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Vikentia [17]
2 years ago
12

Sue wrote a doubles fact. It has a sum less than 10 and greater than 4. The addends are each less than 5. What fact might she ha

ve written?
Mathematics
1 answer:
Oksana_A [137]2 years ago
3 0
She might have written 3 + 4
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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
The perimeter of another quilt had to be 34 feet because he only had that much binding. If he wanted it to be 8 feet long, what
Mila [183]
72ft
you do 8 times 2 is 16
34-16 is 18 then divide by 2 is 9
9 times 8 is 72
~JZ

7 0
3 years ago
The government published the following stem-and-leaf plot showing the number of sloths at each major zoo in the country: pls ans
Sveta_85 [38]

Answer:

3

Step-by-step explanation:

If 4 | 1 = 41, that means that when you're looking at the number, you basically see it without the "|". If you see it that way, the smallest number would be 03.

5 0
2 years ago
You are attempting to make a scale drawing of your room. The actual size of your room is 12 feet
olga2289 [7]

Answer:

width = 8 inches

length = 10 inches

Step-by-step explanation:

width= 12/1.5

= 8

length = 15/1.5

= 10

6 0
3 years ago
the area of a triangle is given by the base x the height and then ÷ 2 write an expression for the area of a triangle with a base
harkovskaia [24]

Answer:

Step-by-step explanation:

8 0
3 years ago
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