#7: Five containers, each weighing the same amount, were placed on a 30-pound

platform. The platform and containers were lifted onto a train car. The maximum weight

that can be lifted by the cable is 780 pounds. Which inequality represents the possible

weight of one container, x, on the platform?

A. x < 130

B. x < 150

C. x < 156

D. x < 162

Answers

Answer 1

Answer:

Option (B)

Step-by-step explanation:

Let the weight of one container = x pounds

Therefore, weight of 5 containers = 5x pounds

Weight of the platform = 30 pounds

Total weight of the platform and containers = (5x + 30) pounds

If the maximum weight that can be lifted by the cable = 780 pounds

Inequality representing this situation will be,

(5x + 30) < 780

5x < 780 - 30

5x < 750

x < 150

Therefore, Option (B) is the answer.


Related Questions

A butcher displays the cost, in dollars, of different amounts of meat in the table shown.
Cost (dollars)
Amount of Meat
(pounds)
3
5
21
35
7
49
Create an equation that can be used to find the cost, c, for p pounds of meat.

Answers

Answer:

c=7p

e.g. 21=7*3

hope this helps. if not, send me a message :)

The equation representing the cost c in dollars and different amounts of meat in pounds p, is c = 7p

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, A butcher displays the cost, in dollars, of different amounts of meat in the table shown.

Finding the unit price,

3 pounds = $21

1 pound = 21/3 = $7

Therefore, if c is cost and p is total pounds,

c = 7p

Hence, the equation representing the cost c in dollars and different amounts of meat in pounds p, is c = 7p

Learn more about equations, click;

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A rectangle has an area of 120 square feet and a width of 8 feet. please help

Answers

Answer:

Step-by-step explanation:

length = 120/8 = 15 feet

perimeter = (15 + 8) x 2 = 46 feet

The area is the product of the length and width then the length of the rectangle is 15 feet.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 120 square feet and a width of 8 feet.

Then the length of the rectangle will be

Area = Length × Width

 120 = 8L

     L = 15

Then the length of the rectangle is 15 feet.

More about the rectangle link is given below.

https://brainly.com/question/10046743

Find the slope of the line using the two given points.

(0, -2) and (3, 4)

Answers

Answer:

m = 2

Step-by-step explanation:

Using the slope formula, we can find the slope of two points:

        y2 - y1

m = --------------

        x2 - x1

The slope is the same thing as change in y over change in x. Now, plugging in the points (0, -2) and (3, 4):

       4 - (-2)       4 + 2     6

m = -----------  =  ------- = ------  =  2

        3 - 0            3         3

So the slope is 2.

What is MA enter your answer in the box

Answers

Answer:

m<8 is 30°

Step-by-step explanation:

Here are some images that can help you have a better understanding :

does anyone know the answer?

Answers

Square root of a perfect square

Which two triangles are congruent

Answers

UVW and HIJ are congruent

UVW and HIJ are congruent

Maria and her friends ate 5/8 of the 16 oranges that were at Maria's house. which is a reasonable answer for 5/8 x 16? please help!!

Answers

Answer:

10

Step-by-step explanation:

Multiply by 2
5(2). 8(2)
10/16
The answer is 10

whats ur fav book, song, movie

for brainliest; [whats ur fav economic system and why]

:)

Answers

Answer:

hm i like the giver and my favorite economic system is a traditional economy

Step-by-step explanation:

I say that because tradition is pretty much based on customs and beliefs and because of that it helps form the goods

Answer:

My fav book is The Tail of Emily Windsnap. My fav song is Imagine Dragon -Believer. My fav movie is Frozen II & Raya and the Last Dragon

Step-by-step explanation:

My fav economic system is market economy because they make the prices fair :)

Help! I need an answer in 30 minutes!

Answers

Answer:

table 2.

Step-by-step explanation:

in table 2 you can see that if you multiply any number on the distance side of the chart by 10 you will see that the answer is by the money side

how many square feet of outdoor carpet will we need for this hole

Answers

Answer:

Step-by-step explanation:

area=(6+3)/2×4+7×3+1/2×2×3

=18+21+3

=42 ft²

Solve for p.
9(p − 4) = −18

p =

Answers

Answer:

The answer is p = 2.

Step-by-step explanation:

1) Divide both sides by 9.

[tex]p - 4 = - \frac{18}{9} [/tex]

2) Simplify 18/9 to 2.

[tex]p - 4 = - 2[/tex]

3) Add 4 to both sides.

[tex]p = - 2 + 4[/tex]

4) Simplify -2 + 4 to 2.

