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2 years ago

What is the value of x in simplest radical form?

Mathematics

2 answers:

Ostrovityanka [42]2 years ago

8 0

In this case, we will use our Pythagorean Theorem.

a = 84
b = 13
c = x

$\sqrt{84^2 + 13^2} = 85$

Thus, x = 85.

AVprozaik [17]2 years ago

7 0

${x}^{2} = {13}^{2} + {84}^{2} \\ {x}^{2} = 169 + 7056 = 7225 \\ x = \sqrt{7225} = 85$

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Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If clare doesn't

AVprozaik [17]

We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form $y=a(1+r)^x$ , where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

$3\%=\frac{3}{100}=0.03$

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

$y=160(1+0.03)^x$

$y=160(1.03)^x$

To find amount of money in Clare's account after 30 years, we need to substitute $x=30$ in our equation.

$y=160(1.03)^{30}$

Therefore, the expression $160(1.03)^{30}$ represents the amount of money that Clare would have after 30 years.

8 0

2 years ago

The Sweet water High School Project Graduation committee is hosting a dinner-and-dance fundraiser at the Sweet water Community C

yan [13]

Answer:

<h2> 105 tickets</h2>

Step-by-step explanation:

To solve this problem we need to model an equation to represent the situation first.

the goal is to archive $7500 in the even, bearing in mind that there is a cost of $375 fee for rent, we need to put this amount into consideration

let the number of tickets be x

75x-375>=7500--------1

Equation 1 above is a good model for the equation

we can now solve for x to determine the number of tickets to be sold to archive the aim

75x-375>=7500--------1

75x>=7500+375

75x>=7875

divide both sides by 75 we have

x>=7875/75

x>=105 tickets

so they must sell a total of 105 tickets and above to meet the target of $7500 with the rent inclusive

4 0

2 years ago

Read 2 more answers

1. In Suri's coin purse she has 6 dimes and

ollegr [7]

Answer:

The ratios are not equal

Step-by-step explanation:

Let

x ----> the number of dimes

y ----> the number of quarters

we know that

 Suri's coin purse

x=6, y=4

The ratio of dimes to quarters is

$\frac{x}{y} =\frac{6}{4}$

 Martha's coin purse

x=5, y=3

The ratio of dimes to quarters is

$\frac{x}{y} =\frac{5}{3}$

Compare the ratios

$\frac{6}{4}=\frac{5}{3}\\6(3)=4(5)\\18\neq 20$

therefore

The ratios are not equal

3 0

2 years ago

C=wtc/1000 solve for w

Nutka1998 [239]

For this case we have the following equation:
$C = \frac{wtc}{1000}$
To clear w, we must follow the following steps:
1) The value of t multiplied by c pass to divide the other side of the equation:
$\frac{w}{1000} = \frac{C}{tc}$
2) the value of 1000 is passed to multiply to the other side of the equation:
$w = \frac{1000C}{tc}$
Answer:
The cleared equation for w is:
$w = \frac{1000C}{tc}$

3 0

2 years ago

Read 2 more answers

A whole number from 1 to 15 inclusive is picked at random.

Helen [10]

Answer:

a) 3/7

b) 3/5

Explanation:

The figure attached shows the Venn diagram for the given sets.

a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?

The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.

The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.

Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:

8 0

2 years ago