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lord [1]
3 years ago
12

Prove the divisibility of the following numbers: 5^5-5^4+5^3 by 7

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Step-by-step explanation:

5⁵ − 5⁴ + 5³

Factor 5³.

5³ (5² − 5 + 1)

5³ (25 − 5 + 1)

5³ (21)

21 is a multiple of 7, so 5⁵ − 5⁴ + 5³ is a multiple of 7.

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Mr Oneill bought cheese, turkey slices and wheat rolls for $55. The ratio of the amount of money spent on cheese to the amount o
astra-53 [7]

Answer:

Mr. O'neill buy 33 turkey slices.

Step-by-step explanation:

Firstly let us denote <em>amount of money spent on Cheese by the symbol C.</em>

<em>                                  amount of money spent on Turkey by the symbol T.</em>

<em>                                   amount of money spent on Wheat by the symbol W.</em>

Now we are the ratio of amount of money spent on cheese to the amount of money spent on turkey slices as 2:3 ;

       We can represent this as  \frac{C}{T} = \frac{2}{3}

The ratio of the amount of money spent on cheese to the amount of money spent on wheat rolls is 6:5 ;

        We can represent this as  \frac{C}{W} = \frac{6}{5}

Now we will make C also 6 in the first ratio to represent similarity in ratios i.e.     \frac{C}{T} = \frac{2 * 3}{3 * 3} = \frac{6}{9}

So, the ratio of amount of money spent on cheese to the amount of money spent on turkey slices to the amount of money spent on wheat rolls is represented by 6 : 9 : 5.

To find the amount of money spent on turkey slices = \frac{9}{6+9+5} * $55 = $24.75

Since cost of each turkey slice cost = $ 0.75

Therefore, Cost of each turkey slice * Number of turkey slices = Total amount of money spent on turkey slices

    $0.75 * Number of turkey slices = $24.75

Therefore, Number of turkey slices that Mr. O'neill buy = $24.75/$0.75

                                                                                            = 33 slices.

4 0
3 years ago
A third-degree polynomial function f has real zeros -2, ½, and 3, and its leading coefficient negative. Write an equation for f.
WARRIOR [948]
Hello,

y=-k(x+2)(x-1/2)(x-3) where k is a real positive.

We may chose k=1
There are an infinite solutions.

3 0
3 years ago
PLEASE ANSWER ASAP! ANSWER MUST MUST MUST MMMMUUUUSSSSTTTTTT INCLUDE AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIES
Aleks [24]
The answer is 4/7. see it from the multiple of 3...3*4 =12 and 3*7= 21. So this is the answer: 4/7. 
4 0
3 years ago
Please help me with this it is practice and I'm confused ​
rodikova [14]

Answer:

D

Step-by-step explanation:

A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).

7 0
3 years ago
How to solve this equation<br> x2-5x=0
vodka [1.7K]

Answer:

x = 5

Step-by-step explanation:

x² - 5x = 0

(x² - 5x) /x = 0/x

x²/x - 5x/x = 0

x - 5 = 0

x = 5

Check:

x² - 5x = 0

5² - 5*5 = 0

25 - 25 = 0

5 0
3 years ago
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