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yuradex [85]
4 years ago
8

What is the unit rate for 30:15

Mathematics
1 answer:
OLga [1]4 years ago
3 0
The unit rate is 2:1 because if you divide 30 by 15 it is 2 which means 2 for 1.
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The sum of a number and twice another number is 17. The sum of twice the first number and the second number is 4. What are the t
zhannawk [14.2K]

Step-by-step explanation:

Given that,

a + 2b = 17

Also,

2a + b = 4

By adding the above expressions we get,

a + 2b + 2a + b = 17 + 4

3a + 3b = 21.

3 (a + b) = 21

a + b = 21/3

a + b = 7 Let us take 'b' = 10

a + 10 = 7

a = 7 - 10

a = -3

Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions

a + 2b = 17

-3 + (2 × 10) = 17

-3 + 20 = 17

17 = 17

2a + b = 4

(2 × -3) + 10 = 4

-6 + 10 = 4

4 = 4

Therefore, a = -3 and b = 10 [(-3,10)] is the solution.

8 0
3 years ago
How many ways can eight boxes be arranged on a shelf?
11111nata11111 [884]
You can solve this by using 8!
when you put this through a calculator, you'll get 40320.

Therefore, eight boxes can be arranged in 40,320 different ways on a shelf.

Hope that helps :)
3 0
3 years ago
I need help someone please
jolli1 [7]
Answer: Product of powers
---
The product of powers rules basically says that two powers, let's call them a^{m} and a^{n}, with the same base (a) multiplied together equals a^{m+n}.

In your problem you can see that a^{2} and a^{3} are being multiplied together and the exponents are being added, which is what the "product of powers" law says.
3 0
4 years ago
These are for corrections. What is number 15?
valentina_108 [34]

Answer:

x = 2\sqrt{10}

Step-by-step explanation:

We have to solve for x from the logarithmic equation as follows:

\log x^{2} + \log 25 = 3

⇒ \log 25x^{2}  = 3  

{Since, using logarithmic property \log A + \log B = \log AB}

Now, converting this logarithmic equation above into exponential equation we get,

25x^{2}  = 10^{3}  

{Since we know that if \log_{10}a = b then, we can write a = 10^{b}}

⇒ 25x^{2}  = 1000

⇒ x^{2}  = 40

⇒ x = 2\sqrt{10} (Answer)

6 0
3 years ago
Find the area.<br> 8.4 and 11 ft
Gwar [14]

Answer:

the area is 92.4

Step-by-step explanation:

you just multiply the base and height to get the area

5 0
3 years ago
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