A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 121 kilograms. A
delivery of 6 large boxes and 2 small boxes has a total weight of 136 kilograms. How much does each type of box weigh?
Weight of each large box: [kilogram(s)
Weight of each small box: kilogram(s)
?

Answers

Answer 1

Answer:

136 yhdiby8sruygftdtuggdyubh
Answer 2

Answer:

Weight of each large box: 18.25kg

Weight of each small box: 13.25kg

Step-by-step explanation:

For this question, we have two unknowns, but we can solve them as we are given two equations.

If we use the variables 'L' for Large and 'S' for small, we  an write out the information given to us as equations:

3L + 5S = 121

6L + 2S = 136

Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:

2(3L + 5S) = 2(121)

=> 6L+10S=242

Now that we have one term which is the same, we can subtract one equation from the other:

  6L+ 10S = 242

- (6L + 2S = 136)

------------------------

=>0L + 8S = 106

Now we can solve for S:

8S/8 = 106/8

S = 13.25

And use this value of S to solve for L:

3L + 5(13.25) = 121

3L + 66.25 = 121

3L + 66.25 - 66.25 = 121 - 66.25

3L = 54.75

3L/3 = 54.75/3

L = 18.25

Hope this helped!


Related Questions

What is the image of (-5,-8) after a reflection over the y-axis

Answers

Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/

Answer:

(-5,-8) reflected over the y-axis turns to (-5,8)

What is the quotient? for 692 divided by 16

Answers

Answer:

43.25

Step-by-step explanation:

what is the value of the expression below when b = 8.5?
14b

A. 22.5
B. 112.5
C. 119
D. 119.5​

Answers

The answer is d hope this helps

the monthly cost for 43 min is $17.96 and the monthly cost for 94 min is $24.72 what is the monthly cost for 88 min

Answers

Therefore , the solution to this problem of equation is y = 16.95  cost for 94 minutes.

Explain the equation.

A mathematical equation is a formula that links two statements by indicating their equivalence with the equal sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The relationship between two sentences on either side of a letter is expressed mathematically. There is frequently only one variable, which doubles as the symbol. say that 2x - 4 Equals 2.

Here,

y = mx + b

(50,13.98)(78,17.06)

slope = (17.06 - 13.98) / (78 - 50) = 3.08 / 28 = 0.11

slope(m) = 0.11

use either of ur points...(50,13.98)...x = 50 and y = 13.98

now sub into the formula and find b, the y int

13.98 = 0.11(50) + b

13.98 = 5.5 + b

13.98 - 5.5 = b

8.48 = b

so our equation is : y = 0.11x + 8.48.......for 94 minutes...sub in 77 for x

y = 0.11(94) + 8.48

y = 8.47 + 8.48

y = 16.95 <=== this is the cost for 94 minutes

Therefore , the solution to this problem of equation is y = 16.95  cost for 94 minutes.

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What is the missing length?
Help

Answers

Answer:

5 in. the answer lies in the Pythagorean theorem

Answer:

5

Step-by-step explanation:

using Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

a and b are sides

c is the hypotenuse

in this case we need a side:

[tex]a^2+12^2=13^2\\a^2 + 144 = 169\\[/tex]

subtract 144 from 169

[tex]a^2=25\\\sqrt{a} ^{2} = \sqrt{25}[/tex]

so a = 5

THE ANSWER IS 5 :)

please help, please, i really need help...

What type of counting problem is this?
How many different sequences of 3 playing cards (from a single 52-card deck) exist?
a. Permutation without repetition
b. combination with repetition
c. Combination without repetition
d. Permutation with repetition

Answers

Answer:

combination with repetition

Step-by-step explanation:


Help please I need help !!!

Answers

Answer:

with what nothing here to help you with. so is there an actual question you need help with?

11. A. Four times a breadth of the room is equal to 3 times the length. If the breadth had been
1 meter more and the length 1 meter less the room would have been a square. Find the
dimension of room. ​

Answers

The length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4

Let's call the original breadth of the rectangle "b" and the original length of the rectangle "l". From the information given, we know that:

4b = 3l

We also know that when the breadth is increased by 1m and the length is reduced by 1m, the rectangle becomes a square. Therefore, the new breadth and new length are equal. Let's call the new breadth and length "s".

s = b + 1 = l - 1

We can substitute the first equation into the second equation to get:

s = b + 1 = (3l/4) - 1

Now we can solve for s:

s = b + 1m = (3l/4) - 1m

s = (3l/4) - 1m + 1m = (3l/4) = l - 1m

Now we can substitute this back into the first equation:

4b = 3(l - 1m)

We can now solve for b:

4b = 3l - 3m

b = (3l/4) - (3m/4)

Therefore, the original breadth of the rectangle was (3l/4) - (3m/4) and the original length was 3l/4.

