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Leona [35]
3 years ago
10

What is m in 4/5m=2/9 is it 5/18

Mathematics
1 answer:
Romashka [77]3 years ago
8 0
\frac{4}{5} m =  \frac{2}{9} \\ \\  \frac{4m}{5} =  \frac{2}{9} \\ \\ 4m =  \frac{2}{9} \times 5 \\ \\ 4m =  \frac{10}{9} \\ \\ m =  \frac{10}{9 \times 4} \\ \\ m =  \frac{10}{36} \\ \\ m =  \frac{5}{18} \\ \\

The final result is: m = 5/18 or 0.2778.
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At a bake sale there were 90 items sold total. If 42 of the items sold were cookies and the rest were brownies what is the ratio
kari74 [83]
Firstly, you do 90 - 42 to get the amount of brownies sold, which is 48. Then, you put 42 and 48 into a ratio like 42:48. After that, all you need to do is simplify to get 7:8.
5 0
3 years ago
Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar i
Phoenix [80]

Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar is 78

Answer: Number of coins in a jar is from a discrete data set. Because the given variable is countable in a finite amount of time.

If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.


3 0
3 years ago
Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A
FrozenT [24]

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

4 0
3 years ago
Write the equation of the parabola in vertex form.<br><br><br>Vertex: (−4,6); Point: (−2,−2)
gtnhenbr [62]

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form

5 0
3 years ago
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