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soldi70 [24.7K]
3 years ago
14

75% of the 40 beverages in the vending machine are sports drinks. How many of the beverages are sports drinks?

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0
There are 30 sports drinks
40/100 = 0,4x75 = 30
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A circular garden has a circumference of 63 yards. Lars is digging a straight line along a diameter of the garden at a rate of 5
Harrizon [31]

Answer:

4 hours

Step-by-step explanation:

If the circumference of the circular garden =63 yards

Circumference of a Circle =2πr=πd (d=diameter)

Therefore:

πd= 63

diameter of the circular garden =63/3.14=20 yards

If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:

20 yards/5 yard per hours = 4 hours

It will take him 4 hours to dig across the circular garden.

6 0
3 years ago
Find the value of x. (4x-101) (2x+3)<br> A. 31<br> B.107<br> C.52<br> D.46
puteri [66]

(4x−101)(2x+3)

Apply the distributive property by multiplying each term of 4x−101 by each term of 2x+3.

8x²+12x−202x−303

Combine 12x and −202x.

8x²−190x−303

4 0
2 years ago
Read 2 more answers
Please help! (image is for question 3)
nika2105 [10]

The formula for the total sum of the inner angles of the polygon is

Sn= (n-2) 180°

1) S6= (6-2) 180 = 4*180 = 720° In the hexagon all angles are equal

α= S6/6= 720/6= 120°

2) In each polygon the sum of the external angles is 360°

3) S5= (5-2) 180 = 540° than  we can add up all angles

x+131+108+107+110=540 => x= 540-456= 84°

4) α = 360/5=72°

Good luck!!!


6 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Round your answers to two decimal places. Subtract vector v = &lt;2, -3&gt; from vector u =
expeople1 [14]

u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>

given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is

θ = tan^{-1}(\frac{v}{u})

thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )

Θ = tan^{-1}(\frac{5}{3}) = 59.04° ( to 2 dec. places )



3 0
2 years ago
The ratio of wooden bats to metal bats in
lapo4ka [179]
<h3>Answer: 10 metal bats</h3>

"Ratio of wooden bats to metal bats is 2 to 1" basically means "there are twice as many wooden bats (compared to metal ones)". So if we had 3 metal bats, then we'd have 2*3 = 6 wooden bats. If we had 7 metal bats, then we have 14 wooden ones (because 2*7 = 14). And so on. The basic rule is to multiply the amount of metal bats by 2 to get the amount of wooden ones.

We can go in reverse to divide the amount of wooden bats to get the amount of metal ones. So 20/2 = 10 is the amount of metal bats.

------------------

A more formal approach is to use the proportion below to solve for x

20/x = 2/1

20*1 = x*2

20 = 2x

2x = 20

2x/2 = 20/2

x = 10

and we get the same answer.

6 0
3 years ago
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