Two pairs of socks and a pair of slippers cost $30. Five pairs of socks and a pair of slippers cost $42. Let u

represent the cost of a pair of socks and let y represent the cost of a pair of slippers.

Identify the system of equations that represents the situation and identify the solution to the system of equation.

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

The information given in the question can be turned into an equation as:

2u + y = 30 ........ i

5u + y = 42 ........ ii

Subtract i from ii

3u = 12

u = 12/3 = 4

A pair of socks cost $4

Since 2u + y = 30

2(4) + y = 30

8 + y = 30

y = 30 - 8 = 22

A pair of slippers cost $22


Related Questions

Find the perimeter and area of this shape

Answers

[tex] \boxed{ \sf{Area \: = 57 \: {cm}^{2} }}[/tex]

[tex] \boxed{ \sf{Perimeter = 34 \: cm}}[/tex]

See workings in the attached picture !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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x and y are two non-zero real numbers such that: x²-y²=15 and x+y=3√5. then x-y=
A. √15
B. √5
C. -3√5​

Answers

Answer:

[tex](x-y)=\sqrt{5}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\x^2-y^2=15\\x+y=3 \sqrt{5}\\Now,\\We\ know\ that,\\If\ x\ and\ y\ are\ two\ real\ numbers,\\Then:\\(x+y)(x-y)=x^2-y^2\\Here,\\Substituting\ (x+y)=3\sqrt{5}\ in\ the\ LHS\ and\ (x^2-y^2)=15\ in\ the\ RHS,\\(x+y)(x-y)=x^2-y^2\\3\sqrt{5} (x-y)= 15\\Hence,\\(x-y)=\frac{15}{3\sqrt{5} } \\(x-y)=\frac{5*3}{3\sqrt{5} }\\(x-y)=\frac{5}{\sqrt{5} } [Cancelling\ 3\ from\ the\ numerator\ and\ denominator]\\(x-y)=\frac{\sqrt{5}*\sqrt{5} }{\sqrt{5} }\\(x-y)=\sqrt{5}[/tex]

Find 18.5% of 500- I couldn’t seem to figure this one out for some reason I dunno

Answers

Answer:

92.5

Step-by-step explanation:

18.5

[tex] \frac{18.5}{100} \times 500 \\ \\ [/tex]

100 times 5 is 500

so 100 is cancelled and 500 becomes 5

therefore 18.5 times 5 is equal to 92.5

Answer:

92 1/2   or   92.5

Step-by-step explanation:

how to solve?

Put it into a percent proportion :D!

Percent proportion is is/of=%/100 or a/w=p/100

The a stands for "part"

and the w stands for "whole"

p stands for "percent"

Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.

Since they did NOT give you what the "is" is, you put the variable "a"

a/   =

Next,

Since it said "of"

You put of underneath the unknown number "is" (a)

a/500=

Now put in the percent

a/500=18.5/100

Now cross multiply!

Then you should get 92.5!

HOPE THIS HELPS :DDD

A housing developer wants to create 45 house lots for every 10 acres of land. All the house lots will be the
same size and shape. Which of these is closest to the amount of land required to create 105 house lots?



A. 11 acres

B. 25 acres

C. 42 acres

D. 63 acres

Answers

Answer:

25 acres

Step-by-step explanation:

25 acres  hope this helps

Answer: B.25 acres because:

105/45=2.3
2.3 x 10= 23
23 is the closest to 25

HELP ASAP!!!!! PLEASE

Answers

Answer: imma say A

Step-by-step explanation: sorry if wrong

what is the least common denominator of the rational expressions below? 1/x^2-4/3x^2+15

Answers

Answer:

3x^2(x+5)

Step-by-step explanation:


[tex]4 \frac{1}{9} + 1 \frac{1}{2} [/tex]
[tex]4 \frac{1}{2} \div \frac{3}{5} [/tex]
need help please​

Answers

Step-by-step explanation:

