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trapecia [35]
3 years ago
10

eric practiced piano and guitar for a total of 8 hours this week . He practiced the piano 1/4 of that time. How many hours did e

ric practice the piano this week?
Mathematics
2 answers:
Setler [38]3 years ago
7 0

Answer:2


Step-by-step explanation:Total 8 2 times 1 two by two 4three 6 four 8


Ulleksa [173]3 years ago
5 0

Answer:  Eric practiced piano for 2 hours this week.

Step-by-step explanation:  Given that Eric practiced piano and guitar for a total of 8 hours this week . He practiced the piano \dfrac{1}{4} of that time.

We are to find the number of hours that Eric practiced the piano this week.

Let, 'h' represents the number of hours that Eric practiced piano this week.

Then, according to the given information, we have

h=\dfrac{1}{4}\times\textup{total number of hours Eric practiced piano and guitar}\\\\\\\Rightarrow h=\dfrac{1}{4}\times 8\\\\\\\Rightarrow h=2~\textup{hours}.

Thus, Eric practiced piano for 2 hours this week.

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Can two fractions with the same numerator and different denominators can be equal.
mel-nik [20]

Nope!

They cannot be equal if they have the same numerator but different denominators. they need to be able to reduce into the same number

8 0
3 years ago
How would you solve this by elimination?
jekas [21]
To solve this equation by elimination, what you would do is multiply one of the equations by -1, or distribute -1 to each term in the equation, any of the 2 equations. Then align the equations and add them together.

-(X + 3y = 3)
-X - 3y = -3

-X - 3y = -3
X + 6y = 3
__________
3y = 0
y = 0/3 = 0.

Now we can solve for x, by simply plugging the value of y into any of the 2 equations.

X + 6y = 3
X + 6(0) = 3
X + 0 = 3
X = 3.

The solution to your system of equations would be (3,0).

Check this by plugging in the point to the other equation and see if it is true.

X + 3y = 3
(3) + 3(0) = 3
3 + 0 = 3
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Thus it is the solution.
5 0
3 years ago
Together, Bobs shoes weigh about 1 kilograms. Each shoe weighsabout how many grams.
kolbaska11 [484]
Divide 1 kilogram by how much shoes are there.
8 0
3 years ago
Read 2 more answers
So the polynomial 24r squared represents the surface are of a cube a : determine the polynomial that represents the area of one
Naddika [18.5K]

Answer:

a. 4r² b. 2r c. 6 cm

Step-by-step explanation:

The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.

Now, equating both expressions, 6L² = 24r²

dividing both sides by 6, we have

6L²/6 = 24r²/6

L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².

b.  Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have

√L² = √4r²

L = 2r

So, the polynomial that represents the length of an edge of the cube is L = 2r

c. The length of an edge of the cube is L = 2r. When r = 3 cm.

L = 2r = 2 × 3 cm = 6 cm

So, the length of an edge of the cube is 6 cm.

5 0
3 years ago
Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

(-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)

(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

3 0
3 years ago
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