Mathematics High School

In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats are $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?

Answers

Answer 1

Answer: Given:

4 shirts, 4 pairs of trousers , and 2 hats is $560

9 shirts, 9 pairs of trousers , and 6 hats is $1,290

1) Let x be the price of 1 shirt

Let y be the price of 1 pair of trousers

Let z be the price of 1 hat

2) 4x + 4y + 2z = 560

3) 9x + 9y + 6z = 1,290

4) (9x + 9y + 6z) / 3 = 1,290 / 3

3x + 3y + 2z = 430

5)

4x + 4y + 2z = 560

- (3x + 3y + 2z = 430)

x + y = 130

6) 3(x+y) + 2z = 430

3(130) + 2z = 430

390 + 2z = 430

2z = 430 - 390

2z = 40

z = 40/2

z = 20

7) x = price of 1 shirt; y = price of 1 pair of trousers ; z = price of 1hat

x + y = 130 ; z = 20

130 + 20 = 150

The price of 1 shirt, 1 pair of trousers, and 1 hat is $150.

So this is not impossible!

-chiyoku toga

Answer 2

Answer:

hey

Step-by-step explanation:

Related Questions

what is 314.16 rounded to the nearest hundredth

Answers

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

Hey can somebody get this for me been stuck for five min

Answers

Answer:

3

Step-by-step explanation:

it might be a semicolon instead of a comma I guess

I believe it is 1 because you might needa put a comma there.

plz answer only if u know ur correct

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

Slope is 1/2

Step-by-step explanation:

Points (10,20) (30,30)

Y2-y1/x2-x1

30- 20/30-10

10/20

1/2

Graph the line.
Y=-3/4x+1

Answers

Step-by-step explanation:

the answer is in the attachment

Pls answer..............

Answers

Answer:

b is correct

Step-by-step explanation:

B is the right answer I think!

3(2t — 6)> -2(3t - 9)

please help!!!!!

Answers

Answer:

t > 3

Step-by-step explanation:

3(2t - 6) > -2(3t - 9)

Distribute

6t - 18 > -6t + 18

+6t          +6t

12t - 18 > 18

     +18     +18

12t > 36

divide both sides by 12

t > 3

hope this helps!!!

What is the greatest common factor of the polynomial below?

30 x -20

A. 5x
B. 10x
C. 5x?
D. 10%

Answers

Heyy I'm not sure if I'm right

12x^4 + 2x^3 - 30x^2

to find the GCF, let's first look at the coefficients.....the GCF of 12,2,and 30 is 2.

as for the variables....pick the one with the smallest exponent...and that would be x^2

so the GCF of this polynomial is 2x^2 <=

I really need help..!

Answers

Answer:

B: 1/6

Step-by-step explanation:

make 1/4 to 3/12. 7/12 + 3/12 is 10/12. So the green is 2/12. 2/12 simplified is 1/6.

Answer:

B

Step-by-step explanation:

7/12=53%

1/4=25%

the remaining would be 16 % ad 1/6 is 16%

Find the equation of the line shown

Answers

Y = x + 6 is the correct answer

if someone could please help me on this it would be amazing thank you so much

Answers

Answer:

7 cm squared

Step-by-step explanation:

not sure if its right but thats what i got round up to

2. help me i will give you brainliest

Answers

Answer:

B

Step-by-step explanation

If you do a squared plus b squared you’ll get c squared. It the Pythagorean theorem. It’s really easy the answer is 39

Patrick is x years old . His brother is 9 years older than he is .If his brother is y years old, express y in terms of x

Answers

Answer:

y = x + 9 ( in years)

Step-by-step explanation:

Given that Patrick is x years old and his brother is 9 years older than he is. Then;

His brother's age will be

= x + 9

If his brother is y years old then

y = x + 9

Since y is the subject, y has been expressed in terms of x. Where y is the age of Patrick's brother and x is Patrick's age.

-21 – 5q = -6 what is q

Answers

Answer:

q = -3

Step-by-step explanation:

-21 - 5q = -6

add 21 to both sides

-5q = 15

divide both sides by -5

q = -3

hope this helps!

q equals -3
hope this helps

Can anyo help me thanks

Answers

Answer:

(-3, -5)

Step-by-step explanation:

We will multiply (6a -2b = -8) by -3, and (a - 3b = 12) by 2

Thus,

-18a + 6b = 24

2a - 6b = 24

=

-16a = 48

a= -3

Then we'll substitute,

-18(-3) + 6b = 24

54 + 6b = 24

6b = -30

b = -5

(-3, -5)

The system of equations below is only true if x=
and y=
x - 2y = -6
3x - y = 7

Answer choices for variables
4, 5, 13, 20

Answers

The system of equations is only true if x= 4 and y= 5

Work:
4-2(5)= -6
4-10= -6
-6 = -6

3(4)-5= 7
12-5= 7
7= 7

Answer: x=4 y=5

Step-by-step explanation: cuz I’m smart like dat I’m built different

Using a calculator, work out:
V2704 * 2^2– V49

Answers

Answer:

201

Step-by-step explanation:

The computation is shown below:

Given that

[tex]= \sqrt{2704} \times 2^2 - \sqrt{49}[/tex]

= 52 × 4 - 7

= 208 - 7

= 201

Here we assume that V denotes the square so according to this we solve the given situation

After solving this, the answer is 201

Natasha found that the 14 inches from her knee joint to her hip joint was
1/4 her total height. What was Natasha's total height in inches?

