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3 years ago

Help with this math problem

Mathematics

2 answers:

belka [17]3 years ago

8 0

below -2 ll between -2 and 1 ll above 1

-2.5 ll -0.5 ll 1.5

-4.5 ll 0.5 ll 4

aniked [119]3 years ago

6 0

-0.5 goes in second box

1.5 goes in third box

-2.5 goes in first box

-4.5 goes in first box

0.5 goes in second box

4 goes in third box

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joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour

SVEN [57.7K]

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

8 0

3 years ago

According to Chef Robert Sevaly, pressure cookers "really are a timesaver, cutting your cooking time by three-fourths." If a per

solniwko [45]

Answer:

1. Cooking time saved in a month = 42.86 * 3/4 = 32 hours

2. Cooking time saved in a year = 520 * 3/4 = 390 hours

3. Since the household saves 390 hours in a year using pressure cooker, it will then save 390 * $2 = $780

Step-by-step explanation:

Hours spent cooking on average per week = 10 hours

Hours spend cooking on average per day = 1.43 (10/7), assuming 7 days in a week

Total hours spent on average per month = 42.86 (30 * 10/7), assuming 30 days in a month

Total hours spent on average per year = 520 (52 * 10) hours, assuming 52 weeks in a year.

Savings in time = 3/4

Therefore, the cooking time saved in a month = 42.86 * 3/4 = 32 hours

And the cooking time saved in a year = 520 * 3/4 = 390 hours

If on the average, a household spends $20 in natural gas for cooking per month, the money it would save by using a pressure cooker in a year will be equal to:

Cost of each hour of cooking without pressure cooker = $20/10 = $2 per hour

Since the household saves 390 hours in a year using pressure cooker, it will then save

= Hours saved multiplied by hourly cost of gas

= 390 * $2

= $780

6 0

4 years ago

Reading and Writing Decimal Numbers through Ten Thousandths

Vladimir [108]

Answer:

1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths

8 0

3 years ago

Literally answer any of the questions above and it’ll be the biggest help

Tcecarenko [31]

The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.

We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.

a) The cosine values repeat every 2π, so the general form of the smallest angle will be

... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ

b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is

... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ

c) Using these expressions with k=0, 1, 2, we get

... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}