Write a ratio for the following description: Kaleel made three times as many baskets as john during basketball practice.

Answers

Answer 1

Answer: You would have 3 times the amount of baskets john(j) made equals the amount of baskets kaleel(k) made. So you would have 3j=k.

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(6^4/12^4)^2 as a single power

Answers

Answer: 6^8 / 12^8

Step-by-step explanation:

To simplify the expression (6^4/12^4)^2 as a single power, you can use the properties of exponents.

First, simplify the numerator and denominator separately:

(6^4/12^4)^2 = (6^4/12^4) * (6^4/12^4)

Now, use the fact that (a/b)^2 = a^2 / b^2:

= (6^4 * 6^4) / (12^4 * 12^4)

Next, use the properties of exponents to combine the like bases:

= 6^(4+4) / 12^(4+4)

= 6^8 / 12^8

Now, you can simplify further by dividing both the numerator and denominator by a common power of 12 (in this case, 12^8):

= (6^8 / 12^8) / (12^8 / 12^8)

= (6^8 / 12^8) / 1

= 6^8 / 12^8

So, (6^4/12^4)^2 simplifies to 6^8 / 12^8 as a single power.

I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.(y= mx+b)

Answers

Answer: y = 3x + 60

Step-by-step explanation:

Set up two equations and solve the system:

270 = 70x + b

- (150 = 30x + b)

120 = 40x

3 = x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b

Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student

The fixed rate of gym fee of $60 plus a rate of $3 per student.

The fixed-rate is;

$\rm y=3x+60$

Given

I rent a gym for $150.00 for 30 students.

Another time I rent the gym for $270.00 for 70 students.

Linear function;

A linear function is a function that forms a straight line in a graph.

Let x be the number of students and y be the total cost of renting the gym.

To find the fixed-rate let us write the equation of line representing the total cost of renting a gym for x students.

The equation representing a fixed rate is;

$\rm y = mx+b$

I rent a gym for $150.00 for 30 students.

$\rm 150 = 30x + b$

Another time I rent the gym for $270.00 for 70 students.

$\rm 270 = 70x + b$

Subtracting both the equations;

$\rm 150-270=30x+b-70x-b\n\n-120=-40x\n\n120=4x\n\nx=(120)/(4)\n\nx=3$

Substitute the value of x in equation 1

$\rm 150 = 30x + b\n\n150=30(3)+b\n\n150=90+b\n\nb=150-90\n\nb=60$

Therefore,

The fixed-rate is;

$\rm y=mx+b\n\ny=3x+60$

Hence, the fixed rate of gym fee of $60 plus a rate of $3 per student.'

To know more about linearfunction click the link given below.

brainly.com/question/371915

Emanuel read 150 pages in 5 hours. how many pages would he read in 4 1/2 hours?

Answers

there is 10 half an hours in 5 hours

in 4 1/2 there are 9

so 150/10=15

15x9=135

$From\ proportion:\n\n5\ \ \ -\ \ \ 150\n4(1)/(2)\ \ -\ \ \ x\n\n5x=(9)/(2)\cdot150\n5x=675\ \ \ \ |:5\nx=135\n\nEmanuel\ would\ read\ 135\ pages.$

The product of twenty-one negative integers is negative. TRUE or FALSE.

Answers

The answer to the question is true

The answer is true...

Solve each system using substitution x=-2y=1 x=y-5

Answers

You solve either one for y,but I chose the second one.
Add 5 to both sides and you get
X+5=y
Plug this in to the first equation
X=-2(x+5)+1
I am assuming that is plus one instead of equal since the keys are near each other on a phone.
Back to the math: use the distributive property to get
X=-2x-10+1 now combine terms
X=-2x-9
Add 2x to both sides to get
3x=9
Divide both sides by 3 to get
X=3
Now plug 3 in as x in any of the above
I will choose the second one again
So 3=y-5 subtract 5 from both sides to get
Y=8
So the solution is (3,8)

Phil and Nick are selling fruit for a fundraiser. Customers can buy small and large boxes of tangerines. Phil sold 11 small boxes and 10 large boxes of tangerines for a total of $146. Nick sold 5 small boxes of tangerines and 12 large boxes of tangerines for a total of $126. Write the systems of equations.
What is the cost of a large box of tangerines?

Answers

Answer:

11s + 10l = 146

5s + 12l = 126

Step-by-step explanation:

Let :

Small box = s

Large box = l

11s + 10l = 146 - - - - (1)

5s + 12l = 126 - - - - (2)

Multiply (1) by 5 ; (2) by 11

55s + 50l = 730

55s + 132l = 1386

Subtract

-82l = - 656

l = 8

11s + 10(8) = 146

11s + 80 = 146

11s = 66

s = $6

Hence, the price of a large box of tangerine = $8

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