the volume of a cylinder is about 1632 in. the height of the cylinder is 24 in. what is the area of the base?

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the price of the shirt

y ---> he price of the pants

we have that

The price of three shirts plus the price of two paints must be equal to $300

so

[tex]3x+2y=300[/tex]

This is the equation of the line in standard form

Convert to slope intercept form

[tex]y=mx+b[/tex]

Isolate the variable y

[tex]3x+2y=300[/tex]

subtract 3x both sides

[tex]3x+2y-3x=-3x+300[/tex]

[tex]2y=-3x+300[/tex]

Divide by 2 both sides

[tex]y=-1.5x+150[/tex] ----> equation of the line in slope intercept form

Find out the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero

Using the Standard Form, identify the x-intercept of the graph

The standard form is

[tex]Ax+By=C[/tex]

The x-intercept is C/A

we have

[tex]3x+2y=300[/tex]

so

[tex]300/3=100[/tex]

The x-intercept is the point (100,0)

That means---> The price of the shirt is $100 when the price of the paints is equal to $0

Alternative method to find out the x-intercept (equation in slope intercept form)

[tex]y=-1.5x+150[/tex]

For y=0

[tex]0=-1.5x+150[/tex]

solve for x

[tex]1.5x=150[/tex]

[tex]x=\$100[/tex]

The x-intercept is the point (100,0)

Answer:

you should give the person who first answered this brainliest

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

We have been given that your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day.

First of all, we will find number of calories you should eat to lose weight by subtracting 1700 calories from 2500 calories.

[tex]2500-1700=800[/tex]

Now, we will find 800 is what percent of 2500.

[tex]\frac{800}{2500}\times 100=0.32\times100=32\%[/tex]

Therefore, your target should be consume 32% of the calories, you are consuming.

Answer:

It's 100x bigger.

Step-by-step explanation:

I divided 400 by 4 and got 100.

To check the work, you multiply 100 by 4.

The number 400 is 100 times greater than 4 when we divide the number 400 by 4.

The fraction is defined as the division of the whole part into an equal number of parts. The fraction is defined as the representation of one number with respect to the other number. or one number is how many times the other number.

Given numbers are 400 and 4. To calculate the times divide the number 400 by 4. The division will be done as below:-

Divison = 400 / 4

Division = 100

Therefore, the number 400 is 100 times greater than 4.

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Answer:

34,879 × 10 = 348,790

Step-by-step explanation:

The answer is 348,790 because 34,879 multipled by 10 is 348,790 as shown in the picture above ^^

Answer:

348790

Step-by-step explanation:

According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 348790 [three forty-eight thousand, eight hundred seventy-nine].

I am joyous to assist you anytime.

Answer:

The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00

Step-by-step explanation:

Let

x ----> the cost of a ribeye steak dinner

y ----> the cost of a grilled salmon​ dinner

we know that

10x+45y=591.99 -----> equation A

24x+15y=583.39 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (18.68,9.00)

see the attached figure

therefore

The cost of a ribeye steak dinner is $18.68 and the cost of a grilled salmon dinner is $9.00

The expression 28(15+9) can be simplified and rewritten using the distributive property as Option D. 28 x 15 + 28 x 9. This is the correct equivalent expression.

To determine which expression is equivalent to 28(15+9), we should first simplify the expression inside the parentheses:

Step 1: Simplify inside the parentheses: 15 + 9 = 24.

Step 2: Multiply by 28: 28 x 24.

Now, let's break it down further:

Using distributive property: 28(15+9) can be rewritten as 28 x 15 + 28 x 9, which will result in distributive multiplication.

Therefore, the equivalent expression is Option D.  28 x 15 + 28 x 9.

Complete question:

Which expression is equivalent to 28(15+9) ?

A. 28 + 15 x 28 +9

B. 28 x 15 +9

C. 28 + 15 + 28 +9

D. 28 x 15+28 x 9

Answer:

Cost of one roll of plain wrapping: [tex]\$5[/tex]

Cost of one roll of holiday wrapping paper:  [tex]\$19[/tex]

Step-by-step explanation:

Let be "p" the cost in dollars of one roll of plain wrapping paper and "h" the cost in dollars of one roll of holiday wrapping paper.

Based on the information given, we can set up this system of equations:

[tex]\left \{ {{5p+13h=272} \atop {11p+16h=359}} \right.[/tex]

In order to solve it, we can use the Substitution method. The steps are:

1. Solve for "p" from the first equation:

[tex]5p+13h=272\\\\5p=272-13h\\\\p=\frac{272-13h}{5}[/tex]

2. Substitute the above into the second equation and solve for "h":

[tex]11(\frac{272-13h}{5})+16h=359\\\\598.4-28.6h+16h=359\\\\-12.6h=359-598.4\\\\h=\frac{-239.4}{-12.6}\\\\h=19[/tex]

3. Substitute the value of "h" into [tex]p=\frac{272-13h}{5}[/tex]:

[tex]p=\frac{272-13(19)}{5}\\\\p=5[/tex]

Answer:

○ D. y - 3 = -⅐(x - 3)

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs.

