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Igoryamba
4 years ago
7

A group of students auditioned for a theater performance and 3/4 of the group less six students made up the cast of 42 students.

Write an equation to represent the total number of students who auditioned, t.
Mathematics
1 answer:
LenKa [72]4 years ago
8 0

Answer:

3/4x-6=42

x=64

Step-by-step explanation:

Let the number of students be x hence 3/4 of this number will be 3/4x

Since the number was 42 if they were 3/4x less six, it means minus six hence

3/4x-6=42

Therefore, the equation will be

3/4x-6=42

Solving the equation

3/4 x=42+6=48

3/4x=48

X=62

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Find the surface of the triangular prism
svetoff [14.1K]

Answer:

Step-by-step explanation:

6²+8²=36+64=100=10²

so it is a right angled triangular prism.

surface area=2×(1/2 ×8×6)+(6+8+10)×7

=48+980

=1028 sq. m.

8 0
3 years ago
Read 2 more answers
pls help i need it . A linear function contains the following points. What are the slope and y-intersept of this function?
Annette [7]

Answer:

A

Step-by-step explanation:

We will use the formula for finding slope rise/run = y2 - y1/x2 - x1

6 - 8/0 - -2 = -2/2 = -1

And for the y-intercept, if x is 0 on that point, the y value is the y-intercept.

On this table, when x was 0, y was 6. So 6 is the y-intercept.

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2 years ago
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Anne has a broken ruler. It starts at the 3-inch mark and ends at the 12-inch mark. Explain how Anne could use the ruler to meas
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She would start at the 3 inch mark and count from there.
6 0
3 years ago
I need the answers pls!
Law Incorporation [45]

Given:

The equation is

\dfrac{2a-4}{3}=8

To find:

The reason for second step.

Solution:

We have,

\dfrac{2a-4}{3}=8

Using multiplication property of equality, multiply both sides by 3.

3\left(\dfrac{2a-4}{3}\right)=3(8)

2a-4=24

Using addition property of equality, add 4 on both sides.

2a-4+4=24+4

2a=28

Using division property of equality, divide both sides by 2.

\dfrac{2a}{2}=\dfrac{28}{2}

a=14

So, the reason for second step is multiplication property (=).

Therefore, the correct option is D.

3 0
3 years ago
Lake mead contains approximately 28,945,000 acre feet of water and there are about 326,099 gallons in 1 acre foot the approximat
Dmitry_Shevchenko [17]

The value of a is 12

<u>Step-by-step explanation:</u>

Here we have , Lake mead contains approximately 28,945,000 acre feet of water and there are about 326,099 gallons in 1 acre foot . We need to find that the approximate number of gallons of water in lake mead is 9.4 \times 10^a what is the value of a . Let's find out :

We have, 1 acre foot = 326,099 gallons

So , 28,945,000 acre feet =  326,099 gallons ( 28,945,00 )

⇒ 326,099 (28,945,000 )

⇒ 9.4389356e+12

⇒ 9.4(10^{12})

Therefore , comparing this 9.4(10^{12}) with 9.4 \times 10^a  we see that value of a = 12 .So , Value of a is 12 in  number of gallons of water in lake mead 9.4 \times 10^a.

8 0
3 years ago
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