To solve the equation −3x+4=−8, we need to isolate the variable x.
First, subtract 4 from both sides to get rid of the constant on the left side:
−3x = −12
Next, divide both sides by -3 to solve for x:
x = (-12)/(-3) = 4/3
So the solution is x = 4/3.
−3x+4=−8 (1 point)
Responses
4/3
-4
-4
4
4
−4/3
19 answers
−0.1w+23.2=−0.8(1 point)
Responses
-224
-224
-240
-240
240
240
224
Responses
-224
-224
-240
-240
240
240
224
To solve the equation −0.1w+23.2=−0.8, we need to isolate the variable w.
First, subtract 23.2 from both sides to get rid of the constant on the right side:
−0.1w = −0.8 - 23.2
−0.1w = −24
Next, divide both sides by -0.1 to solve for w:
w = (-24)/(-0.1) = 240
So the solution is w = 240.
First, subtract 23.2 from both sides to get rid of the constant on the right side:
−0.1w = −0.8 - 23.2
−0.1w = −24
Next, divide both sides by -0.1 to solve for w:
w = (-24)/(-0.1) = 240
So the solution is w = 240.
4−2x=10(1 point)
Responses
3
3
2
2
-7
-7
-3
Responses
3
3
2
2
-7
-7
-3
To solve the equation 4−2x=10, we need to isolate the variable x.
First, subtract 4 from both sides of the equation to get rid of the constant on the left side:
4 - 2x - 4 = 10 - 4
-2x = 6
Next, divide both sides of the equation by -2 to solve for x:
(-2x) / -2 = 6 / -2
x = -3
So the solution is x = -3.
First, subtract 4 from both sides of the equation to get rid of the constant on the left side:
4 - 2x - 4 = 10 - 4
-2x = 6
Next, divide both sides of the equation by -2 to solve for x:
(-2x) / -2 = 6 / -2
x = -3
So the solution is x = -3.
Mariah wants to buy as many collectible dolls as possible, for $4.50 each. If she has $75.00 to spend, how many dolls can she buy? Which equation represents this situation?(1 point)
Responses
75d=4.575 d is equal to 4 point 5
d+4.5=75d plus 4 point 5 is equal to 75
4.5d=754 point 5 d is equal to 75
d4.5=75
Responses
75d=4.575 d is equal to 4 point 5
d+4.5=75d plus 4 point 5 is equal to 75
4.5d=754 point 5 d is equal to 75
d4.5=75
The correct equation that represents this situation is:
4.5d = 75
This equation states that the cost of each doll, $4.50, multiplied by the number of dolls, d, equals the total amount Mariah has to spend, $75.00.
4.5d = 75
This equation states that the cost of each doll, $4.50, multiplied by the number of dolls, d, equals the total amount Mariah has to spend, $75.00.
−15y+3=−7(1 point)
Responses
50
50
-35
-35
15
15
55
55
Responses
50
50
-35
-35
15
15
55
55
To solve the equation −15y+3=−7, we need to isolate the variable y.
First, subtract 3 from both sides of the equation to get rid of the constant on the right side:
−15y + 3 - 3 = −7 - 3
−15y = -10
Next, divide both sides of the equation by -15 to solve for y:
(-15y) / -15 = -10 / -15
y = 2/3
So the solution is y = 2/3.
First, subtract 3 from both sides of the equation to get rid of the constant on the right side:
−15y + 3 - 3 = −7 - 3
−15y = -10
Next, divide both sides of the equation by -15 to solve for y:
(-15y) / -15 = -10 / -15
y = 2/3
So the solution is y = 2/3.
−1/5y+3=−7(1 point)
Responses
50
50
-35
-35
15
15
55
55
Responses
50
50
-35
-35
15
15
55
55
To solve the equation −1/5y + 3 = −7, we need to isolate the variable y.
