-Find the product.-Simplify to lowest terms.\( \frac{2}{12} \times \frac{4}{9} = \)A)2/7B)8/21C)2/27D)2/108

Answer:It’s C

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

30 + 4x=90

4x=60

x=15

Answer:

\(-7a - b - c\)  or Option B

Step-by-step explanation:

1. Distribute the negative sign through the second set of parentheses.

\(-4ac + b - 2c -3c -2b + c\)

2. Combine like terms.

\(-4a - 3a + b - 2b - 2c - c\)

3. Simpify and solve

\(-7a - b - c\)

Answer:

The answer is: D) 34

Answer:

I believe its 40 pens

Answer:

40 pens so u do 30 times 1000= 30000 ➗ 750

Usual gradation standards

So inorder to make her wrong we need something less than B+ I e <70

Smallest score is 0 largest score is 70 .

Answer:

all

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

You can use a graphing calculator to help with these kind of questions, Desmos is a good graphing calculator

Answer:

you make them into groups

Step-by-step explanation:

Answer:

Make them into groups

Step-by-step explanation:

Hope this helped have an amazing day!

There were 21 questions in total in the test

From the question, we have the given parameters related to our computation are

Number of questions answered correctly = 15

Proportion of questions answered correctly = 70%

Represent the total number of questions with T

So, we have the following representation

Number of questions answered correctly = T * Proportion of questions answered correctly

Substitute the known values in the above equation

So, we have the following equation

70% * T = 15

Divide both sides by 70%

T =21

Hence, the total number of questions is 21

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Answer:

669 dollars and 70 cents

Step-by-step explanation:

just minus all the money spent and add the money added

2.1 The height of the given container is \(\frac{250}{\pi r^{2} }\) cm.

2.2 The surface area in terms of r is 2πr (r + \(\frac{250}{\pi r^{2} }\) ) square cm.

2.3 The measure of radius i.e. r is 3.41 cm and the minimum surface area of the container is 221.19 square cm.

2.4 The cost of the container is not determinable as there is no data provided regarding it.

The solution has been obtained by using the formulas of cylinder.

What is a cylinder?

The cylinder, one of the most basic curvilinear geometric shapes, has traditionally been regarded as a three-dimensional solid. It is regarded as a prism with a circle as its basis in elementary geometry.

2.1 We are given that the volume of the container is 250 cubic cm.

So, using the volume of cylinder, we get the radius as

⇒ V = πr²h

⇒ 250 = πr²h

⇒ h = \(\frac{250}{\pi r^{2} }\) cm

2.2 Now, using the formula of surface area of cylinder, we get

⇒ Surface area = 2πr (r + h)

⇒ Surface area = 2πr (r + \(\frac{250}{\pi r^{2} }\))

2.3 For surface area to be minimum, we need to equate its derivative to 0.

On simplifying the surface area, we get

Area (A) = 2π\(r^{2}\) + \(\frac{500}{r}\)

Now, its derivative is

A' = 4πr - \(\frac{500}{r^{2} }\)

On equating it to 0, we get

⇒ 4πr - \(\frac{500}{r^{2} }\) = 0

⇒ 4πr = \(\frac{500}{r^{2} }\)

⇒ 4π\(r^{3}\) = 500

⇒ r = 3.41 cm

Now, on substituting this value in the area, we get

⇒ Surface area = 2π\(r^{2}\) + \(\frac{500}{r}\)

⇒ Surface area = 2π\((3.41)^{2}\) + \(\frac{500}{3.41}\)

⇒ Surface area = 221.19 square cm

2.4 The cost of the container can not be determined as no data for the same is provided.

Hence, the complete solution has been obtained.

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Answer: 18

Step-by-step explanation:

Multiply number of each item possible

3*2*3=18

Answer:

10,20,30=20

5,10,1520=20

Step-by-step explanation:

The equation of the line which is parallel to the given line would be y = 8x + 11 and the equation of the line which is perpendicular to the given line would be y = -x + 38.

What is an equation of a line?

A line equation is a single representation of many points on a line. The general form of a line's equation is ax + by + c = 0, and any point on the line satisfies this equation. The slope of the line and a point on the line are the two bare minimums for forming a line equation.

The equation of a line y = 8x -3.

Comparing with the slope-intercept form of the line, we get

                       slope(m) = 8

As we know parallel lines have the same slopes.

So the equation of the line that is parallel to the line y = 8x -3 and passes through the point (-2,-5).

                        point = (-2, -5) ≡ (x1, y1)

                        Slope (m) = 8

By using slope-point form,

                 (y - y1) = m(x - x1)

                 y - (-5) = 8(x - (-2))

                 y + 5 = 8x + 16

                 y = 8x + 11

Now the equation of the line that is perpendicular to this line and passes through the point (-2,-5).