[tex] \tt{ 1. \: \: 4 \frac{1}{9} + 1 \frac{1}{2}}[/tex]

⇢ [tex] \tt{ \frac{37}{9} + \frac{3}{2} }[/tex]

⇢ [tex] \tt{ \frac{37 \times 2 + 3 \times 9}{18} }[/tex]

⇢ [tex] \tt{ \frac{74 + 27}{18} }[/tex]

⇢ [tex] \tt{ \frac{101}{18}} [/tex]

⇢ [tex] \boxed{ \tt{5 \frac{11}{18}} }[/tex]

---------------------------------------------------------

[tex] \tt{ \: 2. \: \: 4 \frac{1}{2} \div \frac{3}{5}}[/tex]

⇢ [tex] \tt{ \frac{9}{2} \times \frac{5}{3}} [/tex]

⇢ [tex] \tt{ \frac{9 \times 5}{2 \times 3}} [/tex]

⇢ [tex] \tt{ \frac{45}{6}} [/tex]

⇢ [tex] \boxed{ \tt{7 \frac{3}{6}} }[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Kimberly has a job to tile a room 14 x 12 ft with 1 ft square tiles. How many tiles Does he need?

Answers

She needs 168 tiles.

please help and please explain how you got the answer, thank you!!

Answers

Answer:

327

Step-by-step explanation:

[tex]\frac{(3+9)8}{2} (2)+9(11)+8(11)+3(11)+10(11)=96+88+33+110\\ = 327[/tex]

Answer:

60

Step-by-step explanation:

So we have all four side lengths: 8, 3, 10, and 9. Since there's one diagonal side, the best way to solve this is to split the shape in two. So the area of the first shape would be 24 because 8 x 3 is 24. The other one would be different. The side length is 8, so we multiply 9 by 8 and get 72. But since it's a triangle, we have to divide that by 2. Then we get 36. If you add 36 and 24, you get 60. That would be your area.

If u had 693 cats and 593 died

Answers

Answer:

you would have 100 cats left

Please help me with this brainly

Answers

it's C because the floor area is 120 square feet and the walls are 8 feet so if you multiply 120 × 8 you get 960.

Mrs. Pints wrote the volume formula as
“V=Bh”. What does ”B“ represents

Answers

Answer B stands For Base and h stands for Height

PLS HELP ILL GIVE BRAINLIEST AND EVERYTHING ELSEE

Which model is equivalent to 4(2x +4)?

Answers

Answer:

option 4 should be the correct answer


A full glass of water can hold 1/6 of a bottle.
How many glasses of water can be filled with 3 1/2. bottles of water?

Answers

Answer:

21 glasses

Step-by-step explanation:

6 glasses in a bottle

3 x 6 = 18

3 glasses in half a bottle

18 + 3 = 21

Answer:

21 glasses

Step-by-step explanation:

let 'g' = glasses of water

create a proportion, glasses over bottles equals glasses over bottles

1 = g

1/6   7/2

cross-multiply:  1/6g = 7/2

cross-multiply:  2g = 42

g = 21

What is the perimeter of a square with a length of 19 meters?

Answers

The answer is b 38cm

Answer:

76 m

Step-by-step explanation:

If each side has a length of 19 m, then the perimeter is 19m*4 = 76 m

A circle has a radius of 4in what is the area of the circle?​

Answers

Answer:

A≈50.27in²

Step-by-step explanation:

A=πr2=π·42≈50.26548in²

I hope it's help

Answer:

50.24

Step-by-step explanation: 1

C = 4 inches

4 in x 2 = 8

8 x 3.14 = 25.12

Step-by-step explanation: 2

C = 2 x 8 = 16

16 x 3.14 = 50.24

           ~Hope this helps!

      ~Hocus Pocus

WILL GIVE BRAINLIEST IF RIGHT

The graph below shows the relationship between the number of miles traveled and the time.
Which statement about the unit rate of the graph is true?

