Paloma ran 3 3/4 miles around the school track

Answer:

infinite number of solutions

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

3y = 6x + 9 → (2)

Divide the terms in (2) by 3

y = 2x + 3 → (3)

Since the equations are the same in (1) and (3) , then

The system has an infinite number of solutions

Answer:

35.75

Step-by-step explanation:

Answer:I believe the answer is 12

Step-by-step explanation: if you split the triangle into 2 then you can do 1/2bh then add them. (1/2)(2)(3)+(1/2)(6)(3)=12

Answer:

54000000

Step-by-step explanation:

Answer:

is 54000000

Step-by-step explanation:

I got it right

Answer: You need to buy about 10 cans of paint.

Step-by-step explanation:

Given : Diameter of round swimming pool = 59 ft

Radius = half of diameter

= [tex]\dfrac{59}{2}[/tex] ft

Area of circle = [tex]\pi r^2[/tex] , where r= radius

Area of bottom of pool = [tex]\dfrac{22}{7}\times\dfrac{59}{2}\times\dfrac{59}{2}[/tex]

[tex]=\dfrac{38291}{14}\ ft^2[/tex]

Each can of paint cover 300 ft².

So , Number of cans required to cover 1 ft² = [tex]\dfrac1{300}[/tex]

Number of cans required to cover[tex]\dfrac{38291}{14}\ ft^2[/tex] = [tex]\dfrac{38291}{14}\times\dfrac{1}{300}=9.1169047619\approx10[/tex]

Hence, you need to buy about 10 cans of paint.

Answer:

C. Write the first equation in standard form.

The value of f(6)=64

Given :

The graph of an exponential function .

Explanation :

We need to find out f(6) using the given graph .

To find f(x), first we find out the function f(x) using the graph .

Pick any two points from the graph (0,1) and (1,2)

General form of exponential function is [tex]y=ab^x[/tex]

Substitute (0,1) in general equation

[tex]1=ab^0\\1=a\\a=1[/tex]

Now we plug in (1,2) in the equation

[tex]y=ab^x\\2=1(b)^1\\2=b\\b=2[/tex]

Substitute a=1, b=2 in [tex]f(x)=ab^x\\[/tex]

[tex]f(x)=1(2)^x\\f(x)=2^x[/tex]

To find out f(6), we plug in 6 for x  in f(x)

[tex]f(x)=2^x\\f(6)=2^6\\f(6)=64[/tex]

Learn more :  brainly.com/question/3971260

Answer:

A) The standard form of a linear equation is given as follows;

Ax + By = C

In order to change the above linear equation from standard form to slope and intercept form which is the form y = mx + c, we have;

1) Move the x-variable (and its coefficient) to the right side of the equation as follows;

By = C - Ax

2) Divide both sides of the equation above equation, by the coefficient of y as follows;

By/B = C/B - Ax/B

y = C/B - A/B·x

3) Rearrange the right hand side of the above equation

y = -A/B·x + C/B

The equation given above is in the slope and intercept form, y = m·x + c, where;

m = -A/B

c = C/B

B) Two reasons why it is important to have a slope and intercept form of a linear equation are;

1) The slope and intercept for shows the initial value of the dependent variable, y, when the dependent variable, x is 0 which is the constant term, c, in the equation

2) The slope coefficient term, m, in the slope and intercept form of a linear equation shows the rate of increase of the y-coordinate value with a unit increase in x-coordinate value.

Step-by-step explanation:

Answer:

1 2/4

Step-by-step explanation:

Answer:

no, it won't be enough because you would need $80.06

Step-by-step explanation:

I just found 6.75% of 75 and added it on

Answer:

k = 24

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

7/8 = 21/k

Step 2: Solve for k

Step 3: Check

Plug in k to verify it's a solution.

Here we see that 7/8 does indeed equal 7/8. ∴ k = 24 is a solution.

Answer:

It is not proportional because it does not pass through the origin (0,0)

Answer:

y= -6/5x -3

Step-by-step explanation:

So for now lets bring it into mx + b format

Subtract 6x from both sides to isolate y which is also called subtraction property of equality.

so 5y = -6x -15

Now you divide both sides by 5 which is called division property of equality.

You now have y = -6/5x - 3

y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.

Hope this helps!

Given:

Total number of invited people = 450

Total number of people who accept the invitation = 315

To find:

The percent of the people who accepted the invitation.

Solution:

We need to find 315 is what percent of 450.

[tex]\%=\dfrac{\text{Number of invited people - Who accept the invitation}}{\text{Number of invited people}}\times 100[/tex]

[tex]\%=\dfrac{450-315}{450}\times 100[/tex]

[tex]\%=\dfrac{135}{45}\times 10[/tex]

[tex]\%=3\times 10[/tex]

[tex]\%=30[/tex]

Therefore, 30% of the people accepted the invitation.

