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Arisa [49]
3 years ago
14

a plane can fly 450 miles in the same time it takes a car to go 150 miles. if the car travels 100 mph slower than the plane, fin

d the speed (in mph) of the plane​
Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

The speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.

Step-by-step explanation:

Since a plane can fly 450 miles in the same time it takes a car to go 150 miles, if the car travels 100 mph slower than the plane, to find the speed (in mph) of the plane the following calculation must be performed:

450 to 150 is equal to 3: 1, that is, the plane travels three times the distance of the car.

Therefore, since 100/2 x 3 equals 150, the speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.

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Use the substitution method to solve the system of equations.
grandymaker [24]
Insert 3x - 7 for y in 15x - 5y = 14
15x - 5(3x - 7) = 14
15x - 15x + 35 = 14
0 = -21
There is no solution.
5 0
3 years ago
What is the value of y in the equation y = 3x - 2, when x = 2
Travka [436]

Answer:

y=4

Step-by-step explanation:

3 x 2=6

6 - 2= 4

8 0
3 years ago
Read 2 more answers
A line has a slope of 8 and a y-intercept of 2. What is its equation in slope-intercept form?
Bumek [7]

Answer:

y = 8x + 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept value

6 0
3 years ago
Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so
Fofino [41]

Answer:

33.3 % (Approx) percent of fish that Tom’s caught  of the number of fish his son caught .

25% is the percent of the total amount Tom caught.

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ values}

Part First

As given

Tom caught 4 fish and his son caught 12 fish.

Here

Part value = 4

Total value = 12

Put in the formula

Percentage = \frac{4\times 100}{12}

Percentage = \frac{400}{12}

Percentage = 33.3 % (Approx)

Therefore the 33.3 % (Approx) percent of fish that Tom’s caught  of the number of fish his son caught .

Second Part

As given

Tom caught 4 fish and his son caught 12 fish.

Total number of fish caught = 4 + 12

                                              = 16

Part value = 4

Total value = 16

Put in the formula

Percentage = \frac{4\times 100}{16}

Percentage = \frac{400}{16}

Percentage = 25%

Therefore the 25% is the percent of the total amount Tom caught.



8 0
3 years ago
The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be "Indian Red" one sixt
Vladimir79 [104]

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1

solve for x

Find the Least Common Multiple of denominators

LCM=(2^2)((3)(5)=60

Multiply both sides by 60

\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60

simplify

15+10+12+60x=60

60x=60-37\\60x=23\\x=\frac{23}{60}

therefore

The fraction of tiles that will be the color of "sand" is 23/60

5 0
4 years ago
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