The graph shows the charges of an instructor. The
instructor charges an initial fee and then an hourly rate
for private lessons. Determine the instructor's hourly
charge from the graph.
What is the hourly charge?
O $1.00
O $4.00
O $7.00
O $8.00

Answer:

y = 63 when x = 36

Step-by-step explanation:

The answer is 63 because 36 divide by 8 is 4.5 and 14 times 4.5 equals 63

Hope this helps and can you please mark me brainliest because I just need 4 more brainliest to become expert.

Answer:

Step-by-step explanation:

Let the number we are looking for be x. If Jack divided 1,826.5 by the number to get a quotient of 18.265, to get the number we will solve the equation;

1,826.5/x = 18.265

Cross multiply

1826.5 = 18.265x

Divide both sides by 18.265

18.265x = 1826.5

18.265x/18.625 = 1826.5/18.625

x =  100

Hence Jack divide 1,826.5 by 100 to get a quotient of 18.265

Here, we are required to find the number Jack divide 1,826.5 by to get a quotient of 18,265?

The number is 100

First, it is important to form an expression from the data given;

Let the no. which Jack divided 1,826.5 by be x.

The result of the division yields a quotient of 18.265.

From the statements above;

1,826.5/x = 18.265

Therefore, 1826.5 = 18.265x.

Therefore, x = 1826.5/18.265 = 100.

Therefore,

the number which Jack divided 1,826.5 by to get a quotient of 18.265 is x = 100.

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Answer:

An expression

Step-by-step explanation:

Here is what I think it is. 7 is not an example of an expression because an expression is an equation without an equal sign. I believe that an expression has more than 1 number in it, so 7 is not an expression.

Answer:

x>4

Step-by-step explanation:

Use the distributive property to multiply 2 by x−3.

2x−6+5x<9x−14

Combine 2x and 5x to get 7x.

7x−6<9x−14

Subtract 9x from both sides.

7x−6−9x<−14

Combine 7x and −9x to get −2x.

−2x−6<−14

Add 6 to both sides.

−2x<−14+6

Add −14 and 6 to get −8.

−2x<−8

Divide both sides by −2. Since −2 is <0, the inequality direction is changed.

x>-8/-2

Divide −8 by −2 to get 4.

x>4

Please give me the Brainliest answer!!!!

Answer:

x=4

Step-by-step explanation:

First you would distribute the 2 to get

2x-6+5x<9x-14

then you would combine like terms to get 7x

7x-6<9x-14

Third you would take the 7x across to the 9x making 2x (because you change the sign when moving across the =) so

-6<2x-14

Then bring the -14 across to the -6 making it 8

8=2x

then divide both sides by 2

Answer:

Step-by-step explanation:

B

Answer:

its C

Step-by-step explanation:

Answer: its called a additive inverse

Step-by-step explanation:

Answer:

the opposite positive number is negative, and the opposite to a negative number is positive.

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite number, sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.

Answer:A ratio is a comparison of two numbers or measurements. A rate is a special ratio in which the two terms are in different units. ... For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. The first term of the ratio is measured in cents; the second term in ounces.

Answer:

Your answer is 100. Hope it helped.

Answer: x=12

Step-by-step explanation: x - 5 =12 the inverse operation of subtracting is adding so add 5 to both sides and you are left with x=7 + 5 the 5 on the left side cancels each other out so now all you do is add 5 to 7 and your left with x = 12

Answer: it is 3560.77

Answer:

5 teachers

Step-by-step explanation:

We know that the 15 members finished 1/3 of the job in 4 hours. When the teachers came they finished 2/3 of the job in 6 hours. So they finished 1/3 of the join in 3 hours of we simplify it.

4 hour: 15 minutes

3 hour: ?

15/3 x 4= 20 teaches. Then we do 20-15=5 because there were originally 15 members.

The time spent and the number of people are illustrations of ratio and proportions.

5 teachers helped the 15 members of the drama club

We have:

[tex]t= 12hrs[/tex] --- time

[tex]n = 15[/tex] --- members of the drama club

After four hours, the amount of time left is 8 hours.

So, we have:

[tex]15\ members \to 8\ hours[/tex]

But the teachers joined them, and they finished in 6 hours.

So, we have:

[tex](x + 15) \to 6\ hours[/tex]

Where x represents the number of teachers

Rewrite as:

[tex]15\ members \to 8\ hours[/tex]

[tex](x + 15) \to 6\ hours[/tex]

Multiply

[tex](x + 15) \times 6 = 15 \times 8[/tex]

[tex]6x + 90 = 120[/tex]

Collect like terms

[tex]6x = 120 - 90[/tex]

[tex]6x = 30[/tex]

Divide both sides by 6

[tex]x = 5[/tex]

Hence, 5 teachers helped them.

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The solution is Option B.

