Michael and Ming-Wei are selling fruit for a school fundraiser. Customers can buy small boxes of
oranges and large boxes of oranges. Michael sold 3 small boxes and 14 large boxes for a total of $203.
Ming-Wei sold 11 small boxes and 11 large boxes for a total of $220. Find the cost of each size box.

Answers

Answer 1
L = large boxes S=small boxes
3s + 14l = 203
11s + 11l =220
You can eliminate a variable, I'm going to eliminate s but from the 2 equation since it's easier to do the math. I'm going to multiply the equation by -3. I'm going to multiply the first one by a positive 11.
-33s-33L=-660
33s + 154L= 2233
121L=1573
1573÷121 =13
So one large box equals 13, now find the price of a small by plugging it into an equation.
3s + 14 (13)=203
3s+ 182 =203
203-182=21÷3=7
Now a small equals 7, check if both are correct by putting it into another equation.
11 (7)+11 (13)=220
77+143 =220
220=220
A small equals $7, while a large equals $13.

Related Questions

The daily production cost, C, for x units is modeled by the equation: C = 200 – 7x + 0.345x2 Explain how to find the domain and range of C

Answers

domain is the sex of x values that are feasible. this is all of the positive integer values + 0, in case you only consider that can produce whole units.

range is the set of possible results for c(x), possible costs.

you can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y intercept, the shape. also limit the costs to be positive.

you can substitute some values for x to help you, for example.

x y
0 200
1 200 - 7 + 0.345 = 193.345
2 200 - 14 + .345(4) = 187.38
3 200 - 21 + .345(9) = 182.105

the function does not have real roots, then the costs never decrease to 0.

the function starts at c(x) = 200, decreases until the vertex, (x = 10, c = 164.5) and starts to increase

then the range goes to 164.5 to infinity, limited to the solution for x = positive integers.

Answer:

This is a quadratic function, which is usually defined on all reals. But, the domain is restricted to x>=0 because it does not make sense to produce a negative number of units.

Find the vertex of the parabola at

(10.14, 164.5)

Since the parabola opens up, the range is y>=164.5

Step-by-step explanation:

An investor purchased a house 8 years ago for ​$48,000 This year it was appraised at ​$73,500 Complete parts​ (a) through​ (d) below. ​(a) A linear equation V=mt+b,0

Answers

Answer:

b = $48000, m = $3187.5 / year

Step-by-step explanation:

The equation of a linear function is given as y = mx + b, where m is the rate of change, b is the value of y when x = 0, y = dependent variable and x = dependent variable.

Given that V = mt + b:

b = initial price of the house at 0 years = $48000

V = mt + 48000, At 8 years the house is appraised at ​$73,500

73500 = 8m + 48000

8m = 73500 - 48000

8m = 25500

m = 3187.5

Find the midpoint between
(3,8)
and
(-10,5)

Answers

Answer:

(-3.5,6.5)

Step-by-step explanation:

See the photo for step-by-step explanation

Answer:

(6.5,1.5)

Step-by-step explanation:

HELPPP PLEASE!!!
The store has 61 guppies divided into 8 aquarium tanks, and a small display aquarium on
the sales counter. Each of the 8 tanks has an even number in them with the remaining
guppies in the display aquarium. How many guppies are in each aquarium and in the
display aquarium?

Answers

Answer:

5 in display, 7 in each aquarium.

Step-by-step explanation:

It will take five builders 62 days to complete a particular project. At this rate, how long would the project take if there were only two builders?(SHOW WORK)

Answers

Answer:

2 builder complete work = 155 days

Step-by-step explanation:

Given:

5 builder complete work = 62 days

So,

1 builder complete work = 62 days × 5

if,

2 builder complete work = [62 days × 5] / 2

2 builder complete work = 155 days

I NEED HELP ASAP
Evaluate the expression for r = –3.
15 + 6r =

Answers

Answer: -3

Step-by-step explanation:

Since we are given the value of r, we can plug that value into the expression and solve.

15+6(-3)              [multiply]

15-18                   [subtract]

-3

Now, we know that the expresison is equal to -3.

how do I do this :( I tried but I can’t figure out how to

Answers

Answer:

Step-by-step explanation: got you

slope 2/3

x   |    y

0      -1

2/3    0

You can type the same equation in desmos.com. Press graphing calculator and graph the equation it should give you the answer

HELP I NEED THIS ANSWERED QUICK!​

Answers

Answer:

d is correct

Step-by-step explanation:

d is the answerrrr ahhhhhhh

please help soon!!!
find the sum of the series
30
Z = (2k-1)
k=3

Answers

Hope this helped! The answer is z=5
Wait hold on you can send pictures on here !!!!!

Oceanside bike rental shop charges 11 dollars plus 6 dollars an hour for renting a bike. Joan paid 35 dollars to rent a bike . How many hours did she pay to have the biked checked out?

