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3 years ago

If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?

Mathematics

1 answer:

svetoff [14.1K]3 years ago

4 0

Answer:

$Total\ Cost = \$973.75$

Step-by-step explanation:

Given (Missing part of question)

T-shirts = $7.50

Shorts = $9.00

Windbreakers = $12.25

Required

Determine the total cost

Total Cost is calculated as follows;

$Total\ Cost = Costs\ of\ T-Shirts + Costs\ of\ Shorts + Costs\ of\ Windbreakers$

$Total\ Cost = 35 * \$7.5 + 45 * \$9.00 + 25 * \$12.25$

$Total\ Cost = \$262.5 + \$405.00 + \$306.25$

$Total\ Cost = \$973.75$

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A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th

Nikolay [14]

The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

<em><u>The area of rectangle is given as:</u></em>

$\text {Area of rectangle }=\text { length } \times \text { width }$

Substituting the values we get,

$\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}$

On solving the above quadratic equation using quadratic formula,

$\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}$

Substituting in above quadratic formula,

$\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}$

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

8 0

4 years ago

Express without negative exponents

Andrei [34K]

1/5^-1 = 5

.4^-2 = 6.25

so it would be 5 x 6.25

6 0

3 years ago

The diver reaches a deepth of a 4 meters. what is the change in elevation of the diver.

defon

I'm guessing it would be -4 below sea level because if your at sea level, and go down, then it would be -4 below sea level.

4 0

3 years ago

What is a solution for the equation 2x-y=5 PLEASE HELP!!!!

SOVA2 [1]

Y = 2x - 5
You would subtract -2x from both sides, and then divide -y by both sides

6 0

4 years ago

Read 2 more answers

2. Find the simple interest. P=$90300, R=8.7%, T=2

ZanzabumX [31]

Answer:

$15,712.20

Step-by-step explanation:

First you convert the percentage to decimal form out of 100 (which you divide)

8.7%/100 = 0.087

A = P(1 + rt)

A = $90,300(1 + 0.087 * 2) ( * = multiplication)

I = $106,012.20 - $90,300= $15,712.20

Which you should get $15,712.20

Hope this helps!

5 0

3 years ago