Two brothers went shopping at a back to school sale where all shirts and shorts are the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Write the system of equations for this problem.

Answers

Answer 1

Answer:

Each shirt costs $ 10, while each short costs $ 15.

Step-by-step explanation:

Since two brothers went shopping at a back to school sale where all shirts and shorts are the same price, and the younger brother spent $ 175 on 7 new shirts and 7 pairs of shorts while the older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $ 165, to determine the price of each shorts and each shirt the following system of equations must be considered:

Shirt = X

Short = Y

7X + 7Y = 175

6X + 7Y = 165

7X - 6X + 7Y - 7Y = 175-165

X = 10

7x10 + 7Y = 175

70 + 7Y = 175

7Y = 175 - 70

Y = 105/7

Y = 15

Thus, each shirt costs $ 10, while each short costs $ 15.

Answer 2

Answer:

 

3x + 4y =108

7x + 5y =114


Related Questions

HELP ME PLEASE!!!!
I WILL GIVE BRAINLIST!!!!

Answers

Answer:

1/6

Step-by-step explanation:

The answer is A. 1/2
There are 3 odd numbers on the die and 6 total numbers on the die so the answer is 3/6 and when you simplify it. It becomes 1/2

Can anyone help please? No links cause I can’t see them.

Answers

Answer:

Step-by-step explanation:

you have a right triangle with the hypotenuse of 41 and another side of 40

a=[tex]\sqrt{41^2-40^2}[/tex]=[tex]\sqrt{1681-1600}[/tex]=[tex]\sqrt{81}[/tex]

a=9

A picture is mounted on a frame measuring 25 centimeters by
15 centimeters. It has a border of 3 centimeters round it. Find the area
and perimeter of the picture.
25 cm
13 cm
A=kW
P-HIWAW
3 cm
picture 3 cm
115 cm
13 cm
cm

Answers

Answer:

I think it's 1,125 and 4485

Step-by-step explanation:

25x13x3

115x13x3

Use special right triangles.
Find the exact value of x and y.
18
30°
X = ?
y = ?

Answers

x=18 y=30 you are welcome

is going to plant y vegetable seeds in one garden and 3y+8 vegetable seeds in another. How many seeds is Frank going to​ plant?

Answers

Answer:

4y + 8 vegetable seeds

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

We know that Frank has 2 gardens, one with y vegetable seeds and another with 3y + 8 vegetable seeds. If we are trying to find the total amount of seeds planted, we must add the 2 gardens together:

Garden 1: y

Garden 2: 3y + 8

Garden 1 + Garden 2 = Total veggie seeds

y + 3y + 8 = Total veggie seeds

Total veggie seeds = 4y + 8

8k + 4 - 11k + 9 show work please

Answers

-3k+13 or 3k-13 . -11+8 equals 3. 9+4 equals 13

Answer:

8+4−11+9

8+13−11

8+13−11

−3+13

^^^

Step-by-step explanation:

0.03858 *0.02 leaving your answer I’m a standard form

Answers

Answer:

0.0007716

Step-by-step explanation:

0.03858 × 0.02 = 0.0007716

Find the range of the data.

6, 8, 14, 4, 26, 24, 2, 4, 18, 9

Answers

24
Subtract minimum from maximum
26-2=24

hi pls send help
-
brainlist to best answer

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hi!

We will have to plug everything in to solve this!

So...

A. -3 * 2 > 6

-6>6 (WRONG)

B. 2 * 2 > 6

4>6 (WRONG)

C. 3 * 2 > 6

6>6 (WRONG)

D> 5 * 2 > 6

10>6 (CORECT)

Hope this helps :)

P.S. the star (*) stands for the multiplication sign!

The polygons are similar. but they are not necessarily drawn to scale. Find the value of x

Answers

Answer:

x=9

Step-by-step explanation:

Since the polygons are similar, the ratios of their respective sides are equal.

32/24=(x-1)/6

x-1=8

x=9

need help horribly geometry question

Answers

Answer:

23.31 ft

Step-by-step explanation:

Reference angle = 47°

Opp = 25 ft

Adj = x

Apply trigonometry ratio TOA:

Tan 47 = Opp/Adj

Tan 47 = 25/x

x*Tan 47 = 25

x = 25/Tan 47

x = 23.3128772 ≈ 23.31 ft (to 2 d.p)

You need to buy enough sand to fill a sandbox to the top. The sandbox is modeled by the right rectangular prism in the diagram. How much sand do you need to buy?

A) 69 cubic feet B) 70 cubic feet Eliminate C) 79 cubic feet D) 80 cubic feet

Answers

Answer:

D is the best choise

Step-by-step explanation:

I need help with this right now before it’s due
Grapes

Answers

Answer:

21, 6, 12

Step-by-step explanation:

your welcome:)

14:7, 42:21, 6:3, 12:24
14/7=2
42:2=21
3•2=6
24/2=12
Missing numbers are: 21,6 and, 12

The human resources department of an engineering company gives IQ tests to a randomly selected group of new hires every year. They claimed that the mean IQ score of new hires, , from this year is greater than or equal to the mean IQ score of new hires, , from last year. This year, 95 new hires took the test and scored an average of 112.2 points with a standard deviation of 14.0 . Last year, 70 new hires took the IQ test and they scored an average of 117.8 points with a standard deviation of 14.5 . Assume that the population standard deviation of the IQ scores from the current year and the last year can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. Is there enough evidence to reject the claim of the human resources department, at the 0.01 level of significance

