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 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds.

Answers

Answer 1

Answer:

There were 15 small boxes shipped and 5 large boxes shipped.

Step-by-step explanation:

Let s = the number of small boxes shipped

Let l = the number of large boxes shipped

Each small box weigh 35 pounds, so (s) small boxes weigh 35s pounds. Each large box weigh 65 pounds, so (l) large boxes weigh 65l pounds. Therefore, the total weight 35s + 65l equals 850:

                                                 35s + 65l = 850

Since there were 3 times as many small boxes shipped as large boxes, there were MORE small boxes, so if we multiply 3 by the number of large boxes, we will get the number of small boxes, meaning s equals 3l

                                                  s = 3l

Write System of Equations:

                                                 35s + 65l = 850

                                                     s = 3l

Substitute value of s into the first equation:

35(3l) + 65l = 850

105l + 65l = 850

170l    850

__   =   __  

170      170

  l = 5

Since l = 5, we know 5 large boxes were shipped.

Use l = 5 to solve for s:

s = 3l

s = 3(5)

s = 15

Since s = 15, we know 15 small boxes were shipped.


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I used Symbolab to calculate my answer. It is y=4x + 16.

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The perimeter of a rectangle is 70cm. If the length of the rectangle is 5cm more than its breadth, find the dimensions of the rectangle.

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Which could be the first step in solving this equation?
5x + 4x - 72
A)
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B)
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0)
Subtract 72 from both sides of the equation
D)
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A combine like terms
Hi :)

The answer is A

Because 5x and 4x have the same variable, we can add them together

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If m<5=63°, find the measure of <3.

Answers

Answer:

angle 3's measurement should be 117 degrees

hope this helps :)

The measure of angle 3 is 117 degrees.

Calculation of an angle:

In terms of geometry, an angle refers to the figure i.e. credited by two rays that should be met out at a common endpoint. An angle should be presented by the symbol ∠.

Since the angle 5 is 63 degrees

and, the total of two angles is 180 degrees

So, the angle 3 is

= 180 - 63

= 117 degrees

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Please help a girl out!! :(( im really confused and it would mean a lot if someone helped!

Answers

Answer:

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Step-by-step explanation:

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a. y = -2x + 3
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Answers

Answer:

B

Step-by-step explanation:

y = 2x - 3

.....20 characters smh

Solve the inequality:


2x−9≥17

Select one:

x≤13

x≥3

x≤3

x≥13

Answers

Answer:

x≥13

Step-by-step explanation:

add 9 to both sides

2x≥26

divide both sides by 2

x≥13

A statement that two ratios are equal is called a

Answers

The answer is proportion. A proportion basically equates two ratios.

A statement that two ratios are equal is called a proportion.

In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.

Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.

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Find the area of a rectangle with length of 3 inches and width of 8 inches.
Area = _____ square inches.

Answers

Answer:

24 in

Step-by-step explanation:

L × W = A3 × 8 = 24 in

I hope this helps!

Answer:

24

Step-by-step explanation:

lXw= area

which list shows the numbers 2/3, 9/11 and 7/9 arranged from least to greatest​

Answers

Answer:

2/3; 7/9; 9/11

Step-by-step explanation:

You have to divide them and you will get a decimal that is how you put them in numerical order

How many 180, degrees angles does it take to make a full turn?

Answers

Answer:

2 times

Step-by-step explanation:

you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!

What do the two lines in the graph below have in common?

