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xz_007 [3.2K]
3 years ago
13

Put the following equation of a line into slope-intercept form, reducing all fractions. 2y-x=14

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0
Y=x+7 all you have to do is simple algebra and add x to get y by itself and divide 14 by 2
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A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are th
Zolol [24]

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

0.05n+0.25q=2.85    ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

n=q+3   ................(2)

Plug in the value of 'n' from (2) in (1)

0.05(q+3)+0.25q=2.85

= 0.05q+0.15+0.25q=2.85

0.30q=2.70

q=9

As n=q+3 we get, n=9+3=12

Hence, there are 12 nickels and 9 quarters.

3 0
3 years ago
Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is
mario62 [17]
We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
  x^2 + 85 = x^2 - 34x + 289
           -85                       -85
_______________________
      x^2 = x^2 - 34x + 204                    
     +34x         +34x
_______________________
 x^2 + 34x = x^2 + 204
-x^2             -x^2
____________________
       34x = 204
Divide 34 on both sides
      x = 6.
The number is 6.
5 0
3 years ago
If the two terms of a gemotric sequence are a1=216, and a2=72, which is the third term? a3?
Ierofanga [76]
GEOMETRIC \: \: PROGRESSIONS \\ \\ \\\\Let \: the \: G.P. \: be \: \: A \: , \: Ar \: , \: A {r}^{2} \: ... \\ \\ Where \:first \: term \: is \: \: A \: \: \\ and \: common \: ratio \: is \: \: R \\ \\ Let \: An \: denotes \: the \: \: nth \: term \: of \: \\ the \: given \: Geometric \: Progression \: \\ \\ It \: is \: given \: - \\ \\ A1 \: = \: 72 \\ \\ A2 \: = \: 216 \\ \\ Common \: ratio \: = \: \frac{A2}{A1} = \frac{216}{72} \\ \\ R = 3 \\ \\ A \: = \: 72 \\ \\ A3 \: = \: A {r}^{2} = 72 \times 3 \times 3 \\ \\ \\ Hence \: , \: A3 \: = \: 648 \: \: \: \: \: \: \: Ans.
4 0
3 years ago
It is a linear equation but i don't know how to set the equation up , need help​
ryzh [129]

Step-by-step explanation:

x = number of novels

y = number of dictionaries

x = 8y

88x + 208y = 13680

now, using the identity of the first equation in the second equation gives us

88(8y) + 208y = 13680

704y + 208y = 13680

912y = 13680

y = 13680/912 = 15

x = 8y = 8×15 = 120

so, there were 120 novels and 15 dictionaries sold.

7 0
2 years ago
How many integers n leave remainder 4 when divided by 7, if n satisfies the given inequality?
bekas [8.4K]

Consider inequality |-n| This inequality is equivalent to inequality |n|

This means that -46

The greatest integer number n, such that -46 when dividing by 7 gives the remainder 4 is 39. Then subtract 7, you get 32, then 25 and so on.

When n=-39, -32, -25, -18, -11, -4, 4, 11, 18, 25, 32, 39 then dividing by 7 the remainder is 4.

Answer: 12 integers.

4 0
3 years ago
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