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4 years ago

14

Hey agian I need help with this

1 answer:

Lorico [155]4 years ago

4 0

I believe it is A or the first bubble

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()) A rectangular piece of paper has a perimeter of 22 inches and an area of 28 square

Natasha2012 [34]

Given:

Perimeter of a rectangular paper = 22 inches.

Area of the rectangular paper = 28 square inches.

To find:

The dimensions of the rectangular paper.

Solution:

Let l be the length and w be the width of the rectangular paper.

Perimeter of a rectangle is:

$P=2(l+w)$

Perimeter of a rectangular paper is 22 inches.

$2(l+w)=22$

$l+w=\dfrac{22}{2}$

$l=11-w$ ...(i)

Area of a rectangle is:

$A=lw$

Area of the rectangular paper is 28 square inches.

$28=lw$

Using (i), we get

$28=(11-w)w$

$28=11w-w^2$

$w^2-11w+28=0$

Splitting the middle term, we get

$w^2-7w-4w+28=0$

$w(w-7)-4(w-7)=0$

$(w-7)(w-4)=0$

Using zero product property, we get

$(w-7)=0\text{ and }(w-4)=0$

$w=7\text{ and }w=4$

If $w=7$ , then by using (i)

$l=11-7$

$l=4$

If $w=4$ , then by using (i)

$l=11-4$

$l=7$

Therefore, the dimensions of the paper are either $7\times 4$ or $4\times 7$ .

5 0

3 years ago

Soloha48 [4]

Answer:

9 weeks

Step-by-step explanation:

5w+16=61

Subtract 16 from both sides of the above equation.

5w+16-16=61-16

5w = 45

w = 9

8 0

3 years ago

A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (APR) of 5.

Alecsey [184]

Monthly payment is $1082.84.

Solution:

Given data:

Principal = $195000

Rate per year = $5.3\% =\frac{5.3}{100}=0.053$

Rate per month = $\frac{0.053}{12} =0.004416$

Time = 30 × 12 = 360 month

<u>To find the monthly payment using formula:</u>

$$\text{Monthly payment}=P\times\frac{r(1+r)^n}{(1+r)^n-1}$

$$=195000\times\frac{0.004416(1+0.004416)^{360}}{(1+0.004416)^{360}-1}$

$$=195000\times\frac{0.004416(1.004416)^{360}}{(1.004416)^{360}-1}$

If you simplify this using calculator, we get

$=1082.84$

Monthly payment = $1082.84

Option C is the correct answer.

Hence monthly payment is $1082.84.

5 0

4 years ago

1) Mark has only used 8.5% of a 34-oz bottle of shampoo. How many ounces has he used?

marshall27 [118]

Answer:

2.89-oz of shampoo

Step-by-step explanation:

8.5% of a 34-oz

= 8.5/100 x 34-oz

= 0.085 x 34-oz

= 2.89-oz

8 0

3 years ago

Students in Ms. McMath’s class were asked to write a real-world problem that could be solved with the inequality 35 + 0.75x ≥ 0.

irina1246 [14]

Answer:

What um wheres the response????

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers