A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the​ truck? Explain.

Answers

Answer 1

Answer:

  13 refrigerators and 7 pianos will NOT overload the truck

Step-by-step explanation:

For x refrigerators, their total weight is 300x.

For y pianos, their total weight is 525y.

The total weight of both of these together must not exceed 7600, so the inequality is ...

  300x +525y ≤ 7600

__

The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.

__

Check

  300(13) +525(7) = 7575 . . . this is less than 7600

A Truck That Can Carry No More Than 7600 Lb Is Being Used To Transport Refrigerators And Upright Pianos.
Answer 2

Answer:

Step-by-step explanation:

Represent the number of refrigerators by r and that of pianos by p.

Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.

Find the total weight of the load consisting of 13 refrigerators and 7 pianos.   The inequality given above becomes:

w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb

w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:

w(13, 7) = 3900 lb + 3675 lb = 7575 lb

Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.


Related Questions

Last week, Pauline worked 35 hours and made $280. The boss at Pauline’s company makes $600 a week. How many hours would Pauline need to work to make $600?

Answers

Pauline needs to work for 75 hours to make $600

Given that Pauline worked 35 hours and made $280, this can be written as:

35 hours = $280

If Pauline’s company makes $600 a week, this can be expressed as:

x = $600

35/x = 280/600

35/x = 28/60

28x = 35 * 60

28x = 2100

x = 2100/28

x = 75

This means that Pauline needs to work for 75 hours to make $600

Learn more here: https://brainly.com/question/3796978

Answer:

Step-by-step explanation:

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much does she use on 1 pizza. How much does she use on 15 pizzas.

Answers

Answer:

32.5

Step-by-step explanation:

10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up

4 can not fit into 15 so we have to stop at 12 pizzas.

Now we need to add 3 pizzas

:Note: that one pizza is 2.5 of an ounce  out of 10 ounces

so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over

2.5 + 30 = 32.5

find an equivalent ratio 3:10

Answers

Answer:

The answer is 6:20, 12:40 and 18:60

Answer

15:50

Step-by-step explanation:

3 x 5 = 3 :

10 x 5       10

i hoped this helped lol

The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.

Answers

Answer:

30.55 <_ a < 30.55

Step-by-step explanation:

a = 1/2 × b × h

a = 1/2 × 13 × 4.7

a = 30.55 cm^2

30.55 <_ a < 30.55

What is the solution set of the equation 6x^2 - 18x - 18 =6?

Answers

Answer:

The solution set is {4, -1}

Step-by-step explanation:

6x²- 18x -18 = 6

6x²- 18x -18 - 6 = 0

6x²- 18x -24 = 0

6(x² - 3x - 4) = 0

6(x - 4)(x + 1) = 0

6 = 0 not true

x - 4 = 0 ;   x + 1 = 0

x = 4           x = - 1

The solution set is {4, -1}

need help with homework please help asp

Answers

Answer:

The answer for this particular question is (5,-8)

Geometry- what is O? show work/explain please.

Answers

Answer:

Step-by-step explanation:

Solve the equation for x.

x-17=-5​

Answers

Answer: 12

Explanation:

add 17 to both sides

x = -5 + 17 = 12

Answer:

x = 12

Step-by-step explanation:

x - 17 = -5

x = -5 + 17

x = 12

physics book is moved once around the perimeter of a table of dimensions 2.0 m by 0.5 m.

(a) If the book ends up at its initial position, what is its displacement?


(b) What is the distance traveled?

Answers

Step-by-step explanation:

(a) 0. no displacement.

(b) rectangle perimeter :

2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m

I need the answer to this. Thank You so much!!!

Answers

Answer:

o=6

1=18

2=54

3=162

Step-by-step explanation:

[tex]f(x) = 6(3)^{x} [/tex]

[tex]f(x)=6(3)^{0}=6 \\ f(x)=6(3)^{1}= 18 \\ f(x)=6(3)^{2}=54 \\ f(x)= 6(3)^{3}=162[/tex]

Hi Looking for A helping hand


The first term in an arithmetic sequences is -9. The fifth term in the sequences is 15. The tenth term in the sequences is 45. Write the explicit form that would be used to find the nth term in the sequence. Show the steps you took to write the simplified explicit form.

Answers

Answer:

an = a1 + 6(n-1)

Step-by-step explanation:

a1 = -9, a5= 15, a10 = 45

Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.

a1= -9

a2= -9+6 = -3

a3= -3+6 = 3

a4= 3+6 = 9

a5= 9+6 = 15

We add 6 each time.

The explicit formula is an = a1 + 6(n-1) because

for example a5 = a1 the first term + 6* (5-1) times

                    a5 = -9 + 6* 4 = -9 + 24 = 15✅

                    a10 = a1 + 6* (10-1)

                    a10 = -9 + 6*9 = 45✅

Is the point (3,2) a solution of the equation?

Answers

Step-by-step explanation:

no cause 3/2 can't be changed

helpppppp plzzzzzz is fue today

Answers

It’s 3 since it is going up on the y axis

Answer:

a) 3

Step-by-step explanation:

that's the correct answer

Which of the following graph shows one,non or infinite solution

Answers

Answer:

No graphs????????????

Step-by-step explanation:

A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?

Answers

Answer:

3x-8

Step-by-step explanation:

math

Answer:

y=3x-8

Step-by-step explanation:

The slope of this is the rise over the run. Using the points, we can do (10-4)/(6-4) to get the slope. After solving this, we get 3 as the slope! Slope intercept form is in y=mx+b where m is the slope and b is the y-intercept.

So, y=3x+b

We can insert any of those coordinates into this equation and solve for b to get the y-intercept. If we insert (4,4), then we get 4=3(4)+b

: 4=12+b

:-8=b

Now that we have -8 as the y-intercept, we can insert that as b to get y=3x-8 as the equation in slope intercept form.

