MATHEMATICS HIGH SCHOOL

Solve for x. (Round to the nearest thousandth.)
3x - 8 = 15

Answers

Answer 1

Answer:

Answer:x = 7.667

Step-by-step explanation:

3x - 8 = 15

+ 8 = 23

3x = 23

divide 3 by 3 and 23 so you get x by itself

answer = 7.667

Answer 2

Answer:

Answer:

x = 7.667

Step-by-step explanation:

3x - 8 = 15 (Rearrange expression)

-8 - 15 = -3x (Combine like terms)

-23 = -3x (Divide)

x = 7.667

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You scored 18 out of the 60 points scored by your team. what percent of your team's points did you score?70%30%

Answers

10% of 60 = 6
6 x 3 = 18
You scored 30% of your team's points.

Hope This Helps You!
Good Luck Studying :)

10% of 60=6 6x3=18 you scored 30% hopes this helped

solve for y.try factoring first,if factoring is not possible or difficult use quadratic formula,(y2 2isabovey -10y+23=0)

Answers

$y^2-10y+23=0\n y^2-10y+25-2=0\n (y-5)^2=2\n |y-5|=\sqrt2\n y-5=\sqrt 2 \vee y-5=-\sqrt2\n y=5+\sqrt2 \vee y=5-\sqrt2$

Help me with this question i don’t understand what to do

Answers

Answer:

- 36

Step-by-step explanation:

First evaluate g(18), then substitute the value obtained into h(x), then substitute the value obtained here into f(x).

g(18) = $√(2(18))$ = $√(36)$ = 6, then

h(6) = | 4(6) | - 12 = | 24 | - 12 = 24 - 12 = 12, then

f(12) = - 3(12) = - 36

A softball thrown into the air has a parabolic trajectory. After reaching a maximum height of 28 feet, the ball covers a ground distance of 4 feet before hitting the ground. Which equation describes the ball’s trajectory?

Answers

If the take the origin as the starting point of the ball, then the vertex would be (4,28) and the parabola would be facing downwards. Using the general form of the parabola which is (x-h)^2 = 4p(y-k) where h and k are taken from the coordinate of the vertex (h,k).
So, the equation would be, (x-4)^2)=4p(y-28). To determine 4p, we can substitute either of the two points: (0,0) or (0,8). The second coordinate is taken from the given that the ball covers a distance of 4 ft after it reaches a maximum height. The total distance traveled by the ball is twice that, which is 8 ft.
After substituting, 4p = -4/7. Plugging this into the equation and after expanding and simplifying, the equation of the ball's trajectory is:
y = (-4/7)x^2+14x

A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?112.50 ft2

145.31 ft2

147.66 ft2

290.63 ft2

Answers

The answer is 141.35 ft²

Before the first break, it was painted:
150 ft² ÷ 2 = 75 ft²
Now it's left:
150 ft² - 75 ft² = 75 ft²

Before the second break, it was painted:
75 ft² ÷ 2 = 37.5 ft²
Now it's left:
75 ft² - 37.5 ft² = 37.5 ft²

Before the third break, it was painted:
37.5 ft² ÷ 2 = 18.75 ft²
Now it's left:
37.5 ft² - 18.75 ft² = 18.75 ft²

Before the fourth break, it was painted:
18.75 ft² ÷ 2 = 9.375 ft²
Now it's left:
18.75 ft² - 9.375 ft² = 9.375 ft²

Before the fourth break, it was painted:
9.375 ft² ÷ 2 = 4.6875 ft²
Now it's left:
9.375 ft² - 4.6875 ft² = 4.6875 ft²

Now, we will sum what he painted for now:
75 ft² + 37.5 ft² + 18.75 ft² + 9.375 ft² 4.6875 ft² = 141.3125 ft² ≈ 141.35 ft²

When the painter takes his fifth break, there will be 141.35 ft² of the wall painted.

The painter would have 145.3125 ft^2 painted after the fifth break.

What is the average of 30, 40, and 80?