A shipping container will be used to transport several 50-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 26500
kilograms. Other shipments weighing 3200 kilograms have already been loaded into
the container. Write and solve an inequality which can be used to determine x, the
number of 50-kilogram crates that can be loaded into the shipping container.

Answers

Answer 1

Answer: 4660

Step-by-step explanation:

Given

Weight of a single crate =50 kg

Maximum weight in the container =26500 kg

Other shipments weight  =3200 kg

Here, x is the no of 50 kg crate

Weight of x crates and other shipments must be equal to or less than 26500 i.e.

[tex]50x+3200\leq 26500[/tex]

subtracting 3200 both sides

[tex]5x\leq23300\\x\leq4660[/tex]

So, maximum no of crates to be loaded are 4660

Answer 2

Answer:

Inequality: 50x+3200[tex]\leq[/tex]26500

Final answer: x[tex]\leq[/tex]460

Step-by-step explanation:

We want to now how many 50 kilogram boxes we can get on so 50x (X repersenting the amount of boxes.


Related Questions

Find the length of the missing side (nearest tenth).
21 in
7 in

Answers

Answer:

22.1

Step-by-step explanation:

21²+7²=490

Square root of 490

=22.1359

=22.1

On a test, Marcus answered 12 out of the first 15 problems correctly. If this rate continues
how many of the next 25 problems will he answer correctly?

Answers

Answer:

20

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).

Answers

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Step-by-step explanation:

Given the points

(-4,1)(4,3)

Finding the slope between the points (-4,1) and (4,3)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)[/tex]

[tex]m=\frac{3-1}{4-\left(-4\right)}[/tex]

Refine

[tex]m=\frac{1}{4}[/tex]

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

in our case,

m = 1/4(x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x-\left(-4\right)\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

a system of inequality, where x is the rate of a spaceship in a video game and y is where the ship travels on the screen in 3.5 seconds, is represented by the graph. which symbol could be written in both circles in order to represent this system algebraically?

Answers

Answer: B. >=

Step-by-step explanation: Sorry if I'm late, but here's proof. If you see that both the lines intersect and split ways at -6 x-int on the graphing calculator, its the same graph. So the answer would be >=.

:)

The system of inequality is solved and 3 ≤ x ≤ 5

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y ≤ (7/4)x + (17/2) (left circle)

y ≥ (7/4)x + (17/2) (right circle)

So, we can write the system of inequalities algebraically as:

3 ≤ x ≤ 5

(7/4)x + (17/2) ≤ y ≤ (7/4)x + (17/2)

The correct symbol to write in both circles in order to represent this system algebraically is "≤" (less than or equal to)

To learn more about inequality equations click :

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Problem 6
Last month the donut shop made 6,270 donuts. If there were 30 days last 10 points
month and they made the same number of donuts each day, how many
donuts were made each day?'
*
A:29
B:290
C:299
D:209

Answers

I think it is 290 because you add the three numbers

PLEASE HELPPP
What is the image point of (3,-2) after the transformation ry-axis 0 T-1,-1?

Answers

Answer:

5,89 is the right left wing of the answer

Step-by-step explanation:

Complete the table of values for y= 2x-4

Answers

Answer:

-8,-6

Step-by-step explanation:

The completed table for y = 2x - 4 is ( - 2, 0), (- 1, - 6), and (0, -4)

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function y = 2x - 4.

Now at x = - 2 we'll simply put the numerical value of x in y.

y = 2(2) - 4.

y = 4 - 4.

y = 0.

( - 2, 0).

At x = - 1.

y = 2(-1) - 4.

y = - 2 - 4.

y = - 6.

(- 1, - 6).

At x = 0.

y = 2(0) - 4.

y = 0 -4.

y = -4.

(0, -4)

learn more about functions here :

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1. Consider the inequality 4x + 12 > 6x +24. Which value(s) of rare possible
solution(s) to the inequality?
You CAN have one or more solutions.
a.
x= -16
b.
x = - 10
C.
x= -6
d.
x = 6
e.
X = 10
f.
x = 16

Answers

Answer:

A. -16

Step-by-step explanation:

6 times -16 = -96 + 24 = -72

4 times -16 = -64 + 12 = -52

HELP ME PLEASE!!
Also explain how you know your answer is correct. Thank you!

