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IceJOKER [234]
3 years ago
5

Half x + 10 equals quarter x + 54

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0
½(x+10) = ¼(x+54)
Solving it

x/2 + 5 = x/4 + 13.5
x/2 - x/4 = 13.5 - 5
x/4 = 8.5
x = 8.5 × 4 = 34
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PLEASE I NEED HELP SO I CAN MOVE ON WITH MY HW
AnnZ [28]

At the 2/8 part, just use the quadratic formula.  If you use it, you should get the other two zeroes:

-4+\frac{\sqrt{14}}{2} \\ -4-\frac{\sqrt{14}}{2}

7 0
3 years ago
Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the neare
Rainbow [258]

Answer:

0.4

Step-by-step explanation:

The question is not complete, the correct question is:

Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary

Answer: Two events (event X and event Y) are said to be independent if the probability of event X occurring does not affect the probability of event Y occurring and vice versa. If the probability of X = P(X) and the probability of Y = P(Y), therefore P(X and Y) = P(X) × P(Y).

Given that P(Y) = 5/6 and P(X and Y) = 1/3. Therefore:

P(X and Y) = P(X) × P(Y)

Making P(X) the subject of formula by dividing through by P(Y) gives:

P(X)=\frac{P(X\ and\ Y)}{P(Y)} \\Substituting\ values:\\P(X)=\frac{\frac{1}{3} }{\frac{5}{6} }=\frac{1}{3} *\frac{6}{5}=\frac{2}{5}=0.4\\   P(X)=0.4

5 0
3 years ago
Read 2 more answers
Prove the following limit. lim x → 5 3x − 8 = 7 SOLUTION 1. Preliminary analysis of the problem (guessing a value for δ). Let ε
Temka [501]

\displaystyle\lim_{x\to5}3x-8=7

means to say that for any given \varepsilon>0, we can find \delta such that anytime |x-5| (i.e. the whenever x is "close enough" to 5), we can guarantee that |(3x-8)-7| (i.e. the value of 3x-8 is "close enough" to the limit value).

What we want to end up with is

|(3x-8)-7|=|3x-15|=3|x-5|

Dividing both sides by 3 gives

|x-5|

which suggests \delta=\dfrac\varepsilon3 is a sufficient threshold.

The proof itself is essentially the reverse of this analysis: Let \varepsilon>0 be given. Then if

|x-5|

and so the limit is 7. QED

8 0
3 years ago
I need help with this math problem may someone please help me
KonstantinChe [14]

Answer:

I got \frac{-8}{7}

Please correct me If I'm wrong

Step-by-step explanation:

\frac{b-c}{a}

\frac{-3-5}{7}

\frac{-3-5}{7}= \frac{-8}{7}

3 0
3 years ago
2p + 7p = 54 <br> Need to share more work
Alexeev081 [22]

Answer:

p=6

Step-by-step explanation:

2p + 7p = 54

Combine like terms

9p = 54

Divide by 9

9p/9 = 54/9

p = 6

3 0
3 years ago
Read 2 more answers
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