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ELEN [110]
3 years ago
5

A rectangle’s length is 9 more than 4 times its width. The area of the rectangle is 90 square inches. What is the width of the r

ectangle?
Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

15/4 in or 3.75 in

Step-by-step explanation:

Find your equations:

L = 4w + 9 in

A = L*w = 90 in^2

Substitute L:

L*w = 90 in^2  <--  L = 4w + 9

(4w + 9in)w = 90 in^2  

4w^2 in^2 + 9w in = 90in^2

Solve Simultaneously:

w = -6 in, 15/4 in

Width is positive so it is 15/4 in or 3.75 in.

Double check:

(4w + 9in)w = 90 in^2  

(4*3.75in + 9in)(3.75in) = 90 in^2

Leave a like if this helped and mark brainliest

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professor190 [17]

Answer:

6 * 10^2

Step-by-step explanation:

Simplify : (4.2×10^7)÷(7×10^4)

(4.2 × 10^7) / (7 × 10^4)

From indices : 10^a ÷ 10^b = 10^(a - b)

(4.2 / 7) * 10^(7-4)

0.6 * 10^3

= 6 * 10^2

Hence, (4.2×10^7)÷(7×10^4) = 6 * 10^2

6 0
3 years ago
Change 46% into fraction​
PSYCHO15rus [73]

Answer:

46/100 = 23/50

Step-by-step explanation:

I hope this helped plzz mark me as brainliest plzzzz

7 0
3 years ago
Which shapes are congruent?<br> (See attachment)
Andre45 [30]
Hello! Congruent figures are those with the same size and shape. With that being said, if you look at the shapes correctly, here are your answers:

Quad 1 & 2: Not Congruent
Quad 1 & 3: Congruent
Quad 1 & 4: Congruent
Quad 2 & 3: Not Congruent
Quad 2 & 4: Not Congruent
Quad 3 & 4: Congruent
3 0
3 years ago
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Which fraction is in simplest form?<br><br> ​2-10​<br><br> ​5-12​<br><br> ​3-6​<br><br> ​4-8
IgorLugansk [536]

Answer:

5/12

Step-by-step explanation:

All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.

8 0
3 years ago
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A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i
Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: \frac{x}{20}+\frac{x}{12}+900= 1200 , where x is the distance.

B.  The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is x feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, Time=\frac{Distance}{Speed}

So, the time taken by the bee to reach the flowerbed = \frac{x}{20} seconds and the time taken to fly back to the hive =\frac{x}{12} seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

5 0
3 years ago
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