60 tickets to a concert was sold. Adult tickets cost $5 while children’s tickets cost $3.50. A total of $250 was collected. How many adult and children tickets were sold?

Answer:

are this the answers?  

Step-by-step explanation:

The value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.

The property of straight angle says that, the angle of a straight line is equal to the 180 degrees.

It can also be define as the sum of all the angle made on the straight line is equal to the 180 degrees.

For the first problem, the line GE, which is the diameter of the circle has two angles over it (x-3) degree and (12x-25) degrees.

For the diameter GE the sum of these two angle will be equal to 180 degrees. Thus,

[tex](x-3)+(12x-25)=180\\x-3+12x-25=180\\13x-28=180\\13x=180+28\\x=\dfrac{208}{13}\\x=16^o[/tex]

The value of mDE will be equal to (12x-25) as it is verticle angle of mGF. Thus,

[tex]arcDE=(12x-25)\\arcDE=(12(16)-25)\\arcDE=167^o[/tex]

Similarly the value of mEF

[tex]arcEF=(x-3)\\arcEF=(16-3)\\arcEF=13^o[/tex]

Let the radius of the circle is R. Then the measure of arc DFG is equal to the sum of areDEF and arc GF. Thus,

[tex]arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R \angle GHF}{360}\\arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R (167^o)}{360}\\arcDFG=6.056R[/tex]

For the second problem, the angle MN and QO are equal due to the vertical angle property. Therefore,

[tex](10x-45)=(6x-1)\\10x-6x=-1+45\\4x=44\\x=11[/tex]

The value of mMN is,

[tex]MN=(10x-45)\\MN=(10(11)-45)\\MN=65^o[/tex]

The value of NP using the property of straight line for line segment MP can be given as,

[tex]NP=180-MN\\NP=180-65\\NP=115^o[/tex]

Thus, the value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.

Learn more about the a straight angle here;

https://brainly.com/question/594583

Answer:

30 inch²

Step-by-step explanation:

a + b/2 x h

8 + 10/2 X 5 = 30

it's is A= pi x r x 2^

diameter is 17 divide by two is the radius

3.14 x 8.5 x 8.5 is 226.865

Answer:

268.083

Step-by-step explanation:

volume of a sphere = 4/3 times pi times r^3. 4/3(pi)(4^3) = 268.083

Answer:If you are following a area of a triangle is bxhx1/2 or bxh/2

1,800

Step-by-step explanation:100x36=3,600/2=1,800

Answer:

y = -1/6x + 2

Step-by-step explanation:

Put it in point-slope form:

y - 3 = -1/6(x + 6)

y -3 = -1/6x - 1

y = -1/6x + 2

Answer:

$21.04

Step-by-step explanation:

Steps to take to derive the answer

Price after increase increase (100% + increase in price) x purchase price of the jeans

(100% + 65%) x 15

165% x 15

1.65 x $15 = $24.75

Price after the decrease in price = (100% - percentage decrease in price) x price after the 65% increase in price

(100% - 15%) x $24.75

85% x $24.75

0.85 x $24.75 = $21.04

Answer:

X on the graph represents horizontal distance, the x intercept represents when he ends his dive and lands in the water. The x intercept = 8 meaning he is 8 feet away from the diving board when he lands in the water. The y-intercept of y = 13 means the starting point of his dive.

Good luck! :)

Credits: Xin for part A

Answer:

the answer is x=45⁰ y=45⁰

may I help you

Answer:

your answer will be 11

Step-by-step explanation:

......

Answer:

11 Ans ....

Step-by-step explanation:

Given:

=√120-(1)

Solution:

=√120 -(1)

= √121

=11 Answer......

Answer:

Use sine:

Answer:

6 m

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x = \sqrt{ {10}^{2} - {8}^{2} } \\ \\ x = \sqrt{100 - 64} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: m[/tex]

Step-by-step explanation:

10² = 8² + x²

x² = 10² - 8²

x² = 36

x = √36

x = 6

Answer:

23.26

Steps:

AC=√(10²+21²)

AC=√(100+441)

AC=√541

AC≈23.26

Answer:

its a

Step-by-step explanation:

Answer:

m = - 2, c = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 2x = 3 ( subtract 2x from both sides )

y = - 2x + 3 ← in slope- intercept form

with m = - 2 and c = 3

Answer:

Yes!

Step-by-step explanation:

The y = -17

The x = 18

y = x-35

-17 does equal 18 - 35

Hope that helps!

Step-by-step explanation: no it dosent i dont think

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

h(1.5) = -33.75+77.5

h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet

Answer:

D

Step-by-step explanation:

no explination

Answer:

1st one is correct ....................

Answer:

x = 8, y = 12

Step-by-step explanation:

Since the triangles are congruent, we know that the parallel sides are equal to each other.

So,

4x - 7 = 3x + 1

4x - 3x = 1 + 7

x = 8

x + y = 20

8 + y =20

y = 20 - 8

y = 12

Answer:

65536

Step-by-step explanation:

2 elevado a 4 é 16 e 2 elevado a 7 é 128 e 2 elevado a 5 é 32, multiplique-os e você obterá 65536

Answer:

Sara is 9 years old while Yusuf's is 11 years old

Step-by-step explanation:

The given parameters are;

The ratio Sara and Yusuf share the money they receive = The ratio of their ages

The amount Sara and Yusuf received from their grandmother this year = R1,500

The amount of money Sara receives = R675

Therefore, the amount of money Yusuf receives = R1,500 - R675 = R825

Let 'x', and 'y' represent the ages of Sara and Yusuf

Therefore, the ratio of their ages, x/y = R675/R825) = 9/11

x·11 = y·9

x, and y < 18

When x = 9, y = 11, we  get;

9·11 = 11·9

Therefore a possible solution is Sara's age = x = 9 and a possible solution for Yusuf's age, y = 9

Answer: I think C

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

[tex]65 = b \times h[/tex]

[tex]h = \frac{65}{b} [/tex]

Answer:

A

Step-by-step explanation:

The probability of selecting a girl is 52%

The given parameters are:

Boy = 12

Girl =13

The probability of selecting a girl is:

P(Girl) = Girl/Total

This gives

P(Girl) = 13/(12 + 13)

Evaluate

P(Girl) = 52%

Hence, the probability it will be a girl is 52%

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

Cut them in smaller shapes then find area

Step-by-step explanation:

The statement which describes the given line the best is required.

The correct statement is an increasing line that passes through [tex](0,4)[/tex]

The given equation is [tex]2y=4x+8[/tex]

Two points of the line are

[tex]x=0[/tex]

[tex]2y=0+8\\\Rightarrow y=4[/tex]

[tex](0,4)[/tex]

[tex]y=0[/tex]

[tex]0=4x+8\\\Rightarrow x=-2[/tex]

[tex](-2,0)[/tex]

The line passes through points [tex](0,4),(-2,0)[/tex]

The slope intercept form of the line is

[tex]y=\dfrac{4x+8}{2}\\\Rightarrow y=2x+4[/tex]

The slope is [tex]2[/tex]

Since, the slope is positive the line is increasing.

Learn more about equation of lines:

https://brainly.com/question/13763238

Answer:

B

Step-by-step explanation:

Answer:

6/10 Simplified: 3/5 of a bag

Step-by-step explanation:

One bag= 10/10

She washed 4/10

So, 10/10-4/10=6/10

6/10=3/5

3/5 of a bag

Hope this helped! :)

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