All categories

3 years ago

Find two numbers with the sum of 65.twice the smaller number is ten more than the bigger one

Mathematics

1 answer:

melomori [17]3 years ago

4 0

Step-by-step explanation:

To begin, let’s represent both numbers with letters; x for the smaller number and y for the larger one

The question states that both numbers sum up to 65. With that, we can create our first equation:

x+y = 65

You also went on to say that the smaller number multiplied by 2, is equal to the sum of the larger number and 10. Therefore

2x = y+10

We can rearrange the first equation, place it in the second equation and find our answer. So,

Rearranging equation 1, we have y=65-x. Hence:

2x = 65-x +10

3x = 75

x= 75/3 = 25

Substituting this value into equation 1, we have ‘y’ to be 40 {65–25}

Proof: 2*25 = 50 = 40+10

You might be interested in

<img src="https://tex.z-dn.net/?f=x%20%2B%204x%20%2B%206x" id="TexFormula1" title="x + 4x + 6x" alt="x + 4x + 6x" align="absmidd

Fantom [35]

Answer: 11x

Step-by-step explanation:

Hi there,

In order to complete this, you have to add the numbers next to the x's together and then put the x back on to it. Since the first x doesn't have a number, it is 1. Since 1 + 4 + 6 = 11, the answer is 11x.

Have a good day,

Jamie

4 0

3 years ago

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. , The mean, ,

klemol [59]

Complete Question

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. , The mean, , is nothing. (Round to the nearest tenth as needed.)

p = 0.6 n = 18

Answer:

The mean $\mu = 10.5$

The standard deviation $\sigma = 2.08$

The variance $var = 4.32$

Step-by-step explanation:

From the question we are told that

The probability of success is $p = 0.6$

The sample size is $n = 18$

Generally given that the distribution is binomial, then the probability of failure is mathematically represented as

$q = 1- p$

substituting values

$q = 1- 0.6$

$q =0.4$

Generally the mean is mathematically evaluated as

$\mu = np$

substituting values

$\mu = 18 * 0.6$

$\mu = 10.5$

The standard deviation is evaluated as

$\sigma = \sqrt{npq}$

substituting values

$\sigma = \sqrt{18 * 0.6 * 0.4}$

$\sigma = 2.08$

The variance is evaluated as

$var = \sigma^2$

substituting value

$var = 2.08^2$

$var = 4.32$

4 0

4 years ago

Please help me asap!! Will mark as brainliest!!!200 points !!!!!!!! Find the area of the trapezoid given the coordinates: -3,3 -

mylen [45]

what are we using ? feet, inches, etc.

6 0

3 years ago

Read 2 more answers

An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of

Liula [17]

Answer:

65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

(4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

d² = 12² +7² = 144 +49 = 193

d = √193 ≈ 13.892

Then the total length of all strings is ...

L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0

3 years ago

Devon invests $9,000 in a savings account that pays 1.5% simple interest. How much will be in the account after 6 years if Devon

MAVERICK [17]

$810 because if you use the simple interest formula (s=p*r*t), you get $810 hope this helped!

4 0

3 years ago