14
21
James and Elizabeth buy some clothes,
James buys 5 shirts and 4 jumpers. He pays £163.
Elizabeth buys 3 shirts and 2 jumpers. She pays £29.
Assume that each shirt has the same cost and that each jump
Work out the cost of one shirt and the cost of one jumper.
You must show your working.

Answers

Answer 1

Answer:

Jumper, y = 172

Shirt, x = - 105

Step-by-step explanation:

Let :

Shirt = x

Jumper = y

5x + 4y = 163 - - (1)

3x + 2y = 29 - - - (2)

Multiply (1) by 3 and (2) by 5

15x + 12y = 489 - - - (3)

15x + 10y = 145 - - - (4)

Subtract :

12y - 10y = 489 - 145

2y = 344

y = 344 / 2

y = 172

Put y = 172 in (3)

15x + 12(172) = 489

15x + 2064 = 489

15x = 489 - 2064

15x = - 1575

x = - 105

The values ;

Jumper, y = 172

Shirt, x = - 105

We weren't supposed to obtain a negative value, kindly check if the parameters given are correct.


Related Questions

The preschool class has 18 students in the 3 year old class.what is the ratio of students per teacher rounded to the nearest whole number.

Answers

Answer:

The answer is 6

Step-by-step explanation:

The answer is right because of 2 things!

1. I did it on paper and me is smart

2. because 18 divided by 3=6 because 6x3=18 so that is how you get your answer!!!

THANKSSS :D

Suppose a system of 2 linear equations has one solution. What must be true about the graph of the 2 equations

Answers

Answer:

They are intersecting lines.

Step-by-step explanation:

Parallel lines do not intersect and have no common solution. The same line has infinite solutions with itself. Anything else must be intersecting lines.

Plz help I will give brainliest to the best answer! Plz plz help btw only question 2

Answers

Answer:

The area would be 87.5

Step-by-step explanation:

Find the solution(s) to the system of equations. Select all that apply.
y=x-4
y = 2x- 5

Answers

Answer:

Y

Step-by-step explanation:

The Sine Function

Choose the graph of the following function:
f(x) = -2 sin (1/3 x)

a. Graph A
b. Graph B
c. Graph C
d. Graph D

Please select the best answer from choices provided

Answers

Answer:

B. Graph B

Step-by-step explanation:

I calculated it logically

Is the point (4,11) a solution to the following system of equations? How do you know?
y=2x+14
y=3x−5

Answers

No because when you plug in the ordered pair to either equation it doesn’t work. Y=2x+14 would go to 11=2(4)+14 and you would get 11=22 which is wrong. Again with y=3x-5 would be 11=3(4)-5; 11=7 which is wrong again.

FIRST TO ANSWER GETS BRAINLYEST WHATEVER ITS CALLED, PLEASE I NEED THIS DONE TODAY. JUST LOOK AT THE PICTURE

Answers

Answer:

28.83

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest

Answers

Answer:

5280

Step-by-step explanation:

Hope this helps!


2. A red ribbon is 41m long and a blue
ribbon is 97m long
What is the total length of the ribbons?
s​

Answers

You would add the length of both ribbons, so your answer is 138m

Answer:

138

Step-by-step explanation:

because 41 + 97 is 138

How many dollars in interest are earned in two years on a deposit of $10,000
invested at 4.5% and compounded annually? Express your answer to the nearest cent.

Answers

Answer:

$900

Step-by-step explanation:

I=PRT

=10,000×(4.5/100)×2

Which of these equations has NO solution? A. 3 ( 2 x + 7 ) = 6 ( x + 4 ) − 3 B. 3 ( 6 x − 5 ) = 3 ( 6 x − 5 ) + x C. 8 ( x − 3 ) + 14 = 2 ( 4 x + 5 ) D. 13 x − 7 = 12 ( x − 1 ) + x + 5

Answers

Answer:

B ig

Step-by-step explanation:

A: 3(2x+7) = 6(X+4) - 3

<=> 6x+ 21 = 6x + 24 - 3 = 6x + 21

<=> 0 = 21 - 21 = 0

B: 3(6x-5)= 3(6x-5)+x

<=> 18x-15= 18x - 15 + x = 19x - 15

<=> 0 = x

C: 8(x-3) + 14= 2(4x+5)

