To find the value of x, we can cross multiply the fractions:
9 * x = 2 * 5
Simplifying the equation:
9x = 10
Now, divide both sides of the equation by 9:
x = 10/9
So, the value of x is 10 over 9.
Answer: b. 10 over 9
What is the value of x?
9 over 5 equals 2 over x
Select one:
a.
9 over 10
b.
10 over 9
c.
4 over 5
d.
5 over 4
29 answers
Using the following chart, determine the number of heart beats that occur for an animal in 15 seconds.
Animal Beats per Minute
Cow 75
Horse 35
Sheep 80
Pig 78
Dog 110
Cat 120
Chicken 300
Round your answer to the nearest whole number.
A cat has Answer
heart beats in 15 seconds.
Animal Beats per Minute
Cow 75
Horse 35
Sheep 80
Pig 78
Dog 110
Cat 120
Chicken 300
Round your answer to the nearest whole number.
A cat has Answer
heart beats in 15 seconds.
To determine the number of heart beats a cat has in 15 seconds, we can use the beats per minute measurement provided for the cat, which is 120.
First, we need to find the beats per second by dividing the beats per minute by 60 (since there are 60 seconds in a minute):
120 beats per minute / 60 seconds = 2 beats per second
Next, we can multiply the beats per second by the number of seconds we are interested in, which is 15:
2 beats per second * 15 seconds = 30 beats
Therefore, a cat has approximately 30 heart beats in 15 seconds.
Answer: 30
First, we need to find the beats per second by dividing the beats per minute by 60 (since there are 60 seconds in a minute):
120 beats per minute / 60 seconds = 2 beats per second
Next, we can multiply the beats per second by the number of seconds we are interested in, which is 15:
2 beats per second * 15 seconds = 30 beats
Therefore, a cat has approximately 30 heart beats in 15 seconds.
Answer: 30
If a 4-pack of Ziploc sandwich bags costs $23.99 at Costco, what is cost of one box of sandwich bags?
Picture taken by Tanya Cole
The cost of one box of sandwich bags is $Answer
.
Record your answer to the nearest hundredth, or because this is dealing with money, dollars.cents
Examples:
- two dollars and 15 cents would be recorded as 2.15
- 35 cents would be recorded as 0.35
Picture taken by Tanya Cole
The cost of one box of sandwich bags is $Answer
.
Record your answer to the nearest hundredth, or because this is dealing with money, dollars.cents
Examples:
- two dollars and 15 cents would be recorded as 2.15
- 35 cents would be recorded as 0.35
To find the cost of one box of sandwich bags, we can divide the total cost of the 4-pack by 4.
$23.99 / 4 = $5.9975
Rounding the answer to the nearest hundredth or dollars.cents gives us:
$5.99
Therefore, the cost of one box of sandwich bags is $5.99.
Answer: 5.99
$23.99 / 4 = $5.9975
Rounding the answer to the nearest hundredth or dollars.cents gives us:
$5.99
Therefore, the cost of one box of sandwich bags is $5.99.
Answer: 5.99
Used car companies have buyers who go to monthly auctions to purchase good quality used vehicles. An Edmonton buyer purchased a fleet of 11 vehicles from a local auction for a total cost of $55599.00. A Calgary buyer purchased a fleet of 6 vehicles of equal quality for a total cost of $30300.00. Which buyer got the better deal?
Select one:
a.
The Calgary buyer, by $4.45 per vehicle.
b.
The Edmonton buyer, by $4.45 per vehicle.
c.
The two deals cannot be compared.
d.
The two deals are equivalent.
Select one:
a.
The Calgary buyer, by $4.45 per vehicle.
b.
The Edmonton buyer, by $4.45 per vehicle.
c.
The two deals cannot be compared.
d.
The two deals are equivalent.
To determine which buyer got the better deal, we need to compare the cost per vehicle for each buyer.
For the Edmonton buyer, the cost per vehicle is calculated by dividing the total cost of $55,599 by the number of vehicles purchased, which is 11:
$55,599 / 11 = $5,054.45 per vehicle
For the Calgary buyer, the cost per vehicle is calculated by dividing the total cost of $30,300 by the number of vehicles purchased, which is 6:
$30,300 / 6 = $5,050 per vehicle
Comparing the cost per vehicle, we can see that the Calgary buyer got a better deal by $4.45 per vehicle.
Answer: a. The Calgary buyer, by $4.45 per vehicle.
For the Edmonton buyer, the cost per vehicle is calculated by dividing the total cost of $55,599 by the number of vehicles purchased, which is 11:
$55,599 / 11 = $5,054.45 per vehicle
For the Calgary buyer, the cost per vehicle is calculated by dividing the total cost of $30,300 by the number of vehicles purchased, which is 6:
$30,300 / 6 = $5,050 per vehicle
Comparing the cost per vehicle, we can see that the Calgary buyer got a better deal by $4.45 per vehicle.
Answer: a. The Calgary buyer, by $4.45 per vehicle.
Kevin's car is almost out of gas. He only has a $10 bill in his wallet to buy gas. According to the Gas Buddy app on his phone, these are a few local prices for gas in cents/L.
Built by Tanya Cole
If Kevin only has enough gas left in his car to make it to the Petro-Canada gas station, how many litres of gas can he purchase for $10?
Kevin can purchace Answer
L of gas for $10.
Round your answer to the nearest tenth.
Built by Tanya Cole
If Kevin only has enough gas left in his car to make it to the Petro-Canada gas station, how many litres of gas can he purchase for $10?
Kevin can purchace Answer
L of gas for $10.
Round your answer to the nearest tenth.
To determine how many liters of gas Kevin can purchase for $10, we need to divide the amount of money by the price of gas in cents per liter.
However, the given options do not include the prices of gas at the Petro-Canada gas station. Therefore, we cannot accurately determine the exact number of liters of gas Kevin can purchase for $10 based on the information provided.
Please provide the specific prices for gas at the Petro-Canada gas station in cents/L in order for us to calculate the answer accurately.
However, the given options do not include the prices of gas at the Petro-Canada gas station. Therefore, we cannot accurately determine the exact number of liters of gas Kevin can purchase for $10 based on the information provided.
Please provide the specific prices for gas at the Petro-Canada gas station in cents/L in order for us to calculate the answer accurately.
Reuben bought skis from an online sports store. The skis were shipped to his home in Stirling, Alberta from Provo, Utah. The list price of the skis was $682.00 US. On the day Reuben ordered the skis, the currency exchange rate was $1 US = $1.04 CAD. How much did Reuben pay for the skis in Canadian dollars?
Reuben paid $Answer
CAD for the skis.
Reuben paid $Answer
CAD for the skis.
To calculate the amount Reuben paid for the skis in Canadian dollars, we need to multiply the list price of the skis in US dollars by the currency exchange rate.
List price of skis: $682.00 US
Currency exchange rate: $1 US = $1.04 CAD
Amount paid in Canadian dollars = List price in US dollars * Currency exchange rate
Amount paid in Canadian dollars = $682.00 * $1.04
Amount paid in Canadian dollars = $709.28 CAD
Therefore, Reuben paid $709.28 CAD for the skis.
Answer: $709.28
List price of skis: $682.00 US
Currency exchange rate: $1 US = $1.04 CAD
Amount paid in Canadian dollars = List price in US dollars * Currency exchange rate
Amount paid in Canadian dollars = $682.00 * $1.04
Amount paid in Canadian dollars = $709.28 CAD
Therefore, Reuben paid $709.28 CAD for the skis.
Answer: $709.28
Jason went home from work because he was feeling sick. At 12 noon he took his temperature and it was still about normal at 98.6°F. By the time his wife came home at 3 pm, his temperature was 102.5° F. In that time, Jason’s body temperature had increased at an average rate of
Select one:
a.
- 3.9° F/h
b.
- 1.3° F/h
c.
3.9° F/h
d.
1.3° F/h
Select one:
a.
- 3.9° F/h
b.
- 1.3° F/h
c.
3.9° F/h
d.
1.3° F/h
To find the average rate of increase in Jason's body temperature, we need to calculate the change in temperature divided by the time taken.
Change in temperature = 102.5°F - 98.6°F = 3.9°F
Time taken = 3 pm - 12 pm = 3 hours
Therefore, the average rate of increase in Jason's body temperature is:
Rate = Change in temperature / Time taken = 3.9°F / 3 hours
Simplifying the calculation:
Rate = 1.3°F/h
Therefore, the average rate of increase in Jason's body temperature is 1.3°F per hour.
