A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

4x + 5y = 30.50  

11x + 14y = 84.50

The variable x represents the .

The variable y represents the .

The deli charges $ .

Answers

Answer 1

Answer:x=cost per pound of meat

Y=Cost per pound of cheese

The deli charges 4.50 for a pound of meat

Step-by-step explanation:

Answer 2

Answer:

The variable x represents the

✔ cost per pound of meat

.

The variable y represents the

✔ cost per pound of cheese

.

The deli charges $

✔ 4.50 for a pound of meat

.

Step-by-step explanation:


Related Questions

hey everyone! I need help with 2 things! the first one is what 9+(-8) and -5+-4​

Answers

Answer:

1.  9+(-8) = 1

2. -5+-4 = -9

Step-by-step explanation:

solve equation for Y. 23=5x-2y

Answers

Answer:

y=5/2x-23/2 or y=2.5x-11.5

Step-by-step explanation:

First, add 2y to move it to the other side of the equation. This should give you 2y+23=5x. Now, subtract 23, giving you 2y=5x-23. Divide the whole equation by 2 so that y will be by itself. Written in fraction form, it would be: y=5/2x-23/2. Written in decimal form: y=2.5x-11.5.

Subtract using the number line. - 1/3-(-1/2)​

Answers

Answer:

answer is 1/1

Step-by-step explanation:

There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)
(Please answer with explination)

Answers

Answer:

29/36*100 so ans will be 80.55555555555555555555555555555555555555

Step-by-step explanation:

16.43 in word form math

Answers

Answer:

Sixteen and forty-three hundredths

Step-by-step explanation:

Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?

Answers

Answer:

[tex]P(F/E) = 0.6[/tex]

Step-by-step explanation:

If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].

Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:

[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]

Here the two events given are [tex]E[/tex] and [tex]F[/tex].

[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]

and [tex]P(E) = 0.5[/tex]

As per the above formula that we have already discussed, the formula can be written as:

[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]

What is the u equal to -4=u/2-8

Answers

Answer:12. V is not needed, and just substitute the letters with the numbers the correspond to.

Step-by-step explanation:

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 120 cm^2?

Answers

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

[tex] A = \frac{1}{2}bh [/tex]   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

[tex] \frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b) [/tex]

We can find the base by solving equation (1) for b:

[tex] b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm [/tex]

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

[tex] 2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm) [/tex]

[tex]\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min[/tex]    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

Can y’all determine the measure of angle a

Answers

Answer:si

Step-by-step explanation:

identify the variables in 3a+7b(c-8)

Answers

A b and c are your variables
Hope this helps

Let the factors, a1, a2, … a9 of a9 be written in a square 3 by 3 array as indicated. Let a1 Help me plz

Answers

Answer:

61.2

Step-by-step explanation:

To solve this, we would have to use the arithmetic progression formula

S(n) = a + (n - 1) d, where

S(n) = is the value of the nth term

a = value of the first term

n = the nth term we're interested in

d = difference between successive terms

We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44

If so, we can use this to get our "d", saying

44 = 1 + (6 - 1) d

where

44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have

44 = 1 + 5d

5d = 44 - 1

5d = 43

d = 43/5

d = 8.6

This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term

S(n) = 1 + (8 - 1) 8.6

S(n) = 1 + 7 * 8.6

S(n) = 1 + 60.2

S(n) = 61.2

Therefore, the 8th term is 61.2

I have no idea what to do, i need the answer!!!

Answers

Answer:

y = -x - 6

Step-by-step explanation:

From point A, to get to point C, you would need to go down 2 and right 2 which is -2/2 and -2/2 is the same thing as -x.

The y-intercept is -6 because the line goes thorough -6 in the y axis.

Hope this helps and pls do mark me brainliest if you can:)

What is the equivalent ratios of 4:12

Answers

Answer:

8:24

Step-by-step explanation:

Just multiply 4*2 and 12*2

Hope it helps

Answer:

8:24, 24: 72, 16:48

Step-by-step explanation:

There's a lot just multiply them by the same number

What is the measure of 1 Explain

Answers

Answer:

what measure one

Step-by-step explanation:

What are u talking bout

There is no picture or anything

Answer:

I wish I could help.

Step-by-step explanation:

There is no picture or a complex explanation.

Which number is divisible by 3?
A) 1,794
B) 1,912
C) 1,270
D) 473

Answers

Answer:

Step-by-step explanation:

should be A.

-32-38r=84+-112r+-42

Answers

Answer:

Move r to left or right then divide the numbers

I need help with this please

Answers

What is the question
There was no question so I don’t know what to answer please post it again and I’ll see if I can solve it:)

Please help & thank you.

Answers

Answer:

9

Step-by-step explanation:

2(5y°) = 90° ⇒ y = 9

The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. The distribution of this particular variable is very right skewed.(a) Suppose we let (X-bar) be the mean number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that (X-bar) is less than 2?(b) Now let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the probability that X is less than 2?

