A tire shop counted 80 invoices at the end of the month. They charge $325 for a set of new tires and $50 for a set of used tires. The total dollar amount of the invoices was $6,750. Let x represent the number of sets of new tires and y represent the number of sets of used tires. Which system of equations represents the situation?
a. x+y=80
325z=50y + 6,750
b. z+y=80
325x=-50y+6750
c. x+y=80
325x=-50y-6750
d. x+y=80 -325z=-50y + 6,750

Answers

Answer 1

Answer:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Step-by-step explanation:

Le x represents the set of new tires

Let y be the set of used tires

If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:

[tex]x+y = 80 ............ 1[/tex]

If they charge $325 for a set of new tires, the total amount charged for new tires will be:

[tex]325 \times x \\325x[/tex]

If they charge $50 for a set of used tires, the total amount charged for used tires will be:

[tex]50 \times y\\50y[/tex]

If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:

[tex]325x+50y = 6,750 .............. 2[/tex]

Hence the system of equations represents the situation is:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Answer 2

Answer:

x + y = 80

325x = -50y + 6,750

Step-by-step explanation:


Related Questions

Bridgette measured a house and made a scale drawing. The scale she used was 7 centimeters = 1 meter. What is the drawing's scale factor?

Simplify your answer and write it as a fraction.

Answers

Answer:

7 cm=1m

Step-by-step explanation:

what is 1/4 + 2??

Please help!!

Answers

Answer:

2.25

Step-by-step explanation:

ANSWER PLS ABOUT FRACTIONS

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3}{5} +\frac{1}{4} +\frac{3}{8} =[/tex] Distance Janie walked

First add [tex]\frac{1}{4} and\frac{3}{8}[/tex] canvert 1/4 by multiplying by 2/2 to get a commmon denominator.

[tex]\frac{1}{4} *\frac{2}{2} =\frac{2}{8}[/tex]

[tex]\frac{2}{8} +\frac{3}{8} =\frac{5}{8}[/tex]

Now find a common denominator for 3/5 and 5/8 by multiplying 3/5 by 8/8  and 5/8 by 5/5.

[tex]\frac{3}{5}*\frac{8}{8}=\frac{24}{40}[/tex]

[tex]\frac{5}{8}*\frac{5}{5}=\frac{25}{40}[/tex]

Now add them.

[tex]\frac{24}{40}+\frac{25}{40}=\frac{49}{40}=1\frac{9}{40}[/tex]miles

You can also convert all to decimals and add.

3/5 = .6

1/4 = .25

3/8 = .375

.6 + .25 + .375 = 1.225

Also 1 [tex]\frac{9}{40}[/tex] = 1.225

whats the answer of 3/4 + 1/4 =

Answers

Answer:

1

Step-by-step explanation:

3/4 + 1/4 since they both have a 4 as the denominator you only have to add the top since they made it easy. and since that would be 4/4 your answer would be 1 whole.

need help really bad​

Answers

Answer:

Symbols= P(A^1)

Value: 2/5 , 4/25 , 3/5 , 16/25

Step-by-step explanation:

Which situations can represent the expression n+ 2? Check all that apply.
Ramya's grade increased by two points
the difference between Escher's highest score and two
the number of chapters Wally read plus two more
O two fewer than the maximum number of absences Ellie is allowed
two added to Allison's age.
the sum of Mikel's height and two

Answers

Answer:

Yes: Ramya's grade increased by two points

No: the difference between Escher's highest score and two

Yes: the number of chapters Wally read plus two more

No: O two fewer than the maximum number of absences Ellie is allowed

Yes: two added to Allison's age.

Yes: the sum of Mikel's height and two

Step-by-step explanation:

If it says yes, it is because it was adding 2. If it says no, it was either subtracting 2 or any other form of math other than adding 2.

Answer:

A,C,E,F

Step-by-step explanation:

Just shortening it up! The person above me is correct, though. Don't forget to make them brainliest (if you want to of course)! Major Big brain moment... lol!

Answer answered by Jordan

Stay Safe <3

↖(^ω^)↗

Edmond measured a restaurant and made a scale drawing. The scale he used was
7 centimeters : 6 meters. The restaurant's kitchen is 30 meters long in real life. How long is
the kitchen in the drawing?

Answers

Answer:
The answer is 35.

Explanation:
If you divide 30 by 6 you get 5. Then when you multiply 5 by 7 you get 35


What number equals 2 4/5?
O 0.28
O 0.357
O 2.45
O 2.8

Answers

I think its 2.8.

Reason why:

4/5 = 0.8

Then the 2 would a whole number...

so 2.8.

The function f(x) = 1/2 x + 3/2 is used to complete this table

X. F(x)
-1. 1
0. 3/2
1. 2
2. 5/2



Which statements are true of the given function check all that apply.

F[-1/2]=-2

F(0)=3/2

F(1)=-1

F(2)=1

F(4)=7/2

Answers

Answer: f(0)=3/2, f(4)=7/2

Answer:

b and e

Step-by-step explanation:

Eight more than the quotient of thirty and a number is fourteen.

