Norma and Albert both clean pools. Each charges a flat fee to clean a pool. Norma cleans 12 pools in 8 hours and earns $270. Albert cleans 9 pools in 7.5 hours and earns $195.75.

Answer:

B). ∠BAC and ∠CAD

C). ∠BAE and ∠EAD

D). ∠EAD and ∠DAC

Step-by-step explanation:

As we know, a linear pair consisting of angles at a single point of the line has a sum of 180° in total. In other words, two supplementary angles together comprise a linear pair. In the given figure, the pair of supplementary angles ∠BAC and ∠CAD, ∠BAE and ∠EAD, and ∠EAD and ∠DAC are the linear pairs as their sum is 180°. Thus, options B, C, and D are the correct answers.

Step-by-step explanation:

EAD ∠BAC and ∠CAD ∠BAE

Answer:

-10 ||10||

Step-by-step explanation:

Answer: up

Step-by-step explanation: good

Answer:

The bench costs $425

And the Table costs $510

Step-by-step explanation:

table + bench = $ 935

$85 + 2b = $935

$935 - $ 85 = $ 850

$850/ 2 = 425 = b

Answer:

Only the third sequence is arithmetic

Step-by-step explanation:

If the sequence has a common difference, then it is arithmetic.  To find the common difference, substract a term from the next term.

First sequence:  

10 - 20 = -10     5 - 10 = -5    The differences are not the same,   so the sequence is NOT arithmetic

Second sequence:

-6 - (-3) = -3     -18 - (-6) = -12   The differences are not the same,   so the sequence is NOT arithmetic

Third sequence:

 10 -  5 =  5     15 - 10 = 5   20 - 15 = 5  The differences are the same,   so the sequence is arithmetic

Fourth sequence:

10 - 5 = 5    20 - 10 = 10   The differences are not the same,   so the sequence is NOT arithmetic

Answer:

$21,807.10

Step-by-step explanation:

Amount ( percent decrease)^time

32,000(0.88)^3 = $21,807.10

Percent decrease = 100 - 12 = 88%

Answer

6 months / the $30 ($5 per month) will be cheaper

Answer:

1) Six months

2) The second plan ($30 sign up fee, $5 per month)

Step-by-step explanation:

1) Six months

We can write an equation such as 30 + 5m = x, where m = months and x = total cost after a certain amount of months. If we know that the first plan costs $12 a month, we can find the LCM of 12 and 30 + 5m, which is 60. If we plug in 60 as m in the equation I showed, we'll get this:

30 + 5m = 60

Solve for x = 6.

2) The second plan

Write the first plan as an equation 12m = x, where m is months and x is the total cost after a certain amount of months. If we plug in 12 for m (since there's 12 months in a year), we'll get 12(12) = x, where x is equal to $144 after a year.

Write the second plan as an equation 30 + 5m = x, where m is months and x is the total cost after m months. Plug in 12 again so our equation looks like

30 + 5(12) = x. Solve for x and get $90 after a year.

Answer: 2x+10 is equivalent but id.k if it was a choice bc u didnt put any

Step-by-step explanation: thx for the points

Answer:

0.0022x

Step-by-step explanation:

Given that,

The credit card company raised her APR from 14% to 15.2%.

Her average daily balance this month is x dollars.

We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :

[tex]y=x\times \dfrac{12\%}{14}-x\times \dfrac{15.2\%}{14}\\\\=x\times \dfrac{12}{1400}-x\times \dfrac{15.2}{1400}\\\\=-0.0022x[/tex]

So, the required increase in the month's finance is 0.0022x.

Answer:

0.001x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So your total is 15. There are 3 vans, and we want to know how many are on each van.

3 (number of people on each van)=15

Number of people are unknown

3x=15

Divide both sides by 3 to solve for x

x=5

Answer:

1.) 18

2.) 55

3.)43

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{dS}{dt}=\frac{3}{50r}[/tex]

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt  = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

Therefore:

[tex]\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}[/tex]

Next, the surface area of a sphere S is given by:

[tex]\displaystyle S=4\pi r^2[/tex]

Therefore:

[tex]\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}[/tex]

We can divide both sides by 2:

[tex]\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}[/tex]

We can substitute this into dV/dt. Rewriting:

[tex]\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)[/tex]

So:

[tex]\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}[/tex]

Since dV/dt = 0.03 or 3/100:

[tex]\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}[/tex]

Therefore:

[tex]\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)[/tex]

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

Answer:

D. 6x(63-3y)

Step-by-step explanation:

You would be multiplying

Step-by-step explanation:

You want to be very carful with the parentheses for this question.

You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.

6 x (63 - 3y)

Answer:

thirty two multiplied by one fourth equals eight

Step-by-step explanation:

Answer:

$21.40

Step-by-step explanation:

7% is equal to .07

multiply .07 times 20

=1.40

add the $1.40 sales tax to the meal price to get 21.40

Answer:

0     7

1     7.20

2    7.40

3    7.60

Step-by-step explanation:

Answer:

-21 - (-14) = -21 + 14 = -7

Step-by-step explanation:

A - and a - make a +. So -21 - (-14) makes -21 + 14. Solve to get -7.

Hope it helps!

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]D = s.t[/tex]

Required

Which represents 400km

This question requires options. Since none were given, I will answer on a general term.

Situation 1:

s = 20km/h and t = 20h

[tex]D = s.t[/tex]

[tex]D = 20km/h * 20h[/tex]

[tex]D = 400km[/tex]

Situation 2:

s = 10km/h and t = 40h

[tex]D = s.t[/tex]

[tex]D = 10km/h * 40h[/tex]

[tex]D = 400km[/tex]

Situation 3:

s = 40km/h and t = 10h

[tex]D = s.t[/tex]

[tex]D = 40km/h * 10h[/tex]

[tex]D = 400km[/tex]

So, all you literally have to do is multiply the values of s and t. If the product gives 400, then; that situation is D = 400

Answer:

where is the paragraph?

Step-by-step explanation:

Answer:

y = 3, y = - 1

Step-by-step explanation:

P is the centroid of the triangle.

Centroid of a triangle divides the median in the ratio 2 : 1

Therefore,

BP : PV = 2 : 1

[tex] \frac{BP}{ PV} = \frac{2}{1} \\ \\ \frac{ {y}^{2} + 1 }{y + 2} = \frac{2}{1} \\ \\ {y}^{2} + 1 = 2y + 4 \\ \\ {y}^{2} + 1 - 2y - 4 = 0 \\ \\ {y}^{2} - 2y - 3 = 0 \\ \\ {y}^{2} - 3y + y - 3 = 0 \\ \\ y(y - 3) + 1(y - 3) = 0 \\ \\ (y - 3)(y + 1) = 0 \\ \\ y - 3 = 0 \: \: or \: \: y + 1 = 0 \\ \\ y = 3, \: \: y = - 1 [/tex]

Answer:

150

Step-by-step explanation:

So first you divide 120 by 4 so you know how much times 4 was increased, 4 was increased by 30 times

Next you multiply 5 by 30 because 4 was multiplied by that much

The answer is 150 girls

Answer:

This function is exponential

Answer:

around 126

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

(-1^2)x 3 = 3

-1 x 4 = -4

3--4 = 7

Answer:

7

Step-by-step explanation:

i have checked, i have spoken

Answer:

48.8 years

Step-by-step explanation:

A=p(1+r/n)^nt

A= total amount

p= initial investment (800_

r/n= annual interest rate over number of years( 2.25)

t= number of years compounded ( annually , biannually, quarterly etc.)

48.8 years