Answers

Answer:

The probability that sample mean is less than 2  is 0.1423.

Step-by-step explanation:

Let X denote the number of accidents per week at a hazardous intersection.

It is provided that the mean and standard deviation of X are, μ = 2.2 and σ = 1.4.

(a)

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample size is not large enough, i.e. n = 9 < 30, the Central Limit Theorem cannot be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.

And since the distribution of X is not specified, the probability cannot be computed.

(b)

In this case, the sample size is large enough, i.e. n = 52 > 30, the Central Limit Theorem can be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.

Compute the probability that sample mean is less than 2 as follows:

[tex]P(\bar X<2)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{2-2.2}{1.4/\sqrt{56}})\\\\=P(Z<-1.07)\\\\=0.14231\\\\\approx 0.1423[/tex]

Thus, the probability that sample mean is less than 2  is 0.1423.

At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.

Answers

Answer:

This comes out to around 25 percent. Simply multiply 40 by 1/4 to get 10 dollars.

Step-by-step explanation:

Answer:

Step-by-step explanation:

40x0.085=3.4

40+3.4= 43.4

43.4x0.18=7.8

43.4+7.8=51.212$

what is the slope of (-4,-4) and (16,1)

Answers

Answer:

1/4

Step-by-step explanation:

-4 - 1 = -5

-4 - 16 = -20

-5/-20 = 1/4

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there is a weight limit of 2500 lb. Assume that the average weight of students, faculty, and staff on campus is 151 lb, that the standard deviation is 25 lb, and that the distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from the campus is to be taken:

a. What is the expected value of the sample mean of their weights?
b. What is the standard deviation of the sampling distribution of the sample mean weight?
c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lb?
d. What is the chance that a random sample of 16 persons on the elevator will exceed the weight limit?

Answers

Answer:

Explained below.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

a

The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.

b

The standard deviation of the sampling distribution of the sample mean weight is:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25[/tex]

c.

The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:

[tex]\text{Average Weight}=\frac{2500}{16}=156.25[/tex]

d

Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:

[tex]P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20[/tex]

The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number

Answers

Answer:

smaller number = - 12

larger number = -2

Step-by-step explanation:

x + y = - 14

x - y =    10                Add

2x = - 4                     Divide by 2

x = -4/2 = - 2

-2 + y = - 14               Substitute - 2 = x in x + y = - 14

y = - 14 + 2                Combine

y = - 12

I need help on this one

Answers

4. Find the area of each triangle. The formula is A=1/2(bh) so the area of the first triangle is 6, Bc 3•4 is 12, divided by 2 is 6.

The area of the second triangle is 24, because 6•8 is 48, divided by 2 is 24. And 24 is four times the value of 6, making the area scale factor 4.

Hope this helped!

Ava's cat is 3 pounds heavier than her puppy. if their combined weight is 27 pounds, how much does her cat weight

Answers

her cat weighs 16.5 pounds i think

Answer:

12

Step-by-step explanation:

(3+x)+x=27

2x+3=27

2x=24

x=12

Please help! BRAINLIEST to correct answer!

Answers

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[tex]2 {x}^{3} + 2 {x}^{2} - 40x = [/tex]

[tex]2x( {x}^{2} + x - 20) = [/tex]

[tex]2x(x - 4)(x + 5)[/tex]

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The correct answer is (( a )) .

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The first option is the correct one.

[tex]2 {x}^{3} + 2 {x}^{2} - 40x[/tex]

[tex]2x( {x}^{2} + x - 20)[/tex]

[tex]2x(x - 4)(x + 5)[/tex]

1+8 pls help me nowwwwww

Answers

Your answer would be 9

Answer:

9

Step-by-step explanation:

The answer is 9. You can figure it out by counting up from 8!

Chad wants to order pizza for a party, and he can spend no more than $45.
He'll order 4 large pizzas and a $5 salad. How much can he spend on each
pizza if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
A. Answer: $8 or less
B. Inequality: 5x + 4 < 45

C. Inequality: 4x + 5 < 45
D. Answer: $10 or less​

Answers

Answer:

Inequality: 4x+5<45, $10 or less

Step-by-step explanation:

Sallad costs $5. Therefore, the total cost of the pizzas is $40 ( $45-$5). Then since they are 4 pizzas, you find the quotient of ($40÷4)

What is the median 5,7,9,10,16,17,20

Answers

Answer:

10

Step-by-step explanation:

For an odd number of values, the median is the middle value when you write the values in ascending order.

5, 7, 9, 10, 16, 17, 20

The median is 10.

To finish a certain job in 8 days, 6 workers are needed. If it is required to finish the same job in 2 days advance, how many workers have to work? *
8 points

Answers

Answer:  96 workers

Step-by-step explanation:

First you multiply 8 and 6 then by 2.

8 x 6= 48

48 x 2= 96

96 workers to help the business

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