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SVETLANKA909090 [29]

3 years ago

13

Help me pleaseeeeeee

1 answer:

Alenkinab [10]3 years ago

3 0

everything except the last two, I think.

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Sofian's current age is (2x + 3) times Mastura's age. Given that Mastura's current age is (x + 5) years and 6 years ago, the sum

Sliva [168]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ Sofian's current age is (2x + 3) times Mastura's age.

★ Mastura's current age is (x + 5) years

★ 6 years ago, the sum of their ages is 44 years.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ The value of x.

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

<u>According to the question,</u>

Present age of Mastura = (x + 5) years

Present age of Sofian = (2x + 3) (x + 5) years, i.e :

$\longrightarrow \tt (2x + 3) (x + 5)$

$\longrightarrow \tt 2 {x}^{2} + 10x + 3x + 15$

$\longrightarrow \tt 2 {x}^{2} + 13x + 15 \: years$

Now,

Mastura's age 6 years ago = (x + 5) - 6

=> x + 5 - 6

=> x - 1

Sofian's age 6 years ago = 2x² + 13x + 15 - 6

= 2x² + 13x + 9

<u>Usin</u><u>g</u><u> </u><u>the</u><u> </u><u>condi</u><u>tion</u><u> </u><u>provided</u><u> </u><u>by</u><u> </u><u>the</u><u> </u><u>question</u><u>,</u><u> </u>

Mastura's age 6 years ago + Sofian's age 6 years ago = 44

$\longrightarrow \tt (x - 1) + (2 {x}^{2} + 13x + 9) = 44$

$\longrightarrow \tt x - 1 + 2 {x}^{2} + 13x + 9 = 44$

$\longrightarrow \tt 2 {x}^{2} + 14x + 8 = 44$

$\longrightarrow \tt 2 {x}^{2} + 14x + 8 - 44 = 0$

$\longrightarrow \tt 2 {x}^{2} + 14x - 36= 0$

• <u>Takin</u><u>g</u><u> </u><u>"</u><u>2</u><u>"</u><u> </u><u>commo</u><u>n</u><u>.</u>

$\longrightarrow \tt 2 ({x}^{2} + 7x - 18) = 0$

$\longrightarrow \tt {x}^{2} + 7x - 18 = \dfrac{0}{2}$

$\longrightarrow \tt {x}^{2} + 7x - 18= 0$

• <u>Usin</u><u>g</u><u> </u><u>splitting</u><u> </u><u>the </u><u>midd</u><u>le</u><u> </u><u>term</u>

$\longrightarrow \tt {x}^{2} + 9x - 2x - 18 = 0$

$\longrightarrow \tt x(x + 9) - 2(x + 9) = 0$

$\longrightarrow \tt (x + 9) (x - 2) = 0$

either $\tt (x + 9) = 0 \: \: or \: \: (x - 2) = 0$

$\longrightarrow \tt x = - 9 \: \: or \: \: x = 2$

[As the age cannot be negative. So x = - 9 is rejected]

$\therefore \tt \: x = \red{ 2}$

${\large{\textsf{\textbf{\underline{\underline{Verification :}}}}}}$

<u>According to the condition provided by the question, </u>

• Mastura's age 6 years ago + Sofian's age 6 years ago = 44

$\longrightarrow \tt x - 1 + 2 {x}^{2} + 13x + 9 = 44$

<u>Putti</u><u>ng</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>we</u><u> </u><u>get</u><u>,</u>

$\longrightarrow \tt 2 - 1 + 2( {2})^{2} + 13(2) + 9 = 44$

$\longrightarrow \tt 1 + 2 \times 4 + 26+ 9 = 44$

$\longrightarrow \tt 1 + 8 + 26+ 9 = 44$

$\longrightarrow \tt 9 + 26+ 9 = 44$

$\longrightarrow \tt 18 + 26 = 44$

$\longrightarrow \tt 44 = 44$

<u>Henc</u><u>e</u><u> verified</u><u>.</u>

$\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}$

Hope it helps you! :))

6 0

3 years ago

Multiply (-3) by (+1,4

Nuetrik [128]

The product (-3) * (1, 4) is (-3, -12)

<h3>How to multiply the numbers?</h3>

The expression is given as:

(-3) * (1, 4)

Rewrite the expression as

(-3 * 1, -3 * 4)

Evaluate the product

(-3, -12)

Hence, the product (-3) * (1, 4) is (-3, -12)

Read more about products at:

brainly.com/question/10873737

#SPJ1

8 0

2 years ago

A department store sold 67 shirts one day. All short sleeved shirts cost $15.00 each and all long sleeved shirts cost $26.00 eac

earnstyle [38]

37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold

Step-by-step explanation:

Let s be the number of short-sleeved shirts

and

l be the number of long sleeved-shirts

Then according to given statements

$s+l = 67\ \ \ Eqn\ 1\\15s+26l = 1335\ \ \ Eqn\ 2$

From eqn 1:

$s = 67-l$

Putting in equation 2:

$15(67-l)+26l = 1335\\1005-15l+26l = 1335\\1005+11l = 1335\\11l = 1335-1005\\11l = 330$

Dividing both sides by 11

$\frac{11l}{11} = \frac{330}{11}\\l = 30$

Putting l=30 in equation 1

$s+30 = 67\\s = 67-30\\s =37$

Hence,

37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Is a octagon concave or convex

alexandr1967 [171]

Answer:

convex

Step-by-step explanation:

its convex because it has six outer perimeters

5 0

4 years ago

Read 2 more answers

If X = 2 units, Y = 4 units, and Z = 6 units, then what is the approximate perimeter of the object?

Blababa [14]

2 + 4 + 6= 12 units

8 0

3 years ago