A concrete mixing machine weighing 800 pounds needs to be loaded with rocks and sand. Trucks carrying 120 pounds of sand
and 30 pounds of rocks will be used to load the machine. In order for the machine to function properly, the combined weight
of the machine and the mixing load cannot exceed 2,800 pounds.
Which inequality describes the restriction on truck loads, x, to ensure the mixing machine functions properly?
A. 120x+800 > 2,800
B. 150x + 800 > 2 2,800
C. 800x + 150 < 2,800
D. 150x+800 < 2,800

Answers

Answer 1

The inequality to ensure the mixing machine functions properly is,

D. 150x + 800 < 2800

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

From the given information and the statement that the combined weight should not exceed  2800 pounds the inequality that represents the number of loads it can take  to ensure the mixing machine functions properly is,

150x + 800 < 2800.

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Related Questions

Solve for x.
3x + 9
x=
33
27
30

Answers

Answer:

27

Step-by-step explanation:

3x + 9 = 90

3x = 90 - 9

3x = 81

x =27

PLEASE HELP WITH THIS I NEED TO PASS

Answers

Answer:

x = 0.1875

Step-by-step explanation:

first, you group up all of the same numbers or letters. (2x +2x)

then you solve the problem:

2x ^2 = 2x - 3

4x^2 = -3

16x = 3

16       16

x = 0.1875

-2n - 5 = 17 what does n=

Answers

N equals either 6 or -6 I’m not sure

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2n-5=17  Equation/Question

Step 2

-2n-5=17  Simplify

-2n-5=17

Step 3

-2n-5=17  subtract 5

-2n=-22

Step 4

-2n=-22  Divide

answer

n=-11

Hope this helps

natalie was out at a restaurant for dinner when the bill came. her dinner came to $29. after tipping in a tip, before tax, she paid $34.22. find the percent tip

Answers

Answer:

%18 tip

Step-by-step explanation:

The dinner cost was $29 before tip

after tip it was $32.22

34.22-29= $5.22  she tipped

$29 * %x = $5.22

After solving this equation, the x is %18

Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24

Answers

Answer:

≈ 4.12 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)

d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]

   = [tex]\sqrt{(-4)^2+1^2}[/tex]

   = [tex]\sqrt{16+1}[/tex]

   = [tex]\sqrt{17}[/tex]

    ≈ 4.12 ( to the nearest hundredth )

Answer:

The distance between given points is: 4.12 units

Step-by-step explanation:

Given points are:

(3, 8) and (-1, 9)

Here

[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]

The distance is calculated using the following formula:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values, we get

[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]

Rounding off to nearest hundredth

d = 4.12 units

Hence,

The distance between given points is: 4.12 units

What value for x satisfies the equation below? 12(x-2)+3x=13(x+12)+10x

Answers

Answer: Exact Form:  x = − 45 /2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

In the equation 7y = 70, what is the next step in the equation solving sequence?


Isolate the variable through inverse operations.


Identify and move the coefficient or variable.


Solve for the variable.


Combine like terms.

Answers

Answer:

Isolate the variable through inverse operations

Step-by-step explanation:

The next step would be to divide 70 by 7 to get y by itself. Dividing by 7 is the inverse of multiplying by 7.

PLZ HELP ON A TEST NEEDED ASAP!!!!!


Research shows the United States uses 45,000 water bottles every 30 seconds. At this rate, how many water bottles are used in the United States in 45 seconds?

Answers

Answer:

67500 bottles

Step-by-step explanation:

The rate of use of water bottles is 45000bottles/30sec

the unit rate of use of water bottles is 1500bottles/1sec

multiply by 45 to get the number of bottles used in 45 seconds

1500/1sec *45sec=67500 bottles

The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140

Answers

The answer is $110

Explanation: .40*200=80 80+30=110

5) If f(x) = 3x + 4, for which value of x does f(x) = 22

Answers

Answer:

6

Step-by-step explanation:

22 = 3x+4

subtract 4 from both sides

18 = 3x

divide both sides by 3

6 = x

what mixed fraction is 1/3 of 100​

Answers

Answer:

Step-by-step explanation:

You think about it or go search it up my guy.


help pls due today thanks

Answers

Answer:

4

Step-by-step explanation:

11.2/2.75=4.07272(repeating number)

Answer:

11 1/5 divided by 2 3/4:

11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3

The answer, therefore, should be fairly close to 12 ÷ 3

12 ÷ 3 is 4

Answer is 4

Step-by-step explanation:

here ya go bub! (pls mark me brainlest)

(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1

Answers

Answer:

2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.

Step-by-step explanation:

c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).

The slopes of the asymptotes of the hyperbola are +3 and -3.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The standard equation for a hyperbola with a horizontal transverse axis is:

[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]

where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.

Comparing this to the given equation:

[tex]x^2/2^2 - y^2/6^2 = 1[/tex]

We can see that h = k = 0, a = 2, and b = 6.

