7. If the perimeter of the rectangle is 6x + 18, then what is the length of the rectangle? (level 4)
x + 5
length

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.

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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.

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Step-by-step explanation:

4(5 + x) = 2x + 2

that is my understanding of the given problem.

if you made a typo, please adapt the following solution.

4×5 + 4×x = 2x + 2

20 + 4x = 2x + 2

20 + 2x = 2

2x = -18

x = -9

I found the answer for you

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.

Hi Student!

In the problem statement we are given a number of 0.38 meters which it then tells us to write and solve an equation to convert that to centimeters.  The first step would be to write an equation that would perfectly incapsulate what we are trying to do.

[tex]x = meters\ *\ \frac{100\ centimeters}{1\ meter}[/tex]

This equation can now be used for any amount of meters where we can input the amount of meters that we have and that will cancel with the meters on the bottom while multiplying by 100 to which we then will receive our value of x in centimeters.  Let's solve the equation using 0.38 meters.

Input the values

Cancel the meters

Simplify the expression

Therefore, our final answer is that 0.38 meters can be converted to centimeters which would then get 38 cm as the result.

Answer:

About 26.67 percent.

The solution of the system of equation are (1,8) and (0, 6)

-2x² + y = 6

4x² + 3y = 28

Therefore,

-4x² + 2y = 12

4x² + 3y = 28

5y = 40

y = 40 / 5

y = 8

Therefore,

-2x² + 8 = 6

-2x² = -2

x² = 1

x = 1

2(0)² + y = 6

y = 6

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Answer:

D. (-1, 8) and (1,8)

Step-by-step explanation:

I took the math exam

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:

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

Step-by-step explanation:

The equation 11x + 10y = 32 is a linear equation, and the solution to the linear equation 11x + 10y = 32 is [tex]y = \frac{32 - 11x}{10}[/tex]

The equation is given as:

11x + 10y = 32

Subtract 11x from both sides

10y = 32 - 11x

Divide both sides by 10

[tex]y = \frac{32 - 11x}{10}[/tex]

Hence, the solution to the linear equation 11x + 10y = 32 is [tex]y = \frac{32 - 11x}{10}[/tex]

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Answer: [tex]2x+4y[/tex]

Step-by-step explanation:

[tex]2*(x+2y)[/tex]

[tex](2x+3y)+y[/tex]

Apply rule: [tex](a)=a[/tex]

[tex](2x+3y)=2x+3y[/tex]

[tex]=2x+3y+y[/tex]

Add similar elements: [tex]3y+y=4y[/tex]

[tex]=2x+4y[/tex]

[tex]2x+4y~is~the~answer[/tex]

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:

7yd^2

Step-by-step explanation:

Calculate for volume as if its 1yd for cube, divide it by a third because each cube is 1/3 of a yard, square it.

Result: 7yd^2

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

The slope of the line through ( -2 , -5 ) and ( -6 , 7 ) is -3

Correct option is

Slope of the line [tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]x_1=-2,y_1=-5[/tex] and [tex]x_2=-6,y_2=7[/tex]

∴ [tex]m=\frac{7-(-5)}{(-6)-(-2)}=\frac{12}{-4}=-3[/tex]

Therefore, the slope of the line through ( -2 , -5 ) and ( -6 , 7 ) is -3

The objective function of the printing company in a bid to minimize cost is; p = 25x + 20y.

The objective function in a linear programming problem is the real-valued function whose value is to be either minimized or maximized dependent on the constraints defined on the given linear programming problem over the set of feasible solutions. The objective function of a LPP is a linear function of the form z = ax + by in which case, z is the parameter to be optimised.

It therefore follows from the complete question that the objective function is; p = 25x + 20y. This follows from the fact that Supplier X charges $25 per case. Supplier Y charges $20 per case and the parameter to be optimised is price.

Remarks;

The complete question is as follows;

A printing company orders paper from two different suppliers. Supplier X charges $25 per case. Supplier Y charges $20 per case. The company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from Supplier X. The company needs no more than 2 times as many cases from Supplier Y as from Supplier X. Let x = the number of cases from Supplier X and y = the number of cases from Supplier Y.

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Answer:

D

Step-by-step explanation:

right on edge

Answer:

50%

Step-by-step explanation:theres only 2 sides on a coin

Answer: 50% , as likely as not .

Step-by-step explanation:

The probability of a 2 on the die is 1/6. The probability of a heads on the coin is 1/2. That means that (on average) half the time you roll a 2 you'll also get heads and the other half you'll get tails. What's half of 1/6?

The possibilities are:

1H 2H 3H 4H 5H 6H

1T 2T 3T 4T 5T 6T

So, it's 1/12 that you'll get a 2 and heads (on average).

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

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:

30%

Step-by-step explanation:

percent decrease = (new - old) / old * 100 = (3934-5620)/5620 * 100 = 30%

Answer:

390625 = 625 x 625

Step-by-step explanation:

calculator

Answer:

the answer is D

Step-by-step explanation:

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: 20

Step-by-step explanation:

Answer:

the leading coefficient of a polynomial is the coefficient of the term with the highest degree of the polynomial

so the answer should be the second one -7+6x+5x^2

Answer:

im sorry I dont know