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Alla [95]
3 years ago
12

which inequality represents the following situation 3/5 times 5 less than a number is no more than 27

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

The answer is \frac{3}{5}(x-5) \leq 27


Let's build the expression piece by piece, translating sentences into formulas:


"3/5 times..." \to \frac{3}{5} \times \ldots


"5 less than a number..." \to x-5 \ldots


So, the first block becomes


"3/5 times 5 less than a number..." \to \frac{3}{5}(x-5) \ldots


"...is no more than 27" \ldots \leq 27


So, putting the pieces together, you have the answer



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Answer:

B

Step-by-step explanation:

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Please help ASAP! Show work please! I will give brainliest!
kirill [66]

-4x/7 > 10

Multiply both sides by 7:

-4x > 70

Divide both sides by -4"

x > 70 / -4

Simplify the fraction:

70/-4 = 35 / -2


Because the fraction is negative you need to reverse the inequality sign:

x < -35/2


The answer is the first one: {x|x < -35/2}

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3 years ago
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price
likoan [24]

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

<u>Exponential Function</u>

General form of an exponential function: y=ab^x

where:

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  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

<u>Part A</u>

<u>Product A</u>

Assuming the function for Product A is <u>exponential</u>:

f(x) = 0.69(1.03)^x

The base (b) is 1.03.  As b > 1 then it is an <u>increasing function</u>.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, <u>product A is increasing by 3% each year.</u>

<u>Part B</u>

\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%

Check using different two consecutive values of f(t):

\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%

Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

  • a = 10,100
  • b = 1.01
  • n = t - 1 (as the initial value is for t = 1 not t = 0)

\implies f(t) = 10100(1.01)^{t-1}

To check this, substitute the values of t for 1 through 4 into the found function:

\implies f(1) = 10100(1.01)^{1-1}=10100

\implies f(2) = 10100(1.01)^{2-1}=10201

\implies f(3) = 10100(1.01)^{3-1}=10303.01

\implies f(4) = 10100(1.01)^{4-1}=10406.04

As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>

4 0
2 years ago
What is the distance between (-6,4) and (-8,6)? Choose 1 answer:
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Answer:

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Step-by-step explanation:

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Substitute:

d=\sqrt{(-8-(-6))^2+(6-4)^2

Evaluate:

d=\sqrt{(-2)^2+(2)^2

Evaluate:

d=\sqrt{4+4}=\sqrt{8}

Hence, our answer is D.

6 0
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vagabundo [1.1K]

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Because <1 was 140°, 2 is 40°. 40°+80°=120°

180°-120°=60°

6 0
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