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aksik [14]
3 years ago
8

What is 30 percent of 60

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer: 18

Step-by-step explanation: Well <u><em>percent</em></u> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.

<em>What</em> means <em>x</em>, <em>is</em> means <em>equals</em>, <em>30%</em> is <em>30/100</em>, <em>of</em> means <em>times</em> <em>250</em>.

Simplifying on the right side of the equation,

notice that 30/100 reduces to 3/10.

So we have x = 3/10 · 60. Think of the 60 as 60/1 so we can cross-cancel the 60 and 10 to 6 and 1 and we have x = \frac{(3)(6)}{(1)(1)} or <em>x = 18</em>.

Now let's check our answer back in the original problem to see if it makes sense. We have <em>18 is 30% of 60</em>.

Well we know that 100% of 60 would be 60 so 30% of 60 should be alot less than 60 so 18 seems to make sense as a pretty good answer.

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What are expressions like 4(3+2) and 4(3)+4(2)
romanna [79]
Your using the distributive property in your example, hope that helps.
5 0
3 years ago
Solve the system of equations using substitution y=x-1 and y=-2x+5
pav-90 [236]
Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

y=x-1
y=2-1
y=1

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)
7 0
3 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
PLEASE HELP! 17 POINTS I think it's D but I'm not sure
miss Akunina [59]
I honestly believe its D but I'm not for sure. Sorry if i didn't help much
4 0
4 years ago
If 4x+2=5y+3 then y =
Schach [20]

Answer:4x/5-1/5 = y

Step-by-step explanation:

We need to get y by itself

4x+2=5y+3

subtract 3 from both sides

4x-1=5y

divide both sides by 5

4x/5-1/5 = y

4 0
2 years ago
Read 2 more answers
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