A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as many pairs of blue pleated slacks as gray pleated slacks, and it sold twice as many pairs of gray non-pleated slacks as blue non-pleated slacks. If it sold 333 pairs of blue slacks and 225 pairs of gray slacks, how many pairs of blue non-pleated slacks did it sell?

Answers

Answer 1

Answer:

138 pairs

Step-by-step explanation:

The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:

[tex]blue\ pleated = 5 * gray\ pleated[/tex] (eq1)

The number of gray non-pleated is twice the number of blue non-pleated slacks, so:

[tex]blue\ nonpleated = 2 * gray\ nonpleated[/tex] (eq2)

The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:

[tex]blue\ pleated + blue\ nonpleated = 333[/tex] (eq3)

[tex]gray\ pleated + gray\ nonpleated = 225[/tex] (eq4)

If we add (eq1) and (eq2), we have:

[tex]blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated[/tex] (eq5)

Using (eq3) and (eq4) in (eq5), we have:

[tex]333 = 2*225 + 3*gray\ pleated[/tex]

[tex]gray\ pleated = 117/3 = 39[/tex]

From (eq1), we have:

[tex]blue\ pleated = 5*39 = 195[/tex]

From (eq3), we have:

[tex]blue\ nonpleated = 333 - 195 = 138[/tex]

Answer 2

Answer:

88

Step-by-step explanation:


Related Questions

Plz try your best do not quess

Answers

Answer:

4,000,000,000,000

Step-by-step explanation:

Make it look like this first:

[tex]\frac{6*10^8}{1.5*10^-4}[/tex]

You get:

[tex]4*10^{12}[/tex]

Which is 4,000,000,000,000

Answer: 4,000,000,000,000

Explanation : solve on the parenthesis
(6x100000000)/(1.5x0.0001)
600000000/0.00015
4,000,000,000,000

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay?

Answers

Answer:

$10.68

Step-by-step explanation:

The question is incomplete as we were not given the cost of each pizza and each drink.

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay? If one large pizza cost $12 and small drink cost $1.5.

Solution:

one large pizza cost = $12

small drink cost = $1.5

3 large pizzas = 3×12 = 36

5 small drinks = 5×1.5 = 7.5

Tip = $9.90

Total cost = 36+7.5+9.9 = $53.4

Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5

Each person pays = $53.4/5

Each person pays = $10.68

Lorrie biked d miles in 2 hours. She traveled at an average speed of more than 8 miles per hour. To determine the distance she may have traveled, she uses the inequality 2d > 8. She then determines that she biked at most 4 miles. Analyze Lorrie’s inequality and solution.

Answers

Answer:

[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]

[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define the problem

Given:

Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.

Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).

Task:

Lorrie wants to determine the distance she may have traveled.

Key point:

The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:

[tex]d = s[/tex] x [tex]t[/tex]

Step 2: Substitute given data into the main relation

with: [tex]s > 8[/tex] and [tex]t = 2[/tex]

=>     [tex]d = s[/tex] x [tex]t[/tex]

=>     [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]

Simplify:

        [tex]d > 16[/tex]

Step 3: Verify Lorrie's inequality

Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].

Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].

=> Lorrie's conclusion is incorrect.

Hope this helps!

:)

Answer:

Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.

Step-by-step explanation:

took the test

What is the volume of the rectangular prism, in cubic cm?
9 cm
4 cm
12 cm

Answers

Answer:

V =432 cm^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 9*4*12

V =432 cm^3

What is the area of the figure? A. 360 km² B. 432 km² C. 720 km²
D. 864 km²​

Answers

The answer is 360km^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

PLEASE HELP ASAP How many solutions does this system have? (photo below)

Answers

Answer: I got b., no solutions

Step-by-step

3x-5y=15

6x-10y-30x

times the top by-10 and the bottom by 10

-30x+50=-150

60x-50=300

crossing out the 50's cause they cancel out. also, subtract the others -30-60 giving -90x. and -150-300= -140

-90x=-450

divide  -450 by -90

x=5.

Put 5x in either equation. Either one you do. it cancels out the answer in the equation. then you would subtract and get zero. divide and still get zero.

Sounds really confusing but hope it helps. Please give me a brainliest. Thanks :)

plz, help. plzzzzzzzzzzzzz

Answers

Answer:

[tex]Area = 26.75 \:units^2[/tex]

Step-by-step explanation:

[tex]Area =\:\frac{\left(3.5\right)\left(2+2+5\right)}{2}+\frac{\left(2\right)\left(2\right)}{2}+\left(2\cdot 2\right)+\frac{\left(2\right)\left(5\right)}{2}\\\\=26.75[/tex]

Calculate log 10.5 , Given that log 2 = 0.30, log 3 = 0.48 and log 7 = 0.85

Answers

Answer:

Step-by-step explanation:

log 2.5=log 21/2=log (3*7)/2=log3+log7-log 2=0.48+0.85-0.3=1.03

if(x+3) and 133 digree is a pair of vertically opposite angles then the measure of x is

Answers

Answer:

x=130

Step-by-step explanation:

as vertically opposite angles are equal therefore,

133=X+3

x=133-3= 130

I hope it helps

State the solution
5x-y=14 and x+3y=-10

Answers

Answer:

x = 2, y = - 4

Step-by-step explanation

5x-y=14

x+3y= - 10

x = - 10 - 3y

5(- 10 - 3y) - y = 14

- 50 - 15y - y = 14

-16y = 64

y = - 4

x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2

x = 2

Need help with this Pls!! Show work

Answers

Answer:

2200[tex]\pi[/tex] cm

Step-by-step explanation:

V= [tex]\pi[/tex]r²h

V= [tex]\pi[/tex](10)²22. Since it is filled 3 cm from the top, you can subtract 3 from the height

V= [tex]\pi[/tex](100)(22)

V= 2200[tex]\pi[/tex] cm

What is the quotient of x^2-9x+14/x-7?

