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2 years ago

Yesterday, I spent $29.81 for 11 gallons of gasoline. What is the unit rate of the gasoline?

Mathematics

2 answers:

valentina_108 [34]2 years ago

6 0

Answer:$2.71 per gallon

spayn [35]2 years ago

5 0

Answer:

$2.71 a gallon

Step-by-step explanation:

To find the unit rate which is one gallon equals how many dollars, all we have to do is divide 29.81/11 to find out how much 1 gallon equals, which is $2.71/gallon.

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Use a trigonometric function to find the value of x

Alex17521 [72]

(180-30)/2 would be the equation and the answer is 150/2

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3 years ago

What is the equation of a line, in general form, that passes though points (-1,2) and (5,2)?

Tom [10]

Answer:

Step-by-step explanation:

To write the equation of the line. first calculate the slope using the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{2-2}{5--1}= \frac{0}{6} = 0$

Since the slope of this line is 0, it is horizontal and has the form y=b where b is the y-coordinate. So y = 2 is the equation. In general form, it would be y-2 = 0

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3 years ago

The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8.

tekilochka [14]

ANSWER

The new equation is:

$y = - \frac{1}{8} {x}^{2}$

EXPLANATION

The given parabola has equation,

$y = {x}^{2}$

This is the parent function.

When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.

The new equation becomes:

$y = - \frac{1}{8} {x}^{2}$

3 0

2 years ago

the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME

fredd [130]

$25,28,32,37,43,50,58,67.$

$\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

4 0

2 years ago

You are taxed at a rate of 5% for all online purchases and 8.5% for all in-store purchases. If you pay a total of 40$ in taxes i

Zina [86]

$x+y=500$
$0.05x+0.085y=40
$
Multiply both sides of second equation by 20 to get $x+1.7y=800$
Subtract that from first equation to get $0.7y=300$
Divide both sides by 0.7 to get $y=428.571$ , so about $428.57 was spent in store. This leaves $500-428.57=$71.43$ that was spent online

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3 years ago