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SIZIF [17.4K]
2 years ago
9

Solve the following word problem using two variables. Show each step of your work.

Mathematics
1 answer:
masha68 [24]2 years ago
7 0

Answer:

John is 16 and Maya is 11

Step-by-step explanation:

x=Maya's age

x+5=John's age

x+x+5=27

2x+5=27

     -5   -5

2x=22

/2    /2

x=11

x+5=

11+5= 16

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6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
vova2212 [387]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

4 0
3 years ago
Choose the greatest of the four
iragen [17]

Answer:

D 1.33

Step-by-step explanation:

B and C are less than 1

A is one and .30

D is one and .33

33>30

4 0
3 years ago
Read 2 more answers
A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the nearest tenth.
lisabon 2012 [21]
<span><u>Answer </u>
A) 〖128.6〗^o

<u>Explanation </u>
The question requires us to find the interior angle of a regular heptagon.
To do this first calculate the exterior angle of that polygon.
The sum of exterior angles is 360o. A heptagon has 7 sides.
So, one exterior angle = 〖360〗^o/7=〖51.4〗^o
interior angle+exterior angle=〖180〗^o
exterior=180-51.4=〖128.6〗^o
</span>
8 0
3 years ago
Read 2 more answers
A student takes 1/6 hour to paint a picture frame. How many picture frames can the student paint in 4 hours
Sergeeva-Olga [200]

Answer:

24 picture frames

Step-by-step explanation:

Since a student takes 1/6 hour to paint a picture frame, so in an hour, the student will paint a total of 6 picture frames. So to find the number of picture frames in 4 hours, you just need to multiply 4*6 to get 24 picture frames.

6 0
3 years ago
Read 2 more answers
What is the equation of the line?
ki77a [65]

Answer:

y=1/2+2

Step-by-step explanation:

go up 1 and right 2 thats how you get 1/2 also its 2 point above the orgin so its +2

remember y=x+b  1/2 is the x(slope) and 2 is b

7 0
2 years ago
Read 2 more answers
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