<=> 8x - 24 + 14 = 8x - 10 = 8x + 10

<=> 0 = 0

D: 13x - 7 = 12( x - 1) +x + 5

<=> 13x - 7 = 12x -12 + x + 5 = 13x - 7

<=> 0 = 0

A number,M, is rounded to 1 decimal place. the result is 9.4 complete the error interval for M​

Answers

Answer:

[tex]9.35 \le M \le 9.45[/tex]

Step-by-step explanation:

Given

[tex]M = 9.4[/tex] to 1 d p

Required

The error interval

The error interval is represented as:

[tex]Lower \le M \le Upper[/tex]

Where

[tex]Lower = M - 0.05[/tex]

[tex]Upper = M + 0.05[/tex]

So, we have:

[tex]Lower = M - 0.05[/tex]

[tex]Lower = 9.4 - 0.05[/tex]

[tex]Lower = 9.35[/tex]

[tex]Upper = M + 0.05[/tex]

[tex]Upper = 9.4 + 0.05[/tex]

[tex]Upper = 9.45[/tex]

Hence, the error interval: [tex]Lower \le M \le Upper[/tex] is:

[tex]9.35 \le M \le 9.45[/tex]

What is shrinkage in Accounting?

Answers

9514 1404 393

Explanation:

Shrinkage is the loss of inventory from causes other than normal use or sales. It is the difference between the inventory on the books and the amount of inventory actually available for use. Typical causes of shrinkage are theft, damage, fraud, counting error, administrative error.

PLEASE PLEASE HELP

what is the slope of the line

A. 0
B. 1
C. -2
D. no slope ​

Answers

Answer:

a.0

Step-by-step explanation:

The slope of any horizontal line is 0

Answer:

A, 0

Step-by-step explanation:

The slope of a line is Change in Y / Change in X. This line is parallel to X-axis, meaning the Y will always be the same. This means that the change in y is 0, meaning the slope is 0 / Change in X, which is 0.

Please help geometry is so hard please

Answers

YES IT IS SO HARD

I DONT EVEN KNOW IT MYSELF LOL xD

i don’t know it either sorry

Two houses on the same side of the street have house numbers that are consecutive
even integers. The sum of the integers is 58. What are the two house numbers?

Answers

Answer:

28 and 30

Step-by-step explanation:

'x' = 1st consecutive #

'x+2' = 2nd consecutive #

x + x+2 = 58

2x + 2 = 58

2x = 56

x = 28

x+2 = 30

Jamie will plot (9, 5) on a coordinate plane. She knows the last step is to put a point where two lines intersect. Which two steps should she use first

Answers

Answer:

i got g

Step-by-step explanation:

Answer:

Step-by-step explanation:

G and h

Which three-dimensional solid could be represented by this net?

Answers

Step-by-step explanation:

triangular prism or a pyramid_____________

Which statement is true?
- A checking is account is where you want to keep all of your money for spending and saving,
-A checking account is where you want to keep your spending money and a savings account is
where you want to keep your savings
-A checking account is where you want to keep your savings and a savings account is where you
want to keep your spending money,
A savings account is where you want to keep all of your money for spending and saving.

Answers

Answer:

B

Step-by-step explanation: The checking account is the account that you write checks out of, and the savings account is self explanatory, you put your savings there

Answer: B

Step-by-step explanation:

Checking accounts are used for spending. Savings limit your withdraws and give you some money back in a small % interest, typically at the end of a year term.

PLEASE HELP ASAP ILL GIVE BRAINLIEST AND A THANKS!

Answers

Answer:

28.27cm would be your answer :)

Answer:

28.26 cm²

Step-by-step explanation:

3² = 9

9 x 3.14 = 28.26

8x+152=224 Please help! (Show your work!)​

Answers

Answer:

[tex]8x + 152 = 224 \\ 8x = 72 \\ x = 9[/tex]

Please helppp!!!!!!!!!

Answers

9514 1404 393

Answer:

  $705.78

Step-by-step explanation:

Put the given numbers in the formula and do the arithmetic.

  P = $300, r = 0.13, n = 1, t = 7

__

  A = $300.00(1 + 0.13/1)^(1·7)

  A = $300·(1.13^7) ≈ $300·2.35260548

  A = $705.78

There will be $705.78 in the account after 7 years.


The expression below represents the distance between two points on a number line.
|-5 – 4|
Which number line shows the two points?

