Keith has $500 in a savings account at the beginning of the summer. He withdraws $25 each week for food, clothes, and movie tickets. He wants to have an account balance of at least $200 in the account at the end of the summer.

Answers

Answer 1

Answer:

You can put this solution on YOUR website!

the inequality is 500 - 25x >= 200

this insures that he will have at least 200 at the end of the summer.

subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x

simplify to get 300 >= 25x

divide both sides of that equation by 25 to get 300 / 25 >= x

simplify to get 12 >= x

12 >= x means x <= 12.

 

when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.

when x = 12, what is left in the account is 500 - 25 * 12 = 200.

when x = 11, what is left in the account is 500 - 25 * 11 = 225.

when x = 13, what is left in the account is 500 - 25 * 13 = 175.

the maximum number of weeks he can withdraw money from his account is 12.

Step-by-step explanation:


Related Questions

Find the gradient of the line that passes through the points
(5, 1) and (2, -5)

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Suppose :

a = ( 5 , 1 ) and b = ( 2 , - 5 )

______________________________________

We have following equation to find the slope of the line using two points :

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Now just need to put the coordinates in the above equation ;

[tex]slope = \frac{ - 5 - 1}{2 - 5} \\ [/tex]

[tex]slope = \frac{ - 6}{ - 3} \\ [/tex]

Negatives simpliflies

[tex]slope = \frac{6}{3} \\ [/tex]

[tex]slope = \frac{3 \times 2}{3} \\ [/tex]

[tex]slope = \frac{2}{1} \\ [/tex]

[tex]slope = 2[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Change y / change x = gradient
-5 - 1 = -6 2-5 = -3

-6/-3 = 2 so

gradient = 2

I was absent for a while and have no idea what the heck is going on yes I said heck but id love the help Will mark the branlyiest.

Answers

Answer: what do u need help in ?

Step-by-step explanation:

A middle school contains sixth, seventh, and eighth graders. Each grade level contains approximately the same number of students. The principal wants to find the answer to a survey question affecting each student in the school. He asks a sample group "What time do you get up in the morning?" Which of these characteristics define the best sample?

Answers

Answer:

the options are missing, so I looked for a similar question and found these options:

one student chosen at random from each grade level an equal number of students chosen at random from each grade level the first 10 students from each grade level to arrive at school in the morning all students arriving on one bus

the answer is: an equal number of students chosen at random from each grade level

Step-by-step explanation:

A good sample must be random and representative of all the population. In this case, the population is all the kids that go to middle school. A good sample would need to be taken at random and all the students should have equal opportunity to be chosen, and the three grades must be included in the same proportion.

Answer:

one student chosen at random from each grade level

(A)

Step-by-step explanation:

how do I factor trinomials of a form ax^2+bx+c when a=1

In one paragraph

Answers

Answer:

Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

[tex]ax^2+bx+c[/tex]

As

a = 1

so

[tex]x^2+bx+c[/tex]

Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.

For example,

[tex]x^2+7x+10[/tex]

[tex]=\left(x^2+2x\right)+\left(5x+10\right)[/tex]

[tex]=x\left(x+2\right)+5\left(x+2\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]

[tex]=\left(x+2\right)\left(x+5\right)[/tex]

Therefore, Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.

Write an equation of a line in standard form. (2,7)=-4

Answers

Answer:

i need points

Step-by-step explanation:

Which graph shows a function where f(2) = 4?

Answers

Answer:the graph should look like this

Step-by-step explanation:

Which of the following is the value of expression 3y+5(x-8) when x=11 and y=2

Answers

Answer:

y=2

Step-by-step explanation:

that is it!!! I hope I'm correct..

Answer:

21

Step-by-step explanation:

Given

3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression

= 3(2) + 5(11 - 8) ← evaluate parenthesis

= 6 + 5 × 3

= 6 + 15

= 21

what is the size of the matrix resulting from [4 -1 0]×[2 1 0]​

Answers

It would be 1 by 3

Since [4 -1 0] and [2 1 0] are both 1 by 3, the result should be the same since they match up.

also im learning the same thing right now lol

Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

lcm??????????

Answers

Answer:

LCM is 36

Step-by-step explanation:

9 x 4 = 36

12 x 3 = 36

Write a fraction that is equivalent to 3/5
that has a denominator of 20.

Answers

Answer:

12/20

Step-by-step explanation:

Please help :(

Find the standard deviation of the set of data below to the nearest tenth.

