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rosijanka [135]
3 years ago
12

Tracie and Marcia drove to Northern California to see Marcia’s sister in Eureka. Tracie drove one hour more than four times as m

uch as Marcia. The trip took a total of 21 driving hours. How many hours did Tracie drive?
Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0
Answer: 17 hours

If you would like further explanation let me know. :)
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Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

  • Two lines are parallel if their slopes are equivalent.
  • Two lines are perpendicular if their slopes are negative reciprocals of each other.
  • And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

\displaystyle 3x+4y=12

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

4y=-3x+12

And divide both sides by four:

\displaystyle y=-\frac{3}{4}x+3

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

-6x-8y=24

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

-8y=6x+24

And divide both sides by negative eight:

\displaystyle y=-\frac{3}{4}x-3

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

3 0
2 years ago
Line I is parallel to line m.if the maesure of angle 6 is 75 what is the measure of angle 3
devlian [24]

Answer:

105

Step-by-step explanation:

l is parallel m so angle 3+angle 6=180

8 0
3 years ago
What is 65 percent of 78?​
Allushta [10]

Answer:

50.7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
elena-s [515]
Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2

The equation
x + y = 120
60% x + 85% y = 65% (x + y)

Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x

From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24

y = 4x
y = 96

The first type should be 24 pints, the second type should be 96 pints
5 0
3 years ago
Every 2 minutes, the height of a glider decreases by 8 feet. The initial height was 47 feet.
Diano4ka-milaya [45]

Answer:

50

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
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