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sukhopar [10]
3 years ago
14

NO LINKS..... There are 39 people on a city bus. The ratio of adults to children is 10:3. At the next stop, 3 adults get off the

bus. What is the new ratio of adults to children on the bus? A. 3:1 B. 9:2 C. 7:3 D. 12:1
Mathematics
1 answer:
Zarrin [17]3 years ago
8 0
Since the ratio is 10:3 we can find the total number of children and adults by finding how many times 13 (10+3) goes into 39. 39 / 13 = 3 so we can take the original 10:3 ratio and just scale it up to fit the whole group 10:3 * 3 -> 30:9:

From here it gets a little easier we know three adults of the 30 get off at the next stop bringing us to 27. So now our ratio is 27:9 we can simplify that down to 3:1 to get our final answer. Hope that helps!
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Plz answer this correctly to get more points
crimeas [40]

Answer: x = 30°

Concept:

Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.

An <u>isosceles triangle</u> is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.

The <u>vertical angle theorem</u> states that two vertical angles formed when two lines intersect each other are always equal to each other.

Solve:

<u>Find the other base angle of the isosceles triangle.</u>

Since there are two equal sides, we know that this is an isosceles triangle.

Since the definition said that the base angles are equal, the other base angle would also be x.

<u>Find the value of x</u>

According to the vertical angle theorem, two vertical angles formed by intersection are equal.

Just as angle x and 30°, are vertical angles formed by intersection, therefore, \boxed{x=30}

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
If a rectangle's length is 7 more than 4 times the width and the perimeter is 54 what are the dimensions of the rectangle?
Rus_ich [418]
Let w = width of the rectangle 
<span>4w+7 = length of the rectangle </span>

<span>perimeter = 2 lengths + 2 widths </span>

<span>2w + 2(4w+7) = 54 </span>
<span>2w + 8w + 14 = 54 </span>
<span>10w = 40 </span>
<span>w = 4 </span>
<span>4w+7 = 23 </span>

<span>dimensions of rectangle: </span>
<span>width = 4 </span>
<span>length = 23 hope this helps</span>
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Read 2 more answers
24 students and Jamal's class are wearing tennis shoes there are 30 students in this class your mom says that 70% of this class
mel-nik [20]
Im not sure if i am understanding the question correctly... 

If you are asking if Jama's mom is correct, then no. she is wrong. this is because 

if you take the proportion,  (is/of)=(%/100) you get (x/30)=(70/100). You then solve for x which in this case would be 21 students are wearing tennis shoes.

Hope this helps. 
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45 mi/h = how many ft/s
Inga [223]
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