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SVETLANKA909090 [29]
3 years ago
10

Ms. Johnson has a box of 60 red and black pens on the shelf. If the ratio of red to black pens is 2 to 3, how many red pens does

she have?
Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0
Red to Black.
2 to 3.
For every 2 red we have 3 black so
For 4 red we have 6 black and so on..
Notice that
For every 2+3=5 pens we have 2 red ones
If we divide the total number of pens 60 into groups of 5 we will get 60 /5= 12 groups.
12 groups •2 red pens=24 red pens
Ksivusya [100]3 years ago
5 0
40 red pens I believe
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When you set u=4x^2+4, you end up with the differentials \mathrm du=8x\,\mathrm dx. Multiplying both sides by 2 gives 2\,\mathrm du=16x\,\mathrm dx.

Then the integral is

\displaystyle\int_0^1\frac{16x}{(4x^2+4)^2}\,\mathrm dx=\int_4^8\frac2{u^2}\,\mathrm du=-\frac2u\bigg|_{u=4}^{u=8}=-2\left(\frac18-\frac14\right)=\frac14
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Dustin has a collenction of quarters and pennies. The total value is $4.65. Th
Hitman42 [59]

Answer:

Dustin has 18 quarters and 15 pennies.

Step By Step Solution:

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3 years ago
Find the distance between the points (9,8) and (–2,–4).
Nat2105 [25]

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12/11

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y2-y1/x2-x1

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6 0
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Point A was marked on a number line at -3. Then point A is then moved to a position, point B, that is 11 less than its starting
ira [324]

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7 0
3 years ago
The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?
jonny [76]

Answer:

\displaystyle -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Average Rate of Change: \displaystyle \frac{f(b) - f(a)}{b - a}

Step-by-step explanation:

<u>Step 1: Define</u>

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

<u>Step 2: Find Average</u>

  1. Substitute in variables [ARC]:                     \displaystyle \frac{f(3) - f(-1)}{3 + 1}
  2. Substitute:                                                   \displaystyle \frac{-4 - 4}{3 + 1}
  3. [Fraction] Subtract/Add:                             \displaystyle \frac{-8}{4}
  4. [Fraction] Divide:                                        \displaystyle -2
4 0
3 years ago
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