2

Lena tutors chemistry. For each hour that she tutors, she earns 30 dollars.

Let E be her earnings (in dollars) after tutoring for H hours.

E

Write an equation relating E to H. Then use this equation to find Lena's earnings after tutoring for 19 hours.

Equation:

x

5

?

Lena's earnings for 19 hours: I dollars

Answers

Answer 1

Answer:

[tex]E = 30 \times H[/tex]

$570

Step-by-step explanation:

Given that:

For each hour of tutoring, Lena earns 30 dollars.

E is her earning and

H is the number of hours for which she tutors.

To find:

Equation relating E to H.

Solution:

Let Lena tutors for 1 hour, then the earning = 30 dollars

Let Lena tutors for 2 hours, then the earning = 30+30 OR 2[tex]\times[/tex]30 = 60 dollars

Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3[tex]\times[/tex]30 = 90 dollars

If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.

[tex]E = 30 \times H[/tex]

So, the equation that relates E to H is given as:

[tex]E = 30 \times H[/tex]

Now, it is given that she tutors for 19 hours.

Let us put H = 19 hours in the above equation:

[tex]E = 30 \times 19 \\\Rightarrow E = \$570[/tex]

Therefore, the earning for 19 hours of tutoring is 570 Dollars.


Related Questions

Which are perfect square trinomials? Select two options.

x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36

Answers

Answer:

C. x2 − 4x + 4

D. x2 + 10x + 25

Step-by-step explanation:

On edge 2021

The two perfect square trinomial  are

x2 − 4x + 4x2 + 10x + 25Options C and D are correct

Perfect square trinomial

Perfect square trinomial is an algebraic expression takes the  form

ax2 + bx + c,

A Perfect square trinomial gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).

Therefore, the two perfect square trinomial perfect are

x2 − 4x + 4x2 + 10x + 25

More on Arithmetic

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Solve for x.
6(x - 1) = 9(x + 2)
x=-8
O x=-3
O x = 3
O x = 8

Answers

Hope this helps, answer is -8

Add. Express your answer as a fraction. Do not include spaces in your answer.

5 1/4 + 15.5​

Answers

Answer:

20 3/4

Step-by-step explanation:

First, add together the whole numbers:

5 + 15

= 20

Then, add the fractions and decimals together:

Convert 1/4 to a decimal, which is 0.25

Add the decimals together:

0.25 + 0.5

= 0.75

Convert this to a fraction:

0.75 = 3/4

Then, add together 20 and 3/4

20 + 3/4

= 20 3/4

Answer:

83/4

Step-by-step explanation:

This is the right answer.

Add the following

- 62 + (- 65)=

Answers

Answer:

-127

Step-by-step explanation:

-127 is your answer

What interval includes all possible values of x, where -3(6 - 2x) >4x + 12
O (-00, -3]
OF-3,00)
0 (0o, 15]
O [15,00)

Answers

Step-by-step explanation:

-3(6 - 2x) > 4x + 12

-18 + 6x > 4x + 12

2x > 30

x > 15

The solution set is (15, ∞).

The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.

The answer is (d) [15,00)

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have,

We can solve the inequality as follows:

-3(6 - 2x) > 4x + 12

Distribute the -3 on the left side:

-18 + 6x > 4x + 12

Subtract 4x from both sides:

2x > 30

Divide both sides by 2:

x > 15

Therefore,

The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.

Learn more about intervals here:

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Please help! alg 1! I really need a explaintion fastttt

Answers

Answer:

y = -5x +10(0, 10)(1, 5)see attached

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

  y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

  (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

  (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached

Answer:

1. y = -5x +10

2. (0, 10)

3. (1, 5)

4. see attached

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

 y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

 (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

 (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached


How many terms are there in the following expression: 3a + 3ab + 7b – 4d?

Answers

A term is a single constant or variables that have non-zero coefficients.

Since there are 4 terms with non-zero coefficients in the following expression, there are 4 terms.

Hope this helps.

頑張って!

how can you find the value of the expression -5 + 12 + 10 - 7

Answers

Answer:

10

Step-by-step explanation:

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.

Answers

Answer:

B.The expression 75ℎ represents the total charge for Elegance Home Architects.

D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Step-by-step explanation:

Which of the following statements are true? Select all that apply.

A.The expression 50ℎ represents the total charge for Rock the House Digital Designs.

B.The expression 75ℎ represents the total charge for Elegance Home Architects.

C.The cost for using Rock the House Digital Designs for an initial consultation only is $550.

