Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time? PLZ EXPLAIN IT VERY SIMPLE

Answer:

7 < (third side length) < 37

Step-by-step explanation:

Add these two side lengths together.  We get 37.  Unless the 3rd side is LESS than 37, we cannot form a triangle.  

Next, subtract 15 from 22, obtaining 7.  The 3rd side has to be GREATER than 7 in order for the sides 7+, 15 and 22 to form a triangle.

7 < (third side length) < 37

Answer:

26.63 ??

Step-by-step explanation:

I think you use pythagorean theorum to solve.

do 22^2 and 15^2 and get 709.1569

sqrt of that is 26.63

Answer:

The car travels different distance per unit of time.

Step-by-step explanation:

Distance per unit time on graph will be = Distance for a given point time/ Time

if we see this in terms of x and y , it will be the slope of the curve on given graph.

y/x = slope of graph

Now solving it becomes easier.

We know that

slope = [tex]tan\alpha[/tex] where [tex]\alpha[/tex] is the positive angle with x axis

For part I

The slope will be tan of some acute angle and we know that

tan of acute angle varies between 0 to 1.

Distance per unit time on graph will be between 0 to 1

for part J

Line is parallel to x axis and hence angle with x axis will be 0

thus,

tan 0 = 0

slope of part j is 0

Distance per unit time on graph will be = 0

For part k the distance is changing at each point hence we have to find

distance for each point and time for each point on coordinate and hence

Distance per unit time on graph for part k will be different at each point.

part L and N can be explained on similar grounds as J

O can be explained by explanation for part K.

Part M can be explained by explanation of part I

here difference will be that slope is obtuse and hence

slope or distance per unit time will be negative

as tan for obtuse angle is between -1 to 0.

Thus, correct option will be

The car travels different distance per unit of time.

Answer:

the answer is below

Step-by-step explanation:

a = 25  

b =  100

c =  17

d =  68

Answer:

The correct answer is

a=  25

b = 100

c = 17

d = 68

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

you would use the reciprocal when changing it from division to multiplication. So, it would be -8x-2 which equals 16.

Answer:

1. (3,-1) and (5,4)  

[tex]Distance\ = 5.39[/tex]    

2. (2,3) and (4,5)

[tex]Distance\ = 2.83[/tex]

3. (-5,7) and (8,5)

[tex]Distance = 13.15[/tex]

4. (-2,4) and (3,-1)

[tex]Distance = 7.07[/tex]

Step-by-step explanation:

Given

The attached

Required

Calculate the distance between each points;

Distance between points is calculated using;

[tex]d =\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

1. (3,-1) and (5,4)

Here; [tex]x_1 = 3; x_2 = 5; y_1 = -1; y_2 = 4[/tex]

Substitute these values in the formula above

[tex]d =\sqrt{(3 - 5)^2 + (-1 - 4)^2}[/tex]

[tex]d =\sqrt{- 2^2 + (-5^2)}[/tex]

[tex]d =\sqrt{4 + 25}[/tex]

[tex]d =\sqrt{29}[/tex]

[tex]d = 5.39[/tex]    (Approximated)

2. (2,3) and (4,5)

Here; [tex]x_1 = 2; x_2 = 4; y_1 = 3; y_2 = 5[/tex]

Substitute these values in the formula above

[tex]d =\sqrt{(2 - 4)^2 + (3 - 5)^2}[/tex]

[tex]d =\sqrt{- 2^2 + (-2^2)}[/tex]

[tex]d =\sqrt{4 + 4}[/tex]

[tex]d =\sqrt{8}[/tex]

[tex]d = 2.83[/tex]    (Approximated)

3. (-5,7) and (8,5)

Here; [tex]x_1 = -5; x_2 = 8; y_1 = 7; y_2 = 5[/tex]

Substitute these values in the formula above

[tex]d =\sqrt{(-5 - 8)^2 + (7 - 5)^2}[/tex]

[tex]d =\sqrt{- 13^2 + 2^2}[/tex]

[tex]d =\sqrt{169 + 4}[/tex]

[tex]d =\sqrt{173}[/tex]

[tex]d = 13.15[/tex]    (Approximated)

4. (-2,4) and (3,-1)

Here; [tex]x_1 = -2; x_2 = 3; y_1 = 4; y_2 = -1[/tex]

Substitute these values in the formula above

[tex]d =\sqrt{(-2 - 3)^2 + (4 - (-1))^2}[/tex]

[tex]d =\sqrt{- 5^2 + (4+1)^2}[/tex]

[tex]d =\sqrt{- 5^2 + 5^2}[/tex]

[tex]d =\sqrt{25 + 25}[/tex]

[tex]d =\sqrt{50}[/tex]

[tex]d = 7.07[/tex]    (Approximated)

Answer:

.

/

/

.

