A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 9 miles due north to his place of work. If the road was made as described above, how much shorter would the man’s one-way trip be every day?

Answer:

The easiest approach is to realise that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.

215 of a mile, in 20 minutes, how much in 60 minutes?#

They will pave 3 times more.

215×31=615 of a mile

615=25 of a mile

You could also use the 'unitary method' where you find out how much they pave in ONE minute (divide by 20) and them multiply by 60 to find how much in one hour.

Look at what happens:

215÷20×60

=215×120×603

=215×3 ← exactly the same maths.

=25

Answer:

36 = one half x + 12

Step-by-step explanation:

let : Francesca's times = x

according to the text, we can make the equation :

12 + (one half) x = 36

or 36 = one half x + 12

The equation for the given situation is 36=1/2 x+12. Therefore, option D is the correct answer.

Given that, Riley's commute on the train takes 12 minutes more than one-half as many minutes as Francesca's commute by car. It takes Riley 36 minutes to get to work.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the time taken by  Francesca's commute by car be x.

Now, 12 minutes more than one-half=1/2 x+12

According to the question, 36=1/2 x+12

The equation for the given situation is 36=1/2 x+12. Therefore, option D is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/11837450.

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[tex]\\ \rm\longmapsto \overline{z}=-(z)[/tex]

[tex]\\ \rm\longmapsto \overline{z}=-(x+iy)[/tex]

[tex]\\ \rm\longmapsto \overline{z}=-(\sqrt{3}+2)[/tex]

[tex]\\ \rm\longmapsto \overline{z}=-\sqrt{3}-2[/tex]

Answer:

3/10

Step-by-step explanation:

Take the number of pizzas and divide by the number of people

3 pizzas / 10 people

Each person got 3/10 of a pizza

Answer:

[tex] \frac{3}{10} [/tex]

Step-by-step explanation:

[tex] \frac{pizza}{number \: \: of \: \: \: people} \\ \frac{3}{10} [/tex]

Each person received 3/10 of pizza

Answer:

186 [tex]in^{2}[/tex]

Step-by-step explanation:

6*3=18

18*2=36

7+3=10

15*10=150

150+36=186

Answer:

A constant or the product of a constant and one or more variables is called a coefficient.

Answer:

perform a randomized, controlled experiment

Step-by-step explanation:

Answer:

Undercast refers to a forecasting error when estimated numbers turn out to be lower than realized numbers. The estimates that are valued can include sales, expenses, income, cash flows, or any other financial account or metric.

Step-by-step explanation:

স্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰা

Answer:

(14,-8)

Step-by-step explanation:

Given (6,-1),

Translating (6,-1) 8 units right and 7 units down,

(6,-1)

=(6+8,-1-7)

=(14,-8)

Please mark brainliest.

Answer:

you would add 3x+2 and 6x-4

9x -2 is the length

Step-by-step explanation:

Answer:

if you scored a 83 on every test in a class your standard deviation would be 0. The point is that the bigger the standard deviation the more "variation" you will find in the raw numbers.... "D" (international equities) is the answer to this question...

it has the highest percent for the standard deviation, this it is the

MOST IN-COSISTENT

Step-by-step explanation:

Step-by-step explanation:

steps are in picture above.

Note:if you need to ask any question please let me know.

Answer:

opt. 2

Step-by-step explanation:

take (4,0) as solution

0= -1/2(4)+2

  = -2+2 = 0

Answer:

https://wb-qb-sg-oss.bytededu.com/mars_api/516070e015af3cbddbf0c9527d422fd6/1624892212752.jpeg!content

Step-by-step explanation:

If the section is created by slicing the equation 2x² + 2xy + 5y² + 6x - 4y = 40 at 45°. Then the conic will be an ellipse.

A figure made up of a surface and a round cone intersecting. A conic section can be a circle, an ellipse, a parabola, or a hyperbola, based on the direction of the plane with regard to the cone.

The angle θ is 45° and the equation is 2x² + 2xy + 5y² + 6x - 4y = 40.

Then x will be

[tex]\rm x = x' \cos \theta - y' \sin \theta\\\\x = x' \cos 45- y' \sin 45\\\\x = \dfrac{x' - y'}{\sqrt2}[/tex]

Then y will be

[tex]\rm y = x' \sin \theta + y' \cos \theta\\\\y= x' \sin 45 + y' \cos 45\\\\y = \dfrac{x' + y'}{\sqrt2}[/tex]

Put these in the equation we have

[tex]\rm 2\left ( \dfrac{x' - y'}{\sqrt2} \right )^2 + 2\left ( \dfrac{x' - y'}{\sqrt2} \right )\left ( \dfrac{x' + y'}{\sqrt2} \right ) + 5 \left ( \dfrac{x' + y'}{\sqrt2} \right )^2+ 6\left ( \dfrac{x' - y'}{\sqrt2} \right ) - 4\left ( \dfrac{x' + y'}{\sqrt2} \right ) = 40[/tex]

On simplifying, we have

[tex]\rm 9x'^2 + 6x'y' + 5y'^2 + 10\sqrt2x' - 10 \sqrt2 y' - 80=0[/tex]

Then the value of a, b, and c will be

a = 2, b = 2, and c = 5

Then we have

[tex]\rm b^2 - 4ac = 2^2 - 4\times 2 \times 5 = 4 - 20 = -16[/tex]

Then b² - 4ac < 0, then the conic is ellipse.

More about the conic section link is given below.

https://brainly.com/question/10311514

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Answer:

Step-by-step explanation:

1. 20

2. 100

3. 25

4. 45

5. 50

6. 54

7. 80

8. 192

9. 33

10. 128

Answer:

A

Step-by-step explanation:

in step 1, when expanding the bracket, ken needed to do 2×5y AS WELL as 2×-1 which they didn't do. the correct answer after the first step should be 10y-2=18

Step-by-step explanation:

d=2r.

50=2r

r=50/2

r=25cm.

circumference of circle =2πr

=2×22/7×25

=157cm(approx)

area of circle=πr²

=22/7×(25)²

=704cm

Answer:

The first number: 11;

The second number: 22;

The third number: 33

Step-by-step explanation:

The first number: 11

The second number: 11 x 2 = 22

The third number: 11 x 3 = 33

11 + 22 + 33 = 66

Answer:

11 and 22

Step-by-step explanation:

let the first number ne x then second is 2x and third is 3x and sum is

x + 2x + 3x = 66 , that is

6x = 66 ( divide both sides by 6 )

x = 11

2x = 2 × 11 = 22

first number is 11 and second number is 22

Answer:

7

Step-by-step explanation:

x + 8 = 15

Subtracting 8 from both sides,

x = 15 - 8

=> x = 7

Answer:

2300

Step-by-step explanation:

when rounding 2259 to the nearest hundred look at the digit in the tens place, if the number is 5 or higher, you round up to 2300, if its 4 or less, you round down to 2200. hope this helps!

Answer:

(-1,1)

Step-by-step explanation:

First split it into 2 functions, when x≥0 let f1(x)=x1+x and when x<0 let f2(x)=x1−x now we have 2 functions that are continuous on their domains.

Step-by-step explanation:

they are all just trignometric formulas

Answer:

201.13

Step-by-step explanation:

9514 1404 393

Answer:

  y = -2

Step-by-step explanation:

The horizontal asymptote is given by the ratio of the two highest-degree terms of numerator and denominator:

  y = -2x/x = -2

Answer:

a on edguty

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

[tex]3( \frac{7}{5}x + 4) - 2( \frac{3}{2} - \frac{5}{4} x) \\ \\ \frac{21}{5} x + 12 - 3 + \frac{5}{2} x \\ \frac{21}{5} x + \frac{5}{2} x + 9 \\ \frac{67}{10}x + 9[/tex]

Step-by-step explanation:

14. 8

15. 60

16. 42

17. 45

18. 2

19. 8

20. 13

21. 18

o 14 . —> 8

o 15. —> 60

o 16 . —> 42 ( not 43 )

o 17. —> 45

o 18. —> 2

o 19. —> 8 (not 4 )

o 20. —> 13

o 21 —> 18 (not 12)

I hope I helped you^_^