Answer:
3, 17
Step-by-step explanation:
1st number = x
2nd number = 4x+5
x+4x+5=20
5x=15
x=3
1st number = 3
2nd number = 4(3)+5=12+5=17
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
Answer:
I not understand
Step-by-step explanation:
what it this
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
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
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 °.
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°
How do you solve this type of problem, what would be the procedure? Assume PQRS is a parallelogram, if PQ=x2−10 and SR=3x , find all possible values of x.
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
Shape: Parallelogram PQRS
[tex]PQ = x^2 - 10[/tex]
[tex]SR = 3x[/tex]
Required
Find all possible values of x
Every parallelogram have parallel and equal opposite sides;
From the given parameters, one can easily deduce that PQ and SR are opposite sides;
This implies that
[tex]PQ = SR[/tex]
Substitute values of PQ and SR
[tex]x^2 - 10 = 3x[/tex]
Subtract 3x from both sides
[tex]x^2 - 10 -3x = 3x - 3x[/tex]
[tex]x^2 - 10 -3x = 0[/tex]
Rearrange
[tex]x^2 -3x- 10 = 0[/tex]
Now, we have a quadratic equation;
Expand the above expression
[tex]x^2 +2x-5x- 10 = 0[/tex]
Factorize
[tex]x(x+2)-5(x+2) = 0[/tex]
[tex](x-5)(x+2) = 0[/tex]
[tex]x - 5 = 0[/tex] or [tex]x + 2 = 0[/tex]
Solve for x in both cases
[tex]x = 5[/tex] or [tex]x = -2[/tex]
But x can't be negative;
So, the possible value of x is
[tex]x = 5[/tex]
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 23 and 44
Answer:
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
Step-by-step explanation:
we will use the concept of triangle
1. sum of two sides of triangles is always greater than the third side
2. difference of trow sides of triangle is always less than the third side.
Given two sides
23 and 44
let the third side b x
using first concept
sum of to sides = 23+44 = 67
thus,
x <67
using second concept
Difference of to sides = 44 - 23 = 21
thus,
x > 21
Combining
x <67 and x > 21
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
if a person were to. begin exercise regularly, would his or her metabolism increase or decrease? what effect might this have on his or her body?
Answer:
increase
Step-by-step explanation:
The rate at which you burn calories is called your metabolic rate. During exercise, you not only increase metabolism in your muscles but also in your respiratory and circulatory systems. You need a faster rate of breathing and heart rate to deliver oxygen and nutrients to your muscles.
4x2 + 8x - 7 - (3x2 - X+9)
Answer:
[tex] {x}^{2} + 9x - 16[/tex]Step-by-step explanation:
[tex]4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:
[tex]4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9[/tex]
Collect like terms
[tex]4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9[/tex]
[tex] {x}^{2} + 9x - 7 - 9[/tex]
Calculate
[tex] {x}^{2} + 9x - 16[/tex]
Hope this helps...
Good luck on your assignment...
Image attached: geometry
Diane runs 10 miles in 55 minutes, how many minuets does she take per mile?
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...
If y varies inversely with x and y= 17
when z = 11
when y = 11
find y when x=19
.
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number and the equation
Answer:
The number is 32.
The equation is 32 - 9 = 23.
Explanation:
The original number is 32, but when you subtract 9, the number changes to 23. So the digits reversed.
The required number is 32 and the equation is 10x+y.
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. To Find the number and the equation
In mathematics it deals with numbers of operations according to the statements.
Let the number at unit place is y and at tenth place is x so the number is
=10x+y
Now sum of the number is 5
x + y =5 -------(1)
When 9 is subtracted from the number, the digits will be reversed.
10x+y-9=10y+x
9x-9y=9
x-y=1 ------(2)
Solving equation 1 and 2
y = 2
x = 3
the number 10(3)+2 = 32
Thus, The required number is 32.the equation is 10x+y.
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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.
