A small Learning Center holds 24 less students than the larger Learning Center. Together the learning centers hold seventy-two students. How many students does each Learning Center hold?
The larger Learning Center can hold 48 students and the smaller Learning Center can hold 24 students.
Explanation:The key to solving this problem is to first express it as two linear equations. Let's denote the number of students the small Learning Center holds as S and the number of students the larger Learning Center holds as L.
The problem provides us with two facts:
The small Learning Center holds 24 less students than the larger one, we can express this as: S = L - 24.Together, both Learning Centers hold seventy-two students, so we can express this as: S + L = 72.Now, we can solve these two equations simultaneously.
Substitute S from the first equation into the second: (L - 24) + L = 72, simplify to: 2L = 96
Thus, L = 48. This means the larger Learning Center can hold 48 students. Substitute L=48 into our first equation to find S: S = 48 - 24 = 24. So, the small Learning Center can hold 24 students.
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find the value of this expression if x= -6 and y=1. xy^2/-7
what number must you add to complete the square? x2-20x=17
A. 100
B. -10
C.-100
D. 10
Answer:
The number is 100
A is correct
Step-by-step explanation:
Given: [tex]x^2-20x=17[/tex]
We need to make completing square at left side.
Rule: We add a number " take half of the coefficient of x and then square it"
Coefficient of x = 20
Half of 20 = 10
Square of 10 = 100
So, we will add 100 both sides make completing square.
Now we make completing square to add 100
[tex]x^2-20x=17[/tex]
Add 100 both sides
[tex]x^2-20x+100=17+100[/tex]
Now we will factor left side perfect square
[tex]a^2-2ab+b^2=(a-b)^2[/tex]
[tex](x-10)^2=117[/tex]
[tex](x-10)^2[/tex] is completing square or perfect square.
Hence, The number is 100
what Is 12 divided by 1/3
find the missing dimension. use the scale factor 5:8
Negative numbers do not need the negative sign (-) in front of them. True False
Answer: False.
Explanation: All negative number need the negative sign (-) in front of them because if there is no sign, than the negative number would turn out to be a positive number.
a car is driving a cross-country traveled 180 miles in 4 hours. at this rate of speed, how many miles farther will the car travel in the next three hours?
A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the boat in still water, if it covers 70 km with the current in 3.5 hours?
(its not 20 i tried)
Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Sample Adventure Beach Cruise Ski A 73 4 18 3 B 71 6 22 1 Which of the following inferences can be made based on the data?
Most members prefer a beach vacation.
Most members prefer a cruise vacation.
More members prefer a cruise vacation and a ski vacation than a beach vacation.
More members prefer a beach vacation and a cruise vacation than an adventure vacation.
Answer:
More members prefer a cruise vacation and a ski vacation than a beach vacation.
Step-by-step explanation:
which is a ABBC pattern?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Step-by-step explanation:
a window cleaner charges a call out fee of £3 plus 25p per square metre of glass cleaned. a front window in a butcher's shop measures 3.5 m by 6 m. how much does it cost to get 2 of these windows cleaned?
how to tell whether its a prime or composite number
Step-by-step explanation: You know that it is a prime if the only number divisible by the number is one. If there are more numbers than 1 then it is composite.
triangle ABC is similar to Triangle d e f if the perimeter of a triangle ABC is 24 in what is the perimeter of triangle d e f a b c has one length of 9 inches and d e f has one length of 6 in
The equation yˆ=0.09x+55.64 models a person's height, in inches, where x is the weight of the person in pounds. According to the regression equation, what is the approximate height of a person that weighs 160 pounds?
Answer:
Height is 70.04 inches.
Step-by-step explanation:
Given that the equation
[tex]yˆ=0.09x+55.64[/tex] models a person's height, in inches, where x is the weight of the person in pounds.
We have to find out the approximate height of the person that weighs 160 pounds
Algebraically we have to find y for x = 160
Substitute for y in the given equation.
[tex]y=0.09(160)+55.64\\y=70.04"[/tex]
which expression is equivalent 121x^2-64y^2 ?
Determine the average rate of change from 0 to 4 for the function f(x)=2^x-3
Which of the following is a statistical question?
A.
How much money is in Althea's pocket?
B.
How tall is the tallest building in the United States?
C.
What is the temperature in the refrigerator?
D.
What were the grades on the history final exam?
Which system of equation can represent the equation?
Of the 3,558 people impaired drivers killed in 2009 (not counting the drivers themselves) death were preventable
Final answer:
The preventable nature of deaths caused by impaired driving, emphasizing the impact of alcohol and other risky behaviors on driving safety.
