MATHEMATICS MIDDLE SCHOOL

A truck that can carry no more than 6900 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 200 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 16 refrigerators and 7 pianos overload the truck? Explain. Let x be the number of refrigerators in the truck and y be the number of pianos in the truck. Write an inequality to show how many refrigerators and how many pianos the truck could carry.

Answers

Answer 1

Answer:

Answer:

Part a) The inequality is $200x+525y\leq 6,900$

The graph in the attached figure

Part b) 16 refrigerators and 7 pianos will not recharge the truck.

Step-by-step explanation:

Part a) Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry

Let

x -----> the number of refrigerators in the truck

y -----> the number of pianos in the truck

we know that

The number of refrigerators in the truck multiplied by 200 lb plus the number of pianos in the truck multiplied by 525 lb must be less than or equal to 6,900 lb

The inequality that represent this situation is

$200x+525y\leq 6,900$

using a graphing tool

The solution is the shaded area

Remember that the number of refrigerators or the number of pianos in the truck cannot be a negative number or a decimal number. The solution must be a whole numbers.

Part b) Will 16 refrigerators and 7 pianos overload the truck?

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

we have the ordered pair

(16,7)

Substitute x=16,y=7 in the inequality

$200(16)+525(7)\leq 6,900$

$3,200+3,675\leq 6,900$

$6,875\leq 6,900$ -----> is true

The ordered pair satisfy the inequality

The ordered pair is a solution of the inequality

therefore

16 refrigerators and 7 pianos will not recharge the truck.

Related Questions

What is the greatest common factor of 28 and 48??
53/7 as a mixed number
Which of the following best describes constructive forces? A. Forces that build up,or create,landmassesB. Forces that wear down or destroy land masses C. Forces that change the appearance of weathered rockD. Forces that are constant
Is 96 fl. Oz greater or less than 13 c
Solve this math problem

The digit in the tenths place is how many times as much as the value of the digit in the hundredths

Answers

10 since ten times ten is a hundred

Final answer:

The value of the digit in the tenth place in a decimal number is ten times as much as the value of the digit in the hundredth place.

Explanation:

Each place value in a decimal is ten times the value of the place to its right. So, in a decimal number, the value of the digit in the tenth place is ten times as much as the value of the digit in the hundredth place. For example, in the decimal 0.58, the number 5 is in the tenth place and the number 8 is in the hundredth place. The 5 in the tenth place represents 5/10 or 0.5, which is ten times greater than the 8 in the hundredth place, which represents 8/100 or 0.08.

Learn more about Place value here:

brainly.com/question/35447631

#SPJ3

If the length and width of a rectangle A are each k times the length and width of rectangle B, which statement is true?A. The area of rectangle A is k^3 times the area of rectangle b

B. the area of rectangle A is k times the area of rectangle B

C. The area of rectangle A is 2k times the area of rectangle B.

D. The area of rectangle A is k^2 times the area of rectangle B.

Answers

Answer:

Step-by-step explanation:

"If the length and width of a rectangle A are each k times the length and width of rectangle B" means if rectangle B has L and W then rectangle A is k*L and k*W. So the area would be A = k*L*k*W = k^2 *L*W. D is correct.

Answer:

Answer D

Step-by-step explanation:

The raduis of a circle is 12 cm. What is the area?

Answers

Answer:

Step-by-step explanation:

Area of circle = πr²

= 3.14 * 12 * 12

= 452.16 sq. cm

Are = radius squared times pie so 12*12 = 144 so 144 times pi 3.14*144 = 452.16 is your answer

Can someone help me with this ? asap !

Answers

Answer:

the 3rd one

Step-by-step explanation:

The answer to the question is C

6/15=3/x solve for x

Answers

Answer: 7.5

Step-by-step explanation:

• Cross multiply : start by multiplying 15 times 3

• You get 45, then you divide 45 by 6

• Therefore, this gives you 7.5

• Check your answer by plugging in 7.5 to x

• Both fractions should equal 0.4, meaning they are equal to each other

Answer:15/2

Step-by-step explanation:

In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.

Answers

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = $\sqrt{(KP)^(2)+(KQ)^(2)-2(KP)(KQ)cos(K)}$

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = $\sqrt{(12)^(2)+(12)^(2)-2(12)(12)cos(110)}$

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

Other Questions

Dustin and his best friend Jeremy found some money buried in a field. They split the money evenly,each getting more than $24.28. How much money did they find?

Which is equivalent to (−2m + 5n)², and what type of special product is it?A. 4m² + 25n²; a perfect square trinomial B. 4m² + 25n²; the difference of squares C. 4m² − 20mn + 25n²; a perfect square trinomial D. 4m² − 20mn + 25n²; the difference of squares

Which triangle with side lengths given below is a right traingle

2 tons = ____ lb How many lbs is 2 tons?