14,11,9,6,10,16,15,13,9,12,19,10

Answers

Answer:

3.4 nearest tenth

Step-by-step explanation:

Standard Deviation, σ: 3.4399612400917

Count, N: 12

Sum, Σx: 144

Mean, μ: 12

Variance, σ2:  11.833333333333

Steps

σ2 =  Σ(xi - μ)2

N

=  

(14 - 12)2 + ... + (10 - 12)2

12

=  

142

12

=  11.833333333333

σ =  √11.833333333333

=  3.4399612400917

Hope this helps ya!

Sorry this didn't have the symbols I needed so that's why it's a little confusing.

A group of college students developed a solar-powered car and entered it in a race. The car travels at a constant speed of 100 meters per 4 seconds. A solar-powered car on a racetrack.
A. What representation can show the distance the car will travel over time?
B. What expression can show the distance the car will travel over time?
C. Compare the representation and the expression. Which shows the distance traveled over time more clearly? Explain.

Answers

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

Which rate has the same unit rate as 126 miles in 9 hours.
would it be
a 96miles in 6 hours
b 42 miles in 3 hours
c 80 miles in 5 hours
d 112 miles in 7 hours

Answers

Answer: THE ANSWER IS C

Step-by-step explanation:

Ram has three times as many Rupees to coins as he has rupees 5 coins if he has in all a sum of rupees 77 how many coins of Rupee 2 does he have​

Answers

9514 1404 393

Answer:

  21 coins of ₹2

Step-by-step explanation:

Let x represent the number of ₹2 coins, and y the number of ₹5 coins. Then the total value of the coins is ...

  2x +5y = 77

and the relationship between numbers of coins is ...

  x = 3y

Substituting for x, we have ...

  2(3y) +5y = 77

  y = 77/11 = 7 . . . . simplify, divide by the coefficient of y

  x = 3(7) = 21 . . . . find x from the second equation

Ram has 21 of the ₹2 coins.

If n = 5.3 cm and p = 6.25 cm, what is the measure of angle ?

Answers

Answer:

Hope this helps can I get brainliest I need to rank up :))))

Step-by-step explanation:

32° ... If he is standing 15 feet from the base of the pole, about how tall is the.

Answer:

58

Step-by-step explanation:

A company makes wax candles shaped like rectangular prisms. Each candle is 4 cm long, 3 cm wide, and 10 cm tall. If the company used 4080 cm of wax, how many candles did they make?

Answers

Answer:

34

Step-by-step explanation:

You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.

En un grupo de 51 alumnos se realizo una votación para elegir al jefe de grupo entre tres candidatos: Cesar, Karina y Sebastián, los cuales no podrán participar en la votación se sabe que Sebastián obtuvo la mitad de votos que obtuvo Cesar y Karina obtuvo 8 votos menos que él. Si hubo 6 abstenciones. ¿Cuántos votos obtuvo cada uno de ellos?.

Answers

Answer:

25 cesar 4.5 karina 12.5 sebastian

Step by step explanation:

42.

25

12.5

4.5

Step-by-step explanation:

When you divide 2 negative numbers, the quotient is_______.




A. zero


B. positive


C. negative


D. not enough information

I will make brainiest whoever answers first!!!!!!!!

Answers

positive because a negative and a negative will always make a positive
B is the answer udjfhfhfjdjdhdhzhhxbxbxbxnxnxjd

please help will give brainiest

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex]percent \: \: of \: \: boys = \frac{42 - girls}{42} \times 100 \\ [/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤

42-35 = 100
42


42 is the total and 35 are the girls on the class band.

Hope this helps :D

If f(x)=5x+11 then f^-1(x)=

Answers

Answer:

f^-1(x) = (-1/5)x - 11/5

Step-by-step explanation:

f^-1(x) is the inverse so it must be

f^-1(x) = (-1/5)x - 11/5

Answer:

i do not got the full answer but i think you start from here

f(x)=-5x-11

y=-5x-11

x=-5y-11

x+11=-5y

answer is r+11

                 -5 or  (-1/5)x - 11/5

Step-by-step explanation:

brainlest

If you’re super bored and not dry click here!

Answers

What nehejwiwiwkssmsnnas

Answer:

........

Step-by-step explanation:

Find the new price for the markdown. Round to the nearest cent if necessary. $12.99 marked down 25%

Answers

$9.74

I like to do these equations backwards and multiply the first number by the opposite of it. ( think 1- the percent as a decimal) however, you can do this by converting the percent into a decimal and then subtracting that from the original number.

