MATHEMATICS HIGH SCHOOL

HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELLLLLLLLLLLLLLLLLLLLP lucy's tea shop has caffeinated tea and decaffinated tea.The tea shop served 30 teas in all,24 of which were caffeinted.what percentage of the teas were caffeinated?

Answers

Answer 1
Answer:

I use proportions to solve this.

24          x

------ = ------

30       100

Cross multiply and u get 80%.

Hope it helps :)

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Given the system of linear equations: 2x+1/2y=7 6x-1/2y=5 which new equation would be the result of adding the equations together?4x=28x=28x=12y=12
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Find the domain and range of function y = √(−x^{2} −6x+2)

Answers

y=√(-x^2-6x+2)\n\nD:-x^2-6x+2\geq0\n\na=-1;\ b=-6;\ c=2\n\n\Delta=b^2-4ac;\ iff\ \Delta \geq0\ then\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-6)^2-4\cdot(-1)\cdot2=36+8=44;\ \sqrt\Delta=√(44)=√(4\cdot11)=2√(11)\n\nx_1=(6-2√(11))/(2\cdot(-1))=-3+√(11);\ x_2=(6+2√(11))/(2\cdot(-1))=-3-√(11)\n\nlook\ at\ the\ picture\n\nD:x\in\left<-3-√(11);-3+√(11)\right>

Using the ratio of perfect squares method, what is square root of 41 rounded to the nearest hundredth?Do not use your calculator to answer this question. Use the ratio of perfect squares method.

Answers

Hello,

I haven't found the ration of perfect squares methode unless it is to know all square root of numbers <100 (by heart)

As 41 is a primer number, I propose you an other old method (de Héron d'alexandrie)

Explanation:

x²=a
==>2x²=x²+a
==>2x=(x²+a)/x
==>2x=x+a/x
==>x=(x+a/x)/2 that is the recursive formula for the algorithm

Which expression represents 100 divided by an unknown number?A.
100 • p

B.
100 ÷ p

C.
100 – p

D.
100 + p

Answers

The expression that represents that 100 is divided by an unknown number is letter B. Being, 100 ÷ p. The letter p is being represented by the unknown number. Sometimes, the unknown number could use different variables, such as x,y, z and etc.

Answer:

it is b

Step-by-step explanation:

Estimate the value of the square root of 122 to the nearest interger

Answers

Hello,
without any calculator:
Let's x the square root of 122

121<x²<144 ==>11²<x²<12²
==>11<x<12
as 11.5²=11.5*11.5=132.25 ==>11<x<11.5
x is near 11 than from 12
Answer= 11.

Give one real life example of each correlation: positive, negative, and no correlation.

Answers

A real life example of a positive correlation would be to to see an increase of popsicle sales when the temperature is warm. This would increase profit. 

A negative example would be to sell ice cream in the winter time. The temperature outside is cold, therefore people want to eat and drink warmer items. They would probably prefer cocoa at this time.

No correlation would be something like cake. Cake is eaten throughout each year and has never been out of style. This means sales would be steady throughout the year.

For each of these examples, I have attached an image provide showing work to fully understand the problem.

Positive correlation

The number of kids at the playground and the number of swings being used

As the number of kids at the playground increases, the number of swings being used will increase. When both variables increase, they have a positive correlation. Thus, the situation in this problem has a positive correlation.

If we sketch a scatter plot for this situation, notice that the number of kids at the playground would be on the x-axis and the number of swings being used would be on the y-axis.

We can predict that if the number of kids at the playground increases, then the number of swings being used would also increase. Since this is only a sketch, it's not important exactly where our points are. Instead, we simply want to draw the points so our scatter plot has a line of best fit line with an upward of positive slope.

The image for this correlation is the first attachment.

Negative correlation

The amount of time Diaco spends goofing off in class and the grade Dicaco earns in the class

Notice that if the amount of time that Diaco spends goofing off increases, his grade is likely to decrease. When one variable increases and the other decreases, they have a negative correlation. Thus, the situation in this problem has a negative correlation.

If we sketch a scatter plot for this situation, notice that the time goofing off would be on the x-axis and Diaco's grade would be on the y-axis.

We can predict that if Diaco spends little or no time goofing off, his grade will be high and if he spends a lot of time goofing off, his grade will be low. Since this is only a sketch, it's not important exactly where our points are. Instead, we want to simply draw the points so our scatter plot has a line of best fit with a downward or negative slope.

The image for this correlation is the second attachment.

No correlation

The number of pets a family has and the number of kids in the family

Notice that in most cases, the number of pets a family has is not related to the number of kids in the family. Thus, there is no correlation between the number of pets a family has and the number of kids in the family.

If we sketch a scatter plot for this situation, notice that the number of pets a family has would be on the x-axis and the number of kids in the family would be on the y-axis.

Since there is no correlation between the variables, the data points will be spread out and there will be no best fit line.

The image for "no correlation" is the third attachment.

What is the length of the side of a square field whose perimeter is 72 mº.

Answers

Answer:

18 meters

Step-by-step explanation:

"Perimeter" is all 4 sides added together, right?

Since it's a square, all four sides are equal, so the problem looks like this:

s + s + s + s = 72  where s = side length

Before doing any math, can you think of a number that you could add to itself 4 times and get 72?  If not, you get to do some algebra:

s + s + s + s = 72  reduces to:

4s = 72  Then solve for s:

s = 72/4 = 18 m

Check your work by seeing if 4 x 18 = 72.  It does, so the answer is correct.
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