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3 years ago

Rachel is 40 cm taller than Lucy. Rachel is 25 percent taller than Lucy. How tall is Lucy? Explain

Mathematics

1 answer:

tatyana61 [14]3 years ago

5 0

What is 40cm 25% of?
The answer is 160cm.

Rachel is 160cm. 160 - 40 = 120.

Lucy is 120cm tall.

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Hank estimated the width of the door to his classroom in feet. What is a reasonable estimate?

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3 feet by eight feet

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3 years ago

Which table represents a relation that is not function Please urgent

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3 years ago

Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

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3 years ago

What is additive inverse of the check?

elena-14-01-66 [18.8K]

Answer:

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7 0

3 years ago

The average turkey sold in the US in 2005 played about 28 pounds with standard deviation of three times the average in 1965 was

Viktor [21]

In 2005, 23 is in the second deviation
19 22 25 28 31 33 35
In 1965, 23 is in the third deviation.
12 14 16 18 20 22 24
By the way, 13.5% range from 22 to 25 in 2005, while 2.1% range from 22 to 24 in 1965

4 0

4 years ago