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Sladkaya [172]
3 years ago
13

And this is the last one

Mathematics
1 answer:
exis [7]3 years ago
7 0
The answer for your question is 1.45
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Prove that 5^7+5^6 is divisible by 6.
pishuonlain [190]

Answer:

The Proof for 5^{7}+5^{6}\ is\ divisible\ by\ 6 is below.

Step-by-step explanation:

To Prove:

5^{7}+5^{6}\ is\ divisible\ by\ 6

Proof:

We know law of indices

a^{m}.a^{n}=a^{m+n}

Therefore,

Step 1: Applying law of indices

\dfrac{5^{7}+5^{6}}{6}=\dfrac{5^{6}.5^{1}+5^{6}}{6}

Step 2: Taking common 5^{6} we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times (\dfrac{5^{1}+1}{6})

Step 3: 5^{1} = 5 so add 5 + 1 we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times \dfrac{6}{6}

Step 4: Cancel 6 from both denominator and numerator we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times 1=5^{6} ...That is Divisible by 6 Proved

7 0
3 years ago
At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but
zmey [24]
<span>If Tanya’s three items (x) cost the same as Tony’s four items (y), 3x = 4y. Y is 2.25 less than x, so: 3x = 4x - 4 x 2.25. 3x = 4x - 9. 3x + 9 = 4x. 9 = x. Therefore, y = 9 - 2.25. x = 9 and y = 6.75. Three times 9 and four times 6.75 is 27. Tanya’s items cost $9 each and Tony’s cost $6.75.</span>
3 0
3 years ago
Read the proof.
Eva8 [605]

Answer:

Its B kiddos

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the volume of the composite solid. Round your answer to the nearest tenth
Llana [10]

Answer:

1131.0 m^3

Step-by-step explanation:

Let h1 represent the height of the top cone, and h2 the height of the bottom cone. The volume of a cone is given by the formula ...

V = (1/3)πr^2·h

so the volumes of both cones together will be ...

V = (1/3)πr^2·h1 + (1/3)πr^2·h2 = (1/3)πr^2·(h1 +h2)

= (1/3)π(6 m)^2(12 m + 18 m) = 360π m^3

≈ 1131.0 m^3

6 0
3 years ago
Which is the most precise definition of a​ circle?
faltersainse [42]
D. The set of all points in a plane that are equidistant from a fixed point.
5 0
3 years ago
Read 2 more answers
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