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3 years ago

10

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that

represents this problem. What is the area of the rectangle?

1 answer:

RideAnS [48]3 years ago

6 0

You can use a texbook for this question

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It was estimated that 800 people would attend the play, but 752 actually attended. what is the percent error?

natima [27]

Answer:

94 percent

Step-by-step explanation:

7 0

3 years ago

Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe

AlekseyPX

The answer is
$\frac{-6i-3}{5}$ .

Before we rationalize the denominator, we must simplify the numerator and denominator. We evaluate the square root on the top, and combine like terms on the bottom:
$\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}$

To rationalize the denominator, we multiply by the conjugate. The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign. The conjugate of -2-i is -2+i:

$\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}$

7 0

3 years ago

Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are b

kondaur [170]

Male is 66% brown is 50% both is 58% and there are two male puppies

8 0

3 years ago

Read 2 more answers

Someone please help me with this problem

WINSTONCH [101]

Answer:

see consider there are three angle 80 and x and 45(the measure of line is 180 so subtract 180 by 125 u will get 45) now measure of angle is 180 soo the value of x is 55degree so value of x is equal to that of z therefore value of z also 55 degree

4 0

3 years ago

A survey among freshman at a certain university revealed that the number of hours spent studying before final exams was normally

patriot [66]

Answer: 0.0775

Step-by-step explanation:

Given : Mean : $\mu = 25$

Standard deviation : $\sigma =15$

Sample size : $n=36$

Since its normal distribution , then the formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x= 28.2 hours

$z=\dfrac{28.2-25}{\dfrac{15}{\sqrt{36}}}=1.28$

For x= 30 hours

$z=\dfrac{30-25}{\dfrac{15}{\sqrt{36}}}=2$

The P- value = $P(1.28$

$=P(z$

Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775

6 0

3 years ago