Question of the day
Jack had lunch with two friends. Their bill for lunch was $29.46.
They want to add a tip of $5.25 and divide the total equally. How
much should each person pay?
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O $4.57
O $9.82
O $11.57
O 17.36

Answer:

x = 4

Step-by-step explanation:

8x – 13 = 3x + 7

add 13 to both sides

8x = 3x + 20

subract 3x from both sides

5x = 20

divide by 5 on both sides

x = 4  

Answer:

¼ hours or 15 minutes

Step-by-step explanation:

let the time it will for laura to catch up with Tony be 't'

Distance = speed × time

Distance corvered by Laura in time (t) = Distance corvered by Tony in time (t) + Distance between Tony and Laura

6×t = 4×t + ½

6t = 4t + ½

2t = ½

t = ¼ hours or 15 minutes

BRAINLIEST PLEASE

Answer:

15 minutes

Step-by-step explanation:

Let Tony is running x distance when Laura catch up him.

Then Laura is running x + 0.5 miles distance .

This motion takes the t time.

Using the equation of the motion ,

s = ut

s - Distance u - velocity t - Time

For Tony's motion

x = 4 × t --------*

For Laura's motion

x + 0.5 = 6 × t ------**

** - * --->

x + 0.5 - x = 6t - 4t

0.5 = 2t

t = 0.25 hours

t = 15 minutes

Answer:

Below

Step-by-step explanation:

The end behavior of a function is how it grows when it reaches both plus and - infinity.

To do that we will calculate:

● lim h(x) x=> +infinity = lim-4x+4 x=> +inf = lim -4x x=> +inf

-4 is negative so the limit will be -infinity

● lim (-4x+4) x=> -inf = lim (-4x) x=> -inf

-4 is negative, x is negative then -4x is positive. So the limit will be + inf

Answer:

Rational

Step-by-step explanation:

A surd is an irrational number. An irrational number refers to any number that can not be written in the form a/b where a and b are integers.

Given √3600, which can be written as √36 × √100 = 6 ×10 = 60.

Hence √3600 is a rational number.

Answer:

right angles and supplementary

====================================================

Explanation:

Add the minutes for now

55 minutes + 10 minutes = 65 minutes = 60 minutes + 5 minutes = 1 hour, 5 minutes

The minute portions add to 1 hour, 5 minutes. The hour portions add to 3+1 = 4.

Add on the "1 hour, 5 minute" portion and we get 5 hours, 5 minutes

This is the total duration of the round trip hike. Keep in mind that this does not include any time spent with Jennifer resting at the top of the mountain. This time duration assumes that once she gets to the top, she pretty much starts the hike back down the mountain.

----------------------------

Now convert 3:45 PM to military time. We add 12 hours to get 15:45

Subtract off 5 minutes to get 15:40

Then subtract off 5 hours to get 10:40, which converts back to 12-hour time notation to be 10:40 AM

Answer:

r= square root of A /π

Step-by-step explanation:

to find the radius with the area

use the formula square root of area/pi

Answer:

2 < x < 3

Step-by-step explanation:

4x - 4 < 8    AND    9x + 5 > 23

4x < 12  AND   9x > 18

x < 3 AND x > 2 so the answer is 2 < x < 3.

  Solve  :    9x-28 = 0

Add  28  to both sides of the equation :

                     9x = 28

Divide both sides of the equation by 9:

                    x = 28/9 = 3.111

Answer:

Step-by-step explanation:

let the rate of travel of bicycle=x m/h

rate of travel of motor scooter=2x+2

time taken by motor scooter to travel 12 mi=12/(2x+2) hrs.

time taken by bicycle to travel 5 mi=5/x

as time is same

[tex]\frac{12}{2x+2}=5/x\\12x=5(2x+2)\\12x=10x+10\\12x-10x=10\\2x=10\\x=10/2=5\\rate~ of~ travel~ of~bicycle=5 m/h\\rate~ of~ travel~ of~ motor~ scooter=2x+2=2 \times 5+2=12 ~m/h[/tex]

Answer:

-30x +20

Step-by-step explanation:

-5(6x-4)

Distribute

-5*6x -5*-4

-30x +20

Answer:

-30x + 20

Step-by-step explanation:

I think you need to expand the brackets

you will need to times -5 with 6x

then times -5 with -4

Answer:

15.25 cm²

Step-by-step explanation:

Step 1: find the width of the rectangle, AE.

