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frutty [35]
3 years ago
8

How many groups of 1/2 days are in 1 week? Write a multiplication equation or a division equation to represent the question, the

n answer the question. *​
Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

14 groups

Step-by-step explanation:

Given

Groupings = \frac{1}{2}\ day

Duration = 1\ week

Required

Determine the number of group in the week

To do this, we simply divide the duration by the number half day group.

This gives:

Group = \frac{Duration}{Groupings}

Group = \frac{1\ week}{1/2\ days}

Convert week to days

Group = \frac{7\ days}{1/2\ days}

Group = \frac{7}{1/2}

Group = 7 / \frac{1}{2}

Convert to multiplication

Group = 7 * \frac{2}{1}

Group = \frac{14}{1}

Group = 14

<em>Hence, there are 14 groups</em>

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2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm
4vir4ik [10]

Answer:

It's required 7.48\ m^2 of sheet for the tank

Step-by-step explanation:

<u>Surface Area of a Cylinder</u>

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

S=2\pi r^2+2\pi r h

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

S=2\pi 0.7^2+2\pi (0.7)(1)

S=2\pi 0.49+1.4\pi

S=2.38\pi

\boxed{S=7.48\ m^2}

It's required 7.48\ m^2 of sheet for the tank

7 0
3 years ago
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcycli
rewona [7]

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

5 0
3 years ago
Read 2 more answers
What is exact the slope of the line through (-9, 6) and ( -3 ,9 )
Tatiana [17]
Slope = (y2 - y1) / (x2 - x1)
(-9,6)....x1 = -9 and y1 = 6
(-3,9)...x2 = -3 and y2 = 9
now we sub and solve
slope = (9 - 6) / (-3 - (-9) = 3 / (-3 + 9) = 3/6 = 1/2 <=
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3 years ago
Can y’all help me with thjs
PtichkaEL [24]

I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.

We can see the line goes through the points (1;2) , (2;4) , (3;6) ...

So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)

-> Leslle used half a cup of salad dressing for every serving of salad (B)

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2 years ago
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What is 80% as a fraction in reduced form ?
dangina [55]
4/5 because 8/10 is equal to 4/5 which is the simplest form<span />
4 0
3 years ago
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