Antione swam 42 laps in 7 minutes. Frank swam 48 laps in 8 minutes. Are
these rates equivalent? Explain your reasoning.
Yes, these rates are equivalent because the unit rate of 9 laps per minute matches
each rate.
No, the unit rates are not equivalent.
O Yes, these rates are equivalent because the unit rate of 6 laps per minute matches
each rate.
Yes, these rates are equivalent because the unit rate of 8 laps per minute matches
each rate.

Answer:

there are multiple answers to the question like 3, 5, and 7

Step-by-step explanation:

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

Step-by-step explanation:

Answer: $78

Step-by-step explanation:

From the question, we are informed that the stock of Company A gained 2% today to $79.56. The opening price of the stock in the beginning of the day will be calculated as:

= [100% / (100% + 2%)] × 79.56

= (100% / 102%) × 79.56

= 1/1.02 × 79.56

= 79.56/1.02

= 78

Therefore, opening price of the stock in the beginning of the day is $78

Answer:

-18y + 7yz - 4z

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

got it right

Answer:

an item marked down 20% to $9.60

Took it on edge Have a splendid day <3

Answer:

4 units

Step-by-step explanation:

C

Answer:

They buy at wholesale and sell at an 80% markup. The retail prices are;

0 - 20 pairs.

= 25 * 1.80

= $45.00

21 - 40 pairs

= 23 * 1.80

= $41.40

41 - 60 pairs

= 21 * 1.80

= $37.80

61 - 80 pairs

= 19 * 1.80

= $34.20

81 or more pairs

= 17 * 1.80

= $30.60

Answer:

0.94secs

Step-by-step explanation:

Given the function below that models the distance of the softball from the ground in meters after t seconds expressed as;

h(t)=-4.9t^2+5t+9

The ball hits the ground when the height h(t) is zero

Substitute h(t) = 0 into the expression and calculate the value of t;

0 = -4.9t²+5t+9

Multiply through by 10;

0 = 49t²+50t+90

-49t²+50t+90 = 0

Factorize;

t = -50 ±√50²-4(49)(90)/2(49)

t = -50±√2500+17640/98

t = -50±√20140/98

t = -50+141.92/98

t = 91.92/98

t = 0.94 secs

Hence it takes 0.94secs for the softball to hit the ground

Answer:

y=1/2x-2

Step-by-step explanation:

Answer:

The correct option is;

(E) P(full time) × P(credit card debt over $5,000)

Step-by-step explanation:

The given parameters are;

The mode of employment of a person = Full time

The amount of debt in the credit card = More than $5,000

The probability that a person works full time = P(full time)

The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)

Therefore, the probability that someone who works full time has more than $5,000 in credit card debt =  P(full time) × P(credit card debt over $5,000)

Answer:

47

Step-by-step explanation:

180 - 133 = 47

Answer:

The measure of x is 47°

Step-by-step explanation:

180°-133°=47°

Answer:

4,100

Step-by-step explanation:

Let x be increase in the price % and f(x) be revenue

Revenue = Sales price*Total number hot dog sold

Hot dog sold = $4/dog

Now when increase in $0.25. Then, Revenue f(x) = (4+0.25x) (500 - 200x)

f(x) = 2000 - 800x + 1250x - 50x^2

f(x) = -50x^2 + 450x + 2000

To maximize revenue, we have to find f1(x) and find the value of x for which f1(x) = 0

f1(x) = -100x + 450

0 = 0100x + 450

x = 4.5

Hence, to maximize profit number of hot dog they sell: 5000 - 200(4.5)

= 5000 - 900

= 4100

Thus, the number of hot dog sold = 4,100

Answer: 3/10

Step-by-step explanation:

2/7= 20/70

3/10= 21/70

Answer:

Option B

Step-by-step explanation:

In order to find the answer you must use the formula for slope, substitute the values, and solve.

[tex]P = (0,2) = (x1,y1)[/tex]

[tex]P=(-10,-16)=(x2,y2)[/tex]

[tex]Slope = \frac{y2-y1}{x2-x1}[/tex]

Substitute:

[tex]Slope = \frac{-16-2}{-10-0}[/tex]

Solve:

[tex]-16-2=-16+-2=-18[/tex]

[tex]-10+0=-10[/tex]

[tex]=\frac{-18}{-10}[/tex]

Reduce:

[tex]18\div2=9[/tex]

[tex]10\div2=5[/tex]

Remember that a negative divided by a positive equals a negative

[tex]=-\frac{9}{5}[/tex]

Hope this helps

Answer:

The answer is D.

Answer:

i did this in Algebra 1

it's D.

Step-by-step explanation:

:)))

Answer:

A function passes the vertical line test when it doesn't hit the same spot twice. If I am correct the answers are below.

Step-by-step explanation:

A)Yes

B)Yes

C)No

D)Yes

E)No

F)Yes

Answer:

I got you it

Step-by-step explanation:

B and have a good day

Answer:

Estimate.

18,185 + 493 = 20,000 + 500 = 25,000

Step-by-step explanation:

18,185 + 493

18,185 rounded to the nearest ten thousand is 20,000

493 rounded to the nearest hundred is 500

Answer:25

Step-by-step explanation: 200/8=25x5=125

Answer:

x=7

Step-by-step explanation:

3(2x - 5) = 9(10 - x)

6x-15=90-9x

6x+9x=90+15

15x=105

x=7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

First, we need to expand the brackets:

[tex]3(2x-5)=9(10-x)[/tex] (equation given)

[tex]6x-15=90-9x[/tex]

[tex]15x -15 = 90[/tex] (add [tex]9x[/tex] on both sides)

[tex]15x = 105[/tex] (add [tex]15[/tex] on both sides)

[tex]x = 7[/tex] (divide by [tex]15[/tex] on both sides)

Hope this helps :)

Answer:

(AD)^2=(AB)^2-(BD)^2

(AD)^2=(15)^2-(12)^2

(AD)^2=225-144

AD=√81

AD=9.

