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3 years ago

Rob and Matt made 55 cups of lemonade

Mathematics

2 answers:

maxonik [38]3 years ago

8 0

Answer:

24 cups of lemonade

Step-by-step explanation:

Rob made 7 more then Matt. You could say that Matt made 24 and Rob made 31 and it would be correct.

notka56 [123]3 years ago

5 0

Answer:

Rob made 31, and Matt made 24

Step-by-step explanation:

55 in total

Rob made 7 more do 55 - 7 = 48

48 / 2 = 24

24 for Matt

24 +7 = 31

31 for rob

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A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. one plank is painted white and it st

Sliva [168]

The correct option is 9 feet.

The height from the ground the white plank after the motion is 9 feet.

<h3>What is rotational motion?</h3>

Anything that spins or moves in a circular route is said to be in rotational motion. It's also referred to as angular motion and circular motion. The motion can be uniform (— in other words, the velocity v remains constant) and non-uniform, but it must be circular.

Now, according to the question;

The wheel's radius is 4 feet.

The height of a bottom of a wheel from the ground equals 1 foot.

π/3 radians is the angle where the wheel is rolled.

The following relationship describes the height of a revolving wheel.

f(t) = A·sin(B·t + C) + D

Where,

D = Mid line = 4 + 1 = 5 feet

B·t = π/3

C = 0

amplitude; A = 4

Substituting the values in the function;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

f(t) = 9 (approx)

Therefore, the plank's height after the /3π/3 rotation motion = 9 ft.

To know more about the rotational motion, here

brainly.com/question/2136775

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3 0

2 years ago

Sara has 20 sweets. She has 12 liquorice sweets, 5 mint sweets and 3 humbugs. Sarah is going to take, at random, two sweets Work

Debora [2.8K]

Answer:

111 / 190

Step-by-step explanation:

Let us first compute the probability of picking 2 of each sweet. Take liquorice as the first example. There are 12 / 20 liquorice now, but after picking 1 there will be 11 / 19 left. Thus the probability of getting two liquorice is demonstrated below;

$12 / 20 * 11 / 19 = \frac{33}{95},\\Probability of Drawing 2 Liquorice = \frac{33}{95}$

Apply this same concept to each of the other sweets;

$5 / 20 * 4 / 19 = \frac{1}{19},\\Probability of Drawing 2 Mint Sweets = 1 / 19\\\\3 / 20 * 2 / 19 = \frac{3}{190},\\Probability of Drawing 2 Humbugs = 3 / 190$

Now add these probabilities together to work out the probability of drawing 2 of the same sweets, and subtract this from 1 to get the probability of not drawing 2 of the same sweets;

$33 / 95 + 1 / 19 + 3 / 190 = \frac{79}{190},\\1 - \frac{79}{190} = \frac{111}{190}\\\\$