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lisov135 [29]
2 years ago
12

A jar can hold of a pound of flour. Austin empties of a pound of flour into the jar. What fraction of the jar is filled? Enter y

our answer in numerical form.
Mathematics
1 answer:
11111nata11111 [884]2 years ago
4 0

Answer:

<em>2/3 of the jar was filled with flour</em>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>

<em />

Given

<em>Amount a jar can hold a = 3/4 of a pound of flour</em>

<em />

<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>

<em />

<em>Fraction of jar filled will be expressed as b/a as shown;</em>

<em>b/a = (1/2)/(3/4)</em>

<em>b/a = 1/2 ÷ 3/4</em>

<em>b/a = 1/2 * 4/3</em>

<em>b/a = 4/6</em>

<em>Simplify to the lowest term</em>

<em>a/b = 2*2/2*3</em>

<em>a/b = 2/3</em>

<em />

<em>Hence 2/3 of the jar was filled with flour</em>

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Replace all values of x as 4

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Step-by-step explanation:

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If 7m = 35, then 7m + 4 = 35 + 4<br> NAME THE PROPERTY
Reptile [31]

The property that is applied in 7m+4=35+4 is addition property of equality

Given :

If \; 7m=35, then \; 7m+4=35+4

From the above equation we can see that 4 is added at the both sides of the equation .

we can add same number at the both sides of the equation to balance the equation . That is called as addition property of equality

Here , 4 is added on both sides of the equality to balance the equation .

So , addition property of equality is applied .

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6 0
3 years ago
Need the (x) &amp; (y) value
Katen [24]

Answer:

x=0

y=6

Step-by-step explanation:

Two equations with two unknowns can be solved. Use the three steps given below.

In general you can save time if you use the simplest expression for step 1. You can choose either expression to start with x =.. or you can rewrite it, so it starts with y =...

FOLLOW THESE STEPS:

1. Rewrite the first expression so it starts with y =...

2. Then use that expression and substitute it in the other expression, to find the value for x.

3. Use that value found in step 2. and substitute it in the rewritten expssion you created in step 1. Solve this last expression and you'll get the value for y.

Step 1.

-6y + 11x = -36

-6y = -11x -36

multiply left and right of the = sign by -1

6y = 11x + 36

divide left and right of the = sign by 6

y = 11x/6 + 36/6

y = 11/6x + 6

Step 2.

-4 * ( y ) + 7x = -24

-4 * ( 11/6x + 6 ) + 7x = -24

( -44/6x - 24 ) + 7x = -24

-44/6x + 7x = -24 + 24

You can see immediately that ...x = 0

Just for fun of it ....

-44/6x + 42/6x = 24 - 24

(-44+42)/6x = 0

-2/6x = 0

-1/3x = 0

multiply left and right of the = sign by -3

3/3x = 0 * -3

x = 0

Step 3.

y = 11/6( x ) + 6. and substitute x = 0 gives:

y = 11/6( 0) + 6

y = 0 + 6

y = 6

3 0
2 years ago
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Sergio [31]

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

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= 54 – (1*6*1.5)

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Hence, option B is correct

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