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saul85 [17]
3 years ago
8

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of

10 times and spent a total of 37 tickets. Which equation is true?
A. r(10 – r) = 10
B. r + (10 – r) = 4 + 3
C. 4r[3(10 – r)] = 37
D. 4r + 3(10 – r) = 37
Mathematics
2 answers:
Amanda [17]3 years ago
5 0

Answer:

D. 4r + 3(10 – r) = 37

Explanation:

Let r be the roller coaster ride.  Since it costs 4 tickets, this gives us the expression 4r.

We know that there were 10 rides total; this leaves Michael 10-r for the number of times he rode the boat ride.

Each boat ride costs 3 tickets; this gives us the expression

3(10-r)

Together, this gives us

4r+3(10-r) = 37

OLga [1]3 years ago
4 0

Answer:

Your answer would be D.) 4r + 3(10 – r) = 37


Hope this helps!

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goldenfox [79]

Answer: 14/45

Step-by-step explanation:

Assuming that there is no replacements:

The probability of both pens being red will be represented by P(r), and P(b) and P(g) will represents both being blue and green respectively

P(r) = 5/10 x 4/9 = 2/9

P(b) = 3/10 x 2/9 = 1/15

P(g) = 2/10 x 1/9 = 1/45

Now take all 3 probabilities and add them all together to find the probability that any 2 pen will be the same color

P = P(r) + P(b) + P(g)

P = 2/9 + 1/15 + 1/14

P = 14/45

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3 years ago
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What step should you perform to bisect an angle drawn on tracing paper
max2010maxim [7]

Answer:


Step-by-step explanation:

• Suppose the angle is PQR where Q is the midpoint.  

• Keep the compass at angle vertex Q and adjust some wide setting (the width is not important).

• Without changing the compass, draw an arc across each leg of the angle

• Now keep the compasses on the point drawn on each leg, and draw an arc in the interior of the angle.

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-2(x-4)=-16<br> SOLVE FOR X!!
Andrej [43]

Answer:

x = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-2(x - 4) = -16

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

  1. Distribute -2:                    -2x + 8 = -16
  2. Isolate <em>x</em> term:                  -2x = -24
  3. Isolate <em>x</em>:                           x = 12

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    -2(12 - 4) = -16
  2. Subtract:                       -2(8) = -16
  3. Multiply:                        -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 12 is a solution of the equation.

6 0
2 years ago
A rectangle’s base is 6 cm longer than its height. The rectangle’s area is 135 cm2. Find this rectangle’s dimensions. You must i
il63 [147K]

Area of a rectangle  =  length x height

Area = 135

Height = X

Lenght = x +6

135 = x * x+6

Simplify:

135 = x^2 +6x

Subtract 135 from both sides:

x^2 + 6x - 135 = 0

Solve:

2 numbers when added need to equal 6 and when multiplied equal -135

x = 9 and x = -15

The height can't be a negative number so the height is 9

Length =  9 +6 = 15

Height = 9cm, Length = 15 cm

6 0
3 years ago
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