Jason swims at a constant speed of 5 feet per second and gets a 30 second head start over Frank. How fast must Frank swim in order to reach 300 yards at the same time that Jason does? Answer numerically in feet per second.

Answers

Answer 1

Answer:

6 ft/s

Hope I helped


Related Questions

sin6x-cos6x=[tex]\sqrt{2}[/tex]

Answers

Condense the right side a single sine expression:

sin(6x) - cos(6x) = R sin(6x - t)

Expanding the right side gives

sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)

Then we have

R cos(t) = 1

R sin(t) = 1

Solve for R and t:

(R cos(t))² + (R sin(t))² = 1² + 1²

R² = 2

R = √2

and

(R sin(t))/(R cos(t)) = 1/1

tan(t) = 1

t = arctan(1) = π/4

So we rewrite the equation as

√2 sin(6x - π/4) = √2

Solve for x :

sin(6x - π/4) = 1

6x - π/4 = arcsin(1) + 2nπ

(where n is any integer)

6x - π/4 = π/2 + 2nπ

6x = 3π/4 + 2nπ

x = π/8 + nπ/3

A Web site charges $0.99 to download a game and a $12.49 membership fee. Write an expression that gives the
total cost in dollars to download g games. Then find the cost of downloading 6 games.

Answers

Answer:

Part A (Equation): C(g) = 0.99g + 12.49

Part B: Total cost of 6 games = $18.43

Step-by-step explanation:

Given the $0.99 charge to download a game, and a membership fee of $12.49:

Part A: Find the Equation of Total Cost, C, and Number of Games (g)

A cost function (or equation) that represents the total cost (C ), in dollars, to download g number of games is:  

C(g) = 0.99g + 12.49

where:

0.99 (cost per downloaded game) = represents the rate of change (or slope). This means that the total cost increases by $0.99 for every game that is dowloaded.  12.49 (membership fee) = the initial value or flat fee (y-intercept).

Part B:  Find the cost of downloading 6 games:

To find the cost of downloading 6 games C(6), substitute the value of g = 6 into the equation:

C(g) = 0.99g + 12.49

C(6) = 0.99(6) + 12.49

C(6) = 5.94 + 12.49

C(6) = 18.43

Therefore, it costs $18.43 to download 6 games.

is the answer i chose correct ?

Answers

Answer:

The answer is "yes. they're similar CDEF ~ QRST, scale factor; 4/3

Step-by-step explanation:

If you multiply 3 by 4/3. The answer will be 12/3 or 4.

If you multiply 6 by 4/3. The answer will be 24/3 or 8.

The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.

Answers

Answer:

The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Step-by-step explanation:

i just did that question like 3 mins ago lol

Liz is a salesperson at a department store. She gets paid an hourly wage plus a 5 percent commission on all her sales. Her pay is given by the formula below.

P = $6h + $0.05k

In this formula, h is the number of hours worked, and k is the dollar amount of sales. Liz worked 36 hours last week and sold $2,700 of merchandise. What was her total pay for the week?

Answers

Answer:

$351.00

Step-by-step explanation:

Our first step in this process is to find what the hours - represented by h - times $6.00 would result in. Since 36 ⋅ 6 results in $216.00, we know that $216.00 + $0.05k = last week's pay for Liz.

Our second step is to find what $0.05 is being multiplied by. We see in the given information that k represents the dollar amount of sales. Therefore, in the second step of this process, we'll be multiplying 0.05 by 2700, which results in $135.00.

We then add $216.00 - the remaining value to be added - to the second value of $135.00, making the answer to this math problem $351.00.

Hopefully this helped a bunch! And tell me if you need any further assistance. ( :

How much change from a $100 bill would you receive if you bought 6 concert tickets at $15.99 each?


$95.94


$15.99


$4.06


$1.23

Answers

Answer:

$4.06

Step-by-step explanation:

4.06
15.99 times 6 is 95.94
so subtract that from 100 and you get 4.06 so C will be you answer :)

If you can wash seven cars in three hours how many cars can you wash in eight hours

Answers

7/3=x/8

7/3 x 8 = x

18.7=x

Hence you can wash 18.7 cars, which does make sense because you can leave cars Half unwashed, hope this helps :)

Steve increases his math average by 9 points over a period of 15 weeks. How many points per week did his average increase?

Answers

Answer:

.6 points per week

Step-by-step explanation:

9/15

14) In triangle ABC angle A measures 68 degrees and angle B measures 72 degrees. If the measure of
angle C is (x+ 10) degrees. What is the value of X?

Answers

Answer:

x= 30°

Step-by-step explanation:

plzz plzz plzz mark as brainliest

Answer:

30°

Step-by-step explanation:

68 + 72 + x + 10 = 180

x + 150 = 180

x + 150 -150 = 180 -150

x = 30

i have 7 bags with 2 marbles in each bags. then my friend have 10 bags with 2 marbles in each bag. how many more marbles does my friend have?

Answers

Answer:

your friend has 6 more marbles

Step-by-step explanation:

7×2=14

10×2=20

20-14=6

Answer:

6

Step-by-step explanation:

First you multiply 7 by 2 because there is 2 marbles in each bag and there is 7 bags so that is 14 marbles

Then you multiple 2 by 10 because there is 10 bags with 2 marbles each which is 20.

20-14=6

Can I get brainliest?

how do you draw the graph?

Answers

Answer:

right

Step-by-step explanation:

draw a line and right a number from 1 to 10

Solve for b.

8b−1=24b+4


Enter your answer in the box.

Answers

Answer:

b=-5/16

Step-by-step explanation:

-5/16.

