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madreJ [45]
3 years ago
8

250 people went to a “couples party” party at 9am. If 70 people left at 11pm how many couples remained at the party?

Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0

Answer:

90 couples or 180 ppl

Step-by-step explanation:

lets take "x" as the couples who remained at the party

we start out with 250:

250

but by the time it is 11pm, 70 people have left the party

since it is a couples party we need to divide by two to account for the couples

\frac{250-70}{2}=x

250-70=180

180/2=90

so 90 couples or 180 ppl

hope this helps

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Find the value of x.
inysia [295]

The value of x from the given circle is 4

<h3>What is intersecting chord theorem?</h3>

The intersecting chords theorem is a statement in geometry that describes a relation of the four line segments created by two intersecting chords within a circle.

It states that the products of the lengths of the line segments on each chord are equal.

According to the theorem;

x * 3 = 2 * (4 + 2)

3x = 2(6)

3x = 12

Divide both sides by 3

3x/3 = 12/3

x =4

Hence the value of x from the given circle is 4

Learn more on intersecting chord theorem here; brainly.com/question/13950364

#SPJ1

5 0
2 years ago
If x varies directly as y, and<br> X = 24 when y= 21, Find x when<br> Y=6
Ne4ueva [31]

Answer:

x = 48/7

Step-by-step explanation:

There's two good ways to do this problem.

Option 1:

Translate "x varies directly as y" into the equation y=kx

Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.

Option 2:

Translate "varies directly" into a proportion, which is two fractions equal to each other:

x/y = x/y

Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.

7 0
1 year ago
Please help me answer it right
kupik [55]

Answer: B

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

7 0
3 years ago
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The bar diagram represents 24 hours in one day and shows a mark at 30%. If you sleep 30% of the day, how many hours do you sleep
Sedbober [7]
30% = 3/10

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= 24hours ÷ 10 × 3
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Hope this helps! :)
4 0
3 years ago
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