A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The second product's unit volume is 3 cu ft, and it weighs 40 lb. If the company's trucks have 2,320 cu ft of space and can carry 21,600 lb, how many units of each product can be transported in a single shipment with one truck using the entire volume and weight capacity?

Answers

Answer 1

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

First product details:

Unit volume = 10 cu ft

Weight of one unit = 50 lb

Second product details:

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = [tex]x[/tex]

Let number of units of second product = [tex]y[/tex]

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

[tex]10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow 5x+4y = 2160...... (2)[/tex]

Multiplying equation (2) with 2 and subtracting equation (1) from it:

[tex]8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}[/tex]

By equation (1):

[tex]10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}[/tex]

Answer is:

Number of units of first product = 112

Number of units of second product = 400


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Someone help me or give me a clue to this I’ll give 15 points

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What is the volume of the figure?

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8 x 5 x 5 = 200cm^3
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Ty cut 1/8 of the yard of grass. Carlos cut 3/4 of the yard. How much of the yard did they cut?



Answers

Answer:

7/8 of the yard was cut in total

Explanation:

Simplify 3/4 to 6/8 and add 1/8 to 6/8 to get your answer.

Hope this helps! :)

Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3,6).

Answers

Answer:

[tex]y=2x[/tex]

Step-by-step explanation:

We want to write an equation in slope-intercept form that passes through the points (2, 4) and (3, 6).

So, we will first find the slope. Let (2, 4) be (x₁, y₁) an let (3, 6) be (x₂, y₂).

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Now, we can use the point-slope form:

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By substitution:

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Distribute:

[tex]y-4=2x-4[/tex]

Adding 4 to both sides yields:

[tex]y=2x[/tex]

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In this case, the y-intercept is 0.

Write an algebraic expression for the phrase “the product of seven and p”.

Answers

Answer:

7*p

Step-by-step explanation:

The product of two numbers is just the two numbers multiplied.

The scale on a map is 1 cm:30 km. How many centimeters would be used to represent 45 kilometers?

Answers

Answer:

1.5 cm.

Step-by-step explanation:

If 1 cm = 30 km, then half a cm equals 15 km.

We need to find 45 km. We know that 1 cm = 30km and half a cm = 15 km. Adding both of these together, we can get 1.5cm = 45km.

please help me with these.. i am stuck

Answers

Answer:

Both are irrational

12√3 = 20.784

9√6 = 22.045

Hopefully this is what you're looking for :)

The water in a fountain is 32.2 inches deep on Sunday. On Monday, 4.7 inches are splashed out and on Tuesday an additional 3.75 inches is lost. Rain adds 2.4 inches to the water level on Wednesday. How deep is the water in the fountain after the rain?

Answers

Answer:

26.15

Step-by-step explanation:

32.2 - 4.7 - 3.75 + 2.4 =26.15

Which graph shows a dilation?

Answers

The answer is b because the shape increases it size and does not change the shape

i need help my question is -2 less than or equal to 3x-2 <10

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A n s w e r:

0 ≤ x < 4

7x + 3y + 2x

Please help me

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Answer:

Your expression would be 9x + 3y

Step-by-step explanation:

Coefficients with the same variables can be added together

7x + 3y + 2x

7x + 3y + 2x

(7x + 2x) + (3y)

= 9x + 3y

Increase $75 by 60%

help please lol

Answers

Answer:

120

Step-by-step explanation:

75, percentage increased by 60% (percent) of its value = 120

Order the numbers from least to greatest √9/4 , 2.5, 5/3, √5

Answers

5/3, 5, 2.5, 9 4
I don’t know how to get the square root symbol

9/4 <5/3 <5<2.5

from least to greatest

using the table above determine the missing value using the equation y equals 4x + 9 ​

Answers

the answer is B 37 your welcome

Which expression shows the result of applying the distributive property to 12(5y+4)?

A. 60y + 4

B. 17y + 16

C. 60y + 48

D. 5y + 48

Answers

Answer:

Step-by-step explanation:

Hello again

Step 1

12(5y+4)  Equation/Question

Step 2

12(5y+4)  Simplify

12(5y)+12(4)

Step 3

12(5y)+12(4)  Solve

answer

60y+48

Hope this helps

what is the value of 0.63?

Answers

Answer:

0.25577484738

Step-by-step explanation:

yea for sure

Answer:

The value of 0.63

Step-by-step explanation:

0.25577484738.

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Can anyone help me with this. This is the only assignment I need for today

Answers

Answer:

100 - 10 = 90 + 7 = 97%

89/100*97= $86.33

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50/100 X 122= $61

100 + 7

48/100 X 107 = 51.36

51.36 + 10= $61.36

100 + 15 = 115

700/100 X 115 = 805

805 - 700 = $105

Find the retail price. Original Price: $185; Markup: 125%.

Answers

Answer:

is that question incomplete?

Four typists can type a total of 600 memos in three days. At that rate, how many memos can three typists type in one day?

