A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.

D. f(x)=4 (5/2)^x

Are really good tool for graphing problems is Demos.com

Step-by-step explanation:

Height of real/height of scale=ratio of scale

193/x=75/1

x=2.6

Hope that helps :)

Answer:

choose the 3rd one is the one

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Matrix notation can be confusing, but it's important to remember that systems of equations are typically written as follows:

#x + #y + #z = #

so if there was only one equation it would be written like this:

[tex]\left[\begin{array}{ccc}5&2&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = [16]\\\\5x + 2y + z = 16\\[/tex]

Then just follow the same pattern for the remaining equations

Answer:

can you help me with chemistry? ill help with this if u help with my chemistry

Answer:

4

(if this is a joke then the answer's 5, a fish, etc...)

Answer:

4

Step-by-step explanation:

Answer:

78.36

Step-by-step explanation: The hundredths place is the second number to the right from the decimal. In this case seventy-eight would be 78, and thirty-six hundredths would be the rest of the numbers. 78.36. The "and" also gives you a hint of where the decimal would be.

Answer:

1.0000995e+37

Step-by-step explanation:

Answer: Haha i'm so sorry but i don't know.

Step-by-step explanation: Have a great day!

Answer:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

Step-by-step explanation:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

the last option i believe. sorry if it's wrong

Answer:

It’s B and E

Step-by-step explanation:

Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.

The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Answer:

0.15866

Step-by-step explanation:

Given that:

Mean, m = 22

Standard deviation, s = 2

Sample size, n = 100

P(x < 21.8):

Obtain the Zscore ;

Z = (x - m) ÷s/sqrt(n)

Z = (21.8 - 22) ÷ 2/sqrt(100)

Z = - 0. 2 ÷ 0.2

Z = - 1

P(Z < - 1)

From Z probability calculator :

P(Z < - 1) = 0.15866

Hence, Probability of obtaining a score less than. 21.8 is 0.15866

Answer:

ux=22

sdx=0.2

p(x<21.8)=0.159

just took the test

Step-by-step explanation:

Answer:

a=16 is your correct answer.

Hope it helps!!!

Answer:

8 helpd

Step-by-step explanation:

i know it iv had probability b4

Answer:

x - intercept - ( 10 , 0)

y - intercept - (0 , 8)

Step-by-step explanation:

Answer:

if u mean absolute value it is 5.

the value is always positive an dmeans how far is it from the numberline

Step-by-step explanation:

Answer:

One proportion is 15 songs / 2.5 hours = 18 songs / h hours.

ok I'll try to answer

first the given 15/2.5=18/h

so the second hour is missing so we have to multiply cross then the result will be

15h=45

divide 15 for 15 and we got h

again divide 45 for 15

[h=3]

Answer:

20

Step-by-step explanation:

Just write down the answer.

Answer:

x= 29°

y= 73°

z= 102°

Step-by-step explanation:

x is on the opposite side of the 29° which means it is equal to 29°

In order to find y we can add 29°+78° and subtract it from 180° since all triangles add up to 180°.

This makes y = 73°

In order to find z, we can subtract 78 from 180 since all straight lines are 180 degrees.

This makes z = 102°

Answer:

i think x is 19.2

Step-by-step explanation:

solve x by cross multiplying

Answer:

x=1,y=4

Step-by-step explanation:

x=1,y=4

Answer:

lallalalaal hiiiiii

Step-by-step explanation:

The standard form is written as y = ax ^2 + b + c

Using the given equation:

A = -5, b = 30 and c = 7

The x value of the vertex = -b/ 2/a = -30/2(-5) = -30/-10 = 3

To find the y value replace x with the x value and solve for y:

Y = -5(3)^2 + 30(3) + 7

Y = -45 + 90 + 7

Y = 52

The vertex is (3,52)

The answer is G

Answer:

f(x) = 4*(5/2)^x

Step-by-step explanation:

First, we know that our function has the points:

(0, 4)

(1, 10)

(2, 25)

The first one (0, 4) means that:

f(0) = 4.

Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)

Here we can discard the function f(x) = 15*x - 5 because:

f(0) = 15*0 - 5 = -5

Then this function is discarded.

Now let's look at the second point, (1, 10)

This means that f(1) = 10

Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.

Here we can discard the first function f(x) = (x + 2)^2 because:

f(1) = (1 + 2)^2 = 3^2 = 9

So the output is not 10 as we wanted.

(while for the other two functions we have)

for f(x) = 6*x + 4

f(1) = 6*1 + 4 = 10

for f(x) = 4*(5/2)^x

f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10

Now we use the last point, (2, 25)

This means that when x = 2, the outcome needs to be equal to 25.

For the function f(x) = 6*x + 4 we have:

f(2) = 6*2 + 4 = 12 + 4 = 16

So we can discard this one.

Then we could conclude that the remaining option is the correct one, but let's ceck.

f(x) = 4*(5/2)^x

then for x = 2

f(2) = 4*(5/2)^2 = 4*(25/4) = 25

correct.

Then the correct option is f(x) = 4*(5/2)^x

Answer:

85

Step-by-step explanation:

Answer:

Kageyama x Milk

Step-by-step explanation:

djkdkdkdksksk y u h

Answer:

85.80

Step-by-step explanation:

85.82 is closet to 85.80 snice 2 is a low number

Answer:

a bottle of eye juice lol no explanation

Step-by-step explanation:

Answer:

3/3

Step-by-step explanation:

here ya go