3 gardeners can plant 18 trees in 30 minutes.

How many gardeners would it take to plant 45 trees in 45 minutes?

Answer:

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

Solving for h in the given equation; 3 g h = f + 3 gives; h = f/3g + 1/g.

The given equation is; 3 g h = f + 3

To solve for h; we must divide both sides of the equation by 3g as follows;

Hence, we have;

The correct answer is Choice C; StartFraction f Over 3 g EndFraction + StartFraction 1 Over g EndFraction

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Answer:

C if you want a short answer :)

Step-by-step explanation:

Good luck

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

A =5220 yd^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w  where l is the length and w is the width

A = 87 * 60

A =5220 yd^2

The value of x from the given diagram is 102degrees since they are corresponding.

Straight lines that are always the same distance apart from one another are called parallel lines.

In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.

From the given figure, the line m is parallel to n. This shows that the given angles are corresponding angles that is;

x = 102 degrees (corresponding angles)

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Answer:

x = -16

Step-by-step explanation:

The angles are corresponding angles and when the lines are parallel, corresponding angles are equal.

8x+260 = 132

Subtract 260 from each side.

8x+260-260 = 132-260

8x = -128

Divide each side by 8.

8x/8= -128/8

x = -16

Answer:

x = -16

Step-by-step explanation:

We know that, corresponding angles in parallel lines are equal.

Accordingly,

8x + 260 = 132

Subtract 260 from each side.

8x = 132 - 260

8x = -128

Divide both sides by 8.

x = -16

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Let the four consecutive integers be x, (x + 1), (x + 2) & (x + 3)

Smallest integer = x

According to the given condition:

\(x + (x + 1) + (x + 2) + (x + 3) = 3x \\ \\ 4x + 6 = 3x \\ \\ 4x - 3x = - 6 \\ \\ x = - 6 \\ \\ Sum\: of\: the\:integers \\=4x + 6 = 4( - 6) + 6 \\ \\ = - 24 + 6 \\ \\ = - 18\)

The slope-intercept equation of a linear function f whose graph satisfies the given condition is y = 5.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is perpendicular to x = 6, which is a vertical line, the other line must be horizontal with a slope of zero (0). Therefore, the required equation is given by:

y - y₁ = m(x - x₁)

y - 5 = 0(x - (-5))

y - 5 = 0(x + 5)

y - 5 = 0

y = 5.

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$92000 is the James’s current equity in the home.

Equity, also known as shareholders' equity or owners' equity for privately held businesses, is the sum of money that, in the event of a company's liquidation, would be distributed to its shareholders after all of the company's assets have been sold and its debt has been fully repaid.

In an acquisition scenario, it is equal to the sum of the company's sales less any liabilities that were not transferred to the new owner.

A company's book value can also be represented by shareholder equity. A payment-in-kind arrangement may occasionally include equity. Furthermore, it represents the proportionate ownership of a company's shares.

James’s current equity =  (180000 × 1.25) - ((180000 × 0.8) -11000)

                                       = 92000

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Answer:

The answer is D

Step-by-step explanation:

Let C be the number of children who used the public swimming pool and A be the number of adults.

The total number of people at the pool is given by the equation: C + A = 660

The total cost of admission for all the people at the pool is given by the equation: 1.5C + 2.5A = 1279

Solving the system of equations using substitution, we get:

A = 289 and C = 371

There were 371 children and 289 adults at the public pool on the hot summer's day.

The mean of the data for minutes spent every day = 47mins.

The mean in statistics is calculated by multiplying all the values in a set of data by the total number of values for a given set of observations. To put it another way, all that is necessary to determine the mean of a set of data is to sum up all the values and divide the total by the number of values.

The data as per the question is:

33, 59, 68, 32, 43.

Now mean will be = sum of all data/ number of data

= (33 + 59 + 68 + 32 + 43)/5

= 235/5

= 47mins.

