14. On Monday, a work group eats at Ava's café,
where a lunch special is $8 and a dessert is
$2. The total is $108. On Friday, the group
eats at Bo's café, where a lunch special Is
$6 and a dessert is $3. The total is $90. Each
time, the group orders the same number of
lunches and the same number of desserts.
How many lunches and desserts are
ordered?
what the x and y value.

Answers

Answer 1

Answer:

no. who eat lunch special = 12

no. who eat dessert = 6

Step-by-step explanation:

Let x = no. who eat lunch special

y = no. who eat dessert

(1)    8x + 2y = 108             (2)    6x + 3y = 90

 Divide thru by 2                         Divide thru by 3

      4x + y = 54                          2x + y = 30

     -2x - y = -30

       2x = 24

         x = 12                               2(12) + y = 30

                                                    24 + y = 30

                                                            y = 6

                                                 


Related Questions

the number is a 5 digit number.the value at ones and tens place is the highest single digit number .the hundreds place is double the thousands..the thousands place is double the ten thousands place is number 2 . write the numeral

Answers

Answer:

24,899

Step-by-step explanation:

You have 2 different savings accounts. For Account​ A, the simple interest earned after months is ​$1.90. For Account​ B, the simple interest earned after 18 months is ​$22.05. If the interest rate is 3.8% for Account A and 2.1% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.

Please help i need to turn it in soon!!

Answers

Answer:

The computation is shown below;

As we know that

The simple interest is

Simple interest = Principal × rate × time

For Account A, the principal would be

2 = Principal × 3.2% × 3

So, the principal is $20.83

For account B, the principal would be

38.50 = Principal × 2.2% × 30

So, the principal is $58.33

Now the interest for both the accounts are as follows

For account 1

= $20.83 × 3.2%

= $0.67

And, for the account 2

= $58.33 × 2.2%

= $1.28

As it can be seen that the account 2 has the highest interest

The same is to be considered

Step-by-step explanation:

A researcher plans to study the causal effect of a strong legal system on economy, using data from a random sample of U.S. counties. The researcher plans to regress national income per capita on whether the country has a strong legal system or not (an indicator variable taking the value 1 or 0, based on expert opinion). Do you think this regression suffers from omitted variable bias

Answers

Answer:

Based on expert opinion the regression does not suffer from omitted variable bias

Step-by-step explanation:

Based on expert opinion the regression does not suffer from omitted variable bias because its indicators taking values of 1 and 0 where 1 would represent taking action by the legal system  and 0 would represent not taking action by the legal system. as

The researcher plans to regress national income per capita based on the effect of the legal system

applying the formula for addressing omitted variable bias ( attached below )

Which situation would most likely show a positive association?
O A. the age of a car and its resale value
O B. the weight of a dog and the amount of food it eats per day
o C. the number of minutes exercised per day and a person's weight
o D. the amount of time a boy plays video games and his grade in math

Answers

Answer:

B. the weight of a dog and the amount of food it eats per day.

This is because dogs only eat around 1/3 of their body weight a day, hence the dogs weight having a positive comparison value to the weight of the food that it eats.

Hope this helps!

Answer: B

The probability of buying a small car is 1. What does that mean?
It is unlikely.
It is impossible.
It is definite.
It is likely

Answers

Answer:

it is unlikely if it is one out of 5

Step-by-step explanation:

What is spread of data on a dot plot?​

Answers

The spread of the data is the RANGE of the plot

Answer:

The spread is the range of the data. :)

Can you guys help? Another question about writing out an equation of the line shown in the graph

Answers

Answer:

Step-by-step explanation:

1. find the greatest mass
that can be taken on exact
number of times from 360g
504g, and 672 g​

Answers

Answer:

72g

Step-by-step explanation:

I hope it's right I figured it out by common factor

A desk that is originally $130 is discounted by 45%. What is the sale price?

Answers

Answer:

$71.5

Step-by-step explanation:

130* (1-45%)

Answer:

$71.5

HOPE THIS HELPS :)

Sadie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 316 people went to The Youth Wing, 497 people went to Social Issues, and 460 went to Fiction and Literature. On Sunday, the library had 1400 total visitors. Based on what Sadie had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number..​

Answers

Answer:

347

Step-by-step explanation:

Total visitors on Saturday:

316 + 497 + 460 = 1273

Proportion of people who went to The Youth Wing on Saturday:

316/1273 = 0.248

Expected number of people to visit The Youth Wing on Sunday:

1400*0.248 = 347 (rounded)

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Answers

Answer:

2+2=4

Step-by-step explanation: big brain

6ft to 74in as a fraction in lowest terms

Answers

6ft to 74in as a fraction in lowest terms is 36/37in

Answer:

[tex]\frac{72}{74}[/tex] or [tex]\frac{36}{37}[/tex]

Hope that this helps!

it takes four jars of in to record the store's inventory for 12 weeks at that rate how many jars of ink do you need to keep track of inventory for 33 weeks​

Answers

Answer:

11

Step-by-step explanation:

So every 12 weeks there are 4 jars right? right.

1.) Divide 33 by 12 and you will get 2.75

2.) Then multiply 2.75 by 4 and you will get 11!

The problem is a bit hard to understand but I hope I answer your question correctly! Have a great day! :)

What is the answer to this

Answers

The answer is H(-5) = 17

Answer:

-23

Step-by-step explanation:

h(-5) = 4 * -5 - 3 = -20 - 3 = - 23       .... x ≥ -5

Find the measure of 45.
65 = [?]
697
45
Enter

Answers

Answer:

Solution given:

<5+69=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

Same side ineterior angles aree supplementary

<5+69=180<5=180-69<5=111°

Step by step explanation please!!

Answers

Answer:

what do you mean on the question?

Step-by-step explanation:

plz help FREE BRAINLIST AND ALOT OF POINTS!!
TRUE or False? .Probability works for random games of chance .

True
False

Answers

Answer:

True

Step-by-step explanation:

Pretend you are playing a marble game. All the marbles are in a bowl. You notice there are more green than red and blue marbles so you will be most likely to get the green marble.

PLEASEEEEE HELP WITH BOTH OF THEM. I’LL MARK BRAINLIEST!

Answers

Answer:

its not clear

Step-by-step explanation:

The answer to number 2 is $1,004.80
I’m not sure about 3, i don’t know if she has a money or space limit



The radius is 8 and we need to find the circumference
First find the diameter by multiplying 8 by 2
Next multiply the diameter by pi
16•3.14=50.24
The cost of fencing is $20/ft
50.24•20=$1,004.80

F(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)


r1 represents first root, r2 represetnts second root


What are the roots?
Remember, x-r1 = 0 and x-r2=0

Answers

Answer:

f(x) = (x - 3)(x - 4)

Step-by-step explanation:

f(x)= x^2 -7x +12 factors immediately into f(x) = (x - 3)(x - 4

The roots are 3,4

Plz help!!!

Which equation represents the graph?

Answers

Answer:

Option C : y=|x|-6

Step-by-step explanation:

Erica saw a skateboard on sale for $45.56. The original price of the skateboard was $75.99. What is the approximate percent discount on the skateboard? Round to the nearest whole percent.

Answers

Answer:

60%

Step-by-step explanation:

45.56/75.99 x 100 = 59.9

Rounded = 60%

Hello!

Discounts! I struggle myself with these, but a common method can help you find the price.

First, we'll subtract 45.56 from 75.99, to get our discount factor.

75.99 - 45.56 = 30.43

Now, we have to figure out the percentage of said factor. How much of 75.99 is 30.43. We must divide discount factor by original number.

30.43 ÷ 75.99 = 0.40044742729306 which would be equal to 40.044742729306%

Lastly we round 40.044742729306% to the nearest whole percent.

Our final answer is: 40%

waffletowne

From the roof of a house the angle of depression of
the top of a tree 20 ft. high was found to be 30°. If
the distance between the house and the tree is
10√2 find the height of the house.​

Answers

Answer:

GB = CD = 20 ft, GC = BD = 10√3 ft, ∠FAC = 30°, AB = ? Or, AG = 10 ft. hence, the height of the house (AB) = 30 feet is the required answer.

Which equation has infinitely many solutions?
es
A)
8x + 3
= 2x + 4
2
B)
15x + 5
= 5x + 2
3
C)
8x45
8x + 5
= 8x + 6
2
D)
9x + 6
= 3x + 2.
3
+ 2

Answers

Answer:

its c

Step-by-step explanation:

Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)

Answers

Answer:

Plane 1:  rate = 245 mph

Plane 2:  rate = 98 mph

Step-by-step explanation:

Plane 2:  Let r = rate

                    d = 5r

Plane 1:    2.5r = rate

                    d = 5(2.5r)

5(2.5r) - 5r = 735

12.5r - 5r = 735

7.5r = 735

r = 98

line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b

Answers

Answer:

-8/1

Step-by-step explanation:

Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.

Here's another example:

If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.

Pls help I’ll brainlest

Answers

13/15 because you’re just adding the ones that aren’t blue. Trust me

Answer:

(D) 13/15

Step-by-step explanation:

Well there are 15 marbles in total.

There are 2 marbles that are blue

The qusection asks for the probability of NOT a blue

so 13/15

I WILL GIVE BRANLIY IF YOU ARE RIGHT

Answers

Answer:

B

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.

Answers

Answer:

?

Step-by-step explanation:

the choices, the question?

Help? I forgot everything about this.

In the figure shown, KN is parallel to LM.


When comparing KJN and LJM, Tara states that
Explain why Tara’s statement is correct.

Answers

Answer:

Triangle KJN is just a scaled down version of triangle LJM, so the angles are the same.

Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

From the given figure, KN is parallel to LM.

Here, ∠KJN = ∠LJM (Reflexive property)

Hence, Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ2

Jenelle draws one card from a standard deck of 52 cards.
Determine the probability of drawing either a jack or a queen?
Write your answer as a reduced fraction.
Answer =
Determine the probability of drawing either a jack or a spade?
Write ydur answer as a reduced fraction.
Answer =

Answers

Answer:

First Answer = 2/13

Second Answer = 4/13

Step-by-step explanation:

1. There are 52 cards in a standard deck. There is also a total of 4 jacks and 4 queens of these 52 cards. So, the probability of drawing either a jack or a queen after one pick would be 8/52 = 2/13.

2. There are 4 jacks, and 13 spades. However, one of those jacks is a jack of spades. So, instead of 17 possible picks, one overlaps, resulting in 16 possible picks. This is represented by 16/52 = 4/13.

The probability of drawing either a jack or a queen is 2/13 or 15.38%. In turn, the probability of drawing either a jack or a spade is 15/52 or 28.84%

Since Jenelle draws one card from a standard deck of 52 cards, to determine the probability of drawing either a jack or a queen, and to determine the probability of drawing either a jack or a spade, the following calculations must be performed:

Jack + Queen = 4 + 48/52 = X2/13 = X0.1538 = X

Jack + Spade = 4 + 1115/52 = X0.2884 = X

Learn more in https://brainly.com/question/17193366

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