Please help! I will mark you the brainliest! In rectangle shown B and F are midpoints of AC and AE, respectively. Find the ratio of the area of quadrilateral ABDF to the area of the rectangle.

Please Help! I Will Mark You The Brainliest! In Rectangle Shown B And F Are Midpoints Of AC And AE, Respectively.

Answers

Answer 1

Answer:

The awnser is 50:100 or simplified 1:2

Step-by-step explanation:

The ratio of ABDF is exactly half of ACDE since F is the midpoint of AE and B is the midpoint of AC


Related Questions

A
Andrea has a $25 gift card
to a art store. She buys four
canvases that are each the same
price. If she now has $2.20 on
her gift card,
what was the price of
each canvas?
Equation:
Solution:​

Answers

Answer:

$5.70

Step-by-step explanation:

First we have to find out how much she spent. SO we do 25-2.20 which is 22.80. Then we have to divide by 4 since she buys four canvases that are the same price. SO 22.80/4=$5.70

Answer: 5.70

Step-by-step explanation:

Gift card = 25

Canvases = x

Since Andrea is buying four canvases, we can say that it is 4x.

Remaining balance = 2.20

Let's set up our equation. To set it up, we can write it like this

4x+2.20= 25

Now, subtract 2.20 on each side

4x = 22.8

Now divide, and you get around 5.70

So, each canvas was $5.70

Solve |3x + 9| + 6 = 6 Question 5 options: A) x = 3 B) x = 3 or x = –3 C) No solutions D) x = –3

Answers

Answer:

Hey there!

We have |3x + 9| + 6 = 6. Subtracting 6 from both sides gives us |3x + 9| = 0.

3x+9=0

3x=-9

x=-3

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Subtracting 6 from both sides yields |3x + 9| = 0.  For this to be true, 3x + 9 must be 0, and so x must be -3.

If one factor of 6.x2 + 5x – 6 is
3.x - 2, the other factor is
A.
3.x + 3
B. 6x + 3
C. 2x + 3
D. 2.x - 3

Answers

C. 2x + 3

You have many ways to solve this!
You could...

A) multiply all the answer choices by 3x-2 and see what matches

B) Factor the trinomial

C) Divide the trinomial by the binomial using long division
c is would be your answer

Solve for x .........

Answers

Answer:

x = 29/20 or x = 1.45

Step-by-step explanation:

6/x + 5/(4x) = 5

Multiply all terms by x and cancel.

6 + 5/4 = 5x

Combine terms on the left side of the equation.

29/4 = 5x

Divide both sides by 5.

29/4/5 = (5x)/5

29/20 = x

Answer:

x = 29/20

Step-by-step explanation:

[tex] \frac{6}{x} + \frac{5}{4x} = 5[/tex]

Multiply through by the LCM

The LCM of x and 4x is 4x

So we have

[tex] {4x} \times \frac{6}{x} + {4x} \times \frac{5}{4x} = 5 \times {4x} \\ \\ 24 + 5 = 20x \\ \\ 20x = 29 \\ \\ x = \frac{29}{20} \: \: \: or \: \: \: 1 \frac{9}{20} [/tex]

Hope this helps you

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?

Answers

Answer:

The length of AB is 6

Step-by-step explanation:

Graph the question out.

Count from A to B

Which of the following is equivalent to log34

Answers

hope it helps u...

plz mark as brainliest...

compare -5/6 _ -3/7 choose from 1) > 2)

Answers

Answer

1)<2) please put 5 stars

Step-by-step explanation

First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.

6*x=42. x=7 5*7=35. -35/42 is the first fraction.

7*y=42 y=6 3*6=18. -18/42 is the second fraction.

-35/42 would be bigger but since it is negative, it is smaller.

Answer:

1)<2)

Step-by-step explanation:

Read Explain 3 Parts A and B and complete Your Turn #8 below (adapted from Lesson 6.1).
8.
According to the data from the U.S. Census Bureau for 1990-2009, the number of
commercially owned automobiles in the United States can be modeled by the function
A(x) = 1.4x – 130.6x² + 1831.3x + 128,141, where x is the number of years after 1990
and A(x) is the number of automobiles in thousands. The number of privately-owned
automobiles in the United States can be modeled by the function
P(x) = -x + 24.9x² – 177.9x + 1709.5, where x is the number of years after 1990 and
P(x) is the number of automobiles in thousands. Estimate the total number of automobiles
owned in 2005.

