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Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly's current age in terms of Nancy's? Which expression represents Molly's current age in terms of Zander's? Nancy is currently 10 years old, and Zander is 14. How old is Molly?​

Answers

Answer 1
Answer:

Answer: 1.) 2n 2.) z+6 3.) 20 years old

Step-by-step explanation:
Answer 2
Answer:

Answer:

answer one: 2n

answer two: z + 6

answer three: 20 years old

Step-by-step explanation:

edge 2020

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Did i do this correctly?​
For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,500 students wore their school colors while 300 students did not wear green and white. What percent of the school population did not wear their school colors?
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The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangle

Fill in the missing numbers to complete the linear equation that gives the rule for this table.

Answers

Answer:

y = -2x + -17

Step-by-step explanation:

Which graphs represent functions?

Answers

i would say the answer is c. only graph d ,, think of the line test to see if a graph is a function or not

Final answer:

Graphs that represent functions have one input corresponding to one output. Examples include straight lines, parabolas, and sine waves.

Explanation:

Graphs that represent functions are those in which every input has exactly one output. In other words, there can only be one value of y for each value of x.  For example, a straight line, a parabola, or a sine wave are graphs that represent functions.

On the other hand, graphs that do not represent functions may have one input value mapping to multiple output values or no output values at all. Examples of such graphs include circles, ellipses, or a graph with one vertical line intersecting it at multiple points.

It's important to note that in a function, the vertical line test can be used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

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This exercise involves the formula for the area of a circular sector. the area of a sector of a circle with a central angle of 170° is 70 m2. find the radius of the circle. (round your answer to one decimal place.) m

Answers

The formula of interest is
A = (1/2)r²·θ
You have A = 70 m², θ = 170° = 17π/18 rad. Then the radius is found from
70 m² = (1/2)r²(17π/18)
(36·70 m²)/(17π) = r²
r ≈ √47.18476 m
r ≈ 6.9 m

The radius of the circle is 6.9 m.

How to find the radius of the circle?

The  area of the sector of a circle given by the formula:

A = /360 *  (r²)

where r is the radius of the circle and is the central angle of the sector

We have:

= 170°

A = 70 m²

We need to solve for r:

A = /360 *  (r²)

70 = 170/360 * * r²

r² = (70 * 360)/(170 * )

r² = 47.18

r = √47.18

r = 6.9 m

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To make lemonade you can mix 4 teaspoons of lemonade powder with 16 ounces of water. What is the ratio of powder towater?
4:32
32:8
24:64
32:128

Answers

Answer:

32:128

Step-by-step explanation:

divide all of it by 2, you get 16:64. Again, 8:32. Again, 4:16

Determine whether the geometric series is convergent or divergent. 6 + 5 + 25/6 + 125/36 + ... If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Answers

The n-th term in the series is 6 multiplied by the (n-1)-th power of 5/6:

a_1=6=6\left(\frac56\right)^(1-1)

a_2=5=6\left(\frac56\right)^(2-1)

a_3=\frac{25}6=6\left(\frac56\right)^(3-1)

and so on.

\displaystyle\sum_(n=1)^\infty6\left(\frac56\right)^(n-1)

Consider the N-th partial sum,

S_N=\displaystyle\sum_(n=1)^N6\left(\frac56\right)^(n-1)

S_N=6\left(1+\frac56+\cdots+(5^(N-2))/(6^(N-2))+(5^(N-1))/(6^(N-1))\right)

Multiplying both sides by 5/6 gives

\frac56S_N=6\left(\frac56+(5^2)/(6^2)+\cdots+(5^(N-1))/(6^(N-1))+(5^N)/(6^N)\right)

and substracting this from S_N gives

\frac16S_N=6\left(1-(5^N)/(6^N)\right)

S_N=36\left(1-\left(\frac56\right)^N}\right)

As N\to\infty, it's clear that the sum converges to 36.

Final answer:

The geometric series in the question is convergent with a common ratio of 5/6. Using the formula for the sum of an infinite geometric series, the sum of the series is found to be 36.

Explanation:

In mathematics, specifically in series, determining whether a geometric series is convergent or divergent is centered around the common ratio value. In terms of this particular series: 6 + 5 + 25/6 + 125/36 + ..., the common ratio is 5/6. Given this common ratio, it's clear that it falls between -1 and 1. Hence, this geometric series is convergent.

Once we establish it is a convergent series, we can calculate its sum using the formula for the sum of an infinite geometric series: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio. Inserting the respective values a = 6 and r = 5/6, we get: S = 6 / (1 - 5/6) = 36. Hence, the sum of this infinite geometric series is 36.

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You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that choose an orange candy out of the bowl? ​

Answers

Answer:

20/100 or 20%

Step-by-step explanation:

Let's see how many candies are in total.

5 orange + 6 blue + 3 green + 4 red + 7 yellow = 25 in total

So there are 5/25 orange candies.

5/25 x 4 = 20/100 (I multiplied by 4 to get the denominator 100)

If you need it in percent it is 20%.

I hope this is helpful for you!
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