Angela practiced piano during the weekend for 6 hours.
According to the question,
Amount Angela spent on Saturday = [tex]2\frac{1}{3}[/tex]
Amount Angela spent on Sunday = [tex]3\frac{2}{3}[/tex]
To find out the total amount spent on both days of the weekend =
The amount that Angela spent on Saturday + the amount that Angela spent on Sunday
= [tex]2\frac{1}{3}[/tex] (otherwise expressed as 7/3) + [tex]3\frac{2}{3}[/tex] (otherwise expressed as 11/3)
[tex]= \frac{7}{3} + \frac{11}{3}[/tex]
[tex]= \frac{7 + 11}{3}[/tex] ( using addition)
= [tex]\frac{18}{3}[/tex] = 6 hours
Noted, Friday’s value was not added because it didn’t fall on the weekend.
The denominators of both fractions are the alike (3), thereby it was used to factor out the numerators (7) and (11), and subsequently arrive at the final answer which is 6 hours.
So, Angela practiced for 6 hours.
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In 2010, the population of a city was 93,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer:
I think its 8
Step-by-step explanation:
Because from 2010 to 2015 population grew by 8•/• that mean 8 people per 100
What property of a regular hexagon makes this construction correct?
Step 1
: Draw a circle. Mark a point on it. Set the compass to the length of the radius.
Step 2
: Starting from the point on the circle, draw an arc that intersects the circle and mark the point of intersection.
Step 3
: From that point of intersection, draw another arc that intersects the circle.
Step 4
: Repeat until you have made 6 arcs.
Step 5
: Connect the 6
points to form a regular hexagon.
Answer:
the compass was used to locate all 6 vertices
What is the vertex form of Y X² 8x 3?.
The vertex form of the quadratic function is f(x) = x² + 8x + 3 is (x + 4)² = y +13.
The term Vertex form of a quadratic equation refers as
=> (x - h)² = 4a (y - k) form or in another written as,
=> (y - k)² = 4a (x - h) form depending on whether the square is on x-term or y-term respectively.
Here we have given quadratic function is that is written f(x) = x² + 8x + 3
And in the given equation square term is for x.
As we all know that equation must be reduced to (x - h)² = 4a (y - k) form.
Then here we know that we have
=> y = f(x) = x² + 8x + 3
Now we have to completing the square,
=> y = (x² + 8x +16) -16 + 3
Then it can be written by using the factorize the expression
=> y = (x + 4)² -13
Now we have to rewrite the expression, then we get,
=> y + 13 = (x + 4)²
Then resulting vertex form of the expression as,
=> (x + 4)² = y +13
Complete Question:
What is the vertex form of f(x) = x² + 8x + 3?
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