A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms. A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?

Answers

Answer 1

Answer:

Each large box weighs 15.25 kg, and each small box weighs 6.25kg

Step-by-step explanation:

Let's define the variables:

A = weight of a large box.

B = weight of a small box.

We know that:

"A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms."

We can write this as:

5*A + 3*B = 95 kg

We also know that:

"A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms."

2*A + 6*B = 68kg

Then we have the system of equations:

5*A + 3*B = 95 kg

2*A + 6*B = 68kg

To solve this, the first step is to isolate one of the variables in one of the equations.

I will isolate the variable A in the second equation:

A = 68kg/2 - 6*B/2 = 34kg - 3*B

A = 34kg - 3*B

Now we can replace this in the first equation:

5*( 34kg - 3*B) + 3*B = 95 kg

170kg - 15*B + 3*B = 95 kg

170kg - 12*B = 95 kg

170kg - 95kg = 12*B

75kg = 12*B

75kg/12 = B = 6.25kg.

Now we can replace this on the equation A = 34kg - 3*B to find the value of A.

A = 34kg -3*6.25kg = 15.25kg


Related Questions

A forest covers 31,000 acres. A survey finds that 0.2 ​% of the forest is​ old-growth trees. How many acres of​ old-growth trees are​ there?

Answers

Answer:

There are 62 acres of old growth trees

Step-by-step explanation:

You would need to find 0.2% of 31,000

Lets say 0.2% of 31,000 is Y

Y = 0.2/100

Y = 0.2 ÷ 100 x 31,000

Y= 62

help this is a hard question...

Answers

I would be E and C
(If you want me to explain I can)

Hope this helps

Have a great day/night
C and E are the correct answers

36 jelly donuts is 200 percent of how
many jelly donuts?

Answers

Answer:

18

Step-by-step explanation:

Equation

2x=36

Solve

x=18

Answer:

720 jelly donuts

hope it helps pls mark brainliest

Please help me and I'll give you a Brainly star

Answers

Answer:

Step-by-step explanation:

The answer is (C)

<AEB is congruent to <BEC

Which rule explains why these triangles are similar?

SSS
SAS
AA
none of the above; the triangles cannot be proven similar
Submit


Answers

the correct answer would be Side Angle Side

Answer:

The correct answer is:

AA

EGH

~△

EFD

Step-by-step explanation:

I got it incorrect the first time. the person above or below me is wrong.

Is this graph and example of a sin or cos graph?

Answers

this is a sin graph im pretty sure

Answer:

Sine

I think

Step-by-step explanation:

The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

A 30 -foot ladder is leaning against a building. The base of the ladder is 18 feet from the side of the building. How high does the ladder reach along the side of the building?

Answers

Answer:  24 feet

========================================================

Explanation:

Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.

Let a = x, b = 18, c = 30.

Apply the Pythagorean theorem to solve for x

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 900-324

x^2 = 576

x = sqrt(576)

x = 24

The top of the ladder reaches 24 feet high.

Help please
Rotation
Translation
Reflection

Answers

Reflection I think it’s a mirror image
I think it’s reflection good luck!

aight anybody help me man lol

Answers

Answer:

10 4/6 -> 10 2/3

Step-by-step explanation:

simpliest form is the second option :)

A television cost $950, how much is a 7% tax?​

Answers

Answer:

950x7%=66.5

950+66.5=1016.5 with tax

not sure but here you go

Answer:

is 66.5

?/950= 7/100 7x950=6650 6650 división by 100=66.5

Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8

Answers

Solution :

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

This is a valid probability distribution.

In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.

Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.

Valid probability models add up to 1

The probability is a valid probability model

The probability model is given as:

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

To determine if the model is a valid probability model, or not

We make use of:

[tex]\mathbf{\sum P(x) = 1}[/tex]

So, we have:

[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]

Add the probabilities

[tex]\mathbf{ 1= 1}[/tex]

The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]

Hence, the probability is a valid probability model

Read more about probability models at:

https://brainly.com/question/9965602

25.7,24.1,---------,20.9,19.3

Answers

Answer:

You just have to subtract 1.6 so the missing number is 22.5

Step-by-step explanation:

25.7 ,24.1, 22.5 , 20.9 , 19.3 , 17.7 , 16.1

Does anyone know which one is the right answer

Answers

Answer:

Number 2 is incorrect

Step-by-step explanation:

The correct answer would be line CA is congruent to line ZX

Please help!!! Will give brainliest!!!

