Last year, Ms. Melissa's garden had a width of 3 feet and an area of 27 square feet. This year, Ms. Melissa wants her garden to be 3 times as long and twice as wide.

a. solves for the length of Ms. Melissa's garden last year. then, draw and label the measurements for this year's garden.

Answer:

x = 22.5

Step-by-step explanation:

Similar figures have proportional side lengths

[tex]\frac{12}{18}[/tex] = [tex]\frac{15}{x}[/tex]            [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{2}{3}[/tex] = [tex]\frac{15}{x}[/tex]  

2 x 7.5 = 15, so 3  x 7.5 = 22.5

x = 22.5

The answer is 16/5=3.2

explanation

1.2(0.4-0.9)/(-6) +3.1

simplify the expression:

1.2(0.4-0.9)/-6+3.1

simplified the answer

16/5=3.2

expanded 16/5

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Answer:

[tex]\frac{1}{10x^{3} }[/tex] or [tex]\frac{1}{\\1000x^{3} }[/tex]

Step-by-step explanation:

To make the exponent positive, you put it over 1.

Answer: [tex]x^{2} +9x+23[/tex]

Step-by-step explanation:

Given equation:

-f(x)+3g(x)

Since the f(x) and g(x) are already given in the problem, all you must do is plug in the values.

[tex]-(-x^{2} -8)+3(3x+5)\\=x^{2} +8+9x+15\\=x^{2} +9x+23[/tex]

It needs to do that route I guess. But I don't understand the last question well.

Answer:

a. The purchase price of the estate is $1,246,500 x 95% = $<<124650095.01=1182975>>1,182,975.

b. The amount of the down payment is $1,182,975 x 30% = $<<118297530.01=354452.5>>354,452.5.

c. The amount of the mortgage loan is $1,182,975 - $354,452.5 = $<<1182975-354452.5=828492.5>>828,492.5.

Step-by-step explanation:

A cylindrical tank is half-full of oil. The cylinder has a base radius of 100 cm. The height of the cylinder is 250 cm than the oil present in the tank is 3926.990 lit.

Given :

The volume of the half cylinder is given by:

[tex]Volume= \frac{1}{2} (\pi r^{2} ) X h\\\\Volume=\frac{1}{2} X(\pi X(100)^{2} ) X 250[/tex]

[tex]Volume = Volume = 3926990.82 cm^{3}[/tex]

[tex]Volume = 3926.990 lit.[/tex]

So, 3926.990 lit. of oil are present in the cylindrical tank.

Answer:

d. [tex]\csc x +\cot x[/tex]

Step-by-step explanation:

[tex]\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}=\frac{\sin x(1+\cos x)}{\sin^2 x}=\frac{1+\cos x}{\sin x}=\csc x+\cot x[/tex]

By factor decomposition and algebra properties, the number √180 is equal to 6√5.

In this problem we find an imperfect square root, that is, a square root whose root is an integer. However, we can simplify the expression by means of algebra properties and by redefining the number inside the root operator as a product of integers. Now we proceed to show the complete steps of the procedure:

First, decompose the number inside the root operator by factor decomposition:

√180 = √(2² · 3² · 5)

Second, simplify the resulting expression by algebra properties concerning roots:

√180 = √2² × √3² × √5

√180 = 2 × 3 × √5

√180 = 6√5

Therefore, the number √180 is equivalent by algebra properties and factor decomposition to 6√5.

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The positive solution for the number is 6 as the expression will result to a quadratic equation.

A quadratic equation is a second-order polynomial equation in a single variable x in the form ax² + bx + c = 0. with a ≠ 0.

We Shall represent the unknown number with the letter x so that we have:

x² - 18 = 3x

x² - 3x - 18 = 0 {a quadratic equation}

x² + 3x - 6x - 18 = 0 {expand the middle term}

x(x + 3) -6(x + 3) = 0 {factor out x + 3}

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = -3

we have two solutions for the quadratic equation and 6 is the positive solution

Therefore, the positive solution for the quadratic equation is 6

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Answer: 22 tulips

Step-by-step explanation:

2 + 1 = 3

3 goes into 33 11 times, so you multiply each value by 11

2 * 11 = 22 tulips

22 tulips to 11 roses is 2:1 ratio

Answer:

268 ounces

Step-by-step explanation:

13.40 in pennis is 1,340 pennies. If 10 pennies weigh 2 ounces then each penny weighs .2 ounces. So then all you have to do is 1,340×.2 which is 268. So, a bunch of pennies worth $13.40 weigh 268 ounces. :)

Answer:

268 ounces

Step-by-step explanation:

$13.40 = 1340 penny, so, 1340/10*2 is 268

Answer:

4,606

Step-by-step explanation:

(327 x 14) +28  Product is the answer in multiplication

4578 + 28

4606

the total cost to fill up half of the tank will be $20.25.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

For 500 miles the car consumes 60 gallons of gas.

The capacity of the tank is 13.5 gallons.

Filling up half of the tank will require 6.75 gallons of gas.

The cost of a gallon of gas is $3.

So the total cost will be 6.75*3 = $20.25

Hence, the total cost to fill up half of the tank will be $20.25.

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Answer:

a = -0.05

Step-by-step explanation:

0.2a + 0.06 = -0.05

Step 1: 100 * (0.2a + 0.06 = 0.05)

20a + 6 = 5

Step 2: 20a + 6 - 6 = 5 - 6

20a = -1

Step 3: 20a / 20 = -1/20

a = -0.05

Hello Dear,

Could you send a better explained question?