The slopes of the asymptotes are given by:

±(b/a)

So, the slopes of the asymptotes are:

±(6/2) = ±3

Therefore,

The slopes of the asymptotes of the hyperbola are +3 and -3.

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Cuanto es 3entre 2.009

Answers

Answer:

~1.5

Step-by-step explanation:

3/2.009 = 1.493280238924838 = ~1.5

you see this guy...he needs help please help me

Answers

Answer:

the answer is 0.75c

Step-by-step explanation:

Hope this helps

Solve by multiplying digits of value and filling in zeros:

200 x 80 x 60

Answers

Answer:

down below:)

Step-by-step explanation:

200 times 80 times 60 is:

200 times 80 is 16000

16000 times 60 is 960000

Johnny gets $40 per week as an allowance. If he goes to the movies and spends $3 for popcorn and $5 on soda, what percent of his allowance did he spend? *

Answers

20% $40/$8 = 5. 8, 16, 24, 32, 40. 5 numbers, 20% each


There are 600 performers in a dance recital. The ratio of men to women is 4:6. How many men performers were in the
dance recital?

Answers

it would be 240 men

Step-by-step explanation:

i took the same test

Answer:

240

Step-by-step explanation:

I took the same test just trust me

which of the following is parallel to 8x+3y=1?
1. 3x-8y=1
2.3x+8y=5
3. 8x-3y=2
4.16x+6y=1

Answers

Answer:

4.16x+6y=1

Step-by-step explanation:

The given equation of the line is:

      8x + 3y  = 1

From this line, we need to re-arrange and write in the form of the equation of  a straight line.

        The equation of a straight line is given as:

         y  = mx + c

  8x + 3y  = 1

         3y = -8x + 1

          y  = [tex]\frac{-8x}{3}[/tex]  + [tex]\frac{1}{3}[/tex]  

 The slope of the line is [tex]\frac{-8}{3}[/tex]

  Any line from the given choices that will be parallel to the is must have the same slope as it is.

That line is 16x + 6y  = 1

                         6y  = -16x + 1

                            y = [tex]\frac{-16x}{6}[/tex]  + [tex]\frac{1}{6}[/tex]  

                           y = [tex]\frac{-8x}{3}[/tex]  +  [tex]\frac{1}{6}[/tex]  

                       

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

ST = 8 m

Step-by-step explanation:

Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.

Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.

Side PQ = 8 m

Therefore, side ST = PQ = 8 m

please brainlist who ever answers

Answers

Answer:

190 square inches

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

anyone can u please help me? lol

Answers

Answer:

-1/30

Step-by-step explanation:

just subtract then divide.

(this is simplest form)

        nvm

my bad, i forgot some steps you can delete this answer if wanted.

1. Anil runs around a square park of side 90 m. Rohan runs around a rectangular
park with length 50 m and breadth 40 m. Who runs more and by how much?
Pls Help ASAP Pls​

Answers

Answer:

Anil runs more by 180m.

Step-by-step explanation:

Given that:

Length of side of square park = 90 m

We will find the perimeter.

Perimeter = 4s

Perimeter = 4(90) = 360 m

Measurements of rectangular parks = length 50 m and width 40 m

Perimeter = 2(Length + Width)

Perimeter = 2(50+40) = 2(90) = 180 m

360 m > 180m

Difference = 360 - 180 = 180 m

Hence,

Anil runs more by 180m.

someone help pls :p

Answers

The scale factor from left to right appears to be 2:1!

Daniel has 120 dollars in the bank. He is earning 3.5% compound interest each month. How much money will he have in the bank in one year?

Answers

Answer:

$1813.28

Step-by-step explanation:

Answer:

$124.27

Step-by-step explanation:

A = Principal(1 + r/n)^nt

r = interest rate

n = # times compounded

t = # years

A = 120 (1 + .035/12)^12(1)

A = 120(1 + .0029)^12

A = 120(1.0029)^12

A = 120 x 1.0353

A = 124.27

Is of I ready please help me ?

Answers

Answer:  N has to be a negative. hope this helps

Step-by-step explanation:

I need help with this, no matter how hard I do, I don't get the answer. 3 [ 10 ( 16 - 6 + 3 ) ] I don't know what the answer is.​

Answers

the answer is 390

Step-by-step explanation:

don't ask how

An online furniture store sells chairs for $200 each and tables for $650 each. The
store must sell no less than $12000 worth of chairs and tables each day. Write an
inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answers

Answer: There’s alot of answers but one of the is 18 table with the cost of 11,700$ and 1 chair with 200$ so in totally it 11,900, less then 12,000

Step-by-step explanation:

HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!

Answers

Step-by-step explanation:

Area of Glass surface

= Area of Parallelogram - Area of Rectangle

= (20in * 16in) - (4in * 16in)

= 256in².

Hence it is 256 square inches.

P.S. Question photo got changed, ignore this.

Answer: The area of the figure is 32 square

plz mark brainly

help plz///////...............
\

Answers

Answer:

3/4

Step-by-step explanation:

any thing in the form of y=mx+x,

mx is the slope

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