Answer: d. 1.3°F/h
Change in temperature = 102.5°F - 98.6°F = 3.9°F
Time taken = 3 pm - 12 pm = 3 hours
Therefore, the average rate of increase in Jason's body temperature is:
Rate = Change in temperature / Time taken = 3.9°F / 3 hours
Simplifying the calculation:
Rate = 1.3°F/h
Therefore, the average rate of increase in Jason's body temperature is 1.3°F per hour.
Answer: d. 1.3°F/h
On January 1, Logan had $200 in his savings account. On the first of each month, beginning February 1, he invested a portion of his pay in the savings account. The graph shows the accumulated principal until November 1. What was his rate of savings during the 10-month period?
Select one:
a.
$180/month
b.
$150/month
c.
$200/month
d.
$140/month
Select one:
a.
$180/month
b.
$150/month
c.
$200/month
d.
$140/month
Based on the information given and the graph, we can determine Logan's rate of savings during the 10-month period.
On January 1, Logan had $200 in his savings account.
By November 1, the accumulated principal in his account is $1800.
The difference in the principal between November 1 and January 1 is $1800 - $200 = $1600.
Since this difference represents the total amount Logan saved over the 10-month period, we can divide it by the number of months to find his rate of savings.
Rate of savings = ($1600) / (10 months) = $160/month
Therefore, Logan's rate of savings during the 10-month period is $160/month.
Answer: There is no option given in the provided choices.
On January 1, Logan had $200 in his savings account.
By November 1, the accumulated principal in his account is $1800.
The difference in the principal between November 1 and January 1 is $1800 - $200 = $1600.
Since this difference represents the total amount Logan saved over the 10-month period, we can divide it by the number of months to find his rate of savings.
Rate of savings = ($1600) / (10 months) = $160/month
Therefore, Logan's rate of savings during the 10-month period is $160/month.
Answer: There is no option given in the provided choices.
A tiny model of a skateboard is 2.25 inches long and a regular size skateboard is 28 inches long. The scale factor of the reduction is approximately
Select one:
a.
11.2
b.
Equation 038
c.
Equation 037
d.
0.08
Select one:
a.
11.2
b.
Equation 038
c.
Equation 037
d.
0.08
To find the scale factor of the reduction from the regular size skateboard to the tiny model, we can divide the length of the tiny model by the length of the regular size skateboard.
Scale factor = Length of tiny model / Length of regular size skateboard
Scale factor = 2.25 inches / 28 inches
Simplifying the calculation:
Scale factor ≈ 0.08035714285714286
Therefore, the scale factor of the reduction is approximately 0.08.
Answer: d. 0.08
Scale factor = Length of tiny model / Length of regular size skateboard
Scale factor = 2.25 inches / 28 inches
Simplifying the calculation:
Scale factor ≈ 0.08035714285714286
Therefore, the scale factor of the reduction is approximately 0.08.
Answer: d. 0.08
Crosby, a giraffe at the Calgary Zoo, is 3.8 metres tall. A stuffed animal version of Crosby is sold in the gift shop. If the scale factor used to reduce the real Crosby to the stuffed animal Crosby is 0.05, how tall is the stuffed animal Crosby?
Select one:
a.
19 cm
b.
76 m
c.
19 m
d.
76 cm
Select one:
a.
19 cm
b.
76 m
c.
19 m
d.
76 cm
To find the height of the stuffed animal Crosby, we can multiply the height of the real Crosby by the scale factor.
Height of stuffed animal Crosby = Height of real Crosby * Scale factor
Height of stuffed animal Crosby = 3.8 metres * 0.05
Simplifying the calculation:
Height of stuffed animal Crosby = 0.19 metres
Since the question asks for the height in centimeters, we can convert 0.19 metres to centimeters by multiplying by 100:
Height of stuffed animal Crosby = 0.19 metres * 100 cm/metre
Simplifying the calculation:
Height of stuffed animal Crosby = 19 centimeters
Therefore, the stuffed animal Crosby is approximately 19 centimeters tall.