Have a great day!

Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function

h(t) = –1672 +64t + 100, where represents time, in seconds.

Approximately how long did it take the ball to reach the ground (h=0)?

Answers

Answer:

5.2seconds

Step-by-step explanation:

Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function

The modeled function is given as

h(t) = –16t^2 +64t + 100,

We can see this is a quadratic equation, we can solve using quadratic formula, Below

= -b±(√b^2 -4ac)/2a

Where

a=-16, b=64, c=100

FROM THE ATTACHMENT

We have too answers t= -1.20s and t=5.20s

Therefore,it take 5.20s for the ball to reach the ground (h=0). Because "t" cannot be negative here

CHECK THE ATTACHMENT FOR THE QUADRATIC SOLUTION

Is this correct, i did 21.5 times 33.6 and converted it to yards to the nearest tenth and i got 80.3

Answers

Answer:

Thats what i got too :)

Step-by-step explanation:

You have the correct answer. It is 80.3 square yards.

Work Shown:

Area of parallelogram = length*width = 21.5*33.6 = 722.4 sq ft

1 yard = 3 ft

1 sq yd = 9 sq ft ... square both sides

To convert from square feet to square yards, we'll divide by 9

This is the same as multiplying by 1/9

722.4 sq ft = (722.4 sq ft)*(1 sq yd/9 sq ft)

722.4 sq ft = (722.4)*(1/9) sq yards

722.4 sq ft = 80.2667 sq yards

722.4 sq ft = 80.3 sq yards

Mr. Smith is paid $9.50 per hour for fixing watches. write an expression for the amount of money Mr.smith earns in h hours.

In addition to his hourly rate, Mr. smith is paid $2.20 for each watch he fixes. Write an expression for his income if he fixes r watches per hour.

Answers

Answer:

9.5h, 2.2r+9.5h

Step-by-step explanation:

Answer:

B & D

TRUST ME IT'S CORRECT I GUESSED AND GOT IT RIGHT

What is the solution to this inequality?

-13x < 65

Answers

Answer:

x > -5 or x = (-5, + oo)

Step-by-step explanation:

-13x < 65x > - 65/13x > -5x = (-5, + oo)

Explain why 49 has two possible square roots

Answers

Answer:

Every positive number has 2 square roots, one positive and another one is negative. Square root of 49 is ±7, because you can obtain 49 by multiplying two 7's or two (-7)'s.

Step-by-step explanation:

Answer:

49 has 2 possible square roots +7 and -7

Step-by-step explanation:

49 has 2 possible square roots because 7x7=49

And -7 x -7 = 49

A negative times a negative equals a positive, so when you take the square root of 49, it is impossible to tell if 49 was the result of -7 x -7 or +7 x +7. Therefore, the square root of 49 has two possible answers.

how do you write 8.4 in scientific notations

Answers

Answer:

To write as a scientific notation in this problem, just make something 0.0 x 10n

In this case, this is 8.9. Then, think about how many 10s have to be multiplied to make 8900.

It's three!

Move the decimal point left  to 3 places to make 5.78. Then, n is the number of decimal places you moved:3

Same goes to the case 0.034. You need to make something 0.0 x 10n

Hence, move the decimal point right to 2 places to make 3.4. How many decimal places did you move?Two!

But because you went right to make it from 0.034 to 3.4, n becomes -2(the number got 100 times smaller).

Just don't forget to add that negative sign after you have solved a problem involving a number smaller than 1.

Step-by-step explanation:

Hope this helps you.

:)

Please help me! IT WOULD BE AMAZING IF YOU CAN!

Answers

Answer:

x<3 or x>5

Step-by-step explanation:

doesn't equal when there are open dots and x must be greater than 5

Which of the following must be true in order to write a bi-conditional statement?

A.) the conditional statement
B.) both the conditional statement and its converse
C.) the converse of the conditional statement
D.) neither the conditional statement nor its converse

Answers

Answer: B.) both the conditional statement and its converse .

Explanation: In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.

The required solution is both the conditional statement and its converse.

It is required to choose the correct statement.

What is conditional statement ?

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Given:

In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.

Biconditional Statement Examples:

The polygon has only four sides if and only if the polygon is a quadrilateral.

Therefore, the required solution is both the conditional statement and its converse .

Learn more details about conditional statement here:

https://brainly.com/question/18152035

#SPJ2

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