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Llana [10]
2 years ago
10

How many ways can two names be chosen from 76 in a raffle if only one entry per person is allowed

Mathematics
1 answer:
Fantom [35]2 years ago
7 0

2850

good luck have a nice day

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Can anyone identify the two variables
valentina_108 [34]
The two variables are time (x) and distance (y)

And the answer is they will meet after 1 mile

The function of the aunt and uncle is y=25x+5

The function of yourself is y2=30x

Since you want to know when you’ll meet, you just resolve y=y2 or 25x+5=30x

Wich will be x=1 so 1 mile
8 0
3 years ago
The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A
Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

V = a \times b \times c \: \rm unit^3

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and  c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

15 \times 3 \times b \times 3 \times c = 135 \times  b\times c = 135 \times 12 = 1620 \: \rm cm^3

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0
3 years ago
A student had test score of 85, 72, 63, 91, and 94. Find the average of the test scores .
elena-s [515]
So just add all of them together and you get 405. Then divide by the amount of numbers there is which is 5. So 405 divided by 5. The answer is 81.
6 0
3 years ago
Read 2 more answers
Marking brainliest!!<br><br> What should I put for the second question? I am confused. HELPP
Levart [38]

if other experts state the same thing in their own paper or document.

8 0
3 years ago
Read 2 more answers
John has a boat that will travel at the rate of 15 kph in still water. He can go upstream for 35 km in the same time it takes to
Otrada [13]

Answer:

The boat traveling at 24 kph when John goes downstream.

Step-by-step explanation:

We are given the following in the question:

John has a boat that will travel at the rate of 15 kph in still water.

Let x be the speed of the current.

Speed of boat in upstream

(15-x)\text{ kph}

Speed of water in downstream

(15+x)\text{ kph}

Relation:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

We have to find the speed of boat in downstream.

Time to travel upstream for 35 km = Time to travel  140 km downstream

\displaystyle\frac{35}{15-x}=\frac{140}{15+x}\\\\35(15+x) = 140(15-x)\\525 + 35x = 2100 - 140x\\175x = 1575\\x = 9

Thus, speed of current is 9 kph.

Speed of boat in downstream = 15 + 9 = 24 kph.

Thus, the boat traveling at 24 kph when John goes downstream.

4 0
3 years ago
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