The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a
piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the
truck.
Which inequality represents all possible values of x, the number of these boxes that can be
loaded into the moving truck?

Answers

Answer 1

Answer:

1600=50x+100(thats the equation) ACTUAL ANSWER: X=30

Step-by-step explanation:

Answer 2

The inequality represents all possible values of x, which will be 1600=50x+100.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

The greatest weight a moving truck can carry = is 1,600 pounds

Weight of the piano = 400 pounds

Weight of box = 50 pounds

The inequality represents all possible values of x will be;

1600 = 50x+100

Hence the inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck will be 1600=50x+100.

To learn more about linear inequality refer to the link;

https://brainly.com/question/11897796


Related Questions

Need help with this problem

Answers

7x^5+x^3-3
Hey so I’m not quite sure what your terms are but the question basically wants you to rank the terms based on what power they r to. Standard form in this context = the highest powers to lowest
(Also remember that numbers with no exponents have a invisible 1 hence why -3 is last)

what is the answer for a² – b² = (a-b)(a+b)

Answers

Answer:

a²- b² = a² - b² (always true)

Step-by-step explanation:

what is the answer for a² – b² = (a-b)(a+b)

a² – b² = (a-b)(a+b)

a²- b² = a² - b²

this equation is always true

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

check

a=1 and b=2

1²-2²=(1 - 2) * (1 + 2)

1 - 4 = 1 + (-4)

-3 = -3

Billy dove off a cliff into the water. The cliff was 15 ft. above sea level. After diving into the water, he swam 5 ft. below the opposite elevation of the cliff and found a golden ring. At what elevation did he find the golden ring?

Answers

Answer:

Billy found the ring at -20 ft

Step-by-step explanation:

He started at 15 ft

He dove off the cliff, then swam 5 feet under the opposite of the cliff's elevation

The opposite of the cliff's elevation would be -15, and if he swam five feet under that, it would be -15 + -5 = -20

So, Billy found the ring at -20 ft

write the general form of the equation of a line that is parallel to the given line and passes through the given point. y+2= -(x+1); (-2,6)

Answers

Answer:

y = -x + 4

Step-by-step explanation:

y + 2 = -x - 1

y = - x - 1 - 2

y = -x - 3

Point: (-2,6)

Slope -1

y-intercept: 6 - (-1)(-2)

= 6- 2 = 4

Please help with this question

Answers

Answer:

z= -1.178

Step-by-step explanation:

[tex]\frac{124-126}{\frac{7}{\sqrt{17} } }[/tex]

use technology to calculate.

if its correct please mark me brainliest, hope this helps!!!

-2 ¼ + (5 ¾) PLEASE HELP

Answers

-2 ¼ + (5 ¾)= 5 ¾ -2 ¼

5-2= 3

3/4-1/4= 1/2

The solution is

e solution is3 and 1/2

Multiply.

[−427⋅(−18)]⋅(−389)⋅(−1)

What is the product?

Enter your answer in the box. PLEASE HELP URGENT

Answers

Answer:

2989854

Step-by-step explanation:

Answer:

When you multiply two negatives, you get a positive solution.

7686x389

2,989,854

:)

Write the STANDARD FORM of the equation of each line given the Slope and y-intercept.

1) Slope = 8, y-intercept = 3

2) Slope= -2/3, y-intercept = 1

Answers

Answer:  See below

Step-by-step explanation:

The basic form of an equation of a straight line in slope intercept form is y=mx+b, where m is the slope and b the y intercept (the value of y when x=0)

1) Slope = 8, y-intercept = 3

y=mx+b:  y = bx + 3

2) Slope= -2/3, y-intercept = 1

y=mx+b:  y = -(2/3)x + 1

4. Determine the measure of angle 1 in the figure.

Answers

36 degrees …
180 for a triangle
180=90 (right angle)+ 54 (given)+ x
X=36

Abook sold 42,500 copies in its first month of release. Suppose this represents 7.8% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number. ​

Answers

Answer is 433 Jensen herbs hebdb here

PLZZ HELP OTA DUE TODAY AND REALLY NEED HELP ILL GIVE 25 POINTS


Rearrange them in the correct order

Answers

Answer:

See below for answer.

Step-by-step explanation:

∠BCD is a right angle                           Given

∠ACB ≅∠CAD                                      Given

A is in the interior of ∠BCD                 Given

m ∠BCD =90°                                       Definition of right angle

m ∠ACD + m ∠ACD = m ∠BCD           Angle Addition Postulate

m ∠ACD + m ∠ACD = 90°                    Substitution

∠ACD is complementary to ∠ACD     Definition of complementary                                                                      

∠CAD is complementary to ∠ACD     If two angles are congruent, then their

                                                             complements are congruent.

400x45.2 please help

Answers

Answer:

400x45.2=18080

Step-by-step explanation:

Your answer is 18,080

2 trig ratios missing sides and angels

Answers

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos66° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{13}{x}[/tex] ( multiply both sides by x )

x × cos66° = 13 ( divide both sides by cos66° )

x = [tex]\frac{13}{cos66}[/tex] ≈ 32.0 ( to the nearest tenth )

2 + 3 + 8 + 1 + 9 + 10 - 11 +10 = ?

