All categories

3 years ago

Plz help i dont want to fail

Mathematics

2 answers:

WINSTONCH [101]3 years ago

6 0

Answer:

$p=\$1.50,\\c=\$0.75$

Step-by-step explanation:

We can write the following system of equations:

$\begin{cases}3p+2c=6.00,\\2p+3c=5.25\\\end{cases}$

Multiply the second equation by $-\frac{3}{2}$ to isolate and solve for $c$ :

$\begin{cases}3p+2c=6.00,\\-3p-4.5c=-7.875\\\end{cases},\\-2.5c=-1.875,\\c=\fbox{$\$0.75$}$ ,

Now plug in $c=0.75$ into any equation to solve for $p$ :

$3p+2(0.75)=6.00,\\3p=4.50,\\p=\fbox{$\$1.50$}$ .

olga2289 [7]3 years ago

5 0

Answer:

One Slice of Pizza is $1.50

One cola is $0.75

Step-by-step explanation:

First, we need to define our variables:

x = pizza

y = cola

Next, we need to create two equations (one for Tanisha's order and one for Rachels order) using the information provided in the problem:

3x + 2y = 6.00

2x + 3y = 5.25

Now, we need to use one of the equations to solve for one of the variables:

3x + 2y = 6.00

2y = 6 - 3x

y = 3 - 1.5x

Next, we need to substitute y into one of the equations to find x:

2x + 3 (3 - 1.5x) = 5.25

2x + 9 - 4.5x = 5.25

-2.5x + 9 = 5.25

-2.5x = -3.75

x (or price per slice of pizza) = 1.50

Finally, we need to use the value we found for x to solve for y:

(2 x 1.5) + 3y = 5.25

3 + 3y = 5.25

3y = 2.25

y (or price per cola) = .75

I hope this helps!

-TheBusinessMan

You might be interested in

A singer makes 2% royalties on the sales of her album. Which proportion could be used to determine her sales if she made $44,000

Nikitich [7]

I believe it is the second one :)

8 0

3 years ago

Of the 10 contestants in a televised quiz competition, 2 were eliminated during this week's show, and 2 more will be eliminated

andriy [413]

Jkyth did do tacky jfhdhjzjdhxjfbfnchkfnfnflnfg

3 0

3 years ago

Read 2 more answers

What type of number is

WITCHER [35]

Whole number, integer, and rational

7 0

3 years ago

The volume of a sphere whose diameter is 18 centimeters is _ cubic centimeters. If it’s diameter we’re reduced by half, it’s vol

kaheart [24]

<h2>Answer:</h2>

<u>First Part</u>

Given that

$Volume = \frac{4}{3} \pi r^{3}$

We have that

$Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}$

<u>Second Part</u>

Given that

$Volume = \frac{4}{3} \pi r^{3}$

If the Diameter were reduced by half we have that

$Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}$

This shows that the volume would be $\frac{1}{8}$ of its original volume

<h2>Step-by-step explanation:</h2>

<u>First Part</u>

Gather Information

$Diameter = 18cm$

$Volume = \frac{4}{3} \pi r^{3}$

Calculate Radius from Diameter

$Radius = \frac{Diameter}{2} = \frac{18}{2} = 9$

Use the Radius on the Volume formula

$Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}$

Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s

$Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3$

We can see now that one of the 3s can be already divided by the 3 in the denominator

$Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3$

Finally, since we can't simplify anymore we just calculate it's volume

$Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}$

$Volume \approx 3053.63 cm^{3}$

<u>Second Part</u>

Understanding how the Diameter reduced by half would change the Radius

$Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}$

Understanding how the Radius now changes the Volume

$Volume = \frac{4}{3}\pi r^{3}$

With the original Diameter, we have that

$Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\$

If the Diameter were reduced by half, we have that

$Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}$

But we can see that the numerator is exactly the original Volume!

This shows us that the Volume would be $\frac{1}{8}$ of the original Volume if the Diameter were reduced by half.

3 0

2 years ago

Solve equestion give i give you 20 points

andre [41]

Answer:

Is that the whole problem

Step-by-step explanation:

or is there more we need to see

3 0

3 years ago

Read 2 more answers