If the absolute value of x is 5, what is the value of x?(1 point)
Responses
-25 or 25
-25 or 25
-5 or 5
-5 or 5
-5
-5
5
5
Question 2
2.
The integer -20 would BEST represent which of these events?
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
(1 point)
Responses
I and III
I and III
I only
I only
II and III
II and III
II only
II only
Question 3
3. Which of these situations illustrates two quantities that combine to make 0?(1 point)
Responses
Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.
Marcus scores 900 points playing a video game and then loses over half of those points.
Marcus scores 900 points playing a video game and then loses over half of those points.
A business whose expenses are more than their profit.
A business whose expenses are more than their profit.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
49 answers
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
1. If the absolute value of x is 5, what is the value of x?(
-5 or 5
he integer -20 would BEST represent which of these events?
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
III. You withdraw $20 from a bank account.
Which of these situations illustrates two quantities that combine to make 0?(1 point)
Responses
Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.
Marcus scores 900 points playing a video game and then loses over half of those points.
Marcus scores 900 points playing a video game and then loses over half of those points.
A business whose expenses are more than their profit.
A business whose expenses are more than their profit.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Responses
Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.
Marcus scores 900 points playing a video game and then loses over half of those points.
Marcus scores 900 points playing a video game and then loses over half of those points.
A business whose expenses are more than their profit.
A business whose expenses are more than their profit.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
on a number line whats the distance between -67 and 14
The distance between -67 and 14 on a number line is 81.
Madison has $650 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?
Madison's account balance can be calculated as follows:
Starting balance: $650
Withdrawal: $350
Deposit: $100
Fee: -$20
Account balance = Starting balance - Withdrawal + Deposit - Fee
Account balance = $650 - $350 + $100 - $20
Account balance = $380
Therefore, Madison has $380 in her account.
Starting balance: $650
Withdrawal: $350
Deposit: $100
Fee: -$20
Account balance = Starting balance - Withdrawal + Deposit - Fee
Account balance = $650 - $350 + $100 - $20
Account balance = $380
Therefore, Madison has $380 in her account.
On Friday morning the temperature was 67°F. The temperature dropped 6°F and then rose 10°F. How much does the temperature need to rise or fall to return to the initial temperature of 67°F?(1 point)
To return to the initial temperature of 67°F, the temperature needs to rise by 6°F.
Simplify |-7| + |6|.(1 point)
Responses
-1
Responses
-1
|-7| + |6| simplifies to 7 + 6, which equals 13.
The Snake Eyes Roller Coaster climbs 125 feet from ground level then drops 60 feet before climbing another 135 feet. How far does the coaster need to drop or climb to be back at ground level? (Hint: Draw a picture or use a number line.)(1 point)
Responses
Responses
To find out how far the coaster needs to drop or climb to be back at ground level, we need to sum up the positive distances (climbs) and negative distances (drops).
Positive distance: 125 + 135 = 260
Negative distance: -60
The overall change in distance is the sum of the positive and negative distances:
260 - 60 = 200
Therefore, the coaster needs to drop or climb a distance of 200 feet to be back at ground level.
Positive distance: 125 + 135 = 260
Negative distance: -60
The overall change in distance is the sum of the positive and negative distances:
260 - 60 = 200
Therefore, the coaster needs to drop or climb a distance of 200 feet to be back at ground level.
Before it started to rain, Amnar cut 16
of the grass and Aayush cut 13
of the grass.
Which statement is true?
(1 point)
Responses
Together the boys cut three-fourths of the yard.
Together the boys cut three-fourths of the yard.
Together the boys didn’t even cut half of the yard.
Together the boys didn’t even cut half of the yard.
The boys cut almost the whole yard.
The boys cut almost the whole yard.
The boys cut exactly half of the yard.
of the grass and Aayush cut 13
of the grass.
Which statement is true?
(1 point)
Responses
Together the boys cut three-fourths of the yard.
Together the boys cut three-fourths of the yard.
Together the boys didn’t even cut half of the yard.
Together the boys didn’t even cut half of the yard.
The boys cut almost the whole yard.
The boys cut almost the whole yard.
The boys cut exactly half of the yard.
Together the boys cut almost the whole yard.
The Sweet Surprise Bake Shop sold slices of cake at the arts festival last weekend. Each cake was cut into eight slices. They sold 214
chocolate cakes, 212
red velvet cakes, 34
of a carrot cake and 312
sugar cream cakes.
Which statement tells the total number of cakes they sold and explains how the total can be calculated?
(1 point)
Responses
First, change the fractions to make denominators common, and then add: 214+224+34+324=784
. Next, simplify: 784=9
.
First, change the fractions to make denominators common, and then add: 2 and 1 fourth plus 2 and 2 fourths plus 3 fourths plus 3 and 2 fourths is equal to 7 and 8 fourths . Next, simplify: 7 and 8 fourths is equal to 9 .
First, find the least common multiple and change only the denominators: 214+214+34+314=764
. Next, simplify: 764=812
.
First, find the least common multiple and change only the denominators: 2 and 1 fourth plus 2 and 1 fourth plus 3 fourths plus 3 and 1 fourth is equal to 7 and 6 fourths . Next, simplify: 7 and 6 fourths is equal to 8 and 1 half .
First, change the numerators to 3 to make them common, and then add: 234+232+34+334=71214
. Next, simplify: 71214=767
.
First, change the numerators to 3 to make them common, and then add: 2 and 3 fourths plus 2 and 3 halves plus 3 fourths plus 3 and 3 fourths is equal to 7 and 12 over 14. Next, simplify: 7 and 12 over 14 is equal to 7 and 6 sevenths .
First, add across the numerators and denominators: 14+12+34+12=612
. Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7612=712
.
chocolate cakes, 212
red velvet cakes, 34
of a carrot cake and 312
sugar cream cakes.
Which statement tells the total number of cakes they sold and explains how the total can be calculated?
(1 point)
Responses
First, change the fractions to make denominators common, and then add: 214+224+34+324=784
. Next, simplify: 784=9
.
First, change the fractions to make denominators common, and then add: 2 and 1 fourth plus 2 and 2 fourths plus 3 fourths plus 3 and 2 fourths is equal to 7 and 8 fourths . Next, simplify: 7 and 8 fourths is equal to 9 .
First, find the least common multiple and change only the denominators: 214+214+34+314=764
. Next, simplify: 764=812
.
First, find the least common multiple and change only the denominators: 2 and 1 fourth plus 2 and 1 fourth plus 3 fourths plus 3 and 1 fourth is equal to 7 and 6 fourths . Next, simplify: 7 and 6 fourths is equal to 8 and 1 half .
First, change the numerators to 3 to make them common, and then add: 234+232+34+334=71214
. Next, simplify: 71214=767
.
First, change the numerators to 3 to make them common, and then add: 2 and 3 fourths plus 2 and 3 halves plus 3 fourths plus 3 and 3 fourths is equal to 7 and 12 over 14. Next, simplify: 7 and 12 over 14 is equal to 7 and 6 sevenths .
First, add across the numerators and denominators: 14+12+34+12=612
. Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7612=712
.
First, add across the numerators and denominators: 214 + 212 + 34 + 312 = 772. Next, add whole numbers: 0 + 0 + 0 + 0 = 0. Then combine, 772 = 772.
The total number of cakes they sold is 772, and this can be calculated by adding up the slices of each type of cake.
The total number of cakes they sold is 772, and this can be calculated by adding up the slices of each type of cake.
. Mrs. Taylor is crocheting a blanket for her daughter. She made 38
of the blanket green, 14
of the blanket blue, and the rest of the blanket was yellow. Which fraction represents the yellow part of the blanket?(1 point)
Responses
of the blanket green, 14
of the blanket blue, and the rest of the blanket was yellow. Which fraction represents the yellow part of the blanket?(1 point)
Responses
To find the fraction that represents the yellow part of the blanket, we need to subtract the parts that are green and blue from the total.
Total parts of the blanket = Green parts + Blue parts + Yellow parts
Yellow parts = Total parts - Green parts - Blue parts
Yellow parts = 1 - (38 + 14)
Yellow parts = 1 - 52
Yellow parts = 1/52
Therefore, the fraction that represents the yellow part of the blanket is 1/52.
Total parts of the blanket = Green parts + Blue parts + Yellow parts
Yellow parts = Total parts - Green parts - Blue parts
Yellow parts = 1 - (38 + 14)
Yellow parts = 1 - 52
Yellow parts = 1/52
Therefore, the fraction that represents the yellow part of the blanket is 1/52.
For Aliyah’s graduation party, her mom made her a chocolate cake. Her siblings ate 14
of the cake, and her friends ate 23
of the cake. How much of the cake was left?(
of the cake, and her friends ate 23
of the cake. How much of the cake was left?(
To determine how much of the cake was left, we need to subtract the portions eaten by Aliyah's siblings and friends from the total cake.
Total cake - Portion eaten by Aliyah's siblings - Portion eaten by Aliyah's friends
Let's assume the total cake was 1 whole.
Cake left = 1 - (14 + 23)
Cake left = 1 - 37
Cake left = -36
Since the result is a negative number, it implies that more cake was eaten than was initially available. It suggests that there is no cake left.
Total cake - Portion eaten by Aliyah's siblings - Portion eaten by Aliyah's friends
Let's assume the total cake was 1 whole.
Cake left = 1 - (14 + 23)
Cake left = 1 - 37
Cake left = -36
Since the result is a negative number, it implies that more cake was eaten than was initially available. It suggests that there is no cake left.
−84−(−45)=
To simplify the expression -84 - (-45), we can rewrite it as -84 + 45.
Now we can add the two numbers:
-84 + 45 = -39
Therefore, -84 - (-45) is equal to -39.
Now we can add the two numbers:
-84 + 45 = -39
Therefore, -84 - (-45) is equal to -39.
. In the Manchester Building, the elevation of the basement floor is -16 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof? (Hint: Draw a picture or a number line.)(1 point)
Responses
Responses
To find the distance from the basement floor to the roof, we need to subtract the elevation of the basement floor from the elevation of the roof.
Distance = Roof elevation - Basement elevation
Distance = 37 ft - (-16 ft)
Distance = 37 ft + 16 ft
Distance = 53 ft
Therefore, the distance from the basement floor to the roof is 53 feet.
Distance = Roof elevation - Basement elevation
Distance = 37 ft - (-16 ft)
Distance = 37 ft + 16 ft
Distance = 53 ft
Therefore, the distance from the basement floor to the roof is 53 feet.
−8.5−(−3.7)=
(1 point)
Responses
-4.8
-4.8
-12.2
-12.2
4.8
4.8
12.2
12.2
Question 4
16.
25−(−80)=
(1 point)
Responses
-55
-55
115
115
105
105
565
565
Question 5
17.
−18.5−17.5
(1 point)
Responses
36
36
-1
-1
-36
-36
1
(1 point)
Responses
-4.8
-4.8
-12.2
-12.2
4.8
4.8
12.2
12.2
Question 4
16.
25−(−80)=
(1 point)
Responses
-55
-55
115
115
105
105
565
565
Question 5
17.
−18.5−17.5
(1 point)
Responses
36
36
-1
-1
-36
-36
1
-4.8
-55
-36
-55
-36
What is the change in temperature between −20°F and 30°F?(1 point)
Responses
Responses
To find the change in temperature between -20°F and 30°F, we need to find the difference between the two temperatures.
Change in temperature = Final temperature - Initial temperature
Change in temperature = 30°F - (-20°F)
Change in temperature = 30°F + 20°F
Change in temperature = 50°F
Therefore, the change in temperature between -20°F and 30°F is 50°F.
Change in temperature = Final temperature - Initial temperature
Change in temperature = 30°F - (-20°F)
Change in temperature = 30°F + 20°F
Change in temperature = 50°F
Therefore, the change in temperature between -20°F and 30°F is 50°F.
The temperature was −5°F this morning. If the temperature dropped 8°F, what is the temperature now?(1 point)
Responses
Responses
To find the temperature now after a drop of 8°F from -5°F, we need to subtract 8°F from -5°F.
Temperature now = Initial temperature - Temperature change
Temperature now = -5°F - 8°F
Temperature now = -13°F
Therefore, the temperature now is -13°F.
Temperature now = Initial temperature - Temperature change
Temperature now = -5°F - 8°F
Temperature now = -13°F
Therefore, the temperature now is -13°F.
A Navy submarine is 650 feet below sea level. If it ascends 200 feet, which integer represents its new position?(1 point)
Responses
Responses
To find the new position of the Navy submarine after ascending 200 feet from 650 feet below sea level, we need to add 200 to -650.
New position = Initial position + Distance ascended
New position = -650 ft + 200 ft
New position = -450 ft
Therefore, the integer that represents the submarine's new position is -450.
New position = Initial position + Distance ascended
New position = -650 ft + 200 ft
New position = -450 ft
Therefore, the integer that represents the submarine's new position is -450.
John threw a rock into a lake from a bridge 124 feet above the river's surface. The rock sinks 81 feet below the river’s surface. What is the distance between the elevations? (Hint: Draw a picture or use a number line.)(1 point)
Responses
Responses
To find the distance between the elevations, we need to subtract the distance the rock sank below the river's surface from the height of the bridge.
Distance between elevations = Bridge height - Distance rock sank
Distance between elevations = 124 ft - 81 ft
Distance between elevations = 43 ft
Therefore, the distance between the elevations is 43 feet.
Distance between elevations = Bridge height - Distance rock sank
Distance between elevations = 124 ft - 81 ft
Distance between elevations = 43 ft
Therefore, the distance between the elevations is 43 feet.
Find the sum of -12 and -36.(1 point)
Responses
-48
-48
-24
-24
48
48
24
24
Question 2
23.
17 + (−32)=
(1 point)
Responses
-15
-15
49
49
15
15
-49
Responses
-48
-48
-24
-24
48
48
24
24
Question 2
23.
17 + (−32)=
(1 point)
Responses
-15
-15
49
49
15
15
-49
The sum of -12 and -36 is -48.
The sum of 17 and -32 is -15.