Answers

Answer:

4 hours

Step-by-step explanation:

what is 9b = 8b − 16

Answers

Answer:

b = -16

Step-by-step explanation:

9b = 8b - 16

9b - 8b = -16

b = -16

Seven more than the product of five and a number is 45.

Answers

Answer:

7+(5n)=45

n= 7.6

Step-by-step explanation:

f(x) = 3x5 – 15x3 + 12x

Answers

Answer:

f(x)=3⋅5−15⋅3+12x

Simplify each term

f(x)=15−45+12x

Subtract 45 from 15

f(x)=−30+12x

scale factor 0.1 is it en large preserve or reduce

Answers

Answer:

Stay the same

Step-by-step explanation:

1 * x = x it will stay the same

what is 6/6 in a reduced fraction

Answers

Answer:

1

Step-by-step explanation:

Step 1:

6 ÷ 6

Answer:

1

Hope This Helps :)

Which equation represents a line which is parallel to the line y=-3/4 x -2

Answers

Answer:  Any equation that is of the form y = -3/4x + b, where b is a real number, will be parallel to y = -3/4x - 2.

Step-by-step explanation:

A parallel line has the same slope as the original line.  Therefore, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.

The equation  y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2

What is a linear function?

A function that can be represented in the form of y =mx +c, is called a Linear Function. where m is the slope and c is the y-intercept.

The slope of the given line can be found as;

A parallel line has the same slope as the original line.  Thus, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.

Any equation that is of the form y = -3/4x + b,

where b is a real number, will be parallel to the equation.

y = -3/4x - 2.

m = -3/4

The equation  y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2

To know more about Linear Functions;

brainly.com/question/21107621

#SPJ2

HELP ME PLEASEEE. I WILL MARK U BRAINLIESTTTT.

Answers

Edgenuity’s sample response for this question:

Sublimation occurs because the atoms in a solid must gain enough energy to form a gass without passing through the liquid state. Low air pressure and large amounts of energy, often in the form of heat, allow the atoms to move fast enough to overcome the attractive forces between them.

If you need an original response here’s my take!!:

Sublimation happens when a solid turns directly into a gas. For this to happen, there must be low air pressure and immense heat energy. This allows atoms to quickly move and perform sublimation.

a classroom has 24 desks. if the students arrange the desks to 4 rows how many desks will be in each row explain.

Answers

24/4= 6 so there would be six desks in each row
Answer:

6 desk in a row
Explanation:

There is 24 desks total divided by 4 rows which equals 6. And if you want to check if this is correct reverse the operation by multiplying 6 x 4.

MY NOTES
ASK YOUR TEACHER
According to the Bureau of Labor Statistics, in a recent year, there were 16,359,000 women aged 25 to 34 who were employed and 5,309,000
who were unemployed but looking for work. What is the rate per 1,000 women aged 25 to 34 who were employed? Round to the nearest whole
number.

Answers

Answer:

The rate of employed per 1000 women is 754

Step-by-step explanation:

Given

Employed = 16,359,000

Unemployed = 5,309,000

Required

Rate per 1000 women of employed

In this case, Rate is calculated by dividing employed by total women

i.e.

[tex]Rate = \frac{Employed}{Employed + Unemployed}[/tex]

[tex]Rate = \frac{16359000}{16359000 + 5309000}[/tex]

[tex]Rate = \frac{16359000}{21668000}[/tex]

Represent the denominator as a factor of 1000

[tex]Rate = \frac{16359000}{21668 * 1000}[/tex]

Divide

[tex]Rate = \frac{754.288086}{1000}[/tex]

Approximate

[tex]Rate = \frac{754}{1000}[/tex]

Hence, the rate of employed per 1000 women is 754

2x + 3 = 7
I'm confused​

Answers

The answer is x=2

move all terms that dont contain x to the right side and then solve.

Answer:

x=2

Step-by-step explanation:

Sorry the picture is sideways, I was trying to fit everything in lol.

Which equation can be represented using the number line?

A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.
Three-fourths divided by one-eighth = 6
One-eighth divided by three-fourths = 6
6 divided by three-fourths = one-eighth
6 divided by one-eighth = three-fourths

Answers

Answer:

a

Step-by-step explanation:

The equation which can be represented using the picture displayed on the number line is Three-fourths divided by one-eighth = 6

The distance between each marked line on the number line is 1/8

The length of the number line is 3/4

The number of steps or marked points can be obtained using the relation :

Length of line ÷ Distance between each marked points

3/4 ÷ 1/8 = 6

Therefore, the expression which represents the scenario on the number line is 3/4 ÷ 1/8 = 6

Learn more :https://brainly.com/question/18112348

Please answer the equation in the attachment.

