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3 years ago

What number added to 1/3 plus 1/4 will equal the number 1?

Mathematics

2 answers:

Drupady [299]3 years ago

5 0

Answer:

$\frac{5}{12}$

Step-by-step explanation:

$\\$Let x be the number:\\$x + \frac{1}{3} + \frac{1}{4} = 1|\cdot 12\\12x + 4 + 3 = 12\\12x = 12 - 7 = 5\\x = \frac{5}{12}$

pentagon [3]3 years ago

5 0

5/12 will equal the number 1 when added

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Please answer this question

max2010maxim [7]

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Mother's age be 6x

Son's age be x

Ages after 10 year :

Mom's age = 6x + 10

Son's age = x + 10

<h3>Part three :</h3>

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

$\scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star$

$\\ \\$

So :

$\small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3}$

$\\ \\$

$\small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1}$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1}$

$\\ \\$

$\small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1}$

$\\ \\$

$\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)$

$\\ \\$

$\small\sf \dashrightarrow 18x +30= \sf 8x + 80$

$\\ \\$

$\small\sf \dashrightarrow 18x - 8x +30= \sf 80$

$\\ \\$

$\small \sf \dashrightarrow 10x +30= \sf 80$

$\\ \\$

$\small \sf \dashrightarrow 10x = \sf 80 - 30$

$\\ \\$

$\small \sf \dashrightarrow 10x = \sf 50$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10}$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0}$

$\\ \\$

$\small\bf \dashrightarrow x = \pink 5$

$\\$

We know :

$\footnotesize \hookrightarrow \sf Son's \: age = x$

$\footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}$

$\\ \\$

$\footnotesize \hookrightarrow \sf Mother's \: age = 6x$

$\footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5$

$\footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}$

And all we are done ! ㋛

4 0

3 years ago

I suck at graphs HELP ASAP QUESTION BELOW

kakasveta [241]

ANSWER

A (-∞,-2)

B (0,4).

EXPLANATION

The portion of the graph that is above the x-axis is considered positive.

From the graph the curve is above the x-axis on the interval

(-∞,-2) and (0,4).

The first and second options are correct.

7 0

3 years ago

Convert the following fractions to decimals. go to the thousandths place 1/8

egoroff_w [7]

Answer: There answer is 0.125

Step-by-step explanation:

If you divide the fraction you will see

8 0

3 years ago

Read 2 more answers

3)5554<br> What the answer?

Anon25 [30]

Answer: the answer is 5.40

8 0

3 years ago

Question 12 (1 point) Given P(A) 0.34, P(A and B) 0.27, P(A or B) 0.44, what is P(B)? Answer in decimal form. Round to 2 decimal

Tema [17]

Answer: The required probability of event B is P(B) = 0.37.

Step-by-step explanation: For two events A and B, we are given the following probabilities :

P(A) = 0.34, P(A ∩ B) = 0.27 and P(A ∪ B) = 0.44.

We are to find the probability of event B, P(B) = ?

From the laws of probability, we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow 0.44=0.34+P(B)-0.27\\\\\Rightarrow 0.44=0.07+P(B)\\\\\Rightarrow P(B)=0.44-0.07\\\\\Rightarrow P(B)=0.37.$

Thus, the required probability of event B is P(B) = 0.37.

6 0

3 years ago