MATHEMATICS HIGH SCHOOL

On Saturday, 90 people visited a museum, Tickets to the museum cost$12 for each adult and $7 for each child. The museum collected $950 in
ticket sales that day. How many adults visited the museum?
A. 26
B. 33
C. 57
D. 64

Answers

Answer 1

Answer:

Answer:

64 adult tickets were sold

Step-by-step explanation:

Let a = adult tickets sold

c = child tickets sold

a+c = 90 since there were 90 tickets sold

12a+7c = 950 since the amount of money collect is 950

c = 90-a

Substitute this into the second equation

12a +7( 90-a) = 950

Distribute

12a + 630-7a = 950

Combine like terms

5a +630 = 950

Subtract 630 from each side

5a = 950-630

5a = 320

Divide by 5

5a/5 = 320/5

a =64

64 adult tickets were sold

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Carlos and Maria drove a total of 197 miles in 3.8 hours. Carlos drive the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive?

The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10Find d when v=70

Answers

$d \propto v^2$

$\implies d=kv^2$

substitute the given values, $5=k(10)^2\implies k=\frac1{20}$

now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$

A big blunder from my side, now fixed!

Which angle measures approximately 152°?

Answers

Answer:

The answer is YZC, so the third option

Step-by-step explanation:

The explanation for this one is fairly simple, as the lines are already drawn out for you!

The line labeled C lines up with 152 on the protractor, and after connecting that to the base point Z in the middle and then the base line of Y, you get YZC

Hopefully I helped you!

Answer:

yzc

Step-by-step explanation:

i took the test and got it right

Bicycle rental on the seawall at the beach cost a mandatory minimum of $5 for the first hour and then $4 for each additional hour. When three or more bikes are rented together, the owner gives a 20% discount on the additional hours. If Marty and his family rent four bicycles, identify the expression which represents the cost.A) 12.8x + 20x
B) 12.8x + 20
C) 12.8x + 16x
D) 32.80x

Answers

Answer: The correct option is (B) $12.8x+20.$

Step-by-step explanation: Let, 'x' be the number of hours for which the bicycle is rented except the first hour.

Then, according to the given information, the cost of renting 1 bicycle is given by

$c=4x+5.$

There is a discount of 20% on additional hours 'x' when three or more bikes are rented together.

Since Marty and his family rent four bicycles, so the discount on additional hours for 1 bicycle is given by

$D=20\%* 4x=(20)/(100)* 4x=(4)/(5)x.$

Therefore, the total cost of renting 4 bicycles is given by

$C=4\left(5+(4x-(4)/(5)x)\right)=4\left(4+3.2x\right)=12.8x+20.$

Thus, the required expression for the cost is $12.8x+20.$

Option (B) is correct.

Cost = fix cost + hourly cost - discount

Cost = 4* [5 + 4x - 4x(20/100)] = 4*[5 + 4x - 0.8x] = 4*[5 + 3.2x] = 20 + 12.8x

Answer: option B) 12.8x + 20

What value of g makes the equation true (×-3)(×+5)=×2+g×-15. -8. -2. 2. 8

Answers

(x - 3)(x + 5) = x2 + gx - 15
x2 – 3x + 5x -15 = x2 + gx – 15
x2 – x2 + 2x = gx – 15 + 15
2x = gx
2 = g
So the value of g the makes the equation true is 2

Answer:

the answer is 2

Step-by-step explanation:

A trampoline has an area of 49 pi square feet. what is the diameter of the trampoline?

Answers

The area of a circle is pi times the radius squared. Set up the equation pi x r squared = 49 pi square feet. Divide both sides of the equation by pi.
r squared = 49 square feet. Take the square root of both sides. r = 7 feet.
The diameter of the trampoline is double the radius which is 14 feet.

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