8) The sum of four times a number, -1, six times a number, and 3

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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Answer:

x=0

Step-by-step explanation:

4x -3y =12

4x - 3(-4)=12

4x+12=12

4x=0

x=0

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

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:

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. :]

Answer:

Step-by-step explanation:

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

The suggested answers to the absolute value problem l x - 13 l = 7.

Except for 0, the absolute value is represented by a positive integer. In a variety of mathematical and physical situations, the notions of magnitude, distance, and norm are intimately related to the concept of absolute value.

In order to do this on a budget, find a number N that:

N-10=-(N + 4)

When we isolate N, we obtain:

2N= 10-4= 6

N= 6/2= 3

Following that, N-10= 3-10=-13, and N + 4= 3 + 4= 7.

as well as the fact that I-13I= I7I.

We can now express our equation as follows:

l x-13 l =7

As a result, where the roots (or solutions) of x = -10 and x = 4 are.

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The volume of Tyler's shoe box is 144 cubic inch

From the question, we are to calculate the volume of the shoe box.

From the given information, we have that

Tyler is filling the shoe box with cubes that are each 1 cubic inch.

and

He found out that 48 of the 1 cubic inch cube completely fills the bottom of the box

Also,

He observed that he can put 2 more layers of cubes in the box.

Thus,

The number of 1 cubic inch cube that would completely fill the box is

48 + (2×48)

= 48 + 96

= 144 cubes

Since the cubes are 1 cubic inch each,

Then,

The volume of the shoe box = 144 × 1 cubic inch

Volume of the shoe box = 144 cubic inch

Hence, the volume of Tyler's shoe box is 144 cubic inch

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The side length of Amanda's phone is 8 inches.

A scale drawing is either an enlarged or reduced image of another image or object. A scale drawing is enlarged or reduced using a scale. A scale is a used to determine the ratio between the scale drawing and the original diagram.

The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. The scale in this diagram is 7inches to 1 inches. This means that the screen on the wall is 7 times larger than her phone's screen.

In order to determine the side length of Amanda's phone, divide the scale of the screen by the side length of the screen on the wall.

Side length of Amanda's phone = 56 inches / 7 inches

= 8 inches

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Answer:

m-6

Step-by-step explanation:

this is what I think it it

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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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 decimal that shows 0.06 as an equivalent number of thousands is 0.060

The number is given as

0.06

To determine the equivalent number of the decimal in thousands, we simply add more zeros after the last significant digits

So, we have

Number = 0.0600000

Reduce the zeros till the thousandth place value

So, we have

Number = 0.060

Hence, the decimal that shows 0.06 as an equivalent number of thousands is 0.060

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Answer:

Step-by-step explanation:

Y = (-116)(51)(-2)

Y = (-116) × (51) × (-2)

The amount of refrierant the tubing can hold is 0.037 cubic feet..

A cylinder is a three-dimensional object that is made up of a prism with a circular base. In order to determine how much refrigerant that cylindrical coil can hold, the volume of the cylinder has to be determined.

First, the dimension of the inside diameter has to be changed to feet

1 inch = 1/12 feet

3/4 x 1/12 = 1/16 feet

Volume of a cylinder = πr²h

Where:

Volume = 22/7 x (1/32)² x 12 = 0.037 cubic feet.

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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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Answer:

x = 121°

Step-by-step explanation:

180° - 155° = 65°

360° - 304° = 56°

x = 65° + 56° = 121°

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 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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Mia's total accounts receiving is $1,50,000.

Given :

receivables dues paid by customers = $90,000

Let Mia's total accounts receiving be $ x.

According to the question,

⇒ 60% of x = 90,000

⇒ [tex]\frac{60}{100} x[/tex] = 90,000

⇒ x = (90,000×100) /60

       = 1,50,000

Therefore, Mia's total accounts receiving is $1,50,000.

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Answer:

y = 2x + 1

Step-by-step explanation:

The slope is

[tex]\frac{-3-3}{-2-1}=2[/tex]

Substituting into point-slope form, the equation is

[tex]y-3=2(x-1)[/tex]

which rearranges into slope-intercept form as:

[tex]y-3=2x-2 \\ \\ y=2x+1[/tex]

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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We get that, the solution for the inequality 2 x + 6 < 4 will be x ∈ ( - ∞ , - 1 ).

We are given an inequality:

2 x + 6 < 4

We need to find the solution for the inequality.

2 x + 6 < 4

Subtract 6 from both the sides, we get that:

2 x + 6 - 6 < 4 - 6

2 x < - 2

Divide both the sides by 2, we get that:

2 x / 2 < - 2 / 2

x < - 1

x ∈ ( - ∞ , - 1 )

Therefore, we get that, the solution for the inequality 2 x + 6 < 4 will be x ∈ ( - ∞ , - 1 ).

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Answer:

11.1

Step-by-step explanation:

This is a question involving ratios and proportions

The ratio of man's height to his shadow length = 6.5/4.7

The ratio of flagpole height to its shadow must be in the same ratio

If h is the height of the flagpole then h/8 is the ration of height to shadow length

Therefore,

[tex]\dfrac{6.5}{4.7} = \dfrac{h}{8}\\\\\mathrm{Multiplying \;both\;sides\;by\;8\;}\\\\\dfrac{6.5 \times 8 }{4.7} = h \\\\Or,\\h = \dfrac{6.5 \times 8 }{4.7} \\\\Which\;simplifies\;to:\\\\h = 11.0638\\\\h = 11.1 \;rounded\;to\;the\;nearest\;tenth\;of\;a\;foot[/tex]

A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

Where:

Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 4/3.

For table 2, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 8/3.

For table 3, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 5/3.

For table 4, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 6/3 = 2.

In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

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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: 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)