Explanation:
Each day in the United States, over 8 people are killed and 1,161 injured in crashes reported to involve a distracted driver, highlighting a significant public health concern. There is a noted problem with young drivers getting into serious automobile accidents, contributing to many preventable deaths.
It has been estimated that 35 percent of all U.S. early deaths in 2000 could have been avoided by changing just three behaviors, with alcohol being a significant contributing factor to risky behavior on the roads.
In 2014, alcohol-impaired driving fatalities accounted for 9,967 deaths, which is 31% of overall driving fatalities, underscoring the critical need for improved driving safety measures and individual behavior changes to reduce these numbers.
Determine which function has the greatest rate of change over the interval [0, 2].
Answer:
what the other guy said
Step-by-step explanation:
What best describes the expression y over 3?
A. 3 more than some number
B. Some number times 3
C. Some number divided by 3
D. 3 less than some number
0.16+0.45 eaqkesbnnn
Please Help ASAP! Would be greatly appreciated.
Hi,
The answer G represents -24/8 the best because it is dividing it into eight parts.
Hope this helps you.
The median and interquartile range of a set of data is shown. Write a set of data consisting of seven values for the pair of measures.
Median: 5 Interquartile Range: 5
Put the following equation in slope intercept form. 10x - 5y = -20 Is the correct answer y = 2x + 4?
What is the size of the angle in the shaded triangle marked by the arrow
A student attempted to generate an equivalent expression using the distributive property, as shown below:
6(m + 3) = 6m + 3
What was the mistake made?
A. 6 was not multiplied by m
B. Incorrect sign was used for the first term
C. Incorrect sign was used for the second term
D. 6 was not multiplied by 3
triangle ABC is similar to Triangle XYZ.
AB=9.7, BC=9.6, AC=15.1
YZ=118.8, Find XZ
triangle ABC is similar to Triangle XYZ.
AB=9.7, BC=9.6, AC=15.1
YZ=118.8, Find XZ
Plzz help me
Match the system of the equation to the number of solutions.
y = 5
2x - 2/3y = 10
1. No solutions
2. One solution
3. Infinite solutions
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!!
Mr. McClellan compared the weights (in pounds) of pairs of elk antlers dropped at Mount St Helens NVM and Rocky Mountain NP. He tabulated them in the following data table.
Weight of elk antler pairs at Mount St Helens NVM:
{34, 34, 30, 30, 30, 28, 28, 26}
Weight of elk antler pairs at Rocky Mountain NP:
{40, 38, 36, 36, 36, 36, 34, 32}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each area of collection.
(c) Calculate the means-to-MAD ratio for the two areas of collection.
(d) What inference can be made about the areas in regard to weight of dropped elk antlers? Explain
A) The two line plots are attached.
B) In order to calculate the mean, you have to sum all the values and divide it by the number of values:
m(MSH) = (34 + 34 + 30 + 30 + 30 + 28 + 28 + 26) ÷ 8
= 240 ÷ 8
= 30
m(RM) = (40 + 38 + 36 + 36 + 36 + 36 + 34 + 32) ÷ 8
= 288 ÷ 8
= 36
In order to calculate the mean absolute deviation (MAD), you need to calculate the absolute values from the mean, sum them up and divide it by the number of values; the absolute values of the difference from the mean are:
MSH = {|34-30|, |34-30|, |30-30|, |30-30|, |30-30|, |28-30|, |28-30|, |26-30|}
= {4, 4, 0, 0, 0, 2, 2, 4}
RM = {|40-36|, |38-36|, |36-36|, |36-36|, |36-36|, |36-36|, |34-36|, |32-36|}
= {4, 2, 0, 0, 0, 0, 2, 4}
Therefore,
MAD(MSH) = (4 + 4 + 0 + 0 + 0 + 2 + 2 + 4) ÷ 8
= 16 ÷ 8
= 2
MAD(RM) = (4 + 2 + 0 + 0 + 0 + 0 + 2 + 4) ÷ 8
= 12 ÷ 8
= 1.5
C) In order to calculate the mean-to-MAD ratio, you need to simply divide the mean by the MAD:
r(MSH) = 30 ÷ 2 = 15
r(RM) = 36 ÷ 1.5 = 24
D) We can say that in Mount St Helens NVM elk antlers pairs are lighter but with a bigger variability (which means that they tend to be weight differently from each other), while in Rocky Mountain NP elk antlers pairs are heavier, but with less variability (which means that they tend to be similar to each other).
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