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soldier1979 [14.2K]
4 years ago
7

Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you tra

vel to cover 212.5 miles in 2.5 hours?
Mathematics
2 answers:
Romashka [77]4 years ago
8 0

Answer:

85 miles per hour.

Step-by-step explanation:

We have been given a formula r=\frac{d}{t}, d is the distance in miles, r is the rate, and t is the time in hours.

To find the rate, we will substitute our given values in above formula as:

r=\frac{\text{212.5 miles}}{\text{2.5 hours}}

r=\frac{\text{85 miles}}{\text{ hour}}

Therefore, our required rate is 85 miles per hour.

Shtirlitz [24]4 years ago
6 0
R=d/t = 212.5/2.5 = 85
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Maria works as a florist and worked 15 hours last week and earned $112.50. At that rate, how much will she earn if she works for
Montano1993 [528]

Answer:

Rearranging the options we have;

a. $73

b. $75

c. $55

d. $78

From which the correct option is;

b. $ 75.

Step-by-step explanation:

To solve the question, we note that

Number of hours worked last week by Maria = 15 Hours

Amount earned by Maria for work last week = $ 112.50

Therefore by finding the hourly rate, that is how much Maria is being paid per hour, we get

15 Hours = $ 112.50

Therefore dividing both sides of the equation by 15 we get

15 Hours/15 = $ 112.50/15 which gives

1 Hour = $ 7.50

To find out  how much will she earn if she works for 10 hours, we have

1 Hour = $ 7.50

Therefore multiplying both sides of the equation by 10 we have,

1 Hour × 10 = $ 7.50 × 10

10 hours = $ 75.00

That is she would earn $ 75.00 in 10 hours.

7 0
3 years ago
2/3 (x - 7) = -2 what does x equal<br><br> (2/3 is a fraction not dividing)
ozzi

Answer:

x = 4

Step-by-step explanation:

Given

\frac{2}{3}(x - 7) = - 2

Multiply both sides by 3 to clear the fraction

2(x - 7) = - 6 ← distribute left side

2x - 14 = - 6 ( add 14 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

5 0
3 years ago
Read 2 more answers
Find the actual length. Scale length is 9 cm. Scale is 1 cm = 7.5 m.
Llana [10]
Answer: 67.5 meters


Step by step explanation


I think you meant the scale drawing is 9 cm so all you have to do is multiple 9 times 7.5 because 1 cm is 7.5 so if you multiple 9 times 7.5 you get how much it is in real life which is 67.5
4 0
3 years ago
DJ Giovanni is making a playlist for a friend; he is trying to decide what 12 songs to play and in what order they should be pla
Elena L [17]

Answer:

5.78×10¹⁵

Step-by-step explanation:

The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.

The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.

The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.

The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.

The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.

Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.

So the total number of possible playlists is:

(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵

4 0
4 years ago
The shape in the figure is constructed from several identical squares. If the side of each square is 1 unit, what is the area an
alexdok [17]

Answer:

Area: 7 units²

Perimeter: 14 units

Step-by-step explanation:

Area of each square:

1 unit × 1 unit = 1 unit²

There are 7 squares:

1 unit² × 7 (squares) = 7 units²

The area of the shape is 7 units².

The perimeter of the shape is the length of the outer sides.

1 + 1 + 1 + 1/2 + 1/2 + 1 + 1 + 1/2 + 1 + 1/2 + 1 + 1 + 1 + 1 + 1 + 1 =  14 units

5 0
4 years ago
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