The convex polygon below has 6 sides. Find the value of x.

The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they

satela [25.4K]

Answer:

Total cost= $86.25

Step-by-step explanation:

Giving the following information:

Discount= 10%

Nill= $82.5

Tip= 15%

First, we need to calculate the discounted price:

Discount price= 82.5 / 1.1= $75

Now, the tip:

Tip= 75*0.15= $11.25

Finally, the total cost:

Total cost= 75 + 11.25

Total cost= $86.25

3 0

3 years ago

In a pre algebra class containing 40 students, there are 18 freshmen, 19 sophomores, and 3 juniors. What fraction of the class a

dezoksy [38]

$\frac{9}{20}$ of the class consists of freshmen.

Step-by-step explanation:

Given,

Total number of students = 40

Number of freshmen = 18

Number of sophomores = 19

Number of juniors = 3

Fraction of freshmen = $\frac{Number\ of\ freshmen}{Total\ number\ of students}$

Fraction of freshmen = $\frac{18}{40}$

Fraction of freshmen = $\frac{9}{20}$

$\frac{9}{20}$ of the class consists of freshmen.

Keywords: fraction, division

Learn more about fractions at:

#LearnwithBrainly

7 0

3 years ago

What are the solutions of the quadratic equation? 4x^2+34x+60=0

insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^{2} +34x+60=0$

so

$a=4\\b=34\\c=60$

substitute in the formula

$x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}$

$x=\frac{-34(+/-)\sqrt{196}} {8}$

$x=\frac{-34(+/-)14} {8}$

$x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}$

$x_2=\frac{-34(-)14} {8}=-6$

6 0

3 years ago

A scientist finds the distances d that two snakes travel in a time of t seconds. the equation 16t = d represents the relationshi

wlad13 [49]

From the equation given, the time for the black mamba snake to cover distance d, will be d/16 while that for the the rought-scaled snake would be d/1.5.
Assume that the distance covered by both snakes is 200 meters;
Then,
Time taken by the black mamba is 200/16 = 12.5 seconds, and
Time taken by the rought-scaled snake is 200/1.5 = 133.33 seconds
Clearly the black mamba is faster at 12.5 seconds compared with the rought-scaled snake.

4 0

3 years ago

What are the next three terms in the pattern 2, 6, 18, 54, ...?

castortr0y [4]

Answer:

OPTION B: 162, 486, 1458

Step-by-step explanation:

The given sequence is 2, 6, 18, 54, . . .

It is a geometric sequence and the common difference is 3.

The general form of a geometric sequence is: a, ar, ar², ar³, . . .

Here a = 2 and r = 3.

$n^{th}$ term of a Geometric progression is $ar^{n - 1}$ .