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kirza4 [7]
3 years ago
6

Olive and Ryan have picture frames with the same perimeter. Olive’s picture frame has a width 1.25 times the width of Ryan’s pic

ture frame. What is the length, l, of Olive’s picture frame? Write your answer as a mixed number in simplest form.
Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Step-by-step explanation:

x=1.25y

perimeter= 2width+2length

olivias p=ryan's p so:

Ryan's p= 2*1.25 Ryan's width+ 2Olivias length

Olivias length= (2,5Ryan's width- Ryan's p)/2

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<img src="https://tex.z-dn.net/?f=x%20%20%5Cdiv%203x%20-%202%20%3D%201%20%5Cdiv%203x%20-%204" id="TexFormula1" title="x \div 3x
Maurinko [17]

Hello from MrBillDoesMath!

Answer:

x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 =   (x/3)*x - 2   =  (x^2)/3 - 2     (*)

1 \3x - 4   =  (1/3)x - 4                               (**)

(*) = (**)   =>

(x^2)/3 -2 = (1/3)x - 4        => multiply both sides by 3

x^2 - 6 = x - 12                 => subtract x from both sides

x^2 -x -6 = -12                   => add 12 to both sides

x^2-x +6  = 0

Using the quadratic formula gives:

x = 1/2 (1 +\- i sqrt(23))

Thank you,

MrB

4 0
3 years ago
State the solution to the equations f(x) and g(x).
Digiron [165]

Answer:

x = -1

Step-by-step explanation:

f(x) = g(x) when x = -1

3 0
3 years ago
Read 2 more answers
PLEASE HURRY!!! AB = 20 cm, m∠A = 30° , and $m∠C = 45° . Express the number of centimeters in the length of BC in simplest radic
MrRissso [65]
Using the Sine Rule:-

20 /sin 45 =  BC / sin 30

BC = 20 sin 30 / sin45

  = 20 * 1/2  /  1 / sqrt2
  = 20 * 1/2 * sqrt2
=  10 sqrt2   answer
3 0
3 years ago
A scientist has two solutions, which she has labeled solution A and solution B. Each contains salt. She knows that solution A is
Irina-Kira [14]
First off... let's use the decimal format for the percentages, so 85% is 85/100 or 0.85 and 45% is 45/100 or 0.45 and so on

let's say the quantities of each are "a" and "b" respectively

how much salt concentration in A? well, 0.45, so for a quantity "a", that'd be 0.45a

how much satl concentration in B? well 0.85, so for a quantity "b", that'd be 0.85b

now, she wants a mixture of 160ounces with 70% concentration, or 0.7

so the mixture will have a concentration amount of salt of 160 * 0.7

\bf \begin{array}{lccclll}&#10;&amount&concentration&&#10;\begin{array}{llll}&#10;concentrated\\&#10;amount&#10;\end{array}\\&#10;&-----&-------&-------\\&#10;\textit{sol'n A}&a&0.45&0.45a\\&#10;\textit{sol'n B}&b&0.85&0.85b\\&#10;-----&-----&-------&-------\\&#10;mixture&160&0.7&112.0&#10;\end{array}&#10;\\\\\\&#10;&#10;\begin{cases}&#10;a+b=160\implies \boxed{b}=160-a\\&#10;0.45a+0.85b=112\\&#10;----------\\&#10;0.45a+0.85\left( \boxed{160-a} \right)=112&#10;\end{cases}

solve for "a", to see how much of the 45% solution will be needed.

what about "b"?  well, b = 160 - a
8 0
3 years ago
Read 2 more answers
The graph of y=tan(x) is vertically stretched by a factor of 2, shifted a distance of 1 units to the left, and then translated 7
Klio2033 [76]

<u>Answer:</u>

Equation for the curve in its final position is y = 2tan( x + 1 ) + 7.

<u>Step-by-step explanation:</u>

We have to find equation for the curve of y=tan(x) ,with following transformations:

<em>vertically stretched by a factor of 2:</em>  y = 2tan(x)

<em>shifted a distance of 1 units to the left:</em> y = 2tan( x+1 )

<em>translated 7 units upward:</em> y = 2tan( x + 1 ) + 7

3 0
3 years ago
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