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Arada [10]
3 years ago
13

a homeowner is planning an addition to her house. she wants the new family room to be a rectangle with an area of 192 feet. The

contractor says that the length needs to be 4 more feet than the width. What will the dimensions of the new room be?
Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

length=16feet  width=12feet

Step-by-step explanation:

This may not be the best way, i just stumbled upon the answer using this.

I knew 14*14=196, which is relatively close to 192.

Then, I took away 2 from one of the 14s and added it to the other 14.

14-2=12    14+2=16

Apparently, 16*12 is 192, so that's the answer.

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wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc
Ksju [112]

d) You have a <u>difference of squares</u>:

49y² - 9 = (7y)² - 3²

Recall the identity,

a² - b² = (a - b) (a + b)

So,

49y² - 9 = (7y - 3) (7y + 3)

e) Pull out the common factor 3 from each term:

3x² - 3x - 90 = 3 (x² - x - 30)

Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so

3x² - 3x - 90 = 3 (x + 5) (x - 6)

f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so

x² - 13x + 42 = (x - 7) (x - 6)

8 0
2 years ago
Read 2 more answers
Find the four arithmetic means between 100 and 135. Show work.
Masteriza [31]

Answer:

Please read the answers below.

Step-by-step explanation:

Let's calculate the four means between 100 and 135, this way:

1. Arithmetic mean:

(100 + 135)/2 = 117.5

2. Weighted mean:

We will assign equal weight to both numbers : 5

(100 * 5 + 135 * 5)/10 = (500 + 675)/10 = 1,175/10 = 117.5

3. Geometric mean:

√100 * 135 = √13,500 = 116.2 (Rounding to the next tenth)

4. Harmonic mean:

2/(1/100 + 1/135) = 2/(0.01 + 0.0074) = 114.9 (Rounding to the next tenth)

7 0
3 years ago
Read 2 more answers
What is 5 times 5 because i had got it wrong
sergiy2304 [10]

Answer:

25

Step-by-step explanation:

8 0
3 years ago
Three times the sum of a number and seven is 23 less than five times the number find the number wrong your answer to the nearest
mote1985 [20]

so you have your two equations 3x+7=5x-23 and solve for x which is your "number" leaving the answer to be <u>x=15</u>

4 0
3 years ago
What is equivalent to 8-8x
MrRissso [65]
8 - 8x is already in its simplest form.

Without knowing the value of x, you cannot find what is equivalent to 8 - 8x, but you can it if is an equation, such as 8 - 8x = 88 (x would be -10).

However, you can still rewrite it as -8x + 8, which is equivalent to 8 - 8x.


3 0
3 years ago
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