Answer:a

Step-by-step explanation:

Because if you input 5 into -3x as the x axis, that turns in -15, then afterwards, you would add the 5 to -15 which then adds up to -10.

Answer:

x < [tex]\frac{10}{13}[/tex]

Step-by-step explanation:

hope this helps :)

Answer: See explanation

Step-by-step explanation:

1. What is the 5th term of the arithmetic sequence an= 5n + 1 ?

This will be:

= 5n + 1

= 5(5) + 1

= 25 + 1

= 26

2. What is the next 3 terms of the Fibonacci sequence 0, 1, 1, 2, 3, 5,....

Fibonacci sequence means that you'll add the two previous numbers given to get the next number. Therefore, the next numbers will be:

3+5 = 8

5+8 = 13

8 + 13 = 21

The numbers are 8, 13 and 21.

3. What are the missing numbers in the sequence 4, ---,_,_, 64 ?

a = 4

ar^4 = 64

We replace a with 4

4r^4 = 64

r^4 = 64/4

r^4 = 16

r = 2

2nd term = ar = 4 × 2 = 8

3rd term = ar^2 = 4 × 2^2 = 4 × 4 = 16

4th term = ar^3 = 4 × 2^3 = 4 ×✓8 = 32

The numbers are 8, 16 and 32.

4. What is the common ratio of the given sequence 3, -6, 12,-24, 48 ?

Common ratio = 2nd term / 1st term

= ar / a

= -6/3

= -2

5. What is the 10th term of the arithmetic sequence an = 3n - 5 ?

an = 3n - 5

= 3(10) - 5

= 30 - 5

= 25

6. If a1 = 2, d = -2, then what is a 12?

a12 = a + (n - 1)d

a12 = a + (12 - 1)d

a12 = a + 11d

a12 = 2 + 11(-2)

a12 = 2 - 22

a12 = -20

7. What is the common ratio of the given sequence 1000, 500, 250, 125?

Common ratio = 2nd term / 1st term

= 500 / 1000

= 1/2

8. What is the 8th term of the sequence -10, - 8, -6, -4, ...?

a = -10

d = -8 - (-10) = -8 + 10 = 2

8th term = a + (n - 1)d

= a + (8 - 1)d

= a + 7d

= -10 + 7(2)

= -10 + 14

= 4

9. What is the Khmer greetings?

It is a greeting used by Cambodians when they meet and they will say Choum Reap Sur which simply means Hello. Also, when they're leaving they'll Som Pas and then the person will say Choum Reap Lir which mean Goodbye. It should be noted that Don Pas is used by Cambodians to greet and to also show respect for someone.

Answer:

Neuma should have only divided 9 by 9, not 54 by 9

Step-by-step explanation:

i hope it helps and is correct

Answer:

C is the answer

Step-by-step explanation:

Answer:

£2080.00

Step-by-step explanation:

4.2%*4= 16.8%

16.8%*2500= 420

2500-420= 2080

The value of the car after 4 years of depreciation is approximately £2105.80 to the nearest penny.

The rate of depreciation is the percentage by which the value of an asset decreases over time.

To calculate the value of the car after 4 years, we need to apply the depreciation rate of 4.2% to the original value of £2500 for each year.

First, we can calculate the value of the car after one year:

Value after one year = £2500 - 4.2% of £2500

= £2500 - 0.042 x £2500

= £2500 - £105

= £2395

Then, we can use this value as the starting point to calculate the value after two years,

Value after two years = £2395 - 4.2% of £2395

= £2395 - 0.042 x £2395

= £2395 - £100.29

= £2294.71

Similarly, we can repeat this process for the third and fourth years:

Value after three years = £2198.26

Value after four years = £2105.80

Therefore, the value of the car after 4 years of depreciation is approximately £2105.80 to the nearest penny.

Learn more about depreciation rate here:

https://brainly.com/question/16688819

#SPJ6

Answer:

B IS THE ANWSER

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

For this equation you want to start with signing the equation for the best line of fit. You’re going to take your year in and your rabbitsFrom the table and you’re going to find the slope in the Y intercept which would be your MX and you’re B. If you used as most you want to pull up a table in the graphing calculator and into your data there when you get there and the next box under your table you’re going to put y1~mx1+b There it will show you your slope and your intercept along with other things you will need to know for the equation when you get here sleeping when you said you’re going to round to the second decimal place and then you should get y=8.2x-16451.3 Which will be your best line of fit. Now when you’re trying to estimate the number rabbit at the farm In 2016 you want to put your year where X is so you’ll input your 2016 where x is and you should get 8.2(2016)-16451.3From there you solve it and you’re around to the second decimal space and there you have your just wanna sit and your estimate

Answer:

37.7

Step-by-step explanation:

Large circle = [tex]\pi[/tex]r² = [tex]\pi[/tex]5² = 78.54

Medium circle = [tex]\pi[/tex]3²= 28.27

Small circle = [tex]\pi[/tex]2²= 12.57

78.54-28.27-12.57 = 37.7