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Anarel [89]
3 years ago
12

You are in a bike race. When you get to the first checkpoint, you are $\frac{2}{5}$

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

Answer:

The distance from the star to the second checkpoint is 4 miles

Step-by-step explanation:

The complete question in the attached figure

we know that

When you get to the second checkpoint, you are 1/4 of the distance to the finish

so

The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4

The total distance is 40 miles ( see the attached figure)

so

The distance from the star to the second checkpoint is

\frac{1}{4}(40)=10\ miles

<em>Find out the distance from the start to the first checkpoint</em>

Multiply the distance from the star to the second checkpoint by 2/5

\frac{2}{5}(10)=4\ miles

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Biology if one honeybee makes 1/12 teaspoons of honey during its life time how many homey bees do you need to make1/2 tea spoons
Korolek [52]

Answer:

(1/2) / (1/12)

(1/2) * (12/1) = 12/2 = 6


6 0
3 years ago
Max bought 4 liters of fruit punch for a party.he will serve the punch in glasses that will hold 200 milliliters.how many full g
ss7ja [257]
Hello!
.
1 liter is equal to 1000 milliliter.
So,
4 L = 4000 mL
.
Max bought 4 liter or 4000 mL of fruit punch. To know how many glasses full of fruit punch can he serve, you just need to divide the amount of fruit punch he bought by the amount of fruit punch a glass can hold.
4 L / 200 mL
The dividend and the divisor have different unit so we must make them have the same unit.
4000 mL / 200 mL
= 20
.
Therefore, Max can make 20 full glasses of fruit punch for the party.
:)
6 0
3 years ago
Read 2 more answers
*PLEASE HELP URGENT NEED TO TURN IN TOMORROW* WILL GIVE BRAINY AND 60 OR MORE POINTS
pogonyaev

Answer:

2.  92 ounces of Sprite

3.  1/6 do not want mustard on their ham sandwiches

4.  6 hours playing volleyball

5. 32 portions

Step-by-step explanation:

2.  Sam has 8 cans of Sprite.  Each can is 11 2/4 ounces

We can simplify 2/4 to 1/2

Multiply the number of cans by  the ounces per can

8 * 11  1/2

8 * 11.5

92 ounces

3.  1/2 of the students want ham.  1/3 of those do not want mustard

We multiply 1/2*1/3 = 1/6

1/6 of the students do not want mustard on their ham sandwiches

4.  8 hours at the beach.  3/4 of the time was spent playing volleyball

Multiply this together

8*3/4 = 8/4*3 = 2*3 = 6 hours

5.  We have 4 lbs of wings.  We divide it into 1/8 lbs parts

4 ÷ 1/8

Copy dot flip

4 * 8/1

32 portions

8 0
3 years ago
A large concrete block is used for the cornerstone
marin [14]

Answer:

The volume of the concrete needed to make the block is 5054 ft³

Step-by-step explanation:

The question relate to the calculation of the volume of a shape

The dimensions of the block are;

The depth of the block, d = 19 ft.

The width of the block, w = 19 ft.

The length of the block, l = 14 ft.

The volume of a cube, V = Length, l × Width, w × Depth, d

Therefore, the volume, 'V' of a cubic block is given as follows;

V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³

The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.

8 0
3 years ago
In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an
Serggg [28]

Here is dependence between scores and x-values:

Z_i=\dfrac{X_i-\mu}{\sigma},

where \mu is the mean, \sigma is standard deviation and i changes from 1 to 2.

1. When i=1, Z_1=-0.25,\ X_1=57, then

-0.25=\dfrac{57-\mu}{\sigma}.

2. When i=2, Z_2=1.25,\ X_2=87, then

1.25=\dfrac{87-\mu}{\sigma}.

Now solve the system of equations:

\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.

\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.

Subtract first equation from the second:

1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.

Then

1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.

Answer: the mean is 62, the standard deviation is 20.

3 0
3 years ago
Read 2 more answers
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