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2 years ago

The inequality 7-2/3x < x-8

1 answer:

8 0

Am going to presume you want it solved.
Please pardon my presumption

7 - (2/3)x < x - 8, Take all the x to one side of the inequality
-(2/3)x-x < - 8 -7
-(5/3)x < - 15 Divide both sides by -5/3 and inequality sign changes

x > (-15)/(-5/3)

x > 15 * 3/5 . 5 into 15 is 3.

x > 3*3

x > 9

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I will use fancy gold and red wrapping paper for two packages i have to wrap. I will use 1 2/4 yard of paper for one of the boxe

Allisa [31]

Well you need first 1 2/4 of a yard. Then you will need 5/6 of a yard. But first you need to put them together. So we need to find the common denominator. Six and four both share which multiple? Twelve. So let's rewrite that. You need 1 6/12 yards + 10/12 yards of wrapping paper. But before we do anything else we need to fix the mixed number. 1 6/12 isn't as easy to add ad 18/12 is. So 18/12 + 10/12 = 28/12
That can simplify as well. Now it's 14/6 which is equivalent to the fraction we had before. But it can also go down to 2 2/6. Now we can simplify it even further. By dividing it by two we can get 2 1/3. These are the measurements we need. So you would need how many thirds? Seven. (2 1/3 is seven thirds) This is your final answer.

You would need to have seven peices of wrapping paper cut to wrap both gift boxes.

6 0

2 years ago

An orchestra has twice as many woodwind instruments as brass instruments. there are a total of 150 brass and woodwind instrument

Novay_Z [31]

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I hope this helps you!

3 0

2 years ago

Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the p

Gelneren [198K]

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

$P_f=P_o*(1+\frac{R}{100} )^t$

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%$

STEP 2 - Find the <em>t</em> for population 250,000 people.

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36$

Read more about the population growth equation here:

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7 0

1 year ago

√5²+12²=∛64α³ wprk out the value of a

antiseptic1488 [7]

Answer:

149

−

149

−

149

√

−

149

√

Step-by-step explanation:

4 0

2 years ago

Please help!! <br> my teacher didnt explain anything lol

Sergeeva-Olga [200]

The correct match will be closest to zero = x-y , greatest value = x + y and least value = -x

<h3>What is graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The vertical line is representing the data from 0 to 8 positive side and 0 to -8 negative side. We can see that the closest value to zero will be x-y

the least value will be -x and the greatest value is x + y.

Each interval is of unit 2 so the values x and y will be 4 and 2 respectively

closest to zero = x-y = 4-2 = 2

greatest value = x + y = 4+2 = 6

least value = -x = -4

Therefore the correct match will be closest to zero = x-y , greatest value = x + y and least value = -x

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5 0

1 year ago