Answers

Answer:

Step-by-step explanation:

Null hypothesis: [tex]\mathbf{H_o: \mu_1 \ge \mu_2}[/tex]

Alternative hypothesis: [tex]\mathbf{H_o: \mu_1< \mu_2}[/tex]

This type of test statistic is a z test statistics

                                                                             1st             2nd

Sample mean x =                                                112.2          117,8

Standard deviation σ =                                       14.0            14.5

Sample size n =                                                    95              70

Point estimate [tex]\bar x_1 - \bar x_2[/tex] =                                                      -5.60

Standard error [tex]\sigma_{x_1-x_2}= \sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2} }[/tex]

                                      [tex]= \sqrt{\dfrac{14.0^2}{95} +\dfrac{14.5^2}{70} }[/tex]                      = 2.2509

Test statistics      [tex]z=\dfrac{x_1 - x_2}{\sigma_{x_1-x_2}}[/tex]    [tex]=\dfrac{112.2- 117.8}{2.2509}[/tex]              = - 2.4878

                                       

P-value = 0.012

No, there is no enough evidence Since p-value is greater than 0.01.

(7) Kade purchased 2 gallons of chocolate milk. Malia purchased 6 quarts of chocolate milk. How much more chocolate milk?

Answers

You would have 12 quarts of chocolate milk o think like I did was home sit in to isthimk

Caroline saves money in an arithmetic sequence: $350 the first year, another $550
the second, and so on. How much money does she save after 31 years?

Answers

Hi the answe is actually 762

Which of the points shown below are on the line given by the equation y = 2x?
Check all that apply

Answers

D, I think
If not I am so sorry

I need to do this class soon, please help me

Answers

Answer:

Step-by-step explanation:

18. x + 25 = 55

     x = 30

19. 2x - 5 = 95

     2x = 100

      x = 50

20. 3x - 22 = 2x + 26

     x - 22 = 26

     x = 48

21. 3x - 18 + 105 = 180

    3x + 87 = 180

    3x = 93

      x = 31

22. 19x + 17x = 180

      36x = 180

       x = 5

   27(5) = 135

23. 5x + 40 + 2x = 180

7x + 40 = 140

7x = 140

x = 20

5(20) = 100

2(20) = 40

5(20) + 40 = 100 + 40 = 140

The map of a trail is shown below. Find the value of x.

Answers

16+23=39

180-39=151

Answer:

151

assistance with trying to figure out how to solve this question.

Answers

Answer:

137.24 mm²

Step-by-step explanation:

Big square = 9x9=81

Small rectangle at bottom = 2x3=6

Quarter Circle = 1/4(3.14)(8)(8)=50.24

81+6+50.24=137.24

A figure with 6 edges.
How many edges does this figure have?

It has
edges.

Answers

Hexagon has six edges. The figure you're trying to figure out is hexagon I guess.

Factorise the expressions and divide them as directed.​

Answers

Ok. These are the answers. Tell me if you didm't understand my writing.

classify the segment in each part below. only use the information given in the figure do not assume measures are equal unless the markings indicate they are

Answers

Answer:

i dont know i just need points for more questions sorry

Step-by-step explanation:

Pat is walking to a restaurant 6 blocks away. Pat has walked 2 blocks in 7 minutes. How many more minutes to reach the restaurant?

Answers

Answer:

14 minutes

Step-by-step explanation:

6÷2=3

3×7-7=21

AD is the perpendicular bisector of BC.
BD = 5x – 10 and DC = 3x + 10.
Determine the value of x.

Answers

5x-10= 3x+10

5x-3x= 10+10

2x÷2= 20÷2

x= 10

Step-by-step explanation:

as AD bisects them they will be two equal parts so

5x-10=3x+10

5x-3x=10+10

2x=20

divide both sides by 2 and

x=10

Giving everything. Plzz help.

Answers

The answer in this picture is B(143)

Answer:

A

Step-by-step explanation:

180 _80 =100

180_65= 115

180_72 = 108

Then :

108 + 115 + 100 = 323

Then :

360 _ 323 = 37

Then :

180 _37 = 143

X _7 =143

X =150

Complete the explanation for how you could find the number of seconds in one full 24-hour day-
Then solve.

You would multiply 24 hours by _____ minutes and then multiply my answer by _____
Seconds.

There are ____ seconds in one full day

Answers

Answer:

Step-by-step explanation:

You would multiply 24 hours by 60 minutes and then multiply my answer by

60 Seconds.

There are 86400 seconds in one full day

capacity, but only to
Holly has a hard drive that she uses to store her digital music. The hard drive has a 500-megabyte total storage
7
of the hard drive's capacity is free.
10
What amount of the hard drive in megabytes has Holly used to store her digital music?

Answers

Answer:

350

Step-by-step explanation:

What is the next number in the sequence -16, -6, 4, 14

Answers

Answer

24

Step-by-step explanation:

you are adding by 10

-16+10=-6

-6+10=4

4+10=14

14+10=24

The next number in the sequence is 24 as you add 10

Sam wants to buy a watch that cost $188. This is $48 more than 4 times
he sved last month. How much dia he save last month? *

Answers

Answer:

$35

Step-by-step explanation:

188-48 gives you the 4x what he saved

140/4 gives you the total which is 35.

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