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

Divide. Round to the nearest tenth
9.23 divided by .48

Answers

Answer:

19.229166666666666666

A triangles angles have a ratio of 294 what are all three angles

Answers

Answer:

24:108:40       in this order

Step-by-step explanation:

2+9+4=15

180÷15=12

2•12=24

9•12=108

4•12=48

Find the area of the kite

A) 660 mm2
B) 744.5 mm2
C) 630 mm2
D) 106 mm2
F) 1260 mm2

Answers

Answer:

C) 630 mm²

Step-by-step explanation:

area of kite = pq

2

= 28x45

2

= 630 mm²

-3(5n-8)=-8(n-3)

Please Hurry

Answers

Answer:

[tex] - 3(5n - 8) = - 8(n - 3)[/tex]

[tex] - 15n + 24 = -8 n + 24[/tex]

[tex] - 15n + 8n = 24 - 24[/tex]

[tex] - 7n = 0[/tex]

[tex]n = \frac{0}{ - 7} [/tex]

[tex]n = 0[/tex]

find the slope of the line

Answers

The slope is -1/2 so answer b.

3/4+5/6 divided by 2/3 in simplest form show work, please!
Thanks!

Answers

Answer:

2 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 [tex]\frac{3}{8}[/tex]

Hope this helps :)

3(6d + 1) = ?
How do I see what the d = to multiply it 3x6d but it doesn’t shows what the d= does the d = 1 since it’s only 1 d? Or how do I simplify this

Answers

Answer:

18d+3

Step-by-step explanation:

start with 3(6d+1)

separate the problem into 3(6d)+3(1)

simplify to get your answer:

18d+3

Answer:

18d + 3

Step-by-step explanation:

3 ( 6d + 1 )

= ( 3 x 6d ) + ( 3 x 1 )

= 18d + 3

PLZZ HELP WILL GIVE BRAINLIEST TO THE ONE THATS FIRST AND HAS THE CORRECT ANSWER

Answers

Answer:

The answer is A, 17/30.

Step-by-step explanation:

1/10+1/3= 13/30

(1) - 13/30 = 17/30.

- If you think that my answer was helpful, give me the brainliest answer!

vx-w=2
rearrange it and make x the subject

Answers

Answer:

[tex]vx - w = 2 \\ vx = 2 + w \\ x = \frac{2 + w}{v} [/tex]

Determine the value of x in the figure​

Answers

180-140=40 (complementary angle)
2z=40
Z=40/2
Z=20
Solution:The sum of all the angles which stand on a straight line is 180°.Therefore, 2z + 140° = 180°or, 2z = 180° - 140°or, 2z = 40°or, z = 40° ÷ 2or, z = 20°Answer:

z = 20°

Hope it helps! Please do comment if you have any query.

Thank you

Find an equation of the line that satisfies the given conditions.
x-intercept: 8; y-intercept: 6

Answers

Answer:

3x+4y-24=0.

Step-by-step explanation:

if the common form of the required equation is

[tex]\frac{x}{a} +\frac{y}{b} =1, \ where \ a;b \ are \ x-intercept;y-intercept,[/tex]

then the required equation is:

[tex]\frac{x}{8} +\frac{y}{6} =1[/tex]

or 3x+4y-24=0.

Can a quadrilateral have no obtuse angles? Explain.

Answers

A ǫʀɪʟʀʟ ʜ 4 ʙs ɴɢʟs

A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is

A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360

A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360∘

A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360∘360∘. Common quadrilaterals include parallelograms, rectangles, squares, kites, and trapezoids.

Are these polygons congruent?
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
yes
no

Answers

Answer:

Yes. Remember that congruent means same shape and the size of length.

Step-by-step explanation:

Flip the second model and jt will be the same as the first. Congruence is that.

