Answer: 1/4, 4/7, 5/8
Step-by-step explanation: There are three ways:
1. <u>Convert each to a decimal: </u>
1/4 = 0.25
4/7 = 0.571
5/8 = 0.625
2. <u>Convert to a common denominator:</u>
It looks like we can multiply each by a whole number that will result in a denominator of 56:
1/4 *(14/14) = 14/56
4/7*(7/7) = 35/56
5/8 *(8/8) = 32/56
Now they can be directly compared to get the answer.
3. <u>Estimate the values. </u>
5/8 is clearly larger than 1/4. 4/7 is somewhere in between. Therefore, 1/4, 4/7, 5/8
Answer:
Step-by-step explanation:
The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.
1000 milliliters = 1 liter
750 milliliters = 750/1000 = 0.75Liter
if they combine the two batches, the total amount made would be
5 + 0.75 = 5.75Liter
= 5.75 × 1000 = 5750 milliliters
The number of 180 milliliters servings would be
5750/180 = 31 servings
There would be leftovers of 170 milliliters
Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
Answer:
1. f(4) or f(n)= 28
2. f(-2) or f(n)= -2
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Step-by-step explanation:
n=4 n=-2
f(n)= 5(n)+8 f(n)= 5(n)+8
f(n)= 5(4)+8 f(n)= 5(-2)+8
(n)= 20+8 f(n)= -10+8
f(n)=28 f(n)=-2
