Two numbers have a difference of 0.7 and a sum of 1. what are the numbers?
Answers
let x = first number and y = second number
From the problem statement, we set up equations.
Equation 1 - the numbers have a difference of 0.7
x - y = 0.7
Equation 2 - the numbers have a sum of 1
x + y = 1
Solving for x and y via substitution method,
x - y = 0.7
(1-y) - y = 0.7
1 - 2y = 0.7
-2y = 0.7 - 1 = -0.3
y = 0.15 or 3/20
x - 0.15 = 0.7
x = 0.85 or 17/20
Thus, the two numbers are 0.15 and 0.85.
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The cost for a company to manufacture x bracelets can be represented by the function c(x). complete the sentence belowIf c(256)=1536, then the cost of the company is $ _______ to manufacture ____________ bracelets. Answer 1: _______ Choices: 1536, 256 Answer 2 Choices: 1536, 256
Prove: sin θ - sin θ•cos2 θ = sin3 θ. You must show all work.
I'm having a hard time with this one solve for y 3y+7=28?
Someone help please?Two students are using estimation to determine reasonable solutions to the expression 89.1 x 9.3 Katie uses the 99 x 10. Amaya uses the expression 89 x 9. A.Which is the best comparison of the estimates and the actual product? B.Both estimates will be less than the original product.C. Both estimates will be greater than the original product.Katie’s estimate will be less than the actual product, and Amaya’s estimate will be greater than the actual product.D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product.
Answers
Answer:
-2700°
Step-by-step explanation:
- 1 rotation is 360°, also
- Counterclockwise angles are POSITIVE ANGLES & Clockwise angles are NEGATIVE ANGLES
7.5 rotations is degrees
and since it is clockwise, the angle is negative.
Hence, 7.5 rotations clockwise means -2700°
(2) (p^2 - 9)(p^2 - 9)
(3) (p^2 + 9)(p + 3)(p - 3)
(4) (p + 3)(p - 3)(p + 3)(p - 3)
Answers
p⁴ + 9p² - 9p² - 81
p²(p²) + p²(9) - 9(p²) - 9(9)
p²(p² + 9) - 9(p² + 9)
(p² - 9)(p² + 9)
(p² + 3p - 3p - 9)(p² + 9)
(p(p) + p(3) - 3(p) - 3(3))(p² + 9)
(p(p + 3) - 3(p + 3))(p² + 9)
(p - 3)(p + 3)(p² + 9)
The answer is (3).
Final answer:
The expression p^4 - 81, when factored completely, is equivalent to (p^2 + 9)(p^2 - 9) using the difference of squares formula.
Explanation:
When the expression p^4 - 81 is factored completely, it becomes equivalent to (p^2 + 9)(p^2 - 9). This can be calculated using the rule of difference of squares which states that a^2 - b^2 = (a - b)(a + b). Here, p^4 can be considered as a square of p^2 and 81 as a square of 9. Hence p^4 - 81 = (p^2)^2 - 9^2. Applying difference of squares formula we get (p^2 - 9)(p^2 + 9).
Learn more about Factoring Expressions here:
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How many lemonade should he put in each cup?
Marcos should put_____ ounces in each cup.
Question 2: Kainoa collects trading cards. he has 1,005 baseball cards, 702 basketball cards, and 885 football cards. And he wants to put them all in albums. Each page holds 18 cards.
How many pages will he need to hold all of his cards?
Kainoa will need_____ pages.
Answers
Answer:
First one 31 oz
Second one 144 pages
Step-by-step explanation:
First one
Divide 434 by 14 (434/14) to get how many oz in a cup since its 14 oz per cup and he has 434 oz
Second one
Add up all the cards since it says "all of his cards" (2592) and divide it by 18 since each page holds 18 cards
Answers
it will be -5x+2=7
let's ignore the less than sign, so it will be -5x=7-2
; -5x=5
; x=-1
If the question asks you to graph it, you will graph -1 less than 7 or -1∠7
i'm sorry that i cant find the less than sign
|-5x + 2| < ±7
|-5x + 2| < 7 or |-5x + 2| < -7
-5x + 2 < 7 or -5x + 2 < -7
- 2 - 2 - 2 - 2
-5x < 5 or -5x < -9
-5 -5 -5 - 5
x < -1 or x < 1⁴/₅
Answers
I think I would be 48 steak knives
Seeing as this question was asked a long time ago, I'm gonna use it as free points- ;w;
Answers
Answer:
Nine hundred and fifty four thousandths.
Step-by-step explanation:
We have to write.954 in the written form. As, .954 is the decimal number and not the whole number therefore we have to mention "th" at the end of the written form. Whenever we have to write the decimal number is written form, just add "th" in the end..954 in written form can be written as:
Nine hundred and fifty four thousandth.