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V125BC [204]
3 years ago
7

Simplify (9x^4y^5+6xy^3) ➗3xy^2

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer:

y5

 ——

 x2

hope it helps you to understand

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On rainy days, Izzy goes from his house to the school by running 1.2 miles on West St, then makes a 90º turn and runs 0.5 miles
OlgaM077 [116]

Answer:

a) It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.

b) Izzy runs 1.30 miles on dry days.

c) Izzy saves 3 minutes and 12 seconds cutting through the woods.

Step-by-step explanation:

This problem can be solved by a simpe rule of three problem.

a) On rainy days, she runs 1.2 + 0.5 = 1.7 miles.

The problem states that for rainy days, she runs 7.5 miles per hour. We know that in a hour, Izzy will run 7.5 miles. We want to know how long it takes for her to run 1.7 miles. So

1 hour - 7.5 miles

x hours - 1.7 miles

7.5x = 1.7

x = \frac{1.7}{7.5}

x = 0.226 hours

It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.

b) Now we have a right triangle, where the sides are the 1.2 miles and the 0.5miles, and the path through the woods x is the hypotenuse.

So, we apply the pythagorean theorem.

x^{2} = (1.2)^{2} + (0.5)^{2}

x^{2} = 1.44 + 0.25

x^{2} = 1.69

x = 1.30

So, Izzy runs 1.30 miles on dry days.

c) The first step for this question is knowing how long it takes for Izzy to run 1.30 miles at 7.50 miles a hour. So:

1 hour - 7.50 miles

x hours = 1.30 miles

7.50x = 1.30

x = \frac{1.3}{7.5}

x = 0.173 hours

So, it takes Izzy 0.173 hours = 10.4 minutes = 10 minutes 24 seconds to run through the woods.

13' 36''

-10' 24''

3' 12''

Izzy saves 3 minutes and 12 seconds cutting through the woods.

5 0
3 years ago
Each pizza costs $17.50 without toppings. Each topping added to the pizza is $2.35. if connor orders the a pizza and was charged
lapo4ka [179]
29.25
- 17.50 =
$12.75÷2.35 = 5 toppings
4 0
3 years ago
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A relation is a function if _____.
valentina_108 [34]
... <span>exactly one output for each input

This is an important concept; be certain that you understand it.

</span>
8 0
3 years ago
I need help with D only. Finding the probability of selecting someone between 20 and 34 years old.
Hunter-Best [27]
The answer is 14% because that's the amount between 20 and 34 and your trying to find the percent between those two
4 0
3 years ago
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Write three consecutive multiples of 13 in a general form.
S_A_V [24]

Answer:

answer given in step by step...

Step-by-step explanation:

13x+13(x+1)+13(x+2)=312

13x+13x+13+13x+26=312

39x+39=312

39x=312-39

39x=273

x=7

first number=13x=13*7=91

second number=13(8)=104

third number=13(9)=117

5 0
3 years ago
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