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3 years ago

Can you help me on part a and b you get 19 point

Mathematics

2 answers:

Fynjy0 [20]3 years ago

7 0

A) cost = (cost/gallon)*gallons
.. 83.58 = 3.799*gallons
.. 83.58/3.799 = gallons ≈ 22.001

The SUV has a 22-gallon tank.

B) miles per gallon = miles/gallons
.. miles per gallon = (24297 -24033)/((3/4)*22) = 264/16.5 = 16

The gas mileage for the trip was 16 miles per gallon.

const2013 [10]3 years ago

7 0

A. ($83.58)/($3.79/gal) = 22.0528 gal
B. (24297mi-24033mi)/(0.75×22.0528gal) = 15.9617 mpg

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Answer:

26 units

Step-by-step explanation:

Pythagoras' Theorem: $\sf a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given

a = 10
b = 24

Substitute the given values into the formula and solve for c:

$\sf \implies 10^2+24^2=c^2$

$\sf \implies c^2=676$

$\sf \implies c=\pm\sqrt{676}$

$\sf \implies c=\pm26$

Since length is <u>positive</u>, c = 26 only

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2 years ago

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Find the value of w,then x. Round to the nearest tenth

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

12 / tan 42 = 13.32......

12 / sin 27 = 26.43....

26.43² - 12² = 552.24....

square root of 552.24... = 23.5

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3 years ago

Which ordered pairs are solutions to the inequality

Kipish [7]

Answer:

(1,-1)

(7,12)

(5,-3)

Step-by-step explanation:

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

we have

$y-2x \leq -3$

Verify each case

case 1) we have

(1,-1)

substitute the value of x and the value of y in the inequality and then compare the results

$-1-2(1) \leq -3$

$-3 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

case 2) we have

(7,12)

substitute the value of x and the value of y in the inequality and then compare the results

$12-2(7) \leq -3$

$-12 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

case 3) we have

(-6,-3)

substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(-6) \leq -3$

$9 \leq -3$ ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 4) we have

(0,-2)

substitute the value of x and the value of y in the inequality and then compare the results

$-2-2(0) \leq -3$

$-2 \leq -3$ ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 5) we have

(5,-3)

substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(5) \leq -3$

$-13 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

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3 years ago

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vredina [299]

Answer:

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Step-by-step explanation: i think this is right...

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omeli [17]

Answer:

5 in
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Step-by-step explanation:

Let x represent the length of the shorter base in inches. Then the longer base has length x+6. The area of the trapezoid is given by the formula ...

A = (1/2)(b1 +b2)h

Filling in the values we know, we have ...

48 = (1/2)(x +(x+6))(6)

16 = 2x +6 . . . . . divide by 3

10 = 2x . . . . . . . . subtract 6

5 = x . . . . . . . . . . divide by 2

(x+6) = 11 . . . . . . find the longer base

The lengths of the bases are 5 inches and 11 inches. We found them by solving an equation relating area to base length.

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