MATHEMATICS MIDDLE SCHOOL

You are playing tug-of-war in gym class. At the start, you take two steps back. The other team pulls, and you take three steps forward. Which expression can be used to find how far you are from your original position?-3+2
-2+3
-2+(-3)
2+3

Answers

Answer 1

Answer: the answer is -2+3 because he took two steps backwards plus three steps forward. imagine starting from 0 on a number line.

Answer 2

Answer: -2+3 because if you took two steps back that is -2 and if you take 3steps forward its +3 hope i helped

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What's the solution for 4-7x=18

Answers

Here are the basic steps on how to do it.
4-7x=18
Now you move the 4 onto the other side of the equal bars.
4-4-7x=18-4
Do the total.
-7x=14
Now you divide 14 by -7.
x=-2
There you have it.
Hope this helps!

$4-7x=18\n-7x=14\nx=-2$

Arthur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189to buy the new coat that he wants for school. How much must Arthur earn in the next week? Write an inequality and then solve

Answers

136 + x = 189
-136 -136
x = 53
Arthur must earn $53 in the next week to buy the new coat.

At a restaurant, 5/8 of tye customers who ordered dessert chose apple pie, and 1/3 chose cherry pie. The rest of the customers who ordered dessert chose ice cream. What fraction of the customers who ordered dessert chose ice cream?A. 1/24
B. 2/8
C. 5/11
D. 4/5

Answers

5/8 = 15/24

1/3 = 8/24

15 + 8 =23/24 customers chose pie as a dessert, leaving 1/24 who ordered ice cream. The answer is A.

Hope this helps!

Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and inexponential form by filling in the boxes for exponents.)
2 · 3 · 5

Answers

Answer:

10 × 3^2 ,that's the answer I think

Which of the following exponential functions goes through the points (1, 6) and (2, 12)?f(x) = 3(2)x
f(x) = 2(3)x
f(x) = 3(2)−x
f(x) = 2(3)−x

Answers

Answer

$f(x)=3(2)^x$

Explanation

To solve this, we re using the standard exponential equation: $f(x)=ab^x$

Also, remember that $f(x)=y$

We know that our exponential function goes through the points (1, 6) and (2, 12), so we are going to replace the points in our stander exponential equation and solve for $a$ and $b$ :

For (1, 6)

$x=1$ and $y/f(x)=6$ , so:

$f(x)=ab^x$

$6=ab^1$

$6=ab$

$a=(6)/(b)$ equation (1)

For (2, 12)

$x=2$ and $y/f(x)=12$ , so:

$f(x)=ab^x$

$12=ab^2$ equation (2)

Replace equation (1) in equation (2) and solve for b

$12=ab^2$

$12=((6)/(b)) b^2$

$12=6b$

$b=(12)/(6)$

$b=2$ equation (3)

Replace equation (3) in equation (1) to find a

$a=(6)/(b)$

$a=(6)/(2)$

$a=3$

Now we can complete our exponential function:

$f(x)=ab^x$

$f(x)=3(2)^x$

We can conclude that the exponential function that goes through the points (1, 6) and (2, 12) is $f(x)=3(2)^x$

Skateboards cost $35 each in a local store. The manager says is I buy one, I can buy another for only 2/7 of the normal price. How much would a second skateboard cost?

Answers

the answer to the question

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