Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?

There is an animal farm where chickens and cows live. All together, there are 84 heads and 210 legs. How many chickens and cows

Ira Lisetskai [31]

1 Chicken have = 2 legs

1 Cow have = 4 legs

No of cows = x

No of chickens = y

Total no of legs = 4x + 2y = 210.............(1)

Total No of heads = x + y = 84................(2)

x = 84 - y....( from (2) )

Substituting the above equation in (1)

4 ( 84 - y) + 2y = 210

336 - 4y + 2y = 210

336 - 2y = 210

-2y = -126

= y = 63

No of cows = 84-63 = 21

∴ Total no of cows = 21

Total no of chickens = 63

5 0

3 years ago

Am nevoie de o npropozitie in care cuvantul ramura sa fie atribut

melomori [17]

Can you type in english

7 0

3 years ago

Which postulate or theorem justifies this statement: ∠ 11 + ∠ 10 = 180°

Trava [24]

Answer:

Same-side Interior Angles theorem justifies ∠ 11 + ∠ 10 =180°

Step-by-step explanation:

To Prove:

∠ 11 + ∠ 10 =180°

Proof:

Consider lines are Parallel,then

Corresponding Angles are Equal

∴ ∠ 10 = ∠ 12 say (equation 1)

Now by Linear Pair postulate we have,

∴ ∠ 11 + ∠ 12 = 180° say (equation 2)

Now by replacing ∠12 by ∠ 10 from equation 1 in equation 2 we get

∴ ∠ 11 + ∠ 10 = 180°

Hence proved the above statement.

7 0

3 years ago

What is the solution?( no solution or all real numbers) -3(x-1) > -3x - 2.

Step2247 [10]

Answer:

No solution

Step-by-step explanation:

So first we have to Distribute;

-3x + 3 > -3x - 2

This is an solution which means that they can never intersect on a graph.

We can solve further if you want;

Add 3x to both sides;

The x cancel themselves out.

3 > -2

6 0

3 years ago

Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

ahrayia [7]

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 180, \sigma = 8$