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Delicious77 [7]
2 years ago
12

Consider this equation. 7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8) Mia solved the equation and determined that m=2. Is she correct?

Mathematics
1 answer:
IgorC [24]2 years ago
8 0

Answer:

B) She is incorrect because when substituting 2 for m the result was a false statement.

Step-by-step explanation:

Let's solve it for ourselves and see if Mia is correct:

7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8)

7.8+1.5m+0.8=-6.4m+2m-3.2

1.5m+8.6=-4.4m-3.2

8.6=-5.9m-3.2

11.8=-5.9m

-2=m

m=-2

Since the answer is actually m=-2, Mia's guess is incorrect because plugging in m=2 does not make both sides equal. Therefore B is the correct option.

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2 years ago
Determine if
Gnesinka [82]

The values of a and b are 1/4 and 1/5 respectively

<h3>How to determine the true statement?</h3>

The function is given as:

16x^2 - 25y^2 = 1

The above function is a horizontal hyperbola.

A horizontal hyperbola that passes through the origin is represented as:

\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1

Rewrite 16x^2 - 25y^2 = 1 as

\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1

By comparison, we have:

a^2 = \frac{1}{16}

b^2 = \frac{1}{25}

Solve for  a and b

a = \frac{1}{4}

b = \frac{1}{5}

Hence, the values of a and b are 1/4 and 1/5 respectively

Read more about hyperbola at:

brainly.com/question/27799190

#SPJ1

7 0
2 years ago
How to do this question
blsea [12.9K]
This is a 3 step problem. First you ignore the hole in the middle and find the volume anyways. Then you find the volume of the empty middle part. Then you can find the volume of the actual shape by subtracting them. 
area of a circle is= pi r^2
Volume with hole: 5*5*pi*8=200pi
Volume of hole= 1.5*1.5*pi*8= 18pi
Volume of doughnut = 200pi-18pi=182pi=571.769863u^3

r is the radius which is half of the diameter. 
pi is a big number but you can use 3.14
the formula for finding the volume is area of base times height. That's why i multiplied it by 8.]

I hope this helps
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Answer:

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Step-by-step explanation:

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