We can find the value of length and breadth by substituting the value of s in the first equation

4s = 3l

s = 3l/4

So, the length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4

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The sum of the interiors angle of any polygon is 360°

Answers

Answer:

It depends on the # of sides

3 sides = 180 degrees

4 sides = 360 degrees

5 sides = 540 degrees

6 sides = 720 degrees

7 sides = 900 degrees

8 sides = 1080 degrees

9 sides = 1260 degrees

10 sides = 1440 degrees

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

16/63

Step-by-step explanation:

How do the angles and sides of the outline correspond to the angles and sides of the original triangle?

Answers

The Angles and sides of the outline correspond to the angles and sides of the original triangle is done as below.

What are corresponding sides and angles?

Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes.

Given:

For Corresponding Angle

The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same colour.

Form Corresponding Side

If two triangles are similar and have sides A, B, C and a, b, c, respectively, then the pair of corresponding sides are proportional,

i.e., A : a = B : b = C : c.

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Solve the system of equations.
−5x+8y=0
-7x-8y=-96

Answers

Answer:

-5x+8y-7x-8y=-96

-12x =-96

X= 8

if X=8,

(-5×8)+8y=0

8y=40

y=5

x=8

y=5

[tex] \huge{ \mathrm{ \underline{Answer :}}}[/tex]

The given equations are : -

−5x + 8y = 0 - [1]

-7x - 8y = -96 -[2]

Add the equations :

[tex]\mathrm{- 5x + 8y + (- 7x - 8y) = 0 + (- 96)}[/tex]

[tex]\mathrm{- 5x + 8y - 7x - 8y = - 96}[/tex]

[tex] - 12x = - 96[/tex]

[tex]x = 8[/tex]

_____________________________

plugging value of x in [1] :

[tex] - 5x + 8y = 0[/tex]

[tex]( - 5 \times 8) + 8y = 0[/tex]

[tex] - 40 + 8y = 0[/tex]

[tex]8y = 40[/tex]

[tex]y = 5[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Autumn is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Number of years
1
2
3
Car 1 (value in dollars)
38,000
32,000
26,000
Car 2 (value in dollars)
38,000
32,300
27,455

Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)

Part C: Autumn wants to purchase a car that would have the greatest value in 6 years. Will there be any significant difference in the value of either car after 6 years? Explain your answer, and show the value of each car after 6 years. (4 points)

(10 points) ALGEBRA 1 only

Answers

Part A

Car 1

26000 - 32000 = 32000 - 38000 = -6000Since the difference is common this is a linear function

Car 2

32300/38000 = 27465/32300 = 0.85Since the ratio is common this is an exponential functionPart B

Car 1

V(x) = 38000 - 6000x

Car 2

V(x) = 38000*0.85ˣPart C

Find V(6) for both cars and compare

Car 1

V(6) = 38000 - 6*6000 = 2000

Car 2

V(6) = 38000*0.85⁶ = 14331.68

As we see the difference is significant and car 2 has much greater value

rectangular prism: length 16 feet, width 12 feet, height 42 feet

Answers

What does “your mom” mean

Law of Sine.
Find the measure of the indicated angle. Need help please.
I need explanation too- thank you!
NO LINKS...I WILL REPORT YOU

Answers

Answer:

Bc=20

Step-by-step explanation:

Sin61=BC/AC=BC/23

BC=23sin61=20

willl mark you brainlieestttt

Answers

Answer:

C

Step-by-step explanation:

Answer:

- 7√10

Step-by-step explanation:

Step 1 : Take √10 common

2√10 - 5√10 - 4√10

= √10 ( 2 - 5 - 4 )

Step 2 : Subtract the numbers separately.

2 - 5 - 4

= 2 - 9

= - 7

Step 3 : Multiply √10 and - 7

√10 * - 7 = - 7√10

Which of the following are irrational numbers?
Choose two correct answers.
3.05
√17
√27
√81

Answers

Answer:√17

              √81

                √27

This 3 numbers are irrational number

Answer:

17 and 27 are irrational

Step-by-step explanation:

Please help me, find the area to figure around to the nearest hundredth necessary.

Answers

The answer would be 1400 because 56 x 50= 2800 and you divide that answer by two to get you the new answer of 1,400

Find value of c


[tex]48c+ 6 = 408 \div 4[/tex]

Answers

Answer:

2

Step-by-step explanation:

408 / 4 = 102

48c + 6 = 102

48c = 102 - 6

48c = 96

c = 96/48

c = 2

Hence, the value of c is 2.

