7) Rob and Amy are selling cheesecakes for a school fundraiser. Customers can buy New York
style cheesecakes and chocolate marble cheesecakes. Rob sold 11 New York style cheesecakes
and 7 chocolate marble cheesecakes for a total of $266. Amy sold 4 New York style cheesecakes
and 14 chocolate marble cheesecakes for a total of $280. What is the cost each of one New York
style cheesecake and one chocolate marble cheesecake?

Answers

Answer 1

9514 1404 393

Answer:

New York style: $14Chocolate Marble: $16

Step-by-step explanation:

We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...

  11n +7c = 266 . . . . . . . Rob's sale

  4n +14c = 280 . . . . . . Amy's sale

The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...

  (11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)

  9n = 126 . . . . . . simplify

  n = 14 . . . . . . . . divide by 9

Filling this into the first equation, we have ...

  11(14) +7c = 266

  7c = 112 . . . . . . . . subtract 154

  c = 16 . . . . . . . divide by 7

One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.


Related Questions

Help help help help help help

Answers

Answer:

18.457

Step-by-step explanation:

The weight of 8 science books is 28 pounds. What is the weight of 11 science books?

The weight of 11 science books is
pounds.

Answers

Answer:

11 books = 33 Pounds

Step-by-step explanation:

24 divided by 8 = 3 pounds per book.

3 x 11 = 33 pounds

Hope this helps

Answer:

38.5

Step-by-step explanation:

28÷8=3.5

3.5×11=38.5

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 21 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

the probability is 18/67

Answer:

19/67

Step-by-step explanation:

I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works

Which number is a multiple of 7? A 27 B 48 C 56 ET D 74​

Answers

Answer:

C. 56

Step-by-step explanation:

7*8=56

I will give BRAINLIEST!!!The distance between P and T on the coordinate grid is units. (Input whole numbers only) 25 20- P. T -50 40 -30 -20 -10 0 10 20 30 40 Numerical Answers Expected! Answer for Blank 1:​

Answers

Answer:

P and T are 25 units apart.

Which of the following is equivalent to the expression below?
4x + 2(3-x)

6x + 6
3x+6
5x + 6
2x +6​

Answers

Answer:

2x + 6

Step-by-step explanation:

you have to factorize the above equation first and you'll get the answer


What should be included in a financial plan to protect assets?

Answers

The answer is how much insurance you will carry.

What is 863 divided by 4

Answers

The answer is : 215.75

Answer:

215.75

Step-by-step explanation:

.       .

 ----

Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?

Answers

Answer:

156 is the tax

Step-by-step explanation:

2600 x .06 = 156

A study was done to investigate the relationship between a between eating sugary snacks and a test that measures a
student's memory and attention. The correlating linear model is shown below, where x represents the number of sugar
snacks a student ate, and y represents the student's test score.
Interpret the rate of change (slope).
y = -5x

Answers

Answer:

Each additional sugary snack eaten is associated with a loss of five points on the test.

Step-by-step explanation:

Who can figure out the answer (3 x 1) +(6x 100)=X

Answers

Answer:

26

Step-by-step explanation:

WILL GIVE BRAINLIEST BUT PLEASE ANSWER NOWWWWWWW MUST BE CORRECT

Answers

Answer:

1. x = 2, y = -2 prod: -4 / 2 = -2

2. x = 6, y = -6 prod: -36 / 2 = -13

3. x = -1, y = -1 prod: 1 / 2 = 0.5

4. x = -4, y = -1 prod: 4 / 2 = 2

5. x = 10, y = -1 prod: -10 / 2 = -5

Answer:

we need the answer for median

Step-by-step explanation:

At the beginning of January of the current year, Thomas Law Center's ledger reflected a normal balance of $55,000 for accounts receivable. During January, the company collected $17,800 from customers on account and provided additional services to customers on account totaling $14,000. Additionally, during January one customer paid Thomas $6,500 for services to be provided in the future. At the end of January, the balance in the accounts receivable account should be:

Answers

The accounts receivable balance should be $44,700 which is calculated by starting with the current balance of $52,000, subtracting the $14,800 in collections (which lowers the balance), adding the $12,500 of additional debt (which raises the balance), then finally subtracting $5,000 for the money collected on a future debt.

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

The answer is the top one

Which ordered pair represents a solution? *

A (0,2)
B (1,3)
C (3,1)
D (26)

Answers

I think it’s A hope that helped
A is the correct answer

please answer
Step by step

Answers

Answer:

B) 20°

Step-by-step explanation:

The top half of the circle is equal to 180°...

13x + 3x + 2x = 180°

18x = 180°

x = 10°

Angle EOD is the opposite angle of 2x

2 (10) = 20°

What is the perimeter of the shaded part of this??

Answers

Answer:

18.9cm ( I rounded of and used Π as 3.14)

Step-by-step explanation:

P=distance all round

=1\2ΠD +Πd

see you have to calculate the upper length of the circle , since its half u multiply by a half. And since its not fully shaded the two semi circles are now included as the lower part of the whole shape. so you add them too. (I hope I'm making sense)

will someone help me with this?

Answers

height of movable brigde 37cm

width of movable brigde 85 cm

Will give brainless
This is due tomorrow at 12pm

Answers

Answer:

The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.

Which expressions are equivalent to 6 + 12x?

Answers

Answer:

Expressions A, C, D are equivalent

Step-by-step explanation:

Equivalent expressions:

Two expressions are equivalent if they give the same result. So

Option A:

3(2 + 4x)  =3*2 + 3*4x = 6 + 12x

So equivalent

Option B:

3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent

Option C:

5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.

Equal, so equivalent

Option D:

7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x

Equal, so equivalent.

Option E:

7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x

Different, so not equivalent.

Solve: 7.2h = 57.6 A. h= 0.8 B. h = 8 C. h = 50.4 D. h = 80

Answers

Answer:

B. h=8

Step-by-step explanation:

The answer is B. h=8. I know because I solved to get h by itself. First, I set up the problem.

7.2h=57.6

Then, I divided each side by 7.2, so I could get h by itself.

h=8

You can check to make sure this is correct by plugging in the value we got for h into the equation.

7.2(8)=57.6

In conclusion, the answer is B. h=8

In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.

Answers

Answer:

10

Step-by-step explanation:

Can't do that. I have to write some sort of explanation or the mods have a fit.

Side opposite = 5 √3

Sin(60) = √3 /2

Hypotenuse = x

Sin(60) = √3/2 = 5√3 / x

√3/2 = 5√3 / x                  Multiply both sides by x

x √3/2 = 5√3                    Divide both sides by √3

x/2 = 5

x = 10

The hypotenuse is 10 units long.

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

must be 14

Step-by-step explanation:

What is 1/2 + 2/3?, what is 2/3 multiplied by 3/4?

Answers

Answer:

Hi! The answer to your question is 1. [tex]7/6[/tex] and 2. [tex]1/2[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?

Answers

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]

So, the length of the other side is equal to 3.5 cm.

Find the difference. Write your answer in the simplest form. 7/10 -1/4

Answers

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Answer:

7/40 So sorry if I'm wrong!

Step-by-step explanation:

What is the solution to the equation?
19 + 13x = 32
Record your answer in the boxes
below.
00000.00
+/-
I give brainleist

Answers

Answer:

the answer is x=1

Step-by-step explanation:

minus 19 on both sides

then divide by 13 on both sides

I need helppppppppppppppppp

Answers

Answer:

Are you giving any exam or what?

Answer:

C. 3x^2-2x=0

Step-by-step explanation:

3x^2+2x=x(3x+2)=0

x=0 or 3x+2=0⇒3x=-2⇒x=-2/3

According to the AAA Foundation for Traffic Safety's American Driving Survey, U.S. drivers spend.

on average, 51 minutes behind the wheel each day. A researcher believes this is an overstatement.

To investigate, a random sample of 75 drivers were selected. The study revealed that the mean

time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of

18.8 minutes. Is there convincing evidence that the mean time behind the wheel for all U.S. drivers

is less than 51 minutes? Use a = 0.01.

Answers

Answer:

The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.

Step-by-step explanation:

U.S. drivers spend on average, 51 minutes behind the wheel each day.

This means that at the null hypothesis we test that:

[tex]H_{0}: \mu = 51[/tex]

Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?

This means that the alternate hypothesis is:

[tex]H_{a}: \mu < 51[/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.

51 is tested at the null hypothesis:

This means that [tex]\mu = 51[/tex]

The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.

This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]

Value of the test-statistic:

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

[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]

[tex]z = -2.12[/tex]

Pvalue of the test:

The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.

Looking at the z-table, z = -2.12 has a pvalue of 0.017.

Decision:

The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.

No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.

Given the following data:

Mean = 51.Number of drivers = 75 drivers.Sample mean (mean time) = 46.4 minutes.Standard deviation = 18.8 minutes.

What is a null hypothesis?

A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.

For the null hypothesis, we would test that:

[tex]H_o : \mu =51[/tex]

For the alternate hypothesis, we would test that:

[tex]H_a : \mu < 51[/tex]

The test statistics would be calculated with this formula:

[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

x is the sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.n is the number of drivers.

Substituting the given parameters into the formula, we have;

[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]

Z = -2.12.

What is a p-value?

In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.

From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.

In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.

Read more on null hypothesis here: https://brainly.com/question/14913351

On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.
Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.

Answers

Answer:

Step-by-step explanation:

On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.

(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)

lower limit

upper limit

(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.

Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.

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