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

how to evaluate (-1/2)×(-4)​

Answers

The answer is 2

first, we know that the answer will end up to be positive because the two negatives multiply together and cancel each other out to be a positive. Next, we know that 4 divided by 2 is 2, so the answer is 2.

Answer:

Answer:

X=10

Step-by-step explanation:

-1 + x2 = 4

Add 1 to each side

-1 +1+x/2 = 4+1

X/2 = 5

Multiply each side by 2

X/2 *2 = 5*2

x= 10

Pls help me.
I will mark as brainliest answer​

Answers

Answer:

B

Step-by-step explanation:

volume= l ×b×h or l3

5×5×5 =125

What is an equation of the line that passes through the points (-6, -5) and (-3, 0)?

Answers

Answer:

Y=5

Step-by-step explanation:

Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Drawing Tools
Click on a tool to begin drawing.

Answers

x intercept=-5y intercept=1

The inverse function will have x intercept additive inverse of this.

Inverse of the line's intercepts

x-intercept=-(-5)=5y intercept=1

Now

equation of line in intercept form

[tex]\\ \sf\longmapsto \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{5}+\dfrac{y}{1}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{x+5y}{5}=1[/tex]

[tex]\\ \sf\longmapsto x+5y=5[/tex]

Graph attached

The Graph of the inverse of the function is given below.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

From the given graph,

x intercept=-5

y intercept=1

The inverse function will have x intercept additive inverse of this.

The inverse of the line's intercepts

x-intercept = 1

y-intercept = -5

Now

equation of a line in intercept form

x/a + y/b = 1

x/1 +y/-5 = 1

5x - y = 5

Learn more about function here:

https://brainly.com/question/29633660

#SPJ7

Heyy help me do this question please and thanks

Answers

Answer:

[tex]2.757*10x^{-4}[/tex]

Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?

7

40

47

70

Answers

Answer:

Andrea has 70

Step-by-step explanation:

7 is the tens place that would make it 70

Answer:

47

Step-by-step explanation:

Given:

473 scented stickers

To Find:

How many tens of stickers does Andrea have?

Solution:

To find the answer divided 473 by 10 = 47.3

That mean Andrea have 47 tens of stickers.

Therefore the answer is 47

if f(x)=1/x+2 what is f(3+h)?

Answers

If x is the only thing in the denominator, then,

[tex]f(x) = \frac{1}{x}+2\\\\f(3+h) = \frac{1}{3+h}+2\\\\f(3+h) = \frac{1}{3+h}+2\left(\frac{3+h}{3+h}\right)\\\\f(3+h) = \frac{1+2(3+h)}{3+h}\\\\f(3+h) = \frac{1+6+2h}{3+h}\\\\f(3+h) = \frac{7+2h}{3+h}\\\\[/tex]

We replace every copy of x with 3+h, as shown in the second step. Afterwards, we can optionally simplify to form one big fraction.

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

Or if the "x+2" is in the denominator, then we have these steps:

[tex]f(x) = \frac{1}{x+2}\\\\f(3+h) = \frac{1}{3+h+2}\\\\f(3+h) = \frac{1}{h+5}\\\\[/tex]

Help me pls I don't get it​

Answers

Answer:

maybe A

Step-by-step explanation:

Help pls

Which statement correctly describes the picture?

Answers

Answer:

D

Step-by-step explanation:  The line GH has an arrow, so is designated as GH with an arrow over it.  The line EF has no direction (no arrow), so it is represented simply as EF with a line, with no arrow.  The point P is, well, just point P.

find all of the remaining angles

Answers

Step-by-step explanation:

angle 1 = 73°

angle 2 = 107°

angle 3 = 73°

angle 4 = 107°

angle 5 = 73°.

hope this helps you.

multiply 4 (-52/3) in simplest form

Answers

Answer:

Should be -69 1/3

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

With 10 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 1010 = 10000000000

Equation 2:

10000000000X=693333333333.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Subtract equation (1) from equation (2)

10000000000XX9999999999X===693333333333.3333333333...69.3333333333...693333333264

We get

9999999999X=693333333264

Solve for X

X=6933333332649999999999

Find the Greatest Common Factor (GCF) of 693333333264 and 9999999999, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 3333333333,

693333333264÷33333333339999999999÷3333333333=2083

Simplify the improper fraction,

=6913

In conclusion,

−69.3333333333¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯=−6913

What is the least common multiple (lcm)of 2,3, and 6

Answers

Answer:  6

Explanation:

List list the multiples of each value

multiples of 2 = {2, 4, 6, 8, 10, ...}multiples of 3 = {3, 6, 9, 12, 15, ...}multiples of 6 = {6, 12, 18, 24, ...}

In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6

Side note: The LCM is useful to help add and subtract fractions.