The sum of 17 and -32 is -15.
−14.15+(−3.78)−(−5.78)−3.4
To simplify the expression -14.15 + (-3.78) - (-5.78) - 3.4, we can combine like terms:
-14.15 + (-3.78) - (-5.78) - 3.4 = -14.15 - 3.78 + 5.78 - 3.4
Now, we can perform the subtraction and addition:
-14.15 - 3.78 + 5.78 - 3.4 = -17.93 + 5.78 - 3.4
Next, we can perform the remaining subtraction and addition:
-17.93 + 5.78 - 3.4 = -12.15
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 simplifies to -12.15.
-14.15 + (-3.78) - (-5.78) - 3.4 = -14.15 - 3.78 + 5.78 - 3.4
Now, we can perform the subtraction and addition:
-14.15 - 3.78 + 5.78 - 3.4 = -17.93 + 5.78 - 3.4
Next, we can perform the remaining subtraction and addition:
-17.93 + 5.78 - 3.4 = -12.15
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 simplifies to -12.15.
what is −14.15+(−3.78)−(−5.78)−3.
To simplify the expression -14.15 + (-3.78) - (-5.78) - 3, we can combine like terms:
-14.15 + (-3.78) - (-5.78) - 3 = -14.15 - 3.78 + 5.78 - 3
Now, we can perform the subtraction and addition:
-14.15 - 3.78 + 5.78 - 3 = -17.93 + 5.78 - 3
Next, we can perform the remaining subtraction and addition:
-17.93 + 5.78 - 3 = -15.15
Therefore, -14.15 + (-3.78) - (-5.78) - 3 simplifies to -15.15.
-14.15 + (-3.78) - (-5.78) - 3 = -14.15 - 3.78 + 5.78 - 3
Now, we can perform the subtraction and addition:
-14.15 - 3.78 + 5.78 - 3 = -17.93 + 5.78 - 3
Next, we can perform the remaining subtraction and addition:
-17.93 + 5.78 - 3 = -15.15
Therefore, -14.15 + (-3.78) - (-5.78) - 3 simplifies to -15.15.
8÷((2+6)×2)−1=
Hint: Use the order of operations (PEMDAS).
Hint: Use the order of operations (PEMDAS).
To simplify the expression 8 ÷ ((2 + 6) × 2) - 1, we need to follow the order of operations (PEMDAS).
First, we need to simplify the inner parentheses:
2 + 6 = 8
Now, we can simplify the expression further:
((2 + 6) × 2) = 8 × 2 = 16
Now, we can substitute the simplified expression back into the original expression:
8 ÷ ((2 + 6) × 2) - 1 = 8 ÷ 16 - 1
Next, we perform the division:
8 ÷ 16 = 0.5
Now, we can substitute the division result back into the expression:
0.5 - 1 = -0.5
Therefore, 8 ÷ ((2 + 6) × 2) - 1 simplifies to -0.5.
First, we need to simplify the inner parentheses:
2 + 6 = 8
Now, we can simplify the expression further:
((2 + 6) × 2) = 8 × 2 = 16
Now, we can substitute the simplified expression back into the original expression:
8 ÷ ((2 + 6) × 2) - 1 = 8 ÷ 16 - 1
Next, we perform the division:
8 ÷ 16 = 0.5
Now, we can substitute the division result back into the expression:
0.5 - 1 = -0.5
Therefore, 8 ÷ ((2 + 6) × 2) - 1 simplifies to -0.5.
48÷((2+6)×2)−1=
Hint: Use the order of operations (PEMDAS).
Hint: Use the order of operations (PEMDAS).
To simplify the expression 48 ÷ ((2 + 6) × 2) - 1, we need to follow the order of operations (PEMDAS).
First, we need to simplify the inner parentheses:
2 + 6 = 8
Now, we can simplify the expression further:
((2 + 6) × 2) = 8 × 2 = 16
Now, we can substitute the simplified expression back into the original expression:
48 ÷ ((2 + 6) × 2) - 1 = 48 ÷ 16 - 1
Next, we perform the division:
48 ÷ 16 = 3
Now, we can substitute the division result back into the expression:
3 - 1 = 2
Therefore, 48 ÷ ((2 + 6) × 2) - 1 simplifies to 2.
First, we need to simplify the inner parentheses:
2 + 6 = 8
Now, we can simplify the expression further:
((2 + 6) × 2) = 8 × 2 = 16
Now, we can substitute the simplified expression back into the original expression:
48 ÷ ((2 + 6) × 2) - 1 = 48 ÷ 16 - 1
Next, we perform the division:
48 ÷ 16 = 3
Now, we can substitute the division result back into the expression:
3 - 1 = 2
Therefore, 48 ÷ ((2 + 6) × 2) - 1 simplifies to 2.
1 answer