Suppose a group of 24 people bought tickets to the American Kennel Club Museum of the Dog. Tickets cost $15 each for adults, $10 each for students, and $5 each for children under age 12. There were twice as many adults as children under age 12. If the total cost of the tickets was $260, how many tickets were purchased for children under age 12? *

Answer:

3/14

Step-by-step explanation:

There’s 14 marbles total and only 3 are orange

Answer:

F is greater than 25

F is positive

Step-by-step explanation:

You know that F must be positive, since a number is subtracted from it and then another number is multiplied by that difference. Since a positive number multiplied by a negative number is negative, F must be positive.

You also know that F is greater than 25, because a number is subtracted from it and it is multiplied by a fraction between 0 and 1, meaning that that difference is further reduced.

Hope this helps!

Answer:

12

Step-by-step explanation:

Adding a to both sides of the second equation we get b = a+1

Substituting this in we get

10a + 10 - 9a=6

a +10 =6

a=-4

Putting this back in to the second one we get b+4=1

B=-3

-4*-3=12

The value of ab = 36.

We have the following equations -

10b - 9a = 6

b - a = 1

We have to determine the value of ab.

We have -  [tex]a^{2} -b^{2} = \pi[/tex]

(a + b) (a - b) = [tex]\pi[/tex]

a - b =  [tex]$\frac{\pi }{4\pi }[/tex]  = 1/4

According to question, we have -

10b - 9a = 6

b - a = 1

Now -

b - a = 1

a = b

Therefore -

10b - 9a = 6

10b - 9b = 6

b = 6 = a

ab = 6 x 6 = 36

Hence, the value of ab = 36.

To solve more questions on finding unknowns, visit the link below -

https://brainly.com/question/14728313

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Answer:

42000

Step-by-step explanation:

First of all, we need to find 20 percent of 35000.

35000×20 / 100 = 7000

now we increase the bed cost by 20 percent.

35000 + 7000 = 42000

Answer:

5000

Step-by-step explanation:

Answer:

3811.2 cubic cm

Step-by-step explanation:

Formula for sphere volume: 4/3πr^3 and since r=10, then plugging it in will be 1000*4/3π≈4188.79. The cube has side length 10*2=20 and has a volume of 20^3=8000. 8000-4188.79=3811.21≈3811.2

Answer:

No, obtuse simply means that the angle measures are > 90 and less than 360. Just because two angles are obtuse DOES NOT mean they are congruent.

Answer: No

Step-by-step explanation: Obtuse just means the angle is above 90 degrees and below 360, it doesn't mean its congruent.

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.24

For the alternative hypothesis,

p ≠ 0.24

This is a two tailed test

Considering the population proportion, probability of success, p = 0.24

q = probability of failure = 1 - p

q = 1 - 0.24 = 0.76

Considering the sample,

Sample proportion, P = r/n

Where

r = 12

n = 52

P = 12/52 = 0.23

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.23 - 0.24)/√(0.24 × 0.76)/52 = - 0.17

Recall, population proportion, P = 0.24

The difference between sample proportion and population proportion(p - P) is 0.24 - 0.23 = 0.01

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.24 - 0.01 = 0.23

the p for the right tail is 0.24 + 0.01 = 0.25

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.43

We would double this area to include the area in the right tail of z = 0.17 Thus

p = 0.43 × 2 = 0.86

The level of significance is 5%

Since alpha, 0.05 < than the p value, 0.86, then we would fail to reject the null hypothesis. Therefore, at 5% significance level, this information does not imply that the color preference of all college students is different (either way) from that of the general population.

Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential decay function:  

A = P (1 - r) t  

Where:  

p = original price

r = decrease rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 =-r

0.05 =r

Converting to percentage form:

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.  

Answer:

d. 63

Step-by-step explanation:

sum of 3 interior angles= 180°

78°+39°+a=180°

a= 180°- 117°

a= 63°

Answer:

D. 63°

Step-by-step explanation:

The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.

78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)

Answer:

64

Step-by-step explanation:

4^2-4*3*-4

=16-(-48)

=64

Answer:

A. 15

Step-by-step explanation:

HI and IJ are both segments in the line HJ so HI and IJ combined equal the total length of HJ. This means we can write an equation using HI and IJ and setting them equal to HJ.

6x + 8 + 2x - 4 = 124

next step is to combine like terms:

8x + 4 = 124

then, subtract 4 from both sides.

8x + 4 = 124

     -4       -4

8x = 120

finally, divide both sides by 8.

8x/8 = 120/8

x = 15

since it is equal to x, 15 is your solution!

Answer:

x^(4+2/3)=x^a

a=4+2/3=(12/3)+(2/3)=14/3

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared

Answer:

2%

Step-by-step explanation:

Solution

0.02*100%

=2%

hope it helps...

Good luck on your assignment

Answer:

$4,200

Step-by-step explanation:

700 x 6 = 4,200

Answer:

77.4

Step-by-step explanation:

The first term, a, of the series is 3.

