Caroline earns $139.50 for 6 hours of work. If she makes a constant hourly wage, which table represents the relationship between the number of hours she works and her total earnings?

Answer:

8/21

Step-by-step explanation:

Add the number of marbles : 4+9+8= 21

Then how many are blue: 8

Answer 8/21. Can't be simplified

0.38

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

x = -11

Step-by-step explanation:

−3x + 6 = 39

-3x = 33

x = -11

Step-by-step explanation:

-3x+6=39

-3x=39-6

-3x=33

x=33/-3

x=11

Answer:

-12.6

Step-by-step explanation:

Answer:

x=17/13

Step-by-step explanation:

pretty sure you just shift x alone by itself

Answer: [tex]17/13=1.30769231[/tex]

Step-by-step explanation:

Answer:

4 adaults

Step-by-step explanation:

The bill cost is directly proportional to the calling time.

In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:

k = y / x

Where k is the constant of proportionality, in US dollars per minute.

The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:

k₁ = 12 / 80

k₁ = 3 / 20

k₂ = 9 / 60

k₂ = 3 / 20

There, the bill cost is directly proportional to the calling time.

To learn more on direct proportion models: https://brainly.com/question/20400984

#SPJ1

Answer:

5

Step-by-step explanation:

4x-x=17-2

3x=15I:3

x=5

i think thats right

Answer:

(x-1)(x+4)

Step-by-step explanation:

[tex]x^2+3x-4\\x^2-x+4x-4\\x(x-1) 4(x-1)\\(x-1)(x+4)[/tex]

Answer:

63360

Step-by-step explanation:

==> 5280 ft = x inch. ==> x = 12*5280 = 63360 inch. Then, there are 63,360 inches in one mile.

Answer:

There are 63,360 inches in one mile.

Step-by-step explanation:

We multiply by the conversion factor:

1 mile (5280 feet/1 mile)(12 inches/1 foot)= 63,360 inches per mile.

Answer:

30.99

Step-by-step explanation:

31 - 0.01 = 30.99

Answer:

The answer is "Option b".

Step-by-step explanation:

Calculating the common Box-Cox Transformation:

[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]

  [tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]

    [tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]

There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance

Answer:

D. -7/3, 7/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

9x² - 49 = 0

Step 2: Solve for x

Answer: The element is remaining after 7 minutes = 60.23 grams

Step-by-step explanation:

The equation for mass decay :

[tex]A=A_0(1-r)^t[/tex], where [tex]A_0[/tex] = initial mass, A = mass after t minutes.

Given: [tex]A_0=510\ grams[/tex]

r = 26.3% = 0.263

t = 7 minutes

[tex]A=510(1-0.263)^7\\\\=510(0.737)^7\\\\=510(0.118106123435)\approx60.23\ grams[/tex]

Hence, the element is remaining after 7 minutes = 60.23 grams

Answer:

Its the sames steps as the other answer but round the decimal instead of 60.23 do 60.2 because the ,23 is rounded to the nearest 10th i think thats how i got it right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.

Answer:

73*-2 =-146 you have to multiply the 73 to the -2

Step-by-step explanation:

Answer:

y=5x-9

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,-4) and has a slope of 5.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:

y=5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,-4). When x of the line is 1, y of the line must be -4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,-4).

So, why not plug in for x the number 1 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,-4). y=mx+b or -4=5 × 1+b, or solving for b: b=-4-(5)(1). b=-9.

The equation of the line that passes through the point (1,-4) with a slope of 5

is

y=5x-9

Answer:

1. 2³

2.2⁵= 2×2×2×2×2= 32

2⁶= 2×2×2×2×2×2= 64

Step-by-step explanation:

hope it helps

Answer:

1. [tex]2^{3}[/tex]

2. It represents [tex]2*2*2*2*2[/tex] and [tex]2*2*2*2*2*2[/tex]

Step-by-step explanation:

1. it would have to be an exponent so 2*2*2 is 8 and 2^3 is also 8

2. it is an exponent so it would basically be multiplying the number times the number/amount of exponents so 2^5= 32 and 2^6=64

hope this helped :)  

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

9514 1404 393

Answer:

  (a)  4 in²

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height of the prism.

We can find the area of the base by solving for B.

  B = V/h

  B = (12 in³)/(3 in)

  B = 4 in² . . . . . . . . . . matches the first choice

Answer:

no, the calculator is not broken

Step-by-step explanation:

its not broken i got the same answer your welcome

Answer:

True

Terms are separated by the signs

Answer:

a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Step-by-step explanation:

Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is  and the probability of rolling an even number is  , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.

To find - What is the probability of:

                a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.

                b) the sum of both dice adding up to 4.

Proof -

The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

                                          (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

                                          (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

                                           (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

                                           (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

                                            (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

Now,

Given that , Dice 1 is fair

⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]

Also,

Given Dice 2 is unfair

⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]

    P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]

Now,

a)

P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)

= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]

= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] =  [tex]\frac{2}{9}[/tex][tex][\frac{3}{6} ][/tex] = [tex]\frac{1}{9}[/tex]

⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b)

P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)

                                                                   = [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]  + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]   =  [tex]\frac{5}{54}[/tex]

⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Answer:

70 units²

Step-by-step explanation:

Area of the figure = area of rectangle + area of triangle

= L*W + ½*bh

L = 10

W = 5

b = 5

h = 18 - 10 = 8

Substitute:

Area of the figure = 10*5 + ½*5*8

= 50 + 20

= 70 units²

Answer:

They are complementary angles.

Step-by-step explanation:

The sum of their measurements equals 90 degrees.