(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.
Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold

Answers

Answer 1

Answer:

Kay sold 6 boxes and Ayan sold 19 boxes

Step-by-step explanation:

Let x = number of boxes Kay sells

y = number of boxes Ayan sells

Then the equations will be:

[tex]x+y = 25\\x = y-13[/tex]

We can solve the system by using substitution method

Putting x = y-13 in equation 1

[tex]y-13+y = 25\\2y -13 = 25\\2y = 25+13\\2y = 38[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]

Putting y = 19 in equation 2

[tex]x = y-13\\x = 19-13\\x = 6[/tex]

Hence,

Kay sold 6 boxes and Ayan sold 19 boxes


Related Questions

You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?

Answers

$7.84 because $12.59-4.75= $7.84

Answer:

$7.84 more

Step-by-step explanation:

To find how much more you spent on dog food, find the difference between the two prices:

12.59 - 4.75

= 7.84

So, you spent $7.84 more on the dog food

Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to

$

15.95

plus a tax of

$

1.17

. He gave the waitress a $20 bill and two dimes.


How much change will Cody get back?

Answers

Answer:

2.88

Step-by-step explanation:

You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back

What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!

Answers

Answer:

11 ; 12°

Step-by-step explanation:

3x + 28 + 2x - 10 + 5x + 52 = 180

10x = 180 - 70

x = 11

m∠C = 2(11) - 10 = 12°

Answer:

Angle ACB = 12°

Step-by-step explanation:

All angles in a triangle always add up to 180°, which gives us an equation to solve for x:

3x + 28 + 5x + 52 + 2x -10 = 180

Combine like terms

10x + 70 = 180

Subtract 70 from both sides

10x = 110

Divide both sides by 10

x = 11

Now we know the value of x, we need to just plug it in to angle ACB's given value:

2(11) - 10 = Angle ACB

22 - 10 = Angle ACB

12 = Angle ACB

10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B

Answers

Answer:

12 boxes or C.

Step-by-step explanation:

Max = divide.

GCF=12.

LCM = 144.

Difference:

144/12 or 12.

So 12 boxes

Hope this helps :D

2. What are the slope and y-intercept of the
line described by y = 3x - 6?

Answers

Answer:

If your trying to find the slope and y-int of that equation:

Slope: 3

y-int: (0, -6)

Question 1:
Solve for k :

Answers

answer; -36

step by step explanation: divide 108 and -3 and because there is one negative it’d be -36


hope this helps

Answer:

Step-by-step explanation:

Equation:

-3k = 108

We need to separate -3 from k. So we must do the inverse operation.

Divide both sides by -3

k = -36

Hope this helps :)

Please consider Brainliest :)

A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?

Answers

Answer:

The rabbit is faster, as it has a speed of 44 mph.

Step-by-step explanation:

Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.

In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.

Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.

Factor 20w + 70.
i need help!

Answers

Answer:

10(2w+7)

Step-by-step explanation:

what is the solution set of the above question ?

Answers

Answer:

The solution set is { } or ∅ ⇒ empty set

Step-by-step explanation:

2x + 10 < 10

→ Subtract 10 from the two sides of the inequality

∵ 2x + 10 - 10 < 10 - 10

∴ 2x < 0

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]

x < 0

∴ The solutions are all the negative numbers

x ∈ N

N is the set of Natural numbers

→ The natural numbers start at 1 and include all positive whole numbers

N = {1, 2, 3, 4, 5, ..............}

∵ N does not contain any negative numbers

∴ The solution set is an empty set ⇒ ∅

The solution set is { } or ∅

i was doing fine until i came to this question please help
i dont know what its asking

Answers

x=6 because you must do this

6x-9=4x+3
Add 9 to both sides

It becomes
6x=4x+9

Then subtract 4x

It becomes 2x=12

Divide 2 by both sides

It becomes
X=12 divided by 2
Which of course is 6

X=6

Given the following number line, select all of the true statements.



|a| > |b|
a b
a > b
0 0

Answers

Answer:

b

Step-by-step explanation:

7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d

Answer:

doing this in oddseyware rn its is A C D F

mark brainlist

Step-by-step explanation:

Which of the following values are solutions to the inequality 4+2x\le 4?4+2x≤4?
\text{I.}\hspace{2px}0\hspace{20px}\text{II.}\hspace{2px}-4\hspace{20px}\text{III.}\hspace{2px}-3
I.0II.−4III.−3

Answers

I got 14 to the third power because when You multiply the quadratics

Ayudaaaa porfavorrr se los suplico me

Answers

Es la a por qué te dice que cuál es el volumen de una pelota y 2+2 da 4 pero no lo sé ‍♀️

Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.

Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.

Answers

The answer to this question is 7.404

Choose true or false for each statement.

Answers

Answer:

a:t

b:f

c:f

d:t

e:f

I think

A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.

