Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.

Answers

Answer 1

Answer:

If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Step-by-step explanation:

The information provided is as follows:

Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.

The variable x is the number of pairs of pants.

The total cost function for Kelsey will be:

[tex]TC_{K}=17.95\cdot x+24[/tex]

The total cost function for Jeana will be:

[tex]TC_{J}=18.95\cdot x+18[/tex]

Consider that both pay the same total cost for their purchases.

Compute the value of x as follows:

            [tex]TC_{K}=TC_{J}[/tex]

[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]

Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.


Related Questions

Given y = -7x + 7, the y-intercept is

Answers

Answer:

The y-intercept is 7

Step-by-step explanation:

y = slope(x) + y-intercept

The y-intercept is 7

Manual is a word processor operator he makes $11.50 an hour determine his gross earnings for a week if he worked 52 hours

Answers

$598 basically 11.50•52

A florist shop represents its first month’s sales with the equation y = 168 x + 8, where x represents the number of days that the shop is open and y represents the sales in dollars. The owner of the shop would like to calculate the number of days it took to reach $3,200 in sales. Which would be used to solve the problem?
Substitute 3,200 for x.
Add 8 and 3,200.
Divide 3,192 by 168.
Isolate y in the equation.

Answers

Answer:

c is correct

Step-by-step explanation:i took the test

Answer:

C

Step-by-step explanation:

If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2

Answers

Answer:

x = -2 or x = -1/2

Step-by-step explanation:

We can just set up an equation where the quadratic is equal to -10, and then solve the equation:

[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]

Now, factor:

[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]

Two window washers start at the heights shown. One is​ rising, the other is descending. How long does it take for the two window washers to reach the same​ height? Explain.

21 ft high

rising 8 in./s

50 ft high

descending 11 in./s

After t​ seconds, the height of the rising window washer is exactly

nothing ​feet, and the height of the descending window washer is exactly

nothing feet. Setting these expressions equal to each other and solving for t yields the exact value t

nothing. Rounding to one decimal​ place, the window washers reach the same height after about

nothing seconds.

​(Simplify your​ answers.)

Answers

Answer: 18.32secs

Step-by-step explanation:

given data:

first washer

21 ft high

rising 8 in./s

second washer

50 ft high

descending 11 in./s

Solution:

initial height of first washer = 21 feet

1feet = 12inches

21 * 12 = 252inches

decending at a pace of 8inch/secs

= 252 + 8x

initial height of second washer

= 50 feet

= 50 * 12

= 600inches

descending at a pace of 11inch/secs

= 600 + 11x

At what time would they meet

252 + 8x = 600 + 11x

collect like terms

8x + 11x = 600 – 252

19x = 348

divide both sides by 19

19x/19 = 348/19

x = 18.32secs


What is the slope of the following equation?

Answers

Answer: 2-

Step-by-step explanation:

Heeeeeeeeelp pls I need help

Answers

Answer:

I am pretty sure that is is 64

Step-by-step explanation:

but i used a calculator soooo

Gill wears a device that counts the number of steps she takes every day. One day she did onefifteenth of her steps before breakfast, a further half walking into town and another one-tenth walking round the supermarket. a What fraction of her steps were not taken yet? b That day the device recorded 12 000 steps. How many steps were not taken yet?

Answers

Answer:

6000 steps

Step-by-step explanation:

1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3

2/3=12000 steps

1/3=6000 steps

3/3=18000 steps

Her total steps should be 18000 and she has done 12000 steps.

18000-12000=6000 steps

6000 steps were not taken yet.

[tex]1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3[/tex]

[tex]2/3=12000 steps[/tex]

[tex]1/3=6000 steps[/tex]

[tex]3/3=18000 steps[/tex]

Her total steps should be 18000 and she has done 12000 steps.

[tex]18000-12000=6000 steps[/tex]

What is the most important thing when walking?

Walking prevents heart disease, raises the heart rate, lowers blood pressure, and strengthens the heart. Postmenopausal women who walk 1-2 miles a day can lower their blood pressure by about 11 points in 24 weeks.

For example, regular and active walking helps maintain a healthy weight and reduce body fat. Prevents or treats a variety of conditions, including heart disease, stroke, high blood pressure, cancer, and type 2 diabetes. Improves cardiovascular health.

Learn more about walking  here: https://brainly.com/question/1744272

#SPJ2

what do reflections have that dilation do not

Answers

Answer:

A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.

use synthetic division

f(x) = x^3 - 6x + 1 for x = 6

ILL MARK BRAINLIST IF ITS RIGHT !!!

Answers

Answer:

181

Step-by-step explanation:

Hope this helps!

