Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.
2x+5y=16
-5x-2y=2
Answer:
\(\huge\boxed{(2,4)}\)
Step-by-step explanation:
2x + 5y = 16 ------------------(1)
-5x -2y = 2 ------------------(2)
Multiplying (1) by 5
5(2x+5y) = 16*5
10x+25y = 80 ----------------(3)
Multiplying (2) by 2
2(-5x-2y) = 2*2
-10x - 4y = 4 -----------------(4)
Adding Eq. (3) and (4)
10x + 25y -10x -4y = 80 + 4
25y - 4y = 84
21y = 84
Dividing both sides by 21
y = 4
\(\rule[225]{225}{2}\)
Now, Putting y = 4 in Eq. (1)
2x + 5(4) = 16
2x + 20 = 16
2x = 20 - 16
2x = 4
Dividing both sides by 2
x = 2
\(\rule[225]{225}{2}\)
Ordered Pair = (x,y) = (a,b) = (2,4)
\(\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807Answer: you’re 100% correct
Step-by-step explanation:I got this question right on my quiz
which aniaml traveled at a rate of 1.5 meter per minute
Answer:
A turtle.
Step-by-step explanation:
convert 1/9 and 2/9 into decimals
Answer:
1/9 = 0.111
2/9 = 0.222
Step-by-step explanation:
1/9 = 0.111
2/9 = 0.222
Answer:
Step-by-step explanatioN
1/9 = WE DIVIDE 1 ÷ 9 WE GET 0.1111111111
0.1111111111 TO ONE SIGNIFICANT FIGURE = 0.1
TWO SIG.FIG = 0.11 T
HREE SIG.FIG 0.111
2/9= WE DIVIDE 2 BY 9 WE GET 0.22222222
SO WE ROUND TO ONE SIG .FIG.
RATE ME AND THANK ME
Tracy received a $21.00 gift card for phone apps. She
has used $9.00 of the value and wants to buy one
more app from the list shown to use up the balance.
Complete the bar diagram and use the equation
$21.00 = x + $9.00 to determine which app she
should buy.
Pls help
Which of these are polygons?
Answer:
B , C , D are polygons.Can someone help please
Answer:
\(10^{-3}\)
Step-by-step explanation:
Answer:
https://tex.z-dn.net/?f=10%5E%7B-3%7D
Step-by-step explanation:
Find the slope.
(attached photo)
Answer:
slope(m)=2
Step-by-step explanation:
2/1 or 2
Step-by-step explanation:
3 - -1
3 - 1
4/2 = 2/1 or 2
What is the value of x?
Enter your answer in the box.
mm
Answer:
1938
Step-by-step explanation:
PLS PLS PLS HELP!!!! THIS IS DUE TODAYYYYY!!!!!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS OR YOU WILL BE REPORTED!!!! I AM GIVING BRAINLIEST!!!!
What is the value of x in the equation 2(x+8) - 4x = 10x +4? A.5 B.1 C.8 D.12
Answer:
x = 1
Step-by-step explanation:
2 (x=8) -4 = 10x +4
2x+16-4x=10x+4
-2x+16=10x+4
-2x-10x=4-16
-12x=-12
x = 1
Cscx=cscx+secx/1+tanx
Answer:
\(\csc \left(x\right)=\frac{\csc \left(x\right)+\sec \left(x\right)}{1+\tan \left(x\right)}\)
\(=\frac{1}{\sin \left(x\right)}\) (expressed with sine and cosine)
\(\frac{1}{\sin \left(x\right)}=\csc \left(x\right)\)
\(=\csc \left(x\right)\)
Therefore, the identity has been proven true.
A marketing firm obtained random samples of 20 people in five regions of the country to investigate the level of interest in a new product. People in the sample were asked to rate their level of interest on a scale from 1 to 10, with 1 being the least amount of interest and 10 being the greatest. The histograms show the results for each region. The graph for which region displays data for level of interest with the least standard deviation?.
Without the histograms, there's no specific region as an answer. However, you can follow these steps to determine the region with the least standard deviation in level of interest based on the provided data.
To determine the region with the least standard deviation in level of interest, we need to analyze the histograms for each region. Standard deviation is a measure of how spread out the data is. The region with the least standard deviation will have data points that are more closely clustered around the mean (average) level of interest.
1. Examine the histograms for each region.
2. Look for the region where the data points are more tightly grouped around the mean level of interest. This indicates less variability and a smaller standard deviation.
3. Identify the region with the least standard deviation in level of interest.
To determine the region with the least standard deviation in the level of interest, examine the histograms for each region and identify the one where data points are tightly clustered around the mean level. Calculate the standard deviation for each region and select the region with the smallest value, indicating a more concentrated and less variable distribution of the level of interest.
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what is the value of x
Answer:
x=55⁰
Step-by-step explanation:
the line js supplementary so 180-125= 55
pls vote brainliest
help please !! im clueless
The three angles above the bottom line are supplementary, so they add up to 180° in measure:
2x° + 90° + x° = 180°
3x° + 90° = 180°
3x° = 90°
x = 30
The angles with measure x° and 2y° are congruent, since they form a pair of interior angles that alternate with respect to the transversal (in this case, this is the ray that starts from the bottom line and point up and to the right, and passes through the parallel upper line). So
2y° = x°
2y° = 30°
y = 15
Below the upper line, the two angles 2y° and z° are supplementary, so
2y° + z° = 180°
30° + z° = 180°
z = 150
What value of b will make the expressions −12.8x+b and −3.2(4x−2.1)+2.4 equivalent?
Enter your answer in the box.
Step-by-step explanation:
-12.8x + b = -3.2(4x - 2.1) + 2.4 =
= -12.8x + 6.72 + 2.4
b = 6.72 + 2.4 = 9.12
what is 4m+m please
EXPLANATION
4m+m is equal to 5m
A survey asked high shcool students to pick their favorite subject. THe results are shown in the table
Answer:
Sorry there is no table or picture to show the subjects ;-;
Step-by-step explanation:
Answer:
Step-by-step explanation:
35
Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.45. If needed, round your answer to three decimal digits.
Find P(A | B)
Find P(B | A
Are A and B independent? Why or why not?
The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.
To find P(A | B), we use the formula:
P(A | B) = P(A ∩ B) / P(B)
In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.
Plugging these values into the formula, we get
P(A | B) = 0.45 / 0.60 = 0.750.
To find P(B | A), we use the formula:
P(B | A) = P(A ∩ B) / P(A)
Here, P(A ∩ B) = 0.45 and P(A) = 0.50.
Substituting the values, we find
P(B | A) = 0.45 / 0.50 = 0.900.
A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.
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write 45/14 as a decimal rounded to the nearest hundredth.
You're answer would be 3.21.
↓ Rounding to a decimal...
\(3.2142857142857\)
↓ Rounding to the nearest hundredth...
\(3.21\)
Thus, your answer is 3.21.
Consider the graphs of the following lines.
3x - 5y = 2
3x + 5y = -2
Find the slope m of each line.
3x - 5y = 2
m₁ =
3x + 5y = -2
m2 =
8.6A.
4
Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.
What is slope of the line?The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as
Line slope is a measure of the steepness or direction of a line in the coordinate plane.
m = Δy/Δx
where,m is the slope
Given,
equations of the line
3x - 5y = 2
Moving 3x to RHS
-5y = -3x + 2
y = (3/5)x - 2/5
comparing with slope intercept equation of the line y = mx + c
slope m₁ = 3/5
Now, equation
3x + 5y = -2
moving 3x to RHS
5y = -3x - 2
y = (-3/5)x - 2
comparing with slope intercept equation of the line y = mx + c
slope m₂ = -3/5
Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.
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The person who can come up with a good caption for either photo gets brainliest
Plz don't joke This is for school
Answer:
One hour’s sleep before midnight is worth three after.
Answer: You may laugh or whatever but for that london one
Step-by-step explanation:
A beautiful city of night.
how would you determine real gdp if you only knew the gdp
This can be done by finding the CPI or another price index for the same period. Once you have the GDP deflator, you can use the formula above to calculate the real GDP.
If you only know the nominal GDP, you cannot determine the real GDP. In order to determine the real GDP, you need to take into account inflation. This is done by adjusting the nominal GDP for inflation using a price index, such as the Consumer Price Index (CPI).The formula for calculating real GDP is:Real GDP = Nominal GDP / GDP DeflatorThe GDP deflator is a measure of inflation that takes into account changes in the prices of all goods and services produced in an economy. It is calculated by dividing nominal GDP by real GDP and multiplying by 100. This gives us a ratio of the current price level to the base year price level.
The base year price level is assigned a value of 100.Using this formula, we can see that if we know the nominal GDP and the GDP deflator, we can calculate the real GDP. For example, if the nominal GDP is $10 trillion and the GDP deflator is 120, the real GDP would be:Real GDP = $10 trillion / 1.2 = $8.33 trillionTherefore, in order to determine the real GDP if you only know the nominal GDP, you need to obtain the GDP deflator.
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True or False: To construct a confidence interval about the mean, the population from which the sample is drawn must be approximately normal.
The statement is True. To construct a confidence interval about the mean, the population from which the sample size is drawn must be approximately normal.
This assumption is necessary to ensure that the sampling distribution of the sample mean is also approximately normal, which is a key assumption underlying many statistical tests and confidence interval constructions.
However, suppose the sample size is large enough (usually at least 30). In that case, the central limit theorem may allow for constructing a confidence interval about the mean even if the population is not normal.
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Will make you brainlist!
Answer:
x = -2 , y = 2
Step-by-step explanation:
label your equations (1) and (2) the question mention to use elimination method and make x the same for both. To do that multiply equation (1) by 2. than label it (3)so 3x becomes 6x adding the equation (2)+(3) cancels out -6x and 6x so you can find value of yuse value of y to find xhope this helps :)
What is the distance between point B and point C?
A 2.1 units B 4.1 units
C 8.6 units
Answer:
Your answer is B
Step-by-step explanation:
Count down 4 points from B on the graph and count 1 over until you reach C which is down 4 over 1
A recipe calls for 6 cups of milk. If you have 4
pints of milk, how many cups will you have left
over?
The width of a plastic storage bin is 4ft longer than the height. The length is 6ft longer than the height. The volume is 96 cubic feet. Using the formula V=lwh, find the height of the bin.
Answer:
the length is 4 ft longer than the height
Step-by-step explanation:
Suku kedua belas dari barisan bilangan 8, 15, 24, 35, .... adalah ...
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height in meters of their rocket seconds after launch.
Answer:
30m
Step-by-step explanation:
Since we are not told what to look for, we can find the maximum height reached by the rocket
Given the rocket's flight approximately modeled by the equation
h(t) = - 12t ^ 2 + 36t + 3
At maximum height dh/dt = 0
dh/dt = --24t + 36
0 = -24t + 36
24t = 36
t= 36/24
t = 1.5s
Get the max height
h(1.5) = - 12 (1.5)^ 2 + 36(1.5) + 3
h(1.5) = - 12(2.25) + 54 + 3
h(1.5) = -27 + 57
h(1.5) = 30m
Hence the maximum height reached by the rocket is 30m
How much interest will Henry save if he finances the vehicle over 36 months instead?
Answer:
\({\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{gud \: morning \: \: \:❣:}}}}}}}}}}}}}}\)
❣️Marlon wants to save money over a long period of time. He does not need to have easy access to the money, and he is worried about losing his investment. He would like to know the interest rate up front. Which of the following options would best suit his needs?
Marlon wants to save money over a long period of time. He does not need to have easy access to the money, and he is worried about losing his investment. He would like to know the interest rate up front. Which of the following options would best suit his needs?Bonds