What is an equation of the line that passes through the points (0,2) and (5,8)

Answer:

30 ways

Step-by-step explanation:

The first medal can be awarded in 6 different ways since any of the runners could have it. Once the first medal is awarded, the second medal can only be given to any of the 5 runners available.

So there are 6x5=30 different ways to award the medals

There are 30 ways to award the medals to the winners

The given parameters are:

Runners = 6

Medals = 2

The first position can be awarded to any of the 6 runners, while the second position can be awarded to any of the remaining 5 runners

So, the number of ways is:

Ways = 6 * 5

Evaluate

Ways = 30

Hence, there are 30 ways to award the medals

Read more about combination at:

https://brainly.com/question/11732255

#SPJ5

Answer:

The value of car decreases by 12% each year.

Step-by-step explanation:

A car dealership creates an expression to model the value of a new car t years after it is purchased and the expression is [tex]P(0.88)^{t}[/tex] ..... (1)

Now, if the value of the car depreciates at a rate of r% each year, then the value of the car (Say, P) will be depreciated to the value

[tex]P' = P(1 - \frac{r}{100} )^{t}[/tex] ...... (2)

Now, comparing the expressions in (1) and (2), we get

[tex]1 - \frac{r}{100} = 0.88[/tex]

⇒ [tex]\frac{r}{100} = 0.12[/tex]

⇒ r = 12%.

Therefore, the value of the car decreases by 12% each year. (Answer)

Answer:

Step-by-step explanation:

[tex]5k>22\qquad\text{divide both sides by 5}\\\\\dfrac{5k}{5}>\dfrac{22}{5}\\\\k>4\dfrac{2}{5}\to k>4.4\to k\in(4.4,\ \infty)[/tex]

The equivalent ratios are A and D.

Here's an explanation:

When you look at D, you see that 12 is a multiple of 6, and 16 is a multiple of 8. So you know that it looks like they're equivalent. Then you test it out, 12/2=6. 16/2=8. so 12:16 = 6:8. Eyeballing it first can save time sometimes.

Answer:

1.28

Step-by-step explanation:

I used calculator give me brainlist

Answer:

1.28

Step-by-step explanation:

so 32% is equal to .32 and you can imagine that the word "of" means x(as in multiply). Thus said .32 x 4 is 1.28

Answer:

None

Step-by-step explanation:

A number's absolute value will always be positive

|9| = 9

|-9| = 9

Answer:

Step-by-step explanation:

none

Answer:

x-intercept is 2, y-intercept is 10.

Step-by-step explanation:

y=-5x+10

y=mx+b

-------------

m=-5 which means that the slope of this equation is -5.

And to find the y-intercept,

plug in x=0 into the equation and find out the value of y.

y=-5(0)+10=0+10=10

So the y-intercept is 10.

And to find the x-intercept,

plug in y=0 into the equation and find out the value of x.

0=-5x+10

-5x=0-10

-5x=-10

5x=10

x=10/5=2

So the x-intercept is 2.

Answer: x = 1.5

Step-by-step explanation:

5x - 2 = x + 4

Add 2 to each side

5x = x + 6

Subtract x from each side

4x = 6

Divide each side by 4

x = 1.5

Answer:

x = 3/2

Step-by-step explanation:

5x-2=x+4    (add 2 to both sides)

5x=x+4 + 2

5x=x+6  (subtract x from both sides)

5x - x = 6

4x = 6 (divide both sides by 4)

x = 6/4 = 3/2

Answer:

c

Step-by-step explanation:

turn the percent into a decimal and × by the number you get that number that the percent represents in the number add it to the number and you get the original price

The price which is highest is Option C)

After a 20% discount, the price was $170

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

A)

After a 5 % discount , the price was $ 190

So , the percentage is calculated as

190 / 0.95 = $ 200

B)

After a 10 % discount , the price was $ 180

So , the percentage is calculated as

180 / 0.90 = $ 200

C)

After a 20 % discount , the price was $ 170

So , the percentage is calculated as

170 / 0.80 = $ 212.50

D)

After a 30 % discount , the price was $ 140

So , the percentage is calculated as

140 / 0.70 = $ 200

Therefore , the price $ 212.50 is the highest

Hence , the solution , after a 20% discount, the price was $170 is the highest

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ2

Answer:

A and B

Step-by-step explanation:

C) 9 7/8 - (- 2 4/5) - (- 1/2) =

= 9 7/8 + 2 4/5 + 1/2 (F)

D) - (- 9 7/8 + 2 4/5) - 1/2) =

= 9 7/8 - 2 4/5 - 1/2 (F)

E) 9 7/8 - (- 2 4/5 - 1/2) =

= - 7/8 + 2 4/5 + 1/2 (F)

Answer:

Step-by-step explanation:

Bc bhh

Answer:

m∠y=72°

Step-by-step explanation:

The question is

Find the measure of angle y

step 1

Find the measure of angle x

see the attached figure to better understand the problem

we know that

m∠x=67° -----> by corresponding angles

step 2

Find the measure of angle y

we know that

(m∠x+m∠y)+42°=180° -----> because form a straight line

substitute the measure of angle x

67°+m∠y+42°=180

m∠y+108°=180

m∠y=180°-108°

m∠y=72°

Answer:

f(x) = x³ - 4x² + x + 6

Step-by-step explanation:

The polynomial function f has zeros at -1, 2, and 3.

