7. Francis made 7 withdrawals of
$75 each from his bank account.
What was the overall change in
his account?

Given:

Superman is working at Daily Planet Newspaper P(100, 40).

Bank robbery at B(40,80).

Criminals to jail at C(130, 105).

Then fly back to the Daily Planet.

To find:

The total distance for the trip.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between Daily Planet Newspaper P(100, 40) and place of bank robbery at B(40,80) is

[tex]PB=\sqrt{(40-100)^2+(80-40)^2}[/tex]

[tex]PB=\sqrt{(-60)^2+(40)^2}[/tex]

[tex]PB=\sqrt{3600+1600}[/tex]

[tex]PB=\sqrt{5200}[/tex]

[tex]PB=20\sqrt{13}[/tex]

Similarly,

Distance between place of bank robbery at B(40,80) and jail at C(130,105) is

[tex]BC=\sqrt{\left(130-40\right)^2+\left(105-80\right)^2}[/tex]

[tex]BC=5\sqrt{349}[/tex]

Distance between jail at C(130,105) and Daily Planet Newspaper P(100, 40) is

[tex]CP=\sqrt{\left(100-130\right)^2+\left(40-105\right)^2}[/tex]

[tex]CP=5\sqrt{205}[/tex]

Total distance for the trip = PB+ BC +CP

[tex]Trip=2\sqrt{13}+5\sqrt{349}+5\sqrt{205}[/tex]

[tex]Trip=7.2111+93.4077+71.5891[/tex]

[tex]Trip=172.2079[/tex]

[tex]Trip\approx 172.21[/tex]

Therefore, the total distance for the trip is about 172.21 units.

Answer:

h

Step-by-step explanation:

Do you mean, what's the base in "-(-6)^5

If so it's -6!

Answer:

89/3x

Step-by-step explanation:

Use Marhway for these types of problems

Answer:

0.31 is greater than 0.039

Step-by-step explanation:

Answer:

the answer is 486

Step-by-step explanation:

Answer:

The correct choice is D.

Answer:

[tex]2x^5-9x^4+0x^3-2x^2+0x+10[/tex]

Step-by-step explanation:

A polynomial is in standard form when its terms are ordered from highest to lowest degree.

If the polynomial is missing terms, it must be completed by setting their coefficients to 0.

The given polynomial is:

[tex]2x^5-9x^4-2x^2+10[/tex]

The terms are ordered, but it's incomplete. The terms with exponent 3 and 1 must be included with zero coefficient.

Thus the polynomial in standard form is:

[tex]\boxed{2x^5-9x^4+0x^3-2x^2+0x+10}[/tex]

Answer:4

Step-by-step explanation: 1x2x1x2

Answer: it would be 2

Step-by-step explanation:

Answer:

5. 4

6. 1

7. 2

8. -1

Step-by-step explanation:

Coefficient is usually the whole number in the beginning. I believe 5-7 are correct. I'm a little iffy about 8. Good luck!

Answer:

The last two options.

Step-by-step explanation:

y=2x+4 (replace the x with 1) y=2(1)+4  Y=6

y= 2x+4 replace the x with 2) y= 2(2)+4  Y= 8

So the y coordinate can be 6 or 8.

(x,y)

ANSWER: (1,6) and (2,8)

HOPE THIS HELPS!!!

Answer:

last two options

Step-by-step explanation:

if x=1

2*1+4=6

if x=2

2*2+4=8

Answer:

Line A and Line C are parallel.

Step-by-step explanation:

Answer:

n= -32

Step-by-step explanation:

Answer:

2935027

Step-by-step explanation:

Answer: 11!

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

15/5=3

20/5=4

Answer:

A. 1/2

Step-by-step explanation:

rise over run

up 1, to the right 2

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{x}{2}[/tex] ≥ - 4 ( multiply both sides by 2 to clear the fraction )

x ≥ - 8

Answer- 4 am guessing I am not quite sure tho

Answer:

9.6 x 10 7 km

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

Answer: 1/36

Step-by-step explanation:

1/6*1/6

Answer:5:6

Step-by-step explanation:

Answer:

Two or more equations that share variables.

Step-by-step explanation:

Example:two equations that share the variables x and y:

x + y = 6

−3x + y = 2

Answer:

-2=3x

Step-by-step explanation:

Answer:

-2=3x

Step-by-step explanation:

Answer:

y =-x-3

Step-by-step explanation:

slope intercept/ y-intercept form is y=mx+b

you have to isolate y here

x+y=-3      subtract x from both sides

y=-x-3

Answer:

19040 grams

Step-by-step explanation:

Dan used the amount of flour each day = 0.68 kg

He used the flour for 4 weeks.

So the number of days taken by Dan = 4 × 7 = 28 days

Now amount of flour used in 28 days = Flour used in a day × Number of days

= 0.68 × 28

= 19.04 kg

Since 1 kg = 1000 grams

Therefore, 19.04 kg = 1000 × 19.04 = 19040 grams

Dan used 19040 grams of flour in 4 weeks.

The number of grams of flour that was used is 19040 grams.

Since Dan used 0.68 kilogram of flour each day for 4 weeks, this means that the flours used will be:

= 0.68 × 4

= 2.72kg

Therefore, 2.72kg will be converted to grams and this will be:

= 2.72 × 1000 = 2720 grams

Now, we'll multiply the value by 7 since there are 7 days in a week. This will be:

= 2720 × 7 = 19040

Read related link on:

https://brainly.com/question/17025675

Answer:

21

Step-by-step explanation:

13 + 4(9-7) =

13 + 4(2) =

13 + 8 = 21

Answer:

21 hope this helps

Step-by-step explanation:

[tex]6 - 3x = 5x - 10x + 6[/tex]

[tex]6 - x = - 5x + 6[/tex]

[tex]6 + 5x = 6 - 3x[/tex]

[tex]6 = 6 - 3x + 5x[/tex]

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

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

[tex]2x = 0[/tex]

Product of two numbers is equal to 0 if at least one of them is 0 . Since 2 is not equal to 0 , x must be equal to 0 .

Which means :-

[tex]x = 0[/tex]

Therefore , the value of x = 0.

Answer:

8/10, 12/15, 16/20

Step-by-step explanation:

Answer:

B) p<5

Step-by-step explanation:

Answer:

Ordered Pair An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Step-by-step explanation:

i hope this helped! :)

Answer:

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

Step-by-step explanation: