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Alex17521 [72]
3 years ago
13

Share 160 sweets in the ratio 8:12

Mathematics
1 answer:
katrin [286]3 years ago
5 0

let's divide the whole by the sum of its ratios, namely let's 160 ÷ (8+12), and then distribute accordingly.

\bf \textit{160 at 8:12 ratio}\qquad \qquad \cfrac{8\cdot \frac{160}{8+12}}{12\cdot \frac{160}{8+12}}\implies \cfrac{8(8)}{12(8)}\implies \cfrac{64}{96}

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Step-by-step explanation:

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3 years ago
A science museum has a spherical model of the earth with a diameter of 6.5 m. What is the volume of the model? Use 3.14 for and
natka813 [3]

radius = diameter/2

radius = 6.5/2  =   \frac{13}{4}m

<span>volume  </span>=  \frac{4}{3} x \pi x (radius)³

              =  \frac{4}{3} x \pi x ( \frac{13}{4})^3

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6 0
3 years ago
A standard deck of cards contains 52 cards. one card is selected from the deck. ?(a) compute the probability of randomly selecti
Rama09 [41]
Let
P(h)= probability of selecting heart = 13/52= 1/4
similarly
P(s)= probability of selecting spade =1/4
P(c)= probability of selecting club =1/4
P(d)= probability of selecting diamond =1/4

a)

P(h or s)= P(h)+P(s)= 1/4+1/4=2/4=1/2=0.5

b)

P(h or s or c)=P(h)+P(s)+P(c)=1/4+1/4+1/4=3/4=0.75

c) 

P(2 or a diamond)=n(2heart, 2spade,2club,13 diamonds)/total number of cards

=(1+1+1+13)/52=16/52=4/13=0.3

or we could solve it as follows:

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3 0
3 years ago
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ankoles [38]
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4 0
3 years ago
Write a linear function f with the values f (0) =-1 and f (3)= -10
dmitriy555 [2]

Answer:

The linear function is y = -3x -1.

Step-by-step explanation:

A linear function is given by the formula,

y = (m)x + c, where m is the slope and c is the y intercept of function.

The following two points lie on the graph; (0,-1) and (3,-10)

Inserting this two points we get,

-1 = c

-10 = (m)(3) + c,

solving this two equations we get,

m = -3 and c= -1

Thus, the linear function is given by,

y = -3x -1

5 0
3 years ago
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