7/8 rounded to the nearest thousand​

Answers

7/8= 0.875
no rounding necessary

Find the vertices of the dilated figure whose original coordinates are A (0, 0), B (0, 9), C (8, 8) and D (10, 0) which is dilated by a scale factor of 6.
A' (0, 0), B' (0, 54), C' (48, 48), and D' (60, 0)
A' (0, 0), B' (0, -54), C' (-48, 48), and D' (60, 0)
A' (0, 0), B' (0, 54), C' (48, -48), and D' (60, 0)
A' (0, 0), B' (0, 54), C' (48, 48), and D' (-60, 0)

Answers

Answer:

A

Step-by-step explanation:

when dilating by a scale factor of 6, you are starting at the origin and just making it larger by a factor of 6, so you multiply the coordinates by 6 and get A

A I hope I help the answer is A

QuestionSolve the system of linear equations by substitution.8x−13y=012x+3=y

Answers

Y=6/37 explaination i seatched it up LOL

Answer:Y=6/37

Step-by-step explanation:

Is f(x)=x^3-x symmetric about the origin

Answers

Answer:

-24 po

Step-by-step explanation:

thanks for the points

If a jacket cost $74.95 and you had a coupon for 30% off, how much would the jacket cost you? (round to the nearest hundredth)

Answer value

Answers

Answer:

30% of 74.95 = .3 * 74.95 = 22.48

Net Cost = 74.95 - 22 48 = 52.47

10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)

Answers

Answer:

I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)

I

3/4+4y÷3;y=1 1/22 please help

Answers

Answer:3

4

+

4

(

y

3

)

.

3

4

+

4

(

y

3

)

=

4

y

3

+

3

4

y

=

11

22

=

=

1

2

Step-by-step explanation: :)

Please helppppppppppppp

Answers

equilateral triangle

write 28 + 24 as a product of two factors using the greatest common factor and the distributive property

Answers

Answer:

4 * 13

Step-by-step explanation:

Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.

The chess team wants to have practice two different days next week from money through friday. How many schedules can be made?

Answers

Answer:

2 schedule

I I think you can go for Tuesday and Friday because Tuesday totally good and Friday is stress-free because the day after is Saturday

I also try to gather the chess team in figure out a way suitable for your practice, maybe some are going to be busy

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.

The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?

180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets

Answers

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. Siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos. De 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados,
mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados. ¿Estos datos confirman la posición de Danny? Sea =., y pruebe la hipótesis

Answers

Existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.

Dado que Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos, y de 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados, mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados, para determinar si estos datos confirman la posición de Danny se debe realizar el siguiente cálculo:

202/312 = 0.6474102/205 = 0.4975

Por lo tanto, existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.

Aprende más en https://brainly.com/question/19296932

3n - 31 = 8 + 7 ( 1 + 7n)

Answers

[tex]n = - 1[/tex]

hope it helps

plss help ill give brainlest

Answers

The length of the truck could explain how many wheels trucks have

For the sequence −9, −3, 3, 9, 15, ... write the recursive formula. a(1) = __, a(n) = a(n-1) + d *

Answers

Answer:

the answer to the question is online if you

Please find x and y... I will mark you brainliest

Answers

Answer:

Step-by-step explanation:

Dodoodo

Step-by-step explanation:

x=30 and y=30. I have solve it. See the picture that I have attached.

What is 1/16 divided by 3

Answers

Hello angeltomlin!

[tex]\mathfrak{\frac { \frac { 1 } { 16 } } { 3 }}\\ = \mathfrak{\frac{1}{16\times 3}} \\ = \boxed{\mathfrak{\frac{1}{48} \approx 0.0208}}[/tex]

Steps :

Our question is 1/16/3.To do this, at first, we need to bring 16 to the denominator along with 3.1/16 × 3 = 1/48So, our answer is 1/48 which is aproximately equal to 0.0208.

Refer to the attached picture if the steps are not clear.

____________

Lucazz

a car travels at a constant speed for 2 hours. what is that speed miles per hour

Answers

Answer:

Distance/2 hours

Step-by-step explanation:

Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.

Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.

DUBS

Please consider a brainliest!

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