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Igoryamba
4 years ago
5

Prove that 5^7+5^6 is divisible by 6.

Mathematics
1 answer:
Valentin [98]4 years ago
3 0

Answer:

5^7+5^6 = 93750

93750/6 = 15625

Hence 5^7+5^6 is divisible by 6.

Step-by-step explanation:

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Please help me this is due in less than 45 minutes!
Natasha_Volkova [10]

Answer:

1.) It's 20th century painting

2.) 0.5 probability

Step-by-step explanation:

If the universal = 60

We need to first get the value of X. That is,

x (x - 2) + x + 2x + 8 + 10 = 60

First open the bracket

x^2 - 2x + x + 2x + 8 + 10 = 60

x^2 + x + 18 = 60

x^2 + x - 42 = 0

Factorise the above equation

x^2 + 7x - 6x - 42 = 0

x (x + 7) -6(x + 7) = 0

x = 6 or - 7

Since x can't be negative, so we will ignore -7

The value for T = 6(6 - 2) = 6×4 = 24

The value for B = 2(6) + 8 = 12 + 8 = 20

If a painting is chosen from random,

If it's from 20th century, the probability will be 34/60 = 0.567

If it's from British painting, the probability will be 30/60 = 0.5

We can therefore conclude that it's from 20th century painting since it has higher value of probability.

The the probability of choosing a British painting will be 30/60 = 0.5

5 0
3 years ago
Which transformations would affect the asymptote of a logarithmic<br> function?
Rufina [12.5K]
Transformations of logarithmic graphs behave similarly to those of other parent functions. We can shift, stretch,compress, and reflect the parent function y=log b (x) without loss of shape.
4 0
3 years ago
Read 2 more answers
At the same store, Peter bought 2 pairs of pants and 5 shirts for $61, and Jessica bought 3 pairs of pants and 4 shirts for $67.
svetlana [45]

Hey there!!

Given :

The total cost for 2 pairs of pants and 5 shirts is $61.

The total cost for 3 pairs of paints and 4 shirts is $67.

<em>Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'. </em>

Now, let's get these into an equation.

<em>Peter's equation</em> :

... 2p + 5s = 61

<em>Jessica's equation : </em>

...3p + 4s = 67

......................................................................................................

2p + 5s = 61 --- (1)

3p + 4s = 67 --- (2)

Multiply the first equation with 3 and the second equation with 2.

6p + 15s = 183

6p + 8s = 134

S<em>ubtract both the equations - </em>

... 7s = 49

Divide both sides with 7.

... s = 7

<u><em>Hence, the cost of each shirt is $7. </em></u>

Hope my answer helps!!


6 0
4 years ago
What percent 591 is of 2364?
Novosadov [1.4K]
Since percent means parts out of 100 then x/100=x%

the easy way is to do it is to divide 591 by 2364
591/2364=0.25
0.25/1 multiply by 100/100=25/100=25%

the answer is 25%

3 0
3 years ago
Read 2 more answers
Jack, marta and steve all took a math assesment. jack got a 7/8, marta got a 0.73 and steve got a 78% who had the highest score
Jobisdone [24]

Answer: Jack

Step-by-step explanation: This is because you already found out the 78% so therfore you have to find the decimals and then convert it to a percentage. the fraction (jack) converts to .875 which is 87.5%. Then the decimal is 73%.

4 0
3 years ago
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