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3 years ago

What is the y-intercept of the equation 2x + 3y=12? -2/3 12 6 4

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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Dana has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the ra

Sedaia [141]

Answer:

2hrs 40 minutes

Step-by-step explanation:

The formula for distance is expressed as:

$d=st, s=speed, t=time$

#The time taken to run:

$d=st\\\\t=d/s\\\\t_r=d/8$

#The time taken to walk:

$d=st\\\\t=d/s\\\\t_w=d/2$

#Since the distances are the same:

$d_r=8t_r,d_w=2t_w\\\\8t_r=2t_w\\\\t_r+t_w=4->t_w=4-t_r\\\\\therefore8t_r=2(4-t_r)\\\\8t_r=8-2t_r\\\\t_r=1\frac{1}{3} \hrs\\\\t_w=4-1\frac{1}{3}=2\frac{2}{3}\ hrs$

Hence, Dana spends 2hrs 40 minutes walking back

8 0

3 years ago

Point M is the midpoint of AB¯¯¯¯¯¯¯¯. Find the length of AB¯¯¯¯¯¯¯¯.

alina1380 [7]

Answer:

AB = 142

Step-by-step explanation:

If M is the midpoint, then AM = MB

6x+5 = 7x -6

Subtract 6x from each side

6x-6x+5 = 7x-6x -6

5 = x-6

Add 6 to each side

5+6 = x-6+6

11=x

We want to find AB

AB = 6x+5+7x-6

AB = 13x -1

= 13(11) -1

=143-1

= 142

6 0

3 years ago

Share a reward of $140 in a ratio of 2:5

storchak [24]

So first we divide 140 by 7 because our ratio is a total of 7 dollars to get 20
So we multiply both sides of the ratio by 20 to get a ratio of 40:100
We can check our answer and it is right because 100+40=140

3 0

3 years ago

Beth us buying 2.6 pounds of coffee beans. If the coffee costs 6.79 per pound, how much will she pay? Round to the nearest cent.

worty [1.4K]

2.6*6.79= 17.654

Rounded to nearest cent: 17.65

6 0

3 years ago

What does x/4=3/2 equal?

MrRissso [65]

x/4 = 3/2
x/2 = 3 (multiply both sides by 2)
x = 6 (multiply both sides by 2)
Therefore 6/4 = 3/2

6 0

3 years ago