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SpyIntel [72]
2 years ago
5

A school held several evening activities last month a music concert, a basketball game, a drama play, and literacy night. The mu

sic concert was attended by 250 people.Attendance at a basketball game was 30% of attendance at the concert.How many people came to the basketball game
Mathematics
1 answer:
Doss [256]2 years ago
5 0

Answer: The answer is 75

Step-by-step explanation:

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A bee flies at 15 ft./s directly into a flower bed from a time the beast stays at the flower bed for 12 minutes and then flies d
Zinaida [17]

A) The equation that we need to solve is:

(12ft/s)*(- d/(15ft/s) + 300s) = d

B) The distance to the hive is d = 2000ft.

<h3 /><h3>What equation can you use to find the distance of the flower bed from the hive?</h3>

We know that the bee's speed is 15 ft/s from the hive to the flower bed.

Then stays 12 minutes at the flower bed.

Then returns to the hive with a speed of 12ft/s.

The total time of the journey is 17 minutes, discounting the 12 minutes that the bee was in the flower bed, the travel only took 5 minutes.

Now, if the distance between the hive and the flower bed is d, t₁ as the time that the bee needs to go from the hive to the flower bed, and t₂ as the time in which the bee goes from the flower bed to the hive, we can write the system of equations:

t₂ + t₁ = 5min

(15ft/s)*t₁ = d

(12ft/s)*t₂ = d

With that system of equations, we can find the value of d, which is what we want to get.

Isolating t₂ in the first equation we get:

t₂ = - t₁ + 5min

Now we can replace that in the third equation:

(15ft/s)*t₁ = d

(12ft/s)*(- t₁ + 5min) = d

In the first equation we can isolate t₁:

t₁ = d/(15ft/s)

And replace that in the remaining equation:

(12ft/s)*(- d/(15ft/s) + 5min) = d

5 min = 5*60s = 300s

(12ft/s)*(- d/(15ft/s) + 300s) = d

This is the equation we need to solve to find the value of d.

-(12/15)*d + 3600ft = d

3600ft = d + (12/15)*d = (1 + 12/15)*d = (27/15)*d

(15/27)*3600ft = d = 2000 ft

We conclude that the distance to the hive is 2000ft.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
1 year ago
A regular triangular pyramid has a base area of 31.5 mm2
Yuri [45]

Answer:

maybe do the math

Step-by-step explanation:

7 0
3 years ago
Solve the simultaneous equations 4x+8y=-4 2y-5x=23
ad-work [718]

Answer:

x = -4,  y = 3/2

Step-by-step explanation:

simplify the 1st equation by dividing each term by 4 to get:

x + 2y = -1

-5x + 2y = 23

Subtract to get: 6x = -24

x = -4

find 'y':    2y - 5(-4) = 23

               2y + 20 = 23

               2y = 3

                y = 3/2

8 0
2 years ago
Read 2 more answers
19 + x/2 = 4<br> How do I do this
GuDViN [60]

Answer: x = -30

Steps:  19 + x/2 = 4

Subtract 19 from both sides: 19 + x/2 - 19 = 4 - 19

Simplify: x/2 = 15

Multiply both sides by two: x/2 (2) = -15 (2)

Simplify: x = -30

6 0
3 years ago
Which equation in slope-intercept form represents a line that passes through the point (6,−1) and is perpendicular to the line y
damaskus [11]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

If we have: y = 2x-7

m_ {1} = 2\\2 * m 2 = - 1\\m_ {2} = - \frac {1} {2}

Thus, the equation is of the form:

y = - \frac {1} {2} x + b

We substitute the point:

-1 = - \frac {1} {2} (6) + b\\-1 = - \frac {1} {2} (6) + b\\-1 = -3 + b\\-1 + 3 = b\\b = 2

Finally, the equation is:

y = - \frac {1} {2} x + 2

Answer:

y = - \frac {1} {2} x + 2

6 0
3 years ago
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