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2 years ago

I think of a number, add 8 to it and the result is 14. Find the number

Mathematics

2 answers:

Arada [10]2 years ago

5 0

It is 6, you subtract 8 from 14

Leya [2.2K]2 years ago

3 0

Answer:

Step-by-step explanation:

The equation for this would be:

n+8=14, since we are adding 8 to a number and getting 14

To solve, isolate the variable n, by subtracting 8 from both sides

n+8=14

n+8-8=14-8

n=6

The number is 6

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What is the area of the figure?

Andreyy89

Answer:

$88 \: {in}^{2}$

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in

$= 16 \times 4 + 2 \times \frac{1}{2} \times 3 \times 8 \\ \\ = 64 + 24 \\ \\ = 88 \: {in}^{2}$

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2 years ago

Can someone please show me the steps in finding the answers to these two problems ?

ratelena [41]

Answer:

y = 8^(x-1)
x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

2) This equation is of the form ...

k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

9x = 6³ = 216

Now, you can divide by 9 to find x:

x = 216/9

x = 24

5 0

3 years ago

Read 2 more answers

Find the base of a parallelogram with a slant height of 7cm and an perimeter of 63 cm2

vlada-n [284]

Base of parallelogram b = 24.5 cm

Step-by-step explanation:

We are given:

Perimeter =P= 63 cm^2

Slant Height =a= 7 cm

Base of Parallelogram =b= ?

The formula used is:

$Perimeter = 2(a+b)$

where a is height and b is base

Putting values:

$Perimeter = 2(a+b)\\63=2(7+b)\\63=14+2b\\2b=63-14\\2b=49\\b=\frac{49}{2}\\b=24.5$

So, Base of parallelogram b = 24.5 cm

Keywords: Perimeter of Parallelogram

Learn more about Perimeter of Parallelogram at:

#learnwithBrainly

5 0

3 years ago

I think of a number, add 8 to it and the result is 14. Find the number​

I think of a number, add 8 to it and the result is 14. Find the number