8. Makayla and Haylee are selling oranges for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Haylee sold 6 small boxes and 12 large boxes for a total of $330. Makayla sold 12 small boxes and 4 large boxes for a total of $280. a. Write a system of equations that gives the cost of one small box of oranges and one large box of oranges.

b. Find the cost of a small box of oranges and the cost of a large box of oranges​

Answers

Answer 1

Answer:

x = 55 - 2y

y = 70 - 3x

x = 17

y = 19

Step-by-step explanation:

let x = small box

y = large box

6x + 12y = 330

12x + 4y = 280

6x + 12y = 330

6x = 330 -12y

6x/6 = (330-12y)/6

x = 55 - 2y

12x + 4y = 280

4y = 280 -12x

4y/4 = (280 -12x)/4

y = 70 - 3x

small box cost:

x = 55 - 2y

x = 55 - 2(70-3x)

x = 55 -140 + 6x

x - 6x = -85

-5x = -85

x = 17

large box

y = 70 - 3x

y = 70 - 3(17)

y = 70 - 51

y = 19


Related Questions

Plz plz plz plz plz

Answers

B
C

Hope this helps brotato chip

pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3

Answers

Answer:

i think its the 3rd option

Step-by-step explanation:

i'd'k what it is but you can read it over and over again

(p.s Brainleist?)

Answer:

x=22/3

Step-by-step explanation:

If x=5 and y=3 find the value of x+2y

Answers

Answer:

x=5

y=3

then ,

x+2y= 5+2 *3

= 5+6

= 10

pls help 3 x 2 + 6 (4+1) = ???

Answers

Answer:

17 IS THE ANSWER......................

Answer:

Your answer should be 36.

write 5 3/5 improper fraction

Answers

Answer:

28/5 is the answer.

Step-by-step explanation:

Multiply the denominator by the whole number

5 × 5 = 25 Then we add the answer from the last step to the numerator 25 + 3 = 28 next we write the answer from the last step over the denominator which is 28/5.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{5\dfrac{3}{5}}\\\\\mathsf{= \dfrac{5\times5+3}{5}}\\\\\mathsf{= \dfrac{25 + 3}{5}}\\\\\mathsf{= \dfrac{28}{5}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{28}{5}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

What is (n+9) - (2-2n)​

Answers

Answer:

Simplifying

(n + 9) + -1(2 + -2n) = 0

Reorder the terms:

(9 + n) + -1(2 + -2n) = 0

Remove parenthesis around (9 + n)

9 + n + -1(2 + -2n) = 0

9 + n + (2 * -1 + -2n * -1) = 0

9 + n + (-2 + 2n) = 0

Reorder the terms:

9 + -2 + n + 2n = 0

Combine like terms: 9 + -2 = 7

7 + n + 2n = 0

Combine like terms: n + 2n = 3n

7 + 3n = 0

Solving

7 + 3n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3n = 0 + -7

Combine like terms: 7 + -7 = 0

0 + 3n = 0 + -7

3n = 0 + -7

Combine like terms: 0 + -7 = -7

3n = -7

Divide each side by '3'.

n = -2.333333333

Simplifying

n = -2.333333333

Step-by-step explanation:

Pls solve this question

Answers

C) (0,-3) as makes the inequality true

Cuanto le mide a messi la tula ?

Answers

Answer:

5’7”

Step-by-step explanation:

te refieres a lionel messi? el mide 5'7 ".

Perdon, mi español no es muy bueno :)

if a diagram shows a square with perimeter 40cm whats the percentage of the area inside the square that is shaded

Answers

Answer:

5

Step-by-step explanation:

Eacl side of the square has a length of 5 cm.

Answer:

55%

Step-by-step explanation:

i assume your question is from mathswatch

And this is the answer for it!

Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the straight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)​

Answers

Answer:

8

Step-by-step explanation:

100 = x^2 + AC^2

17^2 = AC^2 + (21 - x)^2

289 = AC^2 + 21^2 + x^2 - 2*21*x

289 = AC^2 + 441 + x^2 - 42x

from 1st equation AC^2 + x^2 = 100

289 = 441 + 100 - 42x

289 = 541 - 42x

42x = 541 - 289 = 252

x = 252/42 = 6

so AC^2 = 100 - 6^2 = 100 - 36 = 64

AC = 8

Simplify the following expression.

5/6 x 3/5

Answers

Answer:

1/2

Step-by-step explanation:

5/6 • 3/5

15/30 = 1/2

Answer:

1/2

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5 × 3/ 6 × 5 = 15/30

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using

GCF(15,30) = 15

15 ÷ 15/30 ÷ 15 = 1/2

Therefore:

5/6 × 3/5 = 1/2

Solve the system.
y-x=4
x+y=6

Answers

Answer:

x=1 y=5

Step-by-step explanation:

y=4+x

x=y=6

x+4+x=6

y=4+x

2x+4=6

y=4+x

2x=2

y=4+x

x=1

y=4+x

y=5

x=1

If x # y = 2x + y, then 1 # 2 =

Answers

Answer:

1 # 2 = 4

Step-by-step explanation:

1 # 2 = 2*1 + 2 = 2 + 2 = 4

7th grade math please help

Answers

Answer:

11.8

Step-by-step explanation:

brainlest

Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)

Answers

answer is 2.2 66 88862 u88272

Alexander and his friends are going into a restaurant. How much would it cost to buy 2 hotdogs and 40 chicken wings if each hotdog costs $4.00 and each chicken wing costs $0.50? How much would it cost to buy 22 hotdogs and 4040 chicken wings if each hotdog cost \$h$h and each chicken wing cost \$c?$c?

Answers

2 * 4
$8.00 - hot dogs

40 * 0.50
$20.00 - chicken wings

$28.00 total
4+4= $8 for 2 hotdogs
40 x by .50= $20 for the wings


22x4= $88 for 22 hotdogs
4040x.50= $2020 for 4040 wings

HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.

Answers

Answer:

(2, 2)

Step-by-step explanation:

Add up the equations, it will eliminate x as variable:

3x + 6y - 3x + 4y = 18 + 210y = 20y = 2

Find the value of x:

3x + 6*2 = 183x + 12 = 183x = 6x = 2

Given : -

3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)

To find : -

Solution x and y?

Solution : -

3x + 6y = 18

-3x + 4y = 2 +

10y = 20

y = 20/10 = 2

[tex] \: [/tex]

3x + 6y = 18

3x + 6(2) = 18

3x + 12 = 18

3x = 18 - 12

3x = 6

x = 6/3 = 2

[tex] \: [/tex]

(2 , 2)

if a number became 2.5 times smaller, what precent was it decreased by

Answers

Answer:

25 percent because when you change it in percent it came25 percent

help me please with my math

Answers

Answer:

P = 47.1 units

Step-by-step explanation:

the perimeter of the pair of straight opposite sides is 11+11, or 22

now you have 2 semi-circles, which equals 1 full circle which, if we find the circumference to then we just add it to 22 to get the entire answer

Circumference of circle with diameter of 8:

C = 2πr

C = 2π(4)

C = 8π

C = 25.13

now add 22 + 25.13 to get 47.1 rounded to nearest tenths place

lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees​

Answers

Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.

Since the amount of chocolate decreases as the number of attendees increase;

We use inverse variation to model the scenario :

y = k/x ; k = constant of proportionality

Taking any pair of points :

3000 = k/8

k = 3000 × 8

k = 24000

Hence, the constant of variation is 24000

The variation expression is y = 24000/x

This means that the total cost of organising the gettogether is to be shared equally among the attendees

Therefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.

Learn more :https://brainly.com/question/25480062

What is the value of x in the triangle?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

[tex] \tan(30) = \dfrac{x}{15} [/tex]

[tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

[tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

[tex]x = 5 \sqrt{3} [/tex]

If Martin buys a coke for $1.85 on a credit card that charges 22% interest compounded monthly what will the coke actually cost him if he does not pay the credit card off in five years?

Answers

Using compound interest, it is found that the coke will actually cost him $5.50.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem:

The coke is bought for $1.85, hence [tex]P = 1.85[/tex].The interest rate is of 22%, hence [tex]r = 0.22[/tex].It is compounded monthly, hence [tex]n = 12[/tex].Five years, hence [tex]n = 5[/tex]

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(5) = 1.85\left(1 + \frac{0.22}{12}\right)^{12(5)}[/tex]

[tex]A(5) = 5.50[/tex]

The coke will actually cost him $5.50.

A similar problem is given at https://brainly.com/question/14239300

BA is congruent to BC and DA is congruent to EC. Prove BD is congruent to BE.

Answers

Answer:

See below for answer.

Step-by-step explanation:

BA ≅ BC                         Given

DA  ≅ EC                       Given

BA + DA ≅ BC + EC      Congruent  parts are congruent

BD ≅ BE                        Addition

The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)​

Answers

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².

An art club sells 42 large candles and 56 small candles.



a. Use the Distributive Property to write and simplify an expression for the profit.

expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:

b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?

club's profit: $

Answers

Answer:

(700-42-56)

Step-by-step explanation:

10-x

5-y

4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y

- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?​

Answers

(a) One possibility is 8.45

Rounded to the nearest integer = 8

Rounded to the nearest tenth = 8.5

And rounding this to the nearest integer = 9

 

(b) The possible numbers are 8.45 to 8.49, inclusively

Answer:

Table is below in explantation

Not proportional

yes, linear

Step-by-step explanation:

We substitute and solve:

TABLE:

X --> Y

0 --> -2 (0-2 = -2)

1 --> -1

2 --> 0

Yes, it is linear, the slope is 1 and is written in slope - intercept form

No, not proportional, the y - intercept is (0, -2) not (0,0)

Which shows the prodcuts orderd from least to greatest

Answers

Bottom left

——————
——————

1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).

Answers

Answer:

hope this helps :)

A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB

Answers

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

The equation of line AB is y= -2x +17

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum​

Answers

Answer:

Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.

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