eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine

Answers

Answer 1

Answer

y = 3(2) = 6

Thus, she tutored for 2 hours and cleaned tables for 6 hours.

Explanation

These questions are all about writing down mathematically what they are saying in words. Use variables whenever there is an unknown, and try to write equalities based on what is said.

So, taking it one step at a time:

Eva is working two summer jobs,

Cool.

making $16 per hour and $8 per hour clearing tables.

I'm guessing this is $16/hr for tutoring, and $8/hr for clearing tables?

Last week Eva worked 3 times as many hours clearing tables as she worked tutoring hours

Let C = the number of hours Eva worked at clearing tables

Let T = the number of hours Eva worked at tutoring

Last week Eva worked C = 3 * T

and earned a total of $80.

The amount she earned at each place is:

8*C = money from clearing tables

16*T = money from tutoring

8*C + 16*T = 80

Solve a system of equations in order to determine the number of hours Eva worked tutoring last week, X, and the number of hours Eva worked clearing tables last week, Y,

Welp, I guess they wanted X and Y but it doesn't matter. From the equations above we can say:

8*C + 16*T = 80

C = 3*T

That should be enough to solve for:

C = ?

T = ?

Let x = # of hrs spent tutoring, y = # of hrs spent cleaning tables

We know she worked 3 times as many hours cleaning tables as she did tutoring, which implies:

3x = y

Also, her total earnings add up to $80, which implies:

16x + 8y = 80

This gives us the following system of equations:

3x = y

16x + 8y = 80

Let's make the substitution y = 3x into the 2nd equation:

16x + 8(3x) = 80

16x + 24x = 80

40x = 80

x = 2.

Next, plug in x = 2 into the first equation:

y = 3(2) = 6

Thus, she tutored for 2 hours and cleaned tables for 6 hours.


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what is 100 divided by 52

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1.92307692308

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3/17 as a percentage

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Answer:

3/17×100= approximately 17.6

Step-by-step explanation:

if you have 1,2,4,5,10.20,25,50, you'll multiply both sides by a number that this number when you multiply it by the denominator it will be 100

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What is 1 3/4 times 2/7 equal to?

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Answer:

I believe it would equal .5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1 3/4 is equal to 7/4.

7/4 times 2/7;

you can cancell to get rid of the sevens so it is 1/4 times 2/1

you can also cancel the two and convert the 4 to a two; 1/2 times 1

so the answer is 1/2.

Hope this helps :).

Help plz!!! Will give brainliest

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Answer:

my class worked on this today im pretty sure its the first one!! good luck❤❤

it’s the second

(-3y-x) - (5y-8x)

-3y-5y=-8y

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yes sure why do you want help dear

13. Find the arc length with the given information . centralangle = pi/4, radius = 6

14. Which angle has its terminal side in the second quadrant?

Answers

Answer:

3π/2; 3π/4

Step-by-step explanation:

20% tip on a
$30 haircut.

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kevin is trying to find the height of a tree. he stands 100ft away from the tree and records the angle of elevation to the top of the tree to be 26. Kevins height is 6ft. how tall is the tree?

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Answer:

HERES YOUR ASSIGNMENT! I EDITED IT ON MICROSOFT SO THAT I CAN SCREENSHOT IT AND SEND IT TO YOU...I HOPE IT HELPS :)

ARIGATO OZAIMASU!!!

What is the value of 4 to the power of 0?

Answers

1, anything to the power of 0 gives the answer 1

Answer:

The value to 4 to the power of 0 is 4.

Step-by-step explanation:

Since it is to the power to 0, it would be 4^0. This shows that 4 is not being multiplied to anything.

8• √100 - 4 square • 5

Answers

Answer:4

Step-by-step explanation:

It’s 4

Answer:

8*√100-4^2*5=

0

Step-by-step explanation:

The first day of the year is Saturday. What will the 258th day of the year be?
Group of answer choices

Thursday

Friday

Saturday

Sunday

Monday

Answers

Answer:

1stday=Saturday

8th day=Saturday

8×32 =256days=Saturday

257days=Sunday

258days=monday

The radius of the base to the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which of the following equations gives the measure,θ, of the angle formed by a slant height of the cone and a radius?

Answers

Step-by-step explanation:

In right angled triangle

Tan = opposite side / adjacent side

Opposite side = 7 inches

Adjacent side = 5 inches

Tan = 7/5

Trigonometric function is the ratio of the different sides of the triangle. The correct value of Tanθ is 7/5.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

We know that the value of the perpendicular height of the cone is 7 inches while the measurement of the base of the triangle is 5 inches, therefore, using Pythagoras theorem the third side of the triangle can be written as,

[tex]\rm(Slant\ Height)^2 = 7^2 + 5^2\\\\(Slant\ Height)^2 =49+25\\\\(Slant\ Height)= 8.6[/tex]

Now, the value of the trigonometric ratios can be written as,

[tex]\rm Sin \theta=\dfrac{7}{8.6}\\\\\\Cos \theta=\dfrac{5}{8.6}\\\\\\Tan \theta=\dfrac{7}{5}\\\\\\Cosec \theta=\dfrac{8.6}{7}\\\\\\Sec \theta=\dfrac{8.6}{5}\\\\\\Cot \theta=\dfrac{5}{7}\\\\\\[/tex]

Hence, the correct value of Tanθ is 7/5.

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Which of the following sets of numbers contain the number -1/3

Answers

Answer:

1 2 3 ■■■■■■■■■■■■■■■○♤》●♤\♡○●

Answer:

i think its also 123

Step-by-step explanation:

i123

Match each ratio with its simplest form.
3 : 1
2 : 3
1 : 3
3 : 4
6 : 7
9 : 7
21 : 28
96 : 32
22 : 33
12 : 36
72 : 56
54 : 63

Answers

Answer:

21 : 28 = 3 : 4

96 : 32 = 3 : 1

22 : 33 = 2 : 3

12 : 36 = 1 : 3

72 : 56 = 9 : 7

54 : 63 = 6 : 7

1) The sum of a number and 13 is 47. What
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Write the equation

Answers

Answer:

13+34=47

Step-by-step explanation:

Let us call the number x

13+x=47

so we can assume

47-13=x

47=13=34

13+34=47

SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!

Answers

Answer:

9

Step-by-step explanation:

THE ANSWER Is 9

Answer:

The missing side is 9

Step-by-step explanation:

Th use of the pythagorean thereom  

41^2=1681

40^2=1600

1681-1600=81

81 radical thingy = 9

Complete the table:
Theta
0
90
Sine (theta)
?
1

a.
1
c.
2
b.
-1
d.
0

Answers

Answer:

Step-by-step explanation:

sin(0°) = 0

sin(90°) = 1

The values of sin0 and sin 90 are 0 and 1 respectively

Table and values of a function

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

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my 4th time another hunnid points easy right cmon now Your weclome! Cmon dont be rude i just helped you why dont you do me a favor like i did you follow my twitter racks10k follow my insta racksfym cmon now its only right

Answers

Answer:

thank you sm!

Step-by-step explanation:

I hope you have a good day / night ^^

☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️

What is the angle measured on the protractor? Please help I’m confused. Thanks!!

Answers

Answer:

85

Step-by-step explanation:

The line of the right measures 65 degrees (I think), an the line on the left measures 150 degrees. So, 150 - 65 = 85 degrees.

Answer:

85

Step-by-step explanation:

The measure of an angle is the degrees between the initial and terminal sides of the angle.

IF SOMEONE EXPLAINS THIS TO ME CLEARLY I WILL GIVE YOU BRAINLIST

Answers

Answer:

235/3

Step-by-step explanation:

First, let's make a varible x. Let x be the "what number" part in the question.

Now, Let's convert the words into an equation.

We get:

60% * x = 47

Simplifing, we get:

0.6 * x = 47

0.6x = 47

x = 47 / 0.6

x = 47 / [tex]\frac{6}{10}[/tex]

x = 47 / [tex]\frac{3}{5}[/tex]

x = 47 * 5/3

x = 235/3

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Answers

Answer:

55.26

Step-by-step explanation:

Divide 50 by 9.5 to get the amount the tool will be taxed.

5.26

Add 50 to that to get the total

55.26

The tax rate charge on the tool that is worth 9.5% is $4.75. The total amount paid for the tool is $54.75

What is the tax rate charged on a piece of equipment?

The tax rate charge on a piece of equipment follows a standard rate by tax charges organization in that geographical region.

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A tool is worth $50The tax rate charge = 9.5%

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How do i do this 5th grade math ?

Answers

Answer:

2 and 4

Step-by-step explanation:

cos x= 3/4, s in quadrant 1

Answers

Answer: x = 41.4°

Step-by-step explanation:

We want to solve:

Cos(x) = 3/4

Such that this is on quadrant 1.

(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)

To solve this we need to remember the inverse functions.

If we have two functions f(x) and g(x), these functions are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then the inverse of the cosine function (this function is "arcos(x)") is such that:

Arcos( cos(x) ) = x

Then in our equation:

Cos(x) = 3/4

We can apply the inverse function to both sides to get:

Arcos(Cos(x)) = Arcos(3/4)

x = Arcos(3/4)

(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)

x = Arcos(3/4) = 41.4°

On an assembly line, 1/5 of an item is made in 3/4 of an hour. What is the unit rate?

A
320itemhour

B
415itemhour

C
334itemhour

D
623itemhour

Answers

I don’t know if I’m wrong but Yeah I Think It’s C

In ΔQRS, the measure of ∠S=90°, SR = 56, RQ = 65, and QS = 33. What is the value of the tangent of ∠R

Answers

Answer:

≈0.669

Step-by-step explanation:

a=√(c^2-b^2)

a=√(65^2-56^2)

a=33, a is the final side

tan = O/A

tan = 33/56

tan ≈ 0.669

Which of the following is used to measure a vehicle's efficiency when it
comes to distance traveled with 1 gallon of gas?
A. Odometer
B. GPA
C. Fuel tank size
D. MPG

Answers

Answer:

Miles per gallon, or mpg

Step-by-step explanation:

The equation y =
12 represents a proportional relationship. What is the
constant of proportionality?
A. 12
B. X
C. 1
D. 0

Answers

Answer:

The  constant of proportionality k = 12

Hence, option A is true.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

Where 'k' is called the constant of proportionality.

In our case,

The given equation is

y = 12x

comparing with the equation y = kx, we can say

k = 12 which is the constant of proportionality.

Therefore, we conclude that:

The  constant of proportionality k = 12

Hence, option A is true.

List the answers and I will give brainliest AND all my points

Answers

Answer:

9) - 17

11) - 5

13) 30

15) 16

10) - 20

12) - 1

14) 30

16) - 21

1) 16

3) 21

5) - 22

7) - 19

2) 11

4) 7

6) - 9

8) - 6

Step-by-step explanation:

Sorrh I wrote this weirdly I was reading it downwards not sideways but hopefully this helps either way :))

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