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Arisa [49]
3 years ago
5

Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip and then at an average speed of 60 miles p

er hour for the remaining 30 miles of the trip. If she made no stops during the trip, what was Susan's average speed, in miles per hour, for the entire trip?a. 35
b. 40
c. 45
d. 50
e. 55
Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer: option B is the correct answer.

Step-by-step explanation:

Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip.

Time = distance/speed

This means that time spent by Susan in travelling the first 30 miles would be

Time = 30/30 = 1 hour

He travelled at an average speed of 60 miles per hour for the remaining 30 miles of the trip.

Time = 30/60 = 0.5 hours

Total distance travelled is 30 + 30 = 60 miles.

Total time spent = 1 + 0.5 = 1.5 hours

Speed = distance/time

Average speed = 60/1.5 = 40 miles per hour.

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Use Cramer's Rule to solve each system.<br> 5x – 3y = 8<br> -2x - y = 10
zlopas [31]

Answer:

-2, -6

Step-by-step explanation:

using cramer rule

5    -3    

-2   -1    

calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11

using cramer rule

to calculate x we change the coefficient of x with the answer (8,10)

8   -3

10   -1

we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22

to calculate x

22/-11= -2

to calculate y we change the coefficient of y with the answer (8,10)

5   8

-2   10

we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66

to calculate y

66/-11= -6

6 0
3 years ago
Read 2 more answers
Is the function g(x)= -2x^2 -2x+7 linear or nonlinear?<br><br> HELPP plsss
Kitty [74]

Answer:

Is non-linear

Step-by-step explanation:

It is a quadratic function

8 0
3 years ago
If there are 7 bolts in a widget and 6 widgets in an appliance, how many bolts are in 20 appliances?
sweet [91]
A single appliance has 6 widgets, and a widget has 7 bolts. Therefore, you need to multiply 6 by 7 to find the number of bolts in a single appliance.

6 x 7 = 42

Now that you know the number of bolts in an appliance, you can find the number of bolts in 20 appliances by multiplying 42 by 20.

42 x 20 = 840

Hence, there are 840 bolts in 20 appliances.

5 0
3 years ago
A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct
Mazyrski [523]

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

4 0
2 years ago
Priya has picked 1 3/4 cups of raspberries. She uses 1/5 cup of raspberries for a bottle of jam. How many bottles of jam can she
Scilla [17]

Answer:

=8 \dfrac{3}{4} jams

Step-by-step explanation:

Given that:

Priya has 1\dfrac{3}{4} \ cups \ of \ raspberries

If she uses \dfrac{1}{5} cups \ on \ jam

∴

Then she will be able to make:

=1\dfrac{3}{4} \div \dfrac{1}{5}

= \dfrac{7}{4} \times \dfrac{5}{1}

= \dfrac{35}{4}

=8 \dfrac{3}{4} jams

4 0
2 years ago
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