All categories

3 years ago

5/8 - 5/12 ( 3 - 1/4 ) + 2/3 =

Mathematics

2 answers:

morpeh [17]3 years ago

4 0

the answer is 0.145833333

Alja [10]3 years ago

4 0

5/8 - 5/12 (3 - 1/4) + 2/3 =
5/8 - 5/12 (12/4 - 1/4) + 2/3 =
5/8 - 5/12 (11/4) + 2/3 =
5/8 - 55/48 + 2/3 =
30/48 - 55/48 + 32/48 =
7/48

You might be interested in

Rafel counted a total of 40 white cars and yellow cars.there were 9 times as many white cars as yellow cars. how many white cars

Degger [83]

Let w bet the number of white cars and y the numbers of yellow cars.
"Rafael counted a total of 40 white and yellow cars" So w+y = 40.
"There were 9 times as many white cars as yellow cars" So 9Y = W

We get the system:
w+y=40 (1)
9y=w (2)

In equation (1), let's replace w by it's value from equation (2) since w=9y.
We get: 9y+y = 40
10y=40
y=4
So there's 4 yellow cars.

In equation (1), let's replace y by it's value
w+4=40
w=40-4
w=36

Rafael counted 36 white cars.

You can re-check your answer:
4+36=40 (w+y=40)
9*4=36 (9y=w)
The answer has been approved.

Hope this Helps! :)

3 0

3 years ago

Read 2 more answers

Evaluate the definite integral from pi/3 to pi/2 of (x+cosx) dx

Vadim26 [7]

Answer:

$\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + 1 - \frac{\sqrt{3}}{2}$

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx$

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {x} \, dx + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx$
[Left Integral] Integration Rule [Reverse Power Rule]: $\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx$
[Right Integral] Trigonometric Integration: $\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \sin x \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}}$
Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + \bigg( 1 - \frac{\sqrt{3}}{2} \bigg)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0

2 years ago

Read 2 more answers

If x = 5, find the value of (x+3)²

asambeis [7]

Step-by-step explanation:

Given

if x = 5 Then

(x+ 3)²

= ( 5 + 3) ²

= 8²

= 64

Hope it will help :)❤

7 0

2 years ago

Read 2 more answers

The numbers of points that a player must accumulate to reach the next level of a video

ludmilkaskok [199]

Answer:

a_n=125×20^(n-1)

Step-by-step explanation:

a_n=x×y^(n-1)

a_3=50000=x×y^2

a_5=20000000=x×y^4

y^2=20000000/50000=400

y=20;x=125

3 0

2 years ago

Are the following lines parallel, perpendicular, or neither?

natta225 [31]

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.

Perpendicular means that both lines are reciprocal to each other. This means the perpendicular condition is or satisfies $\displaystyle \large{m_1m_2 = -1 \longrightarrow m_1 = -\frac{1}{m_2} \longrightarrow m_2 = -\frac{1}{m_1}}$

We have m1 = -4/3 and m2 = 3/4.

Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.

8 0

2 years ago