On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of a day did Sylvia spend driving to her cousins house and back?

Given:

An hour before showtime only 105 people have arrived for a concert.

According to sales 95% of the people have yet to arrive.

To find:

The total number of tickets sold.

Solution:

Let x be the total number of tickets sold.

According to sales 95% of the people have yet to arrive.

[tex]100\%-95\%=5\%[/tex]

It means, only 5% people have arrived.

[tex]\dfrac{5}{100}x=105[/tex]

[tex]\dfrac{1}{20}x=105[/tex]

[tex]x=105\times 20[/tex]

[tex]x=2100[/tex]

Therefore, the total 2100 tickets were sold.

Answer:

all right trigangles must have a 90 degress angle

Step-by-step explanation:

no

Answer:

40% of the fruit in the bowl are oranges.

Step-by-step explanation:

12/30=0.4

Given:

The terms of a sequence are given by

[tex]a_n=-1-4n[/tex]

To find:

The 100th term of the sequence.

Solution:

We have,

[tex]a_n=-1-4n[/tex]

Putting n=100, we get

[tex]a_{100}=-1-4(100)[/tex]

[tex]a_{100}=-1-400[/tex]

[tex]a_{100}=-401[/tex]

Therefore, the 100th term of the given sequence is -401.

Answer:

if line p is going through the middle x is equal to 5

15.6 is the measure of the hypotenuse of the square.

A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.

Given that one side of the square is 11.

The diagonal is the hypotenuse of the square.

Since square have equal sides, the hypotenuse can be obtained using Pythagorean theorem.

i.e. 11² + 11² = (hypotenuse)²

i,.e. (hypotenuse)² = 121+121 =242

Therefore, hypotenuse = √242 = 15.6

Hence, the measure of the hypotenuse of the square is 15.6

To learn more about square, use the link given below:

https://brainly.com/question/11800577

#SPJ2

Answer:

Step-by-step explanation:

Given the system:

Substitute y and solve for x:

Find y:

Solution is (3, 1.5)

Answer:

$12

Step-by-step explanation:

$30 x .40 = $12

Answer:

[tex]\displaystyle m=\frac{6}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, 6)

Point (-16, -18)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

57.50+4x=75.10

x=4.4

So she can use up to 4.4 gigabytes of data

Answer:

2(2x + 1)

Step-by-step explanation:

4x = 2 * 2x

2 = 2 * 1

Answer:

24 m square

1,440 RS

Step-by-step explanation:

Volume is height x area

600= 5 x area => area = 600/5 = 24 m2

24 sqm x 60 RS/ sqm = 1,440 RS

Answer:

cos0 = 1

cos90 =0

so a for the first one and d for the other

Answer:

The answer is -1

Step-by-step explanation:

:)

Answer:

D

O

N

T

KNOW

Step-by-step explanation:

Y

O

U ARE

W

E

L

C

O

M

E

Given:

Point V is located at (-5,3) on the coordinate plane.

It is reflected over the y-axis to create point V'.

Point V' is then reflected over the x-axis to create point V''.

To find:

The location of point V''.

Solution:

We have,

Point V= (-5,3)

If point V reflected over the y-axis, then

[tex](x,y)\to (-x,y)[/tex]

[tex]V(-5,3)\to V'(5,3)[/tex]

If point V' reflected over the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]V'(5,3)\to V''(5,-3)[/tex]

Therefore, the ordered pair (5,-3) describes the location of V''.

Answer:

5,3

Step-by-step explanation:

Point VV is located at (-4,6)(−4,6) on the coordinate plane. Point VV is reflected over the xx-axis to create point V'V

′

. What ordered pair describes the location of V'?V

′

?

Answer:

Step-by-step explanation:

Answer:

[tex]y<-2x+6[/tex]

Step-by-step explanation:

The boundary line of a linear inequality passes through the points (3, 0) and (0, 6).

The points (3, 0) and (2, 6) are not solutions of the inequality.

We want to find the equation of the linear inequality.

First, we will simply find the line that crosses the points (3, 0) and (0, 6).

We can determine the slope to be:

[tex]\displaystyle \frac{6-0}{0-3}=\frac{6}{-3}=-2[/tex]

Notice that (0, 6) is the y-intercept.

Then by the slope-intercept form:

[tex]y=mx+b[/tex]

Our equation will be:

[tex]y=-2x+6[/tex]

Now, we will need to determine our inequality sign.

First, (3,0) is on the boundary line yet it is not a solution. Therefore, our line is dotted. That is: we do not have the "or equal to" statement.

So, our inequality signs can only be either < or >.

We are given that (2, 6) is not a solution.

So, we can test for the sign. Substitute 2 for x and 6 for y:

[tex]\displaystyle 6\text{ }?\text{ }-2(2)+6[/tex]

Evaluate:

[tex]\displaystyle 6\text{ } ?\text{ } 2[/tex]

Since 6 is not a solution, the above statement needs to be false.

It will be false is the sign is <, since 2 is not greater than 6.

Therefore, our sign is <.

And our inequality is:

[tex]y<-2x+6[/tex]

The simplified version of this x-2z

Step-by-step explanation:

You need to start by combining like terms. You can start with the terms that have the variable x in them. By combining those terms, the equation becomes x+3y-z-3y-z.

From here, you can combine the terms 3y and -3y, which bring the equation to x-z-z.

From here, combine the terms with the variable z. This would bring the equation down too x-2z, your final answer.

Answer:

$41500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year,

putting time into years for simplicity,

3 months ÷ 12 months/year = 0.25 years,

then, solving our equation

I = 40000 × 0.15 × 0.25 = 1500

I = $ 1,500.00

The simple interest accumulated

on a principal of $ 40,000.00

at a rate of 15% per year

for 0.25 years (3 months) is $ 1,500.00.

Answer:

7:2

Step-by-step explanation:

Answer:

7:2

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

5w+2

Substitute w as 3

5(3)+2

Multiply

15+2

Add

17

I hope this helps!