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Daniel [21]
3 years ago
15

Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the m

otorcycle?
Find the unit rates

Compare the unit rates

-help please-

Mathematics
2 answers:
sweet [91]3 years ago
8 0

Answer:

Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?

The car is faster

Find the unit rates

The car is going 30 feet in 1 second(600 divide by 20 = 30)

The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)

Compare the unit rates

30 > 25

Step-by-step explanation:

algol [13]3 years ago
4 0

Answer:

Hakim's car is faster.

Step-by-step explanation:

Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.

So for Hakim, the unit rate are 30 feet per second because 600/20 = 30

For Andre, the unit rate is 25 feet per second because 600/24 = 25

Hakim's car goes faster because 30 is greater than 25.

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If the range of the function f(x) = 7x – 2.7 is {14.1, 30.9, 41.4, 58.9, 68}, what is its domain?
Drupady [299]

domain is {2.4, 4.8, 6.3, 8.8, 10.1 }

For domain, equate f(x) to each value in the range and solve for x

7x - 2.7 = 14.1 ⇒ x = \frac{x14.1 + 2.7}{7} = 2.4

7x - 2.7 = 30.9 ⇒ x = \frac{30.9 + 2.7}{7} = 4.8

7x - 2.7 = 41.4 ⇒ x = \frac{41.4 + 2.7}{7} = 6.3

7x - 2.7 = 58.9 ⇒ x = \frac{58.9 + 2.7}{7} = 8.8

7x - 2.7 = 68 ⇒ x = \frac{68 + 2.7}{7} = 10.1


7 0
3 years ago
Please help! I dont understand math at all! :o(
Brut [27]

Answer:

$393.75

$2,446.88

Step-by-step explanation:

Let's take this problem one step at a time. First let's compute for the total price after the sales tax has been added.

Sales tax = 8.75% or 0.0875

Original Price = $4,500

The sales tax is computed by multiplying the total to the sales tax rate.

4,500 x 0.0875 = $393.75

$393.75 is the total sales tax that Brenton will pay.

Now to find the total price with the sales tax included, we simply add the original price and the sales tax value together.

4,500 + 393.75 = $4,893.75

Now that we have the total overall price, we can then compute for how much the 50% down payment Brenton has made.

Down Payment = 50% or 0.5

Overall Price = $4,893.75

We simply multiply both the down payment and the overall price to find how much Brenton has paid.

4,893.75 x 0.5 = $2,446.88

Now that we know how much Brenton paid, we also now know how much Brenton financed by subtracting the overall price to his down payment.

4,893.75 - 2,446.88 = $2,446.88

Brenton finance a total amount of $2,446.88.

5 0
3 years ago
7 - 8x + 22<br> What does X equal!<br> x =?
VashaNatasha [74]

Answer: x = -3.625 or -29/8

Step-by-step explanation:

7-8x+22

1. -Set it equal to 0.

7-8x+22=0

2. Subtract 7 and 22 from both the left and right sides.

7-8x+22=0

-7 -22      -7 -22

8x = -29

4. Divide both sides by 8.

8x=-29

8       8

x= -3.625

Leave it in fraction form if decimal is unacceptable.

hope this helps.

3 0
3 years ago
Select all equations that have 5 as a solution.​
Lina20 [59]

Answer:

D,F

Step-by-step explanation:

D . x cubed is 5 times 5 which is 25 times 5 which is 125

F x squared is 5 times 5 which is 25

4 0
2 years ago
Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.
vova2212 [387]

Answer:

1) For a = 1: b = 6 and k = 6, 2) For a = 3: b = 4 and k = 12

Step-by-step explanation:

The polynomial y = x^{2} - 7\cdot x + k is a second-order polynomial of the form (x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b. By direct comparison, we construct the following system of equations:

a + b = 7 (1)

a\cdot b = k (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both a and b are integers. We assume two arbitrary integers for a:

1) a = 1

b = 7 - a

b = 6

a\cdot b = k

k = (6)\cdot (1)

k = 6

2) a = 3

b = 7 - a

b = 4

a\cdot b = k

k = (3)\cdot (4)

k = 12

6 0
3 years ago
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