Answers

Answer: 130875 automobiles

Step-by-step explanation:

To estimate the total number of automobiles owned in 2005, let's first find the number of years

2005 - 1990 = 15 years

Given that the Commercially owned automobiles in the United States can be modeled by the function

A(x) = 1.4x – 130.6x² + 1831.3x + 128,141, where x is the number of years after 1990

and A(x) is the number of automobiles in thousands.

Substitute 15 for x in the function

A(x) = 1.4(15) – 130.6(15)² + 1831.3(15) + 128,141

A(x) = 21 - 29385 + 27469.5 + 128141

A(x) = 126246.5 automobiles

The number of privately-owned automobiles in the United States can be modeled by the function

P(x) = -x + 24.9x² – 177.9x + 1709.5, where x is the number of years after 1990 

Substitute 15 for x in the function

P(x) = -(15) + 24.9(15)² – 177.9(15) + 1709.5

P(x) = -15 + 5602.5 - 2668.5 + 1709.5

P(x) = 4628.5 automobiles

The total automobile = A(x) + P(x)

Substitutes for A(x) and P(x)

The total automobile = 126246.5 + 4628.5

= 130875

Therefore, the total number of automobiles owned in 2005 is 130875 automobiles

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
O (x,y) - (x + 5, y-3)
(x, y) - (x + 5, y + 3)
(x,y) - (x-3, y + 5)
O (x,y) - (x + 3, y + 5)

Answers

Answer:

[tex](x,y)\rightarrow(x-3,y+5)[/tex]

Step-by-step explanation:

"5 units up" would be "5 added to the current y-value".

"3 units to the left" would be "3 subtracted from the current x-value".

So, the translation rule is:

[tex](x,y)\rightarrow(x-3,y+5)[/tex]

Therefore, Option C should be the correct answer.

Brainilest Appreciated.

The Rule describes the translation is :  (x, y) - (x - 3, y + 5)

We have a rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

We have to determine which of the given rules describes the translation.

A point P(3, 3) is translated 10 units up and 4 units to the left. What will be the new coordinates of this point P?

The new coordinates of this point P will be - P'( - 1, 13).

According to the question, we have -

Upward translation = 5 units

When the upward translation will take place then, each and every point that lies on that rectangle will have its y - coordinate shifted upwards by +5 units.

Leftward Translation = 3 units

When the leftward translation will take place then, each and every point that lies on that rectangle will have its x - coordinate shifted by  - 3  units

to the left.

Hence, rule describes the translation is : (x, y) - (x - 3, y + 5).

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phillp asked 100 students they favourite crisps out of ready salted, cheese and onion, and salt and vinegar. 35 students are boys 12 of these boys liked cheese and onion the best 9 girls liked ready salted the best 25 out of 41 students woh liked salt and vinger the best were girls work out the total number of students who liked ready salted the best.

Answers

Answer:16 students liked ready salted

Step-by-step explanation:

35 students = boys

65 students = girls

Boys:

12/35 like cheese and onion

16/35 like salt and vinegar

7/35 like ready salted

Girls:                  

9/65 like ready salted

25/65 like salt and vinegar

31/65 like cheese and onion

Write an ordered pair for the point

Answers

Answer:

(0, 1)

Step-by-step explanation:

The point lies on the line x = 0.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(0, 1)

A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?

Answers

Answer: 37

====================================================

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

Answer:

37

Step-by-step explanation:

For what values of a the following expressions are true: |a−5|=5−a

Answers

Answer:

Whenever  [tex]a\leq 5[/tex].

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]

So 5 works. Let's try a random number like 3.

[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]

Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.

[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]

Zero works.

[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]

-3 works.

[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]

-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.

[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]

Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].

Hope this helped!

It’s 0 I think but I am not sure I might be wrong but oh well

Point P has coordinates P(-2, 4). What are the coordinates of the image P'' after I translate point P: 4 units to the right 2 units down and then 1 unit to the left and 5 up? 1. The x-coordinate of P'' is: 2.The y-coordinate of P'' is:

Answers

Answer:

  P''(1, 7)

Step-by-step explanation:

4 units right and 1 left will add a net of +3 to the x-coordinate.

2 down and 5 up will add a net of +3 to the y-coordinate.

The coordinates of P with 3 added to each are ...

  P'' = P(-2, 4) +(3, 3) = P''(1, 7)

Try it
y
5
U12.4)
4.
3. Show that the included angles, ZJ and V. are
congruent right angles.
y2-yi
Slope =
*2-X1
The slope of WU is
The slope of VU is
Therefore, U is
3
K(-6,2)
2
V
(52)
H(-3,0)
1W (0, 1)
15 -4 -2 -1 1 2.
3
4 5
-21
J (-5, -3)

Answers

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

slope of WU = (4 - 1)/(2 - 0) = 3/2

slope of VU = (2 - 4)/(5 - 2) = -2/3

product of the slopes: 3/2 * (-2/3) = -1

The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, <U is a right angle.

