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3 years ago

Check whether the given value of x is a solution to the equation. Justify your answer. 1/3(x+4)=20. x=56.

Mathematics

1 answer:

Shtirlitz [24]3 years ago

7 0

Answer:

True, it is a solution

Step-by-step explanation:

First, let’s distribute 1/3 to x and 4

When we do this, we get:

1/3x+4/3=20

Now, we can solve the equation!

Subtract 4/3 from each side of the equation to isolate the x

We now have 1/3x=18 2/3

Now we divide 1/3 on each side to isolate the x (this is the same as multiplying by 3/1 on each side)

This gets us to x=56

So it is true

Hope this helps! (Please award branliest if possible)

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Ivan

If it is 30% off, then u r paying 70%

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u have a tax rate of 6%.....

11.90 * 1.06 = 12.614 rounds to 12.61 <== total cost including tax

8 0

3 years ago

Read 2 more answers

Need help please and thanks

madreJ [45]

Answer:

2. n = 11

4. g = -2

6. t = 21

8. n = 4

10. y = -1

Step-by-step explanation:

2. 63 = -3(1 - 2n)

Dividing both the side by negative 3 we get

$-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11$

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

$-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2$

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

$-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\$

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

$-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4$

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

$-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1$

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4 years ago

If -1 < x < 0 which of the following has the smallest value?

Katyanochek1 [597]

Answer: (B) x^3

Explanation:

If you compare the graphs of

y = x^2
y = x^3
y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.

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3 years ago

What is the solution of 4 + StartRoot 5 x + 66 EndRoot = x + 10? x = –10 x = 3 x = –10 or x = 3 no solution

irga5000 [103]

This is a question that is not awnsable so your teachers need to get smarter

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3 years ago

Four hundred five times seventy

12345 [234]

Answer:

Step-by-step explanation:

28350, two thousand and eight, three hundred and fifty

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3 years ago

Read 2 more answers

Check whether the given value of x is a solution to the equation. Justify your answer. 1/3(x+4)=20. x=56. ​

Check whether the given value of x is a solution to the equation. Justify your answer. 1/3(x+4)=20. x=56.