MATHEMATICS HIGH SCHOOL

Fran rode her bike 10 miles. How many yards did Fran ride her bike?
(1 mile = 1,760 yards)


A.
17,600 yards

B.
1,770 yards

C.
1,750 yards

D.
176 yards

Answers

Answer 1
Answer: A. 17,600 because there's 1760 yards in a mile so 1760*10=17600
Answer 2
Answer: A just add the zero..........

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Given quadrilateral ABCD ~ quadrilateral JKLM and AD = 14, JM = 6, and KL = 9, what is BC?----------------------

Answers

BC= 26
detailed solution is attached

If (9x − 4)(9x + 4) = ax2 − b, what is the value of a?

The value of a is _____________.

Answers

(9x - 4) (9x + 4) 
9x (9x + 4 ) -4 (9x + 4)
81x^2 + 36x - 36x - 16
81x^2 - 16

ax2 - b

therefore the value of a is equal to 81

Answer:

value of a is, 81

Step-by-step explanation:

Using the identity rule:

(a+b)(a-b)=a^2-b^2

Given the equation:

(9x-4)(9x+4)=ax^2-b

Apply the identity rule:

(9x)^2-(4)^2=ax^2-b

⇒81x^2-16=ax^2-b

On comparing both sides we have;

a = 81 and b = 16

Therefore, the value of a is, 81

6x + y = 4
X - 4y = 19

Solving systems by substitution

Answers

6x+y=4
X-4y=19

You are going to want to take -4y and put it to the other side:
X-4y=19
Which is: x=4y+19
6x+y=4
Now substitute x !
6(4y+19)+y=4
Distribute it
24y+114+y=4
Now combine like terms
25y+114=4
Subtract 114 both sides
25y= -110
Y=-4.4

Now you have y so take either equation and substitute the y
X-4(1.4)=19
X+17.6=19
X=1.4
Y=-4.4
The answer is x= 1.4 y=-4.4

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 45x + 20

Car B
y = 35x + 60

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

3 hours, 200 miles

3 hours, 180 miles

4 hours, 200 miles

4 hours, 180 miles

Answers

Answer:

4 hours, 200 miles

Step-by-step explanation:
Use the "y=mx+b" formula to solve your answer

1) A clerk have y dollars, all in $10 bills. What expression repression the number of $10 bills the clerk has?2)A concert ticket costs p dollars for an adult and q dollars for a child.Find an expression that represnts the total cost for 4 adult and 6 children.

3) Two apartment have numbers that are consecutive integers. The sum of the numbers is 59.What are the two apartment numbers ?

Answers

1) y:10;
2) 4p+6q;
3) x +( x+ 1) = 59 => 2x = 58 => x = 29 => 29 and 30;

1. 10y

2. 4p+6q

3. x+x+1=59

2x=58

x=29

29+1=30

the 2 numbers are 29 and 30

A population grows from an initial size of 10 people to an amount P(t), given by P(t)=10(3+0.5t+t^3) where t is measured in years from 1996. Find the acceleration in the population t years from 1996.a)60t people per year^2
b)30t people per year^2
c)600t people per year
d)36t people per year^2

Answers

The acceleration in the population t years from 1996 is 60t people per year^2.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

It is given that a population grows from an initial size of 10 people to an amount P(t), given by P(t)=10(3+0.5t+t³) where t is measured in years from 1996.

Now, in order to find the acceleration in the population t years from 1996, we need to find the second derivative of the populationfunction, therefore,

P(t)=10(3+0.5t+t³)\n\nP'(t)=10(0.5+3t^2)\n\nP''(t)=10(6t)\n\nP''(t)=60t

Hence, the acceleration in the population t years from 1996 is 60t people per year^2.

Learn more about Function:

brainly.com/question/5245372
Since the required is the acceleration in the population, the second derivative of the equation is needed.
The first derivative has to be determined first.
dP(t)/dt = 10(0.5+3t^2)
Next, the second derivative can be determined using the first derivative:
d2P(t) = 10(6t) = 60t
Since it's acceleration, the unit is per year^2

THE ANSWER IS a) 60t people per year^2 
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