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sattari [20]
3 years ago
14

Simplify 1/6(15a+20b)=

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
For clarity please enclose that "1/6" inside parentheses:

<span>1/6(15a+20b) = (5/6)(3a + 4b)  This is the simplest form.</span>
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Henry needs 2 pints of red paint and 3 pints of yellow
Readme [11.4K]

Answer:

henry needs 15 pints

Step-by-step explanation:

3+2=5

9 is 3 time 3

so to get the same orange henry must also

have 3 time 2 for red

9+6=15

4 0
4 years ago
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DEF is a right angled triangle calculate the length of EF correct to 3 sigificant figures
Vesnalui [34]

Answer:

\displaystyle EF \approx 15.9

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = 28°

Adjacent Leg = EF = <em>x</em>

Hypotenuse = DF = 18

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Cosine]:                                                                    \displaystyle cos28^\circ = \frac{x}{18}
  2. [Multiplication Property of Equality] Multiply 18 on both sides:                  \displaystyle 18cos28^\circ = x
  3. Evaluate trig:                                                                                                  \displaystyle 18(0.882948) = x
  4. Multiply:                                                                                                          \displaystyle 15.8931 = x
  5. Rewrite:                                                                                                          \displaystyle EF = 15.8931
  6. Round:                                                                                                             \displaystyle EF \approx 15.9
8 0
3 years ago
Asher has about a probability of winning then Ethan has which could be the outcome that Ashlee needs to win the game select thre
mash [69]

Answer:

There are 36 total possible outcomes.

Rolling a sum of 11 or higher, there are 3 possible rolls, to make a 3/36 = 1/12 probability.

Rolling a sum of 4 there are also 3 possibilities, so the chance would be the same.

Rolling a sum of 9, there are 4 possibilities, which is a better chance.

Rolling a sum less than 5, there is 6 possibilities, which is a better chance.

Rolling greater than 5 but less than 7 means rolling a sum of 6, there are 5 chances, which is a better chance.

Rolling greater than 9 but less than 11, means rolling a 10, there are 3 possibilities, which is the same.

Rolling greater than 2 and less than 4 means rolling a 3, there are 2 possibilities, which is less.

The answers would be:

Rolling a sum of 9,

Rolling a sum less than 5

Rolling greater than 5 but less than 7

5 0
3 years ago
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