Two families are saving money for a vacation. The Juarez family has saved $1000 and will save $50 more each week. The Kim family has saved $500 and will save $75 more each week. Write a system of equations to represent how much money each family will save.

Answers

Answer 1

Answer:

There are many ways you could put this let me demonstrate.

Step-by-step explanation:

If they were to do this for a year (52 weeks) that would be 50x52=2600+1000=3600. Then 75x52=$3900+500=$4400. but if you were to cut that time in half to 6 months it would go something like this. 50x26=1300+1000=2300. Then 75x26=1950+500=2450. It all has to do with the time. I hope this helped.


Related Questions

In football, a field goal is kicked from a position on the field
through a goal post that is 360 inches beyond the goal line. If a
field goal is kicked from the 38-yard line, what is the distance in feet to the goal post

Answers

Answer:

144 ft. i just had this question on my test .

Step-by-step explanation:

In a random sample of 8 ​people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90​% confidence interval using the​ t-distribution was calculated to be (30.5,40.5). After researching commute times to​ work, it was found that the population standard deviation is 9.3 minutes. Find the margin of error and construct a 90​% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.

Answers

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

Normal distribution = (30.1, 40.9)

on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye

Answers

Answer:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \boxed{\frac{4}{3}} [/tex]

Explanation:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \frac{1 × 6}{2 × 6} + \frac{10}{12} \: = \: \frac{6}{12} + \frac{10}{12} \: = \: \frac{6 + 10}{12} \: = \frac{16}{12} \: = \: \frac{16 ÷ 4}{12 ÷ 4} \: = \: \frac{4}{3}[/tex]

[Multiply the numerator and denominator by the common denominator so that both denominators are the same]

[Add the numerators together]

[Reduce the fractions and simplify by a common denominator until the denominator or numerator cannot be divided evenly]

A track star jumped 6 feet. The record is 84 inches. How much further does he need to jump to beat the record?

thank you!!

Answers

Answer:

12 inches or 1 ft.

Step-by-step explanation:

Firstly, convert the 6 feet to inches.

(There are 12 inches in 1 foot)

So, 6 feet is 72 inches (6 * 12)

Now, you can subtract this total from the record, to find how much farther he needs to jump:

84 - 72 = How much further

84 - 72 = 12

Therefore, he needs to jump 12 inches further.

To place in feet form, then convert 12 inches to feet.

(There are 12 inches in a foot)

So, 12 inches is 1 foot

Answer:

1 foot or 12 inches.

Step-by-step explanation:

Since there are 12 incher in every foot, we divide 84 by 12, giving us a total of 7ft. He has to jump 1 foot, or 12 inches more, to beat the record.

Write and solve an equation for the following.

Four more than one-half a number is three. What is the number?

Answers

Answer:

4+ [tex]\frac{1}{2}[/tex]x = 3

Step-by-step explanation:

4 + [tex]\frac{1}{2}[/tex]x = 3 (subtract 4 from both sides)

[tex]\frac{1}{2}[/tex]x = -1 (multiply both sides by 2)

x = -2

Answer:

4+ 1/2 x = 3

Step-by-step explanation:

X =-2

A chili cook-off has adult tickets (a) and child tickets (c) . A group of Visitors buy three adult tickets and two child tickets and pays a total of $26. Another group buys five adult tickets and 3 child tickets and pays $42. Write and solve a system of equations to find the price of each type of ticket. (I just need the equations)​

Answers

Answer:

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

Step-by-step explanation:

What is the square unit of 6 by 9 square unit what is the area?

Answers

Answer:

54 unit ^2

Step-by-step explanation:

Well a formula for a rectangle is a=lw

So 6*9=54

The area is 54

find the length of DE

Answers

Considering line AB is 9.4 in you can infer that line AE is 4.7 in because 9.4/2=4.7

Then using A^2+B^2=C^2

We can say 4.7^2+B^2=13^2

22.09 +B^2 = 169

169-22.09= 146.91

B^2=146.91

Square rooting both sides gives you
B=12.12

what is 23456776543211234654345676543456765434567654.5096875849 divided by 234.5678765424587654357876543 divided by 9999?

Answers

Answer:

1.0000995e+37

Step-by-step explanation:

Answer: Haha i'm so sorry but i don't know.

Step-by-step explanation: Have a great day!

1. If y varies inversely as x and y = 2 when x = 10, find y when x = 5.
2. If y varies directly as z and inversely as x and y = 10 and z = 5 when x = 12.5, find z when y = 37.5 and x = 2.

Answers

Answer:

1.45

Step-by-step explanation:

I don't really know if this is right

whoever gets this correct first gets brainlest

Answers

Answer:

f(x) = 4*(5/2)^x

Step-by-step explanation:

First, we know that our function has the points:

(0, 4)

(1, 10)

(2, 25)

The first one (0, 4) means that:

f(0) = 4.

Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)

Here we can discard the function f(x) = 15*x - 5 because:

f(0) = 15*0 - 5 = -5

Then this function is discarded.

Now let's look at the second point, (1, 10)

This means that f(1) = 10

Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.

Here we can discard the first function f(x) = (x + 2)^2 because:

f(1) = (1 + 2)^2 = 3^2 = 9

So the output is not 10 as we wanted.

(while for the other two functions we have)

for f(x) = 6*x + 4

f(1) = 6*1 + 4 = 10

for f(x) = 4*(5/2)^x

f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10

Now we use the last point, (2, 25)

This means that when x = 2, the outcome needs to be equal to 25.

For the function f(x) = 6*x + 4 we have:

f(2) = 6*2 + 4 = 12 + 4 = 16

So we can discard this one.

Then we could conclude that the remaining option is the correct one, but let's ceck.

f(x) = 4*(5/2)^x

then for x = 2

f(2) = 4*(5/2)^2 = 4*(25/4) = 25

correct.

Then the correct option is f(x) = 4*(5/2)^x

what is the total price including 7% tax of a $14.49 item​

Answers

Answer:

$15.50

Step-by-step explanation:

F(x)=0.5^x what is the domain and range

Answers

Answer:

XER (X are all real numbers)

Step-by-step explanation:

as;dbdjkdbusaj hfsvd

Which of the following scatterplots would have a trend line with a positive slope?

Answers

Answer:a

Step-by-step explanation:

What is the value of the missing angle?

Answers

68+47= 115
180-115= 65
the missing angle is 65°

Answer:

65°

Step-by-step explanation:

All angles in a triangle added up make 180° so you have to add 68° and 47° whih equals 115° and then simply subtract it from 180° so 180°-115°=65°

solve the system of linear equations by elimination. 6x-4y=18 3x+2y=-3

Answers

Answer:

y = -3

x = 1

Step-by-step explanation:

6x-4y=18

3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3

substitute for x:

6((-2y - 3)/3) - 4y = 18

2(-2y - 3) - 4y = 18

-4y - 6 - 4y = 18

-8y - 6 = 18

-8y = 24

y = -3

x = (-2(-3) -3)/3 = 1

3x(x-2)(2x2+1)-6(x+3)

Answers

Answer/Step-by-step explanation:

3x(x-2)(2x2+1)-6(x+3

ANSWER:

-12x^3 - 21x^2 - 12x - 18

Find the volume of the cone below. Leave your answer in terms of pi.

Answers

Answer:

ahaha it's B my guy

Step-by-step explanation:

peace out

2x + 8
2 + 3
7x + 21
.
x +4

Answers

Answer:

[tex]60x + 86[/tex]

Step-by-step explanation:

Find the area of the shaded sector.
158°

Answers

Answer:

120 degree in a while and I am fan of the African American women who have served and are fight with you and I am fan of these days and then I will be there in a few days ago y I love u too

Step-by-step explanation:

fftt fight for you to be a good day at work and you are so cute and I am fan of these people are so cute and I am fan of these game and my name was on the phone with my mom is going to be a good day at add me on the phone with my mom is going to be a good day at work and you are so t I don't know what I said it will be there in a few days ago I got the job at the end of my favorite thing in life that is the best thing that I have to be a good day at work and you are so sweet to say that I have to go back to the for us to be a good day at work and I'm so excited about this one is it a Main St apt c u at work and you are not a bad mood today so I can do it for me to come back in my head and I am fan and I am fan on my is on the phone and it is not a type of settlement of the African American women who have participated and are you doing today I am so proud of u and I am fan on my is on the phone number and you can do it for me to come

Assume that the weight of cereal in a "12.6 ounce box" is N(µ,0.42). The Food and Drug Association (FDA) allows only a small percentage of boxes to contain less than 12.6 ounces. You collect a random sample of n = 35 boxes and find that the sample mean is 12.8. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01

Answers

Answer:

We reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0}: \mu = 13[/tex]

The alternate hypotesis is:

[tex]H_{a}: \mu < 13[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

13 is tested at the null hypothesis:

This means that [tex]\mu = 13[/tex]

N(µ,0.42)

This means that the standard deviation is 0.42, that is, [tex]\sigma = 0.42[/tex]

You collect a random sample of n = 35 boxes and find that the sample mean is 12.8.

This means that [tex]n = 35, X = 12.8[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.8 - 13}{\frac{0.42}{\sqrt{35}}}[/tex]

[tex]z = -2.82[/tex]

Pvalue of the test:

The pvalue of the test is the pvalue of z = -2.82.

Looking at the z table, z = -2.82 has a pvalue of 0.0024

0.0024 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.

Which ordered pair is the solution to the system of linear equations y =-7x+2 and y = 9x-14?
• (-5,1)
• (1,-5)
(5,-1)
(-1,5)

Answers

Answer:

(1, -5)

Step-by-step explanation:

Solve the system by setting the equations equal to each other, and solving for x:

-7x + 2 = 9x - 14

2 = 16x - 14

16 = 16x

1 = x

So, the x coordinate of the solution will be 1.

Plug in 1 as x into one of the equations, and solve for y

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

So, the y coordinate is -5.

The ordered pair solution is (1, -5)

Answer:

Solution in photo

Thw local bakery makes 7 trays of oatmeal cookies each morning.Wach tray holds 22 cookies. About how many does the bakery make each morning
A.140
B.180
C.210
D.300

Answers

An estimate would be 7 trays. Time 20 cookies. That would make 140.
Therefore >>>>A. 140<<<< is the correct answer

what is the coefficient of the term of degree 4 in this polynomial 4x^8+5x^4-2x^3+

Answers

5Answer:

Step-by-step explanation:

sorry if this is wrong

a rectangle measures 2 1/3 by 1 2/3 what is its area ​

Answers

35/9 inches

you can put this in a mixed fraction, its still correct:
3 8/9

Maureen Ritter is paid $275 a week and a commission of. 7% on all sales. Her sales last week were $3,904. What were her total earnings for the week?

Answers

Answer:

548.28

Step-by-step explanation:

you want to take the original pay ( $275 ) and push that to the side.

take 3,094 and find 7% of that, which would be 273.28

lastly you want to take 273.28 and add the original pay of 275.

273.28 + 275 = 548.28

so her total pay for the week was 548.28

if y + 3 = 14, what is the value of 3(y + 5)

Answers

Answer:

48

Step-by-step explanation:

y + 3 = 14

y = 11

3(y + 5) = 3(11 + 5) = 3(16) = 48

Answer: 48

PLSS help me ☝............

Answers

Answer:

New Coordinates: G'(0,4) Y'(3,3) M(3,7)

Movement: Translation 3 units up

Step-by-step explanation:

Since you're adding to the y-coordinate, your points will move up which makes this a translation

Mrs. Crosland asked students to factor the expression 28x - 8. The students offered the answers shown in the box. Which student(s) offered answer(s) equivalent to the original expression? A. only Danny B. only Irene C. both Carlos and Danny D. both Carlos and Irene​

Answers

Answer:

Step-by-step explanation:

I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.

However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.

28x - 8

This equation can be factorised when divided by 2, into

2(14x - 4)

At the same time, it can be factorised when divided by 4, into

4(7x - 2)

Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.

What value of c makes x2 + 6x + c a perfect square trinomial?

3
6
9
12

Answers

9514 1404 393

Answer:

  (c)  9

Step-by-step explanation:

The square of a binomial has the form ...

  (x +a)² = x² +(2a)x +a²

You will note that the value of 'a' is half the coefficient of the x term (2a). The constant term is the square of the value of 'a'. This means the number you want is ...

  c = (6/2)² = 9

Answer:

9

Step-by-step explanation:

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Use synthetic division to determine whether the number is a zero of the polynomial function.3i;g(x) = x^3 - 4x^2 + 9x - 36 In the nineteenth century, one favorite song genre in the home circle was centered on a mythic view of love harking back to the: _________ Duck, an accrual basis corporation, sponsored a rock concert on December 29, 2020. Gross receipts were $300,000. The following expenses were incurred and paid as indicated: Expense Payment Date Rental of coliseum $25,000 December 21, 2020 Cost of goods sold: Food 30,000 December 30, 2020 Souvenirs 60,000 December 30, 2020 Performers 100,000 January 5, 2021 Cleaning the coliseum $10,000 February 1, 2021Performers Cleaning the coliseum Because the coliseum was not scheduled to be used again until January 15, the company with which Duck had contracted did not perform the cleanup until January 8-10, 2020. a. Calculate Duck's net income from the concert for tax purposes for 2019. If an amount is zero, enter "0". Gross receipts 300,000 Coliseum rental 25,000 Food 30,000 Souvenirs 60,000 Performers 100,000a. Calculate Duck's net income from the concert for tax purposes for 2019. If an amount is zero, enter "0". Gross receipts 300,000 Less: Coliseum rental 25,000 Food 30,000 Souvenirs 60,000 Performers 100,000 Cleaning costs Total expenses 215,000 Net income for 2019 85,000 b. What is the true cost to Duck if it had to defer the $100,000 deduction for the performers until 2020? Assume a 5% discount rate and a 21% marginal tax rate in 2019 and 2020. The present value factor for a single sum at 5% for one year is 0.9524. If required, round your answers to the nearest dollar. The present value of the 2020 tax savings is and the cost of the deferral to Duckiss. what role does the grass play in the food web? A. Producer B. Primary Consumer C. secondary Consumer D. Decomposer