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luda_lava [24]
3 years ago
6

2 cars leaving Hyland at the same time, one traveling North and the other going South. The 1st car is driving 6 mph faster than

the 2nd car. After 2.5 hours they are 345 miles apart. What is the speed of the 1st car ?

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
4 0
(a+a+6)*2.5=345
2a+6=138
a=132/2
a=66 mph
a+6=66+6=72 mph
Speed of the first car is 72 mph
Gekata [30.6K]3 years ago
4 0
What is the speed of the 1st car ?

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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 p
boyakko [2]

Answer:

  • large: 40 lbs
  • small: 20 lbs

Step-by-step explanation:

A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.

Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...

  L + S = 60 . . . . . . combined weight is 60 lbs

  70L +60S = 4000 . . . . weight of boxes in the truck

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We can solve this by substituting for s in the second equation.

  70L +60(60 -L) = 4000

  10L = 400 . . . . . . . . . subtract 3600, simplify

  L = 40

  S = 60 -L = 20

A large box weighs 40 pounds; a small box weighs 20 pounds.

7 0
3 years ago
The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?
Sliva [168]

Answer:

\huge{ \boxed{ \bold{g =  - 2}}}

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

m =  \frac{y_2 -y_ 1}{x_2 -x_1 }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

\frac{3}{2}  =  \frac{5 -  - 1}{2 - g}  \\  \frac{3}{2}  =  \frac{5 + 1}{2 - g }  \:  \:  \:  \:  \:  \:  \:  \frac{3}{2}  =  \frac{6}{2 - g}  \\  \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\  - 3g = 12 - 6 \\  - 3g = 6 \\  \\  \frac{ - 3g}{ - 3}  =  \frac{6}{ - 3}  \\  \\ g =  - 2

We have the final answer as

<h3>g = - 2</h3>

Hope this helps you

7 0
1 year ago
Find the nth term of this quadratic sequence<br> 4, 7, 12, 19, 28,...
Len [333]

Tn=n²+3

from 4 to 7....the difference is 3, then from 7 to 12 the difference is 5 and from 12 to 19 the difference is 7

therefore we constantly add 2 to the difference

4 0
3 years ago
A bag contains 8 black beads and 4 white beads. If 2 beads are drawn at random, what is the probability that both beads are blac
maria [59]

Answer:

14/33

Step-by-step explanation:

The total amount of beads is 8+4 = 12.  8 of these are black beads, so that is what we want, so 8/12 or 2/3.  For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11.  Multiply this by 2/3 and we get 14/33.

3 0
3 years ago
1, Formalize the following arguments and verify whether they are valid:
kobusy [5.1K]

Answer:

They cannot be attempted from user mode.

Explanation:

We cannot attempt privileged instruction from user mode, only we can attempt from kernel mode because these instructions are exclusive for this mode.

3 0
3 years ago
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