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(1) = 49

f(n+1) = 17f(n)

n = 1 ; f(1+1) = 17* f(1)

           f(2) = 17 * 49 = 833

This is a geometric sequence. Each term is got by multiplying 17 with the previous term, Which means 17 is the common ratio

This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem

Step 1: Create an equation for the perimeter respect to x

The equation for the perimeter p is:

[tex]p=2w+2l[/tex] where w is the width and l is the length

The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:

[tex]p=2(3x+4)+2(2x-1)[/tex]

[tex]=6x+8+4x-2[/tex]

[tex]=10x+6[/tex]

This is the equation for the perimeter

Step 2: Solve for x since we are given the perimeter

We are given that the perimeter is 96, thus we can create the equation:

[tex]10x+6=96[/tex]

Subtract 6 from both sides

[tex]10x=90[/tex]

Divide both sides by 10

[tex]x=9[/tex]

We have now found the value of x

Step 3: Find the length and width now that we know x

Plug the value of x into the expressions for the length and the width that we are given

[tex]\text{Length}=3x+4=3(9)+4=31[/tex]

[tex]\text{Width}=2x-1=2(9)-1=17[/tex]

Step 4: Solve for the area now that we know the dimensions

This is probably the easiest step. Multiply the length and width to find the area:

[tex]31 \times 17=527[/tex]

The area of the patio is 527.

I've double- and triple-checked that this is the correct answer, so do not worry about any errors.

Let me know if you need any clarifications, thanks!

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Answer:

Padoru Deserves a brainliest

Step-by-step explanation:

So i wrote this answer so she could have one please give them a brainliest

Answer:

94

Step-by-step explanation:

There is a common pattern.

4² = 16

Switch digits 16 ⇒ 61

5² = 25

Switch digits 25 ⇒ 52

6² = 36

Switch digits 36 ⇒ 63

7² = 49

Switch digits 49 ⇒ 94

Step-by-step explanation:

Hope it helps...

Answer:

The picture should be easier to look at :)

Step-by-step explanation:

Just got it right on edge 2020

Answer:

-6x + 54y + 4.83 xy + 9.32

Step-by-step explanation:

line up like terms next to each other:

7x - 13 x + 18y + 36y + 4.83xy + 9.32

solve:

-6x + 54y + 4.83xy + 9.32

Answer:

(VOLUME) A=24 cubic units B=98 cubic units C=36 cubic units D=64 cubic units

Step-by-step explanation:

To find Volume you multiply length, height and width.

Answer:

1,2, and 4.

Step-by-step explanation:

Hi there! I know that i am kind of late, but the answer on Edge 2020 are options 1,2, and 4. I hope this helps, have a great rest of your day :D

From the figure the correct options are ΔABC ~ ΔDEC, ∠B ≅ ∠E, 3DE = 2AB.

Given that a right triangle ΔABC is being dilated by a scale factor of 2/3 and reflected over the side AC to form the ΔDEF.

Since we know that in reflection transformations the object are similar so we can conclude that ΔABC ~ ΔDEC.

Also, by the definition of similar triangles,

∠B ≅ ∠E, ∠A ≅ ∠D and ∠ACB ≅ ∠DCE.

Now since the scale factor is 2/3,

so,

2AB = 3DE

2BC = 3CE

2AC = 3DC

Hence the correct options are ΔABC ~ ΔDEC, ∠B ≅ ∠E, 3DE = 2AB.

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Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

Answer:

Isosceles Triangle

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its 3 sides at an equal length. After drawing out the given points on a graph, you can clearly see that the foundation is longer than the other 2 sides. Because the 2 sides that I just mentioned happen to be of equal length, however, means that this triangle can be none other than an Isosceles triangle. If I did anything wrong here, let me know. Have a good rest of your day.  :D

Answer:

ΔPQR is an isosceles triangle.

Step-by-step explanation:

Answer:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Step-by-step explanation:

There are 100 students (40+15+20+25).

20 signed up for Track and Field.

20 out of 100 would equate to 20/100, or 2/10, or:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Answer:

a

Step-by-step explanation:

the two squares are shaded and eight are not

Answer:

13 inches

Step-by-step explanation:

Draw a square and draw a diagonal line through it. It creates a right triangle. So we can then use the Pythagoras theorem to find the length of the object at it's max. so we do a^2+b^2=c^2. So we do (12*12) + (5*5) = 169 and the square root of 169 is 13.