Question 1 Consider the equation 8x + 4y = 64. If we graph the equation, what is the slope of the graph? ​

Answers

Answer:

The slope is 2

Step-by-step explanation:

Below is the augmented matrix using the standard form of a quadratic equation that can help you write the quadratic equation going through the 3 points: \large \text{(-1,11) } \large \text{(1,5)} and \large \text{(2,11)} Hint: standard form \large ax^2+bx+c=y

Answers

Answer:

1.23

Step-by-step explanation:

123

The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?

Pls help!

Answers

Answer:

5 7th Graders

Step-by-step explanation:

Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders

12. Carlos charges c dollars per hour for landscaping services. If he increases
his rate by 25%, which expression represents his new rate, in dollars per hour?
A. C +0.25
B. c + 25
C. C +0.25c
D. C + 25c

Answers

The answer is A. Thanks for asking :)

solve the question please

Answers

Can’t see anything sorryyyyyy

can you help me please with my homework​

Answers

We need the graph to be able to see the points and figure it out

choose the equation that represents the graph below A. y = -2x - 4 B. y equals 2x + 4 C. y equals -2 + 4 D. y = 2x - 4​

Answers

the answer is a. you can find this by looking at where the line touches the y axis, in this case the line touches as -4 so that’s our y intercept. then to find the slope you find two points that intersect at a coordinate and do rise over run. in this case we’ll use the points (0,-4) and (-2,0). from (0,-4) we go up two and left one to get to point (-2,0). note that if the line points left, the slope will be negative. once you put the parts together you get the equation y=-2x-4

Determine the domain, range and whether each table represents a function.​

Answers

The domain is the possible x values- so it is 1,2,3 .
The range is the possible y values- which are 4,6,8 .
Yes it does represent a function because each element of X is related to ONE element of y.

Hope that helped!
Domain = {1,2,3}Range = {4,6,8}This is a function

==========================================================

Explanation:

The domain is the set of all possible x values. The range is the set of all possible y values.

Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.

which equation shows the point-slope tor of the line that passes through (3, 2) and has a slope of 1/3
Y+ 2 = 1/3 (x + 3)
y -2 = 1/3 (x-3)
y+3 = 1/3 (x+3)
y - 3 = 1/3 (x - 2)

Answers

Answer:

y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus

y - 2 = [tex]\frac{1}{3}[/tex](x - 3)

Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .

To Find : The equation of that line .

Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;

[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]

Where ,

a is x - coordinate.b is y - coordinate .m is the slope of the line .

Here ,

a = 3 b = -2m = ⅓ .

Now , put the respective values ;

[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]

how long will it take you to drive 135 miles at a speed of 45 miles per hour?​

Answers

Answer:

3 hours

Step-by-step explanation:

divide 135 by 45 to get your answer

2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?

Answers

Answer:

The correct calculation is 180 - 56

Step-by-step explanation:

From the question, we have DCG and DCF

looking at the diagram, we can see that both lie on a straight line and are a linear pair

So the addition of both will give 180

But DCG is 56

So;

DCF + 56 = 180

So;

DCF = 180 - 56

pls help this is due today

Answers

Answer:

50.137

Step-by-step explanation:

You can split the triangle into two triangles both with base 3 and height 12

The area of the two triangles is

[tex]2 * (1/2) * B * H\\B*H = 3* 12 = 36[/tex]

The area of a circle is [tex]\pi r^2[/tex]

so the area of the semi circle with r(adius) 3 is

[tex]\pi r^2/2\\9\pi/2[/tex]

[tex]9\pi/2 + 36 = 50.137[/tex]

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

Answer: W= 131 and H =98
i don’t know it. ( pls pls pls don’t report me it was a joke )

w=131
h=98

need help with slope ​

Answers

X-Intercept: (0,100)

Y-Intercept: (-250,0)

a worker uses 450 inches of steel wire to make 300 springs of the same size. at this rate how many inches of steel wire are needed to make 1 spring?

Answers

Answer:

D

Step-by-step explanation:

You divide the 450 inches of steel by the 300 springs to get 1.5 or 1 1/2

a trick to have a better idea is that if the number that is being divided is larger than the number you are dividing by, the answer will always be greater than one.

Population density is the number of people per unit of area. The population density of a certain region
is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region

Answers

Answer: 1380

Step-by-step explanation:

We have been given that population density is the number of people per unit of area.

Therefore, the population of the region would be 1380 people.

 

6
13 Which statement about ş multiplied by 4 must be true?
The product is between 6 and 7.
B
6
The product is less than
7.
6
The product is between 5 and 4.
The product is greater than 4.

Answers

The product is greater than 4

What is the value of 9.6 dived by 1.2

Answers

Answer:

8

Step-by-step explanation:

1.2 * 8 = 9.6

A line is represented by the equation y=3x+5. what are the coordinates

Answers

The 3x is the x axis and the y is 5 so it would be (3,5).

Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?

Answers

Answer:40 miles

Step-by-step explanation:

5*4=20

20*2=40

Answer:

40 miles

Step by Step Explanation:

Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)

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