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snow_lady [41]
3 years ago
5

A truck that can carry no more than 6600 lbs is being used to transport refrigerators and upright pianos. each refrigerator weig

hs 300 lbs and each piano weighs 425 lbs. what is an equation that shows how many refrigerators and how many pianos the truck could carry. will 10 refrigerators and 8 pianos overload the truck?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

Answer:

(a). 300r + 425p ≤ 6,600

(b). No, it’s not considered overweight

Step-by-step explanation:

In this question, we are to write an equation that shows the number of refrigerators and pianos the truck could carry.

Let the number of refrigerators be r and the number of pianos be p

By using their individual weights, the equation is as follows;

300r + 425p ≤ 6,600

To the second question, we want to consider if 10 refrigerators and 8 pianos are overload.

To get this, we simply multiply the number of each by their individual weights;

That would be;

300(10) + 425(8) = 3000 + 3,400 = 6,400 lbs

This is not considered overweight as it is less than 6,600 lbs

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Mrs. Moore is making packages of art supplies for an art project. Each package contains sheets of white paper and blue paper. Th
Romashka [77]

Answer:

The maximum number of packages that can be made are 12 packages

The number of sheets of blue paper and white paper per package = 7 and 8 sheets respectively

Step-by-step explanation:

The number of sheets of blue paper available to Mrs. Moore = 84 sheets

The number of sheets of white paper available to Mrs. Moore = 96 sheets

The number of blue paper in each package = The number of white paper in each package

Therefore, the maximum number of packages that can be made is given by the Highest Common Factor, HCF,  of 84 and 96 which is found as follows;

The prime factors of 84 = 2² × 3 × 7, from which we have;

Factors of 84 = 4 × 3 × 7 = 12 × 7

The prime factors of 96 = 2⁵ × 3, from which we have;

Factors of 96 = 4 × 8 × 3 = 12 × 8

∴ The HCF of 84 and 96 = 12

The maximum number of packages that can be made = Twelve packages

The number of sheets of blue paper in each package = Seven

The number of sheets of white paper in each package = Eight.

7 0
2 years ago
The equation of a line is -6x - 2y = -18. What is the x-intercept & y-intercept of the line?
WARRIOR [948]

Answer: y int: (0,9)    x int: (3,0)

Step-by-step explanation:

In slope intercept form, the equation is y=-3x+9. In the formula y=mx+b, we know b is the y intercept, so our y int. is 9. To find our x intercept, we set y=0. So, 0=-3x+9=>3x=9=>x=3

5 0
3 years ago
If p is a positive integer, and 4 is the remainder when p-8 is divided by 5, which of the following
malfutka [58]
<h2>sorry I can't help you to solve the equation</h2>
6 0
3 years ago
What are the solutions of the quadratic equation? 4x^2+34x+60=0
insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^{2} +34x+60=0  

so

a=4\\b=34\\c=60

substitute in the formula

x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}

x=\frac{-34(+/-)\sqrt{196}} {8}

x=\frac{-34(+/-)14} {8}

x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}

x_2=\frac{-34(-)14} {8}=-6

6 0
3 years ago
The following is the correct way to begin solving for the quotient of 39.538 divided by 5.3 using the standard method:
wolverine [178]
The standard method is correct but it shows 53 instead of 5.3
so it is False.  Hope it helps
4 0
3 years ago
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