Hence, the mean of the data is 47mins.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

b

Step-by-step explanation:

After solving the given equations the value obtained for x and y will be equal to 2 and 14 respectively.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

The given equations are:

y = 9x - 4 and,

y = -2x + 18

Equate both equations,

9x - 4 = -2x + 18

9x + 2x = 18 + 4

11x = 22

x = 2

Substitute x = 2 in the first equation,

y = 9x - 4

y = 9(2) - 4

y = 14

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Answer:

80 days

Step-by-step explanation:

first divide 320 and 4

then you get 80

then you add the word days

Answer:

2 1/4

Step-by-step answer

Answer:

i think A

Step-by-step explanation:

y = 1/4x + 1 is parallel to line a

-4x + y = -8 is neither parallel nor perpendicular to line a

4x + y = -3 is perpendicular to line a

From the question, we are to determine how the given equations compare to line a.

From the given information,

Line a is -x + 4y = 32

First, we will determine the slope of line a

To do this, we will compare the equation to the slope-intercept form of a line

The slope-intercept form of a line is

y = mx + b
Where m is the slope

and b is the y-intercept

Writing -x + 4y = 32 in the slope-intercept form

-x + 4y = 32

4y = x + 32

Divide through by

y = 1/4 x + 8

By comparison, the slope of line a is 1/4

NOTE: If two lines are parallel, their slopes will be equal

and

If two lines are perpendicular, their slopes will be the negative reciprocal of each other

Now, we will determine the slopes of each of the lines

For y = 1/4x + 1

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 1/4

Thus, the line is parallel to line a

For -4x+y=-8

Rewrite in the slope-intercept form of a line

-4x + y = -8

y = 4x - 8

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 4

4 is not equal to 1/4 and 4 is not the negative reciprocal of 1/4.

Thus, the line is neither parallel nor perpendicular to line a.

For 4x+y=-3

Rewrite in the slope-intercept form of a line

4x + y = -3

y = -4x - 3

By comparing with the slope-intercept of a line, y = mx + b

The slope of the line is -4

-4 is the negative reciprocal of 1/4.

Thus, the line is perpendicular to line a.

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Answer:

0.31<0.32<33/55

Step-by-step explanation:

33/55=0.6

=> 0.31<0.32<0.6

Answer:

m = 2

Step-by-step explanation:

To find the slope, simply use this equation:

m = y2 - y1 / x2 - x1

Now we need to insert some points:

m = 10 - 0 / 11 - 6

m = 10/5

m = 2

Therefore, the slope of the line is 2.

Answer:B

Step-by-step explanation:

I just put B I don’t know if it’s right...

The selling price of the antique through an online auction website is $680.

Given that,

Kyle sold an antique through an online auction website.

The website host charges Kyle $15, plus 2.5% of the final selling price of the antique.

After selling the antique, Kyle had to pay the website host $32.

Let x be the selling price of the antique.

We get an equation,

15 + (2.5% × x) = 32

15 + 0.025x = 32

0.025x = 17

x = $680

Hence the selling price is $680.

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Answer:

The answer is -2.

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

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Answer:

5.25

Step-by-step explanation:

7x3 = 21

21/4 = 5.25

Answer:

5 1/4

Step-by-step explanation:

The area and perimeter of a triangle is 41.85 square cm and 30.3cm respectively.

Triangle is a 2-dimensional shape with 3 sides and angles.

Area of triangle  = 0.5 * base * height

Given the following

base = 9cm

Area = 0.5 * 9 *9.3
Area = 41.85 square cm

The perimeter is the sum of all its sides

Perimeter = s1  + s2 + s3
Perimeter = 9cm + 12cm + 9.3cm

Perimeter = 30.3cm

Hence the area and perimeter of a triangle is 41.85 square cm and 30.3cm respectively.

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Patrick's Pool Supplies had annual sales of $634,780.

The cost of goods sold was $306,600

Therefore;

Thus;

Therefore, the profit is $328,180 Option B

Step-by-step explanation:

Relationship is a ver beautiful friend one answer