All categories

4 years ago

150% of what number is 40.

1 answer:

8 0

Solution for what is 150% of 40 40/x=100/150 (40/x)*x=(100/150)*x - we multiply both sides of the equation by x 40=0.666666666667*x - we divide both sides of the equation by (0.666666666667) to get x 40/0.666666666667=x 60=x x=60 now we have: 150% of 40=60

You might be interested in

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

Write 2.484848... as a mixed number in simplest form.

NeX [460]

Step-by-step explanation:

step 1. x = .484848 . . . repeats

step 2. 100x = 48.48484848 . . . (multiply by 100)

step 3. subtract x from 100x : 99x = 48

step 4. x = 48/99 (now add the 2 back in)

step 5. answer: 2-48/99.

4 0

3 years ago

The distance from fallston to Everett is 221 miles. The school vans gets 14 miles per gallon. What is the number of gallons of g

Zanzabum

Answer:

There are 221 mile to be covered , with every 14 miles travelled with one gallon .

221/14 is 15.7 , which is 16

So , its option C

4 0

3 years ago

Read 2 more answers

Write the extreme and middle terms of 5 : 80 :: 4 :64

Stells [14]

Answer:

The extremes are 5 and 64.

The middle terms are 80 and 4.

Step-by-step explanation:

Given the proportion:

5 : 80 :: 4 :64

To find:

The extreme and middle terms of the given proportion.

Solution:

The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.

First number $\times$ Fourth number = Second number $\times$ Third number

First of all, let us check the two products.

5 $\times$ 64 = 320

And the second product:

80 $\times$ 4 = 320

The product is same therefore, the given numbers are in proportion.

The extreme terms are the first and the fourth numbers.

i.e. The extremes are 5 and 64.

The middle terms are 80 and 4.

7 0

3 years ago

Simplify the expression. 6c − 8d + 3c + 4d

bixtya [17]

Answer:

9c -4d

Step-by-step explanation:

6c − 8d + 3c + 4d

Combine like terms

6c + 3c − 8d +4d

9c -4d

8 0

3 years ago