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Lelechka [254]
3 years ago
7

What is the sum in simplest form? 5 3/4 + 2 1/2 A) 7 4/6 B) 7 2/3 C) 8 1/4

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

5 3/4 + 2 1/2

Add the whole numbers first

5 + 2

Add the fractions next

3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 and 1/4

The total is

7 + 1 1/4 = 8 1/4

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sammy [17]
The nearest whole number would be 93 because you round up if the decimal place is greater than 5 and down if it's less.
5 0
3 years ago
What is the solution of x=2+ square root x-2?
alex41 [277]

So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

x-2=\sqrt{x-2}

Next, square both sides:

(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2

Next, subtract x and add 2 to both sides of the equation:

x^2-5x+6=0

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

x^2-2x-3x+6=0

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

x(x-2)-3(x-2)=0

Now you can rewrite the equation as (x-3)(x-2)=0

Now, apply the Zero Product Property and solve for x as such:

x-3=0\\x=3\\\\x-2=0\\x=2

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}

Since both solutions hold true when x = 2 and x = 3, <u>your answer is C. x = 2 or x = 3.</u>

8 0
3 years ago
Wes wants to buy 3 pepper plants from the garden center. The regular price of a pepper plant
Nataly_w [17]
The sale price of 3 pepper plants after a 20% discount is $3

The regular price of one pepper plant is $5 if Wes wants to buy 3 pepper plants 5x3 is 15 and since he can use a 20% off coupon on the pepper plants. 20% of 15 is 3 meaning the sale price for 3 pepper plants after using the 20% discount coupon is $3.
6 0
3 years ago
Read 2 more answers
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
NISA [10]

The <em>exponential</em> function y = 290 · 0.31ˣ reports a decay as its <em>growth</em> rate is less than 1 and greater than 0. Its <em>percentage</em> rate of decrease is equal to 69 %.

<h3>How to determine the behavior of an exponential function</h3>

<em>Exponential</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. The <em>simplest</em> form of <em>exponential</em> functions is shown below:

y = a · bˣ     (1)

Where:

  • a - Initial value
  • b - Growth rate
  • x - Independent variable.
  • y - Dependent variable.

Please notice that this kind of <em>exponential</em> function reports a <em>growth</em> for b > 1 and <em>decay</em> for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a <em>decay</em>.

The <em>percentage</em> rate of decrease is determined by the following formula:

100 × (1-0.31) = 100 × 0.69 = 69 %

The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.

To learn more on exponential functions: brainly.com/question/11487261

#SPJ1

7 0
1 year ago
Justin receives $15 and puts it into his savings account. He adds $0.25 to the account each day for a number of days, d, after t
MAVERICK [17]

Answer:

expression a

Step-by-step explanation:

The given expression is 15+0.25(d−1).

let suppose,

15 = a

0.25(d−1) = b

we get  a + b

It clearly indicates the given expression is sum of two entities, we can exclude  option b and option d.

Now we are left with option a and c, for that we have to evaluate the term b

b = 0.25(d−1) <u>that is the additional amount after d days</u>

Therefore, expression a is correct.

4 0
3 years ago
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