Thanks!

The simplified sum of the second and forth integers are; -1 + 5 = 4

An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803

Now, we are given the consecutive integer sequence as;

x, 1, 3, 5

Now, since the integers are consecutive, then the common difference is the same. Thus;

1 - x = 3 - 1

1 - x = 2

x = 1 - 2

x = -1

Sum of first and fourth term = -1 + 5 = 4

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39) a and b here are Adjacent Angles.

40) a and b here are Adjacent Angles.

41) a and b here are Complementary Angles.

42) a and b here are Alternative Interior Angles.

The following requirements must be met for two angles to be adjacent.

On the other hand, when a transversal connects two coplanar lines, alternate interior angles are generated. They are on the inside of the parallel lines, but on the outside of the transversal.

It is worth noting that Alternate Interior Angles are congruent.

Mathematically, two angles are called complementary IF their measures SUM to 90 degrees.

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Is the ordered pair (6,4) a solution to the inequality y > -1/2 x + 7: D. No, because (6,4) is on the line.

In order to determine if this ordered pair (6, 4) is a true solution based on the given linear inequality, we would have to test the ordered pair by substituting their values into the linear inequality as follows;

For ordered pair (6, 4), we have the following:

y > -1/2x + 7

4 > -1/2 × (6) + 7

4 > -3 + 7

4 > 4 (False).

In this context, we can reasonably infer and logically conclude that the ordered pair (6, 4) is not a true solution for the given linear inequality because it is located on the line.

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Answer: To find the answer, I first understood that the first number is a product of two factors and the second number is the sum of those two factors.

So, I started by listing out all the factors of the first number which is 16. The factors of 16 are 1, 2, 4, 8, 16.

Then I looked for a pair of factors from the list whose product is 16 and sum is 10.

I found the pair (4, 6) which satisfies the condition.

So, I confirmed that 4 x 6 = 16 and 4 + 6 = 10.

Step-by-step explanation:

Answer:

In the exact form, it would be 2/3.

(Hope it works!)

Step-by-step explanation:

By using integers to represent the information, Death Valley will be -282 and Mount Mckinley is 20320.

From the information, death valley california has the lowest point in the united states. its elevation is 282 feet below sea level.

Mount mckinley alaska has the highest point in the united states and it's elevation is 20,320 feet above sea level.

It should be noted that by using integers, Death Valley is the lowest point. This will have a negative sign and will be -282. Mount McKinney will be +20320

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Answer:

50 in

Step-by-step explanation:

(1)

[tex]area \: of \: the \: whole \: circle \: = \pi {r}^{2} [/tex]

= 22 × 5 ×5

7

= 78.57

(2)

[tex]area \: of \: the \: unshaded \: circle \: = \pi {r}^{2} [/tex]

= 22 × 3 ×3

7

= 28.28

(1) - (2) = Area of shaded circle

= 78.57 - 28.28

= 50.29

Answer:

Step-by-step explanation:

answer: 50

Okay so we need to find ABC, which is 2x, and we know the angles of a triangle all add up to 180.

To find angle C you must subtract the exterior angle from the total of the line, 180.

C = 180-145

C = 35

So now we have 3 elements, 95, 2x, and 35, and we know they all add up to 180 degrees.

95+35+2x=180

130+2x=180

50=2x

2x is the angle of ABC, so it's 50 degrees

Answer: 7.5 minutes

Step-by-step explanation:

(1) +8,+4,0,+2,+3 = 0 , 2 , 3 , 4 , 8

(2) -1,-11,-5,-0,-12 = -12 , -11 , -5 , -1 , -0

The solution set for the inequality given in the task content as required is; w > -1.2.

The graph of the inequality on the number line is as represented in the attached image.

It follows from the task content that the graph of the inequality w - 0.9 > -2.1 as required is to be determined.

Since the given inequality is; w - 0.9 > -2.1.

The inequality can be solved by first adding 0.9 to both sides of the inequality; Additive property of inequalities;

w - 0.9 + 0.9 > -2.1 + 0.9.

w > -1.2.

On this note, the correct ray is that which points rightwards with an open ring (indicating the > sign).

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The solution of the inequality is graphed in the number line and attached

Inequality, is a mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

Solid dot and hollow dot in inequality

A region on one side of a line can be used to graphically show an inequality.

For the purpose of indicating that a line is not a part of the region, inequality plots that employ the < or > symbols have a hollow dot

Plotting a solid dot indicates that an inequality that uses the symbol  ≤ or ≥ is included in the region.

In the problem, w - 9 > -2.1 will use a hollow dot

w - 0.9 > -2.1

w > -2.1 + 0.9

w > -1.2

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Answer: Slavery

Step-by-step explanation:

The output for x = 0, is 2.

The output for x = 0, is 2.

The output for x = 0, is 2.

The output for x = 0, is 2.

An input-output table is a table that shows the relationship between sets of numbers that always follow the same rule. Input-output tables can be very complex (with several math operations) or simple (with just one math operation).

Given the equation

output = x+2

If input x = 0

output = 0+2 = 2

If input x = 1

output = 1+2 = 3

If input x = 2

output = 2+2 = 4

if input x = 3

output = 3+2 = 5

Hence for the every value x in the table the output will be 2, 3, 4, 5 respectively.

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