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Orlov [11]
3 years ago
12

Martin drives to work at a speed of 45 miles per hour. It takes him about 2 hours and 15 minutes to get to work. If gas costs $2

.75 per gallon and Martin’s car gets 25 miles per gallon, about how much does Martin spend on gas to get to work?
Mathematics
1 answer:
Talja [164]3 years ago
3 0

2.25 * 45 = 101.25 miles to work

101.25 / 25 = 4.05 gallons of gas

4.05 * 2.75 = $11.14 total cost of gas

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(x-6)(x+4)

Using FOIL

x^2 + 4x - 6x - 24

x^2 - 2x - 24
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2 years ago
Which of the following equations describes the line shown below? Check all
nexus9112 [7]

Answer:

C and D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

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Using (a, b ) = (9, 3 ) , then

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Using (a, b ) = (- 3, - 6 ), then

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4 0
3 years ago
The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the
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Answer:

\text{Smaller square's 15 inches, Bigger square's 18 inches}

Step-by-step explanation:

GIVEN: The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the square is 549 inches.

TO FIND: the lengths of the sides of the two squares.

SOLUTION:

let the length of side of small square be \text{x}

Area of small square =(\text{side})^2=\text{x}^2

As length of each side of bigger square is 3\text{ inches} more than the smaller square

length of side of bigger square =\text{x}+3\text{ inches}

Area of bigger square =(\text{x+3})^2

Also

Sum of areas of both square =549\text{ inch}^2

(\text{x})^2+(\text{x+3})^2=549

2\text{x}^2+6\text{x}+9=549

\text{x}^2+3\text{x}-270=0

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as the length of side can never be negative

\text{x}=15

length of side of smaller square =15\text{ inches}

length of side of bigger square =\text{x}+3\text{ inches}=18\text{ inches}

Hence the length of smaller and bigger square are 15\text{ inches} and 18\text{ inches} respectively.

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