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Rashid [163]
3 years ago
12

One pound of bananas costs $2 less than 1 pound of pears. Together, 6 pounds of bananas and 5 pounds of pears cost $23.20. How m

uch would 4 pounds of pears cost?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

Answer:

$8.96

Step-by-step explanation:

5 pounds of pears = 11.20

11.20 divided by five is 2.24

2.24 x 4 = 8.96

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Using principle of mathematical induction prove that 6^-1 divisble by 5 .​
salantis [7]

I suppose the claim is 5 \mid 6^n - 1 for n\in\Bbb N.

When n=1, we have 6^1 - 1 = 6 - 1 = 5, and of course 5 divides 5.

Assume the claim holds for n=k, that 5 \mid 6^k - 1. We want to use this to show it holds for n=k+1, that 5 \mid 6^{k+1} - 1.

We have

6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5

Since 5 \mid 6^k - 1, we can write 6^k - 1 = 5\ell for some integer \ell. Then

6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)

which is clearly divisible by 5. QED

5 0
2 years ago
3. List the angles of the triangle in order from smallest to largest.
Veseljchak [2.6K]

Answer:

The list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Step-by-step explanation:

We know that in a triangle the greater angle has the longer side opposite to it.

From the given triangle,

Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.

Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.

Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.

Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

6 0
3 years ago
Which does not represent the set shown on this number line?
jeyben [28]
I believe the answer is H because (-2,3) would be a point on a graph not a number line.
4 0
3 years ago
Equation a: -4x+20-a=4(-x+5)+a
Aleks04 [339]

They do not equal each other

Step-by-step explanation:

the -a and +a make them not equal

4 0
3 years ago
I need help asap im timed
Iteru [2.4K]

Answer:-

<em>Refer</em><em> </em><em>to</em><em> </em><em>attachment</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>required</em><em> </em><em>solution</em>.

8 0
3 years ago
Read 2 more answers
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