Answers

14 (inches) times 4 = 56 inches which would be 4.6 feet tall

Answer:

56 inc

Step-by-step explanation:

Write an equation for the following sentence:
The sum of three times a number and 7 is 20.

Answers

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

y=1/3x-2
what would be y? and how to solve?
x y
-3 ?
0 ?
3 ?
6 ?

Answers

Y-intercept would be (0,-2)

The equation of a line in
slope-intercept form
is.
∙
y
=
m
x
+
b
where m represents the slope and

×
×
b, the y-intercept.
y
=
1
3
x
−
2
is in this form.
⇒
slope
=
1
3
and y-intercept
=
−
2
plot the point
(
0
,
−
2
)
using the slope, from -2 go up 1, across 3 to the right and

mark the point, that is (3,-1). Repeat for another point.

and draw a straight line through the points

graph{1/3x-2 [-10, 10, -5, 5]}

1. Hayley designed and sold 35 hats for $11 each. She spent $200 on making the hats. How much profit did she make? show an complete answer and how you solved it.

Answers

Answer:

185

Step-by-step explanation:

11×35=385-200= 185

On a coordinate plane, a straight dashed line with equation y greater-than 2 x minus 4 has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the left of the line is shaded. Which of the points are solutions to the inequality? Check all that apply. (–2, –5) (0, –4) (1, 1) (3, 5) (5, 5)

Answers

The answer to your question would be A,C,D

Hope I helped ~~Laurel

Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much of the pot is left over? PLS HELP I HATE MATH

Answers

Answer:

3/4 of the pot left.

Step-by-step explanation:

If the mom eats a 1/12 of the pot and then the brother also eats a 1/6 of the pot, then it is 9/12 left of pasta still. The reason for that is since 1/6 is equivalent to 2/12 so 1/12 plus 2/12 is 3/12, and if u subtract 3/12 from 12/12 it will give you 9/12 which can be simplified to 3/4 left of the pot.

Answer:

3/4 of the pot is left over

Step-by-step explanation:

find the least common denominator- in this case 121/12 and 2/12= 3/123/12-12/12=9/129/12=3/4 by simplfying

2/5 (s + 20) help please

Answers

Answer:

2/5s+8

Step-by-step explanation:

2/5(s+20)

=(2/5)(s+20)

=(2/5)(s)+(2/5)(20)

=2/5s+8

Find the distance between K(9, 2) and L(-3, 9) to the nearest tenth.

Answers

Answer:

13.9

Step-by-step explanation:

d = √[(-3-9)²+(9-2)²]

= √[144+49]

= √194

= 13.9

Answer:

13.9

Step-by-step explanation:

Is 1/8 closer to 1/2

Answers

Answer:

What is the fraction compared to?

simplify assume that no denominator is equal to zero!! please help!!

Answers

The right answer would be the last one
-40 h^3 i^4 j^7

What is the highest common factor of 72 and 90

Answers

Answer:

18

Step-by-step explanation:

what’s the equation for this table?

Answers

It’s y=x+5 because your y starts at 5

Can someone help me do this question?
It’s solving equations

I will give you brainliest and 100 point

Answers

3(-2x-1)=2(x+5)

-6x-3=2x+10

-8x=13

x=-13/8

X=5 I kind of did this by trail and error but here’s my working outs
5-4=1
3/1=3
5-2=3

A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 2ft and a radius of 5ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be 8572.20. How much will the metal cost per square foot? Use 3.14 for pi, and do not round your answer.

Please give an understandable step-by-step explanation. Thank you !!

Answers

Answer:

$39 per square foot.

Step-by-step explanation:

The cylinder has a height of 2 feet and a radius of 5 feet.

The total cost of the metal will be (assuming US dollars) $8572.20.

And we want to determine the cost per square foot.

First, we can find the surface area of the cylinder. The surface area for a cylinder is given by the formula:

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where r is the radius and h is the height.

Since the radius is 5 feet and the height is 2 feet and using 3.14 for π, the surface area is:

[tex]SA=2(3.14)(5)^2+2(3.14)(5)(2) =219.8\text{ feet}^2[/tex]

Therefore, to find the cost of metal per square foot, we can divide the total cost over the amount of surface area. Hence:

[tex]8572.20 / 219.8= \$ 39 \text{ per square foot}[/tex]

So, the metal costs $39 per square foot.

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