Each smaller donation was for $20 The largest donation was $15 greater than the smaller donation. First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios. 5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35 So the 2 smaller donations were $20 each, and the largest donation was for $35. The largest donation was $35 - $20 = $15 larger than one of the smaller donations.
-- 30 miles per hour
-- $6.50 per hour
-- 365 days per year
-- 60 seconds per minute
-- $2.49 per pound
-- 3.47⁹ per gallon
-- 1800 calories per day
-- 360 degrees per revolution
An equation which can be used to solve the given system of equations is 3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11.
<u>Given the following data:</u>
y = 3x⁵ - 5x³ + 2x² - 10x + 4
y = 4x⁴ + 6x³ - 11
<h3>What is a system of equations?</h3>
A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneoulsy.
Equating the given equations, we have:
y = y
3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11
3x⁵ - 5x³ + 2x² - 10x + 4 - (4x⁴ + 6x³ - 11) = 0
3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0
3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0
3x⁵ - 4x⁴ - 11x³ + 2x² - 10x + 15 = 0
Read more on equations here: brainly.com/question/13170908
When an exponent is outside the parentheses, you "distribute" it to the other exponents inside the parentheses.
(4^p)^3 would become 4^3p
(4^1)^3 would become 4^3
When the bases are the same, you just simply add the exponents.
Let's just ignore the bases so it'll look less confusing.
3p + 3 = 15
Subtract 3 from both sides.
3p = 12
Divide both sides by 3.
<em>p = 4</em>