The slopes of WU and VU are negative reciprocals since their product is -1 Therefore, angle U is a right angle.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope of WU = (4 - 1)/(2 - 0) = 3/2

The slope of VU = (2 - 4)/(5 - 2) = -2/3

The product of the slopes: 3/2 * (-2/3) = -1

Thus, The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, angle U is a right angle.

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what is the nth term of this sequence 7, 9, 11, 13

Answers

Answer:

The nth term of the sequence is

5 + 2n

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

= 7 + 2n - 2

A(n) = 5 + 2n

Hope this helps you

2n+5 I think this is a answer

If you're good at bearings pls help mee
What is the true bearing of Milton from Binji?

Answers

Answer:  024 degrees

The leading 0 is important with true bearings. Any true bearing must be three digits.

======================================================

Explanation:

It's not stated, but I'm assuming that Binji and Congo form a flat horizontal line.

B = Binji's location

M = Milton's location

C = Congo's location

The given angles are M = 76 and C = 38. The missing angle is

B = 180-M-C

B = 180-76-38

B = 66

Subtract this from 90 to get 90-66 = 24

The true bearing of Milton from Binji is 024 degrees

In other words, if you are at Binji's location, face directly north, and turn 24 degrees clockwise (turn to the right), then you'll be facing Milton's location.

-------------

Extra info:

In terms of compass notation, the true bearing of 024 degrees converts to N 24 E. This is the same as E 66 N, though convention usually has north used more often (since it's a common reference point with compasses).

N 24 E = start facing north, turn 24 degrees to the east

E 66 N = start facing east, turn 66 degrees to the north

Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).

Answers

Answer:

3.04 m²

Step-by-step explanation:

Surface Area =0.8x0.4 = 0.32 (two of these - one on each end)

1x0.4=0.4 (two of these - top and bottom) (Strange to cover bottom with screen, but have to follow the directions.)

1x0.8=0.8 (two of these - front and back)

TOTAL = 0.32+0.32+0.4+0.4+0.8+0.8=3.04

Total amount of screen that Alice will need for her habitat is 3.04 meter square

What is Surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Dimensions of the Caterpillar habitat is,

Width w=1 meter

Length l= 0.4 meter

Height h= 0.8 meter

Surface area = 2lw+2lh+2hw

=2×0.4×1+2×0.4×0.8+2×0.8×1

=0.8+0.64+1.6

=3.04 meter square

Hence, Total amount of screen that Alice will need for her habitat is 3.04 meter square

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The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7

Answers

Answer:

B. 13

Step-by-step explanation:

Flower Power Day Number of Flowers median = 37

Rose in the Hand Day Number of Flowers median = 50

50 - 37 = 13

Help need ASAP please!

Answers

Answer:

I ANSWERED FIRST QUESTION

4A= 31.25X

4B=16      

CUZ 500/31.25=16

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

           ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                          PEACE!

Answer:

4a : $31.25 [tex]*[/tex] x, 4b : 15 calculators

Question 5 ( 1 ) : [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ), Question 5 ( 2 ) : { Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }

Step-by-step explanation:

4a. If a school paid $31.25 per calculator, n number of calculators would signify a total cost of $31.25 [tex]*[/tex] n. Similarly if the school bought x number of calculators they paid a total of $31.25 [tex]*[/tex] x.

4b. We know that the school paid $31.25 per calculator, and that they spent $500. To determine the count of calculators we can create an equation that represents the relationship between the total cost, and the number of calculators.

$500 =  $31.25 [tex]*[/tex] x, where x = number of calculators,

x = ( About ) 15 calculators

The exact value was 15.87...but as the number of calculators is a whole number ( you can't have part of a calculator ) our solution had to be rounded down to the nearest whole value. After all, we can't have 16 calculators if there are only " 15.87 " present.

Question 5.

