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sweet [91]
3 years ago
10

He variable y is directly proportional to the variable x . If y = 10 when x = 6, what is the value of y when x = 15?

Mathematics
2 answers:
Delicious77 [7]3 years ago
4 0

Answer:

B. 25

Step-by-step explanation:

10+6=16

if it is proportional, then it would be 25 to get 15.

tresset_1 [31]3 years ago
3 0

Answer:

25

Step-by-step explanation:

y = kx

10 = 6k

5

3

= k

y =

5

3

(15)

y = 25

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You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What i
garik1379 [7]

Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

Probability of 2 G.Smith = 0.1144

Probability of 1 Red Delicious = 0.4559

Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

Probability of Pulling 1 of each

= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

Probability = 14/68

Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68

Probability = 4991/157216

Probability = 0.03175

Probability of Pulling out 4 Honey Crisp;

= P(Honey) * P(Honey) * P(Honey) * P(Honey)

= (P(Honey))⁴

= (7/34)⁴

= 2401/1336336

= 0.001797

Probability of Pulling 2 Granny Smiths;

= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

3 0
3 years ago
Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is
bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula m=\frac{y_2-y_1}{x_2-x_1} to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is m=\frac{6-1}{2-3}

\implies m=\frac{5}{-1}=-5.

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is m=\frac{4-5}{-2- -2}=\frac{-1}{0}= undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is m=\frac{10-8}{2-0}=\frac{2}{2}=+1

A positive slope means this line rises

24)  The points are (-3,-3), (3,1)

The slope is m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2

A negative slope means this line falls

26)  The points are (-2,-8) , (5,-8).

Slope: m=\frac{-8--8}{5--2}=\frac{0}{7}=0

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: m=\frac{3-2}{5--1}=+\frac{1}{6}

A positive slope means this line rises

28) The points are: (\frac{1}{2},4), (-1,4)

Slope: m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0

A zero slope means the line is horizontal

29) The points are: (4,\frac{1}{2}), (5,\frac{1}{4})

Slope: m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}

A negative slope means this line falls.

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Answer:

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Answer:

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8 0
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Vinvika [58]

Answer:

86

Step-by-step explanation:

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3 years ago
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