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2 years ago

7

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sport

s stadium is 180 feet.
What is the height of the scale model in inches?

1 answer:

bija089 [108]2 years ago

7 0

The height of the model in inches would be 6. if you multiply 30 until it reaches 180 you will have 6.

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You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar an

vichka [17]

Whatever% of anything is just (whatever/100) * anything.

let's say we'll add "x" cups of pure vinegar, pure vinegar meaning is 100% vinegar.

how much vinegar is there in "x" cups of 100% vinegar? well (100/100) * x, or just "x".

how much vinegar is there in 10 cups of 10% vinegar? well, (10/100) * 10, or just 1.

say after adding the "x" cups to the 10 cups, we end up with "y" cups, of 50% of vinegar.

how much is 50% of y? well, (50/100) * y or 0.5y.

bearing in mind that x+10 = y, both cups amounts added up, and that x+1=0.5y, both vinegar amounts added up, thus

$\bf \begin{array}{lccclll}
&\stackrel{cups}{amount}&\stackrel{vinegar~\%}{amount}&\stackrel{vinegar~cups}{quantity}\\
\textit{100\% vinegar}&x&1.00&x\\
\textit{10\% cups}&10&0.10&1\\
------&------&------&------\\
mixture&y&0.5&0.5y
\end{array}
\\\\\\
\begin{cases}
x+10=\boxed{y}\\
x+1=0.5y\\
----------\\
x+1=0.5\left( \boxed{x+10} \right)
\end{cases}
\\\\\\
x+1=0.5x+5\implies 0.5x=4\implies x=\cfrac{4}{0.5}\implies x=8$

4 0

2 years ago

A. 792 432,795<br> What is 432,795 divided by 792

Fittoniya [83]

It is 546.4583333333333, which would simplify to 546.46 if to the hundredths place or 546.5 to the tens place

8 0

3 years ago

Read 2 more answers

The measure of an angle is 8 degrees less than three times te measure another angle. If the two angles are supplementary, what i

tatyana61 [14]

Let's solve this problem step-by-step.

First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:

Equation No. 1 -
x + y = 180°

After reading the problem, we can convert it into an equation as displayed as the following:

Equation No. 2 -
3x - 8 + x = 180°

Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:

Equation No. 1 -
x + y = 180°
y = 180 - x

Then, let's make (x) the subject in the second equation & solve as displayed below:

Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°

After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:

y = 180 - x
y = 180 - ( 47 )
y = 133°

We are now able to establish that the value of the two angles are as follows:

x = 47°
y = 133°

In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.

133 is greater than 47 as displayed below:

133 > 47

Therefore, the measure of the larger angle is 133°.

4 0

3 years ago

3 2/9 x 3/5 what is this answer

vitfil [10]

Make 3 2/9 improper fraction
3 2/9 = 29/9
29/9 * 3/5 = 87/45 = 29/15
The answer is 29/15

5 0

2 years ago

g A zoologist spots what might be a rare subspecies of beetle, due to the pattern on its back. In the rare subspecies, 98% have

Mumz [18]

Answer:

Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies

Step-by-step explanation:

Probability of having a pattern in rare subspecies $= 0.98\\$

Percentage of rare subspecies = 1 % = 0.01

Probability of a beetle with pattern belonging to rare subspecies is

$=0.01 * 0.98 \\= 0.098$

4 0

2 years ago