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2 years ago

What percent of 40 is 14?

Mathematics

1 answer:

Lemur [1.5K]2 years ago

3 0

First translate the question into an equation.

"What percent" means x/100, "of 40" means times 40, "is 14" equals 14.

So we have (x)(40) = 14 or 40x = 14.

Dividing both sides by 40, we find that x = 0.35.

Now, we want to write our answer as a percent.

So we move the decimal 2 places to the right and we have 35%.

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Find S11 for 1 + 2 + 4 + 8 + …

NemiM [27]

Answer:

2,047

Step-by-step explanation:

Given:

$1+2+4+8+...$

Find:

$S_{11}$

You are given the geometric sequence. From the given sum, you can see that

$b_1=1\\ \\b_2=2=1\cdot 2=b_1\cdot 2\\ \\b_3=4=2\cdot 2=b_2\cdot 2\\ \\b_4=8=4\cdot 2=b_3\cdot 2\\ \\....\\ \\r=2$

To find the sum $S_{11},$ use formula

$S_n=\dfrac{b_1(1-r^n)}{1-r}$

Hence,

$S_{11}=\dfrac{1\cdot (1-2^{11})}{1-2}=\dfrac{1-2,048}{-1}=2,047$

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2 years ago

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Step-by-step explanation:

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Question: find the value of x.<br><br><br> CAN someone please help me please explain!!

ELEN [110]

Step-by-step explanation:

Sum of interior angles of a polygon is given by (n-2)180°

where,n is the number of sides.

Since this polygon has 5sides,

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2 years ago

What is the equation of a line that passes through (1,5) and (3,11)? Show work please.

jekas [21]

First, find the gradient/slope:
Use slope formula:
m=(y2-y1)/(x2-x1)
=(11-5)/(3-1)
=6/2
=3
Then use the line equation formula:
y=mx+c
You can substitute (1,5) if you like, also must substitute the slope as well!
5=3x1+c
c=2
Then find the full equation, which gives you the answer:
y=3x+2

3 0

2 years ago