So, the least degree of the polynomial will be 3{As it has three roots}.

Then, if the function is of x variable then (x + 1), (x - 2) and (x - 3) will be the factors of the polynomial.

Therefore, we can write  

f(x) = (x + 1)(x - 2)(x - 3)

⇒ f(x) = (x + 1)(x² - 5x + 6)

⇒ f(x) = x³ - 5x² + 6x + x² - 5x + 6

⇒ f(x) = x³ - 4x² + x + 6  

Hence, this is the polynomial with least degree having rational coefficients and with leading coefficient of 1 and the zeroes -1, 2, 3. (Answer)

Answer:

2

Step-by-step explanation:

Conversion factor: 1/8

1) Cup = Fluid Ounce / 8

2) Cup = 32 / 8

3) Cup = 4

Answer:

2

There are 4 cups in a 32 fl oz carton, so she needs to get 2 more.

Answer:

0.8

Step-by-step explanation:

Of the 60 sneakers inspected, 48 were acceptable.  The experimental probability is therefore:

P = 48/60

P = 0.8

Answer:

6+10b

Step-by-step explanation:

Answer:

7.325 is larger

Step-by-step explanation:

7.325 is larger becuse 7 is a bigger number than 6 and the decimal point is in the same place so 7.325 will be larger

Answer: 7.325

Step-by-step explanation: 7.325 is larger than 6.425 because it is more positive than the other number. You can see this by looking at a number chart.

Hope this helps, have a BLESSED and wonderful day! :-)

Answer:

the sign =3x

Step-by-step explanation:

you just need to do the step  

sign-2x+2x=x+2x

sign=3x

Final answer:

Keegan rides 8 miles per day going to and from school. Over the course of 5 days, he rides a total of 40 miles on the bus.

Explanation:

The question asks how many miles Keegan rides the bus in 5 days if he travels 4 miles to school and 4 miles home each day. To solve this, we can multiply the daily round trip distance by the number of school days in a week. Keegan travels 8 miles per day (4 miles to school and 4 miles back home). So, in 5 days, Keegan will have traveled:

8 miles/day  imes 5 days = 40 miles

Therefore, Keegan rides the bus 40 miles in 5 days.

Answer:

900

Step-by-step explanation:

2 rounds it down

Answer:

900

Step-by-step explanation

900←927→1000

927-900=27

1000-900=100

Answer:

Part a) [tex]\frac{1}{200}[/tex]

Part b) [tex]\frac{1}{450}[/tex]

Step-by-step explanation:

we know that

A reciprocal of a rational number  [tex]\frac{p}{q}[/tex]  is obtained by changing the numerator and denominator, so the numerator becomes the denominator and the denominator becomes the numerator obtaining  [tex]\frac{q}{p}[/tex]

Part a) we have

200

we know that

the given number can be expressed as [tex]\frac{200}{1}[/tex]

so

changing the numerator and denominator

The reciprocal is equal to [tex]\frac{1}{200}[/tex]

Part b) we have

450

we know that

the given number can be expressed as [tex]\frac{450}{1}[/tex]

so

changing the numerator and denominator

The reciprocal is equal to [tex]\frac{1}{450}[/tex]

Answer:

They are known as terms in algebraic expression

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{72}{12}=\dfrac{72:12}{12:12}=\dfrac{6}{1}=6:1[/tex]

Answer: A

Step-by-step explanation:

Answer:

m=-44/5

Step-by-step explanation:

(7m+12)/8=(2m-1)/3

cross product

8(2m-1)=3(7m+12)

16m-8=21m+36

16m-21m-8=36

-5m-8=36

-5m=36+8

-5m=44

m=44/-5

m=-44/5

Answer:

3x²

Step-by-step explanation:

[tex]\frac{d}{dx}[/tex](x³)

Apply the power rule: [tex]\frac{d}{dx}[/tex](x^a) = a * x^(a - 1):

3 * x^(3 - 1)

Simplify:

3x²

Answer:

Graph C) represents a function.

Step-by-step explanation:

Graph C) is the only graph that passes the vertical line test, a way to determine if a graph is a function. All other graphs do not pass the vertical line test. The vertical line test states that if a vertical line drawn intersects the graph of the relation more than once, then the relation is a NOT a function.

The function is indeed a relationship that has only one outcome for each input value (x-value) and output value (y-value). As a result, all functions could be regarded as relationships. However, not all relations are functions because not all of them satisfy the criterion, so each unique input generates just one output.

Therefore, the final answer is "Option C".

Learn more:

brainly.com/question/4058031

If the unknown is the hypotenuse...

Following pyth. theorem,

x^2=11^2+19^2

x=21.95

If the unknown is a leg other than the hypotenuse...

Following pyth. theorem,

x^2=19^2-11^2

x=15.49