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3 years ago

Solve to following equation for x: 6(4x +5) = 3(x + 8) +3

1 answer:

7 0

6 * 4x = 24x
6 * 5 = 30

3 * x = 3x
3 * 8 = 24

24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27

subtract 3x from both sides

21x + 30 = 27

subtract 30 from both sides

21x = -3

divide both sides by 21

x = -1/7

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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

Solution-

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

Pls help due soon ty

Feliz [49]

The first table : y=4x
the second table: y=1.5x
the third table: y= 1.25x

if you want help on how to do it: plug each of those equations into the “desmos” graph! from looking at those table points (x,y) you can find which equation matches the table

for instance on table one: I put y=4x into desmos then looked at graph one, I chose the point (2,8) I went to 2 on the x axis and moved my finger up 8 and that point was directly on the line meaning that table matches the equation. be sure to also do the same thing with the other points to double check!

5 0

3 years ago

Read 2 more answers

A boy purchased(bought) a party length sandwich 59 in long. He wants to cut it into three pieces so that the middle piece is 6in

Leviafan [203]

Ok so let's start with what we know- the shortest piece is 8 inches so there's one length... then the middle piece is 6 inches longer than the shortest (6+ 8) so the middle piece would be 14 inches long. To find the last piece we can add up the other two pieces we know (14+8) which would be 22 and subtract that from how long the whole sandwich is (59-22) which would be 37 inches long. So in the end he shortest piece would be 8 inches, the middle 14 inches and the longest 37 inches.

8 0

2 years ago

If 203 turnips are to be shared equally among 7 rabbits. how many should each rabbit receive?

denpristay [2]

Answer:

Step-by-step explanation:

203/ 7 = 29

3 0

2 years ago

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Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4

Archy [21]

Answer:

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

Step-by-step explanation:

Sam's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.

Bruno's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.

1 kilometer = 0.621 miles.

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

We will divide a larger value by a smaller value to get the smaller units

5 0

3 years ago