Steve bought used and new video games from a website. The new games cost $54 each and the used games cost $9 each. He spent no more than $243 on the video games and he bought no more than 7 video games. Let x represent the number of new video games, and let y represent the number of used video games. Identify an ordered pair that is a solution to the system of inequalities. Interpret the meaning of the ordered pair within the context of the problem by selecting the appropriate explanation.

Answers

Answer 1

Answer:

y = 3 used games

x = 4 new games

Step-by-step explanation:

54x + 9y = 243

x + y = 7   then x = 7 - y

substitute for x:

54(7 - y) + 9y = 243

378 - 54y + 9y = 243

reduce:

378 - 45y = 243

subtract 243 from each side:

135 - 45y = 0

add 45y to each side:

45y = 135

divide both sides by 45:

y = 3

x = 7 - 3 = 4

check:

3+4 = 7

7 = 7

54(4) + 9(3) = 243

243 = 243


Related Questions

hey besties first to answer gets brainliest bc i forgot how to calculate triangles

Answers

The answer is 62 degrees. Now please give me the brainliest

4(g - h) + 10 , when g = 12 , h = 7

Answers

Answer: 30

Step-by-step explanation:

4 (12 - 7 ) + 10

Do 12 - 7 first.  It'll equal 5

4(5)+10

Now multiply 4 and 5.

It'll be 20.

20+10 =30

Answer:

30

Step-by-step explanation:

4(12-7)+10          or:         4(12-7)+10

48-28+10                          4(5)+10

20+10                                 20+10

30                                        30

you can do it either way  hope this helps

Choose the letter of the point which is at (3.5, 3.5) in the following figure.

Answers

J.

3.5 across, 3.5 up

The Weston family spends a maximum of
$50.00 per month on entertainment. Write and
graph an inequality to represent this.

Answers

Answer:

y < 50x

Step-by-step explanation:

In order to graph this inequality, you first need to identify the important word(s) here to find the inequality sign; in this case, it would be "maximum of $50" a month. Since it's a maximum of $50 a month (or less than $50 a month), you can write it as:

Where m is months and c is total cost, c < 50m

If you need to graph this, you can write it as y < 50x. The cost is y since it's the output, and months is x since that's the input.

Which equation has solution x = -3? *
2x - 7 = -1
3x + 8 = 1
1/2x + 8 = 10
1/2(2x - 6) = -6
Please help me

Answers

Answer:

1/2(2x-6)= -6

Step-by-step explanation:

Multiply the two sides by the equation 2

2x-6=12

move the constant to the right hand side change sign

2x = -12 + 6

calculate the sum

2x= -6

Divide the 2 sides by 2

x= -3

Find the value of x.




110


80


40


35

Answers

Answer:40

Step-by-step explanation:

The answer is 40:)))

Helpppppp Meeee!!!!!!

Answers

Answer:

In 11 teaspoons, there are 53.9 milliliters.

Step-by-step explanation:

Since you know that one teaspoon is equal to 4.9 milliliters, to find the answer, you have to multiply 4.9 times the amount of teaspoons, or 11. Hence, the answer is 53.9.

Please like and mark brainliest!

Hope it helps!

someone please help me I have 10 minutes to submit it!!​

Answers

Answer:

x = 5 or x = -5

Step-by-step explanation:

| a b |

| c d |

det = ad - bc

| x 4 |

| 3 x |

det = x * x - 4 * 3 = x^2 - 12

x^2 - 12 = 13

x^2 = 25

x^2 - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or x = -5

omar tariq has a credit card that uses the unpaid balance method to compute the finance charge. His monthly periodic rate is 2.4% during his billing cycle he charged a total of of 256.28 and made payments totaling $350. If he has a finance charge of 18.28, find his (a) unpaid balance (b) previous balance and (c) his new balance

Answers

Answer:

(a) unpaid balance = $667.95

(b) Previous balance = $761.67

(c) his new balance = $683.98

Step-by-step explanation:

In the question, we are given the following:

Monthly periodic rate = 2.4%, or 0.024

Curren charges = $256.28

Total payment made = $350

Finance charge = $18.28

Therefore, we now proceed as follows:

(a) unpaid balance

This can be calculated as follows:

Unpaid balance = Previous balance + Current charges - Total payment made ................. (1)

Note that from part (b), Previous balance is equal to $761.67.

