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Veseljchak [2.6K]
2 years ago
8

Hudson is having his car repaired. The mechanic said it would cost at least $425 for parts

Mathematics
1 answer:
NeTakaya2 years ago
8 0

Answer:

The correct answer is - 3 hours.

Step-by-step explanation:

Given:

Price of parts: $200

Price of labor: $75/hour

Total cost: $425

Solution:

Let x = x of hours work done on the car

The inequality can be represented as:

425 = 75x + 200

Solving this inequality, we find that

225 =75x

or

x = 3

Thus, It means that the mechanic will take at least 3 hrs to work on his car.

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If a ∝ b and a = 18 when b = 3, then find a when b = 5.
Elden [556K]

"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb

We're given that a = 18 and b = 3, so that

18 = 3k   ⇒   k = 6

Then when b = 5, we would have

a = 6 × 5 = 30

4 0
1 year ago
What is the value of h
Dmitriy789 [7]

Answer:

h = 5.318 m

Step-by-step explanation:

6.5/11 = h/9

0.5909 = h/9

h = 5.318

5 0
3 years ago
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Maddie biked 8 3/4 miles today, and Chase bikes 3 1/2 miles. How many times the length of Chase’s bike ride was Maddie’s bike ri
borishaifa [10]

Answer: 2.5 times

Step-by-step explanation:

Given : The length of Chase’s bike ride= 8\dfrac{3}{4}\ miles

The length of Maddie’s bike ride=3\dfrac{1}{2}\ miles

In improper fraction : Length of Chase’s bike ride=\dfrac{4(8)+3}{4}\ miles

=\dfrac{35}{4}\ miles

Similarly , Length of Maddie’s bike ride= \dfrac{7}{2}\ miles

The number of times the length of Chase’s bike ride was Maddie’s bike ride= \dfrac{\text{ Length of Chase’s bike ride}}{\text{ Length of Maddie’s bike ride}}

=\dfrac{\dfrac{35}{4}}{\dfrac{7}{2}}\\\\=\dfrac{5}{2}=2.5

Hence, the length of Chase’s bike ride was 2.5 times Maddie’s bike ride.

8 0
2 years ago
Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeters. If the scale of the map i
Lapatulllka [165]

The real distance fro the shop to the store is 24 km

<em><u>Solution:</u></em>

Given that, Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeter

Scale of the map is 1 centimeter to 8 kilometers

Therefore, scale is:

1\ centimeter : 8\ kilometer

Let "x" be the real distance from the shop to the store

Then by proportion, we get,

\frac{1\ centimeter}{8\ kilometer} = \frac{3\ centimeter}{x\ kilometer}\\\\\frac{1}{8} = \frac{3}{x}\\\\x = 3 \times 8\\\\x = 24

Thus real distance fro the shop to the store is 24 km

3 0
3 years ago
Alice takes 6 cups of flour to make 4 loaves of bread.What is the ratio of loaves to flour
tatiyna

4 loaves : 6 cups

That simplifies to 2 loaves : 3 cups

So, your ratio is 2:3

4 0
3 years ago
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