Pg 118 #11 - 13, 15, 16

Answers

We can't get the answer if there's no problem?

What is the slope of a line that passes through the points (4, - 3) and (- 2, 9)

Answers

Answer:

-2

Step-by-step explanation:

slope = y2 - y1  / x2 - x1

= 9 - (-3)  /   -2 -4

= 12 / -6

= -2

Given that (x-1) is a factor of p(x)=x^3+2x^2-x-2,factorize p(x) completely ​

Answers

Answer:

Step-by-step explanation:

is this true or false |-2.9|> 2.6​

Answers

Hello! :)

I will start by explaining what the l l notation means.

It means "absolute value" or a number's distance from zero.

Absolute value is always positive. Remember this:

lal=a

l-al=a

Now, using this, let's solve our math problem.

l-2.9l>2.6

2.9>2.6

Is this statement true? Is 2.9 greater than 2.6? Yes, it is. Therefore, the statement is true.

Hope it helps.

Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Answer:

True

Step-by-step explanation:

The absolute value of -2.9 is 2.9.

So 2.9>2.6

Remember, the absolute value of a number is always nonnegative (positive or zero). If a number is negative, negating that number will make it positive.

Solving Systems of Three equations

(please help i will make you brainliest!!!)

Answers

Answer:

2) x = -4; y = 0; z = -2

4) x = 4; y = 2; z = 0

Step-by-step explanation:

2)

-4x - 5y - z = 18

-2x - 5y - 2z = 12

-2x + 5y + 2z = 4

Add the 2nd and 3rd equations to eliminate y and z.

-4x = 16

x = -4

Substitute x = -4 in first and second equations.

(-4)(-4) - 5y - z = 18

(-2)(-4) - 5y - 2z = 12

-5y - z = 2

-5y - 2z = 4

Multiply first equation by -1 and add to second equation.

       5y + z = -2

(+)   -5y - 2z = 4

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

               -z = 2

z = -2

Substitute x = -4 and z = -2 in first original equation and solve for y.

-4(-4) - 5y - (-2) = 18

16 - 5y + 2 = 18

-5y = 0

y = 0

Answer: x = -4; y = 0; z = -2

4)

4x + 4y + z = 24

2x - 4y + z = 0

5x - 4y - 5z = 12

Add equations 1 and 3 to eliminate y.

9x - 4z = 36    Eq. 1

Add equations 1 and 2 to eliminate y.

6x + 2z = 24    Eq. 2

Multiply Eq. 2 by 2 and add to Eq. 1.

       12x + 4z = 48

(+)      9x - 4z = 36

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

        21x       = 84

x = 4

Substitute x = 4 into Eq. 1 to solve for z.

9x - 4z = 36

9(4) - 4z = 36

-4z = 0

z = 0

Substitute x = 4 and z = 0 into the first original equation to solve for y.

4x + 4y + z = 24

4(4) + 4y + 0 = 24

4y = 8

y = 2

Answer: x = 4; y = 2; z = 0

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21. 8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21. 8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13. 8 cm2 17. 3 cm2 32. 7 cm2 69. 0 cm2.

Answers

Answer:

Step-by-step explanation:

Brainly.com

Question

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21.8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13.8 cm2 17.3 cm2 32.7 cm2 69.0 cm2

Answer · 10 votes

Answer:32.7cmStep-by-step explanation:just took the

A college professor wants to survey a sample of students taking his course. Here are some details about his course:He teaches555 sections of the course.There are250250250 total students across those sections.There are505050 graduate students and200200200 undergraduate students taking the course.Each section has about505050 students (some graduate and some undergraduate).The professor wants to take a sample of303030 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account.

Answers

Answer:

d

took the test

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

khan academy

Find the sum of the first 15 terms of the AP:11,5,-1,-7

Answers

Here is ur answer

- BRAINLIEST ANSWERER

When surrounded by smaller circles, a center circle will appear ________ than if surrounded by larger circles.

Answers

Larger
Extra characters for posting answer

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

Learn more about perception in https://brainly.com/question/7337201

Find the value of x that makes m//n (2x+20)

Answers

Answer:

20

Step-by-step explanation:

uvuctxtxyvuvigh ufydigifyds6dgbjj

Can some one help me

Answers

Answer:

16.95

Step-by-step explanation:

because when you add 14.95 and 2 together you get 16.95

Answer:

Step-by-step explanation:

Area of  Big circle = πr² = 3.14 * 6.5*6.5  = 132.67 cm²

Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²

Area of shaded region = area of big circle - area of small circle

         = 132.67 - 16.61  = 116.06 cm²

Can I get steps to solve this?

Answers

Answer:

8 and 1/2 pints

Step-by-step explanation:

4.25 cups/ 1 × 2 pints/ 1 cups

= 4.25 × 2 pints

= 8.5 pints

8 and 1/2 pints

Which coordinate pair is outside the circle and inside the rectangle as shown below? 10 9 8 o in N 6 5 2 0 1 2 3 4 5 6 7 8 9 10 O (5,3) O (6,3) O (6,6) O (5,5)​

Answers

It’s the 1st one 5,5

If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors

Answers

Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques

Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

What is confidence interval?

Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.

We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.

Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

To learn more about Confidence intervals and hypothesis tests click :

https://brainly.com/question/19755291

#SPJ2


Can someone figure this out for me plsss

Answers

Answer:

Step 2 you should subtract 5 (aka D)

Step-by-step explanation:

Simple, its 2+ step equations.

Step 1 Look at the problem

Step 2 Subtract the second normal number by the rest (5- -12 and 19)

Step 3 answer

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