Answer: a. 19 cm
Height of stuffed animal Crosby = Height of real Crosby * Scale factor
Height of stuffed animal Crosby = 3.8 metres * 0.05
Simplifying the calculation:
Height of stuffed animal Crosby = 0.19 metres
Since the question asks for the height in centimeters, we can convert 0.19 metres to centimeters by multiplying by 100:
Height of stuffed animal Crosby = 0.19 metres * 100 cm/metre
Simplifying the calculation:
Height of stuffed animal Crosby = 19 centimeters
Therefore, the stuffed animal Crosby is approximately 19 centimeters tall.
Answer: a. 19 cm
Lyric drew a scale diagram of her guitar. The strings on the actual guitar are each 85 cm long. The strings in Lyric's diagram are 51 mm long.
Determine the scale factor of the diagram.
Select one:
a.
1.7
b.
0.06
c.
0.6
d.
16.7
Determine the scale factor of the diagram.
Select one:
a.
1.7
b.
0.06
c.
0.6
d.
16.7
To determine the scale factor of Lyric's diagram, we need to divide the length of the strings in the diagram by the length of the actual strings on the guitar.
Scale factor = Length in diagram / Length in reality
Scale factor = 51 mm / 85 cm
Since the measurements are in different units, we should convert them to the same unit before calculating the scale factor. For consistency, let's convert both measurements to centimeters.
51 mm = 5.1 cm
Scale factor = 5.1 cm / 85 cm
Simplifying the calculation:
Scale factor ≈ 0.06
Therefore, the scale factor of Lyric's diagram is approximately 0.06.
Answer: b. 0.06
Scale factor = Length in diagram / Length in reality
Scale factor = 51 mm / 85 cm
Since the measurements are in different units, we should convert them to the same unit before calculating the scale factor. For consistency, let's convert both measurements to centimeters.
51 mm = 5.1 cm
Scale factor = 5.1 cm / 85 cm
Simplifying the calculation:
Scale factor ≈ 0.06
Therefore, the scale factor of Lyric's diagram is approximately 0.06.
Answer: b. 0.06
Eli has a photo of Chief Mountain that measures 5 inches by 7 inches. He scans the photo and enlarges it by 180%. What are the minimum inside dimensions of the frame he will need for the enlarged photo?
Select one:
a.
2.8 inches by 3.9 inch
b.
900 inches by 1260 inches
c.
277.8 inches by 388.9 inches
d.
9 inches by 12.6 inches
Select one:
a.
2.8 inches by 3.9 inch
b.
900 inches by 1260 inches
c.
277.8 inches by 388.9 inches
d.
9 inches by 12.6 inches
To find the minimum inside dimensions of the frame Eli will need for the enlarged photo, we need to calculate the dimensions of the enlarged photo.
The original photo measures 5 inches by 7 inches.
To enlarge the photo by 180%, we can multiply each dimension by 1 + (180 / 100) = 1.8.
Enlarged width = 5 inches * 1.8 = 9 inches
Enlarged height = 7 inches * 1.8 = 12.6 inches
Therefore, the minimum inside dimensions of the frame Eli will need for the enlarged photo are 9 inches by 12.6 inches.
Answer: d. 9 inches by 12.6 inches
The original photo measures 5 inches by 7 inches.
To enlarge the photo by 180%, we can multiply each dimension by 1 + (180 / 100) = 1.8.
Enlarged width = 5 inches * 1.8 = 9 inches
Enlarged height = 7 inches * 1.8 = 12.6 inches
Therefore, the minimum inside dimensions of the frame Eli will need for the enlarged photo are 9 inches by 12.6 inches.
Answer: d. 9 inches by 12.6 inches
Eli has a photo of Chief Mountain that measures 5 inches by 7 inches. He scans the photo and enlarges it by 180%. By what percentage will the area of the photo increase?
Select one:
a.
583%
b.
324%
c.
360%
d.
180%
Select one:
a.
583%
b.
324%
c.
360%
d.
180%
To calculate the percentage increase in the area of the photo, we need to compare the original area to the enlarged area.
The original area of the photo is 5 inches * 7 inches = 35 square inches.
To find the enlarged area, we can use the dimensions we calculated in the previous response: 9 inches by 12.6 inches.
The enlarged area is 9 inches * 12.6 inches = 113.4 square inches.
Now, we can calculate the percentage increase in the area using the formula:
Percentage increase = (Enlarged area - Original area) / Original area * 100
Percentage increase = (113.4 square inches - 35 square inches) / 35 square inches * 100
Percentage increase = 78.4 square inches / 35 square inches * 100
Percentage increase ≈ 224%
Therefore, the area of the photo will increase by approximately 224%.
