1 batch . . . . 2-1/4 cups
2 batches . . 4-1/2 cups
3 batches . . 6-3/4 cups
4 batches . . 9 cups
.
.
<em>7 batches</em> . . 7(2 + 1/4) =
(7 x 2) + (7 x 1/4) =
14 + ( 7/4) =
14 + 1-3/4 = <em>15-3/4</em>
c). Write a proportion: (1 batch) /(3 dozen) = (x) / (200 cookies)
1 dozen = 12 cookies
3 dozen = 36 cookies
So the proportion is (1 batch)/(36 cookies) = (x) / (200 cookies)
Cross-multiply: (1 batch) x (200 cookies) = ('x' batch) x (36 cookies)
Divide each side by (36 cookies):
(1 batch x 200 cookies / 36 cookies) = 'x' batch
(200 batch / 36) = 'x' batch
x = 200/36 = <u>5.55 batches</u>
If you can only make whole batches, then you need to make 6 of them
in order to have at least 200 cookies.
d). There's more than one possible unit rate here:
-- 2.25 cup flour per batch
-- 0.75 cup flour per dozen cookies
-- 0.0625 cup flour per cookie
-- 16 cookies per cup flour
-- 0.444 batch per cup flour
etc.
(Area of 1) + (Area of 2) = (Area of 3) this statement about the squares must be true.
What is Right angle traingle?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest of the three sides, known as the hypotenuse, is the third side.
we know that;
By applying the Pythagorean Theorem;
.............................(1)
Area of the square says A1;
A1 = a^2 unit^2 ...............................(2)
Area of the square says A2;
A2 = b^2 unit^2 .................................(3)
Area of the square says A1;
A3 = c^2 unit^2 ..................................(4)
Replace the A1, A2, and A3 values in the equation 1 ;
A3 = A1 + A2
therefore;
(Area of 1) + (Area of 2) = (Area of 3).
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I hope this helps you
Thomas x age
Huilan 3x age
x+3x=112
4x=112
x=28
If the 35 teaspoons of blue paint are there. Then for the purple paint, we need to add 42 teaspoons of red paint.
<h3>What are ratio and proportion?</h3>
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A mixture of purple paint contains 6 teaspoons of red paint and 5 teaspoons of blue paint.
To make the same shade of purple paint using 35 teaspoons of blue paint, then the amount of the red paint that you need will be
Let x be the amount of the red color needed.
Then we have
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Answer: I only see 15 Points
Step-by-step explanation: