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3 years ago

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

Mathematics

2 answers:

valentina_108 [34]3 years ago

7 0

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

zlopas [31]3 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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Justin got a sack of Jelly beans in 5 different colors. Half if them were red,1/6 were green,1/6 were yellow,1/12 were orange, a

Mrrafil [7]

Answer:

Total number of Jelly beans in the sack = 72

Number of red beans = 36

Number of green beans = 12

Number of yellow beans = 12

Number of orange beans = 6

Number of black beans = 6

Step-by-step explanation:

Let total number of jelly beans be = $x$

We are given fractions of different colors of beans. To find the exact number of beans we need to multiply the fraction with the total number of beans.

Fraction of total are red beans = $\frac{1}{2}$

Number of red beans = $\frac{1}{2}\times x= \frac{x}{2}$

Fraction of total are green beans = $\frac{1}{6}$

Number of green beans = $\frac{1}{6}\times x= \frac{x}{6}$

Fraction of total are yellow beans = $\frac{1}{6}$

Number of yellow beans = $\frac{1}{6}\times x= \frac{x}{6}$

Fraction of total are orange beans = $\frac{1}{12}$

Number of orange beans = $\frac{1}{12}\times x= \frac{x}{12}$

Number of black beans = 6

Total number of beans can be given as

$\frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6$

Since we assumed total number of beans to be $x$ , so we have.

$\frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6=x$

Multiplying each term by 12 to remove fractions.

$(12\times\frac{x}{2})+(12\times\frac{x}{6})+(12\times\frac{x}{6})+(12\times\frac{x}{12})+(12\times6)=12\times x$

$6x+2x+2x+x+72=12x$

combining like terms.

$11x+72=12x$

Subtracting both sides by $11x$

$11x+72-11x=12x=11x$

$72=x$

∴ $x=72$

Total number of Jelly beans in the sack = 72

Number of red beans = $\frac{1}{2}\times 72= 36$

Number of green beans = $\frac{1}{6}\times 72= 12$

Number of yellow beans = $\frac{1}{6}\times 72= 12$

Number of orange beans = $\frac{1}{12}\times 72= 6$

number of black beans = 6

8 0

3 years ago

Fundamental Counting Principle (L2)

sukhopar [10]

16 possible outcomes

5 0

3 years ago

Read 2 more answers

1; 4; 16; 64; ... what is the general term

Alborosie

Given:

The sequence is

1, 4, 16, 64

To find:

The general term of the given sequence.

Solution:

We have, the sequence

1, 4, 16, 64

Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.

First term is:

$a=1$

Common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{4}{1}$

$r=4$

The nth term of a geometric sequence is

$a_n=ar^{n-1}$ ...(i)

Where, a is the first term and r is the common ratio.

Putting a=1 and r=4 in (i), we get

$a_n=(1)(4)^{n-1}$

$a_n=4^{n-1}$

Therefore, the general term of the given sequence is $a_n=4^{n-1}$ .

8 0

2 years ago

Can someone please help me?

Korolek [52]

The answer is b because I took it and got it w

6 0

3 years ago

Read 2 more answers

Ellie and Jamie like to bake cookies. Ellie baked 24 chocolate chip cookies, and Jamie baked p peanut butter cookies. Together t

kirza4 [7]

Answer:

C) p + 24 = 56

Step-by-step explanation:

The total number of cookies baked = Number of cookies Ellie baked + Number of cookies Jamie baked

Ellie baked 24 chocolate chip cookies.

Jamie baked p peanut butter cookies.

Total of 56 cookies.

Hence:

56 = p + 24

Therefore, the equation that can be solved for p to find the number of cookies Jamie baked is

p + 24 = 56

Option C is the correct option

7 0

2 years ago