Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65 . For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was 1875 . What was the price of each kind of ticket?

Answer:

[tex]leg=6\sqrt{3} \\\\hypotenuse=12[/tex]

Step-by-step explanation:

The equations for the 30°-60°-90° are as follows:

[tex]l=\sqrt{3}*s[/tex]

[tex]h=2*s[/tex]

l is the longer leg, s is the smaller leg, and h is the hypotenuse. Insert the known values and solve for the longer leg and the hypotenuse:

[tex]l=6\sqrt{3} \\h=12[/tex]

:Done

Answer:

x = 58

Step-by-step explanation:

The angle at the centre is twice the angle at the circumference subtended by the same arc, thus

x + 62 = 2(x + 2)

x + 62 = 2x + 4 ( subtract x from both sides )

62 = x + 4 ( subtract 4 from both sides )

58 = x

Answer:

$26.25

Step-by-step explanation:

We know that I = Prt where I = Interest, P = Principal, r = rate (as a decimal) and t = time (in years). Therefore:

I = 750 * 0.035 * 1 = $26.25

Answer:

396 yd^2

Step-by-step explanation:

8X12=96

(96/2)*2=9

10*10=100

100*3=300

300+96=396

Answer:

416 yd^2

Step-by-step explanation:

The formula for the surface area of a triangular prism is

[tex]A=2\sqrt{\frac{a+b+c}{2}(\frac{a+b+c}{2}-a)(\frac{a+b+c}{2}-b)(\frac{a+b+c}{2}-c)}+(a+b+c)h[/tex]

where h is the height (10), and a, b and c are the base sides (10, 10, 12).

Answer:

you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285

Step-by-step explanation:

Answer:

0$

Step-by-step explanation:

simple

Answer:

The correct statment is B.

Step-by-step explanation:

A. is not correct:  y = 2.4(30) - 1.8 does not equal 70...

B. Is correct because the slope is 2.4 From the equation

C. is not correct because the points have no 2.4 (maybe 2.2)? difference.

D. is not correct. the correlation isn't positive.

Step-by-step explanation:

when you are cooking you need to measure fractions of ingredients

Step-by-step explanation:

for no .5.no.6...you must understand that if u want to get speed,distance must multiple with time

Answer:

the sign is positive

Step-by-step explanation:

to negatives make a positive.

and that last point you added is wrong two positives equals a positive.

different signs= negative

same signs=positive

A vertical line has all points with the same x coordinate, but infinitely many different y coordinates. It inherently fails the vertical line test because we can pass a single straight line through more than one point on the function curve.

Put another way, the input is a single value but there's infinitely many outputs. A function must have each input produce exactly one output. This is of course only when the input is in the domain.

Answer:

c

Step-by-step explanation:

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV=PV(1+r/n)^nt

Where

FV=future value

PV=present value

r=interest rate

n=number of periods

t=time (years)

PV=42,000

r=4%=0.04

n=1

t=n

FV(n)=p(1+r/n)^nt

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

FV(n)=42,000(1.04)^n

Answer:

42000(1-1.04^n/-0,04)

Step-by-step explanation:

Answer:

option d

sorry it took so long.

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

Answer:

3.25

Step-by-step explanation:

μX = 2(0.3) + 3(0.2) + 4(0.4) + 5(0.1) = 3.3

The mean of the distribution represented by the histogram is 3.25

The mean is the product of the value of X and its corresponding probability (P(x)).

The mean can be expressed thus :

From the histogram :

Mean = (1 × 0.05) + (2 × 0.2) + (3 × 0.35) + (4 × 0.25) + (5 × 0.15)

Mean = 0.05 + 0.40 + 1.05 + 1.00 + 0.75 = 3.25

Therefore, the mean value of the distribution depicted by the histogram ls 3.25

Learn more : https://brainly.com/question/14421716

Answer:

x-3 is cancelled and just one remains in numerator.

Answer:

Step-by-step explanation:

Find the attachment in the diagram below,

In order to get the right match, we will use the conversion

180° = πrad

- For angle 315°;

If 180° = πrad

315° = a

Cross multiplying

180a = 315π rad

a = 315π rad/180

a = 63π/36 rad

a = 7π/4 rad

Hence 315° = 7π/4 rad

- For angle 80°;

If 180° = πrad

80° = b

Cross multiplying

180b = 80π rad

b = 80π rad/180

b = 8π/18 rad

b = 4π/9 rad

Hence, 80° = 4π/9 rad

- For angle 225°;

If 180° = πrad

225° = c  

Cross multiplying

180c = 225π rad

c = 225π rad/180

c = 15π/12 rad

c = 5π/4 rad

Hence, 225° = 5π/4 rad

- For angle 324°;

If 180° = πrad

324° = d

Cross multiplying

180d = 8324π rad

d = 324π rad/180

d = 27π/15 rad

d = 9π/5 rad

Hence, 324° = 9π/5 rad

Answer:

Step-by-step explanation:

1 hour=3600 sec

1 min=60 sec

Answer: unbiased; simple random sampling

Step-by-step explanation:

From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.

This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.

Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.

Answer:

4a

Step-by-step explanation:

4a

the top and right are a-b, but you have to add the b’s back in, so really all sides are a

a+a+a+a=4a

Answer: 4a

Step-by-step explanation: perimeter is the length of all sides added together. Every length is given combine like variables and you will get 4a+2b-2b. 2b-2b is 0 which leaves you with 4a

Answer:

  See below

Step-by-step explanation:

Each point on the triangle moves to half its previous distance from P.

Answer:

 5i is an imaginary number

In these questions it contains two parts

real and imaginary parts . thus answer to these questions is 5i

Explanation

Complex Number is the number which contains both real and imaginary numbers i is the specified elements.  5i is an imaginary parts number and 4 is real part number.

Thus we conclude that above statement for the question is correct.

To know more about the complex number

https://brainly.com/question/20566728

Answer:

             B.   m∠A + m∠C = m∠B + m∠D

Step-by-step explanation:

To inscribe a quadrilateral in a circle, the sums of its opposite angles must be equal (each sum of its opposite angles equals 180 °)

Answer:

106

Step-by-step explanation:

12 divided by three subtracted by 11 Multiplied by 10

11 times 10 is 110

12 divided by 3 is 4

110-4= 106

Your answer to 11 x 10 - 12/3=106

Answer:

1,057.

524,000.

300,000,000

Answer:

14

Step-by-step explanation:

Answer: n=3+7+6

N=10+6

N=16

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3/5 * 15

Rewriting as

3 * 15/5

3 * 3

9

The word "of" tells us we need to multiply.

So 3/5 of 15 means the same thing as (3/5) · (15).

Think of the 15 as 15/1 so when multiplying,

we can cross-cancel the 5 and 15 to 1 and 3.

So we have (3/1) · (3/1) which is 9/1 or just 9.

Answer:

height = 4cm

Step-by-step explanation:

volume = п r² h

п = 3.14   (aprox.)

r = radius

h = height

volume = 616cm³

then:

616 = 3.14 * 7² * h

616 = 3.14*49*h

616 = 153,86 * h

h = 616 / 153.86

h = 4

height = 4cm

Answer:

Your answer is

Step-by-step explanation:

Hope this helps....

Have a nice day!!!!

Answer:

9

Step-by-step explanation:

x = c - b/a

x = 10 - 2/2

x = 10 - 1

x = 9

Answer:

x = c - b (divided by) a

Step-by-step explanation:

x = 10 - 2over2

x = 10 - 1

x = 9

try 18/2 since that part is a fraction.

Answer:

The half-way coordinate between the end points.

Step-by-step explanation:

The half-way coordinate between the end points.