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madam [21]
3 years ago
10

Karina travels 70 miles at an average speed of 50 mph.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer:

38.60 mph

Step-by-step explanation:

Average speed = total distance / total time

44 mph = (70 mi + 60 mi) / t

t = 2.95 hr

The time spent during the first 70 miles is:

d = rt

70 mi = (50 mph) t

t = 1.4 hr

So the time spent during the last 60 miles is:

t = 2.95 hr − 1.4 hr

t = 1.55 hr

So the average speed during the last 60 miles is:

d = rt

60 mi = r (1.55 hr)

r = 38.60 mph

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-3x+3y=12<br> Y=x+4<br> Whats the soultion
lisov135 [29]

The system of equations has infinitely many solutions

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

-3x + 3y = 12 ------- eqn 1

y = x + 4 --------- eqn 2

We have to find the solution to the system of equations

We can use substitution method

Substitute eqn 2 in eqn 1

-3x + 3(x + 4) = 12

-3x + 3x + 12 = 12

-3x + 12 = -3x + 12

If we have terms with same terms on both sides of equal sign, then we have infinitely many solutions

Thus the system of equations has infinitely many solutions

5 0
3 years ago
Can someone help me on this?!
umka21 [38]

9514 1404 393

Answer:

  D.  3 to 4

Step-by-step explanation:

The ratio ...

  blueberries : strawberries = (1/2) : (2/3)

can be changed to a ratio of integer by multiplying by the least common denominator: 6.

  = 6(1/2) : 6(2/3) = 3 : 4

7 0
2 years ago
Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They h
Natalka [10]

Solving the inequality, it is found that the correct interpretation of the solution is:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

The amount x of miles they can still travel is modeled by the following inequality:

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To solve it, we treat it similarly to an equality, hence:

x \leq 304 - 221

x \leq 83

Hence:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

A similar problem is given at brainly.com/question/11713066

5 0
2 years ago
In one minute, Evan can do nine less than four times the number of push-ups that Lucy can do. if they did 61 push-ups in all, ho
vagabundo [1.1K]

Evan does 33 more push-ups than Lucy

let x be the number of push-ups Lucy does , then

Evan does 4x - 9 push-ups

The total number of push-ups is 61

hence x + 4x - 9 = 61 has to be solved

that is 5x - 9 = 61

add 9 to both sides

5x = 61 + 9 = 70

divide both sides by 5

x = \frac{70}{5} = 14

Lucy does 14 push-ups and Evan does 4x - 9 =(4 × 14) - 9 = 47

Thus Evan does 47 - 14 = 33 more push-ups than Lucy

7 0
3 years ago
What is the value of (Negative 1/2)–4?
Stella [2.4K]

Answer:

-9/2  or -4.5

Step-by-step explanation:

-1/2 - 4

= -9/2  or -4.5

3 0
3 years ago
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