To find the temperature now, you need to subtract 7°F from −4°F.
-4°F - 7°F = -11°F
Therefore, the temperature now is -11°F.
The temperature was −4°F this morning. If the temperature dropped 7°F, what is the temperature now?
43 answers
The elevation of the basement floor in a building is -14 ft. The elevation of the roof is 36 feet. What is the distance from the basement floor to the roof?
To find the distance from the basement floor to the roof, you need to find the difference in elevation between the two.
36 ft - (-14 ft) = 36 ft + 14 ft = 50 ft
Therefore, the distance from the basement floor to the roof is 50 ft.
36 ft - (-14 ft) = 36 ft + 14 ft = 50 ft
Therefore, the distance from the basement floor to the roof is 50 ft.
16 + (-27) =
To add a positive number and a negative number, you subtract the absolute values and keep the sign of the number with the greater absolute value.
16 + (-27) = 16 - 27 = -11
Therefore, 16 + (-27) equals -11.
16 + (-27) = 16 - 27 = -11
Therefore, 16 + (-27) equals -11.
I. You remove 10 lbs of apples from a pile.
II. You fill a tub with 10 gallons of water.
III. You withdraw $10 from a bank account.
The integer -10 would BEST represent which of these events?
II. You fill a tub with 10 gallons of water.
III. You withdraw $10 from a bank account.
The integer -10 would BEST represent which of these events?
The integer -10 would best represent the event of withdrawing $10 from a bank account.
Reasoning:
- When we remove 10 lbs of apples from a pile, we are subtracting 10 from the total weight, but since it is related to weight, it would more accurately be represented by -10 lbs or simply 10 lbs with a negative sign.
- When we fill a tub with 10 gallons of water, we are adding water, so it would not be represented by a negative integer.
- However, when we withdraw $10 from a bank account, we are subtracting 10 from the balance, and since it involves money or a numerical value, it is better represented by the integer -10.
Therefore, the event of withdrawing $10 from a bank account would be BEST represented by the integer -10.
Reasoning:
- When we remove 10 lbs of apples from a pile, we are subtracting 10 from the total weight, but since it is related to weight, it would more accurately be represented by -10 lbs or simply 10 lbs with a negative sign.
- When we fill a tub with 10 gallons of water, we are adding water, so it would not be represented by a negative integer.
- However, when we withdraw $10 from a bank account, we are subtracting 10 from the balance, and since it involves money or a numerical value, it is better represented by the integer -10.
Therefore, the event of withdrawing $10 from a bank account would be BEST represented by the integer -10.
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 sinks below the lake's surface from the height of the bridge.
Difference = Height of the bridge - Depth below the lake's surface
Difference = 133 ft - 78 ft
Difference = 55 ft
Therefore, the difference between the elevations is 55 feet.
Difference = Height of the bridge - Depth below the lake's surface
Difference = 133 ft - 78 ft
Difference = 55 ft
Therefore, the difference between the elevations is 55 feet.
Determine which of these illustrates two quantities that combine to make 0.
When two quantities combine to make 0, they are called additive inverses of each other.
Out of the given options, "You withdraw $10 from a bank account and deposit $10 into a piggy bank" illustrates two quantities that combine to make 0.
When you withdraw $10 from a bank account, you decrease the balance by $10.
When you deposit $10 into a piggy bank, you increase the savings by $10.
So, the -10 from the bank account withdrawal and the +10 from the piggy bank deposit cancel each other out and combine to make 0.
Out of the given options, "You withdraw $10 from a bank account and deposit $10 into a piggy bank" illustrates two quantities that combine to make 0.
When you withdraw $10 from a bank account, you decrease the balance by $10.
When you deposit $10 into a piggy bank, you increase the savings by $10.
So, the -10 from the bank account withdrawal and the +10 from the piggy bank deposit cancel each other out and combine to make 0.
Determine which of these illustrates two quantities that combine to make 0.
Responses
A Latanya lost ten pounds and then gained six pounds.Latanya lost ten pounds and then gained six pounds.
B A business's profit if its income is more than its expenses.A business's profit if its income is more than its expenses.
C It is twenty degrees below zero and then the temperature rises ten degrees.It is twenty degrees below zero and then the temperature rises ten degrees.
D Kyle scores 150 points on a video game and then loses half of those points.Kyle scores 150 points on a video game and then loses half of those points.
E Marty gets ten dollars for his allowance and then spends ten dollars at the movies.Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
Responses
A Latanya lost ten pounds and then gained six pounds.Latanya lost ten pounds and then gained six pounds.
B A business's profit if its income is more than its expenses.A business's profit if its income is more than its expenses.
