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Elena L [17]
3 years ago
7

Which system of inequalities is shown?

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

C. y>x

y>4

Step-by-step explanation:

the line passes y intercept (0,4) is y = 4

the line passes (0,0) and (5,5) is y = x

so, the system of inequalites of the shaded area is : y>x and y>4 (option C)

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A local hamburger shop sold a combined total of 763 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburgers s
Airida [17]
In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
x+63 = 763-x (add x to both sides) -> 2x+63 = 763 (subtract 63 from both sides) -> 2x = 700 (divide both sides by 2) x = 350. So we solved for x, which is hamburgers sold, which is what the question asks for, so your answer is 350 hamburgers were sold on Saturday
6 0
4 years ago
Suppose taxi fare from Logan Airport to downtown Boston is known to be normally distributed with a standard deviation of $2.50.
Mariulka [41]

Answer:

95% Confidence interval for taxi fare:  ($20.5,$24.2)

Step-by-step explanation:

We are given the following data set: for fares:

$22.10, $23.25, $21.35, $24.50, $21.90, $20.75, and $22.65

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{156.5}{7} = 22.35

95% Confidence interval:

\bar{x} \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

22.35 \pm 1.96(\frac{2.5}{\sqrt{7}} ) = 22.35 \pm 1.85 = (20.5,24.2)

6 0
3 years ago
A radio is giving away tickets to a play. They plan to give away tickets for seats that cost $10 and $20. They want to give away
Lemur [1.5K]
Then maybe do 20 times 28
3 0
3 years ago
Read 2 more answers
Brainliest &amp; points!<br> i need help with math asap, show work too if possible :)
qwelly [4]

Answer:

I think the answer is x is 16 and y is 20? I could be wrong tho

Step-by-step explanation:

First, subtract -7 from -1 to get 8.

Then, add the 12 and you get 16 for x.

First, subtract 7y from 9x to get 2y

Then, add 4 to get 20 for y.

4 0
4 years ago
Eggplant has a yield of 81%. If you purchase 12lb of eggplant, how many pounds will you be able to use?(round to the nearest hun
Aleonysh [2.5K]

Answer:

9.72 lb

Step-by-step explanation:

Yield = the amount or quantity produced or returned.

Given:

  • Yield of eggplant = 81%
  • Amount of eggplant purchased = 12 lb

To determine how many pounds of eggplant you will be able to use, calculate 81% of the amount of eggplant purchased.

\begin{aligned}\sf 81\% \: of \: 12 \: lb & = \sf \dfrac{81}{100} \cdot 12\\\\& = \sf  \dfrac{81 \cdot 12}{100}\\\\& = \sf \dfrac{972}{100}\\\\& = \sf 9.72\:lb\end{aligned}

Therefore, you will be able to use 9.72 lb (nearest hundredth).

Learn more about percentages here:

brainly.com/question/27998542

brainly.com/question/27975347

6 0
1 year ago
Read 2 more answers
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