A. The unit rate is 1.

B. The unit rate is 30.

C. The unit rate is 1/12.

D. The unit rate is 12.

Answers

Answer:

where are the graphs

Step-by-step explanation:

Question Help
Writing Ann's car can go 238 miles on 7 gallons of gas. During a drive last weekend, Ann used
8 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes
if you were given the distance Ann drove last weekend instead of how much gas she used.

Answers

Answer:

272

Step-by-step explanation:

do 238 divided 7 you get 34 then you multiply it by 8

Given :

Writing lan's car can go 238miles on 7 gallons of gas.

During a drive last weekend, lan used

8 gallons of gas.

To find :-

How far did he drive?

Solution :-

According to Question ,

Car can go 238 mi on 7 gallons of gas.

Using Unitary Method ,

On 1 gallon of gas it will go 238/7 mi

On 8 , it will go 238/7*8= 272miles

Hence the required answer is 272 miles.

Can anyone give me the awnser?​

Answers

Answer:

Step-by-step explanation:

You want to reverse the algebra and solve for y. First you want to subtract the 'a' to both sides.

x - a = -2by^2

Divide by -1 on both sides

-x + a = 2by^2

Divide by 2b on both sides

(-x + a)/2b = y^2

Take the square root of both sides

[tex]\sqrt{(-x+a)/2b}=y[/tex]

Help me please thanks

Answers

Answer: P = 79 feet

Step-by-step explanation:

V = (l)(w)(h)

171,114 = (57)(38)(p)

171,114 = 2,166p —> multiply

79 = p —> divide both sides by 2,166

A family purchased tickets to a museum and spent a total of $38.00. The family purchased 4 tickets. There was $1.50 processing fee for each ticket

Answers

Answer:

38/1.50x4=101.33...

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Solve −6x+6−7=2x+8 for x. How would I solve this?

Answers

Answer:

Step-by-step explanation:

−6x+6−7=2x+8

-1-8=2x+6x

8x=-9

x= -[tex]\frac{9}{8}[/tex]

Find Cos b in the triangle

Answers

Answer:

3/5

Step-by-step explanation:

SOHCAHTOA

Cos- adjacent/hypotenuse

adjacent side: 3

hypotenuse: 5

adj/hyp: 3/5

How is the solution of 2y=8 related to the solutions of 2y < 8

Answers

Answer:y=4 and the bottom is boundary point

Step-by-step explanation:

Answer:

y=4 and the bottom is boundary point

Step-by-step explanation:

Find the length of side BC.
Give your answer to 3 significant figures.

Answers

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 significant figures )

There is a guitar that originally costs $249.99. It is on sale for 15% off. You also have to pay 6% sales tax. How much will you pay for the guitar? Please show work!!!

Answers

Answer:

225.24099

Step-by-step explanation:

249.99(0.15) = 37.4985

249.99 - 37.4985 = 212.4915

212.4915(0.06) = 12.74949

212.4915 + 12.74949 = 225.24099

The black triangles are similar. Find the value of x.
27
X
16
18

Answers

Answer:

x=24

Step-by-step explanation:

tell me if you want the steps

Answer:

x=24

Step-by-step explanation:

solve the inequality for x: -2x - 2 - 3
D) x > - 5

Answers

Answer:

Step-by-step explanation:

lets solve the inequality by adding like terms

-2x-5>0 ?

-2x>5

x>-5/2

I had 13 dollars. My mom gave me 10 dollars. My dad gave me 30 dollars. My Aunt, My Uncle, and Grandma gave me 100 dollars. I had another 7 dollars. How much did I have?

Answers

13+10+30+100+7=160 dollars

Answer:

370

13+10+30+100+100+100+7=370

Kate is going to purchase a coat for $38, pants for $45, and 2 pairs of shoes for $34 each. If she has $180 to spend, how much will she have left over after she buys everything she wants?

Answers

Answer:

151

Step-by-step explanation:

38+45+2(34)=151

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