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Find the area of a rectangular blackboard whose length and breadth are 120 cm and 100 cm, respectively.
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Answer:

2) [tex]\displaystyle -9a^3b^5[/tex]

1) [tex]\displaystyle \frac{x^8}{3}[/tex]

Step-by-step explanation:

2) [tex]\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}[/tex]

1) [tex]\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}[/tex]

The Quotient-to-Power Rule states that whenever you are dividng like-terms, you keep the coefficients and deduct the exponents.

I am joyous to assist you at any time.

The plan will result in the price of the feed reaching $12.00 fastest is Plan B because it reaches within 5 weeks.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Felix’s Feed Mill sells chicken feed for $8. 00 per bag.

This price is no longer high enough to create a profit.

Felix decides to raise the price. He is considering four different plans.

The plan will result in the price of the feed reaching $12.00 fastest will be

Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0.

⇒ $0.10 × 20 = $2

This plan will take 20 weeks to reach at a price of $12.

Plan B: Raise the price by 10 percent each week until the price reaches $12.0. The price of this plan will be in t weeks is

[tex]12 = 8 *1.1^t\\\\t = 4.25 \approx 5[/tex]

This plan will take less than 5 weeks.

Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.0. The amount will be

Amount = 2/8 = $0.25

Plan D: Raise the price by $0.25 each week until the price reaches $12. 0.

⇒ 0.25 × 8 = $2

This will take 8 weeks.

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Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;

[tex]\frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

The distance the cyclist rides against the wind = 5 miles

The distance the cyclist rides with the wind = 10 miLes

Let t represent the time it took the cyclist in both directions, we have;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

Where;

v = The cyclist's average rate of speed

Which gives;

10 × (v - 4) = 5 × (v - 4)

10v - 40 = 5v - 20

5v = 20

v = 20 ÷ 5 = 5

The equation that can be used to calculate the cyclist's average rate of speed is therefore;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

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The length of the dilated line segment is 80 units.

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]

The length of the dilated line segment is 80 units.

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Answer: Yes

Step-by-step explanation:

It can have angles of 90 degrees, 45 degrees, and 45 degrees.

Yes, a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

The Isosceles Right Triangle has one of the angles exactly 90 degrees and two sides, which are equal to each other.

Since the two sides are equal it makes the corresponding angle congruent.

An Isosceles triangle is a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

Hence, Yes, a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

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Answer:

Step-by-step explanation:

The salaries are the same. Only the fraction of how much is saved is quite different.

Equation

x ( 9/11 - 7/9) = 1584

Explanation: The salary amount is x. The fractional amounts saved are also given. You have to take the difference because one of the people saves more than the other.

The amount that is more is 1584.

Solution

9/11 = 0.8182

7/9 = 0.7778

9/11 - 7/9 = 0.8182 - 0.7778 = 0.0404

Put that into the equation.

x(0.0404) = 1584                     Divide by 0.0404)

x(0.0404) = 1584/0.0404        

answer:x = 39204

Answer:

8 miles

Step-by-step explanation:

In an hour there is 60 minutes. 15 minutes x 4 = 60 minutes

So multiply 1 mile for 4 to get 4 miles

Matt would walk 4 miles in 1 hour

Mutiply 4 by 2 to get the distance Matt would walk in 2 hours which would be 8 miles.

Answer:

Matt would walk 8 miles in to hours.

Step-by-step explanation:

15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.

1 mile times 8 = 8 miles

Hope that helps!

The quarterly payment will be $1,127.86

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]  

[tex]A=$1127.86[/tex]

Hence the quarterly payment amount is $1,127.86.

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Answer: c+229

Explanation: c represents and unknown variable and since you are just trying to find the sum of the two years, you simply need to add the two together.

Answer:

9/8

Step-by-step explanation:

3/4 2/3

LCM=12

9/8

Am not sure

Answer:

1.b

2.c

3.a

4.a

5.d

Step-by-step explanation:

Answer:

Answer: x = 5, y = 7

Step-by-step explanation:

1. First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

2. Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

3. Add equations:

y = 7

4. Then determine x by plugging y back into the first equation y = x + 2:

x = 5

Answer:

145.1 m^2

Step-by-step explanation:

(8x15)+(3.14x8)

120+25.12

145.12

round

145.1

Answer: There are 2 different unit rates here:

The increase of the tree's height per year

The increase of the tree's trunk per year

Rate of tree's height per year

= 33m / 150 years = 0.22m per year.

Rate of tree's trunk per year

= 3m / 150 years = 0.02m per year.

Step-by-step explanation:

i) linear

ii)2

iii) 1

iv) 1

v) -1/5

First one can u type the options in the comment

Answer:

  A. Numbers get smaller as you move to the left on the number line.

Step-by-step explanation:

A number line is typically drawn so that smaller, more negative numbers are on the left, and larger, more positive numbers are on the right.

__

  Numbers get smaller as you move to the left on the number line.

_____

Additional comment

Number lines can be drawn with any scale and range, depending on what they are intended to represent. For representation of small integers, it is not uncommon for a number line to range from -10 to +10. However, that is not the only possible range that might be used.

Any number line can be used to show number order (least to greatest ≡ left to right). A number line with a linear scale can also be used to show relative differences between numbers: a greater distance on the number line corresponds to a greater difference between numbers.

Answer:

0.018

Step-by-step explanation

6,100,9a-mo,0.018

Answer:

61

Step-by-step explanation:

angle at centre equals twice that at circumference

Answer: (1)

Step-by-step explanation:

A system of equations must have two equations. The first option is the only one that satisfies this.

Answer:

1. perimeter =2(l+w)

                    =2(17+10)

                   = 54 yards

Are of the perimeter=l times b

                                =17 x 10

                                =170 yd square

Just follow this concept for all of them. It the same thing. Good Luck!!

Step-by-step explanation:

Answer:

I think it's a hope this helps

Answer:

667.2

Step-by-step explanation:

aP/2 apothem is 13.9, perimeter is 16(6)= 96

multiply apothem and perimeter then divide by 2.

The line TU is tangent to the circle whose center is at point S

The measure of angle U is 84 degrees

From the question, we understand that:

This second highlight means that:

Angle STU = 90 degrees

And:

Angle STU = Angle STV + Angle VTU

This gives

90 = 84 + Angle VTU

Subtract 84 from both sides

Angle VTU =  6

The measure of angle U is then calculated as:

U + Angle VTU + Angle UVT = 180 ------ sum of angles in a triangle

This gives

U + 6 + 90= 180

Evaluate the sum

U + 96 = 180

Subtract 96 from both sides

U = 84

Hence, the measure of angle U is 84 degrees

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Answer: (1)

Step-by-step explanation:

The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.

Answer:

-(12+a)(a+2)

Step-by-step explanation:

this is to ez

The expression as a product is (a+12)(-a-2)

An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.

Given that, is an expression, 25-(a+7)², we need to write it in product form, 25-(a+7)²

= 25 - (a²+49+14a)

= 25-a²-49-14a

= -a²-14a-24

Factorizing,

= -a²-12a-2a-24

= -a(a+12)-2(a+12)

= (a+12)(-a-2)

Hence, the expression as a product is (a+12)(-a-2)

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Answer:

(y-3)(y + 3/2) = 0

y = 3 or y = -3/2

the diff

3 - ( - 3/2 )

3 + 3/2

6/2 + 3/2

9/2 or 4.5