1 ) Kiran won 2 / 3rds as many chips as Jada, so we can say K = [tex]\frac{2}{3}[/tex]J. Similarly Mai won 4 times as many chips as Kiran ( M = 4K ) and Tyler won half as many chips as Mai ( T = [tex]\frac{1}{2}[/tex]M ). Tyler won half as many chips as Mai, but Mai already won 4 times as many chips as Kiran, who in turn won 2 / 3rd as many chips as Jada. Therefore we can substitute each of the expression into one another,

K = [tex]\frac{2}{3}[/tex]J ⇒ M = 4K ⇒ T = [tex]\frac{1}{2}[/tex]M,

M = 4(  [tex]\frac{2}{3}[/tex]J ) ⇒ T = [tex]\frac{1}{2}[/tex]M,

T =  [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ) - this is our expression.

2 ) If Jada won 42 chips, we can calculate the number of chips everyone has, knowing that they each are related by a common expression,

Kiran = [tex]\frac{2}{3}[/tex]J = [tex]\frac{2}{3}[/tex]( 42 ) = 28 chips,

Mai = 4(  [tex]\frac{2}{3}[/tex]J ) = 4( 28 ) = 112 chips,

Tyler = [tex]\frac{1}{2}[/tex]M = [tex]\frac{1}{2}[/tex]( 112 ) = 56 chips

{ Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }

Which of the following relations is not a function? x y 0 1 1 4 -1 4 x y 0 2 1 3 1 -3 x y 0 -2 1 -3 -2 5 x y 0 -2 1 -2 2 -2

Answers

Answer:

-1 4 x y

Step-by-step explanation:

PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 253,980 259,059.60 264,240.79 House 2 (value in dollars) 256,000 263,000 270,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points) (10 points)

Answers

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

What are word problems in mathematics?

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

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I dont understand how they got that awnser​

Answers

Answer:

its quite simple...

the formula to find volume= width x height x length ( or area x length)

Step-by-step explanation:

of A

width =5 cm  height= 9cm

of B

width= 3height= 2

length of whole prism= 4

Volume (A)= w x h x l

                 =  5 x 9 x 4

                = 180 cm³

volume (B)= w x h x l

                = 3 x 2 x 4

                = 24 cm³

add both values to get the volume of whole prism = 180 + 24

                                                                                    = 204 cm³

Because this is a complex shape it had to be broken down into simpler shapes in order for you to calculate the area of the individual shapes, once you’ve done that you can add all the areas together and then multiply it by the lengh (4cm) in order to find its volume.
I hope this helped

Image attached: geometry

Answers

The formula for an area of a rectangle is L times W. So divide 144 by 16 and you get the width, which is 9. The ratios of rectangle A is 16:9. The ratios of rectangle B is 4:x. 16 divide by 4 is 4, so 9 divide by 4 is 9/4 or 2.25.

Select the correct answer from each drop-down menu. In the figure, angle D measures 31° and angle A measures 27°. The measurement of angle B is °. The measurement of angle F is °.

Answers

Answer:

∠B = 63°, ∠F = 59°

Step-by-step explanation:

Given that  angle D measures 31° and angle A measures 27°.

From the diagram attached, ∠ E = 90°, ∠G = 90°.

Also ∠C + ∠G = 180° (sum of angles on a straight line)

∠C + 90 = 180

∠C = 180 - 90 = 90°

To find the measure of ∠B and ∠F, we use the triangles ABC and DEF, remember that the sum of all interior angles of a triangle is 180°. In triangle ABC:

∠A + ∠B + ∠C = 180° (angles in a triangle).

27 + ∠B + 90 = 180

∠B + 117 = 180

∠B = 180 - 117

∠B = 63°

Also in triangle DEF:

∠D + ∠E + ∠F = 180° (angles in a triangle).

31 + 90 + ∠F = 180

∠F + 121 = 180

∠F = 180 - 121

∠F = 59°

Diane runs 10 miles in 55 minutes, how many minuets does she take per mile?

Answers

Step-by-step explanation:

Hi!!

It's simple, you can do it easily.

no. of miles = 10 miles

time = 55 mins.

now,

no. of mins for 1 mile = no. of miles/ time

= 10 /55

=0.18181818 min.

so, she takes 0.181818 or 2/11 min per each mile.

Hope it helps...

10/55 equal to 0.18 minute per miles

Can any one help with this assssap please thanks!!

Answers

Answer:

8,12,16

Step-by-step explanation:

if the pattern is increasing by four's then the next three numbers would be

8,12,16

8 , 12 , 16
The pattern increases by four so 8 , 12 , 16
Are next

What conclusion can you make from the information below?
Three cousins (Donna, Marilyn, and Valr) have three different favorite types
of music (classical, pop, and hip-hop).
• Donna does not like classical.
• Valr does not like classical.

