Consider the steps to solve the equation. 2 5 ( 1 2 y + 20 ) − 4 5 = 9 20 (2y − 1) Distribute: 1 5 y + 8 − 4 5 = 9 10 y − 9 20 What is the next step after using the distributive property? Use the multiplication property of equality to isolate the variable term on one side of the equation. Use the multiplication property of equality to isolate the constant on one side of the equation. Combine the like terms on the right side of the equation. Combine the like terms on the left side of the equation.

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

      = 6² + 8²

AD = [tex]\sqrt{36+64}[/tex]

      = [tex]\sqrt{100}[/tex]

      = 10

Therefore, measure of side AD = 10 units

Answer:

B: 2 1/3 > 2 1/6

is the correct answer

A,C, and D are false answers and are incorrect

Answer:

2 1/3 > 2 1/6

Step-by-step explanation:

5/6 < - 1/3

2 < -2 1/2

negative cannot be bigger than positive

1 1/4 > 1 1/3 if you divide them you would get 1.25 > 1.333333, so 1 1/4 not bigger than 1 1/4

Answer:

135feet

Step-by-step explanation:

Answer:

60 percent

Step-by-step explanation:

so 50 is half of 100,right? so that means you can just multiply everything by 2 to make it easier. so then there are 100 students and 40 play basket ball. so that means 40 percent play basketball and that only leaves 60 remaining :)

x = total age of boys

x / 30 = 11yrs

Multiply both sides by 30

x = 330

y = total age of girls

y / 20 = 12

Multiply both sides by 20

y = 240

(240 + 330) / 50 = 11.4 yrs

The average age of the whole class = 11.4 years.

A class has 30 boys and 20 girls.

The average age of boys and girls is 11 and 12 respectively.

The average age of the whole class.

Boys = No. of boys × Age

Boys = 30 × 11 = 330

Girls = No. of girls × Age

Girls = 20 × 12 = 240

Average Age = Boys + Girls / Total no. of boys and girls

Average Age = 330 + 240 / 50

Average Age = 570 / 50

Average Age = 11.4

Average age of of the whole class is 11.4 .

Answer:

[tex]-\frac{1}{12}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{-1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{-7}{12}[/tex] + [tex]\frac{1}{2\\}[/tex]

[tex]\frac{-1}{12}[/tex]

at:5

ts:11

oa:5

hope this helps you!

Answer:

Perimeter: 42cm

Area: 66cm^2

Step-by-step explanation:

Answer:

P42 cm - P26 cm = 16 cm + 13 cm = P = 26 cm

Step-by-step explanation:

Those are two rectangles. One total and deduct the missing piece.

P=2(l+w)

First: Total 12 by 9 rectangles = P42 cm

Second: Lengths = 12 -5 = 7 and 9-3 = 6 = P=26

Thirs: add the missing lengts! 7 + 6 cm

Answer:

The equality is false because one side is positive and the other side negative.

Step-by-step explanation:

5(4)+7        

Multiply the numbers 4 and 5

20

20+7

add the numbers 20 and 7

27[tex]\neq[/tex]-3

so the number 4 is not the solution

Answer:

Im not sure but lets play warzone

Step-by-step explanation:

Answer:

x=7

x=8

x=9

(any number greater than or equal to 7)

Step-by-step explanation:

Answer:

greater

Step-by-step explanation:

greater beacause 1 kilo =35.274 ounce

Answer:

52800 feet

that's the answer.

Answer:

The answer is

Step-by-step explanation:

To convert a distance from miles to feet we use the conversion

From the question the value to be converted is 10 miles

We have

if 1 mile = 5280 feet

Then 10 miles = 10 × 5280

We have the final answer as

Hope this helps you

Answer:

I'm trying to find it out to

Step-by-step explanation:

7) [tex]\sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]

8) [tex]\sqrt[3]{216} = \sqrt[3]{6^3} = 6[/tex]

the answer would be 4/four!

Your answer would be four

Answer:

His average speed is 4.75 m/s

Step-by-step explanation:

Here, we are interested in calculating the average speed of the boy.

At time t = 4 seconds, total distance traveled = 6 meters

The average speed here is distance/time = 6/4 = 1.5 m/s

Now at time 30 7 seconds , he has rolled 30 meters

What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds

So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second

Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second

Answer:

x = 4

Step-by-step explanation:

-16 = -5x + x   -->   Collect like terms   -->    -16 = -4x    -->

                   swap the sides of the equation   4x = -16   -->  

   Divide both sides of the equation by -4   -->      x =4  

Answer:

13 yards

Step-by-step explanation:

Answer:

12m

Step-by-step explanation:

12 meters . a meter is approx. 4" longer than a yard, x 12 =48 inches (or thereabouts). a yard is 36 inches long therefore 12 meters is longer

Answer: -36 is your answer

Step-by-step explanation:

Answer:

work shown and attached

Answer:

I cant answer everything but I know that there are 8 cups in a liter

Step-by-step explanation:

Answer:

B,D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

To find f(g(x)), you plug in g(x) into f(x).

[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex]                [combine like terms]

[tex]f(g(x))=\sqrt{8x-4}[/tex]                           [factor]

[tex]f(g(x))=\sqrt{4(2x-1)}[/tex]                      [square root of 4]

[tex]f(g(x))=2\sqrt{2x-1}[/tex]

Now, we know that the answer is C.