Work:
8b-1=24b+4
8b-1+1-24b=24b+4+1-24b (add 1 to both sides)
8b-24b-1+1=24b-24b+4+1 (subtract 24 to both sides)
-16y=6 (divide)
y=-16/5

please help please help

Answers

Answer:

35

Step-by-step explanation:

It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.

I hope this helps!!!

Answer:

C)  35

Step-by-step explanation:

The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.

Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.

To find the absolute value of a number do this:

If the number is zero, then its absolute value is 0. |0|= 0

If the number is positive, then the absolute value is just the number. For example, |9| = 9

If the number is negative, then just drop the negative sign. Example: |-3| = 3

Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?

Answers

Answer:

5:4

Step-by-step explanation:

Answer:

5:4

Step-by-step explanation:

To simplify the ratio 15:12, we find the greatest common divisor of 15 and 12, and then we divide 15 and 12 by the greatest common divisor.

The greatest common divisor that you can use to simplify 15:12 is 3. Which means the answer to ratio 15:12 simplified is:

5:4

algebra 2 is really difficult please help me no bogus answers please

Answers

#1

Discount is 40%=0.04x

So the function is

e(s(x))=0.04x

#2

[tex]\\ \tt\hookrightarrow( f\circ g)(x)[/tex]

[tex]\\ \tt\hookrightarrow f(x)g(x)[/tex]

[tex]\\ \tt\hookrightarrow (3x-1)(4x^2+9)[/tex]

[tex]\\ \tt\hookrightarrow 12x^3+27x-4x^2-9[/tex]

Mary earns a weekly base salary of $180. She also receives $25 per item sold. This week
she receives a salary of $530. How many items did she sell?

Answers

Answer:

She sold 14 items

Step-by-step explanation:

530 - 180 = 350

350 / 25 = 14

x°+(x+30)=180°
I need answer​

Answers

Answer:

210 + -1x

Step-by-step explanation:

Simplifying

X + (x + -30) = 180

Reorder the terms:

X + (-30 + x) = 180

Remove parenthesis around (-30 + x)

X + -30 + x = 180

Reorder the terms:

-30 + X + x = 180

Solving

-30 + X + x = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '30' to each side of the equation.

-30 + X + 30 + x = 180 + 30

Reorder the terms:

-30 + 30 + X + x = 180 + 30

Combine like terms: -30 + 30 = 0

0 + X + x = 180 + 30

X + x = 180 + 30

Combine like terms: 180 + 30 = 210

X + x = 210

Add '-1x' to each side of the equation.

X + x + -1x = 210 + -1x

Combine like terms: x + -1x = 0

X + 0 = 210 + -1x

X = 210 + -1x

Simplifying

X = 210 + -1x

What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY

Answers

Answer:

D) (4, -6, -1)

Does the following relationship represent a function?
A. Yes
B. No

Answers

A. Yes answer it’s function correct.

Please help!!!!!!!!!!!!!

Answers

Answer:

can you also send a graph that might help rn

Step-by-step explanation:

Equations in the Form y = ax^2
Guided Practice
Consider these equations.

y=2x^2
y=12x^2
y=−3x^2

How does each differ from the simple quadratic equation y = x^2?

In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.

Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.

Type your answer and then click or tap Done.

First, find the values of 2x^2 by completing this chart. The first is done for you.


x x^2 2x^2

−2 4 8

−1 1 Fill in the blank text field 1

Answers

Answer:

2

Step-by-step explanation:

It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer

I need help on 40 please

Answers

Answer:

A

Step-by-step explanation:

1000 pepperoni pizzas were 40% of total price. 40*2.5=100. That means 1000*2.5 which equals 2500.

THEN c. If a || band line c is parallel to line a, then line b and c are?​

Answers

Answer: parallel

Step-by-step explanation:

For two lines to be parallel they must have the same slope.

Because a is parallel to b they must have the same slope.  Let's call that slope x.

Because c is parallel to b they must have the same slope.  Because the slope of b is x, the slope of c must be x.

Because the slope of both a and c are x, they must be parallel.

PLA HELP PLS PLS PLA

Answers

Answer:

y=3x-1

Step-by-step explanation:

I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)

Diego is planting corn on his farm. He predicts that he will grow 20 tons of corn when he plants 5 acres with corn. Part A Use the information above to complete the table. Number of Acres Planted with Corn Tons of Corn Grown 5 10 15 20 DULL​

Answers

The number of tons of corns grown on the farm is given my a multiple of

the number of acres planted.

The number of tons of corn predicted per 5 acres planted = 20 tons

Therefore, we have;

[tex]\begin{tabular}{ccc}Tons of corn produced per acre\end{array}\right] = \dfrac{20 \ tons}{5 \ acres} = \mathbf{4 \ tons /acre}[/tex]

The completed table is presented as follows;

[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]

Learn more about simple ratios here:

https://brainly.com/question/21751163

Cual es el decimal de 19,87×7,8

Answers

Answer:

92568

Step-by-step explanation:

I think............

Î"RST was _____________, then dilated, to create Î"ZXY. Rotated reflected translated dilated.

Answers

Answer:

5

Step-by-step explanation:

I need help pleaseeeeee

Answers

Answer:

top one is 8x bottom is 9

Step-by-step explanation:

what is the probability that a tabby is chosen as the second kitten when a black kitten was chosen as the first

Answers

0.5/1 it could be 50%

Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4

Answers

Step-by-step explanation:

when you do an arithmetic operation to functions, you do it for the defining expressions.

so,

(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7

(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12

= 4(x² + 4x + 3)

(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13

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