All categories

3 years ago

8x+5=29;3 can someone pls explain :)

Mathematics

2 answers:

lesya [120]3 years ago

8 0

Answer:

Step-by-step explanation:

8x+5=29, x=3

subtract 5 on each side

8x=24

then divide by 8 on both sides to isolate x

x=3

mylen [45]3 years ago

6 0

8x+5=29.3
1) move +5 to the right side
8x=29.3
2) divide 8x on both sides
x= 29.3/8
3) answer
x=3.6625

You might be interested in

Can you please explain how you did it. Thanks!

vivado [14]

Well first you would start by setting up with a proportion.
In total, the girls paid $54+$22= $76
Thus 1 sister contributed $54/$76=x/100
The other sister contributed $22/$76=x/76
For each proportion, cross-multiply and simplify to get the percentage. The percentage will be the x

5 0

3 years ago

Read 2 more answers

Ok guys my friend is telling me that i am doing this problem wrong 4^4+1/2=256.5 and he is tell me that it is 16.5 am i right or

Alexxx [7]

Simplify 4^4 to 256

256 + 1/2 = 256.5

Simplify 256 + 1/2 to 513/2

513/2 = 256.5

Since both sides equal, there are infinitely many solutions.

3 0

3 years ago

Read 2 more answers

An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What

galina1969 [7]

Answer:

Part A:

The probability that all of the balls selected are white:

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

$P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

Step-by-step explanation:

A is the event all balls are white.

D_i is the dice outcome.

Sine the die is fair:

$P(D_i)=\frac{1}{6}$ for i∈{1,2,3,4,5,6}

In case of 10 black and 5 white balls:

$P(A|D_1)=\frac{5_{C}_1}{15_{C}_1} =\frac{5}{15}=\frac{1}{3}$

$P(A|D_2)=\frac{5_{C}_2}{15_{C}_2} =\frac{10}{105}=\frac{2}{21}$

$P(A|D_3)=\frac{5_{C}_3}{15_{C}_3} =\frac{10}{455}=\frac{2}{91}$

$P(A|D_4)=\frac{5_{C}_4}{15_{C}_4} =\frac{5}{1365}=\frac{1}{273}$

$P(A|D_5)=\frac{5_{C}_5}{15_{C}_5} =\frac{1}{3003}=\frac{1}{3003}$

$P(A|D_6)=\frac{5_{C}_6}{15_{C}_6} =0$

Part A:

The probability that all of the balls selected are white:

$P(A)=\sum^6_{i=1} P(A|D_i)P(D_i)$

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

We have to find $P(D_3|A)$

The data required is calculated above:

$P(D_3|A)=\frac{P(A|D_3)P(D_3)}{P(A)}\\ P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

7 0

3 years ago

Solve the equation 3(x - 7) = 42

Effectus [21]

Answer:

x=21.

Step-by-step explanation:

First you distribute 3 to the parenthesis. You should get 3x-21=42 at this point. Then you add 21 to 42 to get 63. Here you should be at 3x=63. Divide 63 by 3 to get x=3

6 0

3 years ago

Read 2 more answers

Three Questions 1) What does 5 7/8 - 2 3/8 equal? and 2)What does 5 7/12 -4 1/12 equal?3) What does 3 5/10 - 1 3/10 equal?

stiks02 [169]

1) 28/8=3 1/2
2) 18/12=1 1/2
3) 22/10=2 1/5

7 0

3 years ago