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zheka24 [161]
3 years ago
9

Hayden mixed 6 cups of blue paint with 8 cups of yellow paint to make green paint. To represent the relationship between the num

ber of cups of blue paint,b, and the number of cups of yellow paint ,y, needed to make the same shade of green paint, Hayden wrote the equation b=blank(y). What number should be placed in the blank?
Mathematics
2 answers:
Keith_Richards [23]3 years ago
4 0
B=6 and y=8

b=ky using b and y from above we get:

6=8k so

k=6/8

k=3/4 so

b=(3/4)y or if you prefer

b=3y/4 or

b=0.75y

I don't know which form they gave you in the answer choices :)
Lelu [443]3 years ago
3 0
There is 6 cups of blue paint so, blue=6 and 8 cups of yellow paint so yellow=8
the equation is b=ky so you'd get

6=8k then, you rearrange the problem

k=6/8
and if you simplify you would get

k=3/4 so

b=(3/4)y

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Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.
eimsori [14]

<u>Additional requirements in figure</u> :-

Mark point :-

  • A
  • B
  • C
  • D
  • E

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

<u>✿</u><u>Now let the left angle be </u><u>x</u>

  • 90° +90° + 90° + x = 360°
  • 180° + 90° + x = 360°
  • 270° + x = 360
  • x = 360° - 270°
  • x = 90°

<u>we know</u> :

Area of rectangle = Length × Breadth

STEPS :

  • Area of rectangle = Length × Breadth

  • Area of rectangle = 7 × 8

  • Area of rectangle = 56 in²

<u>Now let's find EF</u> :

  • EF = BD - EC

  • EF = 7 - 4

  • EF = 3 in

<u>To find A</u>

<u>F</u> :

  • A•F = AB - CD

  • A•F = 12 - 8

  • A•F = 4 in

<u>In triangle AFE</u>:

  • EF is base of triangle
  • A•F is height of triangle

We know :

<u>Area of triangle =(</u><u> </u><u>Height</u><u> </u><u>×</u><u> </u><u>Base)/2</u>

Steps :

  • Area of triangle = (Height × Base)/2
  • Area of triangle = (4 × 3)/2
  • Area of triangle = 12/2
  • Area of triangle = 6 in²

<u>To find area of figure</u> :

  • Area of figure = Area of rectangle + Area of triangle
  • Area of figure = 56 + 6
  • Area of figure = 62 in²

______________________

~WindyMint

5 0
2 years ago
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