Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points

Answers

Answer 1

Answer:

x=5 and y=16

Step-by-step explanation:

x = number of pants

y = number of shirts

Set up equations:

25x + 14.5y = 357x + y = 21

Set the equations up as a system:

25x+14.5y=357

x+y=21

Steps:

Solve the system by substitution.

(You can also solve this system by elimination.)

25x + 14.5y=  357

x + y = 21

Step 1: Solve x+y=21 for x:

(x + y) − y = (21) − y(Subtract y from both sides)

x = −y + 21

Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:

25x + 14.5y = 357

25(−y + 21) + 14.5y = 357

−10.5y + 525 = 357 (Simplify both sides of the equation)

(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)

−10.5y =  −168

−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)

y = 16

Step 3: Substitute 16 for y in x = −y + 21:

x = −y + 21

x = −16 + 21

x = 5 (Simplify both sides of the equation)

Answer:

x=5 and y=16


Related Questions

PLEASE HURRY, THANK YOU!!!!

Answers

Answer:

58+61=119

180-119=61

61 degrees is the answer

Step-by-step explanation:

180 is the amount of degrees in a triangle.

Subtract all the degrees that are given to you from 180, the resulting number should be your unknown.

180 - 58 - 61 = 61 degrees is your answer.

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Answers

Answer:

[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.

Step-by-step explanation:

Dividing a fraction is the same as multiplying the reciprocal of the second fraction.

[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]

[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex]  Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.

So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .

I hope this makes sense!! ^-^

PLEASE HELP ME GIVING BRAINLEST AND NO LINKS!!!

Answers

Answer:

1.)280 2.)142.5 3.)30

Step-by-step explanation:

Determine the value of x in each figure.
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Answers

Answer:

15°

Step-by-step explanation:

120° and 8x are vertically opposite angles, which are always equal.

=> 8x = 120°

=> x = 120/8

=> x = 15°

help help help help help help help help

Answers

I believe the answer is (3,4)

Helllohello help please if you want -

Answers

3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e

Please please please please help me

Answers

Answer:

for # 1 the answer is B

for the second one i dont know

for the last one the answer is D

Step-by-step explanation:

i need help solving the paint questions ​

Answers

For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)

Sea f(x) = 5x + 3 entonces f(6) = ?

Answers

Answer:

f(6)=33

Step-by-step explanation:

f(6)=5(6)+3

f(6)=30+3

f(6)=33

I need help on this homework

Answers

Linear, 4 is added each time.
Line 4
Explanation
Period

A cake weights 900 g. Paul cuts it in 4 pieces. The biggest piece weighs as much as the 3 other pieces weigh together. What is the weight of the biggest piece?

Answers

Answer:500 g

Step-by-step explanation:

The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.

Answers

Answer:

false

true

true

false

.......

The radius of a sphere with a volume of 4.5 cubic mm is ___ mm.

Answers

Answer: 1.5 mm

Step-by-step explanation:

Answer: r=1.02

Step-by-step explanation:

(3 • 4.5/4•pi)1/2

A population of a city is 30 000 and decreases 3% each year. If this trend continues. what will the population be after 10 years?

Answers

Answer:

22123

Step-by-step explanation:

→ Find the multiplier

3% decrease = 0.97

→ Multiply the population by the multiplier which is to the power of years

30000 × 0.97¹⁰ = 22122.7 = 22123

WILL GIVE BRAINLIEST!
The length of a side of a square is (6x + 6) km. Find the area of the square in terms of
the variable x. km2

Answers

36x^2+72x+36 I think

The measure of arc BC is ___ degrees.

Answers

Answer:

150

Step-by-step explanation:

Calculate the missing measure in the triangle 35º and 85º

Answers

Answer:

60º

Step-by-step explanation:

180º-35º-85º=60º

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Answers

Answer:

22) 20000000

23) 0.034

24) 0.0000000015

25) 59000000000

26) 0.0048

27) 625000

Step-by-step explanation:

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

4.1 kilograms

Step-by-step explanation:

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

= 7.6 kilograms - 3.5 kilograms

= 4.1 kilograms

HELP giving brainlest and extra points

Answers

divide tomato genome and human genome and you'll get

= 0.3

standard form is

3 × 10-¹

How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions

Answers

Answer:

No solution

Step-by-step explanation:

Use substitution

2x+1=2x-1

Subtract 2x on both sides

1= -1

No solution

There is a 0.9987 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charges ​$186 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$100,000 as a death benefit. Complete parts​ (a) through​ (c) below.

Answers

Parts a through c is missing and it is;

a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?

The value corresponding to surviving the year is $_____.

The value corresponding to not surviving the year is $_____.

b) If the 33-year-old male purchases the policy, what is his expected value?

The expected value is $_____.

c) Can the insurance company expect to make a profit from many such policies? Why?

_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.

Answer:

A) the value that corresponds to surviving the year = - $186

The value corresponding to not surviving the year = $99814

B) μ = -$56

C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.

Step-by-step explanation:

A) The company charges $186 for insuring. Thus;

Amount paid out = - $186

Therefore, the value that corresponds to surviving the year = - $186

Therefore, the value corresponding to not surviving the year = $100000 - $186

The value corresponding to not surviving the year = $99814

B) since probability that a 31 year old male survives is 0.9987, then;

Probability that a male doesn't survive is;

P(doesn't survive) = 1 - 0.9987

P(doesn't survive) = 0.0013

The expected value is calculated from;

μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)

μ = -$56

C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.

You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help

Answers

1500+5%= 1505 that is the answer I got I hope this was helpful

Lisa and Maria were baking oatmeal cookies. Lisa baked 24 cookies on Friday and 36 on Saturday. Maria baked the same amount of cookies that Lisa baked on Saturday. How many cookies did they bake altogether?

Answers

Answer:

96 cookies.

Step-by-step explanation:

I don't love the wording of the question, but here's what I see:

Lisa Friday: 24

Lisa Saturday: 36

Maria total: 36

Cookie total: 96

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

I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.

If 96 is the wrong answer, then try:

Lisa Friday: 24

Lisa Saturday: 36

Maria total: 60

Cookie total: 120

The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?

Answers

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

In the Pythagorean Theorem, a^2+b^2=c^2. The measurements provided here are 30, and 18. 30 is c and 18 is either a or b (it doesn’t matter) 30 is c because it is specified as a diagonal. In reverse to the Theorem, it would be 30^2-18^2= a^2 that would be 900-324. You would then square root what you got for “a” to find your answer. It would be 24.

Apply the Pythagorean Theorem to find the distance between points A and B

Answers

The answer is b, hope I helped :)

five less than three time a number is greater than two thrirds of that number

Answers

Answer:

3x - 5 > 2/3x

Step-by-step explanation:

If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks

Answers

just do 10 x 15
=150

Answer:

D 150 thats easy multiply or add

Help me with this!!!

Answers

Answer:

z = 9

Step-by-step explanation:

7z = z + 54

7z - z = 54

6z = 54

z = 54 / 6

z = 9

2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution

Answers

Answer:

Step-by-step explanation:

\[2~ sin^2 x+3sin x+1=0\]

\[2sin^2x+2sin x+sin x+1=0\]

2sinx(sin x+1)+1(sin x+1)=0

(sin x+1)(2 sin x+1)=0

either sin x+1=0

sin x=-1=sin 3π/2=sin (2nπ+3π/2)

x=2nπ+3π/2,where n is an integer.

or 2sin x+1=0

sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)

x=2nπ+7π/6,2nπ+11π/6,

where n is an integer.

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