[tex]p = 2[/tex]

Therefor, the answer is p = 2.

Answer:

p =2

Step-by-step explanation:

9(p-4) =-18

9p-36=-18

9p = -18 +36

9p = 18

divide both side by 9

p =2

Billy is building a frame for his father's Garden in the shape of an isosceles trapezoid. The length of the parallel sides are 10 m and 14 M the perimeter is 40 m what are the lengths of the nonparallel sides​

Answers

Answer:

C

Step-by-step explanation:

Hey There!

So if you didn't know in an isosceles trapezoid the non parallel sides are congruent

So given the base lengths and the perimeter we subtract the given length from the perimeter and divide that by 2

40-10=40

30-14=16

16/2=8

so the lengths of the non parallel sides would be 8 cm and 8 cm

Solve the system of equations

Answers

The solution is A

x=2 y=-1

the solution is where the two lines intersect
Answer= A

This is because you have to turn one of the equations to a negative.

Can someone please help me with this question please answer it correctly and please explain.

A jar contains nickels and dimes. There is a total of 25 coins in the jar. The value of the coins is $1.75. How many nickels and how many dimes are in the jar?

Answers

Answer:

15 nickels and 10 dimes

Step-by-step explanation:

Dimes - d,     dime = 10c,  total dimes = 10dNickels - n,   nickel = 5 c,  total nickels = 5n$1.75 = 175 c

Equations:

d + n = 2510d + 5n = 175

Multiply the first equation by 5 and subtract from the second one:

10d + 5n - 5d - 5n = 175 - 1255d = 50d = 10

Find n:

n = 25 - d = 25 - 10 = 15

Select the correct answer from each drop-down menu.
The revenue that an apparel company earns each month for its different product lines fluctuates throughout the year. Over the course of a year,
the revenue earned from clothing sales each month is modeled by function where x is the number of months since the beginning of the year.
(x)
140-
120-
100
80-
-60
40
20
X
2
6
8
10
12
The revenue earned from sales of shoes and accessories each month is modeled by function s, where xis the number of months since the
beginning of the year.
S(I) = 0.6-3. - 10.2:2 + 32.45 + 127.2
Use this information to complete the statement
vat
the
Between the 3rd and 6th months, the revenue earned from sales of shoes and accessories is
revenue earned from sales of clothing.

Answers

Answer:

I think its decreasing and then at a slower rate than

Step-by-step explanation:

Because if you look at the graph it's decreasing between the 3rd and 6th months, and the revenue is just at a slower rate because the line isn't at an aburpt angle.

Answer:

Edmentum correct answer based on comments from the other answer !! :)

A planr leaves and flies due north at 280 miles per hour. AT the same time another plane takes off from the same airport and flies due east at a speed of 300 miles per hour. WHat is the distnace between the two planes after 1 hour

Answers

Answer:

Distance between the two planes after 1 hour = 410 miles

Step-by-step explanation:

Given - A plane leaves and flies due north at 280 miles per hour. At

            the same time another plane takes off from the same airport

            and flies due east at a speed of 300 miles per hour.

To find - What is the distance between the two planes after 1 hour ?

Proof -

Given that , Plane 1 flies due north at a speed of 280 miles per hour.

So,

Total distance traveled in 1 hour = 280 miles

Also,

Plane 2 flies due east at a speed of 300 miles per hour.

So,

Total distance traveled in 1 hour = 300 miles.

The diagram is as follows :

Now,

We have to find the distance after 1 hour i.e. AC

In Triangle ABC ,

By using Pythagoras theorem, we get

AC² = BC² + AB²

⇒AC² = (300)² + (280)²

⇒AC² = 90,000 + 78,400

⇒AC² = 168,400

⇒AC = √168,400

⇒AC = 410.366 ≈ 410

∴ we get

Distance between the two planes after 1 hour = 410 miles

answer asap pllssssss​

Answers

Answer:

I would say D I'm not to sure though

Step-by-step explanation:

Good Luck

An entrepreneur sold a damage bedspread for $130.50, there by making a loss of 13% on the cost price. Determine the cost price of the bedspread.

Answers

Answer:

130.50 X 13% = $16.97

130.50 - 16.97 = 113.53

Answer 113.53

Step-by-step explanation:


The population of Wakanda is 5231281. Wakanda is about 70323 square miles. What is the population density of Wakanda? Round your answer to the nearest people per
square mile.

Answers

5.231.281 : 70.323 = 74,3 people per square mile
or 74 people per square mile

Find sin 0, where 0 is the angle shown.
Give an exact value, not a decimal approximation.

