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3 years ago

If 3n + 2 = 14, what must 3n be equal to? 12 14 16 4

Mathematics

2 answers:

Andrew [12]3 years ago

5 0

Answer:

Step-by-step explanation:

Sati [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Isolate n to solve the problem.

1. Subtract 2 from both sides to cancel out 2 on the left side of the equation.

3n = 12

2. Divide by 3 to get n by itself.

n=4

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Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e

worty [1.4K]

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

3 0

2 years ago

Find the surface area of the cylinder to the nearest tenth of a square unit. use 3.14 for pi

Alborosie

Given:

Height of cylinder is 18.2 cm
Radius of cylinder is 3 cm

$~$

To Find?

Surface area

$~$

Solution:

Using formula:

Surface area of cylinder = 2πr (h + r)

$~$

Substituting values in the formula:

$\longrightarrow \sf 2 × 3.14 × 3 (18.2 + 3)$

$\longrightarrow \sf 6.28 × 3 (21.2)$

$\longrightarrow \sf 18.84 × 21.2$

$\longrightarrow \sf 399.4 cm²$

$~$

Hence, (B) 399.4 cm² is right answer.

6 0

2 years ago

AB=A, B, equals Round your answer to the nearest hundredth.

suter [353]

Step-by-step explanation:

$\sin(20 \degree) = \frac{3}{AB} \\ AB = \frac{3}{ \sin(20 \degree) } \\ AB = \frac{3}{0.342} \\ AB = 8.77$

7 0

2 years ago

Triangle DEF is reflected over the y-axis, and then translated

nika2105 [10]

Answer:c

Step-by-step explanation:

5 0

3 years ago

An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviatio

Lena [83]

Answer:

The width is $w = \$ 729.7$

Step-by-step explanation:

From the question we are told that

The population standard deviation is $\sigma = \% 1,000$

The sample size is $n = 50$

The sample mean is $\= x = \$ 15,000$

Given that the confidence level is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

=> $\alpha = 1\%$

=> $\alpha = 0.01$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58$

Generally margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 2.58 * \frac{1000 }{\sqrt{50} }$

$E = 364.9$

The width of the 99% confidence interval is mathematically evaluated as

$w = 2 * E$

substituting values

$w = 2 * 364.9$

$w = \$ 729.7$

5 0

2 years ago