Answer:

[tex]Relative\ Frequency = 0.32[/tex]

Step-by-step explanation:

Given

The table in the attached diagram

Total population of the survey = 353

Required

Relative frequency of respondents who are Republican

First we consider the data in the republican row; this is presented as follows;

Republican:  29 ------ 49 ----- 35

Next, we add up this data to give the total number of respondents who are republicans

Republicans = 29 + 49 + 35

Republican = 113

Recall that

Total population of the survey = 353

The relative frequency is calculated as follow;

[tex]Relative\ Frequency = \frac{Republican}{Total\ Population\ of\ the\ survey}[/tex]

[tex]Relative\ Frequency = \frac{113}{353}[/tex]

[tex]Relative\ Frequency = 0.3201133145[/tex]

[tex]Relative\ Frequency = 0.32[/tex] (Approximated)

Answer:

3.8%

Step-by-step explanation:

there r 2 black 10

2÷52×100=3.8

Answer:

$ 7.50

Step-by-step explanation:

The cost of the picnic cooler would be 100%.

With the 6% sales tax, Anton would pay 106% of the cost if the picnic cooler.

(since 100% +6%= 106%)

106%(picnic cooler)= $7.95

Cost of picnic cooler= 100%(picnic cooler).

Cost of picnic cooler

[tex] = \frac{7.95}{106} \times 100 \\ = 7.50[/tex]

Thus, he paid $7.50 for the cooler alone.

Answer:1

Step-by-step explanation:distribute 3 through the parentheses, move variable to the left hand side and change it’s sign, move constant to the right hand side and change its sign , collect like terms , subtract the numbers and then divide .

Answer:

C. -186,205

Step-by-step explanation:

636,854 - 827,155 + 684,862 - 680,766

=> 1,321,716 - 1,507,921

=> -186,205

The population change of the given data set will be as 82,031,595. so the correct option is C.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Germany has a population of 82,217,800. If there are 636,854 births, 827,155 deaths, 684,862 immigrants, and 680,766 emigrants.

WE need to find the population change.

Now, we have to add the births, deaths and subtact 680,766;

82,217,800 + 636,854 - 827,155 + 684,862 - 680,766

= 82,031,595

Therefore, the population change of the given data set will be as 82,031,595.

So the correct option is C.

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Answer:

1,788

Step-by-step explanation:

You calculate the volume of the cylinder minus the volume of the cube

[tex]volume = (\pi*r^2*height) - (width*lenght*height)\\ volume = (\pi*10^2*6) - (4*4*6) [yards]\\volume = 1,788[/tex]

The volume of solid in cubic yards is 1,788 cubic yards

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

The radius of the solid = 10 yards

The height of the solid = 6 yards

The length of the box = 4 yards

The width of the box = 4 yards

Now ,

The volume of the solid = Volume of the cylinder - Volume of box

And ,

The Volume of cylinder = π x r² x h

The Volume of box = length x width x height

So , substituting the values in the equation , we get

Volume of Cylinder = π x r² x h

                                = ( 22/7 ) x 10 x 10 x 6

                                = ( 22/7 ) x 600

                                = 1884.95 yards³

Volume of the box = length x width x height

                               = 4 x 4 x 6

                               = 96 yards³

Therefore ,

The volume of the solid = Volume of Cylinder - Volume of the box

The volume of the solid = 1884 yards³ - 96 yards³

                                        = 1788 yards³

Hence , the volume of the solid is 1788 cubic yards

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Answer:

1.03x

Step-by-step explanation:

1 year b would be the inital investment added with interest

i believe this is the equation

b = x + r(x)= (1 + r)x

and since it says 3% each year we know its 0.03 (r)

and when you solve it out you get that answer

Answer:

Step by step explanation

[tex] \frac{5}{9} x = 90[/tex]

Multiply both sides of equation by 9/5

[tex] \frac{9}{5} \times \frac{5}{9} x = \frac{9}{5} \times 90[/tex]

Reduce the numbers with Greatest common factor 9

[tex] \frac{1}{5} \times 5x = \frac{9}{5} \times 90[/tex]

Reduce the numbers with G.C.F 5

[tex]x = 9 \times 18[/tex]

Multiply the numbers

[tex]x = 162[/tex]

Hope this helps..

Best regards!!

Answer:

1 62

Step-by-step explanation:

Answer:

A, B, C

Step-by-step explanation:

4 - (-5) + 0

4 - (-5) = 4 + 5 (because a negative + negative = positive)

4 + 5 = 9

a, b and c all equal 9

hopefully this helped you!! :3

Let’s see if I can help you :)!

With two points you can define a line.

So, the line parallel to s is q, which has these two pointS: (3,6) and (6,3)

There are different ways to get the line. For instance, this one:

Y = a*x+b

a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,

y = -x + b,

Now use any point, say (3,6) to get b:

6 = -3+b-> b - 9.

Line is y = -x + 9,

It checks out in the other point: (6,3) —> 3 = -6+9 = 3. Good.

Other method:

y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.

Really hope this helped you!

Answer:

The answer is B

Step-by-step explanation:

Answer:

It is a trapezium, I guess

Step-by-step explanation:

To know more see the picture attached