Answer:

Yes

Step-by-step explanation:

The borders are congruent by measure

Evaluate the expression when, c=7 and x=-2
c-4x

Answers

Answer:

The answer to this expression would be 15

Step-by-step explanation:

(7) - 4(-2) = 7 + 8 = 15

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{c - 4x}}\\\huge\boxed{\mathsf{\rightarrow 7 - 4(-2)}}\\\huge\boxed{\mathsf{\rightarrow 7 -(-8)}}\\\huge\boxed{\rightarrow{\mathsf{7 + 8}}}\\\huge\boxed{\mathsf{\rightarrow 15}}\\\\\\\\\\\huge\text{Therefore, your answer is: \textsf{15}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

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

Solve B=1/4m(s+z) for s

Answers

Answer:

[tex]s = \frac{-mz+4B}{m}[/tex]

Step-by-step explanation:

Step 1: Distribute.

[tex]B = \frac{1}{4}m * s + \frac{1}{4}m * z[/tex] [tex]B = \frac{1}{4}ms + \frac{1}{4}mz[/tex] [tex]\frac{1}{4}ms + \frac{1}{4}mz = B[/tex]

Step 2: Subtract 1/4(mz) from both sides.

[tex]\frac{1}{4}ms + \frac{1}{4}mz - \frac{1}{4}mz = B - \frac{1}{4}mz[/tex] [tex]\frac{1}{4}ms = -\frac{1}{4}mz + B[/tex]

Step 3: Divide both sides by m/4.

[tex]\frac{1}{4}ms/\frac{m}{4}=(\frac{-1}{4}mz + B)/\frac{m}{4}[/tex] [tex]s = \frac{-mz+4B}{m}[/tex]

Sienna planned a rectangular pool, as shown in the scale drawing below. 11 in. 7 in. Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long. She then decided to make a pool with a final length of 33 ft. Which expression finds the change in scale factor for the longer pool Sierra is building?​

Answers

Given that Sienna planned a rectangular pool drawn on a scale 11 inches long by 7 inches wide, and Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long, and she then decided to make a pool with a final length of 33 ft, to determine which expression finds the change in scale factor for the longer pool Sierra is building the following calculation must be performed:

11 inches = 0.916 feet 11 / 0.916 = 12 7 inches = 0.583333 feet 7 / 0.5833333 = 12 Thus, the initial scale is 1:12. 33 / 0.916 = 36

Therefore, the scale factor went from 1:12 to 1:36.

Learn more in https://brainly.com/question/2302757

Answer:

2ft/3ft

Step-by-step explanation:

True or false? Multiplying a number by itself creates as “perfect square”.

Answers

Answer:

true

Step-by-step explanation:

This diagram shows a pre-image △ABC, and its image, ​△A′′B′′C′′​, after a series of transformations. Select from the drop-down menus to correctly complete the statements. △ABC is Choose... to become △A′B′C′. Then ​△A′B′C′​ is Choose... to become ​△A′′B′′C′′​ . Because the transformations are Choose... , the pre-image and image are Choose... . Triangles on a coordinate plane whose axes are labeled x and y. Triangle A B C has vertex A at 1 comma negative 1, vertex B at 4 comma negative 2, and vertex C at 7 comma 2. Triangle A prime B prime C prime has vertex A prime at negative 1 comma 1, vertex B prime at negative 4 comma 2, and vertex C prime at negative 7 comma negative 2. Triangle A double prime B double prime and C double prime has vertex A double prime at negative 1 comma negative 2, vertex B double prime at negative 4 comma negative 1, and vertex C double prime at negative 7 comma negative 5.

Answers

The answers that complete the statements of the series of transformations are;

- △ABC to △A′B′C′; because the △ABC has been rotated at angle of 180° about the origin.

- △A′B′C′ to △A′′B′′C′′; Because the △A′B′C′ has been shifted down by 3 units.

- All 3 transformations are rigid transformations

- All three transformations are congruent transformations.

The image showing triangles △ABC, ​△A′′B′′C′′​, and △A′B′C′ is missing and so I have attached it.

From the image attached, we see the following coordinates of the triangles;

Coordinates of △ABC; A(1, -1), B(4, -2), C(7, 2)

Coordinates of △A′B′C′; A'(-1, 1), B'(-4, 2), C'(-7, -2)

Coordinates of ​△A′′B′′C′′; A''(-1. -2), B''(-4, -1), C''(-7, -5)

Now, in transformation from △ABC to △A′B′C′, we see that the pattern of transformation is;  (x, y) → (−x ,−y). This pattern where coordinates of x and y are transformed to the negative part of them denotes that there has been a rotation at angle of 180° about the origin.

In transformation from △A′B′C′ to △A′′B′′C′′, we see that triangle shifted down because the y-coordinates have reduced by 3 units. Thus, we can say that the transformation was to shift △A′B′C′ down by 3 units.

In each of the transformations, we can tell that regardless of the position of the triangle, the distances AB, BC and AC remain the same. Thus, the transformation is rigid. The transformations are also congruent because all their corresponding sides are equal.

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Change 5 2/5 into an improper fraction. What is the answer?

Answers

Answer:

27/5

Step-by-step explanation:

5 wholes=5/1

convert 5/1 into fifths, which is 25/5

add 25/5 to 2/5 to get your answer, 27/5

-3x + b = 6x

solve for x

Answers

Answer:

x = 1/9(b)

Step-by-step explanation:

Step 1: Subtract 6x from both sides.

[tex]-3x + b - 6x = 6x - 6x[/tex] [tex]-9x + b = 0[/tex]

Step 2: Subtract b from both sides.

[tex]-9x + b - b = 0 - b[/tex] [tex]-9x = -b[/tex]

Step 3: Divide both sides by -9.

[tex]\frac{-9x}{-9}= \frac{-b}{-9}[/tex] [tex]x = \frac{1}{9}b[/tex]

Therefore, [tex]x = \frac{1}{9}b[/tex].

Multiply the binomials using box method or algebra tiles
(x-5)(x+1)

Answers

Hello!

The answer is B.)

Could someone please help answer this, no spam please, will give brainliest, thank you (homework help)!

Answers

Answer:

144

Step-by-step explanation:

48x4-48=144

Answer:

Question : The dress store is having a sale where all merchandise is 1/4 off. A woman buys $48 of merchandise at the sale price

Answer :

There are two ways to look at this.  If we take 1/4 off, then the $48 is 3/4 of the original price.

 

(3/4)p = 48

(4/3)(3/4)p = 48(4/3)

p = 64

 

Regular price is $64.

Step-by-step explanation:

- Amaya :))

More like this : https://brainly.in/question/27025290?referrer=searchResults

Help I’ll mark as brainliest pls!!!!!

Answers

Answer:

B: Distributive property

Step-by-step explanation:

It is distributive because Robert distributed 3 to x and 2 to make the equation 3x+6=21.

distributive property

Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer.
2x+65=4x−3

Answers

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

Plz help it’s due tonight!!!

Answers

Answer:

x = 12

A = 83

B = 38

c = 59

Step-by-step explanation:

Hi please help quick! what's -2 5/11 - 7 1/11

Answers

Answer:

Your answer will be -9.54545454545

Explanation:

I don't really understand what just happened to my calculator but i searched on goo gle but it's the correct answer..

Hope it helps you..Y-your welcome in advance..

(;ŏ﹏ŏ)(ㆁωㆁ)

-9 6/11 Since they are both negative you need to add them together. -2-7=-9
-5/11-1/11=-6/11
The answer is -9 6/11

An ostrich was 960meters east of its nest. It ran west at a constant velocity for 160seconds. In that time, it ran halfway to its nest. What was its velocity?

Answers

Answer is 3 m/s.

Step-by-step explanation:-

The ostrich ran at a constant velocity, so it's velocity was :

[tex]velocity = \frac{distance}{time} [/tex]

It is said that the bird ran for 160 seconds and it made it half-way to its nest, so the distance was :

[tex]distance = \frac{960 \: metres}{time} [/tex]

[tex]distance = 480 \: metres[/tex]

And the velocity is :-

[tex]velocity = \frac{480 \: metres}{160 \: seconds} [/tex]

[tex]velocity = 3 \: m/s[/tex]

Therefore, the ostrich ran at a velocity of 3 m/s .

A conside the equation y= 1.5x+2. Find four pairs of x and y values that make the equation true.plot points (x,y) on the coordinate plane.

Answers

(2,5) (1,3.5) (4,6) (9,11)

Question 17
5 pts
What inequality is shown on the graph?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
23
O2<3
O2 > 3
O3 <3

Answers

Answer:

[tex]x \geqslant 3 [/tex]

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