Answer:
y-1=2(x-2)
Step-by-step explanation:
NEED AS SOON AS POSSIBLE!!!
Kaylee is mixing paint for an art project. She mixes 5 ounces of green paint with every 3 ounces of white paint. She needs 50 ounces of the paint mixture. I need it as a equation
Answer:
Step-by-step explanation:
Let Kaylee used the amount of green paint in the mixture = x ounces
and the amount of white paint = y ounces
Total amount of mixture = 50 ounces
Equation will be x + y = 50 ------(1)
Ratio of green paint to the white paint in the mixture = 5 : 3
⇒ x : y = 5 : 3
⇒ [tex]\frac{x}{y}=\frac{5}{3}[/tex]
⇒ x = [tex]\frac{5}{3}y[/tex] ---------(2)
Therefore, By solving these two equations by substitution method we can get the amount of green and white paint used in the mixture.
Final answer:
Kaylee mixes paint at a ratio of 5 parts green to 3 parts white and needs 50 ounces of the mixture. By setting up a system of equations with G for green paint and W for white paint, we find that Kaylee will use 31.25 ounces of green paint and 18.75 ounces of white paint.
Explanation:
Kaylee is mixing paint for an art project. She mixes 5 ounces of green paint with every 3 ounces of white paint. She needs to create a total of 50 ounces of the paint mixture. To represent this situation as an equation, we first need to determine the ratio of green to white paint and then find out how many parts of each color we need to make up the 50 ounces.
We know that the mixture is made with 5 parts green for every 3 parts white. If we let G represent the total amount of green paint and W represent the total amount of white paint, we can use the ratio to write the equation G/W = 5/3. We also know that G + W = 50 because the total mixture is 50 ounces.
To solve this system of equations, multiply both sides of the first equation by W to get G = (5/3)W. Substitute this value into the second equation to get (5/3)W + W = 50. To find the value of W, you can solve this equation:
Combine like terms: (5/3)W + (3/3)W = (8/3)W = 50Multiply both sides by 3 to get rid of the fraction: 8W = 150Divide both sides by 8: W = 150/8 = 18.75 ounces of white paint.Now, we substitute W back into G = (5/3)W to find the amount of green paint:
G = (5/3) * 18.75 = 31.25 ounces of green paint.So Kaylee will use 31.25 ounces of green paint and 18.75 ounces of white paint to create her 50 ounces of paint mixture.
Find the area of the triangle with A = 60°, b = 11 feet, and c= 8 feet. Round to the nearest tenth.
Answer:
38.1 sq. ft
Step-by-step explanation:
angle A = 60 deg.
length a = unknown
b = 11 feet
c = 8 feet
angle B must be larger than angle C
try cos A = 8/11 ? no since cos A = 0.5 so this is not a 30-60-90 triangle
Area of triangle = (1/2)* base * height
height = ...
imagine... 8 is hypotenuse and then adjacent leg = 8*cos 60
then height = 8 * sin 60 = 8 * (root(3)/2) = 4*root(3)
Area of triangle A = (1/2)*11 feet * 4*root(3)
A =22*root(3) sq. ft. = 38.105 sq. ft = 38.1 sq. ft
What is 8 raised to the -2/3 power? I need help
Answer:
The answer will be 0.25 or 1/4
Step-by-step explanation:
8^(-2/3)= 0.25
HOPE THIS HELPS!! PLEASE GIVE BRAINIEST!!
What two numbers does the square root of 161 lie between
Answer:
12 and 13
Step-by-step explanation:
use a calculator ツ
Answer:
12-13
Step-by-step explanation:
Your friend tells you that if you let him keep 50 of your Pokemon cards for a month, he will give you 1 card extra when he returns your cards. What is the annual rate of interest he is willing to pay for the borrowed cards? Note: Even though he only keeps your cards for a month, we can still calculate an annual interest rate
Answer:
the answer depends on which type of interest we use:
simple interest rate = 24%compound interest rate = 26.82%Step-by-step explanation:
the interest rate paid for holding the cards one month 1/50 or 2%.
to convert 2% monthly interest rate to a simple annual rate:
monthly rate x 12 months = 2% x 12 = 24%
now to convert 2% monthly interest rate to an annual rate (using compound interest):
= (1 + r)ⁿ - 1= (1 + 0.02)¹² - 1 = 1.2682 - 1 = 0.2682 or 26.82%in compound interest, earned interest earns even more interest by itself besides the interest earned by the principal.
Simplify 2m-5/6m-15
Answer:
Pull out like factors :
6m - 15 = 3 • (2m - 5)
Cancel out (2m - 5) which appears on both sides of the fraction line.
Final result:
1
— = 0.33333
3
Step-by-step explanation: