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DIA [1.3K]
1 year ago
14

The sum of 3/4 and a number is equal to 1/4 subtracted from six times the number. Find the number.

Mathematics
1 answer:
Bess [88]1 year ago
7 0

The sum of 3/4 and a number is equal to 1/4 subtracted from six times the number. The number is \frac{1}{5}.

Given The sum of \frac{3}{4}and a number is equal to \frac{1}{4} subtracted from six times the number.

Let us take the number as 'n'.

So, we can write

The sum of \frac{3}{4} and a number as \frac{3}{4} +n.

To sum, one must add two or more numbers or values to produce a new number.

To subtract is to take away from another value in order to obtain the desired value.

\frac{1}{4} subtracted from six times the number as 6n-\frac{1}{4}

\frac{3}{4} +n=6n-\frac{1}{4}\\n-6n=-\frac{1}{4}-\frac{3}{4}\\-5n=-\frac{4}{4}\\5n=1\\n=\frac{1}{5}

Therefore, the number is \frac{1}{5}.

To learn more about sum visit: brainly.com/question/13013054

#SPJ1

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A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether
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Answer:

Step-by-step explanation:

2+3.25=5.25 or 5 1/4 cups of flour total

8 0
3 years ago
Slove 2/3 (6w-18)=12
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Hello, the answer is simple it is W=6

7 0
3 years ago
Which expression correctly displays the calculations to find the a^5b^4 term of (a+b)^8
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

THE BINOMIAL THEOREM shows how to calculate a power of a binomial -- (a + b)n -- without actually multiplying.

For example, if we actually multiplied out the 4th power of (a + b) --

(a + b)4 = (a + b)(a + b)(a + b)(a + b)

-- then on collecting like terms we would find:

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 .  .  .  .  (1)

Note:  The literal factors are all possible terms in a and b where the sum of the exponents is 4:  a4,  a3b,  a2b2,  ab3,  b4.

The degree of each term is 4.

The first term is actually a4b0, which is a4 · 1.

Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:

(a + b)5 =  ? a5 +  ? a4b +  ? a3b2 +  ? a2b3 +  ? ab4 +  ? b5

The question is, What are the coefficients?

They are called the binomial coefficients.  In the expansion of

(a + b)4, the binomial coefficients are

1  4  6  4  1

line (1) above.

 Note the symmetry:  The coefficients from left to right are the same right to left.

The answer to the question, "What are the binomial coefficients?" is called the binomial theorem.  It shows how to calculate the coefficients in the expansion of (a + b)n.

The symbol for a binomial coefficient is The binomial theorem.  The upper index n is the exponent of the expansion; the lower index k indicates which term, starting with k = 0.

For example, when n = 5, each term in the expansion of  (a + b)5  will look like this:

The binomial theorema5 − kbk

k will successively take on the values 0 through 5.

(a + b)5 = The binomial theorema5  +  The binomial theorema4b  +  The binomial theorema3b2  +  The binomial theorema2b3  +  The binomial theorem ab4  +  The binomial theoremb5

Note:  Each lower index is the exponent of b.  The first term has k = 0 because in the first term, b appears as b0, which is 1.

Now, what are these binomial coefficients, The binomial theorem ?

The theorem states that the binomial coefficients are none other than the combinatorial numbers, nCk .

The binomial theorem  =  nCk

 (a + b)5  =  5C0a5 + 5C1a4b + 5C2a3b2 + 5C3a2b3 + 5C4ab4 + 5C5b5

  =  1a5 + The binomial theorema4b + The binomial theorema3b2 + The binomial theorema2b3 + The binomial theoremab4 + The binomial theoremb5

  =  a5  +  5a4b  +  10a3b2  +  10a2b3  +  5ab4  +  b5

The binomial coefficients here are

1  5  10  10  5  1.

8 0
2 years ago
Janeen used 16 pieces of fruit to make her salad. If 1/4 of the fruits were peaches, how many peaches did she use? Make a drawin
RSB [31]
4 pieces of peach
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3 0
3 years ago
Read 2 more answers
Graph the equation on the coordinate plane.<br><br><br><br> y = 4x+4
Alla [95]

To graph the equation of the line, find the x-intercept and the y-intercept of the function

we have

y=4x+4

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

Step 1

<u>Find the x-intercept</u>

For y=0

0=4x+4

4x=-4

x=-1

the x-intercept is the point (-1,0)

Step 2

<u>Find the y-intercept</u>

For x=0        

y=4*0+4

y=4

the y-intercept is the point (0,4)

Step 3

Graph the points and draw the line

see the attached figure

therefore

the answer in the attached figure

8 0
3 years ago
Read 2 more answers
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