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1 year ago

A contaminant is found in a solution at a level of 3/500%. What fraction of the solution is this

Mathematics

2 answers:

Stells [14]1 year ago

8 0

Answer:3/5

Step-by-step explanation:

First we change 500% to fractions

Changing percentage to fraction is dividing the number by 100

500% = 500/100

Putting this we get 3/(500/100)

Then when a number is being divided by a fraction, to get the answer, we multiply the number by the inverse of the fraction

3/(500/100) = 3 x 100/500 = 300/500 = 3/5

AnnyKZ [126]1 year ago

5 0

Your answer is 0.6. I hope this helps.

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What is the first term of the expression? −6xyz + 9xy + 12x + 18y TIA!

tatyana61 [14]

For this case we have that by definition:

The terms of a polynomial expression are those that are composed of coefficients and variables separated by signs of addition and subtraction.

We then have the following expression:

$-6xyz + 9xy + 12x + 18y$

According to the definition, we can conclude that the first term is given by:

$-6xyz$

Answer:

The first term of the expression is:

$-6xyz$

4 0

1 year ago

Read 2 more answers

What two partial products would you add to find 513 x 46

Afina-wow [57]

First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

  513
x46
--------------------------
  18 (as 6*3 = 18)
  60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
  120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
  400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)

Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.

3 0

2 years ago

Read 2 more answers

1. Kellie and her sister Ashley are training for a marathon. Kellie ran 10 mi in 75 min. Ashley ran 15 mi in 120 min. Which stat

skad [1K]

(a) Kellie’s minutes-per-mile pace was faster than Ashley’s minutes-per-mile pace.

True

10/75 = 0.14

15/120 = 0.13

(b) Kellie ran 8 mph.

True

10 ÷ 1.15 = 8

False

Speed = 7.5 mph

7.5 × 1.5 = 11.25 mi

8 0

1 year ago

Read 2 more answers

What type of triangle has side lengths of 4√5, √145 and 19?

Masja [62]

a, b, c - side lengths (a ≤ b ≤ c)

If $a^2+b^2 < c^2$ , then is Obtuse triangle.

If $a^2+b^2=c^2$ , then is Right triangle.

If $a^2+b^2 > c^2$ , then Acute triangle.

$a=4\sqrt5,\ b=\sqrt{145},\ c=19\to a < b < c$

Check to see if the sum of the first two sides is greater than the third.

$a+b=4\sqrt5+\sqrt{145}\approx9+12=21 > 19=c\\\\CORRECT$

$a\neq b\neq c\neq a$ , therefore is Scalene triangle.

$a^2=(4\sqrt5)^2=4^2(\sqrt5)^2=16(5)=80\\\\b^2=(\sqrt{145})^2=145\\\\c^2=19^2=361\\\\a^2+b^2=80+145=225 < 361=c^2\\\\a^2+b^2 < c^2$

It's Obtuse triangle.

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1 year ago

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of

anzhelika [568]

We have been given that the slope-intercept form of a linear equation is $y = mx+b$ , where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis. We are asked to solve the equation for slope.