4% as a decimals a decimal point

Answers

Answer 1

Answer: 4% = .04 as a decimal because 40%= .4

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X+y=10 , x+z=20 , y+z=24, x+y+z=???
and why??

Answers

$+\left\{\begin{array}{ccc}x+y=10\nx+z=20\ny+z=24\end{array}\right\ \ \ \ \ add\ both\ sides\n----------\n2x+2y+2x=54\ \ \ \ |divide\ both\ sides\ by\ 2\n\nx+y+z=27$

On my 30th birthday, I plan to light 30 candles on my cake and blow 30% of them.How many candles will stay lit after I'm done?

Answers

Answer:

30% of 30 = 9

Step-by-step explanation:

20 candles will stay lit

Multiply. Check picture.

Answers

The answer is $3x^4-13x^3-x^2-11x+6$ .

Solution:

Use algebraic identity: $a^m* a^n=a^(m+n)$

For example: $x^2* x=x^(2+1)=x^3$

Given expression $(x^2-5x+2)$ and $(3x^2+2x+3)$ .

To multiply these equations.

$(x^2-5x+2)*(3x^2+2x+3)$

$=x^2(3x^2+2x+3)-5x(3x^2+2x+3)+2(3x^2+2x+3)$

$=(3x^4+2x^3+3x^2)+(-15x^3-10x^2-15x)+(6x^2+4x+6)$

$=3x^4+2x^3+3x^2-15x^3-10x^2-15x+6x^2+4x+6$

Combine like terms together.

$=3x^4+(2x^3-15x^3)+(3x^2-10x^2+6x^2)-15x+4x+6$

$=3x^4-13x^3-x^2-11x+6$

$(x^2-5x+2)*(3x^2+2x+3)=3x^4-13x^3-x^2-11x+6$

Hence the answer is $3x^4-13x^3-x^2-11x+6$ .

Jana and her friend bought 4 hamburgers, 3 orders of fries, and 2 milk shakes for $3 each. They paid for the food with $20. Which part of the equation represents the total cost of their items? Justify your answer. c = $20 - (4h + 3f + 6)

A) $20; They paid $20 for the food.
B) (4h + 3f); Find the total cost by adding the price of 4 hamburgers to the price of 3 fries
C) 4h + 3f + 6; Find the total cost by adding the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.
D) c = 20 - (4h + 3f + 6); Find the total cost by subtracting the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.

Answers

For this case we have the following variables:

h: Cost of each hamburger bought by Jana and her friend

f: Cost of each order of potato chips bought by Jana and her friend

b: Cost of each milkshake

If you bought 4 hamburgers, 3 orders of potatoes and 2 milkshakes, you have a cost of:

$Cost = 4h + 3f + 2b$

It is known that each shake costs $ 3, so $b =3$ $

Substituting we have:

$Cost = 4h + 3f + 2 * 3$

$Cost = 4h + 3f + 6$

Thus, the total cost is given by:

$Cost = 4h + 3f + 6$

Answer:

$Cost = 4h + 3f + 6$

Option C

I believe the correct answer is C

Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total weight was 2.3 pounds and cost $6.03.How many pounds of carrots and how many pounds of crackers did Glen buy? A.0.5 pounds of carrots; 1.8 pounds of crackers B.0.8 pounds of carrots; 1.5 pounds of crackers C.1 pound of carrots; 1.3 pounds of crackers D.1.5 pounds of carrots; 0.8 pound of crackers

Answers

You can solve this problem by adding/subtracting expressions.

You have two expressions here: x + y = 2.3 and 2.1x + 2.9y = 6.03

The goal is to get rid of one of the variables because when there are two variables it's pretty impossible to figure them out when you don't know either. To do this you need to add or subtract the expressions. To do that you need to make one of the variables the same in both expressions.

Let's make the x's the same. So in one problem you have x and in the other you have 2.1x. You want to multiply the x by 2.1 so they are both 2.1 x. To do that you have to multiply the whole expression by 2.1 which would be 2.1(x + y) = 2.3(2.1) which equals 2.1x + 2.1y = 4.83.

Now you have two expression 2.1x + 2.1y = 4.83 and 2.1x + 2.9y = 6.03. Change the first one to all negatives to subtract it. 2.1x + 2.1y = 4.83 becomes -2.1x - 2.1y = -4.83. Now you can subtract the expression like this.

2.1x + 2.9y = 6.03
-2.1x - 2.1y = -4.3
________________
0x + 0.8y = 1.2 or 0.8y = 1.2 (Hooray the x is gone!)

Now you just finish solving it.

0.8y = 1.2
y = 1.2/0.8
y = 1.5

y represented the crackers so whatever answer has 1.5 crackers is the correct one

Write a recursive formula for the sequence 8, 10, 12, 14, 16, ... Then find the next term.