Rachel is a nurse. She earns 12 vacation days after working 768 hours. How many hours does racheal need to work to earn 1 vacation day?

Hey there!

The answer to your question is the third option: 2n + 7 = 5; n = -1

"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":

2n + 7 = 5         Step 1: Write the equation.

     2n = -2        Step 2: Subtract 7 from both sides.

       n = -1         Step 3: Divide both sides by 2.

Therefore, "n" is equal to -1, and the third option would be correct.

Hope it helps! Have a great day, and good luck on your assignment!

Answer:

Step-by-step explanation:

The answer to your question is the third option: 2n + 7 = 5; n = -1

"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":

2n + 7 = 5         Step 1: Write the equation.

    2n = -2        Step 2: Subtract 7 from both sides.

      n = -1         Step 3: Divide both sides by 2.

Therefore, "n" is equal to -1, and the third option would be correct.

Given :

A graph with a straight line on it.

To Find :

The equation of the line.

Solution :

From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .

Also, equation of line passes through two points [tex](x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex] is :

[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)[/tex]

Putting all given values, we get :

[tex]y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6[/tex]

Therefore, the equation of line is y - x = 6 .

Step-by-step explanation:

[tex] \frac{12}{6} \times \frac{12}{1} = 24[/tex]

That is the answer

Answer:

G

Step-by-step explanation:

-4,1 because first is x axis and then y

Answer:

The answer is G (-4,1)

Step-by-step explanation:

The intersection means where the two lines meet. So look at that and you will find (-4,1) if that makes any sense.

Answer:

Y=mx+b

Step-by-step explanation:

That is the equation to solve for your answer

Answer:

The sum of 1/3x and 2/5x will be:

[tex]\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x[/tex]

Step-by-step explanation:

Finding the sum of 1/3x and 2/5x.

i.e.

[tex]\frac{1}{3}x+\frac{2}{5}x[/tex]

Factor out common term x

[tex]\frac{1}{3}x+\frac{2}{5}x=x\left(\frac{1}{3}+\frac{2}{5}\right)[/tex]

as

[tex]\frac{1}{3}+\frac{2}{5}=\frac{5+6}{15}=\frac{11}{15}[/tex]

so the expression becomes

                 [tex]=\frac{11}{15}x[/tex]      

Therefore,  the sum of 1/3x and 2/5x will be:

[tex]\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x[/tex]

Answer:

Step-by-step explanation:

1) The first option comprises of seven like terms and one 6, which would result in 7z + 6.

2) The second option is blank.

3) The third option comprises of two numbers with like terms that actually do add up to 6z.

4) The fourth option is z multiplied by itself 6 times, which is z to the power of 6 or z⁶.

5) The fifth option is z divided by 1/6, which is [tex]\frac{z}{6}[/tex].

I hope this helps! Have a blessed day!

Answer:

x+21y

Step-by-step explanation:

x+3y+8y

Group like terms

x+(3y+8y)

number 15: is 75

number 16: is 56

Step-by-step explanation: 7+8(14−6)+4

=75

2(52)+(2)(3)

=56

Answer for question 15 is 75. Answer for question 16 is 103

Step-by-step explanation:

Follow Pemdas

Answer:

5/8= .625

Step-by-step explanation:

Answer:

5:8

Step-by-step explanation:

N/A

Answer:

x = ¹¹/c

Step-by-step explanation:

Since this is an equation, we move the 4 first and add it to 7, since we are multiplying the x with c when we move the c , and it becomes division.

Answer:

1

Step-by-step explanation:

answer

Answer:

m=-11

Step-by-step explanation:

All you have to do is subtract 3 from both sides and you get -11!

I hope this helps and have a great day!

Answer:

-11 is the answer.

Step-by-step explanation:

Answer:

It's going to be 4

Step-by-step explanation:

If (24 divided by 4) you get 6. So 4 basically is an even number :)

Answer:

Assuming a fair, six sided die, 4 would be expected to come up in one sixth of the trials, so 4 times in 24 rolls.

More formally:

Let X be the number of 4s rolled in 24 independent rolls of a fair six sided die. X is then distributed binomially with parameters n and p.

p = Probability of rolling a 4 = 1/6

n = Number of trials = 24

E [X] = np (by the properties of Binomial distribution)

E [X] = 4

Answer:

$22.82. Explanation: There are 45 total shirts and visors needed, for the 43 players and 2 coaches. So divide each of the total costs by 45 , to see how much each individual person pays:

SHIRT:

658.38/45 =$14.63 per person

VISTOR:

368.51/45 =$8.19per person

Each person is buying a shirt and a visor, so combine these two prices:

14.63+8.19=$22.82per person.

Answer:

[tex]T=0.3142km \\T=0.31km\ to\ 2dp[/tex]

Step-by-step explanation:

Diameter [tex]d=32cm=0.32m[/tex]

Number of rotations [tex]N=100\pi[/tex]

Generally the circumference of the wheel is mathematically given as

[tex]C=2\pi r[/tex]

[tex]C=2\pi (0.32)^2/4[/tex]

[tex]C=1.005309649m[/tex]

[tex]C=1.0m[/tex]

Generally the total distance traveled  T is mathematically given as

[tex]T=N*C[/tex]

[tex]T=100\pi *1m[/tex]

[tex]T=314.1592654m \approx 314.16m[/tex]

Total distance traveled  T in Kilometres

[tex]T=314.1592654m[/tex]

[tex]T=\frac{314.1592654m}{1000}[/tex]

[tex]T=0.3142km \\T=0.31km\ to\ 2dp[/tex]

Answer:

0.8*​x*​(‑5)/​7

Step-by-step explanation:on the qraph

Let width of the rectangle be x.

Therefore ,Length= 3 + 2x

Area= 35

(3+2x)* x =35

3x + 2x^2 - 35 = 0

(2x-7)(x+5)

Therefore x=3.5

Length is 10 and Width is 3.5

Answer:

Area = length × width

90 = (3+2w) × w

w(2w + 3) = 90

2w² +3w = 90

2(w² +3/2w) = 90

Divide both sides by 2

2(w² +3/2w)/2 = 90/2

w² + 3/2w = 45

w² + 3/2w + (3/2•2)² = 45 + (3/2•2)²

w² + 3/2w + (3/4)² = 45 + (3/4)²

w² + 3/2w + 9/16 = 45 + 9/16

(w + 3/4)² = 729/16

Take the square root of both sides

√(w + 3/4)² = √729/16

w + 3/4 = 27/4

w + 3/4 -3/4 = ±27/4 - 3/4

w = 27/4 - 3/4 w = -27/4 - 3/4

w = 6m w = -7.5m

Area = length × width

90 = l × 6m

when x = 6m when x = -7.5 m

l = 90 m²/6m l = 90 m²/-7.5m

l = 15 m l = -12m

We cannot have negative dimension so

A = 90m²

l = 15m

w = 6m

Step-by-step explanation:

Answer:

b. 100

Step-by-step explanation:

180-50-50=80

180-80=100

Answer:

The first term is 3 and common difference is 8.

And

The formula for sequence is: [tex]a_n = -5+8n[/tex]

Function is: [tex]f(n) = f(n-1)+8[/tex]

Step-by-step explanation:

Given that

[tex]a_4 = 27\\a_8 = 59[/tex]

The general formula for arithmetic sequence is:

[tex]a_n = a+(n-1)d[/tex]

Here

a is the first term

n is the term number

and d is the common difference

for 4th term

[tex]a_4 = a+(4-1)d\\27 = a+3d\ \ \ Eqn\ 1[/tex]

For 8th term

[tex]59 = a+ (8-1)d\\59= a+7d\ \ \ \ \ Eqn\ 2[/tex]

subtracting equation 1 from equation 2

[tex]59-27 = a+7d-(a+3d)\\32 = a+7d-a-3d\\32 = 4d\\d =\frac{32}{4}\\d = 8[/tex]

Putting d = 8 in equation 1

[tex]a+3d = 27\\a+3(8) = 27\\a+24=27\\a = 27-24\\a = 3[/tex]

Now for the function

[tex]a_n = a+(n-1)d\\a_n = 3+(n-1)(8)\\a_n = 3 + 8n-8\\a_n = -5+8n[/tex]

The sequence can also be expressed as a function as:

[tex]f(n) = f(n-1) + 8[/tex]

Hence,

The first term is 3 and common difference is 8.

And

The formula for sequence is: [tex]a_n = -5+8n[/tex]

Function is: [tex]f(n) = f(n-1)+8[/tex]

Answer:

-13/4

Step-by-step explanation:

Look for the LCM of both which is 4. 4÷1 ×-4 which is -16

then 4 divided by 4 which is 1 then × 3 which is 3.

now (-16+3)/4 to have -13/4

Answer:

both

Step-by-step explanation:

The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd.

Answer:

Answer down below!

Step-by-step explanation:

First, what you need to do is calculate what 12 x 4 is

That equals 48

Then, calculate what 19 x 7 is

That equals 133

Add those together and that gives you 181

The answer is $181

:D

Answer:

Hope these helps

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

-1230<-220

Answer:

F(2)?

Step-by-step explanation:

Answer:

A: 6.8 is greater than 6.6