A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer 1

Answer:Number of small boxes shipped = 8

Number of large boxes shipped = 13

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of small boxes and let y be the number of large boxes

According to the first statement, a total of 21 boxes were shipped

Equation 1 will be:

x+y=21

According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70

Equation 2 will be:

25x+70y=1110

Use the substitution method for solving the equation

Putting the value of x in equation 2  

25(21-y) +70y =1110

525-25y+70y = 1110

45y = 585

Y=13

Putting the value of y in equation 1  

x+13 = 21

X = 8

Number of small boxes shipped = 8

Number of large boxes shipped = 13


Related Questions

given m || n, calculate the value of x

Answers

Answer:   x = 41

Step-by-step explanation:

4x - 68 = 2x + 14         [since alternate interior angles are equal]

4x - 2x = 14 + 68

       2x = 82

         x = 41

Answer:

x=41

Step-by-step explanation:

this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.

4x-68=2x+14

2x-68=14 <- subtract 2x from both sides

2x=82 <- add 68 to both sides

x=41 <- divide both sides by 2

check:

4(41)-68=96

2(41)+14=96

Own made 60% of the shots he attempted during his hockey practice he made 18 shots . How many shots did owen attempt during his hockey practice

Answers

Answer:

come on the answer is 30 lol.

Step-by-step explanation:

Write the equation of the line that passes through the given point and its parrallel to the given line

(2, 7); 3x - y = 5

if you know how to do this could you explain? its okay if you dont want to though ​

Answers

Answer:

PLEASE MARK BRAINLIEST

Step-by-step explanation:

y= mx + c

-y = 5- 3x

y= 3x - 5; m =3

since it is parallel

m1=m2

y- y1= m(x -x1)

y -7 =3(x -2)

y- 7=3x - 6

y= 3x +1

solve the inequality. -11x - 9 < 24​

Answers

Answer:

x>-3

Step-by-step explanation:

-11x-9<24

     +9  +9

-11x<33

/11 /11

-x<3

x>-3

lets check

-11(-2)-9<24

22-9<24

13<24

correct :D

Answer:

x  >  − 3 OR (-3,∞)

Step-by-step explanation:

Help I’ll mark as brainliest pls!!

Answers

Answer: y = 2 (x+4)

Tim = alice + 4

Bob = tim x 2

Alice = x

y = 2 (x+4)

Bob (y), Alice (x), tim (x+4)

PLEASE ANSWER FAST
Type the correct answer in the box. Use numerals instead of words.
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is

Answers

Answer:

y-intercept is -18

Step-by-step explanation:

The total y=mx+b equation is y=4x-18, you can check in a calculator. I checked on a graphing calculator, and solved it via graphing on a piece of paper.

A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is -18.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation,

y = mx + b.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 4 (given)

So, the equation of the line is,

y - y₁ = m(x - x₁)    equation 1

And here

x₁ = 3 and y₁ = -6.

Substituting the values to the equation 1,

y - (-6) = 4 (x - 3)  

y+6 = 4x -12

y = 4x -18.

Comparing with the slope-intercept form,

we get y-intercept b = -18

Therefore, the equation is y = 4x -18 and y -intercept of the equation is -18

To learn more about the slope;

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Express the following in simplest a + bi form.
root 9+ root -36
A. -9i
B. 3-6i
C. 3+6i
D. 9i

ANSWER C

Answers

Answer:

there is no real solution

Step-by-step explanation:

There is no number that, when squared, produces a negative value. A negative multiplied by a negative gives a positive, and a positive times a positive gives a positive. You can however have a ± symbol to indicate that the root of 36 could be either positive or negative

What is 49.5x divided by 88

Answers

Answer:

0.5625

Step-by-step explanation:

Answer:
0.5625x

Isn’t really much of a step by step, in your calculator just put in the numbers divided by eachother then add the “x”.

it took jose two-thrids of an hour to complete his math homework on monday,three- fourths of an hour on tuewsday , and two- fifths of an hour on wednesday. how many hours did it take jose to complete his homework altogether

Answers

It took Jose an hour and 49 minutes to complete his homework! (109 minutes)

On Monday, Jose took 2/3 of an hour to complete his math homework. We know that is hour is 60 minutes. Divide 60 by 3 (the denominator) and you get 20. Multiply 20 x 2 (numerator) and you get 40 minutes! 2/3 of an hour is 40 minutes.

