Kaleb has 45 DVD's in his collection and Eileen has 61. If Kaleb buys 4 new DVD's each month and Eileen buys 2 new DVD's each month, after how many months will Kaleb and Eileen have the same amount of DVD's?

Answers

Answer 1

Answer: After 8 months they will have equal number of DVD's.

Step-by-step explanation:

Given: Kaleb has 45 DVD's in his collection and Eileen has 61.

Let x= Number of months

If Kaleb buys 4 new DVD's each month and Eileen buys 2 new DVD's each month , then

Total DVD's Kaleb has = 45+4x

Total DVD's Eileen has = 61+2x

When they has equal DVD's , then

[tex]45+4x =61+2x\\\\\Rightarrow\ 4x-2x=61-45\\\\\Rightarrow\ 2x=16\\\\\Rightarrow\ x=\dfrac{16}{2}\\\\\Rightarrow\ x=8[/tex]

Hence, after 8 months they will have equal number of DVD's.


Related Questions

At a gas station, the price of gas is $2.40 a gallon. Write an equation using slope-intercept form that relates the total cost, C, to the price per gallon of gas, g

Answers

Answer:

C= 2.40g+0

Step-by-step explanation:

The total cost is reliant on how many gallons of gas the customer buys. If the person bought 8 gallons, you'd plug 8 in for g. 8 times 2.40 = $19.20

Help me find the answer for this question, picture below

Answers

Answer:

600 (I am not sure though)

Simple math question but im stuck on it.
Tell whether the value is a solution of the inequality

Please tell me what to write down

5 - x < 8; x = -3​

Answers

Answer:

no , because 5 - -3 is 8 , which is not less than eight

What is the equation of the line x–3y=18in slope-intercept form?

Answers

Answer:

Y=1/3x-6

Step-by-step explanation:

Answer:

Subtract x from both sides.

-3y = -x + 18

Divide everything by -3.

y = -1/3 - 6

^There ya go. ^

What percent is equivalent to Two-thirds?
O 66 and one-third percent
O 66 and three-fifths percent
O 66 and two-thirds percent
O 66 and StartFraction 7 Over 10 EndFraction percent

Answers

Answer:

66 and two-thirds percent

Step-by-step explanation:

Answer:

The answer is (C) 66 and two-thirds percent

Step-by-step explanation:

                                                 hope it helps

how are the particles in a solid piece of ice organized

Answers

Answer:

The particles in most solids are closely packed together and do not move around. ... Ice is different from most solids because its molecules are not packed as closely together as they are in liquid water. This means ice takes up a little more space than the same amount of liquid water. This is why ice floats.

. Write the equation of the line that contains the point
(4,7) and is parallel to x= 3.

Answers

Answer:

y=3x-5

Step-by-step explanation:

Use point slope form. y-7= 3(x-4)

Simplify: y-7= 3x-12

Simplify more: y=3x-5

Hope this helps!

The temperature at 6 A.M. is -12° F. During the next twelve hours, the
temperature increases 25° F. What is the new temperature?
(help please!!!)

Answers

The answer is 13°F
You can go into your calculator and type in -12 + 25
It will give you an answer of 13
Hope that helped :)

James buys 8 tomatoes that have a combined weight of 4.5 pounds. The scale measures to the nearest hundredth of a pound. What is the most precise value of the average weight of the tomatoes that James purchases, given the level of accuracy of the scale?

Answers

Answer:

Most precise value of the average weight is 0.56 pounds

Step-by-step explanation:

To get the precise value, we start by getting the average weight

That will be total weight/8

= 4.5 pounds/8 = 0.5625

we are told that the scale records to the nearest hundredth

So we need to express the obtained value in hundredths

That will be 0.56 pounds

Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the
number of miles run, y.
(1, 2.5), (2, 4.2), (4,5.6), (6, 7), (8, 8.1), (10, 11)
Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the
nearest tenth of a mile.
miles
O
day 3

Answers

Answer:

4.6

Step-by-step explanation:

The distance run on day 3 is about 5.9 miles.

What is the point-slope form of a line?

