4x - y - 2z if x = -2, y = 3, and z = -2

Each of the 59 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs.

slega [8]

<h2>Answer:</h2>

The the number of students who sign up for all three clubs = 6

<h2>Step-by-step explanation:</h2>

The total number of students in the class is given by:

Total number of students= Number of students in poetry club+Number of students in history club+Number of students in writing club-Number of students in exactly 2 clubs-2×Number of students in all the three clubs.

Based on the information we have:

Total number of students= 59

Number of students in poetry club= 22

Number of students in history club= 27

Number of students in writing club= 28

and number of students in exactly two clubs=6

Let the number of students in the three club= x

Hence, we have:

59=22+27+28-6-2x

i.e.

59=71-2x

i.e.

2x=71-59

i.e.

2x=12

i.e.

x=6

Hence, the answer is: 6

4 0

3 years ago

Twice a number (x) is less than 10

Wewaii [24]

2x < 10

Solving:

Divide each side by 2

x < 5

Hope this helps!

5 0

3 years ago

The circumference of a circle is 7π m. what is the area

Helen [10]

Answer: 38.4845100065m²

when rounded to the nearest tenth: 38.5m²

when rounded to the nearest hundredth: 38.48m²

when rounded to the nearest thousandth: 38.485m²

Step-by-step explanation:

the formula for finding the area of a circle is $A = \pi r^{2}$ , where A = area and r = the radius of the circle.

since you're only given the circumference, we need to calculate the radius of the circle before we can find the area.

to find the radius of a circle, you can either divide the measure of the diameter by 2 OR use the formula $r=\frac{C}{2\pi}$ where r = radius and C = circumference.
because there is no given diameter measurement in your question, the best way to find the radius is to use the formula $r=\frac{C}{2\pi}$ .

first, plug the given values into the equation.

since $7\pi$ is the given circumference, plug in $7\pi$ for $C$ .

$r=\frac{C}{2\pi}$ ⇒ $r=\frac{7\pi}{2\pi}$

the equation becomes $r=\frac{7\pi}{2\pi}$ , aka radius equals seven times pi divided by two times pi.

now divide $\frac{7\pi}{2\pi}$ .

$\frac{7\pi}{2\pi} = 3.5$

now we know that the radius of the circle is 3.5 :) since we have this information, we can now solve for the area of the circle using the formula $A = \pi r^{2}$ .

first, plug in $3.5$ for $r$ .

$A = \pi r^{2}$ ⇒ $A = \pi 3.5^{2}$

now multiply $\pi 3.5^2$ , aka pi times three and five tenths squared.

$\pi 3.5^2 = 38.4845100065$ (if needed, you can round this result to the nearest tenth, hundredth, etc.)

the area of the circle is 38.4845100065m². i hope this helps! have an amazing day <3

6 0

3 years ago

Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequ

velikii [3]

Answer:

We have the inequality:

-46 < -34

This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.

An example to see this is suppose that these numbers represent money.

Because the numbers are negative, then these represent money you owe.

-46 means that you owe $46

-34 means that you owe $34

Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.

Another example is if these numbers represent distance under the surface of the water.

-46 means that you are 46 ft under the surface of the water

-34 means that you are 34 ft under the surface of the water.

Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.

8 0

3 years ago

An Uber charges $7 per ride plus $0.50 for each mile driven.Logan paid $15 for his ride. Write the equation

Anestetic [448]

0.50x+7=15 is the equation but there are farther steps to see how many miles logan went in the uber.

7 0

3 years ago