On Tuesday, Jose took 3/4 of an hour to complete his homework. Divide 60 by 4 (denominator), and you get 15! Multiply 15 x 3 (numerator) and you get 45. 3/4 of an hour is 45 minutes.

On Wednesday, Jose took 2/5 of an hour to complete his homework. Divide 60 by 5 (denominator), and you get 12. Multiply 12 x 2 (numerator) and you get 24! 2/5 of an hour is 24 minutes.

Finally, you add the three sums of minutes from each day. 40 + 45 + 24 = 109.

Subtract 60 from 109 (109 - 60) and you get a remainder of 49 minutes. This means that it took Jose and hour and 49 minutes to finish his homework.

Hope this helps :)

A whale can swim at a speed of 500 m/min. How far does it swim in 1 hour?

Answers

Answer:

30000 metres or 30 kilometers (km)

hope this helps

Answer:

30,000 m or 30 km

Step-by-step explanation:

please give me brainliest

The owner of an organic food store would like to analyze the sales data to determine if the business is growing, declining or remaining flat. The owner has the following data: Sales Revenue Last Year = $350,000 // Sales Revenue Current Year = $402,000. What is the sales growth? Question 3 options: 10% 17% 13% 15%

Answers

The percentage sales growth recorded by the food store is 15%

Given the Parameters :

Last year revenue = $350,000

Current year revenue = $402,000

The growth sales can be obtained using the relation :

Change in revenue / Last year revenue) × 100%

Change in revenue = Current year - Last year

Change in revenue = $402,200 - $350,000 = $52,200

Hence, percentage sales growth :

(52,200 / 350,000) × 100% = 14.914 %

Therefore, the percentage sales growth is 15%.

Learn more :https://brainly.com/question/13218948

Answer: 15%

Step-by-step explanation:

what is 4/15 divided by 10/13

Answers

Answer:

26/76 or 0.346 is the answer

Answer:

26/75 or 0.346

Step-by-step explanation:

4/15 * 13/10

2/15 * 13/5

26/75

Someone plz help me :(

Answers

Answer:

b

Step-by-step explanation:

i think it is b good luck

Answer:

The answer is D

Step-by-step explanation:

Hope it helps. Pls mark brainliest if it does

Chloe works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 10% of her total sales for the week. How much would Chloe make in a week in which she made $975 in sales? How much would Chloe make in a week if she made xx dollars in sales?

Answers

Answer:

See Below

Step-by-step explanation:

Making $250/week in salary and 10% of the $975 in sales.

First find what 10% of $975 equals.  The decimal equivalent of 10% is 0.10

So multiply the decimal and total sales.

0.10 x 975 = 97.5

Her weekly salary plus the commission would be:

$250 + $97.50 = 347.50

If you don't know her sales for the week, you can use X to represent the sales.  The equation would be:

0.10x   +   250  =  y       where y is her total pay.

The height, h, in feet of a ball above the ground is given by h= -16t^2+64t+80, where t is the time in seconds. How long does it take the ball to hit the ground?

A) 3 seconds
B) 4 seconds
C) 5 seconds
D) 6 seconds

Answers

Answer:

It is 5 seconds     option C

Step-by-step explanation:

When the ball would hit the ground, h would reduce 0.

We can equate the R.H.S to 0.

∴ 0= -16t²+64t+80

0 = t² - 4t - 5              (dividing both sides by -16)

0 = t²+t - 5t -5  (by splitting the middle term)

0 = t ( t+1) -5 (t+1)

0= (t-5) * (t + 1)

when t-5=0   ;   when t+1=0

t =5           ;          t= -1                    time cannot be -ve

∴ t= 5 seconds

Hope this helps you.

Answer:

C)  5 seconds

Step-by-step explanation:

Given equation:

[tex]h=-16t^2+64t+80[/tex]

where:

h = height of a ball above the ground (in feet).t = time (in seconds).

The ball hits the ground when the height is zero.  

Therefore, substitute h = 0 into the given equation and solve for t.

[tex]\begin{aligned}\implies -16t^2+64t+80 & = 0\\-16(t^2-4t-5) & = 0\\t^2-4t-5 & = 0\\t^2-5t+t-5&=0\\t(t-5)+1(t-5)&=0\\(t+1)(t-5)&=0\\\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies t+1=0 \implies t=-1[/tex]

[tex]\implies t-5=0 \implies t=5[/tex]

As time cannot be negative, t = 5 only.  

Therefore, it takes 5 seconds for the ball to hit the ground.