Answers

150 memos for 3 typists

The number of memos three typists can type in one day is given by the equation A = 150 memos

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of memos three typists can type in one day be A

Now , the equation will be

The number of typists = 4

The total number of memos by 4 typists = 600 words in 3 days

So , the number of memos by one typist for 3 days = total number of memos by 4 typists / 4

Substituting the values in the equation , we get

The number of memos by one typist for 3 days = 600/4

The number of memos by one typist for 3 days = 150 memos

So ,

The number of memos by one typist for 1 day = number of memos by one typist for 3 days / 3

Substituting the values in the equation , we get

The number of memos by one typist for 1 day = 150/3

The number of memos by one typist for 1 day = 50 memos

So ,

Number of memos three typists can type in one day A = number of memos by one typist for 1 day x 3

Substituting the values in the equation , we get

Number of memos three typists can type in one day A = 50 x 3

Number of memos three typists can type in one day A = 150 memos

Therefore , the value of A is 150 memos

Hence , the number of memos is 150 memos

To learn more about equations click :

https://brainly.com/question/19297665

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Subtract (8x+6)-(9x-4)

Answers

Answer:

-x+10

Step-by-step explanation:

Hey there! [tex]\bold{ (8x+6)-(9x-4)}\\ \bold{Distribute\ your\ negative\ symbol \ (its\ understood\ to\ be\ a\ 1)}\\\bold{=\ 8x+6-9x+4}\\\bold{COMBINE\ your\ LIKE\ TERMS}\\\bold{(8x - 9x)+ (6+4)}\\\bold{8x-9x =-1x}\\\bold{6+4=10}\\\\\\\boxed{\boxed{\bold{Answer: \boxed{\bold{-1x+10 \ (or\ you\ could\ say -x +10\ they\ both\ equal\ the\ SAME)}}}}}\\\huge\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

Please help me!! Will give Brainliest + Lots of Points!!

Answers

I think the answer is, 56.

Answer:

Kiersten height is 6 feet

Length of her shadow is 9 feet

Length of the shadow of the tree is 84 feet

Therefore, the height of the tree is

[tex] \frac{6}{9} = \frac{x}{84} \\ x = \frac{6 \times 84}{9} \\ \boxed{x = 56}[/tex]

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What is the number that should be divided by 20, to get 0.40. Justify your answer.

Answers

Answer:

8

Step-by-step explanation:

We know that x/20=.4

To find x multiply both sides by 20

this means that

x=8

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20 = 0.40x
x = 0.40 x 20
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A painting is on sale at 50% off. The sale price is $320. What was the
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A football is selling for 35% off the original price. The original price was $60. What is the sale price of the football?
please answer them sepreatly.

Answers

320 * 2 = 640

10% of 60 is 6
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60 - 21 = 39

Answer:

1. 640   2. $39

Step-by-step explanation:

1. 50 percent = half of the number so $320 is the sale price we just multiply it by 2 = 320 x 2 = 640

2. first, we find 35% of 60 = 21 then we subract it by 60 = 60 - 21 = $39

Have a wonderful day

Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Lupe was $11 an hour,but only received a $300 bonus. How many hours would they need to work in order to get paid at the same at tye end of the summer?

Answers

Answer:

Step-by-step explanation:

First make an equation,

8x+500=11x+300

Then, with pemdas, cancel out 300 and 8x

200=3x

Divide both sides by 3

Answer is 66.6 reapeating or about 67 hours

Examine the system of equations.

−3x + y = 4,

−9x + 5y = −1


What is the solution?

(
,
)

Answers

Answer:

Here is the answer.

Step-by-step explanation:

Answer:

(-3.5,-6.5)

Step-by-step explanation:

Whats 45 x 34 + t =?

Answers

Step-by-step explanation:

1530t

multiply the 2 numbers and add t

ways the pictures are amazing T~T

I'd love to click like that too lol.

you clicked?

my best click lol

I ain't able to post full

ways have a great day :)

Please help me ASAP!! Thank you!!

Answers

Answer:

2x+y < 7

Step-by-step explanation:

We  are below the line which means less than ( since the line is dotted)

We need to determine the equation for the line

The y intercept is 7 and the slope is

( 0,7) and (2,3)

m = ( 3-7)/( 2-0) = -4/2 = -2

In slope intercept form ( y=mx+b)

y = -2x+7

Changing this to an inequality

y < -2x+7

Add 2x to each side

2x+y < 7

What is the value of c in the equation below?

4 2 b
2x 2= a = с

A. -4

B.-2

C. 1
-
64

D. 1
-
4

Answers

Answer:

b

Step-by-step explanation: since i helped can i have brainlist please :D

PLEASE ANSWER BEST WILL GET FOLLOW THANKS AND 5 STARS AND MAYBE BRAINLEST

Answers

Answer:

10lbs because you would multiply 4.5 by 2.205 which would be 9.9208 which would round to ten

Step-by-step explanation:

what is 3 divided by 7 times 56 minus 45

Answers

Answer:

-21 is correct

Step-by-step explanation:

&$,#;#&#>#*÷

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