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3 years ago

14

What is the highest common factor of 49, 91, 84.

1 answer:

Anna [14]3 years ago

7 0

The highest common factor is 7:
49=7*7
84=7*12
91=7*13

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Solve the following equation using the distributive property.

svetoff [14.1K]

Step-by-step explanation:

$41.4 = 3.6(x + 4.5)$

$=> 41.4 = 3.6x + 3.6(4.5)$

$=> 41.4 = 3.6x + 16.2$

$=> 3.6x = 41.4 - 16.2 = 25.2$

$=> x = \frac{25.2}{3.6} = 7$

5 0

3 years ago

Please answer this question

max2010maxim [7]

<h3>━━━━━━❃━━━━━━</h3>

<h3>Part one :</h3>

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

<h3>Part two :</h3>

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 :

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\$

<h3>Part four :</h3>

We know :

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

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

$\\ \\$

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

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

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

<h3>━━━━━━❃━━━━━━</h3>

And all we are done ! ㋛

<h3>~ $\pmb{\cal W\frak{indy}M\frak{int}}$ ༄</h3>

4 0

2 years ago

101,112,131,415,161, next number in sequence

miskamm [114]

This actually a puzzle, not a math problem.

Write it out with no commas:
101112131415161
it actually says 10, 11, 12, etc.

so the next number would be 718

7 0

3 years ago

Read 2 more answers

What is the relationship between the sine and cosine of complementary angles? a They are the same. b They are reciprocals. c The

yanalaym [24]

Answer:

A. They are the same.

Step-by-step explanation:

The sine of any acute angle is equal to its cosine.

6 0

3 years ago

The total points scored in the games of an NBA playoff series: 195 177 215 200 189 232 201 199 192 201

Sonja [21]

Step-by-step explanation:

something is missing. maybe mean, median

3 0

3 years ago