Austin walks 1/3 of the way to school and stopped to rest. Devyn walks 2/6 of the way to the school and stops to rest who traveled further

The scale factor is 4.

Important information:

From the given figure it is clear that:

DG = 2

D'G' = 8

The scale factor is:

[tex]k=\dfrac{D'G'}{DG}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

Therefore, the scale factor is 4.

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Answer:

y = 15, x = 4

Step-by-step explanation:

Hope this helped!

Answer:

y+15x=4

Step-by-step explanation:

Answer:

[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]

Answer:

Step-by-step explanation:

7/12 / 3/10 = 35/

18

= 1 17/

18

≅ 1.9444444

Answer:

75%

Step-by-step explanation:

First find the number of boys.

80 - 20 = 60

Now find the percentage my taking the number of boys upon the total, times that by 100 which gives the percentage.

[tex]\frac{60}{80}[/tex] × 100 = 75%

Answer:

triangle: 5x-8

square: 4x+8

Step-by-step explanation:

triangle: 2x + 2x + x -8

combine like terms

= 5x-8

square: x + 2 + x + 2 + x + 2 + x +2

combine like terms

= 4x + 8

Answer:

12 ×$0.75 =$8.00

3.75 ÷ 5 = $1.33 a pound,

$1.33 × 12 = $15.96 so store A is offering the best rate.

It is found that Store B is offering the best unit rate for the bananas.

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

Given that Grocery Store A is selling bananas 1/2 pound for $0.75 .

Grocery Store B is selling 5 pounds of bananas for $3.75.

According to the question,

Store A is selling bananas 1/2 pound for $0.75 .

Therefore,

For one pound will be;

= 0.75/0.5

= 1.5

And store B is selling 5 pounds of bananas for; $3.75

Therefore,

One pound will cost;

3.75/ 5 = 0.75

Hence, Store B is offering the best unit rate for the bananas.

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Answer:

Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:

All students took the same comprehensive test.

Step-by-step explanation:

In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable.  If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.

Answer: 252

Step-by-step explanation:

You just multiply 84 by two and then ad another 84.

Answer:

Write in slope-intercept form,

y =mx+bxy=4x+6

Step-by-step explanation:

Answer:

y=2x+5

Step-by-step explanation

Replied to your comment lol

Answer:

Step-by-step explanation:

x = 100° ( being vertically opposite angles )

hope it helps :)

Answer:

x is greater than or equal to -8

Step-by-step explanation:

35/-5 is 7 and since the sign is greater than that means that -5x will be greater than 35

Answer:

29

Step-by-step explanation:

Answer:

The answer is 29

Answer:

33

Step-by-step explanation:

It's decreasing by 7

The relation is the descending the series by 7 and the next term is 33.

We have to determine, find the pattern and what numbers come next

We have given that, 61, 54, 47, 40.

What is the series?

A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.

61-54=7

54-47=7

47-40=7

So the next term is

40-7=33

Therefore the relation is the descending the series by 7 and the next term is 33.

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Answer: 1/6

Step-by-step explanation: To find the probability of rolling a six,

let's use our ratio for the probability of an event.

number of favorable outcomes / total number of outcomes

Since only one side of a die has a six on on it, the number of favorable

outcomes for rolling a six is 1 and since there are six sides to a die and it's

equally likely that the die will landy on any of these sides, the total number

of outcomes is 6.

So the probability of rolling a six is 1/6.

Answer:

No.

Step-by-step explanation:

-2(3)-5=-6-5=-11

-2(3)-2(-5)=-6+10=4, not -4.

1.5 im sorrry again if im wrong:(

Step-by-step explanation:

im sorry if i am wrong

Answer:

178.64 square cm

Step-by-step explanation:

5.8 x 8.8 x 2 = 102.08

8.8 x 8.7 = 76.56

76.56 + 102.08 =

178.64

Hope that helps!

Answer:

12

Step-by-step explanation:

For these problems you should use the pythagorean theorem: a^2+b^2=c^2

In this case, 13=c and 5=a

so:

5^2+x^2=13^2

25+x^2=169

subtract 25 from both sides

x^2=144

√144=12

missing side=12

Answer:

The length of Louis's basement is 85 feet.

Step-by-step explanation:

The area of the basement, A = 4,335 square feet

The width of the basement is  3/5 its length.

Let length be l.

Width = (3/5)l

The area of the basement is given by :

[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]

So, the length of Louis's basement is 85 feet.

Answer:

Side QR is congruent to Side XY.

Side RS is congruent to Side YZ.

Side SQ is congruent to Side ZX.

Angle Q is congruent to Angle X.

Angle R is congruent to Angle Y.

Angle S is congruent to Angle Z.

Step-by-step explanation:

Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.

Answer:

point b

Step-by-step explanation

piont b can go to piont e

Answer:

B

Step-by-step explanation:

Go through each point and see which ones works:

the answear us true im preety sure

Answer:

I don't know if you need help, but the answer to the question in the picture is indeed A. :)

Answer:

259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total

Step-by-step explanation:

Answer:

x = 5.4

Step-by-step explanation:

3/x = 4/7.2

cross-multiply:

4x = 21.6

x = 5.4

Answer:

the answer is 17

Step-by-step explanation:

2w-10=24

10+24=34

34/2=17

so w=17

Answer:

w=17

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation: