Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
2. A display window consists of a stacked pyramid of books for sale. The bottom row has 27 books. Each row has two fewer books than the row below it. The display has 13 rows (a) Write and use a function to determine how many books are in the top row. Show your work. (5 points ) (b) Use the appropriate formula to determine the number of books in the entire display. Show your work . (4 points )
Answer:
A) 1
Step-by-step explanation:
A) 27 ÷ 13 = 1
B) if you take away 2 from "27", "13" times you will get 1 as the final answer.
I hope this helps, if I'm wrong please do correct me.
Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.
Answer:
jk
Step-by-step explanation:
the mean of the numbers 5, 2x, 4 and 3 is 5 find the value of x
Answer:
X=4
Step-by-step explanation:
(5+4+3+2x)/4=5
(12+2x)/4=5
12+2x=20
2x=8
X=4
Given the equation of the circle what is the radius? (x-9)2+ (y+5)2 = 36
Answer:
6
Step-by-step explanation:
In a circle equation, the radius can be found by taking the square root of the r² value.
In this equation, the r² value is 36.
Take the square root:
√36
= 6
So, the radius is 6.
the sum of four consecutive even integers is 256. what are the numbers?
no troll ones, please! those who do attempt to will get reported immediately !
Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
~
Write the decimal number that has the specified place values.
3 ones, 0 hundredths, 5 tens, 2 hundreds, 9 tenths
The number is
Answer:
253.90
Step-by-step explanation:
us matrix method to solve the
3y+2x=13
2y+3x=0
Answer:
13
Step-by-step explanation:
3y+2x=13
2y+3x=0
∴3y+2x+2y+3x=13+0
∴3y+2y+2x+3x=13
∴5y+5x=13
Hope this helps you mate!
Pls mark as Brainliest
Answer:
the above ans is true
Step-by-step explanation:
uu can do it
A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once?
Answer:
60 different permutations of these letters can be made.
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many different permutations of these letters can be made if no letter is used more than once?
3 letters from a set of 5. So
[tex]P_{(5,3)} = \frac{5!}{(5-3)!} = \frac{5!}{2!} = 5*4*3 = 60[/tex]
60 different permutations of these letters can be made.
The table below shows Michaels' income and expenditure for the month of
April 2021. Study the table and answer the questions that follow.
Income
Amount
Andont
R15 435.20
Funeral Plan
Salary
Expenses (Variable)
R 200
R2050
Rent
Petrol
Air Time
Food (Groceries)
Clothing
R 500
R 350
R 400
R 700
School Fees
Car Repayment
Car Insurance
Total Expenditures
R600
R4 500
R 317
A
Entertainment
R 900
R 300
Toiletries
B
Money Left Over
1.1.1 Determine the values of A and B.
Use the value of B to decide whether the family is using the money wisely (2)
4. It was 68.7°F at midday, then it rose 9°F in the afternoon and dropped another 12.3°F by 7:00 p.m. What was the temperature at 7:00p.m.?
The temperature rose so you add the amount it rose to the starting temperature
68.7 + 9 = 77.7 degrees
It then dropped so mow you subtract t the amount it dropped:
77.7 - 12.3 = 65.4 degrees
The answer is 65.4 degrees
Use the accompanying data set to complete the following actions.
a. Find the quartiles.
b. Find the interquartile range.
c. Identify any outliers.
55 56 61 58 63 58 65 59 64 58 54 63 63 57 75
Find the quartiles.
First Q1 is _
Second Q2 is _
Third Q3 is_
Answer:
Kindly check explanation
Step-by-step explanation:
Ordered data:
54, 55, 56, 57, 58, 58, 58, 59, 61, 63, 63, 63, 64, 65, 75
Sample size, n = 15
Q1 = 1/4(n+1)th term
Q1 = 16/4 = 4th term = 57
Q2 = 1/2(n+1) th term
Q2 = 16/2 = 8th term = 59
Q3 = 3/4(n+1)th term
Q3 = 3/4(16) = 12 th term = 63
Interquartile range = Q3 - Q1 = 63 - 57 = 6
Outlier :
LOWER = Q1 - (1.5 * IQR) = 57 - (1.5*6) = 48 ; values below 48
UPPER = Q3 + (1.5 * IQR) = 63 + (1.5*6) = 72 ;
Values above 72
Outlier = 75
.A national survey of companies included a question that asked whether the company
had at least one bilingual telephone operator. The sample results of 90 companies follow (Y
denotes that the company does have at least one bilingual operator; N denotes that it does
not).
Use this information to estimate with 95% confidence the proportion of the population that does have at least one bilingual operator.
Answer:
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
90 companies. 30 have at least one billingual operator.
This means that [tex]n = 90, \pi = \frac{30}{90} = 0.3333[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 - 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.2359[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 + 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.4307[/tex]
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
Select Yes or No to state whether each data set is likely to be normally distributed
Answer:
No
Step-by-step explanation:
no more animals in zoo
no average of animals at San Diego zoo is high
no visitors are more than 2k
Answer:
Step-by-step explanation:
average age of an elephant at a zoo- YES
number of elephants at the San Diego Zoo- NO
number of daily visitors at the San Diego Zoo- YES
took the test :)
URGENT HELP! SOLVE FOR A
answer choices : 24.6
27.8
18.7
44.2
9514 1404 393
Answer:
(b) 27.8
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(22°) = a/30
a = 30×cos(22°) ≈ 27.8
What two solid figures have the same volume
When a coin is tossed it is either heads or tails. Suppose heads has a point value of 1 and tails a point value of -1. if the sum of the point value after 50 tosses is 14. How many of the tosses must have been heads?
Answer:
32
Step-by-step explanation:
Totally there are 50 tosses.
Let the number of tosses which resulted head be x.
Therefore the number of tosses which resulted tail is 50−x.
We get x×1+(50−x)×(−1)=14
x−(50−x)=14
x−50+x=14
x=32
One difference between objects and data types is that it is usually not meaningful to compare the identities of separate instances of data types, but for objects it is valuable to compare separate object identities. Group of answer choices
Answer and explanation:
Question isn't complete but explanation is given below based on what you may be asking.
Answer and Explanation:
First, An object is a data type but is quite different from the usual or primitive data types such as string or integers. An object is based on object oriented programming(OOP) and is a sort of abstract data type which is usually defined by the programmer(some are inbuilt in the language). Objects are usually defined using classes and then become instances of those classes. Objects have identities(e.g- a dog has a name Zeus) and be compared to other objects of same class(other instances) while data types are not as well equipped to have identities, properties or methods that are user defined in order to make comparisons.
what is this equation, equivalent to c(x)=(x+6)^2+14
Work Shown:
c(x) = (x+6)^2+14
c(x) = (x+6)(x+6)+14
c(x) = x(x+6)+6(x+6)+14
c(x) = x^2+6x+6x+36+14
c(x) = x^2+12x+50
PLEASE HELP ITS TIMED!! Which function is represented by the graph?
A)f(x) = -|x - 3l+ 4
B)f(x) = -lx + 3l+ 4
C)f(x) = -lx - 4l+ 3
D) f(x) = -lx + 4l+ 3
1 Joseph weighs 100 pounds and his sister weighs 100 pounds. How much do they weigh together? 15 a. 4 200 pounds 4 100 15 15 pounds b. d. 2 200 pounds 20 5 200 pounds 15 Please select the best answer from the choices provided O A OB Ос D
In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly
there seems to be missing text
Find st to the nearest tenth please helppppp
The answer of s is 79'
Good luck :)))
find the difference of the value of the two 6's in the number 6060 ?
Answer:
5940
Step-by-step explanation:
The first '6' represents '6000' and the second represents '60.'
Thus the difference of the values of the two '6s' is 6000 - 60 = 5940.
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 3 1/2
inches. What is the surface area?
Answer:
[tex]Area = 138in^2[/tex]
Step-by-step explanation:
Given
[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]
Required
The surface area
This is calculated as:
[tex]Area = 2(LW + LH + WH)[/tex]
So:
[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]
[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]
[tex]Area = 2*69[/tex]
[tex]Area = 138in^2[/tex]
A sample of 2,000 was sought to estimate the average achievement in science of fifth graders in a city’s public schools. The average fifth grade enrollment in the city’s elementary schools is 100 students. Thus, 20 schools were randomly selected and within each of those schools all fifth graders were tested. What sampling technique was used?
Answer:
"Clustering sampling" is the correct answer.
Step-by-step explanation:
If our entire demographic has been separated into segments or groupings, people employ clustering sampling. Those same groupings constitute diverse structurally and therefore are necessarily the same thing uniform.Researchers choose certain of the globular groupings, which are taken throughout the sampling one for each of the specified cluster centers.I don't get it please Help me
Step-by-step explanation:
A. 2(x+4)=2x+8
=G
B. 3(2x-1)=6x-3
=I
C. 4(x+2)=4x+8
=J
D. 2(x+3)=2x+6
=K
E. 3(4x+1)=12x+3
=H
A - G
B - I
C - J
D - K
E - H
HOPE IT HELP
Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s)
Answer:
The speed is 60 mph.
Step-by-step explanation:
distance = 42 miles
Let he drove with speed v and time is t.
distance = speed x time
42 = v t ..... (1)
42 = (v + 10)(t - 1/10) ..... (2)
[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]
So, the speed cannot be negative so the speed is 60 mph.
two factor of a number are 5 and 6 .what is the number
Answer:
30
Step-by-step explanation:
Have a nice day ;]
Answer:
The number is obviously 30 as the prime factors of 30 are 5 and 6 again 5 and 6 can also be factors of any multiples of 30 such as 60 180 900
Hope it helps
{2x + y = -1}
{3x- 5y + -21}
Answer:
(-2, 3).
Step-by-step explanation:
2x + y = -1
3x- 5y = -21
Multiply the first equation by 5:
10x + 5y = -5 Adding this to the second equation:
13x = -26
x = -2.
Substituting this into equation 1:
2(-2) + y = -1
y = -1 + 4 = 3.
Checking this result in the second equation:
3(-2) - 5(3)
= -5 - 15 = -21
- Checks OK.
1. After you retire in 17 years your goal is to have $100,000 in your investment account that earns 8% compounded annually. How much money would you need to deposit now to reach this goal
9514 1404 393
Answer:
$27,026.90
Step-by-step explanation:
The future value formula can be solved to find the present value required.
FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years
$100,000 = P(1 +0.08)^17
P = $100,000/3.70002 . . . . divide by the coefficient of P
P = $27,026.90
You would need to deposit #27,026.90 now to reach this goal.