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3 years ago

Roberto wants to display his 18 sports cards in an album . Some pages hold 2 cards and others hold 3 cards .

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.

2a + 3b =18

Ricardo can fill up 9 2-card pages, and 6 3-card pages.

a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

a=6, b=2

Add 2 to b once more:

a=3, b=4

One more time:

a=0, b=6:

Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

a=3, b=4

a=0, b=6

Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses.

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Artist 52 [7]

Answer:

11.45

Step-by-step explanation:

the circumference is 36 so divide it by pie then rounded it to the nearest hundredths place

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3 years ago

(a) Complete the table of values for y- 2x + 5 - 0 1 2 1 5 Y

maxonik [38]

Answer:

Step-by-step explanation:

I think you meant y = -2x + 5.

x y = -2x + 5

0 5

1 -2(1) + 5 = 3

2 -2(2) + 5 = 1

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2 years ago

Perpendicular lines intersect to form four right angles. never always sometimes

natima [27]

Answer:

Always

Step-by-step explanation:

The definition of a perpendicular line is that it intersects another at a 90 degree angle. Using this, by verticals, the opposite corner angle must also be 90-degrees, and since one side of a line is 180 degrees, 180-90 = 90, which ensure the rest of the angles will be 90 degrees too.

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3 years ago

Read 2 more answers

What are the domain and range of the function? f(x)=−3/5x^3

vichka [17]

f(x)= −3/5x³

The domain is all values x can be. There are no restrictions on x. it can be any real number (-∞ , ∞)

The range is all values y can be. There are noi restrictions on y either because the function is odd. y is (-∞ , ∞)

The best answer is D.
domain (-∞, 0] ∪[0, ∞)
range (-∞, 0] ∪[0, ∞)

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3 years ago

5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat

frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.

Step-by-step explanation:

First determine the time it will take Daniel to reach the Boat and the jogging time

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged

lets assume Distance to swim = x ( according his sister )

determine the value of x = $\sqrt{400^2 + 1400^2 }$ therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes

Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.

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3 years ago