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Combine the 4 integers to write expressions that equal the following answers.

((5)/(-3))-15
31.
5×(-3)+15+(-9)=-9
32.
(-3)+5+15+(-9)=8
33.
15÷5-(-9)+(-3)=9
34.
=-7

Combine the $4$ integers to write expressions that equal the following answers. $\newline$ - 3 \longdiv { 5 } - 1 5 $\newline$ $31$ . $5 \times(-3)+15+(-9)=-9$ $\newline$ $32$ . $(-3)+5+15+(-9)=8$ $\newline$ $33$ . $15 \div 5-(-9)+(-3)=9$ $\newline$ $34$ . $=-7$

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Factor sums and differences of cubes

Full solution

Q. Combine the

4

integers to write expressions that equal the following answers.

\newline

- 3 \longdiv { 5 } - 1 5

\newline

31

.

5 \times(-3)+15+(-9)=-9

\newline

32

.

(-3)+5+15+(-9)=8

\newline

33

.

15 \div 5-(-9)+(-3)=9

\newline

34

.

=-7

Calculate Given Expression: To find an expression that equals $\frac{5}{-3}-15$ , we need to use the numbers $5$ , $-3$ , $15$ , and $-9$ in a way that when calculated, the result is equal to $\frac{5}{-3}-15$ .
Combine Integers to Get $-\frac{50}{3}$ : First, let's calculate the given expression to know what value we are aiming for: $\left(\frac{5}{-3}\right)-15 = -\frac{5}{3} - 15 = -\frac{5}{3} - \frac{45}{3} = -\frac{50}{3}$ .
Find Combination Equal to $31$ : Now, we need to combine the integers $5$ , $-3$ , $15$ , and $-9$ to get $-\frac{50}{3}$ . We can start by dividing $5$ by $-3$ , which gives us $-\frac{5}{3}$ . Then we need to subtract a number that is equivalent to $\frac{45}{3}$ when divided by $3$ . Since $\frac{45}{3}$ is $15$ , we can use the number $15$ and subtract it: $-3$ $3$ .
Find Combination Equal to $31$ : Now, we need to combine the integers $5$ , $-3$ , $15$ , and $-9$ to get $-\frac{50}{3}$ . We can start by dividing $5$ by $-3$ , which gives us $-\frac{5}{3}$ . Then we need to subtract a number that is equivalent to $\frac{45}{3}$ when divided by $3$ . Since $\frac{45}{3}$ is $15$ , we can use the number $15$ and subtract it: $-3$ $3$ .The expression that equals $-3$ $4$ is therefore: $-3$ $5$ .
Find Combination Equal to $31$ : Now, we need to combine the integers $5$ , $-3$ , $15$ , and $-9$ to get $-\frac{50}{3}$ . We can start by dividing $5$ by $-3$ , which gives us $-\frac{5}{3}$ . Then we need to subtract a number that is equivalent to $\frac{45}{3}$ when divided by $3$ . Since $\frac{45}{3}$ is $15$ , we can use the number $15$ and subtract it: $-3$ $3$ .The expression that equals $-3$ $4$ is therefore: $-3$ $5$ .For the next expression, we need to find a combination that equals $-3$ $6$ . Let's try to combine the numbers in a way that gets us close to $-3$ $6$ . We can start by multiplying $5$ and $-3$ , which gives us $15$ $0$ . Then we can add $15$ to it, which cancels out the $15$ $0$ , and finally add $-9$ to get close to $-3$ $6$ : $15$ $5$ .
Find Combination Equal to $31$ : Now, we need to combine the integers $5$ , $-3$ , $15$ , and $-9$ to get $-\frac{50}{3}$ . We can start by dividing $5$ by $-3$ , which gives us $-\frac{5}{3}$ . Then we need to subtract a number that is equivalent to $\frac{45}{3}$ when divided by $3$ . Since $\frac{45}{3}$ is $15$ , we can use the number $15$ and subtract it: $-3$ $3$ .The expression that equals $-3$ $4$ is therefore: $-3$ $5$ .For the next expression, we need to find a combination that equals $-3$ $6$ . Let's try to combine the numbers in a way that gets us close to $-3$ $6$ . We can start by multiplying $5$ and $-3$ , which gives us $15$ $0$ . Then we can add $15$ to it, which cancels out the $15$ $0$ , and finally add $-9$ to get close to $-3$ $6$ : $15$ $5$ .The expression $15$ $6$ does not equal $-3$ $6$ ; it equals $-9$ . This is incorrect, so we need to find a different combination.

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