The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

The expressions are algebraic expressions, and the sum of the expressions 3/x and 4/x² is [tex]\frac{3x + 4}{x^2}[/tex]

The expression is given as:

[tex]\frac{3}{x} + \frac{4}{x^2}[/tex]

Take the LCM of the expressions

[tex]\frac{3}{x} + \frac{4}{x^2} = \frac{3x + 4}{x^2}[/tex]

The above expression cannot be further simplified

Hence, the sum of the expressions 3/x and 4/x² is [tex]\frac{3x + 4}{x^2}[/tex]

Read more about sum expressions at:

https://brainly.com/question/4344214

#SPJ4

Answer:

C on edge

Step-by-step explanation:

3x+4/x^2

Answer:

y = 2x² - 24x + 76

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here a = 2 and (h, k ) = (6, 4 ) , then

y = 2(x - 6)² + 4 ← in vertex form

expand factor using FOIL

y = 2(x² - 12x + 36) + 4 ← distribute parenthesis by 2

y = 2x² - 24x + 72 + 4

y = 2x² - 24x + 76 ← in standard form

Answer:

184.68cm

Step-by-step explanation:

19x3.6=68.4

68.4x2.7=184.68

I think the answer is C. and you accidentally put the dot in the wrong place.

Answer:

Im sorry if you get this wrong but it should be the opposite like -3, -2 since its going on the other side for the y axis?

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

im sorry I dont know

Answer:

Step-by-step explanation:

Answer:

C.) 2 units to the right, 5 units up

Step-by-step explanation:

The graph shifts left or right when a number modifies the "x" value before it is affected by any other number/function in the equation. This number is within parentheses with the "x". Subtracting a value moves the function to the right, whereas adding a value moves the function to the left. Therefore, since 2 is being subtracted from "x", the function has been shifted 2 units to the right.

The graph shifts up or down when the y-intercept changes. The y-intercept is the "b" value in a standard function. You can identify this value by plugging in zero to "x". If this number is positive, the function is shifted upwards, and if this number is negative, the function is shifted downwards. Therefore, since there is a 5 added to the equation, the function is shifted 5 units up.

Answer:

193

Step-by-step explanation:

9^2 = 81+181=262-69= 193

The values of s in correspondence with the values of d are as indicated in the answer below.

It follows from the complete task content that the missing values in Raymond's table are required.

From the first row, it follows that 2 MP3 songs goes for 2.58.

On this note, the ratio of d to s; d/s = 2.58/2.

Ultimately, the missing values can be evaluated by just substituting d and s into the equation for each case.

Remarks:

Fill in the table for all missing values of s and d.

Read more on ratios;

https://brainly.com/question/2914376

#SPJ1

The credit card industry and cigarette industry are very similar in terms of negative influence on personal finances.

A credit card is a sort of payment card that uses a line of credit rather than the account holder's cash deposits to make purchases.

Tobacco use can have a negative impact on personal finances due to the sheer high price of tobacco products, wasted pay owing to sickness absence, plus hospitalization rates due to the higher risk of illness associated with smoking use.

If you let that debt grow, you may find that the amount of interest you owe equals or even exceeds your original principal, forcing you to spend a lot just to pay it off.

Thus, the credit card industry and cigarette industry are very similar in terms of negative influence on personal finances.

Learn more about the credit card here:

https://brainly.com/question/27350251

#SPJ1

Answer:

the answer is D

Step-by-step explanation:

Answer:

type this in M

a

t

h

w

a

y

Step-by-step explanation:This

will give the answer promise

Answer:

1029

Step-by-step explanation:

124 + 23 x 10 - 3 = 147 7 =1029

The time Akeem runs on days must be 9.3 minutes or less than 9.3 minutes if the mean running time for 7 days must be 9 minutes or less.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

Akeem will record the time it takes him to run 1 mile each day for 7 days. In order to meet his fitness challenge, his mean running time for 7 days must be 9 minutes or less.

Here we are assuming that it is required to find the time Akeem runs on the 7th day.

Let's suppose Akeem runs x minutes on the 7th day.

Mean running time ≤ 9

The mean:

[tex]\dfrac{(9.4+9.0+9.1+8.9+8.5+8.8+x)}{7} \leq 9[/tex]

[tex]\dfrac{(53.7+x)}{7} \leq 9[/tex]

53.7 + x ≤ 63

x ≤ 9.3 minutes

Thus, the time Akeem runs on days must be 9.3 minutes or less than 9.3 minutes if the mean running time for 7 days must be 9 minutes or less.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ1

Answer:

390625 = 625 x 625

Step-by-step explanation:

calculator

An equation is formed of two equal expressions. Juliet teaches softball for 5.5 hours, while she teaches football for 12.5 hours.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) Let the amount of time spent on soccer be represented by y, while the amount of time spent on softball is represented by x. Therefore, we can write,

x+y=18

y=2x+1.5

Hence, the system of equations to model the situation is x+y=18 and y=2x+1.5.