D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Answer:

Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:

Total charge for Rock the House Digital Designs = 500 + 50h

Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:

Total charge for Elegance Home Architects = 75h

A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h

B) Option B is correct because the total charge for Elegance Home Architects = 75h

C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500

D) For a period of 15 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250

Total charge for Elegance Home Architects = 75h = 75(15) = $1125

Option D is correct because Elegance home architect would be cheaper

E) For a period of 40 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500

Total charge for Elegance Home Architects = 75h = 75(40) = $3000

Option D is correct because Rock the House Digital Designs would be cheaper

Three times the sum of a number and 12.

Answers

Answer:

3(x + 12)

Step-by-step explanation:

"the sum of a number and 12"

x + 12

"Three times the sum of a number and 12"

3(x + 12)

what is 3x-15+6x+2=45​

Answers

Answer:

x=58/9 fraction x=6 4/9

Step-by-step explanation:

Answer:

x = 6.44 (rounded)

Step-by-step explanation:

First, combine like terms:

3x + 6x + 2 - 15 = 45

(3x + 6x) + (2 - 15) = 45

(9x) + (-13) = 45

9x - 13 = 45

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and is:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 13 to both sides:

9x - 13 (+13) = 45 (+13)

9x = 45 + 13

9x = 58

Next, divide 9 from both sides:

(9x)/9 = (58)/9

x = 58/9

x = 6.44

Which ordered pair is a solution of y = 4x? a. (3, 10) b. (-5, -20) c. (-20, -5) d. (1.5, 6)

Answers

Answer:

YOUR CORRECT OPTION IS B

B) (-5,-20)

y=4x

x= -5

y= -20

Putting values

-20 = 4(-5)

= -20 = -20

Thus, the correct answer is B

Answer:

b (-5,-20)

Step-by-step explanation:

the first number in an ordered pair is the x value and the second is y so when you substitute in these values you get -20= 4(-5) which is true

I NEED HELP PLEASE !!!!

Answers

Answer:

1st choice 9 to the power of 4 times 8 to the power of 4 times

Step-by-step explanation:

(9 times 8) to the power of 4 means

9*8*9*8*9*8*9*8 which is also equal to 9*9*9*9*8*8*8*8

and that is 9 to the power of 4 times 8 to the power of 4 times

Answer:

A

Step-by-step explanation:

Because (9*8)^4 equals 26873856

and 9^4*8^4 equals 26873856

Use the following image to answer the questions below.​

Answers

Answer: Choice A

Ray PL and ray PQ

=======================================================

Explanation:

Opposite rays always have the same endpoint in common. So opposite rays start with the same letter.

Opposite rays also lay on the same geometric line. This means they point in complete opposite directions. Gluing together two opposite rays forms a line that extends forever in both directions.

Ray PQ points in one direction while ray PL points in the opposite direction. These are opposite rays.

Saying "ray PQ" is different from saying "ray QP". The order matters. This is because the first letter tells you the endpoint while the second letter is where the ray is aimed at (and where it goes off forever).

A football match started by 10.25am and ended by 1.35pm. how long did it last?​

Answers

Answer:

The match last for 3 hours and 10 minutes.

Step-by-step explanation:

Match started at 10.25 am

Match ended at 1.35 pm

We need to find how long did the match last.

Minutes between 10.25 am to 11 am = 35 minutes

Minutes between 1 pm to 1.35 pm = 35 minutes

Time between 11 am to 1 pm = 2 hours

Time between 10.25 am and 1.35 pm is :

T = 2 hours 70 minutes

But 1 hour = 60 minutes

T = 2 hours (60+10) minutes

T = 3 hours 10 minutes

It means the match last for 3 hours and 10 minutes.

A committee of three students met with the principal today and agreed that Rachel will report to the principal every $9$ days, Jessica every $12$ days, and Richard every $15$ days. What is the least number of days before all three will again report to the principal on the same day?

Answers

Answer:

180 days

Step-by-step explanation:

To solve for the least number of days all three will again be report to the principal, find the lowest common multiples of all three of them

Rachel will report to the principal every 9 days, Jessica every 12 days, and Richard every 15 days

Rachel (every 9 days) = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180

Jessica (every 12 days) = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180

Richard (every 15 days) = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180

The lowest common multiples of 9 days, 12 days, 15 days is 180 days

Therefore, the least number of days all three will report again to the principal is 180 days

Please help Asap almost done

Answers

Answer:

question 11 is d   and question 12 is g   hope it helps

Step-by-step explanation:

subtract 24.65from 75              

add both fractions

I need help help me please

Answers

lime=1
pepper=3
that green stuff=18
salt=9
advacodo=6

To determine whether
(-1,4) is a solution to the equation 3x + 8y =
29, substitute
for x —
and
for y — .

