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IceJOKER [234]
3 years ago
12

tori uses 1/4 yard of fabric to make a eyeglass case. how many can she make out of 3 yards of fabric? write a division equation.

then solve
Mathematics
1 answer:
professor190 [17]3 years ago
6 0
She can make 12 eye glass cases.

Out of one yard, you can make 4 eye glasses cases since she’s using a quarter of a yard for each.

Let’s say x is the amount of cases.

1/4*x =3

Since 1 yard is equal to 4 cases, (4 quarters make up 1) you would do 4 times 3, which is 12.

1/4*12=3

Hope that helps!!!
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b Step-by-step explanation:

this is super easy

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What is the length of each piece????PLEASE HELP!!!!
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Read 2 more answers
determine the point of intersection of the following pair of lines ............2x-3y-4=-13 and 5x=-2y+25. 3x+2y-7=0 and 2x=12-5y
grandymaker [24]

Answer:

  1. (x, y) = (3, 5)
  2. (x, y) = (1, 2)

Step-by-step explanation:

A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.

__

The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.

There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.

_____

1. In standard form, your equations are ...

  • 2x -3y = -9
  • 5x +2y = 25

Then the solution is ...

  x=\dfrac{-3(25)-(2)(-9)}{-3(5)-(2)(2)}=\dfrac{-57}{-19}=3\\\\y=\dfrac{-9(5)-(25)(2)}{-19}=\dfrac{-95}{-19}=5\\\\(x,y)=(3,5)

__

2. In standard form, your equations are ...

  • 3x +2y = 7
  • 2x +5y = 12

Then the solution is ...

  x=\dfrac{2(12)-5(7)}{2(2)-5(3)}=\dfrac{-11}{-11}=1\\\\y=\dfrac{7(2)-12(3)}{-11}=\dfrac{-22}{-11}=2\\\\(x,y)=(1,2)

_____

<em>Note on Cramer's Rule</em>

The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.

The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.

7 0
3 years ago
Please help and EXPLAIN
creativ13 [48]
Okay, all of these pairs add up to 1 or 100%, except for one pair. I'll convert them all to decimals, so all must add up to 1.

3/8 = 0.375
0.625 + 0.375 = 1

62% = 0.62
0.38 + 0.62 = 1

7/8 = 0.875
0.875 + 0.125 = 1

70% = 0.70
1/3 <span>≈</span> 0.33
0.70 + 0.33 = 1.03

So the last pair of probabilities(70%, 1/3) does not belong with the other three because it does not add up to 1 like the others.
8 0
3 years ago
What is the value of (4-2)^3-3X4
Mazyrski [523]
<h2>Answer:</h2>

3 x^{4}-8=0

<h2>Given: </h2>

(4-2)^{3}-3 x^{4}

<h2>Step-by-step explanation:</h2>

In this problem, we need to find the value of the given expression for which we need to simplify the given expression.

\Rightarrow(4-2)^{3}-3 x^{4}=0

We need to solve the numbers within the parentheses.

\Rightarrow(2)^{3}-3 x^{4}=0

We can bring the constant one side and variables another side.

\Rightarrow 8=3 x^{4}

Taking fourth root for ‘8’ and ‘3’ will give numbers which are very tough to solve further.

Since, we cannot solve the above equation further. The value of the given equation remains,

\therefore 3 x^{4}-8=0

6 0
3 years ago
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