B.) Substitute the value of y from the second equation in the first equation, therefore,

x+y=18

x+2x+1.5=18

3x = 16.5

x = 5.5 hours

Substitute the value of x in the second equation, we will get,

y=2x+1.5

y=2(5.5)+1.5

y=11+1.5

y=12.5 hours

Hence, Juliet teaches softball for 5.5 hours, while she teaches football for 12.5 hours.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Answer:

[tex] V_{can} = 480\: cm^3[/tex]

Step-by-step explanation:

Answer:

The value of the stock can be found by: x × 1.26.

Step-by-step explanation:

The value of the stock in year one can be found by multiplying x by 1.4. This will represent a 40% increase in value. The following year, the stock decreases in value by 10%; this is represented by multiplication by 0.9. For example, if the value of the stock was $5:

5 × 1.4 = 7                    (A 40% increase in value)

(5 × 1.4) * 0.90 = 6.3   (A further 10% decrease in value)

Rather than writing out the long version, we can simplfify by multiplying 1.4 by 0.9 to get 1.26 .We can also replace 5 with x to get a more general equation.

Answer:

2/13

Step-by-step explanation:

4/14 × 7/13  when i simplify it becomes 2/13!!!

The probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is 2/13.

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of getting a blue marble at the first try is,

Probability(Blue) = Number of blue marbles / Total number of marbles

                            = 4 / 14

The probability of getting a red marble at the second try is,

Probability(Red) = Number of Red marbles / Total number of marbles

                            = 7 / 13

The probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is,

Probability = Probability(Blue) × Probability(Red)

                   = (4/14) × (7/13)

                   = 2/13

Hence, the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first is 2/13.

Learn more about Probability here:

https://brainly.com/question/795909

#SPJ2

The volume of cylinder is 2352π in³ while the volume of cone is 784π in³. The volume of the cylinder is three times the volume of the cone

An equation is an expression that shows the relationship between two or more numbers and variables.

A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.

Volume of cylinder = π * radius² * height = π * 14² * 12 = 2352π in³

Volume of cone = (1/3) * π * radius² * height = (1/3) * π * 14² * 12 = 784π in³

The volume of the cylinder is three times the volume of the cone.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

x = 3

Step-by-step explanation:

7x + 3 = 24 ( subtract 3 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

Answer:

Step-by-step explanation:

1/2 of 1,000,000 is 500,000

the son will get 500,000$

now 500,000 divided by 3(since it's 3 grandkids) is

166666.66, because it's money, and you have to round to the nearest cent.

one will get 166666.67, but it doesn't matter who.

so

grand #1 = 166666.66$

grand #2 = 166666.66$

grand #3 = 166666.67$

Answer:

X+Y=26

X-Y=12

Step-by-step explanation:

fiction books= X

non fiction books= Y

then,

fiction books= X

non fiction books = X-12

but Y= X - 12

from. the statement,

X+Y = 26

X-Y=12

Answer:

2 times the value of 1635 divided by 101.

hope it helps :))

The scale factor of dilation is [tex]\LARGE \frac{1}{4}[/tex].

When describing an enlargement you must state by how much the shape has been enlarged or reduced.

Area of triangle B =[tex]\frac{1}{2} * b *h[/tex]

                                = 0.5 x 2 x 3

                               = 3 units

Area of triangle A =[tex]\frac{1}{2} * b *h[/tex]

                                = 0.5 x 4 x 6

                               = 12 units

Scale factor =[tex]\frac{Area of \; triangle B}{Area of\; triangle A}[/tex]

                    =[tex]\frac{3}{12}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Hence, the scale factor of dilation is [tex]\LARGE \frac{1}{4}[/tex].

Learn more about scale factor here:

https://brainly.com/question/22312172

#SPJ1

An equation is formed of two equal expressions. The given literal equation z=(a/b)+(c/d) is d=cb/(zb-a).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given literal equation z=(a/b)+(c/d) can be solved for D as,

z-(a/b) = (c/d)

(zb-a)/b = c/d

d = cb/(zb-a)

Hence, The given literal equation z=(a/b)+(c/d) is d=cb/(zb-a).

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

[tex]\dfrac 58 - \dfrac 24\\\\\\=\dfrac 58 - \dfrac 48\\\\\\=\dfrac{5-4}8\\\\\\=\dfrac 18[/tex]