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3 years ago

Question 7 #7) What value of m makes the equation true? 3(8 – m) = 5m – 40

Mathematics

2 answers:

Anastaziya [24]3 years ago

7 0

Answer:

Step-by-step explanation:

3(8-m)=5m-40

you first distribute 3 through the parenthesis

24-3m=5m-40

Move the variable to the left and change sign

24-3m-5m=-40

now move the constant to the right

-3m-5m=-40-24

collect like terms

-8m=-40-24

-8m=-64

Divide both sides by -8 and negative divide negative number becomes positive

so m = 8

Katarina [22]3 years ago

5 0

so I put your equation in cymath. feel free to use it whenever you need help. it really do comes in handy.

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mixas84 [53]

Answer:

one

Step-by-step explanation:

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3 years ago

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3 years ago

John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages

oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

$x=5y$ -----> equation A

$y=2z$

$z=y/2$ -----> equation B

$(x+2)+(y+2)+(z+2)=58$

$x+y+z+6=58$

$x+y+z=52$ -----> equation C

Substitute equation A and equation B in equation C and solve for y

$5y+y+y/2=52$

Multiply by 2 both sides to remove the fraction

$10y+2y+y=104$

$13y=104$

$y=8$

<em>Find the value of x</em>

$x=5(8)=40$

<em>Find the value of z</em>

$z=8/2=4$

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0

3 years ago

Solve the equation 6x + 3y = 15 for y. What does y equal if x = 2? If x = 5?

horsena [70]

6(2)+3y=15
12+3y=15
-12 -12
3y=3
3y/3 3/3
y=1

6(5)+3y=15
30+3y=15
-30 -30
3y=-15
3y/3 -15/3
y= -5

4 0

3 years ago

Read 2 more answers

What is the inverse of the function shown( in the form of a graph)

NemiM [27]

Answer:

$y = - 1x + b$

Step-by-step explanation:

The inverse of a slope is the exact opposite slope of the original. I'll show a function below where you can easily solve future problems if you need to.

$- \frac{1}{m} x$

m is the slope, so for the equation above, you simply insert the original slope, being 1, in the equation.

$- \frac{1}{1} x \\ - 1x$

So the inverse slope would be -1.

6 0

3 years ago