Match each scenario with the appropriate base that would be used to write the exponential equation.

A baseball player gets 16 hits in 40 at bats. What percent of his at bats did not result

Katarina [22]

Answer:

40 percent

Step-by-step explanation:

Now percentage formula

Whatever

- - - - - - - - - - x 100

Total whatever

In this case your whatever is the hits. according to the question, if i said he had 40 hits in 40, that's a 100percent. So... Your whatever is 16, total whatever is 40

16

- - - - - - x 100

40

= 40 percent

6 0

2 years ago

The answer is 288, but i don’t know how to get the answer. please give me an explanation.

andriy [413]

Sorry I don’t know the answer and also sorry about that other comment they are very rude I hope you find someone who actually knows the answer!! ❤️

3 0

2 years ago

Please help with algebra problem

kumpel [21]

Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72

Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243

Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400

Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243

6 0

3 years ago

For what value of x is line m parallel to line n? This is quite urgent.

pishuonlain [190]

Answer:

20

Step-by-step explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures $65^{\circ}$ and $(3x+5)^{\circ}$ are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

$3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20$

6 0

3 years ago

Sarah has $400 in her bank account and she has to pay $15 each month to her parents for her cell phone bill. darius has $50 and

ELEN [110]

They will have the same amount of money after 10 months

They will have $250 at this point

Step-by-step explanation:

The given is:

Sarah has $400 in her bank account and she has to pay $15 each month to her parents for her cell phone bill
Darius has $50 and saves $20 each month from his job

We want to find when Sarah and Darius will have the same amount of money and how much they will have at this point

Assume that they will have the same amount of money in x months

∵ Sarah has $400 in her bank account

∵ She has to pay $15 each month to her parents for her cell phone bill

∵ She do that for x months

∴ Her amount of money = 400 - 15(x)

∴ Her amount of money = 400 - 15 x ⇒ (1)

∵ Darius has $50

∵ He saves $20 each month from his job

∵ He do that for x months

∴ His amount of money = 50 + 20(x)

∴ His amount of money = 50 + 20 x ⇒ (2)

∵ They have the same amount of money in x months

- Equate (1) and (2) to find the value of x

∴ 400 - 15 x = 50 + 20 x

- Subtract 50 from both sides

∴ 350 - 15 x = 20 x

- Add 15 x to both sides

∴ 350 = 35 x

- Divide both sides by 35

∴ 10 = x

They will have the same amount of money after 10 months

Substitute the value of x in (1) or (2) to find the amount of money they will have at this point

∵ The amount of money = 400 - 15(10)

∴ The amount of money = 400 - 150

∴ The amount of money = $250

They will have $250 at this point

Learn more:

You can learn more about word problems in brainly.com/question/13174281

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8 0

3 years ago