A BMX show has
416
people in attendance. If
312
attendees are under the age of
35
,
what is the ratio of attendees under the age of
35
to attendees
35
and older?

Answer:

angle CBE=15 degrees

Step-by-step explanation:

angle ECD is 60 degrees and EC=CD because equilateral triangle

angle DCB is 90 degrees and CB=CD because square

angle ECD +angle DCB= angle ECB

60+90=150=angle ECB

since triangle ECB has legs EC and CB  equal in length, then it is an isosceles triangle.

so angles CBB and CBE are equal

angle CBE=(180-150)/2

angle CBE=15 degrees

Answer:

15 degrees

Step-by-step explanation:

Since triangle CDE is a equilateral triangle then all the sides and angles are congruent DC=CE=ED, ∠DEC=∠ECD=∠CDE=60 degrees

since line CD is also a side of the square and all sides of a square are congruent therefore DC=CB=BA=AD

therefore side BC is equal to side CE which means CBE is an isosceles triangle then angles ∠BEC and ∠CBE are congruent

Then in order to figure out angle ∠CBE we need to find ∠ECB

and ∠ECB=∠DCE+∠DCB

∠DCE= 60 degrees because it's a equilateral triangle

∠DCB=90 degrees because it's a square

therefore ∠ECB=150 degrees

all angles of a triangle = 180 degrees

∠BEC + ∠CBE + ∠ECB = 180

since ∠BEC is congruent to ∠CBE i can substitute ∠BEC for ∠CBE

2(∠CBE) + 150 =180

2(∠CBE)=30

∠CBE=15

Answer:

The Correct Answer Is H

Step-by-step explanation:

Its Order Corresponds idenically to the graph above.

Answer:

A. She could sample an equal number of students in each type of dance class.

Step-by-step explanation:

The answer is A. because all the other ones are not equal, and some are leaned more towards one side.

Hope this helps! :)

Answer:

a

Step-by-step explanation:

test

Answer:

The total sales of Boutique last week = $1300

Step-by-step explanation:

Given that:

Percent of sales came from leggings = 30%

Worth of leggings sold = $390

Let,

x be the total sales in the week.

30% of x = 390

[tex]\frac{30}{100}x=390[/tex]

0.3x = 390

Dividing both sides by 0.3

[tex]\frac{0.3x}{0.3}=\frac{390}{0.3}\\x=1300[/tex]

Hence,

The total sales of Boutique last week = $1300

Answer:

0.65

I think..........

Answer:the median is 71

Step-by-step explanation:

Answer:

(4p²+q²)(2p+q)(2p-q)

Step-by-step explanation:

16p⁴ -q⁴

(4p²)²-(q²)²

(4p²+q²)(4p²-q²)

(4p²+q²)(2p+q)(2p-q)

Answer:

1.99/1 pound = x/3.25 pound  (3 1/4 =3.25)

Cross multiply

X=(1.99)(3.25)=$6.47

Step-by-step explanation:

Answer: 2/3 or 0.6

Step-by-step explanation:

Answer:

Exact form: -7/5

Decimal form: -1.4

Mixed number form: -1 2/5

Step-by-step explanation:

-----------------------------------------------------------------------------------

Answer:

D

Step-by-step explanation:

The change from x = 0 to x = 1 is -3

The change from x = 1 to x = 2 is -5

The average of -3 and -5 is [tex]\frac{-3-5}{2} = \frac{-8}{2} = -4[/tex]

The answer is D. -4

Answer:

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Answer:

Step-by-step explanation:

8x+2y=16

2y=-8x+16

y=-4x+8

slope is -4

y-intercept is (0,8)

x-intercept is (2,0)

Answer:

slope = -4

y-intercept = (0,8)

x-intercept = (2,0)

Step-by-step explanation:

To find the slope:

8x + 2y = 16. First get the y by itself.

2y = -8x + 16. Then divide by 2

y = -4x + 8. So the slope is -4.

y-intercept:

8x+2y=16

8(0)+2y=16

2y=16

y=8

y-int: (0,8)

x-intercept:

8x+2y=16

8x+2(0)=16

8x=16

x=2

x-int: (2,0)

Answer:

(-5, 6)

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

(0, 3 )

Step-by-step explanation:

Given the 2 equations

x + 3y = 9 → (1)

- 2x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the x- term

2x + 6y = 18 → (3)

Add (2) and (3) term by term to eliminate x, that is

0 + 8y = 24

8y = 24 ( divide both sides by 8 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x + 3(3) = 9

x + 9 = 9 ( subtract 9 from both sides )

x = 0

solution is (0, 3 )

Answer:

(-1, -2) will be the solution.