Answers

Answer:

The number is 5

Step-by-step explanation:

First, we turn words into an equation(using x as the unknown number). Then, we solve for x.

[tex]\frac{30}{x} +8=14\\\frac{30}{x}=6\\30=6x\\5=x[/tex]

Simplify using order of
operations.
7(6 + 3) – 4 x 5
P
E
MD
AS

Answers

6+3=9
7(9)-4x5
63-4x5
63-20
Answer: 43

Answer:

[tex]43[/tex]

Step-by-step explanation:

If you dont know what PEMDAS means

P= Parenthesis

E= Exponents

M= Multiplication

D= Division

A= Addition

S= Subtraction

[tex]7(6 + 3) - 4 \times5[/tex]

[tex]6 + 3 = 9[/tex]

[tex]7(9) - 4 \times 5[/tex]

No exponents but there is multiplication

[tex]7 \times 9 = 63[/tex]

[tex]63 - 4 \times 5[/tex]

[tex] - 4 \times 5 = - 20[/tex]

[tex]63 - 20 = 43[/tex]

[tex]43[/tex]


Please help I will give brainiest

Answers

Answer:

4

Step-by-step explanation:

The constant of proportionality is what determines the relationship between y and x. If t is the constant of proportionality then an example is y = tx .

So 4 is the constant of proportionality

Answer:

A) 4

Step-by-step explanation:

3 times 4 is twelve. 1 times 4 is 4. 7 times 4 is 28. All of the numbers on the left can be multiplied by 4 to get the answer on the right.

I’m failing and I don’t understand what to do.

Answers

start at point B till you get it right

For a polynomial P(x), the quotient P(x)/(x-2) has a remainder of 12. What is the value of P(2)? Please explain. Thanks :)

Answers

Answer:

12

Step-by-step explanation:

P(x) has infinitely many solutions, but I am going to find the easiest one, which would be a linear equation.

First, notice that x-2 perfectly divides into itself.

Then, if you add 12 to x-2, you will end up with a remainder of 12. Therefore, P(x) would be x-2+12 = x+10.

Now that we know P(x), we can directly plugin 2 to find out P(2):

2+10 = 12

Therefore, P(2) = 12.

The manager of a bakery states in a report that the average value of customer transactions is greater than $13.65. A random sample of 38 transactions was taken, yielding an average of $14.92 with a standard deviation of $5.51. (a) Which hypotheses should be used to show the manager's claim is correct? H0: p = 14.92 vs. Ha: p > 14.92 H0: p = 13.65 vs. Ha: p > 13.65 H0: μ = 13.65 vs. Ha: μ > 13.65 H0: μ = 14.92 vs. Ha: μ > 14.92 (b) Find the test statistic: (Use 4 decimals.) (c) What is the p-value? (Use 4 decimals.) (d) What is the conclusion of the hypothesis test, for α = 0.05? --- the value $13.65. There is --- evidence the mean transaction value is greater than $13.65. (e) Regardless of your conclusion above, what is the meaning of a Type II error in this context? you conclude the average transaction value is greater than $13.65, in reality the average transaction value is greater than $13.65. You conclude the average transaction value is equal to $13.65, in reality the average transaction value is equal to $13.65. You conclude the average transaction value is greater than $13.65, in reality the average transaction value is equal to $13.65. You conclude the average transaction value is equal to $13.65, in reality the average transaction value is greater than $13.65.

Answers

Answer:

A) Null Hypothesis; H0: μ = 13.65

Alternative hypothesis; Ha: μ > 13.65

B) t = 1.42

C) The p-value is greater than the significance level of 0.05. Thus, we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean transaction value is greater than $13.65.

D) type II error will be to conclude the average transaction value is equal to $13.65, in reality the average transaction value is greater than $13.65.

Step-by-step explanation:

We are given;

Population mean; μ = $13.65

Sample mean; x¯ = $14.92

Sample standard deviation; s = $5.51

Sample size; n = 38

DF = n - 1 = 38 - 1 = 37

Significance level; α = 0.05

A) The hypotheses is defined below;

Null Hypothesis; H0: μ = 13.65

Alternative hypothesis; Ha: μ > 13.65

B) Since we are given sample standard deviation, we will use formula for t-value. Formula for the test statistic is;

t = (x¯ - μ)/(s/√n)

t = (14.92 - 13.65)/(5.51/√38)

t = 1.42

C) From online p-value from t-score calculator attached, using; t = 1.42, α = 0.05, DF = 37, one tail, we have;

P-value = 0.08199

D) The p-value is greater than the significance level of 0.05. Thus, we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean transaction value is greater than $13.65.

E) A type II error simply means accepting a null hypothesis that is not true.

Now, in this case what it will mean is to accept the null hypothesis.

Thus, type II error will be to conclude the average transaction value is equal to $13.65, in reality the average transaction value is greater than $13.65.