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

The data points given are:

(1,2.5), (2,4.2), (4.5,6), (6,7), (8,8.1), (10,11)

Note that the growth seems to be linear, therefore, find a linear equation for the data.

Use (1,2.5) and (2,4.2) to find the slope of the line:

m = (4.2-2.5)/(2-1)

m = 1.7

The equation of the line with slope m = 1.7 and passes through point (1, 2.5) is:

y - 2.5 = 1.7(x - 1)

y = 1.7x - 1.7 + 2.5

y = 1.7x + 0.8

Substitute x = 3 into the above equation:
y = 1.7(3) + 0.8

y = 5.9

Hence, the distance run on day 3 is about 5.9 miles.

Learn more about the point-slope form of a line:

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A box contains 4 red marbles, 7 white marbles, and 8 blue marbles. If a marble is randomly selected from the box, what is the probability that it is white? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

Answers

Answer:

The probability of selecting a white marble is 0.368

Step-by-step explanation:

Given;

number of red marbles, R = 4

number of white marbles, W = 7

number of blue marbles, B = 8

Total number of marbles in the box = 4 + 7 + 8 = 19

The probability of selecting a white marble is given by;

P(W) = 7 / 19

       = 0.368

Therefore, the probability of selecting a white marble is 0.368

what is the equation of the line perpendicular to y=1/2x-3 going through the point P(10,5)?

Answers

Answer:

y=-2x+25

Step-by-step explanation:

the slope has to be -2, becauze in perpendicular lines, the slopes are opposite.

put it into y-y1=m(x-x1) form, which is y-5=-2(x-10)

then get rid of the parenthesis by distribution, which gives you y-5=-2x+20 (-10x-2 gives a positive 20)

then isolate y and balance the equation.

y-5+5=-2x+20+5, which gives you

y=-2x+25

Consider the function g(x) shown below . Find g(2)

Answers

Answer:

g(2)=4

2 is the x value, and g(2) gives you 4 as your y value

point (2,4)

Step-by-step explanation:

I really need help i have asked a lot and i will give thanks and brainlyest i am just so stuck

Answers

Answer:

27864000

Step-by-step explanation:

Do 8.1*10^4 * 3.44*10^2

simplify this expression: (4x-9)-(8x-2), need help !!

Answers

Answer:

-4x - 7

Step-by-step explanation:

Step 1: Define expression

(4x - 9) - (8x - 2)

Step 2: Distribute negative

4x - 9 - 8x + 2

Step 3: Combine like terms

-4x - 7

Evaluate for x = 2. (12x + 8)4

Answers

Answer:

12x + 8) /4

=[12 (2) + 8 ]/4

=[ 24 + 8 ]/4

=32/4

=8

Step-by-step explanation:

\

(12x+8)4

=(12x2 +8)4

=(24+8)4

=(32)4

=128

Which statement describes the function through the points? The function is a direct variation function with a constant of variation of 1.5. The function is a direct variation function with a constant of variation of 1.8. The function is linear but is not a direct variation function. The function is not a linear function.

Answers

Answer:

Correct answer is C

Step-by-step explanation:

The Function is linear but is not a direct variation function

The function is linear but is not a direct variation function.

The correct option is C.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of a line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

As per the information provided:

The points are collinear (i.e. they lie on a straight line), which means that the function is linear. We can find the equation of the line using the two-point form:

(y - 18)/(x - 10) = (30 - 18)/(18 - 10)

Simplifying this equation gives:

y - 18 = 3/2(x - 10)

y - 18 = 1.5x - 15

y = 1.5x + 3

So the function is linear, but not a direct variation function, and has a slope of 1.5.

To learn more about the slope;

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The complete question:

A coordinate plane with 3 points is plotted at (10, 18), (14, 24), and (18, 30).

Which statement describes the function through the points?

The function is a direct variation function with a constant variation of 1.5.

The function is a direct variation function with a constant variation of 1.8.

The function is linear but is not a direct variation function.

The function is not a linear function.

I need the answer in a few minutes so i can answer the next half thank uu
I will name you brainliest :)

Answers

x+8
y-3 or y+(-3)
Explanation: the imagine moved 8 positive spaces to the right then moved down 3 spaces which is considered negative that’s how u get the image

A rectangle has a length of 2x-5 units and a width of x-3 units. What is the area, in
square units, of the rectangle?

