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Anna71 [15]
3 years ago
8

A spinner has 8 equal-sized sections. Six of the sections are orange.

Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

Answer:

6 put of 8, 3/4, or 75%

Step-by-step explanation:

Hope this helps ! :)  good luck

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Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81
Norma-Jean [14]

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

8 0
2 years ago
Read 2 more answers
A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
Alisiya [41]

Answer:

y = \frac{1}{4} x  

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula m= \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}

Thus, the slope is \frac{1}{4}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for m, x_1, and y_1.

Since m represents the slope, substitute \frac{1}{4} for it. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x

5 0
2 years ago
I need help asap plz
Lostsunrise [7]

Answer:

A

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are x and y.

To find the constant of proportionality, all we have to do is divide any value of y by its corresponding value of x. Let's take the values in the first row of the table. We know that x=2 and y=12, so the constant of proportionality is \frac{y}{x}=\frac{12}{2} =6. Hope this helps!

7 0
2 years ago
Mary​'s car will go 261 miles on 14.5 gallons of gasoline in highway driving.
suter [353]

Answer:

a) 91 1/6 gallons

b) 2502 miles

Step-by-step explanation:

You are given a number of miles and a number of gallons for the car. The ratio of these numbers is ...

  (261 mi)/(14.5 gal) = 18 mi/gal

We presume this value is constant for this car. Then the questions can be answered by forming and solving a proportion:

a) 1641 miles/(gallons) = 18 mi/(1 gal)

Multiplying by gallons and dividing by 18 mi/gal, we get

  1641/18 gal = (gallons) = 91 1/6 gal

It will take 91 1/6 gallons of gasoline for Mary to drive to her friend's house.

___

b) Same deal, but the miles are unknown.

  (miles)/(139 gal) = (18 mi)/(1 gal)

Multiplying by 139 gal gives ...

  (18 mi)·139 = (miles) = 2502 mi

139 gallons of gasoline will let Mary drive 2502 miles.

3 0
2 years ago
Approximately how many times greater os 6x10-5 then 5x10-9?
lions [1.4K]

Answer:

14

Step-by-step explanation:

6 x 10 = 60

60 - 5 = 55

5 x 10 = 50

50 - 9 = 41

55 - 41 = 14


6 0
3 years ago
Read 2 more answers
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