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3 years ago

7

Get fit gym charges a yearly fee of $250 plus $10 for each session with a personal trainer. Tight N’Toned gym charges a one time

fee $50 plus $30 per session

1 answer:

Sindrei [870]3 years ago

8 0

Answer:12345678910

Step-by-step explanation:

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7. The difference of Grandma Annie's age and twice Carl's is 22. Gran

OlgaM077 [116]

<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

<em>Difference</em> = subtract
<em>Twice</em> = double
<em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

Difference of Annie's age and twice Carl's age is 22
Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

Let Annie's age be equal to <em>x.</em>
Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

Difference of Annie's age and twice Carl's age is 22
⇒ $x-2y=22$

Annie's age is 13 less than 3 times Carl's age
⇒ $x=3y-13$

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

$(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35$

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

$x=3y-13\\x=3(35)-13\\x=105-13\\x=92$

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0

3 years ago

40% of students enjoy playing Among us. If 100 students enjoy playing Among us, how many students are there?

Luba_88 [7]

Answer:

250

Step-by-step explanation:

40%= 100

10%=25

100%= 250

6 0

3 years ago

Read 2 more answers

A mocking bird flies a distance of 24 feet in 3 seconds. Another mocking bird flies a distance of 40 feet in 5 seconds.

Dennis_Churaev [7]

Since both have a ratio of 8 feet to one second, we draw the conclusion that the situation may be described using a proportionate relationship.

<h3>Is the relationship shown proportionally?</h3>

Keep in mind that the formula for a proportionate connection between two variables is:

y = k*x

where k is the proportionality constant.

If we get the same proportionality constant for the two supplied pairs of variables, then the presented scenario is proportional. Let's define x as the time and y as the distance.

After the first pair has traveled 24 feet in 3 seconds:

24 feet = k*3s

K = 8 ft/s for (24 ft/3s)

After the second pair moves 40 feet in 5 seconds:

40ft = k*5s

K = 40ft/5s 8ft/s

Then, because both have a ratio of 8 feet to one second, we draw the conclusion that the situation may be described using a proportionate relationship.

For further information on proportional relationships:

brainly.com/question/12242745

#SPJ1

3 0

2 years ago

Read 2 more answers

During a dig, an archaeological team starts at an elevation of −512 feet. At a rate of 234 feet per hour, the team digs deeper i

creativ13 [48]

Are you referring to this question?
During a dig, an archaeological team starts at an elevation of −5 1/2 feet. At a rate of 2 3/4 feet per hour, the team digs deeper into the surface for 3 1/2 hours. For the next 4 1/2 hours, the team digs at a rate of 1 5/12 feet per hour. Then the team quits for the day.
How many feet did the archaeological team dig after 3 1/2 hours?
<span>What was the team's elevation at the end of the day?
</span>
If so, then let us find out the elevation.

The rate of their dig is 2 3/4 ft per hr for 3 1/2 hours, then the total distance dug after 3 1/2 hours should be: 9 5/8 ft

Here’s how we get the total distance:

First, change mixed number into improper fraction and proceed to multiplication

2 3/4--> 11/4 and 3 1/2 becomes 7/2

Multiply.

11/4 x 7/2 = 77/8

Simplify 77/8--> 9 5/8 ft

Let us move on at the rate of 1 5/12 ft per hr for the next 4 1/2 hr,

Following the same procedure as above, the distance would be: 6 9/24 ft

Distance= 1 5/12 x 4 1/2

= 17/12 x 9/2

= 153/24

= 6 9/24 ft

Thus,to sum up everything, they have a total dug of:

9 5/8 + 6 9/24 = 9 15/24 + 6 9/24 = 16 ft

Then, their elevation on that day<span> is -5 1/2 - 16 = -21 1/2 ft</span>

5 0

4 years ago

PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!

MArishka [77]

Answer:

923.63

Step-by-step explanation:

the formula for the surface area of a cylinder is 2πrh + 2πr^2 ( i just looked it up lol)

6 0

3 years ago