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3 years ago

HEEEEEELP pls its due by 10:00pm today or it will count missing pls help i will mark u brilliant

Mathematics

1 answer:

photoshop1234 [79]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

a. Since they tell you the amount of water increases 1/4 gallon in 2/5 minutes, you can also see that you'd have 2/4 gallons in 4/5 minutes. Then 3/4 gallons in 6/5 minutes; 4/4 or 1 gallon in 8/5 minutes. Finally you can go one more step and see that you would have 5/4 gallons or 1 1/4 gallons in 10/5 minutes.

10/5 minutes is equal to 2 minutes. so if you divide the gallons by 2 you'll know how many gallons you'd have in 1 minute. 5/4 divided by 2 is equal to 5/8 gallons.

Another way you can look at this is if you have 1/4 gallon in 2/5 of a minute, then you would only have half of the 1/4 gallon in 1/5 of a minute. Half of 1/4 gallon is equal to 1/8 of a gallon. So if you are getting 1/8 gallon in 1/5 of a minute, you can multiply them both by 5 to get your answer in gallons/minute.

5 times 1/8 is 5/8 and 5 times 1/5 minutes is 5/5 minutes or 1 minute.

So you get the same answer 5/8 gallons/minute

b. Above you calculated how many gallons you will get in 1 minute. So to figure out how much you will get in 5 minutes, you'd multiply 5/8 by 5. This gives you 25/8 or 3 1/8 gallons. If you started with 6 gallons in the tub, now you just add those two numbers together to get 9 1/8 gallons.

c. Again we can look at the sink the same as the bath tub. Keep adding the gallons and minutes until you can get the minutes fraction equal to a whole number. 3/5 gallon in 4/5 minutes double to be 6/5 gallons in 8/5 minute, 9/5 gallons in 12/5 minutes, 12/5 gallons in 16/5 minutes and finally 15/5 gallons in 20/5 minutes. 20/5 minutes is the same as 4 minutes in whole numbers.

So if you divide both the gallons and minutes by 4, you'll get how many gallons you're getting in 1 minute. 15/5 gallons divided by 4 is 15/20 gallons. This can be reduced down to 3/4 gallons. When you divide 4 minutes by 4, you get 1 minute. So the sink is getting 3/4 gallon/minute.

Which is getting more water per minute? 3/4 gallons/minute is more than 5/8 gallons/minute so the sink is filling more rapidly.

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Step-by-step explanation:

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2 years ago

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A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang

Ksju [112]

Answer:

$x^3+x^2-5x+28$

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses $\left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4$

2. apply +(-a)=-a rule $x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4$

3. Simplify

Steps to simplify:

$x^2x=x^3$

$3xx=3x^2$

$3\cdot \:4x=12x$

$7\cdot \:4=28$

$x^3+4x^2-3x^2-12x+7x+28$

4. Add like terms $=x^3+4x^2-3x^2-5x+28$

5. Add like terms $=x^3+x^2-5x+28$

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2 years ago

Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the

bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in $x^3 + 3x^2 + 5$ , the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $4x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

The given polynomials are:

$c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10$

Their sum is

$c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11$

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

$c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9$

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

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2 years ago

the flower shop had 40 times as many flowers in one cooler as Julia has in her bouquet the cooler has 120 flowers how many flowe

Softa [21]

Answer:

3 flowers are in Julias bouquet

Step-by-step explanation:

120 divided by 40 = 3

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2 years ago

Can anyone tell me if these answers are right?

k0ka [10]

Answer:

Ummm. 1 & 3 look good double check 2

Step-by-step explanation:

HELPFUL?

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3 years ago

HEEEEEELP pls its due by 10:00pm today or it will count missing pls help i will mark u brilliant​

HEEEEEELP pls its due by 10:00pm today or it will count missing pls help i will mark u brilliant