Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 13
the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)
Responses
18
18
2
2
30
30
3
17 answers
3
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.
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 sign of the product is always the same as the smaller factor.
The product is positive if the signs of the factors are the same.
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, the temperature needs to fall by 4°F.
Since the temperature initially dropped 9°F and then rose 5°F, we can find the difference between the initial temperature and the final temperature by subtracting the rise of 5°F from the drop of 9°F:
9°F - 5°F = 4°F
Therefore, the temperature needs to fall by 4°F to return to the initial temperature of 81°F. So, the correct answer is Fall 4°F.
Since the temperature initially dropped 9°F and then rose 5°F, we can find the difference between the initial temperature and the final temperature by subtracting the rise of 5°F from the drop of 9°F:
9°F - 5°F = 4°F
Therefore, the temperature needs to fall by 4°F to return to the initial temperature of 81°F. So, the correct answer is Fall 4°F.
Divide −3/17
by −2/3
(1 point)
Responses
934
9 over 34
217
2 over 17
−217
negative 2 over 17
−934
by −2/3
(1 point)
Responses
934
9 over 34
217
2 over 17
−217
negative 2 over 17
−934
To divide two rational numbers, we multiply the first number by the reciprocal of the second number.
The reciprocal of a fraction a/b is b/a.
So, to divide -3/17 by -2/3, we can multiply -3/17 by -3/2.
Multiplying the numerators and denominators, we get:
(-3)(-3) / (17)(2) = 9 / 34
Therefore, the result of dividing -3/17 by -2/3 is 9/34. So, the correct answer is 9 over 34.
The reciprocal of a fraction a/b is b/a.
So, to divide -3/17 by -2/3, we can multiply -3/17 by -3/2.
Multiplying the numerators and denominators, we get:
(-3)(-3) / (17)(2) = 9 / 34
Therefore, the result of dividing -3/17 by -2/3 is 9/34. So, the correct answer is 9 over 34.
Find the product.
4/7(−20/2)
(1 point)
Responses
−235
negative 2 over 35
557
5 and 5 sevenths
−557
negative 5 and 5 sevenths
−937
4/7(−20/2)
(1 point)
Responses
−235
negative 2 over 35
557
5 and 5 sevenths
−557
negative 5 and 5 sevenths
−937
To find the product of two rational numbers, we multiply their numerators and denominators.
For 4/7 * (-20/2), we have:
(4 * -20) / (7 * 2) = -80 / 14
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
(-80/2) / (14/2) = -40/7
Therefore, the product of 4/7 * (-20/2) is -40/7. So, the correct answer is negative 40 over 7.
For 4/7 * (-20/2), we have:
(4 * -20) / (7 * 2) = -80 / 14
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
(-80/2) / (14/2) = -40/7
Therefore, the product of 4/7 * (-20/2) is -40/7. So, the correct answer is negative 40 over 7.
what?
I apologize for the confusion. Let's solve the problem again.
To find the product of two rational numbers, we multiply their numerators and denominators.
For 4/7 * (-20/2), we have:
(4 * -20) / (7 * 2) = (-80) / 14
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
(-80/2) / (14/2) = -40/7
Therefore, the product of 4/7 * (-20/2) is -40/7. So, the correct answer is negative 40 over 7.
To find the product of two rational numbers, we multiply their numerators and denominators.
For 4/7 * (-20/2), we have:
(4 * -20) / (7 * 2) = (-80) / 14
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
(-80/2) / (14/2) = -40/7
Therefore, the product of 4/7 * (-20/2) is -40/7. So, the correct answer is negative 40 over 7.
no
I apologize for the mistake. Let's correct it.
To find the product of 4/7 and (-20/2), we need to multiply the numerators and the denominators:
(4 * -20) / (7 * 2) = -80 / 14
Next, we can simplify the fraction. The greatest common divisor of 80 and 14 is 2:
(-80/2) / (14/2) = -40/7
Therefore, the product of 4/7 * (-20/2) is -40/7. So, the correct answer is negative 40 over 7.
To find the product of 4/7 and (-20/2), we need to multiply the numerators and the denominators:
(4 * -20) / (7 * 2) = -80 / 14
Next, we can simplify the fraction. The greatest common divisor of 80 and 14 is 2:
(-80/2) / (14/2) = -40/7
Therefore, the product of 4/7 * (-20/2) is -40/7. So, the correct answer is negative 40 over 7.
Find the product.
4/7 (-20/2)
(1 point)
Responses
−235
negative 2 over 35
557
5 and 5 sevenths
−557
negative 5 and 5 sevenths
−937
4/7 (-20/2)
(1 point)
Responses
−235
negative 2 over 35
557
5 and 5 sevenths
−557
negative 5 and 5 sevenths
−937
To find the product of two fractions, we multiply the numerators together and the denominators together.
For 4/7 * (-20/2), we have:
(4 * -20) / (7 * 2) = -80 / 14
We can simplify this fraction further. The greatest common divisor of 80 and 14 is 2:
(-80/2) / (14/2) = -40/7
Therefore, the product of 4/7 * (-20/2) is -40/7. So, the correct answer is -40/7.
For 4/7 * (-20/2), we have:
(4 * -20) / (7 * 2) = -80 / 14
We can simplify this fraction further. The greatest common divisor of 80 and 14 is 2:
(-80/2) / (14/2) = -40/7
Therefore, the product of 4/7 * (-20/2) is -40/7. So, the correct answer is -40/7.
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
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 subtract the elevation of the basement floor (-15 ft) from the elevation of the roof (37 ft).
37 ft - (-15 ft) = 37 ft + 15 ft = 52 ft
Therefore, the distance from the basement floor to the roof is 52 feet. So, the correct answer is 52 feet.
37 ft - (-15 ft) = 37 ft + 15 ft = 52 ft
Therefore, the distance from the basement floor to the roof is 52 feet. So, the correct answer is 52 feet.