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Lera25 [3.4K]
3 years ago
12

Cameron & Brett are trying to sell upper & lower level tickets to two Diamondbacks game to raise money for their club ba

seball team. They sold 5 lower level & 9 upper level tickets to the first game for a total of $303. They sold 8 lower level & 10 upper level tickets to the second game for a total of $410. How much money did the people pay for lower level & upper level tickets to go to a Diamondbacks game?
Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer:

30 Lower level tickets

17 upper level tickets

Step-by-step explanation:

Let:

Lower level tickets = l

Upper level tickets = u

5l + 9u = 303 - - - (1)

8l + 10u = 410 - - - - - (2)

Multiply (1) by 8 and (2) by 5

40l + 72u = 2424 - - - (3)

40l + 50u = 2050 - - - (4)

Subtract (3) from (4)

22u = 374

u = 374 / 22

u = 17

Put u = 17 in (1)

40l + 72(17) = 2424

40l + 1224 = 2424

40l = 2424 - 1224

40l = 1200

l = 1200 / 40

l = 30

30 Lower level tickets

17 upper level tickets

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Suppose you are facing north, each time you turn, you are going to turn 90 degrees. If you turn 2 times to the right, 1 time to
zysi [14]

Answer:

East

Step-by-step explanation:

Starting position = North

Condition = each time you turn, you are going to turn 90 degrees

Using the image attached as a guide;

If you turn 2 times to the right

- Turning the first time to the right changes the direction to East

- Turning the second time to the right changes the direction to South

1 time to the left

- Turning once to the left changes the direction to East

3 times to the right

- Turning the first time to the right changes the direction to South

- Turning the second time to the right changes the direction to West

- Turning the second time to the right changes the direction to North

2 times to the right

- Turning the first time to the right changes the direction to East

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4 0
3 years ago
a)out of 300 students In a class 60% of the students took physics and 35 students took chemistry and 20% of the students did not
Kipish [7]

Answer:

25 students take both subjects.

Step-by-step explanation:

Solve for 60% of 300 students:

60/100 = x/300

Cross multiply:

60 × 300 = 100 × x

18000 = 100x

Divide both sides by 100:

180 = x

Solve for 20% of 300 students:

20/100 = x/300

20 × 300 = 100 × x

6000 = 100x

60 = x

Solve for the percentage of students in chemistry:

x/100 = 35/300

x × 300 = 100 × 35

300x = 3500

x = 11.66666...7

x = about 11.7%

Find the difference in percentages:

100 - 60 - 20 - 11.7

8.3

8.3% take both subjects

Solve for 8.3% of students:

8.3/100 = x/300

8.3 × 300 = 100 × x

2490 = 100x

24.9

About 25 students

Check your work by adding all the students together (to get to 300):

25 + 60 + 180 + 35

300 students total

This is correct!

7 0
3 years ago
Integrate x+1/sqrt(x). I know that the answer is 2/3 • sqrt(x) • (x+3) + C, but I don't know how it is simplified from 2/3 • x^3
Andreas93 [3]

\displaystyle\int\frac{x+1}{\sqrt x}\,\mathrm dx=\int\frac x{x^{1/2}}+\frac1{x^{1/2}}\,\mathrm dx

=\displaystyle\int x^{1/2}+x^{-1/2}\,\mathrm dx

By the power rule,

=\dfrac{x^{3/2}}{\frac32}+\dfrac{x^{1/2}}{\frac12}+C

(this seems to be the step you're not getting?)

=\dfrac23x^{3/2}+2x^{1/2}+C

The next step is to pull out a common factor of x^{1/2} from the antiderivative:

x^{3/2}=x^{1/2+1}=x^{1/2}\cdot x^1

so that the final result is

\dfrac23x^{3/2}+2x^{1/2}+C=\dfrac23x^{1/2}(x+3)+C

3 0
3 years ago
Jaxon rode his bike 5 3/4 miles in 1/2 hour. What was his average rate of speed in miles per hour? 2/23 hours per mile 11 1/2 ho
Viefleur [7K]

Answer:

11.5 mph

Step-by-step explanation:

5 3/4 / 1/2 = m/1

See attached for explanation

6 0
3 years ago
A recipe that makes 10 raspberry muffins calls for 1 1/4 teaspoons of baking powder.how much baking powder is needed to make 3 d
lawyer [7]

Answer:

idk I need the points but good luck

4 0
3 years ago
Read 2 more answers
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