A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 91 kilograms. A delivery of 5 large boxes and 2 small boxes has a total weight of 78 kilograms. How much does each type of box weigh?

Answers

Answer 1

Answer:

the large box weight is 6.50 kg and the small box weight is 13 kg

Step-by-step explanation:

The calculation of each type of box weight is shown below:

Let assume the large box be x

And, the small box be y

Therefore

 3x + 8y = 91.......(i)

5x + 2y = 78.......(ii)

Multiply by 5 in equation 1 and by 3 in equation 2

15x + 40y = 455

15x + 6y = 234

Now deduct the last equation from the above one

34y = 221

y = 6.5 kg

For x, it is

3x + 8(6.5) = 91

3x + 52 = 91

3x = 91 - 52

3x  = 39

x = 13 kg

Hence, the large box weight is 6.50 kg and the small box weight is 13 kg


Related Questions

the cost for a company to produce x smartphones can be modeled by C(x)= 2x+35 and the company's total profit after selling x smartphones can be modeled by P(x)= -x^2+120x-435. which function below represents the company's revenue for selling smartphones? ( recall that profit equals revenue minus cost)
A) R(x)= -x^2+122x-400
B) R(x)= -x^2+118x-470
C) R(x)= -x^2+122x-470
D) R(x)= -x^2+122x+400

Answers

Answer:

D

Step-by-step explanation:

R(x) = -x^2+122x+400

HELP ME PLS BRAINLOEST AND POINTSS SKDKDLD

Answers

Answer:

No problem

Step-by-step explanation:

expression that is equivalent to 2 + s+s​

Answers

i may be wrong but i think A. sorry if im wrong

Pl help its for home work

Answers

Step-by-step explanation:

B

[tex]6x + 8y = - 2 \\ [/tex]

B is a multiple of A

[tex]3x + 4y = - 1 \\ if \: multiplied \: by \: 2 \\ = 6x + 4y = - 2[/tex]

and since the two systems A and B

have

[tex]2x + y = 5[/tex]

then the two systems have the same solution

Simplify √(1-cos)(1+cos)/cos^2

Answers

Answer:

Step-by-step explanation:

there u go!!

help please and thank you ​

Answers

Answer:

x=7

Step-by-step explanation:

You know that the 17x+11 and 19x-3 are equal because they are corresponding angles. Then, you would solve it like an algebraic equation:

17x+11 = 19x-3

Move all the like terms onto one side.

14=2x

It would be easier to look at if moved the x onto the left so it would look like this:

2x = 14.

Then divide by 2 and your answer should be 7.

Find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y= -2x + 2

Answers

Answer:

y = 1/2x + 1

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

What is the slope of the line passing through (5, -8) and (-6, -8) ?

Answers

Answer:

slope=0

Step-by-step explanation:

Chicken nuggets you welcome chicken.......nnnnugget

Plz help me get the right answer

Answers

Answer:

- 13x² + 7x + 6

Step-by-step explanation:

- 4x² + 6 - (9x² - 7x) ← distribute by - 1

= - 4x² + 6 - 9x² + 7x ← collect like terms

= - 13x² + 7x + 6

HEEEELP PLEASE :'). ThAAAANK YOUUUU

Answers

Answer:

2√5

Step-by-step explanation:

Answer:

sqrt(20)  (4.5)

Step-by-step explanation:

plug the coordinates into the distance formula to get the square root of 20.

Solve the following simultaneous equations by drawing graphs,
(a) x +y=7 and y=x-3
b) x + y = 8 and x=y

Answers

Answer:

a) x = 5 and y = 2

b) x = 4 and y = 4

Step-by-step explanation:

Here, we want to solve the simultaneous equations by graphing

We shall be using an external graphing tool for this

The point at which the lines intersect represent the solution to the equation

please check attachment for the plots

For the first equation, we have the solution as;

x = 5 and y = 2

For the second, we have;

x = 4 and y = 4

What is the slope of the line that passes through the points (3,−5) and (1,−5)? Write your answer in simplest form.

Answers

Answer:

-3 I believe is correct. Tell me if I'm wrong

Step-by-step explanation:

the city sales tax in your city is 4.4% and an item costs $3 before tax

Answers

Answer:

$3.13 after you add the tax.

Draw and ordered stem and leaf diagram to show this information.

2, 7, 13, 18, 20, 25, 27, 28, 32

Answers

Answer:

STEM | LEAF

_0 __ | 2, 7

_1 ___| 3, 8, 8

_2 __ | 0, 5, 7, 8

_3 __ | 2

Step-by-step explanation:

Given the data:

2,7,13,18,18,20,25,27,28,32

Prepare an ordered stem plot:

STEM | LEAF

_0 __ | 2, 7

_1 ___| 3, 8, 8

_2 __ | 0, 5, 7, 8

_3 __ | 2

KEY:

20 = 2 | 0

What is the circumference of a circle with a diameter of 12 m

Answers

Answer:

C = 37.68 (using 3.14)

if you use a calculator you would get 37.69911184

Step-by-step explanation:

C = [tex]2\pi r[/tex]

C = 2(3.14)r

C = 6.28(6)

C = 37.68 (aprox)

An expression is shown:

7350 ÷ 35

What is the value of the expression?
A.
2.1
B.
21
C.
210
D.
2100

Answers

Answer:

210 so C.

Step-by-step explanation:

Hope this helps :)

Answer:

C

Step-by-step explanation:

7350 divided by 35 is equal to 210.

What is the slope of a line with rise and run of 4?

Answers

slope = rise / run
slope = 4 / 4
slope = 1

Answer:

1

Step-by-step explanation:

slope is equal to "rise over run"

or = rise / run.

if you mean by  

a rise and a run of 4;

rise = 4 & run = 4,

then the slope is 4 / 4 = 1.