Answers

Answer:

C

Step-by-step explanation:

At least means "Equal to, or more". So C

Is this correct or no

Answers

Answer:

Incorrect

Step-by-step explanation:

The correct answer is A.

The slope-intercept form is y-y₁=m(x-x₁)

The problem with B is that if you take out the coordinates for x₁ and y₁, you get the coordinates (1,4). This coordinate does not land on the line.

The coordinates for A is (-1,4). This point does land on the line.

Pls help
Show workings???

Answers

Answer: 11.375°

Step-by-step explanation:

55 + (4x + 17) + (4x + 17) = 180°    Set up equation

4x + 4x + 55 + 17 + 17 = 180°    Commutative Property of Addition

8x + 89 = 180°    Combine like terms

8x = 91°    Subtract 89 from both sides

x = 11.375°   Divide both sides by 8

Not entirely sure about this one; you might have to round the answer.

what is 16/20 minus 1/4 in simpilest forrm

Answers

Answer:

11/20

Step-by-step explanation:

16/20 - 1/4

rewrite 1/4 with same denominator (multiply by 5)

16/20 - 5/20 = 11/20

I need help solving this ​

Answers

Answer: h(35) = 43

Step-by-step explanation: The question is asking you to solve the equation if t = 35:

h(t) = 50 - t/5

h(35) = 50 - 35/5 <— I substituted 35 in for t.

h(35) = 50 - 7

h(35) = 43

Answer:

The answer is 43

Step-by-step explanation:

[tex]h(t) = 50 - \frac{t}{5}[/tex]

[tex]h(35) = 50 - \frac{35}{5}[/tex]

[tex]h(35) = 50 - 7[/tex]

[tex]h(35)=43[/tex]

Solve:
x+ 10 - 5 = -9

Answers

x = -14

x+10-5=-9
x+5=-9
x=-14

Pls help asap! Will give brainliest

Answers

Answer: 5,0 6,1 7,2 9,4 11,6

Step-by-step explanation:

Given YW bisects
*image is attached above*

Answers

Answer:

Third Option ∠XYW ≅∠ZYW

Step-by-step explanation:

Line bisector cuts an angle in half.

HELP PLEASE I NEED AN ANSWER FAST!!

Answers

Answer: 17

Step-by-step explanation: set 3x-9(TS)= to 42(PQ)

you should get 51=3x

divide by three and get 17 hope this helps

geometry:(
*image shown above*

Answers

Answer:

y=-3.5x-9.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

so we use the equation y2-y1=m(x2-x1)

let's say (-3,1) is point 1 and (-5,8) is point 2

we plug in what we know

8-1=m(-5-(-3))

subtracting a negative is the same as adding so -5 - (-3) = -2

7=-2m

divide both sides by -2

-7/2=m

-3.5=m

so slope intercept form is y=mx+b

we know the slope (m) but we still need the "b" which is the y-intercept.

so you pick whichever point you want (I'm going to chose point 1 but it doesn't matter) and plug it in

1=-3.5(-3)+b

1=10.5+b

-9.5=b

so the equation would be y=-3.5x-9.5

Find the inverse function of

m(x) = 5x - 5

Answers

Answer:

5(x−1)

Step-by-step explanation:

I don't know how to solve for any of the values so please help me!!

Answers

a = 49

You find this by adding 109 and 30, then subtracting from 180.

b = 55
c = 55

we know that the place where the two lines meet has to be 360, so we subtract the two 109s from it. Divide the answer by 2. This number is added to 54 and subtracted from 180. This gives us 55. c is in a position that equals 55.

alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?

Answers

Answer:

48.6 quart of fertilizer

Step-by-step explanation:

The directions say to use 4/5 of a quart of fertilizer for each acre of land.