C It is twenty degrees below zero and then the temperature rises ten degrees.It is twenty degrees below zero and then the temperature rises ten degrees.
D Kyle scores 150 points on a video game and then loses half of those points.Kyle scores 150 points on a video game and then loses half of those points.
E Marty gets ten dollars for his allowance and then spends ten dollars at the movies.Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
The options that illustrate two quantities that combine to make 0 are:
A) Latanya lost ten pounds and then gained six pounds.
D) Kyle scores 150 points on a video game and then loses half of those points.
E) Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
In option A, Latanya initially lost ten pounds, and then gained six pounds. The "loss" and "gain" cancel each other out, resulting in a net change of 0 pounds.
In option D, Kyle scores 150 points on a video game, but then loses half of those points (-75 points). Adding the initial gain of 150 points with the subsequent loss of 75 points results in a net gain of 0 points.
In option E, Marty receives ten dollars for his allowance and then spends ten dollars at the movies. The receipt of ten dollars and the expenditure of ten dollars offset each other, resulting in no net change in his allowance.
All these options show two quantities that combine to make 0.
A) Latanya lost ten pounds and then gained six pounds.
D) Kyle scores 150 points on a video game and then loses half of those points.
E) Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
In option A, Latanya initially lost ten pounds, and then gained six pounds. The "loss" and "gain" cancel each other out, resulting in a net change of 0 pounds.
In option D, Kyle scores 150 points on a video game, but then loses half of those points (-75 points). Adding the initial gain of 150 points with the subsequent loss of 75 points results in a net gain of 0 points.
In option E, Marty receives ten dollars for his allowance and then spends ten dollars at the movies. The receipt of ten dollars and the expenditure of ten dollars offset each other, resulting in no net change in his allowance.
All these options show two quantities that combine to make 0.
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?
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?
To find the fraction that represents the white part of the blanket, we need to subtract the fractions representing the pink and green parts from 1 (since the entire blanket is divided into three parts: pink, green, and white).
Fraction representing the white part = 1 - (fraction representing the pink part) - (fraction representing the green part)
Fraction representing the white part = 1 - 1/4 - 3/8
Fraction representing the white part = 8/8 - 2/8 - 3/8
Fraction representing the white part = (8 - 2 - 3)/8
Fraction representing the white part = 3/8
Therefore, the fraction 3/8 represents the white part of the blanket.
Fraction representing the white part = 1 - (fraction representing the pink part) - (fraction representing the green part)
Fraction representing the white part = 1 - 1/4 - 3/8
Fraction representing the white part = 8/8 - 2/8 - 3/8
Fraction representing the white part = (8 - 2 - 3)/8
Fraction representing the white part = 3/8
Therefore, the fraction 3/8 represents the white part of the blanket.
What is the difference in temperature between −10°F and 30°F?
To find the difference in temperature between -10°F and 30°F, you need to subtract the lower temperature from the higher temperature.
30°F - (-10°F) = 30°F + 10°F = 40°F
Therefore, the difference in temperature between -10°F and 30°F is 40°F.
30°F - (-10°F) = 30°F + 10°F = 40°F
Therefore, the difference in temperature between -10°F and 30°F is 40°F.
On a number line, what is the distance between -57 and 13?
To find the distance between -57 and 13 on a number line, you subtract the smaller value from the larger value and take the absolute value of the result.
Distance = |13 - (-57)| = |13 + 57| = |70| = 70
Therefore, the distance between -57 and 13 on a number line is 70 units.
Distance = |13 - (-57)| = |13 + 57| = |70| = 70
Therefore, the distance between -57 and 13 on a number line is 70 units.
25 − (−81) =
To subtract a negative number, you can rewrite it as adding the opposite. In this case:
25 - (-81) = 25 + 81
Calculating the sum gives us:
25 + 81 = 106
Therefore, 25 − (−81) is equal to 106.
25 - (-81) = 25 + 81
Calculating the sum gives us:
25 + 81 = 106
Therefore, 25 − (−81) is equal to 106.
A submarine is 700 feet below sea level. If it ascends 300 feet, which integer represents its new position?
To find the submarine's new position, we need to add the ascent of 300 feet to its current depth of 700 feet below sea level.
Current position: -700 feet
Ascent: +300 feet
New position: -700 + 300 = -400 feet
Therefore, the integer that represents the submarine's new position is -400.
Current position: -700 feet
Ascent: +300 feet
New position: -700 + 300 = -400 feet
Therefore, the integer that represents the submarine's new position is -400.
