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3 years ago

Write a system of equations to describe the situation below, solve using substitution, and fill in the

Mathematics

1 answer:

timofeeve [1]3 years ago

8 0

Answer:

Let C represent the total cost of each deal

Let T be the number of trips down the water slide

C = 32 for the 1st deal since the cost is the same regardless of how much she rides

C = 18 + T for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14 trips

The cost must be $32 since that is the only cost possible for the 1st deal

Step-by-step explanation:

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a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou

Fed [463]

Answer:

$\displaystyle P(A)=\frac{6}{11}$

Step-by-step explanation:

Probabilities

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

$\Omega=\{WW,WN,NW,NN\}$

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

$A=\{WN,NW\}$

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

$\displaystyle \frac{5}{11}$

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

$\displaystyle \frac{6}{10}$

Thus the option WN has the probability

$\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}$

Now for the second option NW. The initial probability to pick a non-white counter is

$\displaystyle \frac{6}{11}$

The probability to pick a white counter is

$\displaystyle \frac{5}{10}$

Thus the option NW has the probability

$\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}$

The total probability of event A is the sum of both

$\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}$

$\boxed{\displaystyle P(A)=\frac{6}{11}}$

7 0

3 years ago

Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $237.36. Water World is offering an

galina1969 [7]

Divide the price by the number of months to find the monthly rate.
$237.36 ÷ 24 = $9.89 per month 
$184.50 ÷ 18 = $10.25 per month

The two year club, Aqua Plus is cheaper

8 0

3 years ago

Read 2 more answers

If two circles have the same circumference what do you know about their area

Usimov [2.4K]

If the circumference is half of the perimeter than the area for both circles would be half of them find one circles area and half it

8 0

3 years ago

Please help me with these problems

S_A_V [24]

Answer:

1.a=2

2. C x=2 and x=-3

Step-by-step explanation:

The standard form for the quadratic function is

ax^2 +bx+c

so we need to rewrite the function to be in this form

2x^2 -10 = 7x

Subtract 7x from each side

2x^2 -7x-10 = 7x-7x

2x^2 -7x-10 = 0

a =2, b= -7 c=-10

2. The quadratic formula is

-b ± sqrt(b^2 -4ac)

----------------------------

2x^2 + 2x=12

Lest get the equation in proper form

2x^2 + 2x-12 = 12-12

2x^2 +2x-12 =0

a=2 b=2 c=-12

Lets substitute what we know

-2 ± sqrt(2^2 -4(2)(-12))

----------------------------

2(2)

-2 ± sqrt(4+96)

----------------------------

2(2)

-2 ± sqrt(100)

----------------------------

-2 ± 10

----------------------------

-2 + 10 -2-10

----------- and --------------

4 4

8/4 and -12/4

2 and -3

8 0

3 years ago

!!!?!!?!?!!??!!!!!!!!!?!

Eva8 [605]

Answer:

Step-by-step explanation:

Substitute n for 10, 11 and 13

45 - 10 = 35

45 - 11 = 34

45 - 12 = 33

The answer is ten because when substituting n for 10, the equation

35 = 45 - 10

is true

7 0

2 years ago

Read 2 more answers