Substituting this and other values from the question into equation (1), we have:

Unpaid balance = $761.67 + $256.28 - $350 = $667.95

(b) Previous balance

This can be calculated as follows:

Previous balance = Finance charges / Monthly periodic rate = $18.28 / 2.4% = $18.28 / 0.024 = $761.67

(c) his new balance

This can be calculated as follows:

New balance = Unpaid balance * (1 + Monthly periodic rate) = $667.95 * (1 + 2.4%) = $667.95 * (1 + 0.024) = $667.95 * 1.024 = $683.98

Express this number in scientific notation.
31 billion



Answers

Answer:

3.1 * 10^10

Step-by-step explanation:

Find the dimensions of the square or circle.

Answers

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches

In ΔRST, the measure of ∠T=90°, TR = 18 feet, and RS = 44 feet. Find the measure of ∠R to the nearest degree.

pls help!!

Answers

Answer:66

Step-by-step explanation:

66

plsss help i need a good grade

Answers

Answer:

Step-by-step explanation:

A radio station tower was built in two sections. From a point that is 70 feet from the base of the tower, the angle of elevation to the top of the section is 28 degrees, and the angle of elevation to the top of the second section is 40 degrees. What is the height of the top section of the tower to the nearest tenth of a foot?

Answers

Answer:

21.5 feet

Step-by-step explanation:

d = Distance of the bottom of the tower to the point of observation

x = Height of the top section of the tower

a = Height of bottom section

b = Total height of tower

[tex]\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}[/tex]

[tex]\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}[/tex]

[tex]x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}[/tex]

The height of the top section of the tower is 21.5 feet.

Find the product of (3x − 4)(2x2 + 2x − 1).

a
6x3 + 2x2 − 5x + 4

b
6x3 + 14x2 − 11x + 4

c
6x3 − 14x2 − 5x + 4

d
6x3 − 2x2 − 11x + 4

Answers

Answer:

Answer is D.)

6x3 - 2x2 - 11x + 4

Find the area of the figure.

Answers

We can’t find the area of the shape just like that. So we have to draw a line and cut the shape, which makes it 1 square and 2 of the same triangles.
Let’s solve for the square first.
Area=Length x Width
A=3 x 6
A=18in
Now the 2 triangles
Area=Base x Height/2
Area=1.5 x 3/2
Area=2.25in
Now add all of them together:
18+2.25+2.25=22.5in

Answer and Step-by-step explanation:

For this shape, we have to draw a line that goes through the point that is inside of the shape from top to bottom.

This creates a square and two triangles.

The area formula for a triangle is A = [tex]\frac{bh}{2}[/tex]

The area of a square is A = b*b

Half of 3 is 1.5.

Triangles (Area combined):

Since there are two triangles that are the same, we only need to find the area of of 1 triangle, and not divide by 2.

A = 3 × 1.5 = 4.5

Square:

A = 3 × 3 = 9

Now, we add them together to get the total area of the figure.

9 + 4.5 = 13.5

The area of the figure is 13.5 [tex]in^{2}[/tex].

#teamtrees #PAW (Plant And Water)

PLSSS HELPPP REWARD BRAINLIEST AND STARSSS

Answers

Answer:

It will take 3.5s

Step-by-step explanation:

After checking that conditions are met, you perform a significance test of 0:=1 versus :≠1 . You obtain a -value of 0.022.
Which of the following must be true?

A 95% confidence interval for will include the value 0.022.

A 99% confidence interval for will include the value 1.

None of these is necessarily true.

A 99% confidence interval for will include the value 0.022.

A 95% confidence interval for will include the value 1.

Answers

Answer:

A

Step-by-step explanation:

The true statement is

A 99% confidence interval for will include the value 1.

What is Confidence Interval?

The range of values that we observe in our sample and for which we anticipate finding the value that accurately reflects the population is referred to as a confidence interval.

Given:

[tex]H_0: \mu = 1\\H_\alpha : \mu \neq 1[/tex]

P= 0.022

If the P- value is smaller than significance level, then the null hypothesis is rejected.

P< 0.05 - 5% Reject [tex]H_0[/tex]

P> 0.01 = 1% Fail to Reject [tex]H_0[/tex]

A 95% Confidence interval correspond with a significance test at the 5%

significance level.

A 99% Confidence interval correspond with a significance test at the 1%

significance level.

If the Significance test was Significant then the interval does not contain the value mentioned in the Hypothesis.

95% CI does not contains 1.

99% CI contains 1.

Learn more about Confidence Interval here:

https://brainly.com/question/24131141

#SPJ2

Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5

Answers

Answer:

where are the graphs?

Step-by-step explanation:

Answer:

EZ

Step-by-step explanation:

what is the area?
diameter of circle is 7 m

Answers

Answer:

the area is 52.49

Step-by-step explanation:

triangle

radius is 3.5

3.5x19=66.5÷2=33.25

hemisphere

π3.5squared=38.48

38.48÷2=19.24

33.25+19.24= 52.49

Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games.


Select all true statements below based on this information.



A The cost for 2 tickets is $20. The cost for 2 tickets is $20.


B The cost is $7 per ticketThe cost is $7 per ticket


C For $42 you could get 6 tickets. For $42 you could get 6 tickets.


D 12 tickets would cost you $60

Answers

Answer:

B

Step-by-step explanation:

28/4=7 therefore, each ticket is $7.

Answer:

B, C

Step-by-step explanation:

A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.

B is right due to the fact that each ticket is $7 if you divide $28 by 4.

C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)

D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.

Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.

3, 10, 6, 9, 7, 4

Answers

Answer:The mean absolute deviation (MAD) of the data set=2.17

Step-by-step explanation:

The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each  data value in a data set.

Given the data set

3, 10, 6, 9, 7, 4

First find the mean

Mean  =Sum of data set / Number of data set

=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5

Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean

Value  distance from mean

3,        6.5 -3             3.5

10       6.5 -10           3.5

6,       6.5-6             0.5

9,        6.5 -9            2.5

7,         6.5 -7            0.5

4            6.5 -4         2. 5

Last step is to find the mean of the distances which is

Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) /  6

=13/6

=2.166666 rounded up to 2.17

what is 1.7 divided by 0.428​

Answers

3.97196261682 hope this helps!

Find the area of a parallelogram with these dimensions.

base = 6 meters

height = 2.25 meters

Answers

Answer:

13.5

Step-by-step explanation:

math i did it somehow

The answer would be 13.5 after you multiply both of them

Tell how many edges each solid figure has:

Answers

Answer:

1. 12

2. 0

3. 9

Step-by-step explanation:

SOMEBODY PLEASE HELP ME THIS IS A TEST QUESTION.The population of bacteria doubles every hour. At 9 AM. The population is 12 bacteria. The function P (t)=12•2^t models the bacteria population tea hours after 9 AM what is the value of P (5) what does it represent in context

Answers

Answer:

The population is 384 bacteria at 2pm

Step-by-step explanation:

Because u just need multiplied

what is quarter to twelve on the 24 hour clock​

Answers

Answer:

11:45

Step-by-step explanation:

In a class there are 20 boys and 15 girls.The ratio of boys to girls is

Answers

Answer:

can u explain more and if not i thnk it is 20:15

Step-by-step explanation:

Answer:

number of boys in the class = 20

number of girls in the class = 15

ratio of girls is to boys(Percentage) = 15/20 x 100

= 0.75 x 100 = 75%

Step-by-step explanation:

*WILL GIVE BRAINLIEST*
*Dont mind the "24" I accidently pressed an answer :(*

Find the surface area of the cube.
side length = 2 cm

A: 4 cm2
B: 48 cm2
C: 24 cm2
D: 12 cm2

Answers

24cm ^2 is the answer

Surface Area = 6×22 = 24 centimeters^2

help please i’ll give points !!

Answers

Answer: C :)

Step-by-step explanation:

It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.

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