Answers

Answer:

Marilyn likes classical

Donna and Valr likes either pop or hiphop

solve and answer the following prism

Answers

Answer:

1st) Surface Area = 178.7 cm²

Volume = 105 cm³

2nd) Surface Area = 51 m²

Volume = 15 m³

Step-by-step explanation:

1st) 1/2x2.5x7=8.75 (2 of these - one on each end)

7x12=42

12x2.5=30

12x7.433=89.20

S.A=8.75+8.75+42+30+89.2=178.7

Volume=8.75x12=105

2nd) 1/2x3x2=3 (two of these - one on each end)

5x4=20

5x3=15

5x2=10

S.A.=3+3+20+15+10=51

Volume = 3x5=15

An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. The executive then boarded the helicopter and flew to the corporate offices at an average speed of 78 mph. The entire distance from his home to the office was 169.5 if the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work

Answers

Answer:

I not understand

Step-by-step explanation:

what it this

Haha I think u gotta ask your teacher
Other Questions
(2-i)(-3+i) a.-7+5i b. 6 - i c. 5 - 5i d. -5 + 5i Please select the best answer from the choices provided A B C D I dont have a graphing calculator, please help! Katrina owns a dance studio and offers four classes a day for $28.00 each, with 10 people maximum per class. If she decides to offer a 25% discount on the two morning classes offered one day, and all four classes reach the maximum number of people attending, how much money will Katrina make that day? A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x+6y=7.50 10x+5y=8.75 What is the cost of one apple? write a letter to your local government chairman telling him telling him the poor transport system in your community "King Philip" or Metacom Group of answer choices fought alongside of George Washington at the Battle of Fort Necessity was Powhatan's main river for control of the Chesapeake led a revolt against Puritans in New England in the late 1600s was an early convert to Christianity and a firm friend of the Puritans A biology class wanted to study the effect of different materials on the melting rate of ice. They placed pieces of ice, each with a mass of 10g, onto trays. Group 1 was covered in plastic, group 2 was covered in paper, group 3 was covered in aluminum, and group 4 remained uncovered. Each piece of ice was allowed to melt for 15 minutes. Then final mass of the ice, minus the melted water, was recorded at the end of the experiment. What is the dependent variable in this experiment? You have a standard number cube. What is the probability of rolling a number less than 3, and then rolling a prime number? A. 1/3 B. 1/2 C. 1/36 D. 1/6 .......................... What is the average of 3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4 The polynomial function F(x)= 2x^2 +4 has a critical point at which of thefollowing x-values? A. X=0B. X=4C. X=2D. X=-2 Hey loves!!! Can any of you lovely people help me with this question? 6th grade math , help me please :) Please HelpShow Work Consider the following equation. x^2 - 4 x - 1 = 0 To complete the square, first rewrite the equation as x^2 - 4 x = 1. What value would then be added to both sides of the equation to complete the square? (Enter an exact number.) Given that Arccos (3/2)=, what are all the angle measurements for right triangle ABC? Dylan open a credit card account with $725 of available credit now that he has made some purchases Dillons account has only $442.25 of available credit what is the percentage decrease of the amount of available credit and Dillons account? An exterior angle of a triangle is equal to the sum of________ opposite angle Question 6 of 8 >Calculate the standard enthalpy change for the reaction at 25 C. Standard enthalpy of formation values can be found in thislist of thermodynamic properties.H2O(g) + C(graphite)(s)H2(g) + CO(g)KJIcontact usabout usprivacy policy | terms of use |I helpcareersQ5:24 PM8/2/2020 Following are selected account balances from Penske Company and Stanza Corporation as of December 31, 2018:Penske StanzaRevenues 700,000 400,000Cost of goods sold 250,000 100,000Depreciation expense 150,000 200,000Investment income Not given __Dividend declared 80,000 60,000Retained earnings 600,000 200,000Current assets 400,000 500,000 Copyrights 900,000 400,000Royal agreements 600,000 1,00,0000 Investment in stanza ---- -------Liabilities 500,000 13,80,000Common stock 600,000 200,000Additional paid capital 150,000 80,000 On January 1, 2018, Penske acquired all of Stanza's outstanding stock for $680,000 fair value in cash and common stock. Penske also paid $10,000 in stock issuance costs. At the date of acquisition, copyrights (with a six-year remaining life) have a $440,000 book value but a fair value of $560,000.a. As of December 31, 2018, what is the consolidated copyrights balance?b. For the year ending December 31, 2018, what is consolidated net income?c. As of December 31, 2018, what is the consolidated retained earnings balance?d. As of December 31, 2018, what is the consolidated balance to be reported for goodwill?