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Delicious77 [7]
2 years ago
5

While unpacking a box of canned vegetables, you notice that 3 out of 30 cans are dented. Select all the ways you can write “3 ou

t of 30.
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
3 0

Answer:

Step-by-step explanation:

3/10 + infinite number of fractions.

30%

0.3

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789/548x-89/887=688/8724 find x
Olin [163]

\frac{789}{548}x- \frac{89}{887}=\frac{688}{8724}

first we try to semplify as much as possible the fractions.

First we decompose the numbers

789 = 3 * 263

548 = 2 * 2 * 137 = 2^2

they have nothing in common, so the first fraction remains so

89 = 89 (prime number)

887 = 887 (prime number)

they have nothing in common, so the second one remains so

688 = 2 * 2 * 2 * 2 * 43 = 2^4 * 43

8724 = 2 * 2 * 3 * 727 = 2^2 * 3 * 727

they have 2^2 (=4) in common, so the numerator and the denominator can be devided by 4

\frac{688}{8724}= \frac{688:4}{8724:4}=\frac{172}{2181}

so:

\frac{789}{548}x- \frac{89}{887}=\frac{172}{2181}

now we calculate the common denominator

take the scomposition:

548 = 2^2 * 137

887 = 887

2181 = 3 * 727

take every number one time

so the common denominator is 2^2 * 137 * 887 * 727 * 3 = 1'060'131'756

now calculate every single numerator: first we divide each denominator by the common denominator, then we moltiply the result with each numerator

first fraction: 789/548

1060131756 / 548 = 1934547

1934547 * 789 = 1526357583

second fraction: 89/887

1060131756 / 887 = 1195188

1195188 * 89 = 106371732

third one: 172/2181

1060131756 / 2181 = 486076

486076 * 172 = 83605072

now we can delete the common denominator

1526357583x - 106371732 = 83605072

solve it

1526357583x = 83605072 + 106371732

1526357583x = 189976804

x = 1526357583 / 189976804

decompose

1526357583 = 887 * 3 * 3 * 727 * 263

189976804 = 137 * 2 * 2 * 211 * 53 * 31

nothing in common

x = 1526357583 / 189976804

8 0
3 years ago
20% of Aussies have blue
notsponge [240]

Answer:

20

Step-by-step explanation:

Step 1: 4 = 20% × Y

Step 2: 4 = 20/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

Step 3: Y = 4 × 100/20

Step 4:Y = 4 × 100 ÷ 20

Step 5: Y = 20

6 0
3 years ago
Is the function below below linear or non-linear y=-8x^2+9
Mariulka [41]
Nonlinear. it is a quadratic equation therefore yields a parabola
5 0
3 years ago
Read 2 more answers
Simplify the expression:<br> 8+9–1+2a
eimsori [14]

Answer:

Answer: =2a + 16

Step-by-step explanation:

8+9−1+2a  =8+9+−1+2a

now its time to to do CLT  

=8+9+−1+2a

=(2a)+(8+9+−1)

=2a+16

4 0
3 years ago
Read 2 more answers
Factor the quadratic.<br><br> 2x^2+5x-12
Sav [38]
2
2x
​2
​​ +5x−12
1 Split the second term in
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x
2
+
5
x
−
1
2
2x
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​​ +5x−12 into two terms.
2
x
2
+
8
x
−
3
x
−
1
2
2x
​2
​​ +8x−3x−12

2 Factor out common terms in the first two terms, then in the last two terms.
2
x
(
x
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4
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−
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(
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2x(x+4)−3(x+4)

3 Factor out the common term
x
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x+4.
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(x+4)(2x−3)
8 0
3 years ago
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