Question

Solve the equation. Check your answer.

x + 7 = 4

x = [ ]

Answers

Answer
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Part 1
Solve the equation using addition or subtraction. Check your answer.


- 5 + x = 17


x = [ ]
Answer
Solve the equation using multiplication or division. Check your answer.

-7x = 42

x = [ ]
Answer
Solve the equation using multiplication or division. Check your answer.


78 = 1.5x

x = [ ] (Type an integer or a​ decimal.)
Answer
Solve and check.


x/5 = -10
Answer
Solve and check.

5/3m = 15
Answer
Solve the equation. Check your answer.


7/4m = 1/4
Answer
Solve the equation. Check your answer.


-22 = 2 + 4x

x = (Simplify your​ answer.)
Answer
Solve and check.


6x + 9 = 33
Answer
Solve and check.


y/6 - 3 = 5
Answer
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 180 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 920 lb. How many boxes of books can the delivery person bring up at one​ time?


The delivery person can bring up [ ] boxes of books.
​(Type a whole​ number.)
Answer
Solve the equation. Check your answer.


k - 3/5 = 11

k = [ ] (Type an integer or a​ decimal.)
Answer
that was incorrect
Answered by GPT 3.5
x = -3
Answered by GPT 3.5
x = 22
Answered by GPT 3.5
To solve the equation -7x = 42, we can divide both sides by -7 to isolate x:

(-7x)/(-7) = 42/(-7)
x = -6

To check our answer, we substitute x = -6 back into the original equation:

-7(-6) = 42
42 = 42

Since both sides of the equation are equal, our solution is correct. Therefore, x = -6.
Answered by GPT 3.5
To solve the equation 78 = 1.5x, we can divide both sides by 1.5 to isolate x:

78 / 1.5 = 1.5x / 1.5
52 = x

To check our answer, we substitute x = 52 back into the original equation:

78 = 1.5(52)
78 = 78

Since both sides of the equation are equal, our solution is correct. Therefore, x = 52.
Answered by GPT 3.5
To solve the equation x/5 = -10, we can multiply both sides of the equation by 5 to get rid of the fraction:

(x/5) * 5 = (-10) * 5
x = -50

To check our answer, we substitute x = -50 back into the original equation:

(-50)/5 = -10
-10 = -10

Since both sides of the equation are equal, our solution is correct. Therefore, x = -50.
Answered by GPT 3.5
To solve the equation 5/3m = 15, we can first multiply both sides of the equation by 3 to get rid of the fraction:

(5/3m) * 3 = 15 * 3
5m = 45

Next, we divide both sides of the equation by 5 to isolate m:

5m/5 = 45/5
m = 9

To check our answer, we substitute m = 9 back into the original equation:

5/3(9) = 15
15 = 15

Since both sides of the equation are equal, our solution is correct. Therefore, m = 9.
Answered by GPT 3.5
To solve the equation 7/4m = 1/4, we can start by multiplying both sides of the equation by 4 to get rid of the fraction:

(7/4m) * 4 = (1/4) * 4
7m = 1

Next, we divide both sides of the equation by 7 to isolate m:

7m/7 = 1/7
m = 1/7

To check our answer, we substitute m = 1/7 back into the original equation:

7/4(1/7) = 1/4
1/4 = 1/4

Since both sides of the equation are equal, our solution is correct. Therefore, m = 1/7.
Answered by GPT 3.5
To solve the equation -22 = 2 + 4x, we can start by subtracting 2 from both sides of the equation:

-22 - 2 = 2 + 4x - 2
-24 = 4x

Next, we divide both sides of the equation by 4 to isolate x:

(-24)/4 = (4x)/4
-6 = x

To check our answer, we substitute x = -6 back into the original equation:

-22 = 2 + 4(-6)
-22 = 2 - 24
-22 = -22

Since both sides of the equation are equal, our solution is correct. Therefore, x = -6.
Answered by GPT 3.5
To solve the equation 6x + 9 = 33, we can start by subtracting 9 from both sides of the equation:

6x + 9 - 9 = 33 - 9
6x = 24

Next, we divide both sides of the equation by 6 to isolate x:

(6x)/6 = 24/6
x = 4

To check our answer, we substitute x = 4 back into the original equation:

6(4) + 9 = 33
24 + 9 = 33
33 = 33

Since both sides of the equation are equal, our solution is correct. Therefore, x = 4.
Answered by GPT 3.5
To solve the equation y/6 - 3 = 5, we can start by adding 3 to both sides of the equation:

y/6 - 3 + 3 = 5 + 3
y/6 = 8

Next, we multiply both sides of the equation by 6 to isolate y:

(y/6) * 6 = 8 * 6
y = 48

To check our answer, we substitute y = 48 back into the original equation:

48/6 - 3 = 5
8 - 3 = 5
5 = 5

Since both sides of the equation are equal, our solution is correct. Therefore, y = 48.
Answered by GPT 3.5
To find out how many boxes of books the delivery person can bring up at one time, we need to subtract the weight of the delivery person from the maximum capacity of the elevator and then divide the result by the weight of each box.

Maximum capacity of the elevator - Weight of the delivery person = Maximum weight for the boxes

920 lb - 180 lb = 740 lb

Now, we need to divide the maximum weight for the boxes by the weight of each box to find out how many boxes can be brought up:

740 lb / 50 lb = 14.8

Since we cannot have a fraction of a box, the delivery person can bring up a maximum of 14 boxes of books at one time.

The delivery person can bring up 14 boxes of books.
Answered by GPT 3.5
To solve the equation k - 3/5 = 11, we can start by adding 3/5 to both sides of the equation:

k - 3/5 + 3/5 = 11 + 3/5
k = 11 + 3/5

To add 11 + 3/5, we need a common denominator. The common denominator between 5 and 1 is 5. Thus, we can rewrite 11 as 11/1:

k = 11/1 + 3/5

To add these fractions, we need a common denominator of 5:

k = (11/1)*5/5 + 3/5
k = 55/5 + 3/5
k = 58/5

To check our answer, we substitute k = 58/5 back into the original equation:

(58/5) - 3/5 = 11
55/5 = 11
11 = 11

Since both sides of the equation are equal, our solution is correct. Therefore, k = 58/5.
Answered by GPT 3.5
Apologies for the mistake. Let's solve the equation correctly.

To solve the equation k - 3/5 = 11, we can add 3/5 to both sides of the equation to isolate k:

k - 3/5 + 3/5 = 11 + 3/5
k = 11 + 3/5

To add the fractions, we need a common denominator of 5:

k = 11 + (3/5)
k = (11 * 5/5) + (3/5)
k = 55/5 + 3/5
k = 58/5

Therefore, the solution to the equation is k = 58/5.

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