Answers

Answer:

(- 1, 4 ) is a solution to the equation

Step-by-step explanation:

Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution

Given

3x + 8y = 29, then

3(- 1) + 8(4) = - 3 + 32 = 29 = right side

Thus (- 1, 4 ) is a solution of the equation

I need the Answer to the question plz

Answers

Answer:

9

Step-by-step explanation:

[tex]15-\frac{10}{5} -2^{2}[/tex]

[tex]15-\frac{10}{5}-4\\15 -2-4\\13-4\\=9[/tex]

Help with question on Complementary and Supplementary Angles

Answers

Step-by-step explanation:

Right angle = 90°

(x + 3) + (x - 1) + (x + 1) = 90

3x + 3 = 90, x = 29.

Supplementary angles = Angles that add up to 180°.

x + (x + 104) = 180

2x = 76, x = 38.

The value of x in fig.1 is 29 .

The value of x in fig.2 is 38 .

Given,

Figures having different angles .

1)

Right angle = 90°

(x + 3) + (x - 1) + (x + 1) = 90

3x + 3 = 90

x = 29.

2)

Supplementary angles = Angles that add up to 180°.

x + (x + 104) = 180

2x = 76

x = 38.

Know more about angles ,

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The product of 6 and x is less than or equal to -37

Answers

Answer:

Step-by-step explanation:

6x≤-37

x≤-37/6

x≤ -6 1/6

What is 24 times 1 billion divided over by 2346

Answers

Answer: 10,230,179.02813299

Step-by-step explanation:

That would be your answer

Answer:

uh

Step-by-step explanation:

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 2 and flipping heads? Write
your answer as a fraction in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

Use money sentences to simplify: -10-5

Answers

Answer:

The answer is

-15: I owe $10. I owe $5.

Steve needs to ship a box of dice, each of which is a cube with a volume of 1 cubic centimeter. How many dice can Steve fit in this box? A. 39 B. 270 C. 972 D. 1,944

Answers

Answer:

D. 1,944

Step-by-step explanation:

the box's size is missing, so I looked for a similar question:

the box measures:

base (12 cm) width (9 cm)  height (18 cm)

total volume of the box = 12 x 9 x 18 = 1,944 cm³

since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.

a baker made 260 cupcakes last week of 55% were chocolate how many cupcakes were chocolate​

Answers

Fifty five percent times two hundred and sixty equal one hundred and forty three

Find the difference between 7/10 and 14/15

Answers

Answer:

the difference between the two fractions is 1/10

Step-by-step explanation:

when solving this problem you must switch the denominators to the same number. in this case thats 30. so 10*3 is 30 and 15*2 is 30. so then we multiply 7*3 to get 21 and 14*2 to get 24. so now we have 21/30 and 24/30, so then we compare. and we end up with 3/30, we simplify the answer to 1/10.

Solve: -3x + 12 = -18

Answers

Answer:

x=2

Step-by-step explanation:

-3x+12=-18

-3x=-18+12

-3x=-6

x=-6/-3

x=2

Answer:

x=10

Step-by-step explanation:

We are given the equation:

[tex]-3x+12= -18[/tex]

and asked to solve for x. Therefore, we must isolate x on one side of the equation.

12 is being added to -3x. The inverse of addition is subtraction. Subtract 12 from both sides of the equation.

[tex]-3x+12-12= -18 -12[/tex]

[tex]-3x= -18-12[/tex]

[tex]-3x=-30[/tex]

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides of the equation by -3.

[tex]-3x/3=-30/-3[/tex]

[tex]x= -30/-3[/tex]

[tex]x=10[/tex]

Let's check our solution. Plug 10 in for x and solve.

[tex]-3x+12=-18[/tex]

[tex]-3(10)+12=-18[/tex]

Multiply -3 and 10.

[tex]-30+12=-18[/tex]

Add 12 to -30.

[tex]-18=-18[/tex]

This checks out, so we know our solution is correct.

The solution -3x+12=-18 is x=10.

The life expectancy in the US is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. What is the probability that the same mean will be larger than 77 years?

Answers

Answer:

0.02275

Step-by-step explanation:

We use this z score formula to solve for this question

z-score is is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

From the above question,

x = 77

μ = 75

σ = 7

number of samples = 49

Hence, the z score = 77 - 75/ (7/√49)

= 2/(7/7)

= 2/1

= 2

Hence, the z score = 2

Using the z table to find probability

P(x<77) = 0.97725

P(x>77) = 1 - P(x<77)

= 1 - 0.97725

= 0.02275

Therefore, the probability that the same mean will be larger than 77 years

is 0.02275

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