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4 years ago

A building is 120 meters tall. A scale model of the building uses a scale of 1 centimeter = 6 meters. How tall is the model?

Mathematics

1 answer:

Harlamova29_29 [7]4 years ago

3 0

Answer:

20 cm

Step-by-step explanation:

If the scale says that the building uses the scale or 1 cm: 6 meters. You pretty much just take 120 and divide by 6. You take that answer and turn the units in cm.

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. Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 - 5x - 24 = 0

Viefleur [7K]

Answer:

$(x+3)(x-8)=0$

Step-by-step explanation:

First, write out the equation as it is given in the problem:

$x^{2}-5x-24=0$

Now, you have to split up the "-5x" to get to factored form. The way to do this is to look for the factors of "a" times "c" that sum to "b":

So, in this problem, a=1, b=-5, and c=-24. So, find the factors of (1*-24) that sum to (-5). To clarify, (1*-24)=-24, so you have to find factorsof -24 that sum to -5.

Let's write out a list of factors.

$1,-24---1+-24=-23no\\-1,24---1+24=23no\\2,-12---2+-12=-10no\\-2,12----2+12=10no\\3,-8---3+-8=-5yes$

Therefore, our two factors will be 3x and -8x.

Now, let's rewrite our equation with these new factors in place of the -5x:

$x^{2}-5x-24=0\\x^{2}+3x-8x-24=0$

Next, find your factored expressions:

$x^{2}+3x-8x-24=0\\(x^{2}+3x)(-8x-24)=0\\$

Take the GCF from each set of parenthesis:

$x(x+3)-8(x+3)=0$

The GCFs that you took out will become your second in the set for factorde form. It will be written as "x-8".

Therefore, your equation in factored form will be:

$(x+3)(x-8)=0$

3 0

3 years ago

(5-3) + (10+5) O A. 15+81 O B. 15+ 21 O C. -5+21 O D.-5+81 SUBN

nirvana33 [79]

The answer is C) -5+21

8 0

3 years ago

What is 11/42 simplified?

kramer

The anser would be 11/42

3 0

3 years ago

According to a recent? study, 8.6?% of high school dropouts are? 16- to? 17-year-olds. In? addition, 5.7?% of high school dropou

Natalija [7]

Answer:

0.6628 or 66.28%

Step-by-step explanation:

The probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old is determined by the probability of them being a white 16 to 17 years old dropout (5.7%), divided by the probability of them being a 16 to 17 years old dropout of any ethnicity (8.6%):

$P(W|16\ to\ 17)=\frac{P(W\ and\ 16\ to\ 17)}{P(16\ to\ 17)} =\frac{0.057}{0.086}\\P(W|16\ to\ 17)=0.6628=66.28\%$