Alan has two fields,

Field 1

22 1/2 acre of land

1 acre of land = 4/5 quart

22 1/2 acre of land = x

Cross Multiply

x = 22 1/2 × 4/5

x = 45/2 × 4/5

x = 18 quart of fertilizer

Field 2

38 1/4 acres of land

1 acre of land = 4/5 quart

38 1/4 acre of land = x

Cross Multiply

x = 38 1/4 × 4/5

x = 153/4 × 4/5

x = 30.6 quart of fertilizer

The total fertilizer that Alan will need for his two fields is calculated as:

18 quart of fertilizer + 30.6 quart of fertilizer

= 48.6 quart of fertilizer

Here’s another one 4/5-(-2/3)

Answers

Answer:

1.46666666667

Step-by-step explanation:

??

Answer:

22/15 or 1  7/15

Step-by-step explanation:

If you have two negatives in a row they make a positive, so the question is 4/5 + 2/3= ?. You can either plug that into a calculator and get 1.4666... or change the denominator to 15 and get 12/15 + 10/15.

Q2 - Using expressions
Write down a simplified expression
for the perimeter of this triangle:
9x - 8w
5x + gy
5y + 4w
perimeter
Do not factorise the answer.

Answers

Answer:

14x-4w+14y

Step-by-step explanation:

9x+5x-8w+4w+9y+5y

=14x-4w+14y

A building casts a shadow 49 feet long. At the same time, a 36 foot tall flag pole casts a shadow 9.8 feet long. What is the height of the building

Answers

Answer:

180 feet tall

Step-by-step explanation:

36 divided by 9.8 = 3.673469388

3.673469388 x 49 = 180 ft

If a triangle has at least two angles congruent,then it is equilateral

Answers

That is true indeed

oi oi oi help me please

Answers

Answer:

It is impossible for us to answer that question as we weren't provided with a text to analyze.

Step-by-step explanation:

owen and needed to get his computer fixed he took it to the repair store the technician at the store worked on the computer for 5.5 hours and charged him $70 for parts the total is $702.50 what was the total cost of labor per hour

Answers

To figure out this problem, let's set up an equation first to make it easier:

702.50 = 5.5x + 70

x = amount charged per hour

702.50 = 5.5x + 70

-70                   -70

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

632.5 = 5.5x

/5.5       /5.5

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

115   =   x

Owen was charged $115 per hour

Four stores are having a sale on video games. Circuit Shop is selling 6 games for $24.72. Electronic Center is selling 5 games for $20.50. Game Shop has 8 games for $32.00, and Cyber Central has 4 games for $17. Which store has the best deal?

A - Cyber Central
B - Electronic Center
C - GameShop
D - Circuit Shop

Answers

Answer: Its gameshop its being sold for only 4 dollars each

Step-by-step explanation:

you divide each sum of money by the amount of games and that tells you X the price per game

Mt. Boma is 8150 yards above sea level. There are 3 feet in a yard and 5280 feet in a mile, how many miles above sea level is Mt. Boma?



3.1 miles


46 miles


31 miles


1.5 miles


4.6 miles


15 miles

Answers

Answer:

4.6

Step-by-step explanation:

8,150 x 3 = 24,450 so

8,150 yards = 24,450 feet

and 24,450 divided by 5,280 = ~4.63

so 24,450 feet = 4.6 miles


Find the area of the
regular figure below:

A) 67.3 in2
B) 70.2 in2
C) 74.6 in2
D) 77.1 in 2
E) 82.8 in2

pls show work

Answers

Answer:

Option E

Step-by-step explanation:

Central angles of a regular polygon = [tex]\frac{360}{n}[/tex]

Here, n = Number of sides of the regular polygon

Therefore, central angle of the regular polygon = [tex]\frac{360}{8}[/tex] = 45°

From the picture attached,

m∠AOB = [tex]\frac{45}{2}[/tex] = 22.5°

By tangent rule,

tan(∠AOB) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(22.5°) = [tex]\frac{AB}{OB}[/tex]

AB = OB[tan(22.5°)]

AB = 5(0.414213)

     = 2.07 in

Therefore, area of ΔAOC = 2 × (Area of ΔABO)

                                          = [tex]2(\frac{1}{2})(\text{Base})(\text{Height})[/tex]

                                          = AB × OB

                                          = 2.07 × 5

                                          = 10.35 in²

Since, area of the given regular octagon = 8 × (Area of ΔAOC)

                                                                    = 8(10.35)

                                                                    = 82.5 in²

Therefore, Option (E) is the answer.

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