I am joyous to assist you anytime.

Equation of line is  [tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

where [tex](x_{1},y_{1})[/tex] are coordinates and m is slope.  

How to solve?

Given:- Coordinate  (3,3) and slope [tex]\frac{-1}{7}[/tex]

Equation of line:

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

given  : [tex]x_{1} = 3 , y_{1} = 3 , m = -\frac{1}{7}[/tex]

substituting values, Equation of line is:

y - 3 = [tex]-\frac{1}{7}[/tex] ( x - 3)

[tex]y = - \frac{x}{7} + \frac{3}{7} + 3[/tex]

[tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]

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Answer:

Step-by-step explanation:

To find the slope of a line perpendicular to y = (-4/9)x - 3, take the negative reciprocal of this slope -4/9.  The slope of the new line is thus 9/4.

Now we have this data to work with:  m = 9/4, y = 4 and x = 3.  Subbing this info into y = mx + b, to obtain the value of b, we get:

4 = (9/4)(3) + b, or

4 = 3/4 + b.  Thus, b = 3  1/4, or b = 13/4.

The desired equation is

y = (9/4)x + 13/4.

Answer:

The length and width of the pool area is:

Step-by-step explanation:

Since the 130-foot fence should enclose only three parts of the pool (two wide and one long), equations are performed to express the information provided.

First an equation that says the total feet in the fence:

With these equations, we proceed to replace the second equation in the first one and solve for Y:

Since we already know that the width corresponds to 35 feet, we use the second equation to find the value of X:

With which it is identified that the length is 60 feet.

To find the dimensions of the pool area, we can set up an equation using the given information. Solving the equation, we find that the width of the pool area is 35 feet and the length is 60 feet. Therefore, the dimensions of the pool area to be enclosed are 35 feet by 60 feet.

To find the dimensions of the pool area, we will set up an equation based on the given information. Let's say the width of the pool area is 'w'. According to the problem, the length of the long side is 10 feet less than twice the width, so the length can be represented as 2w - 10. Since Mario needs to fence three sides, we can calculate the total length of the fence as follows:

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Answer:

Undefined

Step-by-step explanation:

The slope of a line parallel to the line x = 5 is undefined because the line would be a straight vertical line. Vertical lines don't have a slope because it is impossible to measure rise/run. Hope this helps!

This is tricky because it has a lot of variables, but we just have to treat this problem normally.

[tex]yp+yn=x[/tex]

separate y from p + n (feel free to check that you can do this by multiplying y out again and seeing that we have the same thing as before)

[tex]y(p+n)=x[/tex]

divide p + n on both sides

[tex]y = \frac{x}{p+n}[/tex]

Answer:

[tex]y = \frac{x}{p+n}[/tex]

To solve the equation yp + yn = x for y, factor out y to get y(p + n) = x, then divide both sides by (p + n) to isolate y, resulting in y = x / (p + n).

To solve the equation yp + yn = x for y, you need to factor y out of the left side of the equation.

This gives you y(p + n) = x.

To isolate y, you then divide both sides of the equation by (p + n), assuming p + n
eq 0, to get y = x / (p + n).

Answer:

Step-by-step explanation:

because the two line segments are the same length-->

12+10-x=18

x=22-18=4

The question aims to determine the value of x for two congruent line segments, typically involving algebraic and geometric methods; however, no specific solution can be provided without the diagram.

The question involves finding the value of x when given two congruent line segments in a diagram. This typically requires the use of algebraic methods or the application of geometric theorems to establish relationships between the lengths represented in the diagram and solve for x.

Without the specific diagram, we cannot provide the direct steps to solve for x.

However, the context suggests the use of equations to calculate lengths. Common strategies include setting equations equal to each other when line segments are congruent and simplifying to find x.

The mention of bisectors and lines intersecting at right angles can also imply the use of properties related to parallel and perpendicular lines or the Pythagorean theorem.

Remember, when equations have two solutions for x, it's necessary to consider which solution is consistent with the geometric context of the problem.

Answer:

If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.

Mathematical signs are very important to take note of when multiplying factors.

According to distributive law, the negative sign will affect the positive sign in the bracket to have -3(2) -3(5) = -6 - 15

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Answer:

van: 18

bus: 59

Step-by-step explanation:

x: students per van

y: students per bus

Highschool A:

x + 6y = 372 / *(-2)

Highschool B:

4x + 12y = 780

-2x - 12y = - 744

2x = 36

x = 18

Replace x in 1 equation

18 + 6y = 372

y = 59

Answer:

A = 3244

B = 864

C = 3080

Step-by-step explanation:

 700 + a = 3944

 -700          -700

a = 3244

 3944 - b = c - 80 = 3000

c - 80 = 3000

  +80       +80

c = 3080

3944 - b = c ---> 3944 - b = 3080

                          -3944        -3944

                               -b = -864 --->  [tex]\frac{-b}{-1} = \frac{-864}{-1}[/tex]

