Division in colone <br> 42735 divided by 5<br> 42735:5

Two angles are supplementary if their sum is 180°. the larger angle measures five degrees more than four times the measure of a

wlad13 [49]

Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

$y=4x+5$

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

$x+y=180$

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

Substitute $y=4x+5$ into $x+y=180$

$x+y=180$

After substituting, you get

$x+4x+5=180$

Now, combine the x's

$5x+5=180$

Subtract both sides by 5

$5x=175$

Divide both sides by 5.

$x=35$

Now, we can solve for y using the equation $x+y=180$ since we know the value of x.

$35+y=180$

Subtract both sides by 35.

$y=145$

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)

5 0

3 years ago

Please help me with this problem.

masha68 [24]

Answer:

$\sqrt{2}$ is irrational number. It cannot be given as the ratio of two integers.

examples of an irrational numbers: $\sqrt{7}$ , $\sqrt{5}$ , π....

examples of a rational numbers 5, $\frac{7}{4}$ , $\frac{1}{1000}$ ....

Step-by-step explanation:

6 0

3 years ago

Write two different expressions to represent the sale price of a fishing pole, f, after a 20% discount.

Rom4ik [11]

Answer:

When we have a discount of X% of the original price, the new price is calculated as:

New price = (original price) - (original price)*(X%/100%)

In our case, let's define:

P = original price of the fishing pole

f = price of the fishing pole after the discount

X% = 20%

Then the equation for the price of the fishing pole is:

f = P - P*(20%/100%) = P - P*0.2 = P*(1 - 0.2) = P*0.8

f = 0.8*P

This means that the price after the discount is 0.8 times the original price.

7 0

2 years ago

I NEED TO HAND IN NOW!!!

umka21 [38]

Step-by-step explanation:

a)

total no. of pupils is not more than 24

therefore first equation is

(x+y) ≤ 24. ....(1)

No. of girls exceeding the no. of boys by atleast 4

(y-x) ≥ 4. .....(2)

b) Now Liza chooses 8 boys

Maximum no. of girls = ?

Using first inequality

y+8= 24 ( maximum value of less than or equal to function is equal to itself)

Therefore,

y= 24-8

=16

Minimum no. of girls = ?

Using second inequality

y-8 =4 (minimum value of greater than or equal to function is equal to itself)

Therefore,

y= 4+8

y=12

Answer:

a) 2linear inequalities

(x+y) ≤ 24

(y-x) ≥ 4

b) Max no. of girls = 16

Min no. of girls = 12

Hope it helps...

5 0

3 years ago

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

kozerog [31]

Answer: 49.85%

Step-by-step explanation:

Given : The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped ( normal distribution ) and has a mean of 61 and a standard deviation of 9.

i.e. $\mu=61$ and $\sigma=9$

To find : The approximate percentage of lightbulb replacement requests numbering between 34 and 61.

i.e. The approximate percentage of lightbulb replacement requests numbering between 34 and $34+3(9)$ .

i.e. i.e. The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ . (1)

According to the 68-95-99.7 rule, about 99.7% of the population lies within 3 standard deviations from the mean.

i.e. about 49.85% of the population lies below 3 standard deviations from mean and 49.85% of the population lies above 3 standard deviations from mean.

i.e.,The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ = 49.85%

⇒ The approximate percentage of lightbulb replacement requests numbering between 34 and 61.= 49.85%

4 0

2 years ago

Division in colone 42735 divided by 5 42735:5