Answer: 64%
Step-by-step explanation:
The band needs $800 for new uniforms and of that, they only raised $512.
Set up a proportion 
and plug everything you know in.
= 
Solve for x by cross multiplying and dividing.
512 × 100 = 51200
51200 ÷ 800 = 64
x = 64
The school band has raised 64% of their goal already.
The smallest area is:
A2 = (1/4) * (A1)
Substituting:
A2 = (1/4) * (12)
A2 = 3 feet ^ 2
Since both are squares then:
L2 = root (3)
L1 = root (12)
The relationship is:
L2 / L1 = (root (3)) / (root (12))
Rewriting:
L2 / L1 = (root (3)) / (root (3 * 4))
L2 / L1 = (root (3)) / (2raiz (3))
L2 / L1 = 1/2
Answer:
The fraction of the side length of the larger rug with a side length of the smaller one is:
L2 / L1 = 1/2
You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.
<span>
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.</span>
<span>Positive x positive = positive
Negative x negative = positive</span>
<span>When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.</span>
<span>Positive x negative = negative
Negative x positive = negative</span>
<span>When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.</span>
<span>Positive ÷ positive = positive
Negative ÷ negative = positive</span>
<span>When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.</span>
Answer:
y = -4x+14
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
m = (2-10)/(3-1)
=-8/2
= -4
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -4x+b
Substitute a point into the equation
10 = -4(1)+b
Add 4 to each side
14 = b
y = -4x+14
Answer:
20 fluid ounce of tomato paste
Step-by-step explanation:
Given parameters:
Recipe for the sauce;
Fluid ounces of water : Fluid ounces of tomato paste
3: 4
Number of fluid ounces of tomato sauce = 35
Unknown:
Fluid ounces of tomato paste needed = ?
Solution:
Total ratio = 3 + 4 = 7
Fluid ounces of tomato paste = 
Fluid ounces of tomato paste = 
x 35 = 20
It will take 20 fluid ounce of tomato paste to make the sauce.