A. x+2 B. x-7 C. x-2/x-7 D. x-2

Answers

Answer:

(x - 7)(x - 2)

----------------- = x - 2 for x ≠ 7    

     x - 7

Step-by-step explanation:

Please use parentheses to show clearly that you are dividing by (x - 7):

 x^2 - 9x - 14

-------------------       or    (x^2 - 9x - 14) ÷ (x - 7)

       x - 7

x^2 - 9x + 14 factors into (x - 7)(x + 2).  After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:

(x - 7)(x - 2)

----------------- = x - 2 for x ≠ 7    

     x - 7


Esmeralda has decided that every month, for as long as she can
afford it, she's going to donate $250 to a charity that helps fund
research on treatments for cancer. Esmeralda sticks to her word and
continues donating for 2 years. Determine how many more months she
can afford to donate if the starting balance of the account is $8,000.

Answers

Answer:

8 months more

Step-by-step explanation:

first calculated how many months total she can donate: 8000/250 = 32 months

2 years has 24 months

subtract 32 with 24 which is 8 and that is how many months left that she can donate

Share £45 in the ratio 4:5

Answers

Answer:

20 : 25

Step-by-step explanation:

A : B : total

4 : 5 : 4+5 = 9

We want to share 45

45/9 = 5

Multiply each share by 5

A :     B    : total

4*5 : 5*5 : 9*5

20 : 25   : 45

Please Help ASAP!
What values are in the domain of the function f(x)= 4-2x, if the range is {0,4,8}

Answers

Replace the range for f(x)

So...

0=4-2x

x=2

4=4-2x

x=0

8=4-2x

x=-2

Solve!

These are your domains!

please need help :(

Answers

Answer:I think it's D.

What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?

A. 9012 cubic centimeters

B. 9412 cubic centimeters

C. 95 cubic centimeters

D. 9512 cubic centimeters

Answers

The required volume of the rectangular prism is 765792 cubic centimeters. None of the options are correct.

To find the volume of a rectangular prism, you can use the formula:

Volume = length (l) * width (w) * height (h)

Given:

l = 412 cm

w = 312 cm

h = 6 cm

Volume = 412 cm * 312 cm * 6 cm
Volume = 128544 * 6 cubic centimeters
Volume = 771264 cubic centimeters

Thus, the volume of the given rectangular prism is 771264 cubic centimeters.

Learn more about volume here:

https://brainly.com/question/31621849

#SPJ12

find the gradient of the line through (0, 2) and (3,14)​

Answers

Answer:

gradient = 4

Step-by-step explanation:

Calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)

m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Linear or non linear

Answers

Answer:

linear

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

It has mathematical proportion


Find the circumference of the circle.
Use 3.14 for Pi
c=2pi r
13 cm
Give your answer to the nearest hundredth.

Answers

Answer:

81.64

Step-by-step explanation:

2(3.14)=6.28

6.28*13=81.64

Plug r into the equation provided...

c = 2(3.14)(13)

c = 81.64cm

What would this be and how do i find the answer?

Answers

Answer:

d

Step-by-step explanation:

this says x is greater than -4 meaning the integers cannot include -4

it also says x is less than or equal to one meaning that it can include 1 but not more than 1

d satisfies this inequality.

Add.
5x^2- 5x+1
2x^2+9x-6

Answers

Answer: C. 7x^2+4x-5

Step-by-step explanation:

Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.

What is the circumference and area of a circle in which the diameter of the circle is 16 feet

Answers

Answer:

The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps

Step-by-step explanation:

Triangle XYZ is translated by the rule [x+1, y-1] Ian been dilated by scale factor of 4 centered at the origin. Which statement describes the properties triangles XYZ and X’’Y’’Z” after the transformations?

Answers

Answer:

D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.

Step-by-step explanation:

After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.

Directions: Find the value of x.

Answers

Answer:

x=14

Step-by-step explanation:

We know JNK+KNI must equal 180 because it is half of a circle.

31+9x+23=180

9x=126

x=14

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

         = r² + 9r + 8

         = (r + 9/2)² - 81/4 + 8

         = (r + 4.5)² - 12.25 (Complete the square)

   Vertex: (-4.5, -12.25)

does y = 2x + 3 and y = 2x – 11. intercept

Answers

Answer:

yesssssssssssssssssssssssssssssss

what are solutions for |x+4|=3x-5

Answers

Answer:

Step-by-step explanation:

A livestock vaccine is to be given at the rate of 2 milliliters for each 15 pounds of body weight. How much should be given to a 60-pound goat?

Answers

Answer:

8

Step-by-step explanation:

There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat

Answer:80milliliters/pound

Step-by-step explanation:

Rate per a pound = 20/15=4/3

For 60pounds =4*60/3

=80milliliter/pound

i suck at geo please help

Answers

Answer:

It's B

Step-by-step explanation:

Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.

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