Answers

Answer:

Answer: Sin0 = 8/8.5

Step-by-step explanation:

Step-by-step explanation: What we have is a right angled triangle, with two sides given and one angle which is the reference angle (unknown angle).

The Sine of the angle is calculated as

Sin0 = opposite/hypotenuse

We have the opposite side (facing the reference angle) as 8 units and the hypotenuse (facing the right angle unknown), which we shall label as X.

To calculate the hypotenuse, we shall apply the Pythagoras theorem which is,

X² = 3² + 8²

X² = 9 + 64

X² = 73

Adding the square root sign to both sides of the equation, we now have

X = √73

X = 8.5 (approximately)

Now that we have the hypotenuse as 8.5, the Sine of the angle can now be calculated as

Sin0 = opposite/hypotenuse

Sin0 = 8/8.5

The Eiffel Tower is 986 feet tall. If Caroline built a scale model that is 6 inches tall.
What is the scale factor used?
Helpp

Answers

Answer:

sorry I can't know the answer

The scale factor used is {k} = 164.4.

What is scale factor?

Scale factor is the ratio of original dimensions to the scaled dimensions.

Given is that Eiffel Tower is 986 feet tall. Caroline built a scale model that is 6 inches tall.

We can write the scale factor as -

{k} = 986/6

{k} = 164.4

Therefore, the scale factor used is {k} = 164.4.

To solve more questions on scale factor, visit the link-

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Consider Functions F and G

Answers

Answer:

A

Step-by-step explanation:

We are given two functions:

[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]

And we want to find:

[tex]f(x)+g(x)[/tex]

Thus:

[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]

We can factor the denominator of the first term:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]

In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]

Multiply:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]

Combine:

[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]

Simplify:

[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]

We can expand the denominator:

[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]

Therefore, our answer is A.

Answer:

A

Step-by-step explanation:

I need help for this question please!!!!

Answers

Answer:

a. 35 degrees

b. 145 degrees

Step-by-step explanation:

a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is isosceles, which means that the two base angles and sides are congruent.

Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.

b. There are two approaches to solve this problem. I have worked both out.

1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.

2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.

Either way you use, you get the correct answer. Hope this helped!


Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 12 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 42 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores

Answers

Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Now, we know percentage accuracy is given by :

Therefore, percentage accuracy he had with predicting his scores is 92.86%.

Which two-dimensional shape cannot be used to create a pyramid?
A. circle
B. triangle
C. rectangle
D. hexagon

Answers

Answer:

A,C,D

Step-by-step explanation:

The only one you might use it the triangle

The answer is A, C , d

RES
Town Q and Town P were 119 km apart. Van drove from
Town Q to Town P at an average speed of 70 km/h. How
much sooner would he have arrived at Town P if he had
travelled at an average speed of 85 km/h instead?
min​

Answers

Answer:

18 minutes earlier

Step-by-step explanation:

Given

[tex]Distance =119km[/tex]

[tex]Speed\ 1 = 70km/h[/tex]

[tex]Speed\ 2 = 85km/h[/tex]

Required

Determine how much sooner if traveled at speed 2 instead of speed 1

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Distance}{Speed }[/tex]

For Speed 1

[tex]Time= \frac{119km}{70km/h}[/tex]

[tex]Time= 1.7hr[/tex]

For Speed 2

[tex]Time= \frac{119km}{85km/h}[/tex]

[tex]Time= 1.4hr[/tex]

Calculate the difference

[tex]Difference = 1.7hr - 1.4hr[/tex]

[tex]Difference = 0.3hr[/tex]

Convert to minutes

[tex]Difference = 0.3*60\ min[/tex]

[tex]Difference = 18\ min[/tex]

If traveled at 85km/h, the van will arrive 18 minutes earlier

Complete a function table from an equation
Complete the table.

Answers

The answers are 8,2,-4,-10


Find the value of x.

Answers

Answer:

x=6

look at the picture i sent please

The area of the trapezoid is 40 square units. A trapezoid is shown. The lengths of the bases are 6 and 10, and the height of the altitude is h. What is the height of the trapezoid? Group of answer choices 10 units 12 units 5 units 3 units

Answers

Answer:

5 units  or B

Step-by-step explanation:

Answer:

It is 5 units

Step-by-step explanation:

Use the number line to help you decide which statement is true.

Answers

Answer:

where

Step-by-step explanation:

where's the number line???

Answer:

where the number line

Step-by-step explanation:

you can screen shot the number line

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