So the slope for this line would be (m) = -1/8

                The equation would be:

                (y - y1) = -1/8(x - x1)

                 y - (-5) = -1/8(x - (-2))

                 8y + 40 = -x -2

                 y = -x + 38

Hence, the equation of the line which is parallel to the given line would be y = 8x + 11 and the equation of the line which is perpendicular to the given line would be y = -x + 38.

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The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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The interest rate on the mortgage is 5 %

Let's begin by using the formula for simple interest:

I = P * r * t

where I is the interest, P is the principal (the amount borrowed), r is the interest rate, and t is the time (in years).

For Mr. G's mortgage, we know that the principal is $155,000 and the time is 30 years. We can use this information to solve for the interest rate, r.

First, we need to calculate the total amount that Mr. G will pay over the life of the loan (the principal plus the interest):

A = P + I

where A is the total amount, P is the principal, and I is the interest.

We know that Mr. G will pay $232,500 in interest, so we can solve for A:

Let's begin by using the formula for simple interest:

I = P * r * t

where I is the interest, P is the principal (the amount borrowed), r is the interest rate, and t is the time (in years).

For Mr. G's mortgage, we know that the principal is $155,000 and the time is 30 years. We can use this information to solve for the interest rate, r.

First, we need to calculate the total amount that Mr. G will pay over the life of the loan (the principal plus the interest):

A = P + I

where A is the total amount, P is the principal, and I is the interest.

We know that Mr. G will pay $232,500 in interest, so we can solve for A:

A = P + I

A = $155,000 + $232,500

A = $387,500

Now we can use the formula for simple interest to solve for the interest rate, r:

I = P * r * t

$232,500 = $155,000 * r * 30

r = $232,500 / ($155,000 * 30)

r = 0.05 or 5%

Therefore, Mr. G's interest rate is 5%.

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Answer: Number 2

Step-by-step explanation: yes

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Given that :

The route to the campsite is 28 cm on the drawing.

The scale on the drawing is 1:300

To find,

The actual length of the route.

Solution,

Let the actual length of the route be x.

Here, map distance : actual distance = 1: 300

\(\dfrac{1}{300}=\dfrac{28}{x}\\\\x=28\times 300\\\\x=8400\ cm\)

So, the actual length of the route is 8400  cm.

Answer:

57.14%

Step-by-step explanation:

To convert any fraction to a percentage you need to multiply it by 100

So,

4/7*100= 57.14 (round it off to two decimal places as the question states)

Step-by-step explanation:

your teacher wrote most of the solution in this picture.

all we need to do is simplify and transform the equation

28/4 = 21/N

7 = 21/N

7N = 21

N = 21/7 = 3

formally, the ratio of corresponding (side) lengths is the same for all corresponding sides or other lines (like heights) in similar shapes.

so, the rate 28/4 = 7/1 = 7 asked also to 21 and N.

28/7 = 4

and

21/7 = N = 3

Answer:

\(\huge\boxed{\boxed{N=3}}\)

Step-by-step explanation:

Hello.

We have the proportion

\(\displaystyle\frac{28}{4} =\frac{21}{N}\)

In order to solve a proportion, we should cross-multiply:

28×N=4×21

28N=84

Divide both sides by 28.

N=3

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

its less than, equal to

The solution to the given algebraic expression 3(2-4x) = 5-8x is x = 1/4

3(2-4x) = 5-8x

open parenthesis

6 - 12x = 5 - 8x

combine like terms

6 - 5 = -8x + 12x

1 = 4x

divide both sides by 4

x = 1/4

Ultimately, x = 1/4 is the answer to the algebraic expression.

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Answer:

No sorry I dont have the assessment. But I hope you have a wonderful day!

Step-by-step explanation:

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:

p^(-9) or 1/p^9

Step-by-step explanation:

Here we have:

  (5p)^(-7)

----------------

   (20p)^2

Let's temporarily remove the coefficient 5/20 and reduce it to 1/4.

then we have:

            1                             1               1

(1/4) -------------  = (1/4) -------------- = ------------

       p^7*p^2               p^(7 + 2)         p^9

Answer:

  (a)  0.6, 0.6, 0.65

Step-by-step explanation:

0.6 is equal to itself, so all instances of it can be grouped together in the list. Any positive decimal number is less than that same number with additional digits appended, so 0.6 < 0.65.

In this list of least-to-greatest, the values 0.6 will precede the value 0.65:

  0.6, 0.6, 0.65