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Aleks [24]
3 years ago
14

Which is Bigger?

Mathematics
1 answer:
igomit [66]3 years ago
3 0
A)
43\%=\frac{43}{100} \\ \\
\frac{24}{60}=\frac{4}{10}=\frac{40}{100} \\ \\
43>40 \Rightarrow \frac{43}{100} > \frac{40}{100} \Rightarrow 43\% > \frac{24}{60}

43% is bigger.

b)
\frac{18}{30}=\frac{6}{10}=\frac{60}{100} \\ \\
0.51=\frac{51}{100} \\ \\
60>51 \Rightarrow \frac{60}{100} > \frac{51}{100} \Rightarrow \frac{18}{30} >0.51

18/30 is bigger.
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7 dosent go into 4 at all but 4 goes into 7 once
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3 years ago
Show your work:<br><br> Express 160 pounds (lbs) in kilograms (kg). Round to the nearest hundredths.
andrew-mc [135]

Answer:

160 lbs = 72.57kg

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each lb has 0.45kg. How many kg are there in 160lbs. So:

1lb - 0.45kg

160 lbs - xkg

x = 0.45*160

x = 72.57 kg

160 lbs = 72.57kg

4 0
3 years ago
Solve the following word problem.
gayaneshka [121]

Answer:

10$ per hour

Step-by-step explanation:

if she spended 120$ and had 180$ left, that means she had 300$ in the first place. of she works 30 hours, that means:

300 (the money she has)

÷ 30 ( her work hours )

When we divide this, the answer is ten. that is why she earns 10$ per hour

8 0
3 years ago
For which value of c will the equation 6y−8=c+6y have an infinite number of solutions?
katen-ka-za [31]

Answer:

<h2>-8</h2>

Step-by-step explanation:

6y - 8 = c + 6y        <em>subtract 6y from both sides</em>

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-8 = c

The equation has an infinite many solutions if when we get a true equation with no variable y.

Therefore c = -8

6 0
3 years ago
Solve the equation:<br> (x – 4)(x – 3) = 0<br> Show your work and check your work.
Anna11 [10]

Answer:

Step-by-step explanation:

The given equation is

(x – 4)(x – 3) = 0

We would open the parenthesis by multiplying each term in the first parenthesis by each term in the second parentheses. It becomes

x^2 - 3x - 4x + 12 = 0

x^2 - 7x + 12

We would apply the method of factorization by looking for two numbers such that, when they are added or subtracted, the result would be -7x and when they are multiplied, the result would be 12x^2. The two numbers are -3x and - 4x. Therefore

x^2 -3x - 4x + 12 = 0

x(x - 3) - 4(x - 3) = 0

(x - 3)(x - 4) = 0

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So let us check

if x = 3,

(3 – 4)(3 – 3) = 0

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If x = 4

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5 0
3 years ago
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