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3 years ago

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Biking at 12 mph, it takes Kristen hour to reach the train station to go to work. Kristen then takes the train to work, and it t

akes another hour for her to get to work when the train travels 20 mph. How far does Kristen travel to work?

1 answer:

LenKa [72]3 years ago

4 0

Answer:

d = 19 mi

Step-by-step explanation:

Total dist = bike dist + train dist

d = 12(.5) + 20(.5)

d = 6 + 13

d = 19 mi

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Help me plz it’s confusing

Alja [10]

X+8>= 18
therefore, the circle has to be on ten, (solid) and an arrow pointing to the right,
10+8>=18 which is true.

-7+x>= -8
the circle is going to be on -1, (solid) and pointing to the right.
-7 +-1 (-8) >=-8 which is true, then -7 +0>= -8 which is true
n-2<=4 so, the answer is a dot (solid) on 6 pointing to the left
6-2 (4) <=4 then 5-2 (3) <= 4 which both are true

-18+n<-7
so this answer is going to be on 10, and it will be a hollow dot, pointing to the left
-18+10 (-8) <-7 which is true
n-4>=13
so, this has to be greater than or equal to 13.
n must be greater than or equal to 17 (add 4 to both sides) so the dot (solid) is going to be on 17 and pointing to the right.

NOTICE: I had a different explanation for number 9, which is how I figured each one out.
Hope this helped! Sorry it took so long!

5 0

3 years ago

Please help me with this

denis23 [38]

Answer:

20) $\displaystyle [4, 1]$

19) $\displaystyle [-5, 1]$

18) $\displaystyle [3, 2]$

17) $\displaystyle [-2, 1]$

16) $\displaystyle [7, 6]$

15) $\displaystyle [-3, 2]$

14) $\displaystyle [-3, -2]$

13) $\displaystyle NO\:SOLUTION$

12) $\displaystyle [-4, -1]$

11) $\displaystyle [7, -2]$

Step-by-step explanation:

20) {−2x - y = −9

{5x - 2y = 18

⅖[5x - 2y = 18]

{−2x - y = −9

{2x - ⅘y = 7⅕ >> New Equation

__________

$\displaystyle \frac{-1\frac{4}{5}y}{-1\frac{4}{5}} = \frac{-1\frac{4}{5}}{-1\frac{4}{5}}$

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_______________________________________________

19) {−5x - 8y = 17

{2x - 7y = −17

−⅞[−5x - 8y = 17]

{4⅜x + 7y = −14⅞ >> New Equation

{2x - 7y = −17

_____________

$\displaystyle \frac{6\frac{3}{8}x}{6\frac{3}{8}} = \frac{-31\frac{7}{8}}{6\frac{3}{8}}$

$\displaystyle x = -5$ [Plug this back into both equations above to get the y-coordinate of 1]; $\displaystyle 1 = y$

_______________________________________________

18) {−2x + 6y = 6

{−7x + 8y = −5

−¾[−7x + 8y = −5]

{−2x + 6y = 6

{5¼x - 6y = 3¾ >> New Equation

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$\displaystyle \frac{3\frac{1}{4}x}{3\frac{1}{4}} = \frac{9\frac{3}{4}}{3\frac{1}{4}}$

$\displaystyle x = 3$ [Plug this back into both equations above to get the y-coordinate of 2]; $\displaystyle 2 = y$

_______________________________________________

17) {−3x - 4y = 2

{3x + 3y = −3

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$\displaystyle \frac{-y}{-1} = \frac{-1}{-1}$

$\displaystyle y = 1$ [Plug this back into both equations above to get the x-coordinate of −2]; $\displaystyle -2 = x$

_______________________________________________

16) {2x + y = 20

{6x - 5y = 12

−⅓[6x - 5y = 12]

{2x + y = 20

{−2x + 1⅔y = −4 >> New Equation

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$\displaystyle \frac{2\frac{2}{3}y}{2\frac{2}{3}} = \frac{16}{2\frac{2}{3}}$

$\displaystyle y = 6$ [Plug this back into both equations above to get the x-coordinate of 7]; $\displaystyle 7 = x$

_______________________________________________

15) {6x + 6y = −6

{5x + y = −13

−⅚[6x + 6y = −6]

{−5x - 5y = 5 >> New Equation

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_______________________________________________

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_______________________________________________

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{−x + y = 3

−⅓[−3x + 3y = 4]

{x - y = −1⅓ >> New Equation

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$\displaystyle 1\frac{2}{3} ≠ 0; NO\:SOLUTION$

_______________________________________________

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{−5x + y = 19

⅛[−3x - 8y = 20]

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__________

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_______________________________________________

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I am delighted to assist you anytime my friend!

7 0

3 years ago

X — бу + 2x = 5 2x – 3y+z = 4 3х +4y - z = -2

icang [17]

Solve the following system of equations for x: 4x + 6y = 68 2x + 6y = 76 A. x = - 14 B. None of these. C. x = - 4 D. x = 14 E. x = 4
Top answer · 3 votes
option C is correct More

7 0

3 years ago

An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days, a

JulsSmile [24]

Answer:

There was no error

Step-by-step explanation:

There are two types of statistical errors, the type 1 error and the type 2 error. In this case we refute the null hypothesis when the hypothesis is, in fact, false, because the mean process is 9 days instead of 7. Therefore we made no errors.

If the null hypothesis were True, a type 1 error would have ocurred. If the null hypothesis were false and we didnt refute it, then a type 2 error would have ocurred.

4 0

3 years ago

PLease help me on this one? <3

MariettaO [177]

Answer:

A. (1, 0)

Reason:

When the first equation is graphed: y <u><</u> x + 1, the left side of the line is shaded and when the second equation is graphed: y <u><</u> x^2 -3x, the bottom is shaded.

The green section does not contain solutions. So D is automatically out.

The red section does not contain solutions as well. So C is automatically out.

For choice B, the point goes out of the shaded blue section, so that's out also.

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6 0

3 years ago