Over the weekend, Mrs. Kingston sold slices of cake at a bake sale fundraiser for her son's soccer team. Each cake was cut into eight slices. On the first day of the sale, she sold 2 1/4
chocolate cakes, and 2 3/8
caramel cakes. On the second day, she sold 3/4
of a chocolate cake and 3 1/2
caramel cakes.
Which statement tells the total number of cakes she sold and explains how the total can be calculated?
chocolate cakes, and 2 3/8
caramel cakes. On the second day, she sold 3/4
of a chocolate cake and 3 1/2
caramel cakes.
Which statement tells the total number of cakes she sold and explains how the total can be calculated?
The total number of cakes Mrs. Kingston sold can be calculated by adding the number of chocolate cakes and caramel cakes she sold separately.
On the first day, she sold 2 1/4 chocolate cakes and 2 3/8 caramel cakes. This can be represented as (2 1/4) + (2 3/8) = (9/4) + (19/8) = (18/8) + (19/8) = 37/8 = 4 5/8 cakes.
On the second day, she sold 3/4 of a chocolate cake and 3 1/2 caramel cakes. This can be represented as (3/4) + (7/2) = (3/4) + (14/4) = 17/4 = 4 1/4 cakes.
To find the total number of cakes she sold, we add the number of chocolate cakes and caramel cakes from each day: 4 5/8 + 4 1/4 = (37/8) + (17/4) = (37/8) + (34/8) = 71/8 = 8 7/8 cakes.
Therefore, Mrs. Kingston sold a total of 8 7/8 cakes, which can be calculated by adding the number of chocolate and caramel cakes separately for each day.
On the first day, she sold 2 1/4 chocolate cakes and 2 3/8 caramel cakes. This can be represented as (2 1/4) + (2 3/8) = (9/4) + (19/8) = (18/8) + (19/8) = 37/8 = 4 5/8 cakes.
On the second day, she sold 3/4 of a chocolate cake and 3 1/2 caramel cakes. This can be represented as (3/4) + (7/2) = (3/4) + (14/4) = 17/4 = 4 1/4 cakes.
To find the total number of cakes she sold, we add the number of chocolate cakes and caramel cakes from each day: 4 5/8 + 4 1/4 = (37/8) + (17/4) = (37/8) + (34/8) = 71/8 = 8 7/8 cakes.
Therefore, Mrs. Kingston sold a total of 8 7/8 cakes, which can be calculated by adding the number of chocolate and caramel cakes separately for each day.
−18.5 − 17.5 =
To subtract 17.5 from -18.5, you simply subtract the absolute values and keep the sign of the number with the greater absolute value.
|-18.5| - |17.5| = 18.5 - 17.5 = 1
Since -18.5 has the greater absolute value, the result will be negative.
Therefore, -18.5 - 17.5 equals -1.
|-18.5| - |17.5| = 18.5 - 17.5 = 1
Since -18.5 has the greater absolute value, the result will be negative.
Therefore, -18.5 - 17.5 equals -1.
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 out how much cake was left after the party, we need to subtract the amount of cake eaten from the original whole cake.
We have two fractions representing the portions of the cake that were eaten:
- Guests ate 2/3 of the cake
- Family ate 1/4 of the cake
To subtract fractions, we need a common denominator. The least common multiple of 3 and 4 is 12.
Converting the fractions to have the common denominator of 12:
- Guests ate (2/3) * (4/4) = 8/12 of the cake
- Family ate (1/4) * (3/3) = 3/12 of the cake
Now we can subtract the fractions representing the eaten portions from 1 (the whole cake):
1 - 8/12 - 3/12 = 1 - (8 + 3) / 12 = 1 - 11/12
Simplifying the subtraction:
1 - 11/12 = 12/12 - 11/12 = 1/12
Therefore, after the party, there was 1/12 of the cake left.
We have two fractions representing the portions of the cake that were eaten:
- Guests ate 2/3 of the cake
- Family ate 1/4 of the cake
To subtract fractions, we need a common denominator. The least common multiple of 3 and 4 is 12.
Converting the fractions to have the common denominator of 12:
- Guests ate (2/3) * (4/4) = 8/12 of the cake
- Family ate (1/4) * (3/3) = 3/12 of the cake
Now we can subtract the fractions representing the eaten portions from 1 (the whole cake):
1 - 8/12 - 3/12 = 1 - (8 + 3) / 12 = 1 - 11/12
Simplifying the subtraction:
1 - 11/12 = 12/12 - 11/12 = 1/12
Therefore, after the party, there was 1/12 of the cake left.
Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1?
To simplify the expression 48 ÷ ((2 + 6) × 2) - 1, we need to follow the order of operations, which is parentheses, then multiplication/division (from left to right), and finally addition/subtraction (from left to right).
