Answer:
(x + y)1 - a)
Step-by-step explanation:
x + y - ax - ay
= x - ax + y - ay
= x(1 - a) + y(1 - a)
= (x + y)1 - a)
Answer:
3 1/3
Step-by-step explanation:
<u>Step 1</u> is to look at the problem.
Here, you notice that the first two numbers have fractions that are quarters. The total of those two fractions is 1/4 + 3/4 = 4/4 = 1.
So, the sum of the first two numbers is ...
1 1/4 + 3/4 = 1 +(1/4 +3/4) = 1 +1 = 2
<u>Step 2</u> is to add the next mixed number, which has a fraction with a different denominator. Since you have no fractions to add at this point, the sum is just ...
2 + 1 1/3 = 3 1/3
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<em>Comment on adding fractions</em>
Generally, adding fractions requires you determine a common denominator. Often, you are asked to find the <em>least</em> common denominator, but that isn't necessary. Sometimes that can save the work of reducing the fraction that results, but sometimes it makes more work.
Here, a common denominator for fourths and thirds would be twelfths:
1/4 = 3/12
1/3 = 4/12
However, since adding the fourths results in an integer, no common denominator is necessary.
In constructing the equation, you need to know the following:
1. What don't we know? How many minutes you must talk to have the same cost for both calling plans. So, let x be the number of minutes.
2. What do we know? Plan 1 charges $17.50 per month plus $0.17 per minute used and Plan 2 charges $32 per month plus $0.07 per minute used.
So the equation must look like this: 17.50 + .17x = 32 + 0.07x
Solving the equation:
1. Multiply both sides by 100
(100) 17.5 + .17x = 32 + 0.07x (100)
1750 + 17x = 3200 + 7x
2. Subtract 1750 from both sides
1750 + 17x - 1750 = 3200 + 7x - 1750
17x = 7x +1450
3. Subtract 7x from both sudes
17x - 7x = 7x + 1450 - 7x
10x = 1450
4. Divide both sides by 100
10x / 10 = 1450/10
x= 145 minutes
145 minutes is the number of minutes you must talk to have the same cost for both calling plans.
Answer:
i need these points for a question sorry , super sorry hope u get help tho
Step-by-step explanation:
Answer:
5
Explanation:
So for these, a triangle always equals 180 so you just have to set it up where you add all the sides together to equal 180. Also because it is an isosceles triangle, it means that the two bottom angles are equal so start by setting them equal and solving for x:
75 = 3x
So divide both sides by 3:
25 = x
Now you really didn't have to solve for x because you already know that it equals 75, so you could just said x doesn't matter and just treat it like a 75, but I explained it just in case.
So now that you have your base angles which added together equal 150 lets set it all equal to 180:
4y + 10 + 150 = 180
Now I will simplify this:
4y + 160 = 180
subtract 160 from both sides:
4y = 20
now divide both sides by 4:
y = 5
hope this helps!
