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madreJ [45]
3 years ago
10

if you drive to your spring break destination at a steady 60 miles per hour and Return at a steady 40 miles per hour what is you

r average speed for the round trip?
Mathematics
1 answer:
NemiM [27]3 years ago
4 0
D = distance to & from spring break destination

t1 = d/60 = time to get there

t2 = d/40 = time to get back

avg speed = (total distance)/(total time)

= 2d/(d/60+d/40)

Divide numerator and denominator by d:

= (2/(1/60 + 1/40))

Multiply numerator and denominator by 120:

= 240/(2 + 3)

= 240/5

= 480/10

= 48 mi/hr is the average speed round trip.
Trentt31
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A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 3
timofeeve [1]

Answer:

60 kilometers

Step-by-step explanation:

<em>1</em><em> </em><em>centimeter</em><em> </em><em>=</em><em> </em><em>3</em><em> </em><em>kilometers</em><em> </em>

<em>2</em><em>0</em><em> </em><em>×</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>6</em><em>0</em><em> </em>

5 0
2 years ago
Of the students at I.S. 59, 230 signed up for the school picnic. That was 50% of all students in the school. How many students a
Nastasia [14]

Answer: 460 students

Step-by-step explanation:

Based on the information given in the question, let the total number of students that attend I.S. 59 be represented by x.

Since we've been given the information that 230 signed up for the school picnic which was 50% of all students in the school. Then, the students in the school will be:

= 50% of x = 230

0.5 × x = 230

0.5x = 230

x = 230/0.5

x = 460

Therefore, 460 students attend the school.

4 0
3 years ago
If two angles are supplement of each other, then one of the angles must be acute
oksian1 [2.3K]

Answer:

this is true

Step-by-step explanation:

a supplementary angle adds up to 180 degrees. two accute angles would equal to around 90 and two obtuse angles would add up to more than 180. two right angles are perpendicular and they could work but since the question asks about acute and obtuse, its true that one angle must be acute and the other must be obtuse for it to add up to 180.

7 0
3 years ago
What are the range values of the function f (x ) = 3x + 4 for the domain values {-5, -1, 0, 2, 7}?
Airida [17]

Answer:

Range values are:

{-11, 1, 4, 10, 25}

Step-by-step explanation:

Domain values are the possible x values that can be entered into the function, or the inputs.  Range values are the y values, or the outputs. By inserting every value in the set into the function, we get the outputs (y values)

-15 + 4 = -11

-3+4 = 1

0 + 4 = 4

6 + 4 = 10

21 + 4 = 25

Remember to put them in order.

7 0
3 years ago
Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the pro
umka21 [38]

|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%

8 0
3 years ago
Read 2 more answers
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