Answers

Answer:

A

Step-by-step explanation:

|-5 - 4|

The expression represents the absolute value of - 5 - 4 ;

-5 - 4 = - 9

|-5-4| = 9

Hence, the distance between the two points is 9.

Hence, the number line which shows the two points is A.

what’s the value of x ?

Answers

Answer:

x=70

Step-by-step explanation:

Because these angles are on the opposite sides of each other, they have to add up to 180. This will make the equation 2x-5+45=180. Simplify this to get 2x+40=180. Subtract 40 from both sides to get 2x=140. Divide each side by 2 to isolate x. x=140/2. Simplify this to get x=70.

If this helps please mark as brainliest

I saw the first person answer so I’m not sure if my answer correct the answer is 1

Is (x + 2) a factor of x + 6x2 + 3x – 10?

Answers

Answer:

no

Step-by-step explanation:

6x² + 4x - 10 in factored form is:

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

Answer:

Assuming that you actually mean that if [tex](x+2)[/tex] is a factor of [tex]x^{3}+6x^{2}+3x-10[/tex], the answer is yes.

Step-by-step explanation:

We need to do long division of the polynomial to figure out if this is true. I would show it here, but it is extremely difficult to do so. (Maybe someone could help me.) When I factor it, it does not leave a remainder, so this is true.

[tex]x^{3}+6x^{2}+3x-10= (x+2)(x^2+4x-5)[/tex]

Another way one could figure this out is by graphing the equation [tex]x^{3}+6x^{2}+3x-10[/tex] on your graphing calculator or on just a graphing website, lake Desmos. The screenshot below shows the graph.

The polynomial will have a factor of [tex](x-c)[/tex] if the point [tex](0,c)[/tex] exists on the graph. The graph has the following three zeroes.

[tex](0,-2)[/tex], [tex](0, -5)[/tex], and [tex](0,1)[/tex]

As such, it has the three factors [tex](x-(-2))[/tex], [tex](x-(-5))[/tex], and [tex](x-1)[/tex].

Since [tex](x-(-2)=(x+2)[/tex], it is a factor of the polynomial.

Reggie needs 24 feet of rope to make a tire swing. He has 10 yards of rope. Is this enough for him to make his swing? Explain.

Answers

Answer:

8 yards < 10 yards

He has enough.

Step-by-step explanation:

1 yard = 3 feet

y yards = 24 feet

[tex]\frac{1}{3} :\frac{y}{24}[/tex]

y · 3 = 1 · 24

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

24 feet = 8 yards

8 yards < 10 yards

aaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhhhhh

Answers

Answer:

mood

Step-by-step explanation:

Darren brought $34.00 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1 3 as much as the souvenir, and the souvenir cost 1 2 the cost of the pass. Darren had $1.50 left over after buying these items. What was the cost of each item?

Answers

Answer:Cost each item is : Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .

Step-by-step explanation:

Here we have , Danny brought $43.00 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1/4 as much as the souvenir, and the souvenir cost 2/3 the cost of the pass. Danny had $4.50 left over after buying these items. We need to find What was the cost of each item . Let's find out:

Let value of pass is x ! So , the souvenir cost 2/3 the cost of the pass i.e.

⇒  

Now , The burger was 1/4 as much as the souvenir i.e.

⇒  

⇒  

Total Cost = $43 , According to question we have following conditions :

⇒  

⇒  

⇒  

⇒  

⇒  

⇒  

Therefore , Cost each item is : Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .

Step-by-step explanation:

1) Maggie has 7 bills, all tens and twenties, that
total $100 in value. Find the number of tens, x, and
the number of twenties, y, that Maggie has.

Answers

Number of Twenties- 3
Number of Tens- 4
There would be 3 Twenties and 4 Tens in total

- What is the volume of a square pyramid with height 15m and slant height 17m?
A 85 m2
B 320 m2
C 1280 m2
D 3840 m2

Answers

Answer:

c ) 1280 m^3

here,

slant height (s)= 17m

vertical height ( h)= 15m

length (a)= ?

so,

s^2 = (a/2)^2 + h^2

(17)^2 = (a/2)^2 + 15^2

64 = (a/2)^2

8^2= (a/2)^2

8×2 = a so a = 16

Now we know

volume of pyramid

= 1/3 × a^2 × h

= 1/3 × 16^2 × 15

= 1/3 × 256 × 15

= 1280 m^3

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