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MariettaO [177]
3 years ago
15

17 is what percent of 68?

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
\frac{17}{68} \times 100\%=\frac{1 \times 17}{4 \times 17} \times 100\%=\frac{1}{4} \times 100\%=\frac{100}{4} \%=25\%

17 is 25% of 68.
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The prime factorization of 441 is
OLga [1]

441 is odd, so we can't divide it by 2.

Since the sum of its digits is 4+4+1=9, which is divisible by 3, we can divide 441 by 3, and we have

441\div 3=147

Which is still divisible by 3, because 1+4+7=12. We have

147\div 3=49

49 is not divisible by 3 anymore, nor by 5 (it doesn't end with 0 or 5).

It is divisible by 7 though, we have

49\div 7=7

and finally,

7\div 7=1

So, the factorization of 441 is

441=3^2\times 7^2

8 0
3 years ago
Read 2 more answers
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
scoray [572]

9514 1404 393

Answer:

  • 7 forks
  • 20 spoons

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

  1.70x + 1.30y = 37.90

The revenue from sales is ...

  5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

<em>Additional working out</em>

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

  ax +by +c = 0

  dx +ey +g = 0

is ...

  1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

  1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

  = y/(-37.90·5.60-(-147.20·1.70))

  1/1.9 = x/13.3 = y/38

  x = 13.3/1.9 = 7 . . . number of forks

  y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

  • a b c a
  • d e g d

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

8 0
2 years ago
What is the slope of a line that contains the points (12,17) and (-8,-17)
professor190 [17]
\frac{y2 - y1}{x2 - x1}
\frac{ - 17 - 17}{ - 8 - 12} = \frac{ - 34}{ - 20} = \frac{17}{10}
Alternative forms:
1 \frac{7}{10} \: or \: 1.7
Slope: 17/10
Equation : y= 17/10x
6 0
3 years ago
Please help Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation, then find the domain. (F-g)(x)
Vesna [10]
F(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2

The answer is D.
4 0
3 years ago
Brent is saving for a computer that is $840. He will also need to pay a 6% sales tax. What is the total cost of the computer aft
Kobotan [32]

Answer:

$890.4

Step-by-step explanation:

840 + .06(840)

840 + 50.4

890.4

5 0
3 years ago
Read 2 more answers
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