Step-by-step explanation:

System of equations has been given as,

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

Input-output value table for the given line will be,

x       -2        -1          0          1

y      -5        -2         1           4

y = -x - 3 ----------(2)

Input-output value table for the given line will be,

x        -2         -1           0           1

y       -1          -2          -3         -4  

By plotting the given coordinates we can draw the straight lines.

And the point of intersection (common point) of these lines will be the solution of the given system of equations.

Hence, (-1, -2) will be the solution.

Answer:

-20

Step-by-step explanation:

Let the number be Y

If the sum of a number and seven is doubled, the result is six less than the number, The statement is as expressed below

2(Y+7)= Y-6

Find the value of Y

2Y+14=Y-6

Put the like terms together

2Y-Y=-6-14

Y=-20

The number is therefore -20

Verifying

2(-20+7)=-20-6

2(-13)=-26

-26=-26

Answer:

X=44

Step-by-step explanation:

Step-by-step explanation:

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Answer:

It is 36

Step-by-step explanation:

Purple: [tex]\sf{x=28.8}[/tex]

Blue: [tex]\sf{x=4}[/tex]

Yellow: [tex]\sf{x=-8}[/tex]

Green: [tex]\sf{x=-5.2}[/tex]

______________________________

- Multiply both sides by −7.2:

So your answer is [tex]\bold{x=28.8}[/tex].

- Find the reciprocal and multiply by that on each side:

- Divide the numerator by the denominator:

So your answer is [tex]\bold{x=4}[/tex].

- Multiply both sides by 2:

So your answer is [tex]\bold{x=-8}[/tex].

- Divide both sides by −5:

So your answer is [tex]\bold{x=-5.2}[/tex].

______________________________

Answer:

C.

Step-by-step explanation:

gn... plz mark brainliest

Answer:

Step-by-step explanation:

Given GP:

Finding the 5th term:

Correct option is D

Answer:

The Triangles are congruent by Angle-Side-Angle.

x would equal 4 because the triangles are congruent.

Step-by-step explanation:

Answer:

24/9

Step-by-step explanation:

-20-4=-24

-8-1=-9

Answer: The probability is 0.536

Step-by-step explanation:

We have 3 blue marbles, and 5 red marbles (a total of 3 + 5  = 8 marbles)

First, we take a marble and it is not replaced.

Then we take another marble.

We want to calculate the probability of getting only one blue marble.

Then we have two cases:

1) First we take a blue marble, and after a red marble

2) First we take a red marble, and after a blue marble.

Let's calculate the probability of these two events:

1) The probability of taking a blue marble at random, is equal to the quotient between the number of blue marbles, and the total number of marbles.

this is: p1 = 3/8.

Now we need to take a red marble. Same procedure as before, but now we already taken a marble from the bag, so the total number of marbles is 7 now, and the number of red marbles is 5. The probability here is:

p2 = 5/7

The joint probability (the probability of both events happening) is equal to the product between the individual probabilities, this is:

P = p1*p2 = (3/8)*(5/7) = 0.268

2) Now we first take a red marble, we can calculate the probabilities in the same way than above.

The probability of taking a red marble at first is:

q1 = 5/8

The probability of taking a blue marble in the second draw is:

q2 = 3/7

The joint probability is:

Q = p1*p2 = (5/8)*(3/7) = 0.268

The total probability of getting only one blue marble will be equal to the addition of both the probabilities we found.

Probability = P + Q = 0.268 + 0.268 = 0.536

Answer:

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Answer:

Option B: x = 15 is a solution, but x = 9 is not is the correct answer.

Step-by-step explanation:

Given equation is:

x - 3 = 12

The solutions we have to check are;

x = 9 and x = 15

Putting x = 9 in the given equation;

9 - 3 = 12

6 ≠ 12

Putting x = 15 in the given equation;

15 - 3 = 12

12 = 12

Hence,

Option B: x = 15 is a solution, but x = 9 is not is the correct answer.