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2 years ago

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1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon? 2. Jayla buys 1.2 pounds of bananas. The banana

s cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas? 3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?

1 answer:

dolphi86 [110]2 years ago

8 0

Answer:

1. $3.85 per gallon

2. $1.59

3. 7/12

Step-by-step explanation:

1. Jayden spent $46.20 on 12 gallons of gasoline. The price per gallon can be gotten by dividing the total price paid by the total number of gallons bought:

46.20 / 12 = $3.85 per gallon

The price per gallon is $3.85

2. Jayla buys 1.2 pounds of bananas and they cost $1.29 per pound. The total amount paid for the bananas is:

1.2 * 1.29 = $1.59

3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. The total fraction of the pizza ate is:

1/4 + 1/3 = 7/12

They ate 7/12 of the pizza

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Answer:

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Step-by-step explanation:

Given: $(38)^2$

To find: the correct option

Solution:

A binomial polynomial is a polynomial consisting of two terms.

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On multiplying a binomial $(x-y)$ to itself, a perfect square trinomial $(x-y)^2$ is obtained.

Here, $38=40-2$

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3 years ago

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Steps to solve:

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3 years ago

alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

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The formula to calculate the slope between two points is equal to

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substitute the given values

$m=\frac{9-5}{7-3}$

$m=\frac{4}{4}=1$

<em>Find the equation of the line in point slope form</em>

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

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isolate the variable y

$y=x-3+5$

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step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

<em>Find the equation of the line in point slope form</em>

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

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$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

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Step-by-step explanation:

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astra-53 [7]

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visit-:brainly.com/question/12669551

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