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melomori [17]
3 years ago
10

There are 33 times as many boys as girls in a room. If 4 boys and 4 girls leave the room, then there will be 5 times as many boy

s as girls in the room. In total, how many boys and girls were in the room originally
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0

Answer:

here are 3 times as many boys as girls in a room. If 4 boys and four girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally?

8 girls

24 boys

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How could you model 5 students sharing 4 bags of popcorn equally? How much will each student get?
Effectus [21]
Your answer is 0.8 or 80%
Explanation:

Consider the ratio written like a fraction:

<span><span>Count of sandwichescount of people</span>→<span>46</span></span>

But we need the count of sandwiches for 1 person. So we need to change the 6 people into 1 person. To change 6 into 1 divide it by 6

<span>6÷6=1</span>

For ratios, when multiplying or dividing, what we do to the bottomwe do to the top.

So to change <span>46</span> into what we want we apply

<span><span><span>4÷6</span><span>6÷6</span></span>=<span><span>23</span>1</span>← <span>Count of sandwichescount of people</span></span>

So each person ends up with <span>23</span> of a sandwich

<span>Now see where the shortcut comes from <span>46</span>=<span>23</span><span> of a sandwich</span></span>

5 0
3 years ago
2x + 6 = 2x - 2<br> ??????????
svp [43]

2x-6=2x+2

We move all terms to the left:

2x-6-(2x+2)=0

We get rid of parentheses

2x-2x-2-6=0

We add all the numbers together, and all the variables

-8!=0

There is no solution for this equation

6 0
3 years ago
Which statement is true? A. A triangle can be congruent to a square. B. A rectangle can be congruent to a square. C. All circles
Lina20 [59]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Congruent means it is the same shape and size. Therefore, A is incorrect as a triangle and a square aren't the same shape. The same applies to B. C is also incorrect as not all circles are the same size.

In short, the correct answer is option D. None of the above is true.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0
4 years ago
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

<u>Solution:</u>

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

<em><u>The total area of pyramid is given by:</u></em>

A=A_{b}+A_{l}   ---- eqn 1

Where,

A_{b} \text { is the base area and } A_{l} \text { is the lateral area }

<em><u>The area of base is given as:</u></em>

A_{b}=\frac{3 \sqrt{3}}{2} l^{2}

Where "l" is the side of hexagon.

Substituting we get,

\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}

<em><u>The lateral area is given as:</u></em>

A_{l}=3 b h

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}

Plugging in the values we found in eqn 1 we get,

A=24 \sqrt{3}+72

A = 113.569 square units

<em><u>Summarizing the results:</u></em>

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

8 0
3 years ago
I have 100 points<br> i need some help!!
xenn [34]

Answer:

−2(4−5 i hope it helps :)

4 0
2 years ago
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