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netineya [11]
4 years ago
9

In a cafeteria, there are the same number of 3-legged stools as there are of 4-legged chairs. If stools have 120 fewer legs than

chairs, how many people can sit in this cafeteria?
Mathematics
1 answer:
olga_2 [115]4 years ago
6 0
Imagine what x is quantity of stools. So
3x+120=4x
x=120
120 stools in cafeteria
120 chairs in cafeteria
120+120=240
There 240 people can sit in this cafeteria
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Two f-18s are catapulted off an aircraft carrier and fly on courses that diverge at a 60° angle. if each flies at a constant rat
kkurt [141]
Answer: The will be 1200 miles apart after 2.4 hours.

First draw a picture of an angle of 60 degrees. The vertex is the starting point of the plane and they are flying away from it.

If you drew points for the new positions of the plane and connected them, you would have triangle. The planes are flying at the same speed, so they would be isosceles triangles. And since the vertex angle is 60 degrees, the other angles have to be 60 as well. This makes it an equilateral triangles, meaning all the sides are the same.

So the distance between the planes is equal to the distance that they have flow.

Simply divide 1200 by 500 to get 2.4 hours.
5 0
3 years ago
Kayla's father throws Kayla a graduation party that costs $775. He pays the DJ $250, $75 for the cake, and $5 per party guest fo
Charra [1.4K]

Answer:

90 people

Step-by-step explanation:

Total: $775

DJ: $250

Cake: $75

Unknown party guests each getting $5

Let the unknown be x

We can form an equation; <em>DJ + Cake + x number of party guests = $775</em>

<em>250 + 75 + 5x = 775</em>

<em>325 + 5x = 775</em>

Subtract 325 from <u>both sides of the equals sign</u>.

<em>5x = 450</em>

Make <em>x</em> the subject and divide both sides by 5

<em>x = 90</em>

There were 90 party guests.

7 0
4 years ago
Help please !!!!!!!!!
geniusboy [140]

I believe (7.5, 12.5) is the answer. The answer is where both lines intersect unless there is more to the question.

4 0
3 years ago
Select the correct answer.A town park has two paths leading to the playground. One path is 2 miles from the road and the other p
damaskus [11]

Given:

There are given that the two paths and one path are 2 miles from the road.

Explanation:

Suppose the distance from the playground to the road is x.

To find the value x, we need to use the cos function;

So,

From the cos function in the given right angle triangle:

cos50^{\circ}=\frac{x}{2}

Then,

\begin{gathered} cos50^{\operatorname{\circ}}=\frac{x}{2} \\ 0.64=\frac{x}{2} \end{gathered}

Then,

\begin{gathered} 0.64=\frac{x}{2} \\ x=0.64\times2 \\ x=1.28 \\ x=1.3mi \end{gathered}

Final answer:

Hence, the correct option C.

4 0
1 year ago
X + 8 + 2x &lt;= 2x + 13
Sati [7]

Answer:

<h2>x<=5</h2>

Step-by-step explanation:

x+8+2x <= 2x +13

x+8<= 13

<h2>x<=5</h2>
7 0
3 years ago
Read 2 more answers
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