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pentagon [3]
3 years ago
12

A is 5 years older than T. In 3 years, T will be 2/3 A age. How old is A?

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

12 years

Step-by-step explanation:

T + 5 = A

Therefore T =A - 5

In three years T = 3+ (A-5)

thus T = A - 2

Also in three years T = 2/3 (A+3)

Equating the two

A -2 = 2/3 (A+3)

3A - 6 = 2A + 6

3A - 2A = 6 + 6

Therefore A = 12

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(+5)-(-3)=<br> (Integers)
saul85 [17]

Answer:

8

Step-by-step explanation:

it is positive 8 because the negative outside the parenthesis cancels out the -3 making it positive now give me brainliest

5 0
2 years ago
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Use the net to find the surface area of the rectangular prism.
Komok [63]

Answer:

220

Step-by-step explanation:

The surface area is  given by

SA = 2 ( lw+wh+lh)  where  l is length h is height and w is width

SA = 2(3*4 + 3*14+ 4*14)

     = 2(12+42+56)

    = 2(110)

    = 220

3 0
3 years ago
Solve 4/7- (-4/7)<br>A. 8/7<br>B.-8/7<br>C.-4/7<br>D.4/7​
mart [117]

Answer:

A. 8/7

Step-by-step explanation:

<h3>Step 1     </h3>

4/7 - (-4/7) --> 4/7 + 4/7

The two minutes turn into a plus, removing the bracket.

<h3>Step 2</h3>

4/7 + 4/7 = 8/7

Add the two fractions together.

3 0
1 year ago
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three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen
almond37 [142]

The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

<em><u>Solution:</u></em>

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

"sum of seven times the same number and thirteen" means 7x + 13

<em><u>Thus the algebraic expression for given statement is:</u></em>

3(x+4)+(7x + 13)

<em><u>Using distributive property in above expression</u></em>

a(b+c) = ab + bc

Therefore,

3(x+4)+(7x + 13) = 3x + 12 + 7x + 13

<em><u>Combine the like terms</u></em>

3(x+4)+(7x + 13) = 10x+25

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

7 0
3 years ago
Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th
Digiron [165]

Answer:

P(X = 0) = 0.0263

P(X = 1) = 0.1407

P(X = 2) = 0.3012

P(X = 3) = 0.3224

P(X = 4) = 0.1725

P(X = 5) = 0.0369

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.517

Distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263

P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407

P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012

P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224

P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725

P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369

6 0
3 years ago
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