Solution of the equation

Answers

Answer:

B

Step-by-step explanation:

The sides are not equal.  You substitute the coordinates into the equation which gives you -11=-4 x 3

which solves to -11 = -12

therefore the sides are not equal

Use Symbolab for math problems, it helps alot especially on tests.

In 1998, Susie Maroney set a record for the longest ocean swim without flippers. She swam 122 miles from Mexico to Cuba. Use a conversion factor to find the distance in feet. 1mile=5280 feet

Answers

Answer:

it's 644160 u need to times it if she swam 122 miles and each mile is 5280 and u answer is 644160

someone please help me from 6 to 9 please

Answers

Answer:

For 6.) y=-2x+1; 9.) y=-7/3x-5

Step-by-step explanation:

Slope intercept form is y=mx+b. m would be the slope (-2 and -7/3) and y is the y-int (1 and -5).

Number 2 : How old is Geraldo?

Answers

it’s b because you substitute the 11 in and then you add 3 to it which would be 14 then you add the other 11 which would be equal to 25

Th e expert trail is 750 meters longer than the beginner trail. How long is each trail?

Answers

do they give the whole amount of both trails together? then someone would be able to answer this so pls add that

Which of the following tables show a rate greater than 1 gallon per minute HELP ME ASAP I NEED THIS QUICK

Answers

Answer:

Step-by-step explanation try b:

None of the options are correct because no table shows the 1 gallon per minute.

Given that,
To determine which of the table shows the rate of 1 gallon per minute.

What is the rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here.
Table 1,
Rate = number of gallon / minute = 1 / 5 / [10/5] = 1/10 gallon per minute
Similarly.
Table 2
Rate = 2 / 3  gallon per minute
Table 3
Rate = 1 / 2  gallon per minute
Table 4
Rate = 3 / 8  gallon per minute

Thus. none of the options is correct because no table shows the 1 gallon per minute.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ2

What volume,in cubic inches,is equivalent to 15 cubic feet?

Answers

Answer: 1 feet = 12 inches

1 cubic feet = 12^3 = 1728 cubic inches

15 cubic feet = (15)(1728) = 25,920 cubic inches

In ACDE, the measure of length of CD to the nearest tenth of a foot.

Answers

Answer:

it is 55

Step-by-step explanation:

Square root to the nearest tenth √1.001 ,√1.1212 ,√2.895, √4.005 ,√6.2533

Answers

Answer:

1.0 ; 1.1 ; 1.7 ; 2.0 ; 2.5

Step-by-step explanation:

Given the following :

√1.001 ,√1.1212 ,√2.895, √4.005 ,√6.2533

The square root to the nearest tenth :

Using calculator :

√1.001 = 1.0004998 = 1.0

√1.1212 = 1.0588673 = 1.1

√2.895 = 1.7014699 = 1.7

√4.005 = 2.0012496 = 2.0

√6.2533 = 2.5006599 = 2.5

$75 dinner; 18% tip
Explained step by step pls

Answers

Answer: $13.50

Step-by-step explanation:

Answer:

$13.5

Step-by-step explanation:

Everything you do is multiply 75 by 0.18 ( 0.18 represents 18%)

which gives you 13.5, so the tip would be $13.50

Graph g(x) = f(x + 2) - 5.

Answers

Answer:

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

Write 45%of m as an expression

Answers

Answer:

nh

Step-by-step explanation:

A cashier worked an 8-hour day, and earned $58.00. The double number line shows the amount she earned for working different numbers of hours. For each question, explain your reasoning.



How much does the cashier earn per hour?

How much does the cashier earn if she works 3 hours? pls help me!!

Answers

Answer:

The cahier earns 7.25 an hour

and in three hours she will have 21.75

Answer:

Step-by-step explanation: IT Is The cashirs earns $7.25 each hour.She will have 21.7$

The bar graph shows the number of representatives from the North, South, Central, East, and West regions of a city. According to the bar graph, what is the experimental probability that a randomly chosen representative is from the south region.1/12, 1/3, 1/4, 1/5

Answers

Answer:

1/3

Step-by-step explanation:

Got it right on quiz.

Rico's T-shirt Company sells customized short sleeve T shirts, long sleeve T-shirts, and sweatshirts. Each type of shirt sells in multiples of 5. It costs $25.00 for 5 short sleeve T-shirts, $30,00 for 5 long sleeve T-shirts, and $40.00 for 5 sweatshirts Short sleeve and long sleeve T shirts can be made in any color except navy or black Sweatshirts are only made in navy and black.. Mercedes bought green shirts for $55.00.. Quinn bought 10 navy sweatshirts, Rachel paid $30.00 for several red shirts, Hector bought black and yellow shirts for $65.00. Use the axioms to make three conclusions about the shirts sold.​

Answers

Answer:

Hector purchased 5 black sweatshirts at $40, and 5 yellow short sleeve shirts at $25. He spent $65 in total.

Rachel purchased 5 red long sleeves shirts at $30.

Mercedes purchased 5 green short sleeve shirts at $25 and 5 long sleeve shirts at $30. She spent $55 in total.

Quinn purchased 10 navy sweatshirts and spent $80 in total.

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