Answer: There is no option provided in the given choices.
The original area of the photo is 5 inches * 7 inches = 35 square inches.
To find the enlarged area, we can use the dimensions we calculated in the previous response: 9 inches by 12.6 inches.
The enlarged area is 9 inches * 12.6 inches = 113.4 square inches.
Now, we can calculate the percentage increase in the area using the formula:
Percentage increase = (Enlarged area - Original area) / Original area * 100
Percentage increase = (113.4 square inches - 35 square inches) / 35 square inches * 100
Percentage increase = 78.4 square inches / 35 square inches * 100
Percentage increase ≈ 224%
Therefore, the area of the photo will increase by approximately 224%.
Answer: There is no option provided in the given choices.
A Switzerland-based chocolate company has decided to double the volume of its most popular chocolate bar. The larger bar will be similar in shape to that of the original.
Determine the scale factor relating the dimensions of the original and enlarged chocolate bars.
Select one:
a.
k equals 2 cubed
b.
k equals cube root of 2
c.
k equals 2
d.
k equals square root of 2
Determine the scale factor relating the dimensions of the original and enlarged chocolate bars.
Select one:
a.
k equals 2 cubed
b.
k equals cube root of 2
c.
k equals 2
d.
k equals square root of 2
To determine the scale factor relating the dimensions of the original and enlarged chocolate bars, we need to consider the change in volume.
Doubling the volume of the chocolate bar suggests a cube expansion since volume is related to the cube of the dimensions.
The formula for the scale factor (k) in a similar shape is given by:
k = cube root of (new volume / original volume)
Since we are doubling the volume, the new volume will be 2 times the original volume.
k = cube root of (2 / 1)
k = cube root of 2
Therefore, the scale factor relating the dimensions of the original and enlarged chocolate bars is:
k equals cube root of 2.
Answer: b. k equals cube root of 2.
Doubling the volume of the chocolate bar suggests a cube expansion since volume is related to the cube of the dimensions.
The formula for the scale factor (k) in a similar shape is given by:
k = cube root of (new volume / original volume)
Since we are doubling the volume, the new volume will be 2 times the original volume.
k = cube root of (2 / 1)
k = cube root of 2
Therefore, the scale factor relating the dimensions of the original and enlarged chocolate bars is:
k equals cube root of 2.
Answer: b. k equals cube root of 2.
A Switzerland-based chocolate company has decided to double the volume of its most popular chocolate bar. The larger bar will be similar in shape to that of the original.
What is the factor relating the surface area of the popular chocolate bar to the surface area of the enlarged chocolate bar?
Select one:
a.
4
b.
cube root of 4
c.
root index 6 of 2
d.
8
What is the factor relating the surface area of the popular chocolate bar to the surface area of the enlarged chocolate bar?
Select one:
a.
4
b.
cube root of 4
c.
root index 6 of 2
d.
8
To determine the factor relating the surface area of the popular chocolate bar to the surface area of the enlarged chocolate bar, we need to consider the relationship between the surface area and volume of similar shapes.
For similar shapes, the ratio of their volumes is equal to the cube of the ratio of their corresponding dimensions. However, the ratio of their surface areas is equal to the square of the ratio of their corresponding dimensions.
Since we are doubling the volume of the chocolate bar, the ratio of their volumes is 2^3 = 8.
To find the ratio of their surface areas, we take the square of the ratio of their corresponding dimensions, which is also 2:
Ratio of surface areas = (2)^2 = 4
Therefore, the factor relating the surface area of the popular chocolate bar to the surface area of the enlarged chocolate bar is 4.
Answer: a. 4.
For similar shapes, the ratio of their volumes is equal to the cube of the ratio of their corresponding dimensions. However, the ratio of their surface areas is equal to the square of the ratio of their corresponding dimensions.
Since we are doubling the volume of the chocolate bar, the ratio of their volumes is 2^3 = 8.
To find the ratio of their surface areas, we take the square of the ratio of their corresponding dimensions, which is also 2:
Ratio of surface areas = (2)^2 = 4
Therefore, the factor relating the surface area of the popular chocolate bar to the surface area of the enlarged chocolate bar is 4.
Answer: a. 4.