The value of x = 4 is not a solution to the equation | x + 5 | = -9

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the equation be represented as A

Now , the value of A is

| x + 5 | = -9   be equation (1)

On simplifying the equation , we get

The modulus function always returns a positive value

So , when x = 4

Substitute the value of x = 4 in the equation , we get

| 4 + 5 | = -9

| 9 | = -9

And , 9 ≠ -9

Therefore , the equation is False

Hence , the solution is false and the modulus function returns a positive value

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Answer:

given cos(2θ) =  1 - 2 sin²(θ)

=>  cos(2θ) = 1 - 2(11/61)²

=> cos(2θ) = 1 - 2* 121/3721

=> cos(2θ) = 1 - 242/3721

=> cos(2θ) = 3479/3721

Step-by-step explanation:

The value of cos 2θ is = 3479 / 3721 or 0.9349

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the value of sin θ = 11 / 61

So , the value of cos 2θ = 1 - 2sin²θ

On simplifying the equation , we get

sin θ = 11 / 61

sin²θ = ( 11/61 )²

So , substituting the value in the equation , we get

cos 2θ = 1 - 2sin²θ

cos 2θ = 1 - 2( 11/61 )²

           = 3721 - ( 242 / 3721 )

           = 3479 / 3721

cos 2θ = 0.9349

Therefore , the value of cos 2θ = 0.9349

Hence , The value of cos 2θ is = 3479 / 3721 or 0.9349

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Answer:

34.8

Step-by-step explanation:

36-1.2 = 34.8

Answer:

1. is b 2. is a 3. is d

Step-by-step explanation:

:D

Answer:

You travel 6 miles

Step-by-step explanation:

3+3

Answer:

A. (x-5)(x-7)

B. It means the zeroes of the graph are at (5,0) and (7,0)

Step-by-step explanation:

A

find what + what equals -12, and multiples to 35.

List all multiples of 35.

1 35

5 7

- 12 is negative so that means it is -5 and -7

(x-5)(x-7)

B

The factor numbers are where the zeroes on a graph are, but whatever is in parenthesis, the number is opposite on a graph (e.g. if it was (x-3), the zero would be (3,0)

Answer:

A. (x-5)(x-7)

B. It means the zeroes of the graph are at (5,0) and (7,0)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

Lou is correct

Step-by-step explanation:

Let's analyze each statement.

First statement says:

"Jim thinks eight - hundredths is ten times larger than eight - thousandths.

What he is saying is that ten times of eight thousandths is lesser than eight - hundredths.

Now, expressing this in numbers gives:

800/8000 = 10

By inspection, we can see that 800/8000 is equal to 1/10 and not 10 that is given.

Thus, the statement is not correct.

Second statement says;

Lou thinks eight - thousandths is ten times larger than eight hundredths.

What he is saying is that ten times of eight hundredths is smaller than eight thousandths. Expressing this in numbers gives;

8,000/800 = 10

By inspection, 8000/800 gives 10 which corresponds to what is given.

Thus, the statement is correct.

Thus, Lou is correct.

x=17/2,-23/2

Step-by-step explanation:

had this question hope it helps

Answer:

The area of triangle is 3444 mm².

Step-by-step explanation:

First, you have to convert the length of square into millimeters :

[tex]1cm = 10mm[/tex]

[tex]8.2cm = 10mm \times 8.2[/tex]

[tex]8.2cm = 82mm[/tex]

Next, you have to apply area of square formula, A = length×height :

[tex]area = length \times height[/tex]

[tex]let \: length = 82,height = 42[/tex]

[tex]area = 82 \times 42[/tex]

[tex]area = 3444 {mm}^{2} [/tex]

Answer:3,444 mm^2

Step-by-step explanation:

1 cm is 10 mm, so 8.2 cm is 82 mm. 82 mm x 42 mm = 3,444 mm^2

Answer:

x = -9/4

Step-by-step explanation:

−2(x + 1/4) + 1 = 5 ​

Subtract 2 from both sides.

−2(x + 1/4) = 4 ​

Divide both sides by -2.

x + 1/4 = -2

Subtract 1/4 from both sides.

x = -2 1/4

x = -9/4

Answer:

Step-by-step explanation:

C

The required expression that represents the number of years it will take Catherine to earn the same salary as Lola is 75,000n + 4,800n = 80,000n + 3,900n. option C is correct.

Given that,
Catherine earns a yearly salary of $75,000. Lola earns a yearly salary of $80,000. Catherine will receive a salary increase of $4,800 per year, and Lola will receive a salary increase of $3,900 per year.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of years be n
Catherine's income after n year = 75000 + 4800n
Lola's income after n year = 80000 + 3900n
According to the question,
75,000n + 4,800n = 80,000n + 3,900n

Thus, the required expression that represents the number of years it will take Catherine to earn the same salary as Lola is 75,000n + 4,800n = 80,000n + 3,900n. Option C is correct.

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Answer:

$3003

Step-by-step explanation:

Set it up as an fraction

9/100 = x/3300

Cross multiply

100x = 29700

Simplify

100x/100 = 29700/100

Isolate the x

x = 297

297 is how much they will save this year. To find out how much he will pay subtract x from his original payment.

3300 - 297 = $3003

Hope this makes sense.