MATHEMATICS MIDDLE SCHOOL

Matthew scored a total of 168 points in basketball this season. He scored 147 of those in the regular season, and and the rest were scored in his only playoff game. What percent of his total points did he score in the playoff game?

Answers

Answer 1

Answer:

Answer:

Matthew scored 12.5% of his points in the playoff game.

Step-by-step explanation:

1. First write the total points that Matthew scored in basketball this season:

Total points = Points in regular season + Points in only playoff game (Eq.1)

Total points = 168

2. Then find the points he scorred in his only playoff game.

As he scored 147 points in the regular season, the points scored in his only playoff game will be found using the Eq. 1:

Points in regular season = 147

Total points = Points in regular season + Points in only playoff game (Eq.1)

168 = 147 + Points in only playoff game

Solving for Points in only playoff game:

Points in only playoff game = 168 - 147

Points in only playoff game = 21

Therefore Matthew scored 21 points in the playoff game.

3. Find the percent of the total points Matthew scored in the playoff game:

$Percent=(Pointsintheplayoffgame)/(Totalpoints)$

$(21)/(168)*100=12.5%$

Answer 2

Answer: To find the percent we do:
168-147=21 points scored in the playoff
21/168=0.125
0.125*100=12.5%
The percentage is 12.5%.

x = -2 or x = 2

Step-by-step explanation:

$x^2-4=0\qquad\text{add 4 to both sides}\n\nx^2-4+4=0+4\n\nx^2=4\to x=\pm\sqrt4\n\nx=-2\ \vee\ x=2$

If the pet store had 10 more birds the number of dogs would be double the number of birds what numbers should be on the scale

Answers

The number of birds that should be on the scale is 20 birds

Let the number of birds be x

Let the number of dogs be y

Given the following parameters

Number of birds in the pet store = 10 birds

If the number of dogs would be double the number of birds, then;

y = 2x

y = 2(10)

y = 20

Hence the number of birds that should be on the scale is 20 birds

Learn more here: brainly.com/question/11909547

If there were 10 dogs then there would be 20 birds

Joan walked 23 1/4 miles in a week. Her sister walked 69 3/4 miles during the same week. How many times farther did Joan’s sister walk than Joan?

Answers

joans sister walked 3 times farther.

23 1/4 * 3 = 69 3/4

joans sister walked 3 times farther.

The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees. Find the distance to the boat.not sure how to solve this..

Answers

Answer:

As per the statement:

The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.

We draw the figure for this problem as shown below:

Height of the lighthouse(BC) = 100 foot

Angle of depression = 20 degrees.

Since, angle of depression is equal to the angles of elevation

i.e, $\angle DCA = \angle CAB = 20^(\circ)$

using tangent ratio:

$\tan \theta = \frac{\text{opposite side}}{\text{adjacent side}}$

Here,

Opposite side = BC = 100 foot

Adjacent side = AB

Angle of elevation: $\theta = 20^(\circ)$

Substitute these to solve for AB:

$\tan 20^(\circ) = \frac{100}{\text{AB}}$

$\text{AB} =(100)/(\tan 20^(\circ))$

$\text{AB} =(100)/(0.36397023426)$

Simplify:

AB = 294.375362123 foot

Therefore, the distance to the boat approximately is 294.4 foot

Final answer:

By using the tangent function with the given height of the lighthouse and the angle of depression, we can solve for the distance to the boat, which is approximately 274.1 feet.

Explanation:

In this scenario, we can use trigonometry to find the distance to the boat. Since we know that the lighthouse is 100 feet high and the angle of depression is 20 degrees, this fits the scenario for a tangent function, where tangent of an angle equals the opposite side divided by the adjacent side.

Setting up our function, we get tan(20) = 100/ distance to the boat. Since we want to find the distance to the boat, we can rearrange the equation to be distance to the boat = 100 / tan(20).

Doing this calculation, we find that the distance to the boat is approximately 274.1 feet.

Learn more about Trigonometry here:

brainly.com/question/11016599

#SPJ3

Math question will give brainliest for the right answer

Answers

Answer:

53 sweets.

Step-by-step explanation:

The mean out of 10 bags of sweets is 42. That means that all the numbers of sweets added up would be 420.

39 + 40(2) + 41(5) + 43 + x = 420

39 + 80 + 205 + 43 + x = 420

367 + x = 420

x = 53.

So, in the 10th bag, there are 53 sweets and a sugar high for whoever eats that many sweets.

Hope this helps!

Answer:

X=53 sweets

Step-by-step explanation:

Here goes problem 4 i need help

Answers

The only tricky thing about this problem is that you have to know
the formula for the area of a triangle. The formula is

   Area of a triangle = (1/2) times (length of the base) times (the height) .

In this picture, 'x' is the base, and 'h' is the height. That's all you need
in order to find the area. You don't need to know 'y' or 'z' at all.

   Area = (1/2) x (base) x (height)

   = (1/2) x (13) x (6)

   = (1/2) x ( 78 ) = 39 inches²

multiply 13*6=78 then multiply with .5 (78*.5=39)

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