Answer:
Marilyn likes classical
Donna and Valr likes either pop or hiphop
The box plot shows the amount money that you spend each month on new clothes.
What is the median amount spent?
Answer:
80
Step-by-step explanation:
The median is the middle line of the box plot
Answer:
def 80
Step-by-step explanation:
For what values of a the following expressions are true: |a−5|=5−a
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!
I dont understand how they got that awnser
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= 9cmof B
width= 3height= 2length 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
(will mark brainliest if correct) find area and perimeter
Answer:
32.137 cm squared **Answer varies on how you round for step 2**
Step-by-step explanation:
**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**
If the diameter is also 6 cm then the triangle would be isosceles .
1. Find the area of the triangle.
Formula: (Base x Height) / 2
= 6X6/2 = 18 cm squared
2. Find area of half-circle.
Formula: (πR^2)/2
= (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared
3. Add the areas.
18 + 14.137 = 32.137 cm squared.
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?
Answer:
The length of AB is 6
Step-by-step explanation:
Graph the question out.
Count from A to B
Can any one help with this assssap please thanks!!
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
compare -5/6 _ -3/7 choose from 1) > 2)
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:
which expressions are equivalent to 252 check all that apply
Answer:
answer is5th one
Step-by-step explanation:
5th one is the answers...its equal to the expression given
Help need ASAP please!
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 }
solve and answer the following prism
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
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:
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)
HELP ASAP!
Identify the outlier in the data set and then find the mean and median with and without the outlier.
4, 14, 5, 2, 16, 138, 11
If necessary, round your answers to the nearest tenth.
outlier = 4
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 41.6
median without outlier = 12.5
outlier = 4
mean with outlier = 11
median with outlier = 27.1
mean without outlier = 8
median without outlier = 8.7
outlier = 138
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 8.7
median without outlier = 8
outlier = 138
mean with outlier = 8.7
median with outlier = 8
mean without outlier = 27.1
median without outlier = 11
Answer:
C. outlier = 138
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 8.7
median without outlier = 8
Step-by-step explanation:
Hey there!
Well if the outlier is 138 then we can cross out choices A and B.
So let's find the mean with and without the outlier.
With - 27.1
Without - 8.7
Median)
With - 11
Without - 8
By using this information we can conclude that the answer is C.
Hope this helps :)
Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?
Answer:
210.8
Step-by-step explanation:
Solve: M = 7a + 5ab for a.
Select one:
a. M ( 7 + 5b )
b. M/ ( 7 + Fb)
c. M/ ( 7 - 5b)
d. M(7 - 5b)
algebra 1 really need help
Answer:r
Step-by-step explanation:
On isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.
What is the isolation of a variable in an equation?The isolation of a variable is a process to take one variable on one side of the equation and everything else on the other side. This is done following a set of mathematical operations.
How to solve the question?In the question, we are asked to solve for a, from the given equation:
M = 7a + 5ab.
To solve for a, we will isolate 'a' on one side of the equation, and on the other side, we will have the value of 'a'.
To isolate 'a', we will follow these steps:
M = 7a + 5ab
or, M = a(7 + 5b) ... (Taking a common between 7a and 5ab)
or, a(7 + 5b) = M ... (Changing the sides)
or, {a(7 + 5b)}/(7 + 5b) = M/(7 + 5b) ... (Dividing both sides by (7 + 5b))
or, a = M/(7 + 5b) ... (Simplifying)
Thus, on isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.
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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)
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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Write an ordered pair for the point
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)
You buy boxes of strawberries at the market. Each box cost $6. Write an equation for the number of dollars, d, you spend on b boxes. Yesterday, you purchased 2 boxes. Today you purchase 5 boxes. Place points on the graph to show your purchases yesterday and today.
Answer:
Heyyyy... Your ans!
Plz follow. Me..
Step-by-step explanation:
Answer:
Your answer is d=6b
Step-by-step explanation:
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)
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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