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Fed [463]
1 year ago
11

The owner of a bike shop sells tricycles (3 wheels) and bicycles (2 wheels), keeping inventory by counting seats and wheels. One

day she counts 13 seats and 31 wheels. How many of each type of cycle are there?
A. t + b = 13
3t + 2b = 31
B. t + b = 5
3t + 2b = 44
C. t • b = 44
3t + 2b = 13
D. t + b = 31
3t + 2b = 13
Mathematics
2 answers:
maksim [4K]1 year ago
8 0

A. t + b = 13

3t + 2b = 31

13 is the total made (which counts all tricycles and bicycles)

31 is the total wheels used (so you have to count the amount of wheels used for each bike, and how much of each is made).

hope this helps

Andreyy891 year ago
5 0
T + b = 13...this is the seats....the number of trike seats + bike seats = 13
3t + 2b = 31....this is the wheels....number of trikes with 3 wheels + number of bikes with 2 wheels = 31 wheels

ur answer is A

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Olivia counted the number of ladybugs on each plant in her garden, then made the graph below.
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Answer:

A) Roses , C) Alfalfa

Step-by-step explanation:

Each ladybug symbol = 5 ladybugs

Roses: 35 ladybugs

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Roses and alfalfa end up with 35 ladybugs each.

Answer: A) Roses , C) Alfalfa

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2 years ago
Katrina has the option of an 8-year non-subsidized student loan of $32,000 at an annual interest rate of 3.5% or an 8-year subsi
Fiesta28 [93]

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The total interest paid on the non-subsidized loan is USD 8,959

The total interest paid on the subsidized loan is USD 11,520

Step-by-step explanation:

Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520

For non subsidized student loan at 3.5% will be 3.5/100 x 32000x 1/12= USD 93.33/month, USD 1,119per year and USD 8,959 for 8 years

6 0
1 year ago
Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

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3 0
2 years ago
The net of a triangular prism is shown below. What is the surface area of the prism? A. 128 cm^2 B. 152 cm^2 C. 176 cm^2 D. 304
shtirl [24]

Answer:

B. 152 cm²

Step-by-step explanation:

To find the surface area using a net, do this:

Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each (A=l*w) and then add the values together:

The first rectangle on the left is the same as the one on the right.

5*8=40

Two measures are 40 cm².

The middle rectangle is:

6*8=48

48 cm²

The formula for the area of a triangle is A=\frac{1}{2}*b*h:

A=\frac{1}{2}*6*4\\\\A=\frac{1*6*4}{2}\\\\A=\frac{24}{2}\\\\ A=12

The area of the two triangles is 12 cm².

Now add the values:

40+40+48+12+12=152

The area of the figure is 152 cm².

:Done

4 0
2 years ago
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