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zubka84 [21]
3 years ago
6

The wards decided to use carpet tiles in the family room. The room has an area of 176 square feet and is 5 feet longer than it i

s wide. Find the dimensions of the family room
Mathematics
1 answer:
ipn [44]3 years ago
5 0

Answer:

The dimensions of the room are length is <u>16 feet </u>and the width is <u>11 feet</u>.

Step-by-step explanation:

Given:

The wards decided to use carpet tiles in the family room. The room has an area of 176 square feet and is 5 feet longer than it is wide.

Now, to get the dimensions.

Let the width be x.

So, the length = x+5.

Area = 176 square foot.

So, we put formula of area to get the dimensions:

Area = length × width.

176=(x+5)\times x

176=x^2+5x

<em>Subtracting boths sides by 176 we get:</em>

0=x^2+5x-176\\x^2+5x-176=0

<em>On solving the equation:</em>

<em />x^2+16x-11x-176=0\\x(x+16)-11(x+16)=0\\(x+16)(x-11)=0<em />

<em>As, </em>

x+16 = 0

x=-16

<em>So, we would not take the negative result.</em>

<em>Thus, </em>

x-11=0\\x=11

<u>So, the width = 11 feet.</u>

Now, to get the length by substituting the value of x:

x+5\\=11+5\\=16

<u>The length = 16 feet.</u>

Therefore, the dimensions of the room are length is 16 feet and the width is 11 feet.

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Clare travels at a constant speed, as shown on the double number line
Usimov [2.4K]

Answer:

1. 36 miles

2. 108 miles

3. 234 miles

Step-by-step explanation:

Here we have the Distance in miles, time and calculated speed as follows;

Distance (miles)                  Elapsed time (hours)              Speed (miles/hour)

       0                                        0                                          0

       72                                      2                                          36

       144                                     4                                          36

       216                                     6                                          36

Distance = Speed (miles/hour) × Elapsed Time (hour)

Therefore, in

1. 1 hour, she travels

1 × 36  = 36 miles

2. 3 hours she travels

3 hours × 36 miles/hour = 108 miles

3. 6.5 hours she travels

6.5 hours × 36 miles/hour = 234 miles.

5 0
3 years ago
Monique made several batches of soup for a potluck supper. Each batch required 3\4 0f a pound of potatoes, and she used a total
eimsori [14]

Answer:

The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.

The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).

Step-by-step explanation:

As given

Monique\ made\ several\ batches\ of\ soup\ for\ a\ potluck\ supper.

Each\ batch\ required\ \frac{3}{4}\ of\ a\ pound\ of\ potatoes.

she\ used\ a\ total\ of\ 6 \frac{1}{2}\ pounds\ of\ potatoes.

As given the expression.

= \frac{6 \frac{1}{2}}{\frac{3}{4}}

= \frac{\frac{13}{2}}{\frac{3}{4}}

Solving the above

= \frac{13\times 4}{2\times 3}

= \frac{26}{3}

In the decimal form.

= 8.67 (Approx)

Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.

Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).

6 0
3 years ago
How many kilograms of tin will be required to make 250 kg of an alloy, if the alloy must contain 81% copper, 14% tin and 5% lead
uysha [10]

Answer:

35

Step-by-step explanation:

all are obeying a constant ratio

  • copper 81
  • tin 14⇒?
  • lead 5
  • total 100 ⇒250
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5 0
2 years ago
Read 2 more answers
Many universities and colleges have instituted supplemental instruction (SI) programs, in which a student facilitator meets regu
aev [14]

Answer:

Step-by-step explanation:

Let many universities and colleges have conducted supplemental instruction(SI) programs. In that a student facilitator he meets the students group regularly who are enrolled in the course to promote discussion of course material and enhance subject mastery.

Here the students in a large statistics group are classified into two groups:

1). Control group: This group will not participate in SI and

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b)Some students might be more motivated, and they might spend the extra time in the SI sessions and do better. Here they have done better anyway because of their motivation. There is other possibility that some students have weak background and know it and take the exam, But still do not do as well as the others. Here we cannot separate out the effect of the SI from a lot of possibilities if you allow students to choose.

The random assignment guarantees ‘Unbiased’ results - good students and bad are just as likely to get the SI or control.

c)There wouldn't be any basis for comparison otherwise.

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2 years ago
Write an algebraic expression for the phrase.<br><br> the sum of f and 6
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Answer:

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