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2 years ago

What is the value of x in the equation 25x2 = 16?

Mathematics

2 answers:

valentina_108 [34]2 years ago

7 0

25x2 = 16
x^2 = 16/25
x^2 = 4^2/5^2
x = 4/5

zlopas [31]2 years ago

6 0

Answer:

The answer is

$x=(+/-)\frac{4}{5}$

Step-by-step explanation:

we have

$25x^{2}=16$

Solve for x

Divide by $25$ both sides

$25x^{2}/25=16/25$

$x^{2}=16/25$

Square root both sides

$x=(+/-)\sqrt{\frac{16}{25}}$

$x=(+/-)\frac{4}{5}$

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An Adult ticket at an amusement park costs $24.95 and a child's ticket costs $15.95. A group of 10 people paid $186.50 to enter

leva [86]

Answer:

There were 3 adults

Step-by-step explanation:

Step 1: Derive the first expression

a+c=10...equation 1

where;

a=number of adults

c=number of children

And total number of people=10

Step 2: Derive the second expression;

Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)

where;

Total cost of tickets=$186.50

price per child ticket=$15.95

price per adult ticket=$24.95

number of children=c

number of adults=a

replacing;

(15.95×c)+(24.95×a)=186.5

24.95 a+15.95 c=186.5....equation 2

Step 3: Combine equation 1 and 2 and solve simultaneously

24.95 a+15.95 c=186.5

24.95(a+c=10)

(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)

-9 c=-63

c=-63/-9

c=7

replace the value for c in equation 1

a+c=10

a+7=10

a=10-7

a=3

There were 3 adults

6 0

2 years ago

I WILL MAKE WHOEVER ANSWERS THIS CORRECTLY THE BRAINLIEST :D Rei is barricading a door to stop a horde of zombies. She stacks bo

ivann1987 [24]

Answer:

See below.

Step-by-step explanation:

Well first, we need to find the weight of the table. We know that 8 boxes weighs a total of 240kg (since each box weights 30kg). Thus, we can conclude that the table weighs 70kg by doing 310-240=70.

Now, we can write our function. Let $x$ equal the amount of boxes.

The table is a set weight, so that would be our constant.

Thus, we will have:

$f(x)=30x+70$

30x represents the weight each box of book adds to the total. One box equals 30kg, 2 boxes equal 60kg, etc.

The 70 represents the unchanging weight of the table.

In terms of W(x), it will be:

$W(x)=30x+70$

3 0

2 years ago

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If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment

Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = $\frac{0.054}{12}= 0.0045$

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest

First compute the Equated monthly installments (EMI) as follows:

$EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21$

Now compute the interest as follows:

$Interest=P\times r\\=15000\times0.0045\\=67.5$

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest

= 453.21 - 67.5

= 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0

1 year ago

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How do I determine the 50th term for the sequence -5, -1, 3, 7, 11

Aneli [31]

The sequence is going up by 4 so u have to multiply each term by four and the -5 is it’s 0th term as well it’s beginning so you have to input that in the equation as well
4(50) - 5 = 200 - 5 = 195
I’m not very good at explaining so I hope u get it

3 0

2 years ago

A daycare center charges a $75 enrollment fee plus $100 per week. Which of the following represents the cost of sending a child

Lorico [155]

Answer:

$1,475

Step-by-step explanation:

times 100 by 14 which is 1400

but then add 75 onto that

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2 years ago

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