Daniela has a162 ounce bag of potting soil.she puts an equal amount of soil in 4 pots.how much soil will she put in each pot?how many ounces are left over ?explain how you know.

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Answer:

5(x+2)

Step-by-step explanation:

5x + 10=

Factor out 5

5(x+2)

Answer:

\(5(x + 2)\)

Step-by-step explanation:

Get 5 out

\(5x + 10 \\ 5(x + 2)\)

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Functions.

So here to get the (f-g) (x) , we do the subtraction of the two functions now,

==> 8x + 5 - (9x -2)

===> 8x + 5 -9x +2

===> 8x - 9x +7

==> -x + 7

hence the new function (f-g) (x) = 7 - x

and the domain is from (- infinite to + infinite)

\(domain = ( - \infty \: to \: \infty )\)

Answer:

Correct option is

C

2  

n

−1

Given that f(n+1)=2f(n)+1,n≥1.  

Therefore, f(2)=2f(1)+1

Since f(1)=1, we have

f(2)=2f(1)+1=2(1)+1=3=2  

2

−1.

Similarly f(3)=2f(2)+1=2(3)+1=7=2  

3

−1

and so on....

In general, f(n)=2  

n

−1

Was this answer helpful?Correct option is

C

2  

n

−1

Given that f(n+1)=2f(n)+1,n≥1.  

Therefore, f(2)=2f(1)+1

Since f(1)=1, we have

f(2)=2f(1)+1=2(1)+1=3=2  

2

−1.

Similarly f(3)=2f(2)+1=2(3)+1=7=2  

3

−1

and so on....

In general, f(n)=2  

n

−1

Was this answer helpful?

Step-by-step explanation:

The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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Answer:

18

Step-by-step explanation:

\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

180 degrees

Step-by-step explanation:

The triangle ABC is rotated by 180 degrees.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

We are given the diagram of a triangle on a graph and the diagram of its image after rotation also.

We have to find out that by what degrees the triangle ABC is rotated about the origin counterclockwise.

Furthermore, we can clearly see that the shape of the triangle is flipped about the origin, hence we can easily understand that the triangle is rotated by 180 degrees only, because if it's rotated by any other angle than 180 degrees it will not look like it's flipped rather it would look like unsymmetrical transformation about the origin.

The triangle ABC is rotated by 180 degrees.

Hence, The triangle ABC is rotated by 180 degrees.

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Answer:

it is parralel

Step-by-step explanation:

The slopes of 10x+5y=−5 and y=−2x+6 are both −2.Parallel

Answer:

x ≥ 3

Step-by-step explanation:

- 3(2x - 1) ≤ x - 18 ← distribute parenthesis on left side

- 6x + 3 ≤ x - 18 ( subtract x from both sides )

- 7x + 3 ≤ - 18 ( subtract 3 from both sides )

- 7x ≤ - 21

divide both sides by - 7, reversing the symbol as a result of dividing by a negative quantity.

x ≥ 3

Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

Answer:

1/4 of the dozen is broken

Step-by-step explanation:

The solution to the given inequality is x<2. Therefore, option C is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is |x|+1<3.

Here, subtract 1 on both the sides of an inequality, we get

x<2

Therefore, option C is the correct answer.

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Answer:

1/4 and -20

Step-by-step explanation:

"Slope" just means the change in y divided by the change in x. In the first graph, the slope is the change in depth divided by the change in hours.

Using the equation, slope = (y - y1)/(x - x1), you can plug in 2 points and solve. I see that the line goes through the points (4,1) and (8,2), so I'll use these. Make sure that (x,y) are from the same point and (x1,y1) are from the same point.

slope = (2 - 1)/(8 - 4)

slope = 1/4

You can do the same process for the second graph but you'll use different points. I see the points (2,80) and (4,40), so I'll use those.

slope = (40 - 80)/(4 - 2)

slope = -40/2

slope = -20

Answer:

30° and 150°

Step-by-step explanation:

supplementary means that the sum of the measures = 180

let's say 1 angle is labled ∠A and the other ∠B

m∠A + m∠B = 180°

however, m∠A = 5 * m∠B

so, by substituting that:

5*m∠B + m∠B = 180°

6*m∠B = 180°

m∠B = 30°

m∠A = 150°

Answer:

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

Let's simplify left sides of each statement and compare with right sides:

The expected value of the random variable D is 6.. This gives us the following equation :E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6)

The expected value of the random variable D, E[D], can be calculated using the following formula :E[D] = ΣD P(D) Where ΣD is the sum of all possible values of D and P(D) is the probability of each of those values. In this case, the possible values of D are 0, 1, 2, 3, 4, 5. The probability of each of these values is the same, since each has an equal chance of being rolled on the dice. To calculate the expected value, we must multiply each value of D with its probability, and then sum all of these products. This gives us the following equation:E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) .E[D] = 36/6 = 6.Therefore, the expected value of the random variable D is 6.

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Answer:

The expression in the form \(7^n\)

 \(7^2\times \:\:7^6=7^n\)      

Step-by-step explanation:

\(7^2\:\times \:7^6\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}\)

\(7^2\times \:7^6=7^{2+6}\)

So the expression becomes

\(7^2\:\times \:7^6=7^{2+6}\)

              \(=7^{2+6}\)

Add the numbers: 2+6=8

              \(=7^8\)

Therefore, the expression in the form \(7^n\)

 \(7^2\times \:\:7^6=7^8\)                        

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Step-by-step explanation:

6.3%

that is the correct answer

Answer:

A

Step-by-step explanation:

Answer:

product A

75%

67%

Product B

Step-by-step explanation:

I just found the percentage by dividing the amount of people who found relief into the whole

Hopes this helps please mark brainliest

Answer: D) 53.74

This value is approximate.

===========================================

Work Shown:

x = length of AB

Use the sine rule to say

sin(angle) = opposite/hypotenuse

sin(B) = AC/AB

sin(61) = 47/x

x*sin(61) = 47

x = 47/sin(61)

x = 53.7376 ..... make sure your calculator is in degree mode

x = 53.74

So AB = 53.74 approximately

Answer:

Step-by-step explanation:

10 + 8x =10003

8x = 10003 - 10

8x = 9993

X = 9993 ÷ 9

Step-by-step explanation:

Rearrange = 10 + 8 x =10003

                      8x + 10 = 10003

 subtract both= 8x + 10 = 10003

                          8x + 10 -10= 10003-10

 simplify=  subtract the number  8x = 999

Divide the both number = 8x = 9993

                                         8x/8 =993/8

And them simplify it again = x = 9993/8

that is the complete answer to the question

Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

Based on the number, 98.48, the number you need to multiply by to get rid of the decimal is 100.

The number that you multiply a number with if you want to remove the decimal has to be a power of 10. The power of 10 used will depend on the number of figures after the decimal.

If there is a single number after the decimal point, then multiply by 10.

If there are two numbers after the decimal point, multiply by 100.

If there are three numbers after the decimal point, multiply by 1,000.

In the case of 98.48, there are two number after the decimal point so you'll multiply by 100 to get:

= 98.48 x 100

= 9,848

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Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry