(a) A cylindrical glass jar whose height is 7 inches and whose diameter is 4 inches. Find the
capacity of the jar.

Step-by-step explanation:

let Irene's share be x and Charlie's share be y

x=2y-8

x+y=$47.50

x=$47.50-y

$47.50-y=2y-$8

$47.50+$8=2y+y

$55.50=3y

y=$55.50/3

y=$18.50

x=$47.50-$18.50

x=$29

Answer:

Irene's share = 29

Charlie's share = 18.5

Step-by-step explanation:

R bill = 47.5

Irene's share = (2 × Charlie's share )-8

Irene's share = y

Charlie's share = x

bill = x + y = 47.5

y = 2x -8

x + 2x - 8 = 47.5

3x = 47.5 + 8= 55.5

x = 18.5

y = 29

The scale factor that the drawing use is 3/1000.

From the information, Colleen made a scale drawing of a house and she used the scale 3 millimeters = 1 meter.

It should be noted that 1000 millimeters = 1 meter

Therefore, the scale factor that the drawing use is:

= 3 millimeters / 1 meter

= 3/1000

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the rate of change of the linear equation in the table is 120.

Remember that for any linear equation with an slope (also called rate of change) s and it passes through the points (a, b) and (c, d), then the slope can be written as:

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

Using that relation and the first two points on the table (0.5, 60) and (1.5, 180)

We get that the rate of change is:

s = (180 - 60)/(1.5 - 0.5) = 120

So the rate of change is 120.

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The actual width of the field 80 yard. when proportion is 3 : 2.

What in mathematics is a proportion?

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

We have the proportion  

                            3/2 = 120/w

where in the numerator are the length and in the denominators the width of the field.

Now ,                        3 . w = 120 . 2

                                  3w = 240

                                    w = 80

Therefore , the actual width of the field 80 yard.

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The two representations are:

x > 5

A number line with an open circle at 5 and a line that points to the right.

We start with the inequality:

-3(2x - 5) < 5*(2 - x)

First, we need to solve this for x, expanding both sides we get:

-6x + 15 < 10 - 5x

Now we move the terms with x to the right side and the terms without to the left side.

15 - 10 < 6x - 5x

5 < x

This is a representation of the inequality.

The other will be a graph, to graph this on a number line we need to do an open circle at x = 5, and shade the region to the right (because x is larger than 5).

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The point slope form are as follows:

The point slope equation can be represented as follows;

y - y₁ = m(x - x₁)

where

Therefore, (5, 2)(-1, -6)

m = slope = -6 - 2 / -1 - 5

m = slope = -8 / - 6

m = slope = 4 / 3

Therefore, using (5, 2) the point slope form is represented as follows;

y - 2 = 4 / 3(x - 5)

using (-1, -6) the point slope form is represented as follows;

y + 6 = 4 / 3(x + 1)

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Answer:

m-6

Step-by-step explanation:

this is what I think it it

The net change between the indicated points is -1 and the average net change is  - 0 . 75 .

The difference between the two f(x) values is the net change.

The ratio between the net change and the change between the two input values is used to calculate average net change or average rate of change. The average rate of change can be calculated using the same two points and the formula: f(b)-f(a) / b-a .

The two given points on the graph are (1,4) and (5,1)

The net change is given by the change in the y -coordinates of the graph .

Δy = y₂ - y₁

Here y₂ = 1

and y₁ = 4

Therefore Δy = y₂ - y₁ or, Δy = 1 - 4 = - 3

Hence the net change is -3 units.

Now the average net change is calculate by the change in y divided by the change in x.

average net change  = Δy ÷ Δ x

again , average net change = -3 ÷ ( 5 - 1 ) = - 0 . 75

The average net change for the function is  - 0 . 75

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Answer: C) y=12/5x

Step-by-step explanation:

Divide 12 messages by 5 posts to find out how many messages you would receive for just posting 1 message (2.4)

Then determine how many times it goes into 96 (2.4 x 40 = 96)

Answer:

The first option (a) is the most approximate

Step-by-step explanation:

The area results:

a = 161.91315 = 162

[tex]e^{5} =148.4[/tex]

then

[tex]14+e^{5} =14+148.4=162.4[/tex]

Hope this helps

9 squares should be shaded to represent the male penguins with red eyes.

Percentage is a fraction or a ratio in which the value of whole is always 100.

Given:

45% of the penguins are male, and 55% are female.

20% of the time, male penguins are born with red eyes,

and 30% of the time, females are born with red eyes.

To find the squares should be shaded to represent the male penguins with red eyes we have to perform the following step

20% of 45

=0.2* 45

=9

Hence, 9 squares should be shaded to represent the male penguins with red eyes.

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Answer:

9 blue squares should be shaded

Step-by-step explanation:

20% of 45 = 9

If the point J (5,3) is rotated 90° counterclockwise around the origin, then the coordinates of the resulting point J' will be (-3, 5).

As per the question statement, a point J (5,3) is rotated 90° counterclockwise around the origin.

We are required to determine the coordinates of the resulting point J'.

To solve this question, we need to follow a rule of cartesian coordinate geometry which is, "If a point (x, y) is rotated 90° counterclockwise around the origin, then the coordinates of the new point lie on (y, -x).

Here, Coordinates of the original point (J) are (5, 3), i.e.,

(x = 5) and (y = 3).

Therefore, Coordinates of the resulting point (J') after J (5,3) is rotated 90° counterclockwise around the origin will be:

[x' = (y) = 5] and [y' = (-x) = (-3)], or, (-3, 5).

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The standard form for the Parabola is given as

[tex]y=-\frac{1}{7} x^2+\frac{6}{7} x+\frac{33}{7}[/tex]

This is further explained below.

