All categories

3 years ago

10y-50= 10y−50= \,\,-20 −20

Mathematics

1 answer:

densk [106]3 years ago

6 0

Answer:

Therefore the value of 'y' is,

$y=3$

Step-by-step explanation:

Given:

$10y-50=-20$

To Find:

y= ?

Solution:

$10y-50=-20$ ........Given

Step 1. Adding 50 to both the side we get

$10y-50+50=-20+50\\10y=30$

Step 2. Dividing by 10 on both the side we get

$\dfrac{10y}{10}=\dfrac{30}{10}\\\\y=3$

Therefore the value of 'y' is,

$y=3$

You might be interested in

Find k if (x+1) 2x^3+kx^2+1

Viktor [21]

<h2>Question:</h2>

Find k if (x+1) is a factor of 2x³ + kx² + 1

<h2>Answer:</h2>

k = 1

<h2>Step-by-step explanation:</h2>

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

<em>This is because;</em>

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

<em><u>From the question</u></em>

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

3 0

2 years ago

Which equation best represents this situation?

Harlamova29_29 [7]

Hello!

We have the difference between 30 and x(our unknown value) is equal to 17; so we just simply set it up that way. Always think of x or any variable(like in your question they use p, it can be anything u want, it’s simply a representation of an unknown value we are trying to find)as your unknown and what operation they are implying as in this case it’s subtraction as they want the difference between 30 and x.

So the answer is a. 30-p=17

Hope this helped and any questions please just ask. Thank you!

7 0

3 years ago

The compound depreciation of shares of business company for 2 years is at the rate of 2.5% p.a. If the present value of certain

horrorfan [7]

Answer:

Step-by-step A bureaucrat who had no hope of advancing professionally still followed every rule, even when it slowed down his work and personal growth. According to the strain theory, what type of deviance does his behavior illustrate?

3 0

2 years ago

Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distr

bazaltina [42]

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 109.0 inches, and a standard deviation of 12 inches.

This means that $\mu = 109, \sigma = 12$

Sample of 25.

This means that $n = 25, s = \frac{12}{\sqrt{25}} = 2.4$

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{112 - 109}{2.4}$

$Z = 1.25$

$Z = 1.25$ has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

7 0

3 years ago

Help The first one is what is on sale and the bottem is what needs to be solved!

Hatshy [7]

Answer:

jacket 80

shoes 32 and 16

shirt 9 , 8.04, 4.08

Step-by-step explanation:

you need to multiply the original cost by the percentage off and then subtract from the original

example

Jacket is originally priced at $120 it is on sale for 1/3 off which means that if you divide 120 by 3 you will get 40. but you would have to subtract the 40 from 120 giving you 80

7 0

2 years ago

Read 2 more answers