The solution to the system of equations is:

a= 2380,

b= 864

c= 3080

The given equations are:

1. [tex]\(700 + a = 3944 - b\)[/tex]

2. [tex]\(3944 - b = c - 80\)[/tex]

3. [tex]\(c - 80 = 3000\)[/tex]

From equation 3, we can solve for [tex]\(c\)[/tex]:

[tex]\[c - 80 = 3000\][/tex]

Adding 80 to both sides:

[tex]\[c = 3080\][/tex]

Now, substituting this value of [tex]\(c\)[/tex] into equation 2:

[tex]\[3944 - b = 3080\][/tex]

Solving for [tex]\(b\)[/tex] :

[tex]\[b = 3944 - 3080\]\\b = 864\][/tex]

Finally, substituting the values of [tex]\(b\)[/tex] and [tex]\(c\)[/tex]  into equation 1:

[tex]\[700 + a = 3944 - 864\]\\700 + a = 3080\][/tex]

Solving for [tex]\(a\)[/tex]:

[tex]\[a = 3080 - 700\]\\a = 2380\][/tex]

So the solutions for the variables are [tex]\(a = 2380\), \(b = 864\), and \(c = 3080\)[/tex].

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Answer:

6i3√ or 6i√3

Step-by-step explanation:

it takes away the - it is a trick question

Using root properties and complex numbers, it is found that the equivalent expression is:

[tex]6i\sqrt{3}[/tex]

----------------------------------

The most widely used definition in complex numbers is:

[tex]i^2 = -1 \rightarrow \sqrt{-1} = i[/tex]

The expression is:

[tex]2\sqrt{-27} = 2\sqrt{3 \times -9} = 2\sqrt{3 \times 9 \times -1}[/tex]

Applying the property:

[tex]2\sqrt{3 \times 9 \times -1} = 2\sqrt{3}\sqrt{9}\sqrt{-1} = 6i\sqrt{3}[/tex]

[tex]6i\sqrt{3}[/tex] is the equivalent expression.

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Hey!

-----------------------------------------------

[tex]\boxed{ \bf 5n~+~13}[/tex]

-----------------------------------------------

Solution:

Number = n

Multiply a number and five: 5n

Add thirteen: + 13

End Result: 5n + 3

-----------------------------------------------

Hope This Helped! Good Luck!

[tex]\bf y = 3x - 5\qquad \qquad \boxed{(\stackrel{x}{1}~~,~~\stackrel{y}{?})}\qquad \qquad y = 3(\stackrel{x}{1})-5\implies y = -2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (1,-2)~\hfill[/tex]

Answer:

○ D) Need more information

Step-by-step explanation:

We do not have have enough angle measures to know how to solve this, although each interior angle in a pentagon is 108°.

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Answer:

if x=2 (r) then 2x+1=5

Step-by-step explanation:

Considering an "if and if only" type of function then the answer is A. if x=2 then 2x+1=5

Answer:

three hundred and six billion, four thousand, two hundred and ten

Answer: YEP

Step-by-step explanation: -8 makes it -24=16-40, which is -24

I HOPE THIS HELPS. HAVE THE MOST AMAZING WEEKEND EVER CHILD

༼ つ ◕_◕ ༽つ

Answer:

1215 bacteria

Step-by-step explanation:

5 x 3 = 15 (after 30 minutes)

15 x 3 = 45 (after 60 minutes)

45 x 3 = 135 (after 90 minutes)

135 x 3 = 405 (after 120 minutes)

405 x 3 = 1215 (after 150 minutes)

The answer is 19,800

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Answer:

19,837 rounded to the nearest hundred is 19,800

Step-by-step explanation:

so we know that 4 and under we keep the number the same, so the 3 in the tens place means that we keep the 8 ind the hundreds place the same and so that leads us to our answer, 19,800

Hope I helped :)

Kim is 16 and her sis is 8 because 8+8 equals 16 and 8+16 equals 24

Answer:

13 and 23

Step-by-step explanation:

create an equation to solve:

(2x-3) + x = 36

3x - 3 = 36 combine like terms

+3 +3 add 3 to both sides

3x = 39

3 3 divide both sides by 3

x = 13

13 is the first number

the 2nd number is 3 let than twice the first so we create and solve a new equation:

2x - 3 = ?

2(13) = ? substitute 13 from the

smaller number to solve

23 = the 2nd number

Answer:

Option b) (-26,-5)

Step-by-step explanation:

We are given the following information in the question.

The x-coordinate changes from -21 to-16. Thus its value increases 5 units.

The y -coordinate changes from -9 to -13. Thus, it decreases by a value of 4 units.

So to obtain the coordinates in the box:

x-coordinate

We decrease 5 units from -21 that is -21 - 5 = -26

y- coordinate

We add 4 units to -9 that is -9 + 4 = -5

So, the coordinates in the box is given as:

Option b) (-26,-5)

Answer:

42 days

Step-by-step explanation:

1 week equals 7 days

7 × 6 = 42