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dsp73
3 years ago
14

Yesterday, Jake drove 43 1/2 miles. Jack used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Step-by-step explanation:

43.5 miles per 1.25 gallons

= 34.8 miles per gallon.

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Find h.(Type your answer in simplest radical form)
FromTheMoon [43]

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

Using the geometric mean rules for this geometry, we have ...

  h = √(4·32) = 8√2

and also ...

  a = √(4·36) = 12

  b = √(32·36) = 24√2

For the problem at hand, ...

  h = 8√2 = x√y   ⇒   x = 8, y = 2

5 0
3 years ago
Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.
cestrela7 [59]

Answer:

$16.

Step-by-step explanation:

Let t represent the cost of each tree.

We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.

We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be 8\times \$5=\$40

The total cost of purchasing 8 trees will be 8t+40.  

Since the total cost of the trees including the delivery was $168, so we can get an equation as:

8t+40=168

8t+40-40=168-40

8t=128

Upon dividing both sides of our given equation by 8, we will get:

\frac{8t}{8}=\frac{128}{8}  

t=16  

Therefore, the cost of each tree is $16.

5 0
3 years ago
Dakota earns the money shown in the table. After buying 4 chairs, she has $30 left. How much did Dakota pay for each chair
Fantom [35]
Answer: unknown (graph not shown)

Explanation: to work out the answer, you need to minus $30 from the amount of money Dakota earnt, and then divide that by 4 to find the amount of each chair.
3 0
4 years ago
(-3x2 – 9x + 5) – (-2x2 - 4x + 7)
Elina [12.6K]
-5x^2-13x-2
Hope this helps!
3 0
3 years ago
Read 2 more answers
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present age
yuradex [85]

Answer:

  Hari is 20; Harry is 28

Step-by-step explanation:

The ratio in 4 years is equivalent to the ratio 6:8, which has each of the original ratio unit numbers increased by 1. That means each of those ratio units stands for 4 years, and the present ages are ...

  Hari: 5·4 = 20

  Harry: 7·4 = 28

_____

<em>Conventional method of solution</em>

If you like, you can write equations for the ages of Hari (x) and Harry (y):

  x/y = 5/7

  (x+4)/(y+4) = 3/4

These can be solved a variety of ways. For some methods, it may be useful to write them in standard form:

  • 7x -5y = 0
  • 4x -3y = -4

These have solution (x, y) = (20, 28).

4 0
4 years ago
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