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Akimi4 [234]
3 years ago
14

Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 0.5 minute?

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

6 times

Step-by-step explanation:

28claps =12seconds

? = 0.5minutes

60seconds=1minute

? =0.5 minutes

(cross multiply)

60*0.5/1 = ?

?=30seconds

28claps = 12secs

? =30secs

28*30/12 =?

?=70claps

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The ratio table below shows the number of eggs per omelet.
docker41 [41]

The answer if 4. The number of eggs to omlets is linear meaning they all change in a pattern. The number of eggs are doubeling while the number of omlets are going up by one. So the answer would be 4

3 0
3 years ago
Read 2 more answers
Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.
Slav-nsk [51]

Answer:

<h2>2</h2>

Step-by-step explanation:

Given g(x)=5x-4 and g(x)=f^{-1}(x)-3

Substituting g(x) =  5x-4 into the second equation we have;

5x-4 =  f^{-1}(x)-3

f^{-1}(x) = 5x-4+3

f^{-1}(x) = 5x-1

To get f(x), let us first make y to be equal  f^{-1}(x)

y = 5x-1

expressing x in terms of y to get f(x), we have;

5x = y+1

x = y/5+1/5

replacing y with x, we will have;

y = x/5 + 1/5

F(x) = x/5 + 1/5

Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5

5a + 5b = 5(1/5)+ 5(1/5)

5a+5b = 1+1

5a+5b = 2

8 0
3 years ago
5x2 +14x = 3<br> How do you complete the square
katovenus [111]
If I’m correct negative one half
5 0
3 years ago
Can anyone help me with this question
faust18 [17]

Answer:

Step-by-step explanation:

Like your other question, let's break it down systematically

6x + 9y - 9(6x - 3y + 8z)

Use the distributive property

6x + 9y - <u>9(6x - 3y + 8z)</u>

6x + 9y - 54x - 27y + 72z

Match like terms

6x - 54x = -48x

9y - 27y = -18y

72z - 48x - 18y

6 0
3 years ago
What is the measure of ZC?
Studentka2010 [4]

Answer:

55°

Step-by-step explanation:

m\angle C =  \frac{1}{2} (184 \degree - 74 \degree) \\  \\  \implies \: m\angle C =  \frac{1}{2} (110 \degree) \\  \\  \implies \: m\angle C =  55 \degree

8 0
2 years ago
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