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S_A_V [24]
3 years ago
15

A roll of carpet that contains 150 yards of carpet will cover how many rooms if each room requires 12 and three fourths yards of

​ carpet?
Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0
Assuming that both measurements are the areas, you have 150yds^2 of carpet to cover y rooms with each room needing 12 3/4^2 of carpet.

(If it confuses you, ignore the ^2 because it helps me understand what I'm doing)

For me, it's easier to convert fractions to decimals. 12 3/4 = 12.75

So now you have this equation: 12.75 × y = 150

In algebra, you want to isolate the y, aka the unknown variable. To do so, you need to divide each side by 12.75.

12.75 × y = 150
------------ ------
12.75. 12.75

On the left, you can cross out the 12.75 because it's divided by itself, thereby making it 1. There's no need to have 1y, it's just y. On the other hand, you divide 150 by 12.75, which equals 11.7647059.

Now you might assume to round up this number, making it 12 rooms, but it simply doesn't work. You would have 11 complete rooms and one partially covered room. Therefore, your answer is y = 11 rooms.

Answer: You can cover 11 rooms.

Hope this helps, have a wonderful day. :)
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The number of people , d, in thousands applying for medical benefits per week in a particular city can be modules by the equatio
Mekhanik [1.2K]

Answer:

<h2>4773 peoples.</h2>

Step-by-step explanation:

Given the number of people d, in thousands applying for medical benefits per week in a particular city c modeled by the equation d(t)=2.5 sin(0.76t+0.3)+3.8 where t is the time in years, the maximum number of people tat will apply will occur at d(t)/dt = 0

Differentiating the function given with respect to t, we will have;

d(t)=2.5 sin(0.76t+0.3)+3.8

First we need to know that differential of any constant is zero.

Using\ chain\ rule\\\frac{d(t)}{dt} = 2.5cos(0.76t+0.3) * 0.76 + 0\\ \\\frac{d(t)}{dt} = 1.9cos(0.76t+0.3)

If \frac{d(t)}{dt} =0 then;

1.9cos(0.76t+0.3) = 0\\\\cos(0.76t+0.3)  = 0\\\\0.76t+0.3  = cos^{-1} 0\\\\0.76+3t = 90\\\\3t = 90-0.76\\3t = 89.24\\\\t = 89.24/3\\\\t = 29.75years

To know the maximum number of people in thousands that apply for benefits per year in the city, we wil substitute the value of t = 29.75 into the modeled equation

d(t)=2.5 sin(0.76t+0.3)+3.8\\d(29.75) = 2.5 sin(0.76(29.75)+0.3)+3.8\\d(29.75) = 2.5 sin(22.61+0.3)+3.8\\\\d(29.75) = 2.5 sin(22.91)+3.8\\\\d(29.75) = 0.9732+3.8\\d(29.75) = 4.7732\\\\

Since d is in thousands, the maximum number of people in thousands will be 4.7732*1000 = 4773.2 which is approximately 4773 peoples.

3 0
3 years ago
A box contains 144 marbles, which are either red or blue. if there are 3 times as many red marbles as there are blue marbles in
kicyunya [14]
Given:
X: The blue marbles.
3X: The red marbles.
A box contains 144 marbles.
SOLVING:
X + 3X = 144
4X = 144
X = \frac{144}{4}
X = 36 ===> The blue marbles.

If there are 3 times as many red marbles as there are blue marbles:
3(36) = 108 ===> The red marbles. SOLUTION

TESTING:
36+108=144
\boxed{144}=\boxed{144}\quad\checkmark\ The\ value\ is\ correct.
GOOD LUCK...!!!
3 0
2 years ago
Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?
SVETLANKA909090 [29]

Answer:

Chase would be 24 years old

4 0
2 years ago
Write the ratios of each for the given triangle below
Inessa05 [86]

Answer:

i have made it in above picture

5 0
2 years ago
Please help me please help me thank you
IceJOKER [234]

Answer:

2\sqrt{30}

Step-by-step explanation:

I dont feel like explaining

6 0
2 years ago
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