Jason and Ron together have 97 baseball cards. Jason has four more than twice as many cards as ron. How many baseball cards does each person have?

Answers

Answer 1

Answer: Let r be the number of cards Ron has.

r + 2r + 4 = 97
3r + 4 = 97
3r + 4 - 4 = 97 - 4
3r = 93
3/3r = 93/3
r = 31

Ron has a total of 31 cards and Jason has a total of 66 cards.

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Simplify 8y(y - 4) + 3y(y + 2). the choices are below 24y 2 - 26y11y 2 - 26y - 811y 2 - 26y11y 2 - 8

Write an algebraic rule to describe the translation C(5, –4) C’(–2, 1)

Answers

Answer:

The required algebraic rule of translation is $(x,y)\rightarrow (x-7,y+5)$ .

Step-by-step explanation:

The coordinates of a point are C(5, –4) and the coordinates of image are C’(–2, 1).

$C(5,-4)\rightarrow C'(-2,1)$ .... (1)

Let the algebraic rule of translation is

$(x,y)\rightarrow (x+a,y+b)$ .... (2)

From (1) and (2) we get

$x=5,y=-4$

$x+a=-2$

$5+a=-2$

$a=-2-5$

$a=-7$

The value of a is -7.

$y+b=1$

$-4+b=1$

$b=1+4$

$b=5$

The value of b is 5.

The algebraic rule of translation is

$(x,y)\rightarrow (x-7,y+5)$

Therefore the required algebraic rule of translation is $(x,y)\rightarrow (x-7,y+5)$ .

We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)

Handsome Jack is buying a pony made of diamonds. The price of the pony is P dollars, and Jack also has to pay a 25%, percent diamond pony tax.What expressions could represent how much Jack pays in total for the pony?

Answers

Answer:

P + (.25)(P)

Step-by-step explanation:

First off I WANT A DIAMOND PONY :)

P stands for what the price of the pony is, and (0.25)(P) is the diamond pony tax that has to be added to the original price.

Hope I helped, and if you are extremely grateful, send me a diamond pony :D

Answer:

P + 0.25P

Step-by-step explanation:

Find the solution of this system of equations. Separate the x- and y- values with a comma.X= -8+y
-11x+9y=4

Answers

$\begin{cases}x= -8+y \n -11x+9y=4 \end{cases}\n \n\begin{cases}x= -8+y \n -11 \cdot (-8+y)+9y=4 \end{cases}\n \n\begin{cases}x= -8+y \n 88-11y+9y =4 \end{cases}\n \n\begin{cases}x= -8+y \n -2y=4 -88\end{cases}\n \n$

$\begin{cases}x= -8+y \n -2y=-84 \ \ / :(-2)\end{cases}\n \n\begin{cases}x= -8+y \n y=(-84)/(-2) \end{cases}\n \n\begin{cases}x= -8+42 \n y=42 \end{cases}\n \n\begin{cases}x= 34 \n y=42 \end{cases}\n \n$

Need help solving problem number 41

Answers

ok rmemeber
√(a/b)=(√a)/(√b)
and
√ab=(√a)(√b)
and
(a^m)/(a^n)=a^(m-n)
so

ignore 11 for now, we will get to that at end

$\sqrt{ (49a^(5))/(4a^(3))}$ =
$\frac{\sqrt{49a^(5))}{\sqrt{4a^(3)}}$ =
$\frac{(√(49))(\sqrt{a^(5)})}{(\sqrt{4)(\sqrt{a^(3)}}$ =
$((7)(a^(2) √(a)) )/((2)(a √(a)) )$ =
$(7a^(2) √(a) )/(2a √(a) )$ =
$(7a)/(2)$

The length of the shadow of a tree is 24 feet, the tan P = .7.
Write an equation involving a trigonometric ratio that can be used to find the height x of the tree. Explain why your equation is correct.

Find the height x of the tree by using your equation.

Answers

You do not included the picture. I can guess that p is the angle formed by the shadow and the hypotenuse of the right triangle.

The the trigonometric ratio is tan(p) = x/s

Where x is the height of the tree and s is the length of the shadow.

Then, x =s*tan(p) = 24 feet * 0.7 = 16.8 feet

8 minus the quotient of 15 and y in algebraic expression

Answers

The algebraic expression "8 minus the quotient of 15 and y" can be written as:

8 - (15 / y)

Given that a verbal expression we need to convert it in algebraic form,

The given algebraic expression is "8 minus the quotient of 15 and y."

To understand this expression, let's break it down step by step:

Quotient: The quotient refers to the result of dividing one number by another.

In this case, we are dividing 15 by y. The expression "15 divided by y" can be written as 15/y.

Minus: The word "minus" indicates subtraction. It means we need to subtract the value obtained in the previous step from 8.

Putting it all together, the algebraic expression "8 minus the quotient of 15 and y" can be represented as:

8 - (15/y)

This expression represents the difference between 8 and the result obtained by dividing 15 by y.

The expression represents the result of subtracting the quotient of 15 and y from 8.

The value of y will determine the specific numerical result when you substitute it into the expression.

Learn more about algebraic expression click;

brainly.com/question/28884894

#SPJ6

Your answer would be 8-1/15y

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