Question

Solve for m. −7m=42 (1 point) Responses 49 6 -6 35
Answer
What is the first operation used in solving this equation? m/10−12=−24 (1 point) Responses subtraction subtraction multiplication multiplication addition addition division
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Cody has 22 rare coins. Each year Clark plans to add 15 coins to his collection. How many years will it take Cody to collect 577 coins?(1 point)
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Tom is given the equation 10x+15=20 to solve. He says the solution is 1/2 . Which reason justifies his solution?(1 point) Responses Tom says that to solve the equation you first divide by 10 and then subtract 15. Tom says that to solve the equation you first divide by 10 and then subtract 15. Tom says that to solve the equation you first subtract 15 and then multiply by 10. Tom says that to solve the equation you first subtract 15 and then multiply by 10. Tom says that to solve the equation you first add 15 and then divide by 10. Tom says that to solve the equation you first add 15 and then divide by 10. Tom says that to solve the equation you first subtract 15 and then divide by 10.
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Dr. Burrows is measuring the weight of a substance for a science experiment. He added a mystery substance (m) to his experiment. Dr. Burrows used the equation 13.93 + m = 18.0 to find out how much he added. How much of the mystery substance (m) did he add to his experiment?(1 point)
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The elevation of the basement floor in a building is -15 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?(1 point) Responses 22 feet 22 feet -52 feet -52 feet 37 feet 37 feet 52 feet 52 feet
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On a given morning the temperature was 81°F. The temperature dropped 9°F and then rose 5°F. How much does the temperature need to rise or fall to return to the initial temperature of 81°F?(1 point) Responses Rise 4° Rise 4 degrees Rise 9° Rise 9 degrees Fall 4° Fall 4degree Fall 5°
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Question When multiplying two rational numbers, how is the sign of the product determined?(1 point) Responses The product is positive if the signs of the factors are the same. The product is positive if the signs of the factors are the same. The product is negative if the signs of the factors are the same. The product is negative if the signs of the factors are the same. The sign of the product is always the same as the larger factor. The sign of the product is always the same as the larger factor. The sign of the product is always the same as the smaller factor.
Answered by GPT 3.5
To solve for m, divide both sides of the equation by -7:

−7m = 42

m = 42 / -7

m = -6

So the solution for m is -6.
Answered by GPT 3.5
The first operation used in solving the equation m/10−12=−24 is subtraction.
Answered by GPT 3.5
To find the number of years it will take for Cody to collect 577 coins, we can set up an equation. Let's say the number of years is represented by y.

In the first year, Cody has 22 coins.
In the second year, Cody has 22 coins + 15 coins = 37 coins.
In the third year, Cody has 37 coins + 15 coins = 52 coins.
And so on.

We can see that the number of coins Cody has after y years can be represented by the equation: 22 + 15y.

Now, we can set up an equation to solve for y:
22 + 15y = 577

Subtracting 22 from both sides:
15y = 555

Dividing both sides by 15:
y = 37

Therefore, it will take Cody 37 years to collect 577 coins.
Answered by GPT 3.5
Tom says that to solve the equation you first subtract 15 and then divide by 10.
Answered by GPT 3.5
To find out how much of the mystery substance (m) Dr. Burrows added to his experiment, we can use the given equation:

13.93 + m = 18.0

To isolate the variable (m), we need to subtract 13.93 from both sides of the equation:

m = 18.0 - 13.93

By subtracting, we find that m is equal to:

m = 4.07

Therefore, Dr. Burrows added 4.07 of the mystery substance (m) to his experiment.
Answered by GPT 3.5
To find the distance from the basement floor to the roof, we need to calculate the difference in elevation between the two.

Given that the elevation of the basement floor is -15 ft and the elevation of the roof is 37 ft, we can subtract the elevation of the basement floor from the elevation of the roof:

37 ft - (-15 ft)

To subtract a negative number, we can rewrite the equation as:

37 ft + 15 ft

Adding these values together gives us:

52 ft

Therefore, the distance from the basement floor to the roof is 52 feet.
Answered by GPT 3.5
To determine how much the temperature needs to rise or fall to return to the initial temperature of 81°F, we can consider the change in temperature.

Given that the temperature dropped 9°F and then rose 5°F, we need to calculate the net change in temperature:

Drop of 9°F + Rise of 5°F

This gives us a net change of -4°F.

Since the temperature needs to return to the initial temperature of 81°F, we are looking for the difference between the initial temperature and the current temperature, which is a rise of 4°F.

Therefore, the temperature needs to rise 4°F to return to the initial temperature of 81°F.
Answered by GPT 3.5
When multiplying two rational numbers, the sign of the product is determined by the following rule:

"The product is positive if the signs of the factors are the same."