MATHEMATICS HIGH SCHOOL

Jack and his friends are collecting cans for the food bank. Thus far, they have collected 1500 cans. Jack has collected 60 percent of the cans. Marcia has collected 25 percent of the cans. How many cans have their other friends collected thus far?

Answers

Answer 1
Answer: 1500*.6=900, 1500-900=600, 1500*.25=375, 1500-375=1125, 1125-900=225, so the remaining friends have collected 15% of the cans which is a total of 225 cans. Explanation is that we start by finding how much 60% is of 1500 which is 900 now that we have that we need to subtract 900 from 1500 like so which equals 600, now we need to see how much 25% is of 1500 which is 375 then youll take 1500-375=1125 then take 1125-900=225, leaving you with 225 cans that your other friends picked up and then you take 100-60-25=15% so your friends picked up 15% of the remaining cans which is a total of 225 cans.

-Enjoy!=)
Answer 2
Answer:
multiply 1500 by .6, so jack collected 900. multiply 1500 by .25, so  Marcia collected 375, so the other friends collected 225 cans, because 1500 - 1275 is 225

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Which of the following is an example of an improper fraction?a. 6/7 b. 3/10 c. 10/3 d. 4/5

The number of basic headphones the store can purchase if it spends a total of $10,000 on headphones and buys 110 HD headphones for $70 each.

Answers

Answer:

Total amount spent = $10,000

Cost of one HD headphones = $70

So, cost of 110 HD headphones = 70*110=7700 dollars

Hence, amount left to purchase basic headphones = 10000-7700=2300 dollars

So, the store can buy x headphones from $2300. Where x can be found by dividing 2300 by the cost of 1 headphones.
The store buys 110 HD head phone for $70 each. That means they spent 110 x 70 = $7,700 on them

$10,000 - $7,700 = $2,300

The store has $2,300 dollars left to spend on basic headphones.

The answer is $2,300 ÷ cost of basic headphones

Cos theta = -5/6
180° <0<270°

Answers

Answer:choccy milk  solve all  yo problems

pop a choccy milk

Need help with D. THANXS!! <3

Answers

2*3^x 

2*3^x^(^5^) 

2*243 

= 486
2 * 3^x where x=5
plug 5 in for x: 2 * 3^5
3^5 is 3*3*3*3*3, or 243
multiply that by 2 to get 486.
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A row of plaques covers 120 square feet of space along a wall. If the plaques are 3 feet tall, what length of the wall do they cover?

Answers

a foot =12inches so 12×3=36.then 120×12=1,440

flflflflfStep-by-step explanation:

What is the indefinite integral of 6sin(3t) dt?

Answers

Answer:

\displaystyle \int {6sin(3t)} \, dt = -2cos(3t) + C

General Formulas and Concepts:

Calculus

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Integration

  • Integrals
  • [Indefinite Integrals] Integration Constant C

Integration Property [Multiplied Constant]:                                                         \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

\displaystyle \int {6sin(3t)} \, dt

Step 2: Integrate Pt. 1

  1. [Integral] Rewrite [Integration Property - Multiplied Constant]:                 \displaystyle \int {6sin(3t)} \, dt = 6\int {sin(3t)} \, dt

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

  1. Set u:                                                                                                             \displaystyle u = 3t
  2. [u] Differentiate [Basic Power Rule, Multiplied Constant]:                         \displaystyle du = 3 \ dt

Step 4: integrate Pt. 3

  1. [Integral] Rewrite [Integration Property - Multiplied Constant]:                 \displaystyle \int {6sin(3t)} \, dt = 2\int {3sin(3t)} \, dt
  2. [Integral] U-Substitution:                                                                               \displaystyle \int {6sin(3t)} \, dt = 2\int {sin(u)} \, du
  3. [Integral] Trigonometric Integration:                                                             \displaystyle \int {6sin(3t)} \, dt = -2cos(u) + C
  4. Back-Substitute:                                                                                             \displaystyle \int {6sin(3t)} \, dt = -2cos(3t) + C

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

Unit:  Integration

Which of the following fractions would become a repeating decimal?a.1/8
b.3/4
c.27/36
d.7/9
e.5/8

Answers

Because we work in a base 10 number system, any denominator that can be expressed as a multiple of 2s 5s and 10s will not be infinite and therefore not repeating.  1/8 is 1/(2*2*2) which is .125.  3/4 is 3/(2*2) which is .75.  27/36 is a tricky one because it's not in simplest form.  You can divide the top and bottom by 9 to get 3/4 which we already know is .75.  5/8 is 5/(2*2*2) which is .625.  That leaves 7/9.  9 cannot be expressed as a multiple of 2s and 5s ad tens so it must be that one.  7/9 is .777777 repeating.
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