First, we start by evaluating the expression inside the parentheses:
2 + 6 = 8
Now we can rewrite the expression:
48 ÷ (8 × 2) - 1
Next, we simplify the multiplication:
8 × 2 = 16
Now we have:
48 ÷ 16 - 1
We proceed with the division:
48 ÷ 16 = 3
Finally, we evaluate the subtraction:
3 - 1 = 2
Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is 2.
First, we start by evaluating the expression inside the parentheses:
2 + 6 = 8
Now we can rewrite the expression:
48 ÷ (8 × 2) - 1
Next, we simplify the multiplication:
8 × 2 = 16
Now we have:
48 ÷ 16 - 1
We proceed with the division:
48 ÷ 16 = 3
Finally, we evaluate the subtraction:
3 - 1 = 2
Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is 2.
−8.5 − (−3.6) =
To subtract a negative number, you can rewrite it as adding the opposite. In this case:
-8.5 - (-3.6) = -8.5 + 3.6
Calculating the sum gives us:
-8.5 + 3.6 = -4.9
Therefore, -8.5 - (-3.6) is equal to -4.9.
-8.5 - (-3.6) = -8.5 + 3.6
Calculating the sum gives us:
-8.5 + 3.6 = -4.9
Therefore, -8.5 - (-3.6) is equal to -4.9.
If the absolute value of x is 4, what is the value of x?
If the absolute value of x is 4, it means that x could be either positive 4 or negative 4.
Therefore, the value of x can either be 4 or -4.
Therefore, the value of x can either be 4 or -4.
A roller coaster climbs 110 feet from ground level then drops 65 feet before climbing another 135 feet. How far does the coaster need to drop or climb to be back at ground level.
To determine how far the roller coaster needs to drop or climb to be back at ground level, we need to subtract the total amount climbed from the total amount dropped.
Total distance climbed: 110 feet + 135 feet = 245 feet
Total distance dropped: 65 feet
To find the distance needed to be back at ground level, we subtract the distance dropped from the distance climbed:
245 feet - 65 feet = 180 feet
Therefore, the roller coaster needs to climb or drop 180 feet to be back at ground level.
Total distance climbed: 110 feet + 135 feet = 245 feet
Total distance dropped: 65 feet
To find the distance needed to be back at ground level, we subtract the distance dropped from the distance climbed:
245 feet - 65 feet = 180 feet
Therefore, the roller coaster needs to climb or drop 180 feet to be back at ground level.
-14.25 + -3.78 - (-5.78) - 3.4
To simplify the expression -14.25 + -3.78 - (-5.78) - 3.4, we can start by performing the operations inside parentheses and applying the rules of addition and subtraction:
-14.25 + -3.78 + 5.78 - 3.4
Next, we can combine the like terms:
-14.25 + -3.78 + 5.78 - 3.4 = (-14.25 + -3.78 + 5.78) - 3.4 = -12.25 - 3.4
Finally, we can subtract:
-12.25 - 3.4 = -15.65
Therefore, -14.25 + -3.78 - (-5.78) - 3.4 simplifies to -15.65.
-14.25 + -3.78 + 5.78 - 3.4
Next, we can combine the like terms:
-14.25 + -3.78 + 5.78 - 3.4 = (-14.25 + -3.78 + 5.78) - 3.4 = -12.25 - 3.4
Finally, we can subtract:
-12.25 - 3.4 = -15.65
Therefore, -14.25 + -3.78 - (-5.78) - 3.4 simplifies to -15.65.
-84 - (-45) =
To subtract a negative number, you can rewrite it as adding the opposite. In this case:
-84 - (-45) = -84 + 45
Calculating the sum gives us:
-84 + 45 = -39
Therefore, -84 - (-45) is equal to -39.
-84 - (-45) = -84 + 45
Calculating the sum gives us:
-84 + 45 = -39
Therefore, -84 - (-45) is equal to -39.
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?
To find out how much Mary has in her account after the withdrawal, deposit, and fee, we need to perform the operations in order.
Starting with $500 in her account:
$500 - $350 (withdrawal) = $150 remaining
$150 + $100 (deposit) = $250 remaining
$250 - $20 (fee) = $230 remaining
Therefore, Mary has $230 in her account after the withdrawal, deposit, and fee.
Starting with $500 in her account:
$500 - $350 (withdrawal) = $150 remaining
$150 + $100 (deposit) = $250 remaining
$250 - $20 (fee) = $230 remaining
Therefore, Mary has $230 in her account after the withdrawal, deposit, and fee.