Answers

The answer is 32 ………………..

Answer:

22

Step-by-step explanation:

2 + 3 + 8 + 1 + 9 + 10 - 11 +10 = ? can be evaluated from left to right, as follows:

   5    + 8 + 1 + 9 + 10 - 11 +10 = ?

          13 + 10 - 11 + 10, or

               23   - 11 + 10, or

                     12 + 10, or

                            22

What is an equation of the line that passes through the point (2,-2) and is parallel to the line 5x-2y=45

Answers

Hello stranger how are you
Simplify 5x-2y=45
2y=5x-45
y=2.5x-22.5
Remove y intercept and replace x and y for 2 and -2
-2=2.5*2+b
b=-7
Answer: y=2.5x-7

A 14.5-gallon gasoline tank is $\frac{3}{4}$
full. How many gallons will it take to fill the tank? Write your answer as a mixed number.

Answers

The answer is in the image. We need 3.625 gallons to fill the tank.

The number of gallons it take to fill the tank is 3.625 gallon.

Given that, a 14.5-gallon gasoline tank is 3/4 full.

Let the number of gallons it take to fill the tank is x.

Now, the number of gallons of gasoline tank = 14.5×3/4

= 14.5×0.75

= 10.875

Here, 10.875+x=14.5

x=14.5-10.875

x=3.625

Therefore, the number of gallons it take to fill the tank is 3.625 gallon.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ6

i will give brainliest for first answers!!!!

Answers

Answer:

#8) y=2

#7) x=3

Hope helped

Samantha is mixing yellow and red paint to make orange paint. The table below shows the ratio of drops of red paint to yellow paint needed to make orange paint. Complete the table to determine how many drops of red paint are needed when 35 drops of yellow paint are used.

Answers

She used 14 drops of yellow paint

PLZ PLZ PZLZ HELP BRAINYLEST FOR THE BEST

Answers

Answer:

w = 63

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 interior angles.

w + 28 is an exterior angle of the triangle , then

w - 2 + w - 33 = w + 28 , that is

2w - 35 = w + 28 ( subtract w from both sides )

w - 35 = 28 ( add 35 to both sides )

w = 63

Evaluate the limit of (tanx)^2/(1-cosx) as x tends to 0
Please show your work. Thanks!

Answers

Rewrite the limand as

[tex]\dfrac{\tan^2(x)}{1 - \cos(x)} = \dfrac{\sin^2(x)}{\cos^2(x)(1 - \cos(x))}[/tex]

Multiply the numerator and denominator by 1 + cos(x). Then

[tex]\dfrac{\sin^2(x)}{\cos^2(x)(1 - \cos(x))} \cdot \dfrac{1+\cos(x)}{1+\cos(x)} = \dfrac{\sin^2(x)(1 + \cos(x))}{\cos^2(x)(1 - \cos^2(x))} \\\\= \dfrac{\sin^2(x)(1 + \cos(x))}{\cos^2(x)\sin^2(x)} \\\\ = \dfrac{1 + \cos(x)}{\cos^2(x)}[/tex]

As x goes to 0, the limand goes to (1 + 1)/1² = 2.

We are given with a limit :-

[tex]{\quad \blacktriangleright \blacktriangleright \blacktriangleright {\displaystyle \sf \lim_{x\to 0}\dfrac{\tan^{2}(x)}{1-\cos (x)}}}[/tex]

We know that ;

[tex]{\boxed{\bf \dfrac{\sin (\theta)}{\cos (\theta)}=\tan (\theta)}}[/tex]

Using this , the above limit can be written as ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{\sin^{2}(x)}{\cos^{2}(x)\{1-\cos (x)\}}}[/tex]

Multiplying and dividing both numerator and denominator by [tex]{\sf 1+\cos (x)}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{\sin^{2}(x)\{1+\cos (x)\}}{\cos^{2}(x)\{1-\cos (x)\}\{1+\cos (x)\}}}[/tex]

We knows a identity that is

[tex]{\boxed{\bf a^{2}-b^{2}=(a+b)(a-b)}}[/tex]

Using this we have ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{\sin^{2}(x)\{1+\cos (x)\}}{\cos^{2}(x)\{1-\cos^{2}(x)\}}}[/tex]

We knows another Trigonometric identity i.e ;

[tex]{\boxed{\bf 1-\cos^{2}(\theta)=\sin^{2}(\theta)}}[/tex]

Now , using this we have ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{\cancel{\sin^{2}(x)}\{1+\cos (x)\}}{\cos^{2}(x)\cancel{\sin^{2}(x)}}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 0}\dfrac{1+\cos (x)}{\cos^{2}(x)}}[/tex]

Putting the limit we have ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1+\cos (0)}{\cos^{2}(0)}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1+1}{1^{2}} \quad \qquad \{\because \cos (0)=1\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{2}{1}}[/tex]

[tex]{:\implies \quad {\displaystyle \therefore \quad \bf \underline{\underline{\lim_{x\to 0}\dfrac{\tan^{2}(x)}{1-\cos (x)}=2}}}}[/tex]

BRAINLIEST 3/5(x−710)=−314

Answers

Answer: x = 560/3

Step-by-step explanation:

First! We are going to be using the PEMDAS method! If you have any questions about this method please go ahead and ask below! The first step in our equation is the P - parenthesis, so we are going to multiply [tex]\frac{3}{5}[/tex]  to everything inside of the parenthesis (x and -710)!