First, subtract 3 from both sides of the equation to get rid of the constant on the right side:
−1/5y + 3 - 3 = −7 - 3
−1/5y = -10
Next, multiply both sides of the equation by -5 to solve for y:
(-1/5y) * -5 = -10 * -5
y = 50
So the solution is y = 50.
First, subtract 3 from both sides of the equation to get rid of the constant on the right side:
−1/5y + 3 - 3 = −7 - 3
−1/5y = -10
Next, multiply both sides of the equation by -5 to solve for y:
(-1/5y) * -5 = -10 * -5
y = 50
So the solution is y = 50.
Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/3 the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)
Responses
18
18
2
2
30
30
3
Responses
18
18
2
2
30
30
3
Let's represent the number of cupcakes that JoJo decorates as J.
According to the problem, Darcy decorates 8 cupcakes, which is 2 more than 1/3 of the number of cupcakes that JoJo decorates.
We can set up the equation as follows:
8 = (1/3)J + 2
Now, let's solve for J (the number of cupcakes JoJo decorates).
First, subtract 2 from both sides of the equation:
8 - 2 = (1/3)J + 2 - 2
6 = (1/3)J
To eliminate the fraction, multiply both sides of the equation by 3:
3 * 6 = 3 * (1/3)J
18 = J
Therefore, JoJo decorates 18 cupcakes.
According to the problem, Darcy decorates 8 cupcakes, which is 2 more than 1/3 of the number of cupcakes that JoJo decorates.
We can set up the equation as follows:
8 = (1/3)J + 2
Now, let's solve for J (the number of cupcakes JoJo decorates).
First, subtract 2 from both sides of the equation:
8 - 2 = (1/3)J + 2 - 2
6 = (1/3)J
To eliminate the fraction, multiply both sides of the equation by 3:
3 * 6 = 3 * (1/3)J
18 = J
Therefore, JoJo decorates 18 cupcakes.
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.
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.
The correct answer is:
The product is positive if the signs of the factors are the same.
When multiplying two rational numbers, if both factors have the same sign (either positive or negative), the product will be positive.
The product is positive if the signs of the factors are the same.
When multiplying two rational numbers, if both factors have the same sign (either positive or negative), the product will be positive.
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°
Responses
Rise 4°Rise 4 degrees
Rise 9°Rise 9 degrees
Fall 4°Fall 4degree
Fall 5°
To return to the initial temperature of 81°F, we need to find the difference between the final temperature and the initial temperature.
The temperature initially was 81°F. Then it dropped 9°F and rose 5°F.
To find how much the temperature needs to rise or fall to return to 81°F, we need to calculate the difference between the final temperature and 81°F.
Final temperature = 81°F - 9°F + 5°F = 77°F
The temperature needs to rise 4°F to return to the initial temperature of 81°F.
The temperature initially was 81°F. Then it dropped 9°F and rose 5°F.
To find how much the temperature needs to rise or fall to return to 81°F, we need to calculate the difference between the final temperature and 81°F.
Final temperature = 81°F - 9°F + 5°F = 77°F
The temperature needs to rise 4°F to return to the initial temperature of 81°F.
he 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
Responses
22 feet
22 feet
-52 feet
-52 feet
37 feet
37 feet
52 feet
To find the distance from the basement floor to the roof, we need to calculate the difference between the elevations of the two.
The elevation of the basement floor is -15 ft and the elevation of the roof is 37 ft.
To find the distance, we need to subtract the elevation of the basement floor from the elevation of the roof.
Distance = 37 ft - (-15 ft) = 37 ft + 15 ft = 52 ft
So, the distance from the basement floor to the roof is 52 feet.
The elevation of the basement floor is -15 ft and the elevation of the roof is 37 ft.
To find the distance, we need to subtract the elevation of the basement floor from the elevation of the roof.
Distance = 37 ft - (-15 ft) = 37 ft + 15 ft = 52 ft
So, the distance from the basement floor to the roof is 52 feet.