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Debora [2.8K]
3 years ago
10

The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5

x = 300. What are the measures of the width and the length?
Mathematics
1 answer:
pochemuha3 years ago
4 0
This is a system of equations. We know that if L is length, L=x+5, and area=L*w, where w=x. So, 2+5x=(x+5)x therefore 2+5x=x^2+5x. Subtracting 5x from both sides, x^2=2, therefore x=sqrt(2). So, the width is sqrt(2) and length=sqrt(2)+5
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Assume that adults have iq scores that are normally distributed with a mean of 100100 and a standard deviation of 15. find the t
anastassius [24]
The bell curve attached below shows the normal distribution of the data.

We are looking the value of X such as the area to its left gives the probability of 0.75

We first need the z-score which we can obtain by reading from the z-table (as shown in the second picture below)

The z-score is = 0.7734

Then we use the following formula to work out X
z-score = (X - Mean) ÷ Standard Deviation
0.7734 = (X - 100) ÷ 15
0.7734×15 = X - 100
11.601 = X - 100
X = 11.601 + 100
X = 111.601 ≈ 112 

Hence the third quartile is 112

4 0
2 years ago
Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 m
Sholpan [36]

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

6 0
3 years ago
There are white, blue, and red boats in a marina. Three-fourths of the boats in the marina are white, 4/7 of the remaining boats
insens350 [35]

Answer:

There are 84 total boats.

Step-by-step explanation:

In order to find this, we first need to find the fraction which are red. We can do this by multiplying the whole by how many are not white.

1 * 1/4 = 1/4

Now we take that amount and multiply it by the amount that are not blue of the remaining.

1/4 * 3/7 = 3/28

Now that we have this, and we know this is 9 boats, we can divide 9 by this fraction and it will give us the total number of boats.

9 ÷ 3/28 = 84

8 0
3 years ago
I PROMISE BRAINLIST PLZZ HELLLPPPP ASAPPPP!!!!!!!!!!!!!!!!!
Black_prince [1.1K]
I think the answer is a. -3x^2-x-5
6 0
3 years ago
Number ten please thanks
BlackZzzverrR [31]
-3^2= -(3)^2

The exponent of 2 only applies to the number 3. -(3)^2 should equal -9. This is true because according to the order of operations, exponents should be evaluated before multiplication. The negative sign here represents -1* 3^2.
If you want to find -3 to the power of 2 it must be written (-3)^2.
5 0
3 years ago
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