Answer:

114

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x), that is

f(7) = 268 - 22(7) = 268 - 154 = 114

Answer:

Step-by-step explanation:

The difference:

Correct choice:

Answer:

a.) 14.5 minutes longer

Step-by-step explanation:

the average travel time for New Yorkers compare to the United States

= 40.0 - 25.5

= 14.5 min. longer

Answer:5m/2

Step-by-step explanation:

3m-m/2

(2×3m-1×m)/2

(6m-m)/2=5m/2

Answer:

18.86

Step-by-step explanation:

8.2 x 4.6 = 37.72

37.72/2 = 18.86

Answer:

18.86

Step-by-step solution:

8.2 * 4.6 = 37.72

divide by two, 18.86

Sorry I couldn't elaborate further, I'm really busy right now. Please contact me if you need any more help and I will be sure to help you more soon.

Your answer should be:

The three significant figures would be the 9, 0, then 1.

Answer:

Step-by-step explanation:

Translation right (or left) means change of the x-coordinate.

Translation down (or up) means change of the y-coordinate.

(3, 8)   →    (3+3, 8-5) = (6, 3)

Answer: b

Step-by-step explanation:

The answer is b because both sides of the table start with zero and both sides of the table have a continues pattern the y side(right). They are increasing by a set # of points(3).

I AM NOT POSITVE ABOUT THE ANSWER, BUT IF I HAD TO GUESS- B WOULD BE THE ANSWER! sorry if its wrong!

answer: 2/3 (or 0.67) cups of cocoa

Step-by-step explanation: since you need to use 1/2 cups of flour for each cup of milk you divide 4 by 2 and you get 2 then you multiply 2 by 1/3 to get your answer

at least that's what i got

9514 1404 393

Answer:

Step-by-step explanation:

If a vertical line can be drawn that goes through 2 or more points on the graph, then it is not a function. That will be the case for the two graphs on the left side of your figure.

The two graphs on the right side pass this "vertical line test," so are functional relationships.

upper left: not a function

upper right: is a function

lower left: not a function

lower right: is a function

Answer:

After n passing, the total number of people knowing the secret [tex]= 2^n[/tex].

After 10 passing, 1024 peoples know the secret.

Step-by-step explanation:

Given that each friend can pass the secret to 2 people.

On 1st pass:

Total number of people knowing the secret = 1+1=2

On 2nd pass:

Total number of people knowing the secret = 1+1+1x2=4

On 3rd pass:

Total number of people knowing the secret = 1+1+2+2x2=8

This can be written as [tex]1+1+2+2^2=1+1+2+2^{3-1}=8[/tex]

Or, [tex]1+S_3=8[/tex], where [tex]S_3=1+2+2^{3-1}[/tex].

So, for the [tex]n^{th}[/tex] pass:

Total number of people knowing the secret = [tex]1+1+2+2^2+\cdots+2^{n-1}=1+S_n, where, S_n = 1+2+2^2+\cdots+2^{n-1}[/tex].

As [tex]S_n[/tex] is the sum of geometric progression of n terms having the first term, [tex]a_1=1[/tex], and the common radio [tex]r=2[/tex].

So, [tex]S_n = \frac{a_1(r^n-1)}{r-1}[/tex]

[tex]\Rightarrow S_n =\frac{1(2^n-1)}{2-1}=2^n-1[/tex].

Hence, after n passing, the total number of people knowing the secret

[tex]=1+S_n = 1+2^n-1=2^n.[/tex]

After, 10 passing, put n=10.

Total number pf peoples know the secret [tex]= 2^{10}=1024.[/tex]

Answer:

17.2

Step-by-step explanation:

Answer:

A.) 6

B.) 24

C.) $60

Step-by-step explanation:

Given that :

Cost of Mango = $2

Purchase of 6 mangoes earns 2 free mangoes

(a) Robin purchased $36.00 worth of mangoes.

How many free mangoes did Robin get?

$36 / price per Mango

$36 / $2 = 18 mangoes

18 / 6 = 3

Hence, free mangoes (3 * 2) = 6 free mangoes

(b) How many mangoes did he get all together?

18 mangoes + 6 mangoes = 24 mangoes

(c) Peter also bought mangoes. He received 40 mangoes. How much did Peter pay?

Set of mangoes purchased:

40/ (6 + 2) = 40/8 = 5 sets of mangoes

Hence, amount paid :

2 * 6 * 5 sets

$60

Answer:

Values if y:

-3

2

7

12

17

22

Answer:

if y= 5x+7 answer is

-3, 4, 7, 10, 22

Step-by-step explanation:

out put = input 5x+7

the u get these answers:

-3, 4, 7, 10, 22

Answer:

c]

Step-by-step explanation:

Answer:

$2,184

Step-by-step explanation:

$6,500 x 2.8% = annual interest

6,500 x 2.8% = $182 annual interest

$182 x 12 years = interest earned in 12 years.

182 x 12 = $2,184