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padilas [110]
3 years ago
11

Gwen plants two fifths of her garden in potatoes and one sixty of her garden in carrots. What fraction of the garden remains for

her other crops?
Mathematics
1 answer:
Flura [38]3 years ago
6 0

Answer:

5/12

Step-by-step explanation:

You have 2/5 + 1/60.  Find the common denominator which is 60.  

24/60 + 1/60 = 25/60.  Reduces to 5/12

You might be interested in
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
Poem about relation in math​
ExtremeBDS [4]

Answer:

in math what type of poem???

3 0
2 years ago
A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

<em>Let's plug the points and get the equation of the line:</em>

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2

4 0
3 years ago
Read 2 more answers
What is 49% of 849 ?
Sholpan [36]

Answer:

416.01

Step-by-step explanation:

49% is the same as 0.49

0.49 × 849 is 416.01

6 0
2 years ago
Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature
grandymaker [24]

Answer:

B.) 132.56 degrees

Step-by-step explanation:

8 0
2 years ago
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