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Marta_Voda [28]
3 years ago
13

Solve the following equation or inequality for the unknown variable. Round answer to two decimal places if necessary.

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

x = 2.7

Step-by-step explanation:

The given equation is :

(3x)^2-10=56

We need to solve it for x.

It can be rewrite as follows:

9x^2-10=56

Adding 10 to both sides,

9x^2-10+10=56+10\\\\9x^2=66\\\\x=\sqrt{\dfrac{66}{9}}\\\\x=2.70

So, the value of x is equal to 2.7.

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Use division(scale down)<br> to find two ratios equivalent<br> to 30:40.
Korvikt [17]

Answer:

3:4 and 15:20

Step-by-step explanation:

30: 40 divided by 10 = 3:4

30:40 divided by 2 = 15:20

4 0
3 years ago
Annie is choosing an outfit for the day. She has a choice of three pairs of pants, two shirts, and three pairs of shoes. How man
vlada-n [284]
There are 3 choices for the pants. Having selected a pair of pants there are 2 choices for a shirt. Therefore there are 3 * 2 possible choices for a pair of pants and a shirt. Each of these 6 possible choices can be combined with each of the 3 possible choices of a pair of shoes. So, the total number of choices of outfit is given by:
3\times2\times3=18\ choices  
7 0
3 years ago
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly a
Mekhanik [1.2K]

Answer: We know that an "exponential growth" is that where a function start growing slowly and after start increasing more quickly.

a "logarithmic growth" is the opposite of this, at first you will see a quick increase, that after some time gets slower.

But in this case we are searching for decays: The decays are the opposite of the growths, an "logarithmic decay" starts slow and gets faster latter, and an "exponential decay" decreases very quickly at first, and latter more slowly.

Then, the model for the temperature of the hot tea over the time is a "exponential decay", this is a function of the form T(x) = T₀e^{-kt}, where T₀ is the initial temperature, t is the time, and k is a constant number.

6 0
3 years ago
Solve the following proportion. P/6 = 7/8<br> A: P=5.25<br> B: P=8<br> C: P=10.5<br> D: P=42
ValentinkaMS [17]

Answer:

A

Step-by-step explanation:

given \frac{P}{6} = \frac{7}{8}

using the method of cross- multiplication then

8P = 42 ( divide both sides by 8 )

P = \frac{42}{8} = 5.25


4 0
3 years ago
Kenji had 1/4 of a pizza left over. He ate 1/2 of the leftovers. How much of a pizza did he eat?
german

Answer:

1/8

Step-by-step explanation: 2/8=1/4

3 0
2 years ago
Read 2 more answers
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