It is a geometric progression, so we can calculate the common ratio, r:

3.75 / 3 = 1.25

The sum of n terms of a geometric progression is given as:

[tex]S = \frac{a(1 - r^n)}{(1 - r)}[/tex]

where n =  number of terms considered

The sum of the first 9 terms will therefore be:

[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]

Answer:

x = 2 or x = -2

Step-by-step explanation:

5x² - 15 = 5​

⇌

5x² = 15 + 5

⇌

5x² = 20

⇌

x² = 20/5 = 4

⇌

x² = 2²

⇌

x² - 2² = 0

⇌

(x - 2)(x + 2) = 0

⇌   we use the zero product property

x - 2 = 0 or x + 2 = 0

⇌

x = 2 or x = -2

Answer:

none of the two graphs in the pic.

it should be one in the II quadrant

Step-by-step explanation:

the plus four means to move 4 to the left

the plus 2 means to move up 2

That would make the vertex in the II quadrant.

Answer:

its A

Step-by-step explanation:

Answer:

8/12 = 14/x

Cross multiplication so

8x=14×12

8x=168

X=168/8

X=21

Answer:

1 yard = 3 ft

75 yards = 75 * 3

75*3 = 225

He ran 225 ft

If you need inches = 225*12

inches = 2700 inches

Answer:

225 feet

Step-by-step explanation:

3 feet equals 1 yard

? Feet equals 75 yards

75 times 3 equals 225 feet

Answer:

X= 24

Step-by-step explanation:

Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3

Answer:

28 or 24 im not sure which

Answer:

[tex] \boxed{3x\degree = 30\degree} [/tex]

Explanation:

Vertically opposite angles are equal.

Answer:

the answer may be 127.

Step-by-step explanation:when you add 90° + 37° you will get the answer 127

I am not sure.

Answer:

(x - 7)(x - 2)

----------------- = x - 2 for x ≠ 7    

     x - 7

Step-by-step explanation:

Please use parentheses to show clearly that you are dividing by (x - 7):

 x^2 - 9x - 14

-------------------       or    (x^2 - 9x - 14) ÷ (x - 7)

       x - 7

x^2 - 9x + 14 factors into (x - 7)(x + 2).  After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:

(x - 7)(x - 2)

----------------- = x - 2 for x ≠ 7    

     x - 7

Step-by-step explanation:

pythagorean theorem states

c²=a²+b² where c is the longest line a is the base while b is the height thus

example

1)c²=a²+b²

12²=a²+8²

144=a²+64.

144-64=a²

80=a² a=√80. =8.9

2)c²=a²+b²

15²=4²+b²

225=16+b²

225-16=b²

209=b² b=√209. =14.45

3)c²=a²+b²

c²=5²+9²

c²=25+81

c²=106. c=√106. =10.295

I hope you have understood I will do the other ones simply

4)26²=18²+a²

676-324=a²

√352=a. a=18.761

5)10²-6²=b²

100-36=b² b²=64. b=8

6)c²=12²+9²

=144+81.

c² =225. c=15

1...

Formula=  A=C^2-B^2

A=12^2-8^2

A=144-64

144-64=80

√80 = 8.944

Rounded = 8.9

2...

Formula=  A=C^2-B^2

A=15^2-4^2

A= 225-16

225-16=209

√209=  14.456

Rounded= 14.5

3...

Formula= A^2+B^2=C^2

9^2+5^2=C^2

81+25=106

√106=  10.295

Rounded= 10.3

4...

Formula=  A^2=C^2-B^2

A^2= 26^2-18^2

A^2=676-324

676-324=352

√352=18.761

Rounded= 18.8

5...

A^2=C^2-B^2

A^2=10^2-9^2

100-91=9

√9=3

6...

Formula= A^2+B^2=C^2

9^2+12^2=C^2

81+144=225

√225=15

Code= 8.9, 14.5, 10.3, 18.8, 3, 15.

Answer: 40

Step-by-step explanation:

Answer:

40 basketballs in 5 hours

Step-by-step explanation:

If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8

Multiply how much she can make every hour by the amount of hours.

8 x 5 = 40

Answer:

diameter ≈12.7

Step-by-step explanation:

d= C/π so plug in what we know

39.88 ÷ 3.14 ≈ 12.7

Answer:

5 < x < 23

Step-by-step explanation:

let the third side be x , then

difference of 2 sides < x < sum of 2 sides

14 - 9 < x < 9 + 14 , that is

5 < x < 23

Answer:

Step 2.

-11/12 > -1.5

1.6 > 5/4

1 < 5/4

Step-by-step explanation:

Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.

The margin of error is 1/√n, where n is the number of people

Margin of error = 1/√475 = 0.0458

Multiply by 100 to get percent:

0.0458 x 100 = 4.58% round to 4.6%

The answer is c.