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horrorfan [7]
3 years ago
10

Graphing this equation -x+4y=8

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0
The linear form of that equation is y=1/4x+2. Your y-intercept should be 2 and the slope is 1/4.

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How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}

The 3*2*1 cancels out and leaves us with:

_{6}P_{3}=6*5*4

_{6}P_{3}=120

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

6 0
3 years ago
Read 2 more answers
Tim Tradesman had a taxable income of $82,500. He figured his tax from the table.
kakasveta [241]
<span>His earned income level are as follows.
 
The base amount is $14,138.50

</span><span><span>The amount over $62,450 = $82,500 - $62,450 =$20,050

The amount of tax on the third $20,050 is given by 31% of $20,050 = 0.31 x $20,050 = $6,215.5</span>
(i.e. Multiply line 3 by 31% = $6,215.5)

Total tax = $ 14,138.50 + $6,215.50 = $20,354
(i.e. Add lines 2 and 4 = $</span>20,354)
8 0
3 years ago
I need to do this but give me a answer it says "write a real world problem that involves Multiplying a fraction and a whole numb
Sophie [7]
Answer:

You are building your kids a small desk, where the width is 1/3 of its length. The length of the desk is 6 feet. What is it’s width? What is the area of the desk?
7 0
3 years ago
Progression <br><br><br><br>I really need help with this ​
bija089 [108]

Answer:

=x+2+x+3+2x-1

=x+x+2x+2+3-1

=4x+4

6 0
3 years ago
Rahul sold a painting at 10% profit. If he had sold it for 240 more, he would have made 15% profit. What is the C.P. of the pain
dangina [55]

Answer:

$4800

Step-by-step explanation:

Let x be the C.P of the painting.

Profit=10% of x

Profit=\frac{10}{100}\times x=\frac{10x}{100}

If S.P increase by 240 then

Profit=15% of x=\frac{15x}{100}

For first case

S.P=C.P+ Profit

S.P=x+10x/100

S.P=\frac{100x+10x}{100}=\frac{110}{100}x

For second case

New S.P=x+\frac{15}{100}x

         =\frac{115}{100}x

According to question

240+S.P=\frac{115}{100}x

240+\frac{110x}{100}=\frac{115}{100}x

240=\frac{115}{100}x-\frac{110x}{100}

240=\frac{115x-110x}{100}

240=\frac{5}{100}x

x=\frac{240\times 100}{5}

x=4800

Hence, the C.P of the painting=$4800

6 0
3 years ago
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