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muminat
2 years ago
8

One weekend, 600 tickets were sold to a carnival for a total of $2400. If an adult's ticket costs $6 and a child's ticket costs

$4, how many adults and how many children went to the carnival ?
Mathematics
1 answer:
erastovalidia [21]2 years ago
8 0

Answer:

adults : 0  children: 600

Step-by-step explanation:

x + y = 600

6x+4y = 2400

4×(x + y = 600) = 4x+4y = 2400

(6x+4y = 2400) - (4x+4y = 2400) = x=0

so y=600

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If the angles are represented in degrees, find both angles: \cos(3x+13)=\sin(2x+42) cos(3x+13)=sin(2x+42)
Sphinxa [80]

Answer:

cos34°

sin56°

Step-by-step explanation:

Sin(2x+42)= sin90-(3x+13)

Sin(2x+42) = sin(90-13-3x)

Sin(2x+42) = sin(77-3x)

2x + 42 = 77-3x

5x. = 35

X = 7

If x = 7

cos(3x+13) = cos((3*7)+13)

cos(3x+13) = cos(21+13)

cos(3x+13)= cos34

And

sin(2x+42) = sin((2*7)+42)

sin(2x+42)= sin (14+42)

sin(2x+42) = sin56

4 0
2 years ago
Can someone please help me with this question I don’t understand it
jonny [76]

Brand A: 32 Diapers, $8.99: about 28 cents per diaper

Brand B: 50 Diapers, $12.49: about 24 cents per diaper

You divide the amount of diapers by the money.

For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.

Brand B is the better deal since you save about 4 cents more.

5 0
2 years ago
Solve the<br>Pi<br>Simultaneous equation<br>using elimination<br>3x+2y=2<br>2x+2y =-7​
torisob [31]

Answer:

x= 9

y=-12.5

Step-by-step explanation:

3x+2y = 2×2

2x+2y =-7×3

6x+4y =4

- 6×+6y =-21

-2y =25

y=-12,5

2x+2(-12,5)= -7

2x+-25= -7

2x= -7+25

2x/2=18/2

x= 9

5 0
2 years ago
Two trains move between two towns. It takes the first train 2 hr 48 min and it takes the second 4 hr 40 min. The rate of the fir
Umnica [9.8K]

Answer:

182 miles.

Step-by-step explanation:

Given:

Two trains move between two towns.

Time taken by first train = 2 hr 48 minutes =

Change minute into hour:

60 minute = 1 hour

1 minute = \frac{1}{60}

48 minutes = \frac{1}{60}\times48=\frac{48}{60} =0.8\ hour

Time taken by first train in hour = 2+0.8=2.8\ hours

Time taken by second train =  4 hr 40 minutes

Similarly, 40 minutes = \frac{40}{60} =0.67\ hour

Time taken by second train in hour = 4+0.67=4.67\ hours

The rate of the first train is 26 mph more than that of the second train.

Question asked:

What is the distance between these towns ?

Solution:

Let speed of second train = x\ miles\ per\  hour

<u>As the speed of the first train is 26 mph more than that of the second train. </u>

Speed of first train = 26+x\ miles\ per\ hour

As two trains move between two towns means distance traveled by both train is same.

By using : Distance=speed\times time

Distance traveled by first train = Distance traveled by second train

speed\times time =

(26+x)2.8=x\times4.67

26\times2.8+x\times2.8=4.67x\\72.8+2.8x=4.67x\\

Subtracting both sides by 2.8x

72.8=1.87x

Dividing both sides by 1.87

x=38.93

Speed of second train = 38.93 miles per hour

Distance=speed\times time

              = 38.93 \times 4.67

              = 181.80 miles.

Thus, the distance between these towns is 182 miles (nearest whole number).

             

3 0
3 years ago
How much is (+2) + (-12)​
sergey [27]

Answer:

Subtract

2

from

−

12

.

−

14

Step-by-step explanation:

6 0
2 years ago
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