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3 years ago

Using the digits 0 to 9 at most one Time each,fill in the boxes below to write equations whose solution is 1/2

Mathematics

1 answer:

andrezito [222]3 years ago

8 0

Answer:

The equation is 4x + 5 = 2x + 6

Step-by-step explanation:

The solution is $\frac{1}{2}$ means x = $\frac{1}{2}$

Let us put the coefficient of x in the left hand side = 4 and the coefficient of x in the right hand side = 2

∵ 4x - 2x = 2x

Now we need two numerical terms their difference is 1 like 5 and 6 or 6 and 7 or 7 and 8 or 8 and 9

Let us take 5 and 6

∵ 4x + 5 = 2x + 6

- Subtract 2x from both sides

∴ 2x + 5 = 6

- Subtract 5 from both sides

∴ 2x = 1

- Divide both sides by 2

∴ x = $\frac{1}{2}$

∴ The solution is $\frac{1}{2}$

The equation is 4x + 5 = 2x + 6

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Well, I have to write 20 words, so... I think this is enough.

Varvara68 [4.7K]

<h3>Answer: Choice D</h3><h3>m = n</h3><h3>b = sqrt(pi)*a</h3>

=====================================================

Explanation:

Each circle has a radius of 'a'. So r = a.

The area of each circle is pi*r^2 = pi*a^2

The area of each square with side length b is b^2

The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.

Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a

The stacks must also be the same height for the volumes to be the same, so m = n as well.

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3 years ago

Suppose you are determining the growth rate of two species of plants. Species A ls 25 cm tall and grows 3 cm per month. Species

exis [7]

Answer: Last Option

$H (m) = 25 + 3m\\H (m) = 10 + 8m$

Step-by-step explanation:

The initial height of the plant of species A is 25 cm and grows 3 centimeters per month.

If m represents the number of months elapsed then the equation for the height of the plant of species A is:

$H (m) = 25 + 3m$

For species B the initial height is 10 cm and it grows 8 cm each month

If m represents the number of months elapsed then the equation for the height of the plant of species B is:

$H (m) = 10 + 8m$

Finally, the system of equations is:

$H (m) = 25 + 3m\\H (m) = 10 + 8m$

The answer is the last option

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3 years ago

What is the equation of the line that passes through (-2,2) and (1,-4)?

adelina 88 [10]

Answer:

y=-2x-2

Step-by-step explanation:

Slope: -4-2/1-(-2)=-6/3=-2

Equation: y=-2x+b

Substitute: 2=-2(-2)+b

2=4+b

b=-2

Therefore, y=-2x-2

I hope this helped and have a good rest of your day!

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3 years ago

On Saturday, many tickets for a hockey game were sold. Children and adult tickets were sold in the ratio of 4:7. There are 88 ti

Illusion [34]

Answer:

49 tickets

Step-by-step explanation:

THis is pretty straight forward

So we have the ratio 4:7

We know there were 88 tickets in total but we don’t know the exact amount of adult and kids

So we can Add up the ratio

4+7=11

Now we can divide 88 by 11

you’ll get 7

So by doing this we know there are 7 groups of the ratio for child to adults 4:7

So we just multiply the 7 to each

4*7

7*7

you’ll get 28:49

Now we know there are 28 kid tickets and 49 adult tickets

We know this is correct becuase if you add up the ratio, it’ll be 88

Which is the same as the amount fo people at the hockey game

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3 years ago

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Your answer is d
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3 years ago

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