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USPshnik [31]
3 years ago
9

Roger can shovel his family's driveway in 1 hour. His older sister, Alexis, can shovel the driveway in 1/2 hour. If they work to

gether, then how many minutes will it take them to shovel the driveway?
Mathematics
2 answers:
sukhopar [10]3 years ago
8 0

Answer:

40 min

Step-by-step explanation:

his sister can do it twice as fast so the boy does 1 and the sister does 2. he will do 1/3 of the work and it will take 1/3 of the time

eduard3 years ago
4 0

Answer:

90 mins

Step-by-step explanation:

1 hour =60 mins

1/2 hour = 60/2=30

so, 60 +30=90

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artcher [175]
I believe believe 57
4 0
3 years ago
A test is worth 50 points. Multiple- choice questions are worth 1 point, and short answer questions are worth 3 points. if the t
bagirrra123 [75]
Correct answer is C. 
m + 3s = 50 
the total number of questions is 20. since the paper is made of only multiple choice and short answer questions, the sum of the multiple choice and short answer questions should be 20.
since multiple choice is 'm' and short answer is 's'
then m + s = 20
but theres no option for that 
if we take the number of points 
points for 1 multiple choice question - 1
then points for m number of multiple choice questions = 1 * m = m
points for 1 short answer - 3
then points for s number of short answer question = 3 * s = 3s
then total number of points = m + 3s
and the total number of points = 50
therefore 
m + 3s = 50
this is the correct answer C.
3 0
3 years ago
Read 2 more answers
PLEASE SOLVE 20 POINTS
Soloha48 [4]

Answer:

1. Not possible. The slope of such a line is undefined. Its equation is x=7.

2. y = 3x -2

3. The slope is undefined. (The line is a vertical line.)

Step-by-step explanation:

1. The y-axis is a vertical line. Computing the slope of such a line involves division by zero, an operation that is undefined. Since the line is parallel to the y-axis, there is no y-intercept.

In slope-intercept form, the equation would be useless:

... y = (undefined)x + (no such value)

If your point is supposed to be (7, 8)*, the more useful equation is the "standard form" equation:

... x = 7

2. The slope of the perpendicular line is the negative reciprocal of this:

... m = -1/(-1/3) = 3

In point-slope form, the equation of the perpendicular line through the given point is ...

... y = 3(x -2) +4

... y = 3x -2 . . . . . . . . simplified to slope-intercept form

3. The slope is computed from ...

... m = (change in y)/(change in x) = (-3 -4)/(-1 -(-1)) = -7/0 = undefined

The slope is undefined. This tells you the line is a vertical line. Its location is the x-value of the points, ...

... x = -1

_____

* If your point is really (77, 88), then the line has equation x = 77.

8 0
3 years ago
Read 2 more answers
Find an equation of the plane through the point (−5,−1,2) with normal vector ????=⟨−1,−5,2⟩.
Ganezh [65]

Answer:

x + 5y - 2z + 14 = 0

Step-by-step explanation:

A plane that passes through the point (x_{0}, y_{0}, z_{0}) with a normal vector of (a,b,c) has the following equation, initially:

a(x - x_{0}) + b(y - y_{0}) + c(z - z_{0}) = 0

After we solve this, we have

ax + by + cz + d = 0

In this problem, we have that:

(x_{0}, y_{0}, z_{0}) = (-5,-1,2)

(a,b,c) = (−1,−5,2)

So

a(x - x_{0}) + b(y - y_{0}) + c(z - z_{0}) = 0

-1(x - (-5)) - 5(y - (-1)) + 2(z - 2) = 0

-(x + 5) - 5(y + 1) + 2(z - 2) = 0

-x - 5 - 5y - 5 + 2z - 4 = 0

-x - 5y + 2z - 14 = 0

Multplying everything by -1

x + 5y - 2z + 14 = 0

3 0
3 years ago
Five times the sum of three times a number and 4 is -10, find the number.
Minchanka [31]

Answer:

-2

Step-by-step explanation:

5[3x+4)]=-10

15x+20= -10

15x=-30

x= -2

5 0
3 years ago
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