Answers

Answer: Parallel and same slope

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What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
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D. y-12=6/5(x-9)​​

Answers

Answer:

The equation of the line is y - 12 = [tex]\frac{5}{6}[/tex] (x + 9) ⇒ B

Step-by-step explanation:

The slope-point form of the linear equation is

y - y1 = m(x - x1), where

m is the slope of the line(x1, y1) are the coordinates of a point lie on the line

∵ The slope of a line is [tex]\frac{5}{6}[/tex]

∴ m = [tex]\frac{5}{6}[/tex]

∵ The line passes through point (-9, 12)

∴ x1 = -9 and y1 = 12

→ Substitute these values in the form of the equation above

∵ y - 12 = [tex]\frac{5}{6}[/tex] (x - -9)

→ Remember (-)(-) = (+)

∴ y - 12 = [tex]\frac{5}{6}[/tex] (x + 9)

∴ The equation of the line is y - 12 = [tex]\frac{5}{6}[/tex] (x + 9)

9s - 5g=4u, for s i need the answer pls

Answers

Answer:

9s-5g=-4u

*Isolating the S variable*

9s = -4u+5g

s = (-4u + 5g)/9

The answer is option B.

The correct answer choice is B.

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Answers

Answer:

FG = 18

Step-by-step explanation:

FG + GH =  FH

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Answer: FG is 18

Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18

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Answers

Answer: 15 motorcycles and 60cars

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Answers

Answer:1180,740

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Which expression represents “7 more than x” 7+x x-7
x÷7 7x

Answers

Answer:

7+x

Step-by-step explanation:

this could also be written as “x + 7” and it means 7 more than (+) x

Answer:

It is 7+x (✿◠‿◠)

PLEASE HELP, MARKING BRAINLIEST!!!!

These triangles are congruent by _____.

A. AAS
B. SAS
C. HL
D. Not enough information

Answers

Answer:

AAS

Step-by-step explanation:

Angles in left and right corner are congruent (isosceles triangle)

Two right angles in the middle

6) The wind blew away 35 of your muffins.
That was 5/6
of all of them! With how
many did you start?

Answers

Answer:

42 muffins

Step-by-step explanation:

In order to find the answer, you would divide 35 by 5/6 which would equal 42. So you started with 42 muffins.

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solve 3(x-4)=16+5x show work

Answers

Answer:

hi… I think it's written that way

At an auction a company sells 150 television sets for an
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Answers

Answer:

They lost $250 total

Step-by-step explanation:

[tex]150 \times 65 = 9750[/tex]

[tex]10000 - 9750 = 250[/tex]

[tex]250[/tex]

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6 bracelets and 3 necklaces = 108 in

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Answers

The prime factorization of 45 would be 5×9, and 9 is 3×3, so 45 would be 5×3^2.

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Answers

Answer:

2.3

v

5

Step-by-step explanation: your welcome

Answer:

v=-2.1739

Step-by-step explanation:

-2.3v-5=0   so -2.3v=5 divide by -2.3 on both sides and get -2.1739

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Answers

Answer:

gotta be C

Step-by-step explanation:

If the leading coefficient is negative, always factor out the negative.
-x^2+5x-6​

Answers

Answer:

-1(x-2)(x-3)

Step-by-step explanation:

first we factor the negative:

-1 (x^2 - 5x +6 )

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-1(x-2)(x-3)

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An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.

Answers

Answer:

The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Step-by-step explanation:

From the question, one bucket dumps water every 18 minutes, say bucket A;

and the other bucket dumps water every 16 minutes, say bucket B.

Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,

that is, both buckets dumped water at 2:30 P.M.

For bucket A, the next times it will dump water will be:

2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.

For bucket B, the next times it will dump water will be:

2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.

From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

The fifth term of a non-linear sequence is 9.
The term-to-term rule is divide by 3'.
Work out the second term of the sequence.​

Answers

Answer:

a₂ = 243

Step-by-step explanation:

The term to term rule from left to right in the sequence is divide by 3

The term to term rule from right to left is the opposite, multiply by 3

Given

a₅ = 9, then

a₄ = 9 × 3 = 27

a₃ = 27 × 3 = 81

a₂ = 81 × 3 = 243 ← required term

expand (2a +36) (2a-3b​

Answers

Use the binomial expansion theorem to find each term. The binomial theorem states
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