Answers

Answer:d

Step-by-step explanation:

Both aren’t related But they do have some impact on eachother

Find the 8th term in the following sequence.
32, 16, 8, 4, ..

02
O 114
O 1/2
O 1

Answers

Answer is 1/4
Option ‘B’

3 cousins are named Jasmine and Kyra and Louisa.

Jasmine is 3 years younger than twice Kyra's age.
Louisa is 1 year older than a third of Jasmine's age.
Louisa is 4 years old.

How old is Jasmine?

How old is Kyra?

How did you solve this mystery?

Answers

Jasmine is 12 and kyra is 30

List the angles from least to greatest! URGENT
(BETTER IMAGE)

Answers

Answer: Y<W<Z? Im not exactly sure but it looks right to me. Correct me if im wrong though.

Step-by-step explanation:

Answer:

W<Y<Z

Step-by-step explanation:

the side WZ is longer than side ZY, so the angle W is smaller.

Kim’s bedroom is 13 feet long by 11 feet wide what is the area of her bedroom

Answers

Answer:

143

Step-by-step explanation:

multiply the 2 together

plz brainliest!

The area of her bedroom is 143 square feet.

What is area of rectangle?

The area of rectangle is product of its length to its width.

i.e., Area of rectangle= length x width

Given:

length = 13 feet

width = 11 feet

so, Area of rectangle = length x width

                                   = 13 x 11

                                   = 143 square feet.

Hence, the area of her bedroom is 143 square feet.

Learn more about area of rectangle here:

https://brainly.com/question/20693059

#SPJ2

draw a model of 100oz of soda divided equally among 12 students. How many oz will each person have?

Answers

That's how many ounces of water you should drink per day. For instance, a person who is 200 pounds, should drink 100 oz. of water per day to be adequately hydrated. (That's 12.5 glasses of water!)

A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at

Answers

Answer:

THE swords men and archer men will take over

Step-by-step explanation:

The train will arrive at 11:45

A single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local cafe. Jane goes to the local cafe to have breakfast. Their fruit platter has 210 calories and the french toast is 350 calories. A glass of orange juice is 40 calories and milk is 102 calories. The hashbrowns and eggs are twice the calories of the fruit platter. If Jane has half a blueberry muffin with a whole fruit platter and a third of a glass of milk for breakfast, how many calories did she consume during breakfast?

Answers

Answer:

364 calories

Step-by-step explanation:

1/2 of 240=120 calories

fruit platter =210 calories

1/3 of 102=34

120+210+34=364 calories

The amount of calories she consumes during breakfast is 364 calories.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local cafe. Jane goes to the local cafe to have breakfast. Their fruit platter has 210 calories and the french toast is 350 calories. A glass of orange juice is 40 calories and milk is 102 calories.

The total amount of calories consumed in breakfast will be:-

1/2 of 240=120 calories

fruit platter =210 calories

1/3 of 102=34

Total calories = 120+210+34=364 calories

Therefore, the amount of calories she consumes during breakfast is 364 calories.

To know more about an expression follow

https://brainly.com/question/17220365

#SPJ2

SOMEONE PLS HELP
the multiplicative inverse of 1/5 and (2x-1/5)

Answers

Answer:

You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.

Step-by-step explanation:

Answer:

inverse 1/5 = (1/5)^-1

=1/(1/5)¹ = 1/(1/5) = 1(5/1) = 5/1 = 5

inverse 2x-1/5 = (2x-1/5)^-1

=1/(2x-1/5)¹ =1/(2x-1/5)

=1/(10x/5 - 1/5) = 1/(10x-1 / 5)

=1(5 / 10x-1) = 5 / 10x-1

BRAINLIEST
PLEASE LEAVE A SMALL EXPLANATION AND ILL MARK BRAINLIEST :)

Answers

The Answer Would Be C :)

2(3−8y)= i need help someone

Answers

Answer:

6-16y

Step-by-step explanation:

Distribute

2*3

2*-8y

6-16y

Answer:

this is the answer 2 • (3 - 8y)

Step-by-step explanation:

chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105​

Answers

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

To know more about rate

https://brainly.com/question/119866

#SPJ2

Rounded to three decimal places, what is the value of r for this data set?

Variable x 8 15 3 7 2 14
Variable y 15 21 6 12 3 20

Choices:
A. 0.950
B. 0.938
C. 0.880
D. 0.981

Answers

I think the answer is B not sure though

need help asap please

Answers

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.

I am joyous to assist you at any time.

The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common

Answers

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

These names account for 9.6% of all U.S. residents.

This means that [tex]p = 0.096[/tex]

8 authors in total.

This means that [tex]n = 8[/tex]

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

another math problem.(after hr finished breakfist, Mr.Edwards left for work at fifteen minutes after seven What time is this?) btw use P.M. or A.M.

Answers

Answer:

7:15 AM

Step-by-step explanation:

Answer:

It's 7.15 A.M.

Step-by-step explanation:

You mentioned breakfast and people do go to work in the morning so it is A.M.

Hope this helps you

PLS RATE AS BRAINLIEST ANSWER

( -4, 3 ) ; m = 2 Write the equation of the line in point-slope form that passes through the given point with the given slope

Answers

ExplanationPoint-Slope Form

[tex] \large \boxed {y - y_1 = m(x - x_1)}[/tex]

Substitute the coordinate point value in the equation

[tex]y_1 = 3 \\ x_1 = - 4 \\ m = 2[/tex]

[tex]y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)[/tex]

Answer

[tex] \large \boxed {y - 3 = 2(x + 4)}[/tex]

Other Questions
Lizette read the first 120 pages of a book with a total of 600 pages. What percent of the book has she read? What did Frederick Douglass and gwendolyn brooks have in common? please help me im very confused Emily buys 14 balloons. 3 are red, 4 are white, and the rest are blue. What is the ratio of blue balloons to the total number of balloons? Group of answer choices The container that holds the water for the football team is 1/4 full. After pouring in 10 gallons of water, it is 2/3 full. How many gallons can the container hold? A deuterium nucleus contains which of the following?O One protonO One electron and one neutronOne proton and one electronO One proton and one neutron Which textual detail from The Yellow Wallpaper is most clearly connected to Charlotte Perkins Gilmans critique of the rest cure?A)Dear John! He loves me very dearly, and hates to have me sick.B)This wallpaper has a kind of sub-pattern in a different shade, a particularly irritating one, for you can only see it in certain lights, and not clearly then.C)I always fancy I see people walking in these numerous paths and arbors, but John has cautioned me not to give way to fancy in the least.D)Personally, I believe that congenial work, with excitement and change, would do me good.E)John thought it might do me good to see a little company, so we just had mother and Nellie and the children down for a week. What is one MAIN difference between the Executive Office of the President and the executive departments? A. The EOP functions as a huge line agency, while the executive departments do not. B. The executive departments function as separate staff agencies, but the EOP does not. C. The EOP exists to support the President, while the executive departments do not. D. The executive departments exist to support the President, while the EOP does not. To control population growth,___ instituted a one-child policy in 1980. Evaluate a^7 - 4b for a =3 and b= -1 Simplify this expression.6x + 3 4x + 2y + 7 What is the solution to the system of equations shown? y=2x+2y=4x-2 She............ write a letter.2 pointsdon'tdoesn'tdidn't BRAINLIEST! URGENT! Please help of you can, please provide an explanation aswell, Thank you. At a school the number of boy to girls is 11:9 there are 124 more boys than girls work out the total number of students at the school words:etymology:: _____insects:entomologyhumans:anthropologylife:biologyliterature:history a clock loses 20 seconds every hour, how many seconds will it lose in one day? 50 points!!!!Which of the following are true of enzymes?Choose all that are correct Specific enzymes can only facilitate one or two reactions. Enzymes are not changed by facilitating a reaction. Enzymes lower the activation energy of a reaction.Each specific enzyme can facilitate many different reactions.Enzymes are specialized proteins.Enzymes raise the activation energy of a reaction. In three to five sentences explain your opinion of how celebrity endorsements, like Jordan and Kanye, affected the popularity of sneakers and enormous rise in shoe sales. so confused.. I've watched many videos on this and its left me super confused im not even sure if those videos were right please help I dont understand.