what is the quotient in simplest form
12/7÷3

​

Answer:

84 cents a pound divide 2 1/4 by 1.89 equals 0.84

Step-by-step explanation:

Answer:

  ? = 1000

Step-by-step explanation:

Zarea is making use of the fact that the cube root of a product is the product of the cube roots. She is factoring out the largest perfect cube in the number 6000.

  \(\displaystyle \sqrt[3]{6000}=\sqrt[3]{1000\cdot6}=\sqrt[3]{\boxed{1000}}\cdot\sqrt[3]{6}=10\sqrt[3]{6}\)

The missing value in Zarea's work is 1000.

The institution from the industrial revolution is the national institute of space and technology. Hence, option B is correct.

Agrarian and handcraft economies were replaced by industrialized and machine production during the Industrial Revolution in modern history. New modes of living and working were made possible by these technical advancements, which profoundly altered society.

In the 18th century, this practice started in Britain and then extended to other regions of the world. The English economics professor Arnold Toynbee (1852–83), who originally used the word to characterize Britain's economic growth from 1760 to 1840, although it had been used by French writers earlier.

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Answer:

0.2

x 6

----

1.2

The answer is 1.2

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

well, as I see it Person1 is faster than Person2, but Person2 doesn't factor in the issue here, let's nevermind Person2.

most of the procedures are 45mins each, namely on average they're 45 mins each.

so Person1 say did 9 procedures, but two of those guys took much longer, too 2 hours each, so two procedures alone ate 4 hours.

Now, Person1 besides doing those two really long procedures, has to also finish the other seven, 2 + 7 = 9, so there are 7 more procedures that on average take 45 mins each.

\(\stackrel{\textit{\LARGE minutes}}{\stackrel{\textit{two really long ones}}{240}~~ + ~~\stackrel{\textit{the rest of them}}{45(7)}}\implies 555\implies \stackrel{\textit{9 hours and 15 minutes}}{9.25~hours}\)

Answer:

1364.67cm^2

Step-by-step explanation:

a=1/2(17.7)*(25.7*6)

a=8.85*(25.7*6)

a=8.85*154.2

a=1364.67

A person who watches 5 hours of TV can do 22 sit-ups in a minute

The results of the regression are given as

a = -1.224

b = 27.623

Also, we have the equation to be

y = ax+b

Substitute a = -1.224 and b = 27.623 in the equation y = ax+b

So, we have the following representation

y = -1.224x + 27.623

When a person watches TV for 5 hours, we have

x = 5

So, we have

y = -1.224 x 5 + 27.623

Evaluate

y = 22 (approximated)

Hence, the number of sit-ups is 22

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Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

The equation y=5/4x i.e., option (C) models the time Bobby spends on building birdhouses.

GIVEN:

x is the time bobby spends building birdhouses

y is the number of birdhouses he builds

STEPS:

If Bobby builds 5 houses in 4 hours then,

In 1 hour he builds 5/4 houses

⇒In x hours no.of houses = (5/4)x

∴equation model for the time taken to build birdhouses is y=(5/4)x

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Answer:

Well in ∆ UWX and ∆UWV

given → UV = UX and <x = <v

now, <UWV = 90° = <UWX

therefore, by RHS;

∆UWX = ∆UWV

In relation to the angle L of the right triangle the sides are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.

The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.

Let's identify the sides  j,  k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.

Therefore,

The hypotenuse side is the longest side of a right triangle.

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The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer: the sun is 389.015069067 times further away from earth to the moon

Step-by-step explanation: 92935700/238990=389.015069067

The sketch of the front elevation and the side elevation of the prism are added as an attachment

From the question, we have the following parameters that can be used in our computation:

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer:

4p-n+2q-3m is equivalent to 8p-3n+4q-9m

The expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression. which is the correct answer would be an option (C).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question following:

8p - 3n + 4q - 9m

We have to determine the equivalent expression to the given expression

As per option (C), we have

⇒ 4(2p+ q) - 3(n+3m)

Apply the distributive property of multiplication,

⇒ 4 × 2p+ 4 × q  - 3 × n + 3 × m

⇒ 8p + 4q  - 3n + 3m

Rearrange the terms in the above expression,

⇒ 8p - 3n + 4q - 9m

So this expression is the same as the given expression.

Therefore, the expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression.

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The question seems to be incomplete the correct question would be:

Which expression is equivalent to 8p-3n+4q-9m

A. 0

B. 5pn - 5qm

C. 4(2p+ q)-3(n+3m)

D. 4(2p+q)-3(n-3m)

When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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Answer:

He will is able win

Step-by-step explanation:

Answer:

he is able to win

Step-by-step explanation:

From the equation x²+ (y-5)² = 64, the coordinates of the center of the circle are (0, 5), and the radius of the circle is 8 units.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The given equation of the circle is in the standard form -

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

Comparing this standard form with the given equation, we get -

(x - 0)² + (y - 5)² = 8²

So the center of the circle is (0, 5) and the radius is 8.

Therefore, the center of the circle is (0, 5), and the radius is 8 units.

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Answer:

400

Step-by-step explanation:

3% of 400 is 12

We would apply the formula for calculating compound interest which is expressed as

A = P(1 + r/n)^nt

where

A is the total amount after t years

t is the number of years

is the principal or initial amount deposited

r is the interest rate

n is the number of compounding periods in a year

From the information given,

r = 12% = 12/100 = 0.12

P = 800

n = 1 because it was compounded annually which means once per year.

a) We want to find A when t = 13. We have

A = 800(1 + 0.12/1)^1 * 13

A = 800(1 + 0.12)^13

A = 800(1.12)^13

A = 3490.79

The balance after 13 years is $3490.79

b) We want to find t when A = $13,600.05

We have

13,600.05 = 800(1 + 0.12/1)^1 *t

13,600.05 = 800(1.12/1)^t

Dividing both sides of the equation by 800, we have

13,600.05/800 = 800(1.12/1)^t/800

800 cancels out on the right. We have

17.0000625 = 1.12^t

We would take the natural log of both sides of the equation. We have

ln 17.0000625 = ln 1.12^t

On the right side, we would apply the law of logarithms which is expressed as

ln k^t = t ln k

By applying this law, we have

Answer:

16

Step-by-step explanation:

Since the perimeter of the rectangle is 80, we can set up the perimeter formula:

80=2L+2W=2(3x+3)+2(2x+2)=6x+6+4x+4=10x+10

10x=70

x=7

AB=2x+2=2(7)+2=14+2=16

Answer:

AB= 16

Step-by-step explanation:

2x+2+3x+3=40

Add like terms: 2x+3x= 5x and 2+3=5

New equation: 5x+5=40

Solve: 40-5= 35

Now we know that x is equal to 7.

2(7)+2= 16

Side DC equals 16.

Side AB has the same length as side DC since it's a rectangle.

Side AB equals 16.

Let's check: 16+16=32 (side DC and side AB)

24 must be the length of the other sides.

So, when you add all the sides together...

16+16+24+24= 80

You get 80, the perimeter!

I hope this helped!

Answer:

cant see it

Step-by-step explanation:

just type it out

Given the line graphed, you can identify that it passes through the Origin. Therefore, its equation has this form:

Where "m" is the slope of the line.

In this case, knowing this point on the line:

You can identify that:

Therefore, you can substitute values into the equation and solve for "m":

Hence, the answer is:

Answer:

13.9375

Step-by-step explanation:

this is your answer 1234

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.