MATHEMATICS MIDDLE SCHOOL

Erica baby sits for 4 1/2 hours and is paid $27.A. How much does she make per hour?
B. How much does she make for 8 hours?
C. If the people she babysits for have $34 to pay her, how long can they stay out.

Answers

Answer 1

Answer:

She makes $6 per hour. She makes $48 for 8 hours. She can babysit for 5.67 hours if she gets paid $34.

Erica babysits for 4 1/2 hours and gets paid for $27

The amount of money Erica earns in 1 hour is:

= (1 hour × $27 ) ÷ 9/2 hours

= ($27 × 2) / 9

= $6

The amount of money she makes in 8 hours is:

= 8 × $6

= $48

If the people she babysits for have $34 and the rate at which she's being paid per hour is $6, then the number of hours she can stay for is:

=(34 ÷ 6) hours

= 5.67 hours

Learn more about arithmetic operations here:

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Answer 2

Answer: A. Erica gets 6 dollars per hour.
B. She would get 48 dollars for 8 hours.
C. I would say 5 and a half hours. Maybe 5 hours and 45 minutes.

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Joe is researching the cost of going to college. He sees the table shown. Joe wants to create a mathematical model, f(x), where x represents the number of academic years since 1979-1980, to predict future cost of tuition and fees using data in the table.

Which type of function will most closely match the data?
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D) exponential growth function

Answers

Answer:

D) Exponential Growth Function

Step-by-step explanation:

This is because in a linear equation, there is a constant 'slope' of how something increases like a specific amount but in this equation, the growth is by a specific percentage which allows for a difference in the amount each year. For example, a linear function would be if it increased by four dollars every year, so 2, 4, 6, 8,etc. But a exponential function would be like if it increased by for percent each year, so 2, 2.16, 2.25, 2.34, etc.

Answer:

D) exponential growth function

Step-by-step explanation:

1.8 as a mixed number in simplest form

Answers

we know that

A mixed number is a number consisting of a whole number and a proper fraction.

$1.8=1+0.8\n\n =1+(8)/(10)\n\n =1+(4)/(5)\n \n=1(4)/(5)$

therefore

the answer is

$1(4)/(5)$

1.8 as a mixed number in simplest form is $1(4)/(5)$ .

To convert 1.8 to a mixed number in simplest form, we first need to separate the whole number part and the fractional part.

The whole number part is 1 (1.8 can be read as "one point eight").

To find the fractional part, we look at the decimal portion, which is 0.8.

Now, to express 0.8 as a fraction, we put the decimal part over the appropriate place value. Since 0.8 is 8 tenths, we can write it as 8/10.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.

8 ÷ 2 = 4

10 ÷ 2 = 5

So, the simplified fractional part is 4/5.

Now, we can put the whole number part and the fractional part together:

1 + 4/5 = $1(4)/(5)$

Therefore, 1.8 as a mixed number in simplest form is $1(4)/(5)$ .

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The endpoints of the arms of an inscribed angle are the endpoints if a diameter. What is the measure of the inscribed angle? How do you know?Draw a diagram to support your answer.
Please help!

Answers

Since the endpoints lie opposite to each other and are a part of the diameter, the two arms make a straight line because a diameter is always a straight line. So the angle formed is a straight angle and so it is equal to 180°.
Hope I helped! And please do let me know if you have any other doubts!

90 degrees if the third point lands where I think it does (although you don't specify) - see attached. I know because they're be 4 of them if I mirrored a point across to the other side of the circle. If the point did not bisect the other two, then it would take a little more trig, but I could figure it out

What is the measure of Zx?Angles are not necessarily drawn to scale.
L
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M
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N

Answers

Answer:

x = 139º

Step-by-step explanation:

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write the following as an algebraic expression then simplify the sum of two consecutive even integers of the first integer is x

Answers

If the first of two consecutive even integers is x, then the second is two more than that, or x+2. Their sum is
x + (x+2)
In simplified form this is
2x+2

Final answer:

The algebraic expression for the sum of two consecutive even integers, where the first integer is x, is x+(x+2). This simplifies to 2x+2.

Explanation:

To express the sum of two consecutive even integers algebraically, where the first integer is x, it's important to understand that consecutive even integers increase by 2. Therefore, if x is your first even integer, the next consecutive even integer would be x+2.

To find their sum, you would simply add the two together, as follows: x+(x+2).

To simplify, combine like terms. The two 'x' terms add together to make '2x', and you're left with the '+2'. So, the simplified expression for the sum of two consecutive even integers where the first is x is 2x+2.