Answer:

[tex] \sf \: c = 2[/tex]

Step-by-step explanation:

Given equation,

→ 48c + 6 = 408 ÷ 4

Now the value of c will be,

→ 48c + 6 = 408 ÷ 4

→ 48c + 6 = 102

→ 48c = 102 - 6

→ c = 96 ÷ 48

→ [ c = 2 ]

Hence, the value of c is 2.

pleaase someone help me !


How much would you have to repay on a credit card debt of 3500$ after 2-years if the interest rate is 19.5% compounded half-yearly .​

Answers

Answer:

$ 4,865

Step-by-step explanation:

First find the simple intere

Answer:

P = A (1 + i)^n      where P is the payment, A the original amount and i the  interest rate for the payment period.

Assuming .195 is the annual interest rate then

i = .195 / 2 = .0975  the rate that will be compounded every 6 mos.

P = 3500 * (1 + .0975)^4 = $5078

A car dealer offers 5%
off the invoice price of
a new car. A customer
buys a car with an in-
voice price of $24,500.
How many dollars does
the customer save?
Helppp

Answers

Answer:

$1225

Step-by-step explanation:

You have to multiple 24,500 by .05

Answer:

The customer saves $1,225.

Step-by-step explanation:

Find 5% of $24,500.  This is done by writing the decimal fraction 0.05 and multiplying $24,500:  

0.05($24,500) = $1,225

The customer saves $1,225.

Finding zeros of this equation

Answers

Answer:

01?

Step-by-step explanation:

I didn't see a picture so maybe just one

The cost price of an article is Rs
4500, find its selling price with
20% profit*​

Answers

with the formula,

PROFIT=SP-CP/CP×100

the answer is

Rs 5400

therefore, Rs.5400 is the selling price.

the distance between two towns is 120 km there are approximately 8 km in five miles which measurement is closest to the number of miles between these two towns​

Answers

Answer:

about 75

Step-by-step explanation:

Refer to the graph What conclusion can you make about the relationship between the number of items sold i and the
amount of profit earned p?

A. There is no relationship between the number of items sold and the amount of profit earned
B. There is a nonproportional relationship between the number of items sold and the amount of profit earned.
C. There is a linear relationship between the number of terns sold and the amount of profit earned
D. The number of items sold is equal to the amount of profit

Answers

Answer:

Should be C

Hope it helps :)

2x + 4y = -16
solve for y

Answers

Answer: y = -1/2x -4

Step-by-step explanation:

To solve for y, subtract 2x on both sides

2x-2x + 4y = -16 - 2x

Simplify

4y = -16 - 2x

Divide by 4 on both sides to get y by itself

4y/4 = -16 - 2x/4

Simplify

y = -4 - 1/2x

Switch the right-side terms to write them in slope-intercept form

y = -1/2x -4

Division of mixed numberrss

Answers

Answer:

1. 99/104

2. 4/3

3. 6/5

4. 52/25

5. 57/58

6. 33/100

7. 1/2

8. 8/5

9. 4

10. 4/3

hope this helps any

What is the area of the composite figure below?

Answers

Answer:

33 sq cm.

Step-by-step explanation:

Let's calculate each shape serperately,

--------

For the square, the area is 25 since

5 × 5 = 25

-------

For the rectangle, the area is 8:

4 × 2 = 8

-----

Add these together to get 33 sq cm

Have a good day :)

Write each expression with a single exponent:

Answers

Answer:

a. 10^12

b. 10^5

c. 10^17

d. 10^6

e. 10^17

f. 10^18

Step-by-step explanation:

just add the exponents together and keep the base

Answer for a: 10^12

Answer for b: 10^5

Answer for c: 10 ^17

Answer for d: 10^6

Answer for e: 10^17

Answer for f: 10^18

How do you read FG stats?

Answers

Field goal stats include number of made/attempted, percentage made, average points scored per made, total points scored/attempted, and possibly rebounds, assists, turnovers.

FG (field goal) stats are a way of measuring an individual or team's performance in the sport of basketball. Generally, the stats will include the number of field goals made, the number of field goals attempted, the percentage of field goals made, the average number of points scored per field goal made, the total number of points scored, and the total number of points attempted. This data can be used to compare different players or teams, or to track a player or team's performance over time. Depending on the context, other stats such as rebounds, assists, and turnovers may also be included. This data can help coaches, scouts, and analysts make decisions and evaluate performance. Ultimately, it is important to use field goal stats in combination with other data and context to create an accurate picture of a player or team's performance.

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