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3 years ago

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Kelton made punch for a school dance. He used 2 gallons of apple juice and 3 bottles of ginger ale to make enough to fill two pu

nch bowls. If Kelton had used 15 bottles of ginger ale, how many gallons of apple juice would he have needed?

1 answer:

irina1246 [14]3 years ago

8 0

Answer:

10 gallons of juice

Step-by-step explanation:

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An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el

CaHeK987 [17]

<u>Let's take this problem step-by-step</u>:

<u>Let's first set up some variables</u>:

c: # of children
a: # of adults

<u>Let's examine the information given:</u>

Elevator can hold a maximum of 1500 pounds

⇒ average child is 75 pounds

⇒ average adult is 150 pounds

⇒<em> therefore</em>: $75c + 150a\leq 1500$

Elevator can fit no more than 14 people

⇒ <em>therefore</em>: $c + a \leq 14$

<u>Let's graph the equations</u>:

$75c+150a\leq 1500\\c+a\leq 14$

⇒ look at the image attached

<u>The point at which the two graphs intersect:</u>

⇒ <em>is the solution that represents the amount of children and adults and </em>

<em> their combine weight</em>

<em />

<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>

<em> ⇒ the </em><em>solution is 8 children and 6 adults</em>

<em></em>

<u>Answer: 8 children and 6 adults</u>

<u></u>

Hope that helped!

<em />

7 0

1 year ago

Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop

Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m= $\frac{-5--3}{-2--1}$

simplify

m= $\frac{-5+3}{-2+1}$

add

m= $\frac{-2}{-1}$

divide

m=2

So the slope is <u>2</u>

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

<u>-1=b (the value of the y intercept!) </u>

Substitute -1 as b into the equation

<u>y=2x-1</u>

We found everything needed for this problem

Hope this helps!

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3 years ago

In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at

zysi [14]

Answer:

$18.15

Step-by-step explanation:

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2 years ago

I am 3/2 as old as Paul. Ten years later, I will be 5/4 of Paul's age then. How old am I now? How old is Paul now?

Maslowich

Answer:

to be fair, i really dont know this

Step-by-step explanation:

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2 years ago

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Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves

Radda [10]

A washer has outer radius $2-x^2$ and inner radius $2 - \sqrt{x}$

$\displaystyle V = \int_0^1 \pi\Big[ \left( 2 - x^2 \right)^2 - \left( 2 - \sqrt{x}\right)^2\Big] dx$

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3 years ago