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2 years ago

The sum of 38 and three times a number is 89

Mathematics

2 answers:

Darina [25.2K]2 years ago

8 0

the sum of 38 and three times a number is 89

(38+3n) = 89

subtract 38 from each side

3n = 51

divide by 3

n = 17

siniylev [52]2 years ago

7 0

38+3x=89 is the proper way to write this equation.

Now to solve, first subtract 38 from both sides (38-38 and 89-38)

3x=51

Now divide both sides by 3( 3x/3 and 51/3)

x=17

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Estimate the following quantities without using a calculator. Then find a more precise result, using a calculator if necessary.

zubka84 [21]

Explanation:

a. It is so easy to double a number that no approximation is necessary.

31,000 × 200 = 3.1×10⁴ × 2×10² = 6.2×10⁶ exactly

b. 6.2×10³ × 5.2×10⁶ ≈ 6×5×10⁹ = 3×10¹⁰ approximately

The approximation can be refined a bit by taking the ".2" into account:

6.2×10³ × 5.2×10⁶ ≈ (6×5 + .2×(6+5))×10⁹

= 32.2×10⁹ = 3.22×10¹⁰ approximately

Actual product: 3.224×10¹⁰.

For most purposes, the approximation is an adequate approximation, as it it within 10% of the actual value.

c. 9×10⁶ -2.3×10⁴ ≈ 9×10⁶ approximately

A better approximation is to actually subtract an approximation of the smaller number:

9×10⁶ -2.3×10⁴ ≈ (9 - 0.02)×10⁶ ≈ 8.98×10⁶ approximately

The actual value uses all of the digits of the smaller number:

9×10⁶ -2.3×10⁴ ≈ (9 - 0.023)×10⁶ = 8.977×10⁶ exactly

As in part B, either approximation is adequate for most purposes, as the difference from the actual value is less than .3%.

_____

The accuracy required of an approximation, hence the work you expend improving accuracy, should depend on the need in the final application of the number. Often, approximations are used for budget or resource planning purposes where some "slop" is allowed or even expected.

They can also be used in engineering applications, where the error needs to be on the side of more safety (rather than less).

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3 years ago

The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the x

juin [17]

Answer:

f(x) = 8 - 1.5x

Step-by-step explanation:

Here, we want to write a function that can be used to describe the x th term of the sequence

Mathematically, this can be calculated by looking at the numbers in the sequence

The difference between each successive term

is -1.5 ( 6.5-8, 3.5 -5)

So the formula for then x th term will be;

f(x) = 8 - 1.5x

where x refers to the number of the term , for example the 4th term

5 0

3 years ago

Read 2 more answers

Three times the difference of four times a number n and seven is no more than one

Sindrei [870]

Answer:

3x-4x7

Step-by-step explanation:

8 0

2 years ago

Please I really need help I will mark you as brainliest!

inna [77]

Answer:

∠ XYZ ≈ 72.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanXYZ = $\frac{opposite}{adjacent}$ = $\frac{XZ}{XY}$ = $\frac{13}{4}$ , thus

XYZ = $tan^{-1}$ ( $\frac{13}{4}$ ) ≈ 72.9° to 1 dec. place )

4 0

3 years ago

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Nana76 [90]

Hi there!
We are given the function -
$\lim_{n \to \infty} \frac{(n+1)!}{n!-(n+1)!}$
and are told to find the limit of the function.
The limit would be n approaches infinity, giving us an answer of -1.
Here is how you solve this:
$\frac{(n+1)!}{n!-(n+1)!}$
Divide by (n + 1)! -
$\frac{1}{\frac{1}{n+1}-1 }$
Now, we can refine the function -
$\lim_{n \to \infty}\frac{1}{\frac{1}{n+1}-1 }$
Now, just simplify. This gives us -
$\lim_{n \to \infty} (1)$
We can use the rule $\lim_{x \to a}c=c$ to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is -1. Hope this helped and have a great day!

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2 years ago