Generally, the equation for is  mathematically given as

x^2-6 x+7 y-33=0

Solve for y.

Move all terms not containing y to the right side of the equation.

7 y=-x^2+6 x+33

Divide each term into 7 y=-x^2+6 x+33 by 7 and simplify.

[tex]y=-\frac{x^2}{7}+\frac{6 x}{7}+\frac{33}{7}[/tex]

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

y=a x^2+b x+c

Reorder terms.

[tex]y=-\left(\frac{1}{7} x^2\right)+\frac{6}{7} x+\frac{33}{7}[/tex]

[tex]y=-\frac{1}{7} x^2+\frac{6}{7} x+\frac{33}{7}[/tex]

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Answer:

3(2a+7)

You find the common multiple and then distribute.

Answer:

See below

Step-by-step explanation:

From 2 minutes to 5 minutes the pump puts in (200-110) = 90 gallons ...in 3 minutes....so the rate of the pump is    30 gal / min

   at two minutes the pump has put in 30 x 2 = 60 gallons......so there was 50 gallons in the tank to start ( 50 + 60 = 110)

the equation becomes :

   G = 50  +  30 t    

               where t = minutes

   and 50 is the initial volume in the tank

For 13 minutes      G = 50 + 30 (13) = 440 gallons

For 890 gallons      890 = 50 + 30 t

                                840 = 30 t

                                   t = 28  minutes

t intercept occurs when  G = 0

                         0 = 50 + 30 t

                             t = - 5/3   minute    <====this is the amount of time before measurements were taken.....or the time for the pump put in 50 gallons before the  start

Answer:

Answer is 36.8

Step-by-step explanation:

There's something wrong in your question... Because...

5x-2=182

5x=182+2

5x=184

5x/5=184/5

X=36.8

The value of the expression 6( 3 + 5 ) 2 - 9a when a = 3 is 69

In this question,

we have been given an expression 6( 3 + 5 ) 2 - 9a

We need to evaluate given expression when a = 3 and b = 5

We substitute a = 3 in given expression and solve it.

6( 3 + 5 ) 2 - 9a                 ..........(given expression)

= 6( 3 + 5 ) 2 - 9(3)            ..........(substitute a = 3)

= 6(8) 2 - 27

= 96 - 27

= 69

Therefore, the value of the expression 6( 3 + 5 ) 2 - 9a when a = 3 is 69

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Step-by-step explanation:

This is due to the fact that a parallelogram consists of both a triangle and rectangle .

The base of a parallelogram is rectangular

Answer:

Step-by-step explanation:

It's because the latter one is not a approximation, like about, while the first one is.

Answer:

m×w plus x times x and the then 41 times Square 2 minus k

Step-by-step explanation:

x and y compkety le diff so w n m 41 than times b and g equivalent to 24 so asneer 24 negative

Answer:

An exponent is often referred to as a power of 10, for instance, [tex]\sf 6\boxed{^7}[/tex], as the exponent is highlighted. A number can only become a power of 10 under certain circumstances in an expression, on the other hand, you have exponents alone in expressions like "45² + x", the exponent was assigned to a number and that means that we multiply that number by itself that number of times. Logically speaking, it's impossible for a number alone to be a power of 10 or to become one out of the blue, a power of 10 is assigned into an expression and before a whole number before you start working on it, which is the equation.

I hope that answered your question as much as possible, notify me of any concerns.

Answer:

Well:

Step-by-step explanation:

When it has a little 10 on the top of a number. like 7 with a little 10 in the corner. :]

Total number of hours both worked last month is; 28.8 hours

Let the number of hours that Herold worked last month be x. Thus, number of hours that Marley worked = 16 + x

Now, we are told that Marley worked 7 hours for every 2 hours that Herold worked. Thus;

(16 + x)/x = 7/2

Cross multiply to get;

2(16 + x) = 7x

32 + 2x = 7x

7x - 2x = 32

x = 32/5

x = 6.4 hours

Thus, total hours Marley worked = 16 + 6.4 = 22.4 hours

Total number of hours both worked last month = 22.4 + 6.4 = 28.8 hours

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The total area of the land that the developer is considering to buy is 49,500 yards².

We are given a triangular plot of land having the dimensions as:

Base = b = 550 yards

Height = h = 180 yards.

We need to find the area occupied by the triangular plot.

Area of a triangle refers to the space occupied by the shape or object.

Area = 1 / 2 × b × h

Substituting the values in the formula, we get that:

Area = 1 / 2 × 550 yards × 180 yards

Area = 550 yards × 90 yards

Area = 49,500 yards²

Therefore, we get that, the total area of the land that the developer is considering to buy is 49,500 yards².

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Answer:

C. 49,500 yd2

Step-by-step explanation:

good luck

Answer:

Mathematics is a fundamental part of human thought and logic, and integral to attempts at understanding the world and ourselves. Mathematics provides an effective way of building mental discipline and encourages logical reasoning and mental rigor. In addition, mathematical knowledge plays a crucial role in understanding the contents of other school subjects such as science, social studies, and even music and art.

Step-by-step explanation:

if you need more I can help with that

The area of shaded region is calculated as: 112.5 cm².

The area of the shaded region in the diagram above is:

Area of shaded region = area of rectangle - area of triangle = (length)(width) - 1/2(base)(height).

Given the following:

Length of rectangle = 20 cm

Width of the rectangle = 9 cm

Base of triangle = 20 - 3 - 2 = 15 cm

Height of triangle = 9 cm

Plug in the values into the equation, area = (length)(width) - 1/2(base)(height):

Area of shaded region = (20)(9) - 1/2(15)(9)

Area of shaded region = 180 - 67.5

Area of shaded region = 112.5 cm²

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