Answer:
Part A
The number of cups of blue paint that Lara mixed with each cup of red paint is 3 cups of blue paint
Part B
1/3 cup of red paint is added to 1 cup of blue paint
Part C
The unit price per cup of blue paint is $8 per cup of blue paint
Step-by-step explanation:
The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3: 1
Part A: Write a sentence to describe the number of cups of blue paint that Lara mixed with each cup of red paint (4 points)
The ratio is
Blue paint : Red paint
= 3 : 1
Hence,
The number of cups of blue paint that Lara mixed with each cup of red paint is 3 cups of blue paint
Part B: How many cups of red paint should Lara add to each cup of blue paint to make the shade of purple? Explain your reasoning (4 points)
From Part A , we know that
3 cups of blue paint = 1 cup of red paint
1 cup of blue paint = y
Cross Multiply
3 × y = 1 × 1
y = 1/3
Hence, 1/3 cup of red paint is added to 1 cup of blue paint
Part C: I Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? (2 points)
6 cups of blue paint = $48
1 cup of blue paint = x
6 × x = $48 × 1
x = $48/6
x = $8
Answer:
The perimeter of the figure is 111.46 units
Step-by-step explanation:
Given:
RS = 43
LS = 18√2
A right Triangle is attached to a Rectangle.
A right Triangle is having measure angle 45° , 90°
and Hypotenuse = 18√2
∴ The Third Angle measure will also be 45° {angles Sum property of a triangle}
∴ the right angled triangle is an Isosceles triangle.
∴ Two sides are equal LT = TS
To Find:
Perimeter of figure = ?
Solution:
we have
we Know sin 45 = 1/√2
∴ 
Now ,
ARTL is a Rectangle
∴ opposite side of a rectangle are equal
∴ LT = AR = 18 unit
and AL = RT
But,
RT = RS - TS
= 43 - 18
25
∴ AL = RT = 25
∴ Perimeter of figure = AL + LS + RS + AR
= 25 + 18√2 + 43 + 18
= 86 + 18√2
= 111.455
= 111.46 units
∴ Perimeter of figure = 111.46 units
Answer
you can look this up on the web
Step-by-step explanation:
Answer:
4+11x+15
Step-by-step explanation:
2×2=4 and 6x+5x=11× therefore 15 is left alone
Ratio of 1:3:5
Sum= 1+3+5 = 9 total parts
dividing 72kg
For 1: = 1/9 * 72 = 8kg
For 3: = 3/9 * 72 = 24kg
For 5: = 5/9 * 72 = 40kg
