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Evgen [1.6K]
3 years ago
11

a shop sells sweets in bags of 7 and 20 what is the largest number of sweets that cannot be purchased exactly?

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0
By the Frobenius Coin Theorem, also known as the Postage Stamp Theorem or the Chicken McNugget Theorem, the maximum amount that cannot be represented as a sum of multiples of two relatively prime numbers a and b (numbers that have GCF of 1) is ab-a-b.  Plugging 7 and 20 in, our answer is 7*20-7-20, or 140-27, or 113.
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There are x number of students at helms. If the number of students increases by 7.8% each year, how many students will be there
vodomira [7]

There will be 1.078x students next year and equation is number of students in next year = x + 7.8% of x

<h3><u>Solution:</u></h3>

Given, There are "x" number of students at helms.  

The number of students increases by 7.8% each year which means if there "x" number of students in present year, then the number of students in next year will be x + 7.8% of x

Number of students in next year = number of students in present year + increased number of students.

\begin{array}{l}{\text { Number of students in next year }=x+7.8 \% \text { of } x} \\\\ {\text { Number of students in next year }=x\left(1+\frac{7.8}{100}\right)} \\\\ {\text { Number of students in next year }=x(1+0.078)=1.078 x}\end{array}

Thus there will be 1.078x students in next year

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3 years ago
3(4x−2)=2(5x+3) what is the answer pls asap
Paha777 [63]

Answer:

6

Step-by-step explanation:

1. get rid of parentheses: 12x -6 = 10x +6

2. group like terns together: 12x-10x = 6+6

3. simplify: 2x = 12

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7 0
3 years ago
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The graph of a function, ƒ( x), is plotted on the coordinate plane. Select two of the following functions that would move the gr
Alex17521 [72]

Answer:

The following functions would move the graph of the function to the right on the coordinate plane.

C) f(x-3)+1

G) f(x-5)

Step-by-step explanation:

We need to check for those functions which shows a horizontal shift of graph to the right.

Translation Rules:

Horizontal shift:

f(x)\rightarrow f(x+c)

If c>0 the function shifts c units to the left.

If c the function shifts c units to the right.

Vertical shift:

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying rules to identify the translation occuring in each of the given functions.

A) f(x+2)-7

Translation: f(x)\rightarrow f(x+2)-7

The translation shows a shift of 2 units to the left and 7 units down.

B) f(x)-3

Translation: f(x)\rightarrow f(x)-3

The translation shows a shift of 3 units down.

C) f(x-3)+1

Translation: f(x)\rightarrow f(x-3)+1

The translation shows a shift of 3 units to the right and 1 units up.

D) f(x)+4

Translation: f(x)\rightarrow f(x)+4

The translation shows a shift of 4 units up.

F) f(x+6)

Translation: f(x)\rightarrow f(x+6)

The translation shows a shift of 6 units to the left.

G) f(x-5)

Translation: f(x)\rightarrow f(x-5)

The translation shows a shift of 5 units to the right.

4 0
3 years ago
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Minchanka [31]
The correct answer choice is
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3 years ago
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zhannawk [14.2K]

They're equal.

X=Y=Z

7 0
3 years ago
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