[tex] cos(60) = \frac{EA}{8} [/tex]

[tex] 8*0.5 = EA [/tex]

[tex] 4 = EA [/tex]

[tex] EA = 4 cm [/tex]

Step 2: Find the area of the rectangle

[tex] Area_{rectangle} = length * width = 8*4 = 32 cm^2 [/tex]

Step 3: Find the area of the sector.

Take π as 3.14

[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 [/tex]

[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 = 16.75 cm^2 [/tex]

Step 4: Find the area of the shaded region.

Area of shaded region = [tex] Area_{Rectangle} - Area_{sector} = 32 - 16.75 = 15.25 cm^2 [/tex]

Answer: 2^6

Step-by-step explanation:

First, when we have:

x^n

this means that we are multiplicating x by itself n times.

Now, in this case we have:

6 factors of 2 would mean that we have:

(2)*(2)*(2)*(2)*(2)*(2)

2 multiplied by itself 6 times.

This is equal to:

(2)*(2)*(2)*(2)*(2)*(2) = 2^6

Answer:

11.9 in.

Step-by-step explanation:

√142=11.9in

Answer:

Quadrant I

Step-by-step explanation:

Reflection is a type of solid transformation in which an object or a point is flipped with respect to a reference point or plane to produce its image. It changes the orientation of an object, but not its shape and size.

Reflecting the point X across x-axis produces an image in quadrant II. Now, reflecting it across the y-axis would fix its image now in quadrant I.

Therefore, reflecting point X across the x-axis and then y-axis would produce its image in quadrant I.

Answer:

8 hours 37.

800x8= 6400

800x 0.5 (or 30 mins) = 400

6400+400= 6800

one 5th of an hour = 12 minutes.

Answer:

40

Step-by-step explanation:

94 + 125 - 17 / 5

Answer:

18 quarters

Step-by-step explanation:

4.50/.25=18

Answer:

He has 18 quarters

Step-by-step explanation:

Each dollar is equivalent to 4 quarters, and max has $4. Therefore max has 16 quarters. Then you add the 50 cents, which is equivalent to 2 quarters. Now you add the 16to the 2 and you get 18. Max has 18 quarters.

Answer:

It would be 5.

Step-by-step explanation:

3 - 5 is -2, because it goes like this:

-5  -4  -3  -2  -1  0  1  2  3  4  5 (just count down)

Answer:

Each team has 8 players. That means that the x players will be separated into x / 8 teams.

Hope this helps!

Answer:D

Step-by-step explanation:

Answer:

x - 1 a n d - 2 x ^ 2 - 9 x - 7

Answer:

The nth term for the given sequence can be written as:

[tex]a_n=6\,n+1[/tex]

Step-by-step explanation:

Notice that this arithmetic sequence is created by adding to each term a common difference of 6 units:

7 + 6 = 13

13 + 6 = 19

19 + 6 = 25

Then, using the general expression for the nth term of an arithmetic sequence of first term "[tex]a_1[/tex]"  and common difference "d" we can write the nth term as:

[tex]a_n=a_1+(n-1)\,d[/tex]

which in this case translates as:

[tex]a_n=a_1+(n-1)\,d= 7\,+(n-1)\,6=7+6\,n-6=6\,n+1[/tex]

Answer:

Step-by-step explanation:

7,  13,  19,   25, .......

Arithmetic sequence.

First term = a = 7

Common difference = d = second term -  first term

            d = 13 - 7 = 6

nth term [tex]a_{n}=a+(n-1)d\\[/tex]

[tex]a_{n} = 7 +(n-1)*6\\\\\\a_{n}=7 + 6n - 6\\\\\\a_{n} = 1 + 6n[/tex]

Answer:

7) a = 60; b = 100

8) c = 20

9) d = 45

Step-by-step explanation:

7)

a + 120 = 180

a = 60

b + 80 = 180

b = 100

8)

5c + 4c = 180

9c = 180

c = 20

9)

3d + d = 180

4d = 180

d = 45

Answer:

5041

Step-by-step explanation:

Hence the least number that should be subtracted from 5045 to make it a perfect square is 4 . So the perfect square number is = 5045 - 4 = 5041

Answer:

Step-by-step explanation:

We need to add the measurements together to get the answer.

___________________________________________________________

[tex]\frac{4}{5} + \frac{1}{4} + \frac{1}{4} + \frac{3}{5}[/tex]

___________________________________________________________

Since [tex]\frac{1}{4}[/tex] and

___________________________________________________________

[tex]\frac{3}{5} + \frac{4}{5}[/tex] = [tex]\frac{7}{5}[/tex] and [tex]\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}[/tex]

7/5 + 1/2 (we need to find a common denominator to add these)

14/10 + 5/10 = 19/10 or 1 9/10 hours

___________________________________________________________

Answer:

19/10 hours or 1 [tex]\frac{9}{10}[/tex] hours.

Step-by-step explanation:

jog = 4/5 hours

lifting = 1/4 hours

stretching = 1/4 hours

cycling = 3/5 hours

total hours for that week = 4/5 + 1/4 + 1/4 + 3/5 = 19/10 hours or 1 [tex]\frac{9}{10}[/tex] hours.

Step-by-step explanation:

According to rules of Proportionality :

[tex]a = k \frac{b}{ {c}^{2} } [/tex]

(A) When (a = 10, b = 8, c = 2)

K = 5

(B) When (b = 20, c = 5)

[tex]a = 5 \times \frac{20}{25} = 4[/tex]

Answer:

[tex] \sqrt[5]{a^{3} b^{2}c}[/tex]

Step-by-step explanation:

Rationalization factor of [tex] \sqrt[5]{a^2 b^3 c^4} [/tex]

[tex] = \sqrt[5]{a^{5-2} b^{5-3}c^{5-4}}\\

= \sqrt[5]{a^{3} b^{2}c^{1}}\\

= \sqrt[5]{a^{3} b^{2}c}\\ [/tex]

Answer:

y= ½ x + 5

Step-by-step explanation:

[tex] (-4,3) \: (6,8). \\ x_1 = - 4 \\ y_1 = 3 \\ x_2 = 6[/tex]

[tex]y_2 = 8 \\ \frac{y - y_1}{x - x_1} = \frac{y_2 -y_1}{x_2 - x_1} [/tex]

[tex] \frac{y - 3}{x - ( - 4)} = \frac{8 - 3}{6 - ( - 4)} = \frac{y - 3}{x + 4} = \frac{5}{10} [/tex]

[tex]10(y - 3) = 5(x + 4) \\ 10y - 30 = 5x + 20 \: \\ 10y = 5x + 20 + 30 = 10y = 5x + 50 \\ [/tex]

[tex] \frac{10y}{10} = \frac{5}{10} x + \frac{50}{10} \\ y = \frac{1}{2} x + 5[/tex]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line can be written as y = (1/2)x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

To write the equation of the line, we need to firstly find the slope of the equation. Therefore, the slope of the equation can be written as,

Slope = (8 -3)/[6 - (-4)] = 5/10 = 1/2

Now, substitute the value of the slope and the any point in the general equation of a line. Therefore, we can write,

y = mx + c

8 = (1/2)(6) + C

8 = 3 + C

C = 5

Hence, the equation of the line can be written as y = (1/2)x+5.

Learn more about Equation of Line:

https://brainly.com/question/21511618

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Answer:

x = {-5, -⅓}

Step-by-step explanation:

[tex]3 {x}^{2} + 16x + 5 = 0[/tex]

[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]

[tex]3x(x + 5) + 1(x + 5) = 0[/tex]

[tex](x + 5)(3x + 1) = 0[/tex]

[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]

[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]