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3 years ago

Hello! i'd like someone to help me convert this problem to an equation, please !! i don't need the result :(

Mathematics

1 answer:

Lady_Fox [76]3 years ago

4 0

Answer:

Step-by-step explanation:

We can set Andrea's current age as x.

In 11 years, her age will be half the square of her age 13 years ago. We get the equation:

$x+11=\frac{(x-13)^2}{2} \\2(x+11)=(x-13)^2\\2x+22=x^2-26x+169\\x^2-28x+147=0\\(x-21)(x-7)=0\\x=21, x=7$

Ok, now we know that Andreas age could be either 21 or 7. However, the problem states that "in 11 more years my age will be hald the square of my age 13 years ago." It would not make sense for Andrea to be currently 7 if she was not yet born 13 years ago.

Therefore, Andrea's age is 21.

I hope this helps! Let me know if you have any questions :)

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Write an expression for the perimeter of the triangle shown below: (4 points)

mario62 [17]

Answer:

The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides

Let us solve the problem

∵ The lengths of the sides of a triangle are:

0.5x + 9
3x
-3.4x - 25

∵ The perimeter of the triangle = sum of lengths of its sides

∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)

→ Add the like terms

∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)

→ Remember (+)(-) = (-)

∴ The perimeter = (3.5x - 3.4x) + (9 - 25)

∴ The perimeter = 0.1x + -16

∴ The perimeter = 0.1x - 16

The expression of the perimeter of the triangle is 0.1x - 16

7 0

3 years ago

What is the value of x.

charle [14.2K]

Answer:

$x=13$

Step-by-step explanation:

The angle on a straight line is always 180 degrees.

Thus,

$(12x-26)+50=180$

Remove the brackets:

$12x-26+50=180$

$12x+24=180$

Subtract 24 from both sides:

$12x+24-24=180-24$

$12x=156$

Divide both sides by 12:

$\frac{12x}{12}=\frac{156}{12}\\$

$x=13$

5 0

3 years ago

A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size. What is the

mina [271]

Answer:

40 feet by 4 feet

Step-by-step explanation:

Given length (l) = 100 feet

width (w) = 10 feet

As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.

So,

New length = 100 * 2/5 = 40 feet

New width = 10 * 2/5 = 4 feet

Therefore, the scale of new drawing would be 40 feet by 4 feet

4 0

4 years ago

Donald has x twenty-dollar bills and 1 ten-dollar bill. How much money does Donald have?

soldi70 [24.7K]

Answer:

10 +(20x)

Step-by-step explanation:

Donald has number of twenty-dollar bills = x

He has ten-dollar bill = 1

Total amount of bills = 10 +(20x)

The amount of the bill that Donald have is 10 + (20x)

4 0

4 years ago

Long division 3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2

inna [77]

$(6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2) / (3x+1)$

We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.

$6 x^{6}/3x = 2 x^{5} \\ \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\$

We repeat previous steps until we run out of numbers:
$3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2$
$\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}$

We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
$(2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )$

6 0

3 years ago