-84 - (-45) =
17 answers
-84 - (-45) equals -39.
At her birthday party, Marcie's guests ate 2/3
of her birthday cake, and her family ate 1/4
of the cake. How much cake was left after her party?
of her birthday cake, and her family ate 1/4
of the cake. How much cake was left after her party?
To find how much cake was left after the party, we need to subtract the portions eaten from the total cake.
Marcie's guests ate 2/3 of the cake, so the portion left is 1 - 2/3 = 1/3 of the total cake.
Marcie's family ate 1/4 of the cake, so the remaining portion is 1/3 - 1/4 = (4/12) - (3/12) = 1/12 of the total cake.
Therefore, 1/12 of the cake was left after the party.
Marcie's guests ate 2/3 of the cake, so the portion left is 1 - 2/3 = 1/3 of the total cake.
Marcie's family ate 1/4 of the cake, so the remaining portion is 1/3 - 1/4 = (4/12) - (3/12) = 1/12 of the total cake.
Therefore, 1/12 of the cake was left after the party.
Mary has $500 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account?
Responses
Responses
Mary's initial amount in her account is $500.
After making a $350 withdrawal, she has $500 - $350 = $150 left.
After depositing $100, she now has $150 + $100 = $250.
After being charged a $20 fee, she now has $250 - $20 = $230.
Therefore, Mary has $230 in her account.
After making a $350 withdrawal, she has $500 - $350 = $150 left.
After depositing $100, she now has $150 + $100 = $250.
After being charged a $20 fee, she now has $250 - $20 = $230.
Therefore, Mary has $230 in her account.
On a given morning the temperature was 71°F. The temperature dropped 5°F and then rose 8°F. How much does the temperature need to rise or fall to return to the initial temperature of 71°F?
The temperature initially was 71°F.
It dropped 5°F, so the temperature became 71°F - 5°F = 66°F.
Then, it rose 8°F, so the temperature became 66°F + 8°F = 74°F.
To return to the initial temperature of 71°F, the temperature needs to drop 74°F - 71°F = 3°F.
Therefore, the temperature needs to drop by 3°F to return to the initial temperature of 71°F.
It dropped 5°F, so the temperature became 71°F - 5°F = 66°F.
Then, it rose 8°F, so the temperature became 66°F + 8°F = 74°F.
To return to the initial temperature of 71°F, the temperature needs to drop 74°F - 71°F = 3°F.
Therefore, the temperature needs to drop by 3°F to return to the initial temperature of 71°F.
-14.25 + -3.78 - (-5.78) - 3.4
-14.25 + -3.78 - (-5.78) - 3.4 equals -14.25 + (-3.78) + 5.78 - 3.4.
Combining like terms, this becomes -14.25 - 3.78 + 5.78 - 3.4.
-14.25 - 3.78 equals -18.03.
5.78 - 3.4 equals 2.38.
So, -14.25 - 3.78 + 5.78 - 3.4 becomes -18.03 + 2.38.
Finally, -18.03 + 2.38 equals -15.65.
Therefore, -14.25 + -3.78 - (-5.78) - 3.4 equals -15.65.
Combining like terms, this becomes -14.25 - 3.78 + 5.78 - 3.4.
-14.25 - 3.78 equals -18.03.
5.78 - 3.4 equals 2.38.
So, -14.25 - 3.78 + 5.78 - 3.4 becomes -18.03 + 2.38.
Finally, -18.03 + 2.38 equals -15.65.
Therefore, -14.25 + -3.78 - (-5.78) - 3.4 equals -15.65.
Mrs. Bailey is knitting a striped blanket for her granddaughter. She made 14
of the blanket pink, 38
of the blanket green, and the rest of the blanket was white. Which fraction represents the white part of the blanket?
Responses
of the blanket pink, 38
of the blanket green, and the rest of the blanket was white. Which fraction represents the white part of the blanket?
Responses
To find the fraction that represents the white part of the blanket, we need to subtract the fractions that represent the pink and green parts of the blanket from 1 (since the total fraction of the blanket is 1).
The fraction representing the pink part of the blanket is 14/14.
The fraction representing the green part of the blanket is 38/14.
Thus, the fraction representing the white part of the blanket is 1 - (14/14) - (38/14).
Simplifying this, we get 1 - 1 - (38/14) = 0 - (38/14) = - (19/7).
Therefore, the white part of the blanket is represented by the fraction -19/7.
The fraction representing the pink part of the blanket is 14/14.
The fraction representing the green part of the blanket is 38/14.
Thus, the fraction representing the white part of the blanket is 1 - (14/14) - (38/14).
Simplifying this, we get 1 - 1 - (38/14) = 0 - (38/14) = - (19/7).
Therefore, the white part of the blanket is represented by the fraction -19/7.
Mrs. Bailey is knitting a striped blanket for her granddaughter. She made 1/4
of the blanket pink, 3/8
of the blanket green, and the rest of the blanket was white. Which fraction represents the white part of the blanket?
Responses
of the blanket pink, 3/8
of the blanket green, and the rest of the blanket was white. Which fraction represents the white part of the blanket?
Responses
To find the fraction that represents the white part of the blanket, we need to subtract the fractions that represent the pink and green parts from 1 (since the total fraction of the blanket is 1).
The fraction representing the pink part of the blanket is 1/4.
The fraction representing the green part of the blanket is 3/8.
Thus, the fraction representing the white part of the blanket is 1 - (1/4) - (3/8).
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 8.
Converting the fractions to have a denominator of 8:
(1/4) * (2/2) = 2/8
(3/8)
Now we can subtract the fractions:
1 - 2/8 - 3/8 = 8/8 - 5/8
Simplifying, we get:
(8 - 5)/8 = 3/8
Therefore, the white part of the blanket is represented by the fraction 3/8.
The fraction representing the pink part of the blanket is 1/4.
The fraction representing the green part of the blanket is 3/8.
Thus, the fraction representing the white part of the blanket is 1 - (1/4) - (3/8).
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 8.
Converting the fractions to have a denominator of 8:
(1/4) * (2/2) = 2/8
(3/8)
Now we can subtract the fractions:
1 - 2/8 - 3/8 = 8/8 - 5/8
Simplifying, we get:
(8 - 5)/8 = 3/8
Therefore, the white part of the blanket is represented by the fraction 3/8.
A rock is thrown into a lake from a bridge 133 feet above the lake's surface. The rock sinks 78 feet below the lake's surface. What is the difference between the elevations?
To find the difference between the elevations, we need to subtract the depth the rock sank below the lake's surface from the height of the bridge.
The height of the bridge is 133 feet.
The depth the rock sank below the lake's surface is 78 feet.
Therefore, the difference between the elevations is 133 feet - 78 feet = 55 feet.
So, the difference between the elevations is 55 feet.
The height of the bridge is 133 feet.
The depth the rock sank below the lake's surface is 78 feet.
Therefore, the difference between the elevations is 133 feet - 78 feet = 55 feet.
So, the difference between the elevations is 55 feet.
The temperature was −4°F this morning. If the temperature dropped 7°F, what is the temperature now?
If the initial temperature was -4°F and it dropped 7°F, we need to subtract 7 from -4 to find the current temperature.
-4°F - 7°F = -11°F
So, the temperature now is -11°F.
-4°F - 7°F = -11°F
So, the temperature now is -11°F.