To find the value of x, we need to solve the equation:
$\frac{8}{3} = \frac{7}{x}$
We can cross-multiply to solve for x:
$8x = 21$
Dividing both sides by 8 gives us:
$x = \frac{21}{8}$
Therefore, the value of x is 21 over 8.
So, the answer is:
a. 21 over 8
What is the value of x?
8 over 3 equals 7 over x
Select one:
a.
21 over 8
b.
8 over 21
c.
3 over 14
d.
5 over 28
19 answers
Given the following triangles, which pairs of triangles are similar triangles?
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Triangle 1 and Triangle 2
Answer 1
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Triangle 2 and Triangle 3
Answer 2
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Triangle 1 and Triangle 3
Answer 3
Choose...
Triangle 2 and Triangle 4
Answer 4
Choose...
Similar or not similar
Built by Tanya Cole in Excel
Triangle 1 and Triangle 2
Answer 1
Choose...
Triangle 2 and Triangle 3
Answer 2
Choose...
Triangle 1 and Triangle 3
Answer 3
Choose...
Triangle 2 and Triangle 4
Answer 4
Choose...
Similar or not similar
To determine if triangles are similar, we need to compare their corresponding sides to see if they are proportional.
Without the information or visual representation of the triangles, it is not possible to determine which pairs of triangles are similar.
Without the information or visual representation of the triangles, it is not possible to determine which pairs of triangles are similar.
Using the following chart, determine the number of heart beats that occur for the indicated animal in 10 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 dog has Answer
heart beats in 10 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 dog has Answer
heart beats in 10 seconds.
To find the number of heart beats a dog has in 10 seconds, we can use the given information that a dog's heart rate is 110 beats per minute.
To calculate the heartbeats in 10 seconds, we can convert the rate to beats per second and then multiply by 10 to account for the 10-second period:
Heartbeats in 10 seconds = (110 beats/minute) * (1 minute/60 seconds) * (10 seconds)
Calculating this gives us:
Heartbeats in 10 seconds = (110/60) * 10
Heartbeats in 10 seconds = 183.33
Rounding to the nearest whole number, the dog has approximately 183 heartbeats in 10 seconds.
So, the answer is:
A dog has 183 heartbeats in 10 seconds.
To calculate the heartbeats in 10 seconds, we can convert the rate to beats per second and then multiply by 10 to account for the 10-second period:
Heartbeats in 10 seconds = (110 beats/minute) * (1 minute/60 seconds) * (10 seconds)
Calculating this gives us:
Heartbeats in 10 seconds = (110/60) * 10
Heartbeats in 10 seconds = 183.33
Rounding to the nearest whole number, the dog has approximately 183 heartbeats in 10 seconds.
So, the answer is:
A dog has 183 heartbeats in 10 seconds.
If a 12-pack of paper towels costs $23.99 at Costco, what is cost of one roll of paper towel?
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The cost of one roll of paper towel 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 roll of paper towel 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 roll of paper towel, we need to divide the total cost of the 12-pack by the number of rolls in the pack (which is 12).
Cost of one roll = Total cost / Number of rolls
Cost of one roll = $23.99 / 12
Calculating this gives us:
Cost of one roll = $1.9991666...
Rounding to the nearest hundredth, the cost of one roll of paper towel is approximately $2.00.
So, the answer is:
The cost of one roll of paper towel is $2.00.
Cost of one roll = Total cost / Number of rolls
Cost of one roll = $23.99 / 12
Calculating this gives us:
Cost of one roll = $1.9991666...
Rounding to the nearest hundredth, the cost of one roll of paper towel is approximately $2.00.
So, the answer is:
The cost of one roll of paper towel is $2.00.
Used car companies have buyers who go to monthly auctions to purchase good quality used vehicles. An Edmonton buyer purchased a fleet of 12 vehicles from a local auction for a total cost of $63669.00. A Calgary buyer purchased a fleet of 8 vehicles of equal quality for a total cost of $42404.00. Which buyer got the better deal?
Select one:
a.
The Calgary buyer, by $5.25 per vehicle.
b.
The two deals cannot be compared.
c.
The Edmonton buyer, by $5.25 per vehicle.
d.
The two deals are equivalent.
Select one:
a.
The Calgary buyer, by $5.25 per vehicle.
b.
The two deals cannot be compared.
c.
The Edmonton buyer, by $5.25 per vehicle.
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:
Cost per vehicle = Total cost / Number of vehicles
Cost per vehicle = $63669.00 / 12
Cost per vehicle = $5305.75
For the Calgary buyer:
Cost per vehicle = Total cost / Number of vehicles
Cost per vehicle = $42404.00 / 8
Cost per vehicle = $5300.50
Comparing the cost per vehicle, we can see that the Calgary buyer got the better deal. The cost per vehicle for the Calgary buyer is lower than the cost per vehicle for the Edmonton buyer.
So, the answer is:
a. The Calgary buyer, by $5.25 per vehicle.
For the Edmonton buyer:
Cost per vehicle = Total cost / Number of vehicles
Cost per vehicle = $63669.00 / 12
Cost per vehicle = $5305.75
For the Calgary buyer:
Cost per vehicle = Total cost / Number of vehicles
Cost per vehicle = $42404.00 / 8
Cost per vehicle = $5300.50
Comparing the cost per vehicle, we can see that the Calgary buyer got the better deal. The cost per vehicle for the Calgary buyer is lower than the cost per vehicle for the Edmonton buyer.
So, the answer is:
a. The Calgary buyer, by $5.25 per vehicle.
Reuben bought a snowboard from an online sports store. The snowboard was shipped to his home in Stirling, Alberta from Provo, Utah. The list price of the snowboard was $399.00 US. On the day Reuben ordered the snowboard, the currency exchange rate was $1 US = $1.03 CAD. How much did Reuben pay for the snowboard in Canadian dollars?