Answers

I solved it this way , hope it helps !
If you have any question just comment it !

Which set of ordered pairs represent a function?

Answers

Answer:

B.

Step-by-step explanation:

No number repeats itself in the x value.

B



Hope I helped a bit

Given h(x)=5x-5h(x)=5x−5, find h(2)h(2).

Answers

Answer:

5

Step-by-step explanation:

1) h(x)=(5×2)-5

h(x) =5

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, What is the intersection of the set A and set C? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 6, 7, 9} {1, 2, 3, 4, 5, 6, 7, 9} {3, 5, 6} {3, 5, 6} {1, 2, 3, 5}

Answers

Answer:

[tex]A\,\cap\,C = \{3,5,6\}[/tex]

Step-by-step explanation:

From Set Theory we know that intersection is a binary operation between two sets consisting in labeling the common elements of both sets. If [tex]A=\{1,2,3,4,5,6\}[/tex] and [tex]C =\{3,5,6,7,8,9\}[/tex], then [tex]A\,\cap\,C = \{3,5,6\}[/tex].

−5/6e−2/3e=−24 please help aa (also the slash is fraction)

Answers

Answer:

e = 16

Step-by-step explanation:

−5/6e−2/3e= −24

−e(5/6+2/3) = −24

-e((5+4)/6) = −24

-e(9/6) = -24

-e(3/2) = -24

-3/2e = -24

- e = -24/(3/2)

-e = -16

e = 16

Mr. Romito is a bus driver. He drove the Maple Hills Senior Citizen Group on a 2-day motor trip
through upstate New York. On the first day, he drove 433.4 miles. On the second day, he drove
347.9 miles. How many more miles did he drive the first day than the second day?

Answers

Answer:

85.5 miles more than the first day

Step-by-step explanation:

433.4-347.9=85.5 miles

This is the difference in miles between the first in second day. Also known as how much more miles driven for the first day then the second day.


Which table does NOT describe a function?

Answers

Answer:

c

Step-by-step explanation:

there are two x values

Solve -3 1/2 = 1/2 x + 1/2 x + x.

Answers

Answer:if you are solving for x it would be x=-7/4 or -1 3/4

Step-by-step explanation:

The amount of water a washing machine uses varies directly with the number of loads it washes. If a washing machine uses 28 gallons for 2 loads of laundry, how many gallons would it use for 10 loads of laundry?

Answers

140 por 10 cargas de ropa

140 gallons of water would it use for 10 loads of laundry.

What is meant by the term direct proportional?A direct proportion is an arithmetical comparison of two numbers whose ratio is comparable to a constant value. According to the proportion definition, two ratios are in proportion when they are equivalent. The proportions are indicated by the symbol "∝".

For the given question;

The amount of water a washing machine uses varies directly with the number of loads it washes.

Let amount of water be 'w'.

The number of loads be 'l'

w ∝ l

w = kl

k = proportionality constant.

For, w =  28 gallons

l = 2 loads of laundry

Put in the equation;

28 = 2 k

k = 14

Now, when l = 10 loads of laundry, w = ?

w = 14 × 10

w = 140

Thus, 140 gallons of water would it use for 10 loads of laundry.

To know more about the direct proportional, here

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5[(11-3)]²÷ 2=
simplify the expression ?

Answers

Answer:

11-3=8

8x8=64

64x5=320

320/ 2=160

Step-by-step explanation:

3

4 divided by

9

10

Answers

Answer:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{5}{6}[/tex]

Step-by-step explanation:

Fraction Division

The division of two fractions a/b and c/d is usually done by multiplying the first fraction by the reciprocal of the second fraction:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]

We are required to divide:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}[/tex]

Applying the above rule:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{3}{4}\cdot\frac{10}{9}=\frac{30}{36}[/tex]

Simplifing by 6:

[tex]\boxed{\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{5}{6}}[/tex]

3 TIMES WHAT = TO 90

Answers

Answer:

30 hope this is right yesssir

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