Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner.

1.Write a system of equations that could be used to solve the problem. Define your variables.


2.Solve by any algebraic method (elimination/substitution). Work must be shown! How many people will choose a salad?

Answer:

y=2(4^x)

Step-by-step explanation:

exponential equation in form y=ab^x

sub both point and solve

8=a(b^1)=ab...(1)

32=a(b^2)....(2)

equation (2)/(1):

32/8=b

b=4

a=2

Answer:

the answer is .008 if my math is correct

Answer:

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Step-by-step explanation:

Given

x = midpoint of -5 and 11

y = absolute value of x

Required

Determine the value of y

First, calculate x.

[tex]x = \frac{1}{2}(-5 + 11)[/tex]

[tex]x = \frac{1}{2}(6)[/tex]

[tex]x = 3[/tex]

y can then be represented as:

[tex]|y| = x[/tex]

[tex]|y| = 3[/tex]

Split:

[tex]y = 3[/tex] or [tex]-y = 3[/tex]

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Answer:

positive 8 i think

Step-by-step explanation:

-8=8

Answer: perhaps a rectangle with length L=6

if so , then P = 12 + 2w ---> (P-12)/2 = 2

and area A = 6w ---> w = A/6

IF i get it wrong im swwy ❤️✨

Step-by-step explanation:

Answer: 17.7

Step-by-step explanation:

[tex]tan x = \frac{7}{22} \\tan x = .318181\\inverse tan of .3181818= 17. 65[/tex]

Answer:

6x2 =12

Step-by-step explanation: when ever u see that just multiply

Answer:

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that [tex]\mu = 8, \sigma = 4[/tex]

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.56 - 8}{4}[/tex]

[tex]Z = 1.89[/tex]

[tex]Z = 1.89[/tex] has a pvalue of 0.9706

X = 1.48

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.48 - 8}{4}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

What number must you add to x² + 16x = 3 to complete the square 64: Option C

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

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Answer:

Yes, Elias got his food before reaching the potluck.

Step-by-step explanation:

Elias left home at 7:00 one morning, determined to make the ten-mile trip to Leaders on a bicycle. Soon thereafter, Elias' parent noticed he had forgotten his potluck dish on the kitchen table, got into the family car, and tried to catch up with the forgetful child. Elias had a fifteen-minute head start, and was pedaling at 12 mph, while the parent pursued at 30 mph. Was Elias reunited with his potluck food before reaching Leaders that day? If so, where? If not, at what time was the food delivered?

Let's set x as the time after the parent leaves as x (time after the first 15-minute headstart)

When the two meet, it means that the distance is equal. Remember, distance = time * speed.

Using this, we know that Elias had a 15-minute headstart at 12 mph, which means that he had 0.25 of an hour. Thus, Elias had a 0.25 * 12 mile headstart.

We can write this equation for the distance Elias traveled.

0.25 * 12 + 12 * x

And this equation for the distance his parent traveled.

30 * x

These equations need to be equal so that the two meet.

0.25 * 12 + 12 * x = 30 * x

Simplify.

3 + 12x = 30x

Subtract 12x from both sides.

3 = 18x

Divide both sides by 18.

x = 1/6

So, it took 1/6 of an hour, which is 10 minutes, for the parent and Elias to meet.

If Elias were to get the food before he reached the potluck, the distance he traveled (0.25 * 12 + 12 * x) needs to be less than 12.

Plug 1/6 in for x.

0.25 * 12 + 12 * 1/6 =

3 + 2 = 5

Elias traveled 5 miles before his parent met him.

So, Elias did get his food before reaching Leaders.

Just in case, let's double-check this answer.

Using the distance = speed * time formula, we know that time = distance/speed. Elias's parent had to travel 5 miles at 30 mph, so it would have taken 1/6 of an hour to drive 5 miles.

Elias traveled at 12 mph for 1/6 + 1/4 of an hour, so he traveled:

(1/6 + 1/4) * 12 =

(4/24 + 6/24) * 12 =

10/24 * 12 =

120/24 = 5 miles

Thus, the previous answer is right.

I hope this helps! Feel free to ask any questions!

Answer:

gbrggbtgrrbfrhrhhhhhthrghrjwhrhr

Step-by-step explanation:

g

g

g

g

gg

g

rwribfebrgvebisbvfdfjndfinfvijnijnvdiniwdiengueinrugbvhbigb

FOOOOOOOOOOOOOT YEEEEEEEEEEEEEET

Answer:

Yes

Step-by-step explanation:

He is correct because h which is how many hours he needs to work times $12 will give you $108 which is the total cost.

Answer:

c

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

45

Answer:

I don't know what you mean by "explain in words", but I'm assuming you were referring to point b.

Step-by-step explanation:

You have to see that the rate of change, the "speed" at which her elevation decreases is 0.25 feet/s, such that in 8 seconds she went down by 2 feet.

Thus, until 50, you just gotta do the calculation for that speed. You notice that she needs to go 30 feet, at a speed of 0.25 feet per second, or 1 foot every 4 seconds.

Answer:it can very

Step-by-step explanation:

It depends on which definition of 'whole numbers' you use.

Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.

However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.

Answer:

every natural number is a whole number, but, every whole number is not a natural number.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

More participants caught 6 fish than any other number.

We have given that,

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

More participants caught 6 fish than any other number.

To learn more about the random sample visit:

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Answer:

0.5

Step-by-step explanation:

I said soooosnsmmsmsms

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

all the other ones are incorrect.

Answer:

37.69

Step-by-step explanation:

Answer:r=7r =9 r=10

Step-by-step explanation:

Answer:

it's compliment is 55 degrees  (55+35 = 90 degrees)

it's supplement is 145 degrees (145 + 35 = 180 degrees)

Step-by-step explanation:

Answer:

it is thr 3rd answer hope it help you

Answer:

This would be (5.5,0)

Step-by-step explanation:

Hope it helped!

Answer:

x= -25

Step-by-step explanation:

Do 8 plus 17=25

x must be positive so -25

Answer:

40 B

Step-by-step explanation:

edge 2021