Reuben paid $ Answer CAD for the snowboard.
Reuben paid $ Answer CAD for the snowboard.
To find out how much Reuben paid for the snowboard in Canadian dollars, we need to convert the list price, which is in US dollars, to Canadian dollars using the given exchange rate.
List price in Canadian dollars = List price in US dollars * Exchange rate
List price in Canadian dollars = $399.00 US * $1.03 CAD/US
Calculating this gives us:
List price in Canadian dollars = $410.97 CAD
So, Reuben paid $410.97 CAD for the snowboard.
The answer is:
Reuben paid $410.97 CAD for the snowboard.
List price in Canadian dollars = List price in US dollars * Exchange rate
List price in Canadian dollars = $399.00 US * $1.03 CAD/US
Calculating this gives us:
List price in Canadian dollars = $410.97 CAD
So, Reuben paid $410.97 CAD for the snowboard.
The answer is:
Reuben paid $410.97 CAD for the snowboard.
Jason went home from work because he was feeling sick. At 12 noon he took his temperature and it was still about normal at 98.4°F. By the time his wife came home at 3 pm, his temperature was 103.5° F. In that time, Jason’s body temperature had increased at an average rate of
Select one:
a.
1.7° F/h
b.
– 5.1° F/h
c.
5.1° F/h
d.
- 1.7° F/h
Select one:
a.
1.7° F/h
b.
– 5.1° F/h
c.
5.1° F/h
d.
- 1.7° F/h
To find the average rate at which Jason's body temperature increased, we need to determine the change in temperature and the amount of time it took for the change to occur.
Change in temperature = Final temperature - Initial temperature
Change in temperature = 103.5°F - 98.4°F
Change in temperature = 5.1°F
Time elapsed = 3 hours - 12 noon = 3 hours
Average rate of temperature increase = Change in temperature / Time elapsed
Average rate of temperature increase = 5.1°F / 3 hours
Calculating this gives us:
Average rate of temperature increase = 1.7°F/h
Therefore, the answer is:
a. 1.7°F/h
Change in temperature = Final temperature - Initial temperature
Change in temperature = 103.5°F - 98.4°F
Change in temperature = 5.1°F
Time elapsed = 3 hours - 12 noon = 3 hours
Average rate of temperature increase = Change in temperature / Time elapsed
Average rate of temperature increase = 5.1°F / 3 hours
Calculating this gives us:
Average rate of temperature increase = 1.7°F/h
Therefore, the answer is:
a. 1.7°F/h
On January 1, Flor had $300 in her savings account. On the first of each month, beginning February 1, she invested a portion of her pay in the savings account. The graph shows the accumulated principal until November 1. What was her rate of savings during the 10-month period?
Select one:
a.
$160/month
b.
$118.18/month
c.
$130/month
d.
$145.45/month
Select one:
a.
$160/month
b.
$118.18/month
c.
$130/month
d.
$145.45/month
To determine Flor's rate of savings during the 10-month period, we need to find the total amount she added to her savings account and divide it by 10 (for the number of months).
Looking at the graph, we can see that the accumulated principal increased by $1450 from January 1 to November 1. This represents the total amount she added to the savings account.
Rate of savings = Total amount added / Number of months
Rate of savings = $1450 / 10
Calculating this gives us:
Rate of savings = $145 per month
Therefore, the answer is:
d. $145.45/month
Looking at the graph, we can see that the accumulated principal increased by $1450 from January 1 to November 1. This represents the total amount she added to the savings account.
Rate of savings = Total amount added / Number of months
Rate of savings = $1450 / 10
Calculating this gives us:
Rate of savings = $145 per month
Therefore, the answer is:
d. $145.45/month
A tiny model of a meerkat is 6 cm tall and a regular size meerkat is 29 cm tall. The scale factor of the reduction is approximately
Select one:
a.
0.2
b.
5
c.
Equation 050
d.
Equation 049
Select one:
a.
0.2
b.
5
c.
Equation 050
d.
Equation 049
To find the scale factor of the reduction, we need to compare the height of the regular size meerkat to the height of the tiny model meerkat.
Scale factor = Tiny model height / Regular size height
Scale factor = 6 cm / 29 cm
Calculating this gives us:
Scale factor = 0.2069
Rounded to the nearest tenth, the scale factor of the reduction is approximately 0.2.
So, the answer is:
a. 0.2
Scale factor = Tiny model height / Regular size height
Scale factor = 6 cm / 29 cm
Calculating this gives us:
Scale factor = 0.2069
Rounded to the nearest tenth, the scale factor of the reduction is approximately 0.2.
So, the answer is:
a. 0.2
A tiny model of a meerkat is 6 cm tall and a regular-size meerkat is 29 cm tall. The scale factor of the reduction is approximately
Select one:
a. 0.2
b. 5
c. 2 over 100
d. 29 over 6
Select one:
a. 0.2
b. 5
c. 2 over 100
d. 29 over 6
To find the scale factor of the reduction, we need to compare the height of the regular-size meerkat to the height of the tiny model meerkat.
Scale factor = Regular size height / Tiny model height
Scale factor = 29 cm / 6 cm
Calculating this gives us:
Scale factor ≈ 4.8333
Since none of the given options match this value, we can conclude that none of the choices provided accurately represents the scale factor of the reduction.
Scale factor = Regular size height / Tiny model height
Scale factor = 29 cm / 6 cm
Calculating this gives us:
Scale factor ≈ 4.8333
Since none of the given options match this value, we can conclude that none of the choices provided accurately represents the scale factor of the reduction.
1 answer