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maxonik [38]
4 years ago
9

31 gallons of gas cost $82.15.

Mathematics
1 answer:
Nadya [2.5K]4 years ago
8 0
82.15 / 31 = 2.65 per gallon
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taurus [48]

9514 1404 393

Answer:

  P(F|A) = 35%

Step-by-step explanation:

P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35

P(F|A) = 35%

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The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.

6 0
3 years ago
Show workings please
Alenkinab [10]

Answer: x = 21°

Step-by-step explanation:

37 + 4x + (3x - 4) = 180°   Original Equation

37 + 4x + 3x - 4 = 180°   Commutative Property of Addition

7x + 33 = 180°   Combine like terms

7x = 148°  Subtract 33 from both sides

x = 21°   Divide both sides by 7

8 0
3 years ago
Drag each real-world situation to the correct column to show whether it can be modeled by combining additive inverses to get 0.
Flauer [41]

Answer:

. An investment account earns 2.8% simple interest.

   Since investment amount increases every year linearly, therefore, the modeled situation represents a LINEAR FUNCTION.

B). The price of a stock varies by 2.8% each week.

   Since price of the stock may increase or decrease every week, therefore, this situation can't be modeled by any function.

Therefore, the answer is NEITHER.

C). An investment account earns 2.8% compound interest, compounded monthly.

Formula to get the value of the final amount in the account is,

Final value = Initial value ×

Here 't' = Duration of investment

It's an EXPONENTIAL FUNCTION.

Step-by-step explanation:

3 0
2 years ago
On Monday, a museum had 150 visitors. On Tuesday, its had 260 visitors.
steposvetlana [31]

Answer:

Step-by-step explanation:

%change=100(final-initial)/initial

%change=100(260-150)/150

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260(520/300)

451 (rounded to nearest whole person)

6 0
3 years ago
Read 2 more answers
What is the value of a when we rewrite 8^x as a^-x/9​
Andre45 [30]

Answer:

a = \frac{1}{134217728}

Step-by-step explanation:

Given

8^x = a^{-x/9}

Required

Find a

Take log of both sides

log(8^x) = log(a^{-x/9})

Apply law of logarithm

x\ log(8)  = (-x/9) log(a)

Divide both sides by a

log(8)  = -\frac{1}{9} log(a)

Multiply both sides by -9

-9\ log(8)  = log(a)

Apply law of logarithm

log(8^{-9})  = log(a)

Cancel out log

8^{-9}  = a

Rewrite as:

a = 8^{-9}

Apply law of indices

a = \frac{1}{8^9}

a = \frac{1}{134217728}

4 0
3 years ago
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