MATHEMATICS HIGH SCHOOL

during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score?

Answers

Answer 1

Answer:

Answer:

40 field goals

Step-by-step explanation:

Represent 2-point with x and 3-point with y;

Given

$x = 3y$

$2x + 3y =90$

Required

Determine x and y

$x = 3y$

$2x + 3y =90$

Substitute 3y for x in $2x + 3y =90$

$2(3y) + 3y = 90$

$6y + 3y = 90$

$9y = 90$

Divide both sides by 9

$y = 10$

Substitute 10 for y in $x = 3y$

$x = 3 * 10$

$x =30$

The number of field goals = x + y

$x + y = 30 + 10$

$x + y = 40$

Hence, the number of field goals is 40

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Suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle.

Answers

The area of the rectangle is A = 12 inches²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be A

Let's use the Pythagorean theorem to find the length of the other side of the rectangle.

Let's call the length of the other side "x".

Using the Pythagorean theorem, we have:

x^2 + 4^2 = 5^2

Simplifying and solving for x, we get:

x^2 + 16 = 25

x^2 = 9

x = 3

So the length of the other side of the rectangle is 3 inches.

To find the area of the rectangle, we multiply the length by the width:

Area of rectangle A = length x width = 4 x 3 = 12 inches²

Hence , the area of the rectangle is 12 square inches

To learn more about area of rectangle click :

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That diagonal will split the rectangle into two triangles, with 5 inches being the hypotenuse of each. If we know that one base is 4 inches, then we can use the Pythagorean theorem to find the length of the other side of the rectangle. Let's call that other side x for now. x^2+4^2=5^2, because of the pythagorean theorum.
$x^(2) +4^(2) = 5^(2)$
$x^(2) +16=25$
$x^(2) =9$
$x=3$
So 3 is the other side of the rectangle, take that times 4 and you'll get 12 in^2.

what is the economic and political system in which the government controls property and the distribution of income? in this system, community ownership replaces private ownership. question 1 options: theocracy monarchy fudamentalism socialism

Answers

Let's look over the meaning of each option:

Theocracy: Theo- means that it is relating to religion. For example, Theology is the study of religion. This is a system where religious leaders control the country, but it is NOT an economic system.

Monarchy: Monarchy is when there is a king, queen, emperor, etc. It is not an economic system either.

Fundamentalism: A political system that strictly abides by a set of fundamentals. Someone who wants a constitution to be the highest form of law is a fundamentalist. However, this is also not an economic system.

Socialism: WINNER WINNER CHICKEN DINNER! Socialism is a system similar to communism where the government controls the economy and there is communal ownership. This is also the only option which is both a political and economic system.

TL;DR: The answer is Socialism.

Simplify 2 over squareroot 5

Answers

Square Root cannot be in the Denominator, therefore:

2 / √5
2 × √5 / √5 × √5
2√5 / 5

Hope this helps!

What is the fraction ten twelves in its simplest form

Answers

You just divide each by one of there common factors (except from 1 and 0)

Eg.10÷2=5

12÷2=6

This would look like:

10/12

Next look for a common divisor that works for both the top (numerator) and bottom (denominator) numbers. Incidentally, think 'Notre Dame' or ND if you cannot remember which is which.

Dividing by 2 works for both numbers, so dividing the '10' and the '12' by 2 gives you a simplified form of 5/6.

And voila! That's your answer!

An education budget went from $800,000 to $900,000. What is the approximate percent increase?

Answers

Answer:

Step-by-step explanation:

The increase would be possibly about by 100,000 dollars, but if you were to take it as a decimal as a millionth, it would go up by 10 percent.

7-3y=y-6(2+1/2y) how do I solve for y

Answers

-3y + 7 = y - 6(¹/₂y + 2)
-3y + 7 = y - 6(¹/₂y) - 6(2)
-3y + 7 = y - 3y - 12
-3y + 7 = -2y - 12
+ 3y + 3y
       7 = y - 12
      + 12     + 12
      19 = y

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