Answers

Answer:

the missing value is 9.33.

Step-by-step explanation:

given,

length (l) = 3x+2

breadth (b) = 4

perimeter(P) = 68 cm

now,

P = 2(l+b)

or, 68 = 2× ( 3x+2+4)

or, 68 = 2× ( 3x+ 6)

or, 68 = 6x+12

or, 68 - 12= 6x

or, 56 = 6x

or, 6x = 56

or, x = 56/6

or, x = 9.33

True or False: A slope of 0 means the line dosen't move up or down, it is flat​

Answers

Answer:

Step-by-step explanation: yes

Given the triangle that has a base of five less than triple the height. The height is 2x+6.




Part A: Determine the expression that represents that area of the triangle.

Answers

Answer:

         A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

How do you know if a whole number is a perfect square?

A. A whole number is a perfect square if it is divisible by 4.

B. A whole number is a perfect square if its square root is an irrational number.

C. A whole number is a perfect square if it is divisible by 2.

D. A whole number is a perfect square if its square root is a whole number.

Answers

D because if you can square root it into a whole numbers then it’s a perfect square

Use implicit differentiation to find the slope of the tangent line at the given point:

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx}\Big|_{(1, 1)}=0[/tex]

Step-by-step explanation:

We are given the equation:

[tex](x^2+y^2)^2=4x^2y[/tex]

And we want to find the slope of the tangent line at the point (1,1).

Recall that the slope of the tangent line to a point of a function is given by the function's derivative.  

Thus, find the derivative of the equation. Take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=\frac{d}{dx}\left[4x^2y\right][/tex]

Let's do each side individually.

Left:

We can use the chain rule:

[tex](u(v(x))'=u'(v(x))\cdot v'(x)[/tex]

Let v(x) be x² + y² and u(x) is x². Thus, u'(x) is 2x. Therefore:

[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=2\left(x^2+y^2\right)\left(\frac{d}{dx}\left[x^2+y^2\right]\right)[/tex]

Differentiate:

[tex]\displaystyle \frac{d}{dx}[(x^2+y^2)^2]=2(x^2+y^2)\left(2x+2y\frac{dy}{dx}\right)[/tex]

Factor. Therefore, our left side is:

[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)[/tex]

Right:

We have:

[tex]\displaystyle \frac{d}{dx}\left[4x^2y\right][/tex]

We can move the constant multiple outside:

[tex]\displaystyle =4\frac{d}{dx}\left[x^2y\right][/tex]

We will use the Product Rule:

[tex]\displaystyle =4\left(\frac{d}{dx}\left[x^2\right]y+x^2\frac{d}{dx}\left[y\right]\right)[/tex]

Differentiate:

[tex]\displaystyle =4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]

Therefore, our entire equation is:

[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)=4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]

To find the derivative at (1,1), substitute and evaluate dy/dx when x = 1 and y = 1. Hence:

[tex]\displaystyle 4((1)^2+(1)^2)\left((1)+(1)\frac{dy}{dx}\right)=4\left(2(1)(1)+(1)^2\frac{dy}{dx}\right)[/tex]

Evaluate:

[tex]\displaystyle 4((1)+(1))\left(1+\frac{dy}{dx}\right)=4\left(2+\frac{dy}{dx}\right)[/tex]

Further simplify:

[tex]\displaystyle 8\left(1+\frac{dy}{dx}\right)=8+4\frac{dy}{dx}[/tex]

Distribute:

[tex]\displaystyle 8+8\frac{dy}{dx}=8+4\frac{dy}{dx}[/tex]

Solve for dy/dx:

[tex]\displaystyle 4\frac{dy}{dx}=0\Rightarrow \frac{dy}{dx}=0[/tex]

Therefore, the slope of the tangent line at the point (1, 1) is 0.

-90 divided by (-9) can somebody help me please and also do it STEP BY STEP please this is Algebra 1 please STEP BY STEP

Answers

Answer:

10

Step-by-step explanation:

It is a one step equation

-90 / -9

just divide 90 / 10 like you would regularly do, don’t forget about the negatives though.


your answer is +10


when you divide two negatives, your answer will always be positive

Help! 13 points!:) Geometry

Answers

Answer:  

For part A its called a ray.For part B it would be EA.

Step-by-step explanation:

Part A would be called a ray because B is the endpoint while C is continuous and a ray has only one endpoint.Part B is EA because E would be the endpoint while A would be continuous

Which number BEST represents point x on the number line? A) 56 B) 65 C) 78 D) 87

Answers

where is the number line

Step-by-step explanation:

$500 deposit over 20 years with an interest rate of 5%

Answers

Answer: $1,104

Step-by-step explanation:At the end of 20 years, your savings will have grown to $1,604.

You will have earned in $1,104 in interest.

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