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kramer
2 years ago
5

What is 16% more than 2.5

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
8 0

Answer:

2.9

Step-by-step explanation:

You can find this answer two different ways.

First, you can turn the percent into a decimal, multiply the two numbers, and add them together. (0.16 * 2.5) and then (0.4 + 2.5)

Second, you could find the decimal and add it to 1.0 so you get 1.16 and multiply by 2.5. (1.16 * 2.5)

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5 root 12 + 4 root 12 - 3 root 18 + 75​
oee [108]

5√12+4√12-3√18+75

5+4√12-3√18+75

9√12-3√9×√2+75

9√12+3√2+75

9√4×3+3√2+75

9×2√3+3√2+75

18√3+3√2+75

7 0
2 years ago
Lkm is equilateral. Solve for x if angle k=9x+24
Marta_Voda [28]

Answer:

x = 4

Step-by-step explanation:

Given that the triangle is equilateral then the measure of each angle is 60°

Equate 9x + 24 to 60 and solve for x

9x + 24 = 60 ( subtract 24 from each side )

9x = 36 ( divide both sides by 9 )

x = 4

7 0
2 years ago
Expand and simplify 5(2x-1)-2(3x+2)
kupik [55]

Answer:

4x - 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

5(2x - 1) - 2(3x + 2)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                               10x - 5 - 6x - 4
  2. Combine like terms (x):          4x - 5 - 4
  3. Combine like terms (Z):         4x - 9
6 0
2 years ago
What is x and y math help
Readme [11.4K]
<h3>Answer:</h3>
  • 20 cans of cola
  • 10 cans of root beer
<h3>Step-by-step explanation:</h3>

x and y are whatever you want them to be.

It can be convenient for solving a problem like this to use x and y to represent <em>what the problem is asking for</em>: the number of cans of cola and the number of cans of root beer. It is also convenient (less confusing) to use those variable names in the same order that the nouns of the problem are named:

... x = # of cans of cola

... y = # of cans of root beer

Then the problem statement tells you ...

... x + y = 30 . . . . . . . 30 cans total were bought

... x = 2y . . . . . . . . . . the number of cans of cola is twice the number of cans of root beer

_____

This set of equations is nicely solved by substitution: use the second equation to substitute for x in the first.

... (2y) +y = 30 . . . . . put 2y where x was

... 3y = 30 . . . . . . . . collect terms

... y = 10 . . . . . . . . . divide by 3

... 2y = x = 20

<em>You're not done yet. You need to answer the question the problem asks.</em>

Jared bought 20 cans of cola and 10 cans of root beer.

_____

<em>Comment on x and y</em>

You customarily see x and y as the variables of a problem. Personally, I like to use variables that remind me what they stand for. In this problem, I might use "c" for cans of cola and "r" for cans of root beer. Then when I've found the solution, I know exactly how it relates to what the question is asking.

Always start by writing down what the variables stand for (as we did here). Sometimes, this is called <em>writing a Let statement</em>: <u>Let</u> x = number of colas; <u>let</u> y = number of root beers.

<em>Comment on problems of this type</em>

When a proportional relationship is given between the items in a sum (2 cola cans for every root beer can), it is often convenient to work the problem in terms of groups of items. Here, a group of 3 items can consist of 2 cola cans and 1 root beer can. Then 30 items will be 10 groups, so 10 root beers and 20 colas. The problem is solved even before you can name the variables.

Even when the relationship isn't exactly proportional, you can add or subtract the extras and still work the problem this way. Had we said colas numbered 3 more than twice as many root beers, we could have our groups of 3 total 27 (30 less the 3 extra), giving 9 root beers and 21 colas (3 + 2·9).

8 0
3 years ago
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
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