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3 years ago

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Melissa made a total of 14 baskets during her last basketball game. She made a number of 2-point baskets and a number of 3-point

baskets for a total of 33 points. Using matrices to solve, how many 3-point baskets did Melissa make in her last basketball game?

2 answers:

erica [24]3 years ago

8 0

Answer:

5

Step-by-step explanation:

edge2020

OLga [1]3 years ago

5 0

Answer:

Melissa made 11 3 point baskets in her last basket ball game.

Step-by-step explanation:

because three multiplied by ten equals thirty so therefore if you multiply three by 11 you get thirty three points

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Estimate the sum or difference.

dangina [55]

1) $\frac{4}{6}+\frac{1}{8}=\frac{19}{24}$

2) $\frac{2}{6}+\frac{7}{8}=\frac{29}{24}$

3) $\frac{5}{6}-\frac{3}{8}=\frac{11}{24}$

4) $\frac{4}{6}+\frac{3}{8}=\frac{25}{24}$

5) $\frac{7}{8}-\frac{5}{6}=\frac{1}{24}$

6) $\frac{1}{6}+\frac{7}{8}=\frac{25}{24}$

Step-by-step explanation:

In order to calculate the sum of two fractions, we first have to find the lowest common denominator of the two fractions, then multiply the numerator of each fraction by the ratio between the lowest common denominator and the original denominator, and then add/subtract the two new numerators.

1)

$\frac{4}{6}+\frac{1}{8}=$

Here the lowest common denominator between 6 and 8 is 24,

So we have to rewrite each fraction as having denominator 24: this means that we have to multiply both numerator and denominator of the 1st fraction by 4 (because 24/6=4), and both numerator and denominator of the 2nd fraction by 3 (because 24/8=3).

So the new numerators of the two fractions are:

$4\cdot 4 = 16\\1\cdot 3 = 3$

The expression then becomes:

$\frac{4}{6}+\frac{1}{8}=\frac{16}{24}+\frac{3}{24}=\frac{16+3}{24}=\frac{19}{24}$

2)

$\frac{2}{6}+\frac{7}{8}=$

Here the lowest common denominator between 6 and 8 is again 24,

so we have again to multiply both numerator and denominator of the 1st fraction by 4, and both numerator and denominator of the 2nd fraction by 3.

So the new numerators of the two fractions are:

$2\cdot 4 = 8\\7\cdot 3 = 21$

And we get:

$\frac{2}{6}+\frac{7}{8}=\frac{8}{24}+\frac{21}{24}=\frac{8+21}{24}=\frac{29}{24}$

3)

$\frac{5}{6}-\frac{3}{8}$

The denominators are the same, so the lowest common denominator is always 24. So we can adopt the same procedure, and new numerators are:

$5\cdot 4 = 20\\3\cdot 3 = 9$

And so:

$\frac{5}{6}-\frac{3}{8}=\frac{20}{24}-\frac{9}{24}=\frac{20-9}{24}=\frac{11}{24}$

4)

$\frac{4}{6}+\frac{3}{8}=$

Using the same lowest common denominator, 24, the new numerators are:

$4\cdot 4 = 16\\3\cdot 3 = 9$

And so we can rewrite the expression as

$\frac{4}{6}+\frac{3}{8}=\frac{16}{24}+\frac{9}{24}=\frac{16+9}{24}=\frac{25}{24}$

5)

$\frac{7}{8}-\frac{5}{6}=$

Again, the lowest common denominator is 24. This time the denominator of the 1st fraction is 8 while the denominator of the 2nd fraction is 6, so we have to multiply the numerator of the 1st fraction by 3 and the numerator of the 2nd fraction by 4.

We get:

$7\cdot 3 = 21\\5\cdot 4 = 20$

So the expression will be rewritten as:

$\frac{7}{8}-\frac{5}{6}=\frac{21}{24}-\frac{20}{24}=\frac{21-20}{24}=\frac{1}{24}$

6)

$\frac{1}{6}+\frac{7}{8}=$

Here the situation is similar to the first 4 exercises: using 24 as lowest common denominator, the numerators become

$1\cdot 4 = 4\\7\cdot 3 = 21$

So the expression becomes

$\frac{1}{6}+\frac{7}{8}=\frac{4}{24}+\frac{21}{24}=\frac{4+21}{24}=\frac{25}{24}$

Learn more about fractions:

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#LearnwithBrainly

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3 years ago

What is the answer and why is it true?

pashok25 [27]

Answer:

1.5 lbs b/c 2 block equal 3 vs 3 blocks equal 3

Step-by-step explanation:

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3 years ago

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A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It is filled with 5 meters of ho

iren [92.7K]

Answer:

The work required to empty the tank is 1,580,887 J

Step-by-step explanation:

Work = mass of chocolate × acceleration due to gravity × height of chocolate

Volume of tank (cone) = 1/3πr^2h = 1/3 × 3.142 × 2^2 × 7 = 29.33 m^3

Mass of hot chocolate = density of hot chocolate × volume of cone = 1100 kg/m^3 × 29.33 m^3 = 32,263 kg

height of chocolate = 5 m

Work = 32,263×9.8×5 = 1,580,887 J

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3 years ago

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What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x - 7)?

diamong [38]

Answer: B) shifts the line 7 units right.

Step-by-step explanation: When the a number is either added or subtracted on the <em>inside </em>(will be surrounded by parentheses if it is on the inside) the parent function is moved right and left. Since it is inside parentheses, though, everything that happens will be the opposite of what it shows. Even though it says -7, and you would assume it shifts left, it doesn't. It actually goes to the right.

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3 years ago

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How to find vertex form

Nikolay [14]

Y = x^2 - 6x + 7
a = 1
b = -6
c = 7

Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a}

Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3

Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...

3^2 = 9
-6 * 3 = -18
+7

9 - 18 + 7
A.O.S (or y) = -2

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3 years ago