At the end of its first year of operations, Berganstein Sportswear had current
assets of $13,000, fixed assets of $25,000, current liabilities of $7,000, and long-term liabilities of $14,000. What is the amount of owner's equity?

Whoever answer this, thank you!

Answers

Answer:

Step-by-step explanation:

it will be 59,000 because i add it all up

Work out the surface area of this cylinder.
8 cm
16.8 cm

please give me the working out aswell not just a number

Answers

Step-by-step explanation:

First, you'd get the area of the circle, then multiply it by two (there's two ends to a cylinder)

so (pi)(R^2)

If 8 is the diameter, then 4 is the radius (r=1/2d)

3.14{pi}*16{4 squared}+=50.27

(50.27*2)= 100.54

Now, we need to find the area of the side of the cylinder. We have the given height of 16.8, and now we need to find the length. In order to do that, we must find the perimeter/diameter of the circle with the formula of Pi*Diameter.

if the diameter of the circle is 8, then 3.14*8=25.12.

25.12*16.8=422.016

now we need to add the area of the circles to get total surface area.

100.54+422.016= 522.556cm^2

I hope this helps!

The surface area of the given cylinder is 522.496 cm².

What is Cylinder?

A cylinder is a three dimensional figure which is formed by two parallel circular bases joined by a curved surface.

Center of the two bases is joined by a line called the axis of the cylinder.

Total surface area of cylinder can be found by the total of area of circular bases and the area of curved surface.

Total surface area = Area of Circular bases + Area of curved surface

                               = 2π r² + 2π r h

where r is the radius of the circular base and h is the height of the cylinder. π is the pi constant with value 3.14

Here, r = 8/2 = 4 cm and h = 16.8 cm

Total surface area = 2πr (r + h)

                               = 2π × 4 (4 + 16.8)

                               = 8π × 20.8

                               = 166.4π

                               = 166.4 × 3.14

                               = 522.496

Hence the surface area of the cylinder is 522.496 cm².

To learn more about Cylinder, click on the link :

https://brainly.com/question/27853279

#SPJ2

Brandy's Candies sells 250 types of candy, and 30% of them are lollipops. How many types of candy are lollipops?

Answers

Answer:

75

Step-by-step explanation:

When you have 100% of something, it's all of that one thing, right? So if you were to turn 100% into a decimal, it would be 1. This means you can divide any percentage by 100 to turn it into a decimal. So, 30%=.3. When you multiply something by 2, you get two of that thing, right? And just the same, when you multiply something by half, you get half of that thing. This means you can multiply 250 by .3 to get .3 of it, or, 30%.

250*.3=75

Can someone put this in order for me? Because I'm so confused.

Answers

Answer:

Step-by-step explanation:

[tex]24a-3(2a-5)=51[/tex]

Step 1: Let's solve first so we can order  it later.

[tex]24a-6a+15=51\\18a+15=51\\-15 -15\\\18a=36\\\\[/tex]

Divide 18 both sides.

[tex]a=2[/tex]

Ok so we have everything solved answer: a=2.

Now we need to order.

Step 1. Distribute 3.

Step 2. Combine like terms 24a and 6a.

Step 3. Subtract 15 from both sides.

Step 4. Divide both sides by 18.

Hope this helps :)

Which inequality is true?
1-50 < -100
-50 > 1-100
|--100 < 50
1-100) > 150

Answers

Answer:

1-100>150

Step-by-step explanation:

Find X
A. 50
B. 40
C.60
D.70

Answers

Answer:

b. 40

Step-by-step explanation:

The value of x (exterior angle) is equal to half of the difference of given arcs

(100 - 20) ÷ 2 = 40

the answer should be B

Solve for x.
78
5x-1
15x-3

Answers

Answer:

x=8

Step-by-step explanation:

Angle S and R are remote interior angles which means that they would add up to equal angle RQK.

78+5x-1=15x-3

Combine like terms

77+5x=15x-3

Add 3 on both sides

80+5x=15x

Subtract 5x on both sides

80=10x

Divide 10 on both sides

x=8

PLS HELP I WILL GIVE BRAINLIEST!
12. True or False: Habitat and environment are the same.

○true
○false​

Answers

Answer:

False

Step-by-step explanation:

Proof: Habitat is an animals main living area you could say, enviornment is the areas they could choose otherwise known as nature.

Answer:

false

Step-by-step explanation:

habitat is where an animals stays

environment is where a population of animals stay

habitat- small amount of animals

environment- large amount of animals

explain in words how do you divide a fraction by a whole number

Answers

Answer:

Step-by-step explanation:

whole number over one

flip the whole number under one

multiply that times the fraction

simplify answer if neccesary

ex:

1/2 / 3

1/2  / 3/1

1/2  /  1/3

1/2 x 1/= 1/6

What is the least common denominator of 4 and 10

Answers

Answer:

20

Step-by-step explanation:

HELP almost due in 5

Answers

Answer:

A, D,F are triangle sides

b) Sanjeev draws a triangle with its sides as 6cm, 8cm and 10cm. Is the
triangle drawn by Sanjeev a right angled triangle? Why?​

Answers

Answer:

Step-by-step explanation:

Use Pythagorean's theorem. If the sides satisfies Pythagorean theorem, then, they form a right angled triangle.

The longest side is hypotenuse.

Hypotenuse² = base² + altitude²

10²  = 6² +8²

100 = 36 + 64

100 = 100

So, 6cm, 8cm, 10 cm makes an right angles triangle.

find the image of P (4,-2) under the transformation r y=x

Answers

Answer:

(-2,4)

Step-by-step explanation:

When reflecting a point across y=x, the x-coordinate and y-coordinate switch places.

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