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Pepsi [2]
3 years ago
10

Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was

$24, not including the tip. How many miles did Mike travel by taxi on his ride? (Please show work)
Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0

Answer:

x=6

Step-by-step explanation:

Put the problem into y=mx+b format we knoe the inital value b is 6 now m is 3 and y the overall price is 24. Use the distributive property.

24=6+3x y=6+3x y=24

-6  -6

<u>18</u>=<u>3x</u>

3    3

6=x

x=6

lyudmila [28]3 years ago
6 0

Answer:

6 miles

Step-by-step explanation:

let m equal miles

3m + 6 = 24

       -6      -6

3m = 18

18 / 3 = 6

6 miles

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Find the value of x in the below complementary angle 3x(5x+2)​
Natali [406]

Answer:

The value of x is 11

Step-by-step explanation:

<em>Two angles are complementary if the sum of their measures is 90°</em>

Let us use this rule to solve our question

∵ The angle of measure (3x)° and the angle of measure (5x + 2)°

   are complementary angles

→ That means their sum equals 90°

∴ 3x + 5x + 2 = 90

→ Add the like terms in the left side

∵ (3x + 5x) + 2 = 90

∴ 8x + 2 = 90

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ 8x + 2 - 2 = 90 - 2

∴ 8x = 88

→ Divide both sides by 8 to find x

∵ 8x/8 = 88/8

∴ x = 11

∴ The value of x is 11

7 0
3 years ago
If you have a chance to win $500 for drawing a card of 10 of any suit from a standard deck of cards, what is the value of expect
Dimas [21]
The expected value is $38.46.

The probability of drawing a 10 from any suit is 4/52.  Multiply this by the earnings, 500:

4/52(500) = 2000/52 = 38.46
6 0
3 years ago
Estimate the value of 102. ÷ 4.7
Maksim231197 [3]

Answer:

21.7

Step-by-step explanation:

divide

4 0
2 years ago
!!!!!! URGENT PLS HELP ME ANSWER !!!!
laila [671]

Answer:

1) A = 547.1136, C = 82.896

2) A = 678.5226, C = 92.316

3) A = 844.5344, C = 102.992

4) A = 1554.49625, C = 139.73

5) A = 1561.4906, C = 140.044

6) A = 994.8776, C = 111.784

Step-by-step explanation:

1)

A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{26.4}{2})^2 = 3.14 * 13.2^2 = 547.1136

C = \Pi D = 3.14 * 26.4 = 82.896

2)

A = \Pi r^2 = 3.14*(14.7)^2 = 678.5226

C = 2\Pi r = 14.7*2 * 3.14 = 92.316

3)

A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{32.8}{2})^2 = 3.14 * 16.4^2 = 844.5344

C = \Pi D = 3.14 * 32.8 = 102.992

4)

A = \Pi (\frac{D}{2})^2 =  3.14 * (\frac{44.5}{2})^2 = 3.14 * 22.25^2 = 1554.49625

C = \Pi D = 44.5*3.14 = 139.73

5)

A = \Pi r^2 = 3.14*22.3^2 = 1561.4906

C = 2\Pi r = 2 * 3.14 * 22.3 = 140.044

6)

A = \Pi r^2 = 3.14 * 17.8^2 = 994.8776

C = 2\Pi r = 2 * 3.14 * 17.8 = 111.784

8 0
3 years ago
Find the zeros of the function f(x) = x2 + 5x + 6. A) y = 6 because the graph crosses the y-axis at 6. B) y = -0.25 because that
Fofino [41]

Answer:

D.)

Step-by-step explanation:

The zero's are referencing when y=0, note that when y=0 they are talking about the x-intercepts.  You can graph the function and see when the graph crosses the x-axis or solve for the x-values.  I will solve it via factoring and so:

f(x)=x^2+5x+6

Multiply the outer coefficients, in this case 1 and 6, and 1×6=6.  Now let's think about all the factors of 6 we have: 6×1 and 2×3.  Now is there a way that if we use any of these factors and add/subtract them they will return the middle term 5?  Actually we can say 6-1=5 and 2+3=5.  Let's try both.

First let's use 6 and -1 and so:

x^2+5x+6\\\\x^2+6x-x+6\\\\x(x+6)-1(x-6)

Notice how we have (x+6) and (x-6), these factors do not match so this is incorrect.

Now let's try 2 and 3 and so:

x^2+5x+6\\\\x^2+3x+2x+6\\\\x(x+3)+2(x+3)\\\\(x+2)(x+3)

Notice how the factors (x+3) matched up so this is a factor and so is (x+2), now to solve for the zero's let's make f(x)=0 and solve each factor separately:

Case 1:

f(x)=x+2\\\\0=x+2\\\\x=-2

Case 2:

f(x)=x+3\\\\0=x+3\\\\x=-3

So your zero's are when x=-2 and x=-3.

D.) x=-3 and x=-2 because the graph crosses the x-axis at -3 and -2.


~~~Brainliest Appreciated~~~

8 0
3 years ago
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