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r-ruslan [8.4K]
3 years ago
12

You and four friends are going to Magic Mountain. It cost $20 to park your car and you spend $445 total just to get into the par

k. Solve to find the price per ticket. Please remember this is money.
Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer:

$85

Step-by-step explanation:

445-20=425 425 ÷5= 85

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What is the simplified form of -24m^5 n^4/ 8m^-7 n^-2
solong [7]

Answer:

  -3·m^12·n^6

Step-by-step explanation:

We assume you intend ...

  (-24·m^5·n^4)/(8·m^-7·n^-2)

  = (-24/8)·m^(5-(-7))·n^(4-(-2))

  = -3·m^12·n^6

_____

If you really intend what you have written, then it simplifies to ...

  (-24·m^5·n^4/8)·m^-7·n^-2 . . . . . note that all factors involving m and n are in the numerator

  = (-24/8)·m^(5-7)·n^(4-2) = -3n^2/m^2

8 0
3 years ago
A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.
Tju [1.3M]

$ 1850 was invested in 9% account

<u>Solution:</u>

Given that  

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493      

=> y = 9493 - x                              ------(1)

\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}

\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}

As total interest earned = $930.80

\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}

On substituting value of y from equation(1) in above equation , we get

9x + 10 (9493 – x) = 93080

=> 9x  + 94930 – 10x = 93080

=> -x = 93080 – 94930

=> -x = -1850

=> x = 1850  

Amount invested in account where Simple Interest is 9% = x  = $1850

Hence $1850 was invested in 9% account.

5 0
3 years ago
Find the product. 2y 2(3x + 5z) 5xy 2 + 7y 2z 6xy 2 + 10y 2z 2 6xy 2 + 10y 2z
Illusion [34]
120
x
2
y
2
+
848
x
y
2
z
+
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7 0
3 years ago
4 there are only red sweets and yellow sweets in a bag.
Taya2010 [7]

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be \dfrac{7}{10}

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

In this problem:

  • In total, there are 8 + n sweets in the bag.
  • Of those, n are red.

The probability of red is:

p=\dfrac{n}{n+8}

Supposing, we solve for n:

\dfrac{n}{n+8} = \dfrac{7}{10}

10n = 7n + 56

3n = 56

n  =  56 / 3

n  =  18.67

Since the number of red sweets would be a decimal number, the probability cannot be 7 / 10

To know more about probability follow

brainly.com/question/24756209

#SPJ1

4 0
2 years ago
(a) One ball is selected at random from the bag.
lana [24]

Answer:

a) The probability is 1/5

bi) The probability each ball is even will be 2/5

bii) The probability the sum of the numbers on the ball is not more than 10 is 16/25

(that's what I think it is)

3 0
3 years ago
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