[tex]\frac{3}{5} (x -710) = -314[/tex]

[tex]\frac{3}{5}x+(\frac{3}{5}*-710)=-314[/tex]

[tex]\frac{3}{5}x -426 = -314[/tex]

Now, we are going to add 426 to both sides of the equation, to single out the "x" variable!

[tex]\frac{3}{5}x= 112[/tex]

Finally, let's multiply both sides by [tex]\frac{5}{3}[/tex] to cancel out the [tex]\frac{3}{5}[/tex] fractions, to get the "x" variable alone.

[tex]x=\frac{560}{3}[/tex]

↑This is our answer!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

determine the zeros of the function f(x) = 2(x – 6)^2 – 4

Answers

Answer:

x = 6 ± [tex]\sqrt{2}[/tex]

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

2(x - 6)² - 4 = 0 ( add 4 to both sides )

2(x - 6)² = 4 ( divide both sides by 2 )

(x - 6)² = 2 ( take square root of both sides )

x - 6 = ± [tex]\sqrt{2}[/tex] ( add 6 to both sides )

x = 6 ± [tex]\sqrt{2}[/tex]

The zeros are x = 6 - [tex]\sqrt{2}[/tex] , x = 6 + [tex]\sqrt{2}[/tex]

Factor the following expression
3b^2+11b+10

Answers

Answer:

( 3b + 5 )( b + 2 )

Step-by-step explanation:

3b^2 + 11b + 10

( 3b + 5 )( b + 2 )

Hopefully this helps!

Brainliest please?

1. The length of a ribbon is 5/6 meter. Shayla needs pieces measuring 1/5 meter for an art project. What is the Greatest number of pieces measuring 1/5 meter that can be cut from the ribbon?
2. How much ribbon will be left after Shayla cuts the ribbon?
3. 5/6 divided by 1/5 as a mixed number is what?
4.So a maximum of ____Pieces will measure 1/5 meter
5. Shayla will have ____Meter left over​

Answers

Answers:

Part 1: 5

Part 2: 4/6 m

Part 3: [tex]5 \frac{1}{6}[/tex]

Part 4: 5

Part 5: 4/6 m

Step By Step Explanation:

math

Mai received a $70 gift card for a coffee store. she used it in buying some coffee that cost $8.69 per pound. after buying the coffee, she had $35.24 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

4

Step-by-step explanation:

[tex] \frac{70 - 35.24}{8.69} [/tex]

[tex] \frac{34.76}{8.69} [/tex]

[tex] = 4[/tex]

Brainliest please

multiply (3y^3+5y^2-4y) (2y^2-6y-7) help me solve this with the steps please

Answers

Answer:

as following

Step-by-step explanation:

[tex](3y^3+5y^2-4y) (2y^2-6y-7) \\=y(3y^2+5y-4)(2y^2-6y-7)\\=y(6y^4-16y^3-21y^2+10y^3-30y^2-35y-8y^2+24y+28)\\=y(6y^4-6y^3-59y^2-11y+28)\\=6y^5-6y^4-59y^3-11y^2+28y[/tex]

The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen gathered data from 50 students in her graduating class and found the average score to be 523. She thinks that her class’s math SAT score is different from the average. Which of the following are the correct null hypothesis and alternate hypothesis? H0: Mu = 514; Ha: Mu greater-than 514 H0: Mu not-equals 514; Ha: Mu = 523 H0: Mu = 514; Ha: Mu not-equals 514 H0: Mu = 514; Ha: Mu = 523.

Answers

From the hypothesis test, we have that:

The null hypothesis is [tex]H_0: \mu = 514[/tex].The alternative hypothesis is: [tex]H_1: \mu \neq 514[/tex]

At the null hypothesis, it is tested if her average is the same as the national of 514, hence:

[tex]H_0: \mu = 514[/tex]

At the alternative hypothesis, it is tested if it is different, hence:

[tex]H_1: \mu \neq 514[/tex]

A similar problem is given at https://brainly.com/question/24330815

Answer:

c

just took on edge

\

Step-by-step explanation:

If you needed to reflect (-4,-5) over the y-axis what would the
coordinates be?

Answers

Answer: The coordinates would be (4,-5)

It would be (4, -5)

Hope this helps!

Shana bought 6.2 pounds of pecans and paid $56.00. About how much per pound did the pecans cost?
$5.00
$6.00
$8.00
$10.00

Answers

Answer:

its 8.00

Step-by-step explanation:

Answer:

8.00

Step-by-step explanation:

a jet travels 430 miles in 2 hours. At this rate, how far could the jet fly in 12 hours? what is the rate speed of the jet

Answers

2580 miles in 12 hours and 215 miles per hour
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