5 divided by 29.95 show work please ​

Answers

Answer:

5.99

Step-by-step explanation:

Do the division by doing:

0 5. 9 9 0

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

5  |    2  9. 9 5 0

− 0        

 2 9      

− 2 5      

   4 9    

 − 4 5    

     4 5  

   − 4 5

       0 0

     −   0

         0

20.35 - 08.57 - 09.99 ​

Answers

Your answer will be 1.49

Answer: 1 .79

Step-by-step explanation:

Rewrite the following mixed number as a decimal.
17 37/50

Answers

The answer is 35.34 step-by-step with detailed explanation how to convert 35 17/50 as a decimal number. note that 35 17/50 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

35 = whole number
17 = numerator
50 = denominator

In order to convert mixed number 35 17/50 to decimal form Convert the proper fraction to decimal: Divide the numerator by the denominator
17 ÷ 50 = 0.34
Add this decimal number to the whole number of the mixed fraction
35 + 0.34 = 35.34
The mixed number 35 17/50 converted to decimal number is therefore:
35.34
17 37/50=17+(37÷50) therefore your answer would be 17.74

(cos2x-1). sin 3x = 0

Answers

please give Brainly points!!

Please help quick! Find the length of the third side. If necessary, write in simplest radical form.

Answers

4^2 + 7^2 = 65
Sqrt(65) is in simplest radical form

The answer is sqrt(65)

th answer is srqt(65) srqt)65)

what is 1.5 as a ratio​

Answers

Answer:  3/2

Step-by-step explanation:

Today only, a desk is being sold at a 33% discount. The sale price is $603.
What was the price yesterday?

Answers

The original price of the desk before discount was $900.

What is discount?

A discount is the reduction in the marked price of items, discounts are generally given to customers to attract them towards some items or on sale.

Given that a desk is at sell today, the shop is offering 33% discount on it, which will give a selling price of $603.

We need to find the desk's yesterday price,

So, let the yesterday price be x,

Therefore,

100 - 33 = 67

Therefore,

67% of x = 603

x = 603 × 100 / 67

x = 900

Hence the original price of the desk before discount was $900.

Learn more about discount click;

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what area of a rectangular cloth is (x²+7xy +12y²)m². Find the length and the width of the rectangular cloth

please help me
[tex]( {x}^{2} + 7xy + 12 {y}^{2} ) {m}^{2} [/tex]

Answers

Use pemdas it would stay the same because there is no number to go in for x y or m

Write the expression for each sentence below. Will give brainlist


1. the sum of 6 and t = 6+ t

2. the product of s and 12


3. the difference of 6 from 10


4. the quotient of 6 divided by t


5. 17 less than 20


6. increase s by 2s


7. decrease 10 by r


8. add 7 times x and 4 times s


9. the quotient of 17 minus 12 and 2


10. the product of 2 and x less 10


11. the product of 7 and 2 divided by 2

12. decrease the product of 8 and 6 by a number

Answers

Answer:

1.6t

2.12s

3.4

4.6

5.yes

6.2ss

7.10

8.x×x×x×x×x×x×x=×7

s×s×s×s=×4

9.-7

10.no

11.7

12.8×6=48

Write an equation in​ the slope-intercept form of the line.

Answers

Answer: Y= 1/-2x + 2

which type of agency is responsible for maintaining public lands held in trust

Answers

I think it’s sorry if I’m wrong

Answer:

resource management agency

Step-by-step explanation:

An arts academy requires there to be 5 teachers for every 115 students and 3 tutors for every . How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 77 students ​?

Answers

Answer:

1.23

2. Question incomplete

3. Needs Question 2 to Answer

Step-by-step explanation:

1. 115÷5=23

Cómo se resuelve paso a paso?

2x+3=18

Answers

=>2x+3=18

=>2x=18-3

=>2x=15

=>x=15/2

p(-2)=-3+4x please help​

Answers

Answer:

first off, this may be completely wrong, but I did try my best. You need to clarify what this is for so I went with the easiest route, solving for variables.

P=0

X= - 3/4

Step-by-step explanation:

P(-2)=-3+4x

Solving for X

-2P=-3+4x

-2(0)=-3+4x

-3=4x

- 3/4=X

Solving For P

P(-2)=3+4(- 3/4)

P(-2)3-3

P=0

15 x 15 x 15 x 15 = 15E The raised letter E stands for an exponent

Answers

Answer:

15e4

Step-by-step explanation:

I can not raise the exponent but there is 4, 15 being multiplied together and all you do is add how many of the same numbers are being multiplied together.

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