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4 years ago

11

A group of 40 students went on a field trip. Exactly 8 students wore blue shirts. What percent of the students on the field trip

wore a blue shirt?

2 answers:

Komok [63]4 years ago

8 0

20% of the students wore blue shirts

IgorC [24]4 years ago

4 0

40 x 0.08 = 3.2

3.2% out of the 40 students wore blue shirts.

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2=7(−2)+4 what is y?

solmaris [256]

Answer:

2

Step-by-step explanation:

y would be the first number in the equation on the left side of the equal sign. This looks lik the y=mx+b formula, so m, being slope, would be 7, -3 would be x, and b would be 4.

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1 year ago

Read 2 more answers

Find all constants a such that the vectors (a, 4) and (2, 5) are parallel.

Nezavi [6.7K]

Answer:

$\displaystyle a = \frac{8}{5}$ .

Step-by-step explanation:

Two vectors $(x_1,\, y_1)$ and $(x_2,\, y_2)$ are parallel to one another if and only if the ratio between their corresponding components are equal:

$\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}$ .

Equivalently:

$\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}$ .

For the two vectors in this equation to be parallel to one another:

$\displaystyle \frac{a}{4} = \frac{2}{5}$ .

Solve for $a$ :

$\displaystyle a = \frac{8}{5}$ .

$\displaystyle \frac{8}{5}$ would be the only valid value of $a$ ; no other value would satisfy the $\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}$ equation.

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3 years ago

5. Solve by using the square root property.<br>(x - 3)² +6=1

Veseljchak [2.6K]

Answer:

x = 3 + i+√5

x = 3 + i-√5

OR

x= 4 - √6

x= 4 +√6

Step-by-step explanation:

(x - 3)² +6=1

(x - 3)² + 6 = 1

-6 -6

sq root > (x - 3)² = -5

x-3 = i±√5 (i because neg. number)

x = 3 + i±√5

since its ±

two possible answers

x = 3 + i+√5

x = 3 + i-√5

Or

(x - 3)² +6=1

(x-3)+ √6= √ 1

x-3 = 1 - (±) √6

x= 4 - (±) √6

Answers

x= 4 - √6

x= 4 +√6

6 0

3 years ago

What is the average of two opposite numbers?

Kryger [21]

Answer:

0

Step-by-step explanation:

So lets imagine x as our number

Let's make an equation:

$Average=\frac{x-x}{2} \\Average=\frac{o}{2} \\Average=0$

So, This would mean that the average of two opposite numbers is always 0

Hope this helps!

Stay Safe!

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4 years ago

If a wind turbine makes 76 full revolutions every 1 minute what is it’s angular speed?

Maslowich

Answer: $7.958 \frac{rad}{s}$

Step-by-step explanation:

We are told the wind turbine makes 76 revolutions in 1 minute. This means the angular speed $\omega$ of the object in revolutions per minute (rpm) is:

$\omega=76 rpm=76 \frac{rev}{min}$ (1)

However, we have to convert this to $\frac{rad}{s}$ , since this is the unit used in the International Systme of Units for angular speed.

So, we can do this knowing that:

$\omega=\frac{2 \pi}{T}$ (2)

Where:

$2 \pi=360\°$ is the value of one revolution

$T=1 min=60 s$ is the period of rotation

With this information in mind, let's make the conversion:

$\omega=76 \frac{rev}{min}. \frac{1 min}{60 s}. \frac{2 \pi}{1 rev}$ (3)

$\omega=7.958 \frac{rad}{s}$ (4) This is the wind turbine angular speed

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3 years ago