Answers

Answer:

[tex]y=1.25x+1.5[/tex]

Step-by-step explanation:

Step one:

given data

let the manufacturing cost of the video game be x

25% of x

=25/100*x

=0.25x

the new price of the video game will be

=0.25x+x

=$1.25x

cost of shipping is given as $1.5

let the total cost of producing a video game be y

The expression for the total cost of one video game is given as

[tex]y=1.25x+1.5[/tex]

A polynomial function is represented by the data in the table.

x = -5, -4, -3, -2, -1
f(x) = -15, -6, 1, 6, 9

Choose the function represented by the data.

f(x) = 6x + 15
f(x) = −6x − 45
f(x) = x2 − 40
f(x) = −x2 + 10

Answers

Answer:

Step-by-step explanation:

F(x)=6x+15

f(x)=6(-15)+15

f(x)=-75

Answer:

D f(x)=-x2+10

Step-by-step explanation:

did on edge

Choose 3 side lengths that would create a right triangle in order from shortest to longest.

Answers

Answer:

Step-by-step explanation:

shortest-7

middle-24

longest-25


need help pls help :(

Answers

Answer:

Neither

Step-by-step explanation:

function A is  non linear

A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer:

£20

Step-by-step explanation:

Given that:

Total amount alloted = 2000

Ticket cost = 32

Discount = 1/4 off

Hence, ticket price = 3/4 * 32 = 24

Train ticket cost = 12

Total cost per person = £(12 + 24) = £36

Hence, alloted amount / cost per person

= £2000 / £36

= 55.55

Total number that can attend = 2 teachers and 53 students

Change = £2000 - (£36*55)

= £20

Find (g-)(x).
f(x)=1/x
g(x) = x^2+ 2x-5​

Answers

Answer:

C. x^2+ 2x-5​ - 1/x

Step-by-step explanation:

Givenf(x)=1/x g(x) = x^2+ 2x-5​To find(g-f)(x)Solution(g-f)(x) = g(x) - f(x) =x^2+ 2x-5​ - 1/x

Correct one is C

a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain

Answers

it’s a type of range

Answer:

relation

Step-by-step explanation:

i just took the test and got it wrong because of the other answer

You want to build a fence around a rectangular yard that is 15 ft. Wide and 25 ft. Long. Find the perimeter of the yard. If fencing costs $6.25 per foot, how much will the fence cost?

Answers

Answer:

$500

Step-by-step explanation:

25*2=50

15*2=30

15(2)+25(2)=80

80(6.25)=500

What is the exchange rate for converting British pounds (GBP) to Australian dollars (AUD)? Answer and get 50 dollars on cashapp, FIRST COME FIRST SERVER

Answers

1 Pound is equal to 1.81 Australian Dollars

1 Pound sterling equals  1.81 Australian Dollar

1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?


2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?

3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each piece

Answers

Answer: See explanation

Step-by-step explanation:

1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?

The time spent on each subject will be the remaining hours left divided by 7. This will be:

= 5 3/5 ÷ 7

= 28/5 ÷ 7

= 28/5 × 1/7

= 28/35 = 4/5 hours

Since 60 minutes make one hour

4/5 hours = 4/5 × 60 = 48 minutes

2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?

This will be:

= 6 3/4 ÷ 2 1/4

= 27/4 ÷ 9/4

= 27/4 × 4/9

= 3 boxes

3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each.

Joana ribbon = 12 1/4 meters

Joy's ribbon = 12 1/4 - 3 = 9 1/4 meters

We then add both length of ribbons and divide by 2. This will be:

= 12 1/4 + 9 1/4

= 21 1/2 meters

= 21 1/2 meters ÷ 2

= 43/2 ÷ 2

= 43/2 × 1/2

= 43/4

= 10 3/4 meters

Write the equation for the line that is parallel to the given line and that contains
the given point. Use the point-slope form of the equation of a line.*
(-3,4) y=-x-11

Answers

Answer:

x + y - 1 = 0

Step-by-step explanation:

y = -x - 11

therefore its slope is -1

x1= -3

y1 = 4

m = -1

from, y - y1 = m(x -x1)

y - 4 = -1(x + 3)

y -4 = -x -3

x + y -1 = 0

Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope

Answers

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.

help I need this asap I will give the brainiest

Answers

the pictures aren’t clear..

Is the square root of 13 a rational or irrational number? Explain.

Answers

Yeah rational number because 13 is an odd number in our numbers are always composite numbers buthelezi this helps

Answer: irrational

Step-by-step explanation:

PLEASEEE ITS EASY ALGEBRA 1 ):

Answers

Answer:

6, 7, and 8

Step-by-step explanation:

2x/3 + 7 > 11

Subtract 7 from both sides

2x/3 > 4

Multiply both sides by 3

2x > 12

Divide both sides by 2

x > 6

6, 7, and 8 are the ones that work

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