a clothing store sells t-shirts,t,for $8 a shirt, and shorts,s,for $12 each. the store earned $180 revenue last month.the store sold three times as many t-shirts as shorts. using the method of substitution, how many t-shirts and shorts did did the store sell?

Answers

Answer 1

Answer:

Let x be the variable for a t-shirt for $8.

Let y be the variable for shorts for $12.

Let z be the variable for the hats that cost $10 each.

We have the expression 1 below:

$464 = $8x + $12y + $10z

other expressions:

3z = x

2z =y

By substitution we can solve each variable:

464 = 8(3z) + 12(2z) + 10z

464 = 24z +24z +10z

464 = 58z

z = 8

Solve for x andy:

3z=x

3*8 = 24=x

2z=y

2*8 = 16 = y

The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.

Step-by-step explanation:


Related Questions

Explain distributive property

Answers

Answer:

distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.

Answer:

Look at attachment:

Step-by-step explanation:

Hope this helps! :)

On test 7, Josue's score dropped back from 98 to 85. What is the percent decrease?

Answers

Answer:

13 %

I hope it's correct.

Step-by-step explanation:

initial marks (o) = 98

final marks (m) = 85

rate (r) = ?

Now,

r =

[tex] \frac{o - m}{o} \times 100percent[/tex]

= ((98-85)/98)x100%

=13.26%

Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

69

Step-by-step explanation:

Nearest 10 = 60

15%×60 = 9

60+9 = 69

C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

2 and 4
The number 3,124 when divided by 2 gives you 1,562, and when 3,124 is divided by 4 it gives you 781.

Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?

Answers

Answer:

9 pieces represent 3/ 4 because

3/4 × 12 parts = 9 parts

mark me as brainliest

Answer:

9 pieces

Step-by-step explanation:

12 x 3/4 = 9 or

3/4 converted to a decimal = .75 and 12 x .75 = 9

find the greatest four digits number which is divisible by 12, 18 and 30​

Answers

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?

Answers

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

I need help on this.

Answers

Answer:

the first one

Step-by-step explanation:

show how you got your answer

Answers

5,200
make km to m. km to m is 1,000
so 5.2 x 1,000

Can someone answer this? I’ll give points + brainalist

Answers

b because when u subtract the largest and smallest number its 20 and thats the most if u do it for all of them

3. David's salary is based off commission. The commission is 5% of the sales up to and including
$20,000 and 8% of the sales over $20,000 for the month. David sold $37,000 for the month.
What was his salary?

Answers

Answer:$2360

Step-by-step explanation:

37000-20000=17000

20000x0.05=1000

17000x0.08=1360

1000+1360=2360

HELP ME PLEASE PLEASE PLEASE

Answers

Answer:

( 4 x 10 y )

Step-by-step explanation:

Evaluate :
[tex] \frac{3}{8} + \frac{2}{9} [/tex]


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

Answers

The first one is 43/72 which can’t be simplified

The second one is 17/18

Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them

Answers

Answer:

110,000 (suv) to be shipped to New York City

Step-by-step explanation:

We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:

Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.

n + b = 180,000

Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):

b = n - 40,000

Now that we have a value for b in terms of n, we can plug this value into b in our first equation:

n + (n - 40,000) = 180,000

From here, we can solve:

n + n - 40,000 = 180,000

2n - 40,000 = 180,000

2n = 220,000

n = 110,000

Thus, we have our final answer.

I would appreciate Brainliest, but no worries.

A coin and a number cube with the numbers 1 through 6 are tossed. What

is the probability of the coin showing tails and the number cube showing

the number 3?

a. 1/12

b. 1/4

c. 1/8

d. ½
with some justification please ​

Answers

Answer:

yes

Step-by-step explanation:

opo

Please help
i will give brainleist
Screen shot down below⬇⬇⬇

Answers

Answer:

ok

Step-by-step explanation:

i think its sependent variable

Below are two parallel lines with a third line intersecting them

Answers

Answer:

its 122

Step-by-step explanation:

just did it on khan academy

(2/3)^4=

am very confuse guys help!!!

Answers

Answer:

16/81

Step-by-step explanation:

Lets break it down

When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times

So lets write the equation

[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]

[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]

[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]

If my answer is wrong pls correct me.

If you like my answer and explanation then please mark me as Brainliest!

-Chetan K

What kind of graph would be best to show the results of a group of students who were asked about their favorite kind of pizza. Explain your answer in complete sentences.

Answers

Answer:

A graph that would be best for a group of students trying to figure out there favorite pizza is a pie graph.

Step-by-step explanation:

What expression is undefined

Answers

Answer:

Step-by-step explanation:How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve.

To find:

Which of the four expressions are undefined, or not possible to calculate.

Steps:

Lets go through each option one by one

Option A:

[tex]-\frac{0}{2}[/tex] , in this expression a negative zero is divided by 2, we know that zero divided by any number is equal to 0.

[tex]-\frac{0}{2}= -0 = 0[/tex]

Since option A is defined. Now lets go to option B

Option B:

[tex]\frac{3}{6-6}= \frac{3}{0}[/tex]

this expression shows 3 divided by a zero, but dividing any non-zero number by 0 is not possible.

Therefore option B is undefined. We found out the answer but lets continue for learning purposes.

Option C:

0 ÷ 11 = [tex]\frac{0}{11}[/tex]

This expression is similar to the first expression, where zero is divided by any number.

[tex]\frac{0}{11} = 0[/tex]

Therefore option C is defined. Now let continue to option D

Option D:

[tex]\frac{-4+0}{8}= \frac{-4}{8}= \frac{-1}{2}[/tex]

In this expression, the final answer after simplifying is -1/2 which is a number and is possible to calculate

Therefore option D is defined.

Happy to help :)

If u need any more help feel free to ask

Hall and rey are seeing who can make the most money working their new summer jobs. Rey made $154.21 in the first month. If hall finishes the summer with $313.06, how many hours at a rate of $8.04 per our, does rey need to work to make more than hall
Write an inequality that represents the situation using x to represent the hours

Answers

Answer:

x564.99

Step-by-step explanation:

Richard requests his annual Social Security Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3

Answers

Answer:

Statement from the IRS each year. He wants to check how many Social Security credits he received

for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did

not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.

O

Ob

Ос

Od

1

4

3


Given f(x) = 6(1-x), what is the value of f(-8)?

Answers

Answer:

7/3

Step-by-step explanation:

1x6

1x(-x)

subtract and solve

Choose the correct simplification of a^5b^6/a^4b^4

Answers

Answer:

answer is b²a is the correct answer

Step-by-step explanation:

happy to help :)


Answer choices
10%
30%
25%
No links no links I will report

Answers

I think 25% I’m sorry if I’m wrong but it seemed more reasonable

I need help with this please:

Answers

Answer:

B and C

Step-by-step explanation:

4/7 = 0.57

2/3 > 4/7

is this khan academy?

Answer:

C

Step-by-step explanation:

Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating

Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *

Answers

Answer:

80% of the class is made up of boys

Step-by-step explanation:

7/35 are girls, which means, 28/35 are boys (35 - 7)

To find the percentage, you divide 28 by 35

28/35 = 0.8 or 80%

What is equivalent to 3n+2(1-4n)

Answers

Answer:

-5n + 2

Step-by-step explanation:

distribute 2 into (1 - 4n)

3n + 2 - 8n = -5n + 2

look at pic 10 pts will mark brainilest

Answers

Answer:

12h = 432

Step-by-step explanation:

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