Answers
Solution :
2a + 2b = 7 ...1)
4a + 3b = 12 ...2)
In equation, 1)
a = (7 - 2b)/2 ...3)
Putting value of a in equation 2) we get :
4 × (7 - 2b)/2 + 3b = 12
2( 7 - 2b ) + 3b = 12
14 - 4b + 3b = 12
b = 2
Putting value of b in 3) we get :
a = ( 7 - 2×2)/2
a = 3/2 = 1.5
Now,
2x - 3y = 16 ...5)
x + 2y = -6 ...6)
x = -6 - 2y
Putting above value of x in eq 5) , we get :
2( -6 - 2y ) - 3y = 16
-12 - 4y - 3y = 16
7y = -28
y = -4
x = -6 - ( 2× -4 )
x = 2
Hence, this is the required solution.
Related Questions
Solve for x. Round to the nearest tenth, if necessary.
S
9
х
Q
75°
R
Answers
Sine 75 = x/ 9
x = 9 Sine 75
x = 8.7
At a factory, light bulbs are packed in boxes that are then placed in a shipping container.
• Each box is in the shape of a cube.
• Each box has an edge length of foot.
• A shipping container has dimensions of feet by 1 foot by 2 feet.
What is the total number of boxes of light bulbs that the shipping container can hold when completely full?
Answers
Answer: 144
Step-by-step explanation: You need to find the volume of the shipping container and divide it by the volume of a box.
2 2/3 x 1 x 2 = 16/3
1/3 x 1/3 x 1/3 = 1/27
16/3 divided by 1/27 is 144.
WILL GIVE BRAINLIEST
A number n, when divided by 4, gives –10. What is the value of n?
Answers
-40/4 = -10
Hope this helps!
An exercise scientist wanted to test the effectiveness of a new program designed to increase the flexibility of senior citizens. They recruited participants and rated their flexibility according to a standard scale before starting the program. The participants all went through the program and had their flexibility rated again after a month. The scientist wants to test if the flexibility ratings are significantly higher after a month of the program. Assume that these participants can be considered a representative sample and that all other necessary conditions for inference were met. Which of these is the most appropriate test and alternative hypothesis?
a) Paired t test with H : Mafter before > 0
b) Paired t test with H.: Hafier-before +0
c) Two-sample t test with H: Mbefore > Hafter
d) Two sample t test with H.: wore Manter
e) Two sample t test with H: Meedore Aladder
Answers
Answer:
a) Paired t test with H : Mafter before > 0
Step-by-step explanation:
As we do not know anything about variances we will perform a paired t test.
We want to check the effectiveness of the new program designed to increase the flexibility of senior citizens.
So we will perform a test where the mean after the program is greater than the mean before the program.
The best option is a.
Option a defines both objectives paired t test and difference of mean after and mean before is greater than zero.
Other options are not correct as they miss out one of the both objectives.
Graph the linear function.
g(x) = -1/2x +2
Answers
Answer:
UwU
Step-by-step explanation:
Hoped I helped
Tammy has seven pies Bryan and his friends a 2 10/12 of the pies Sharon a 1/3 of a pie how much does Tammy have left
Answers
Answer:
4 7/15
Step-by-step explanation:
7- 2 10/12- 1/3 = 4 7/15
PLEASE HELP AS SOON AS POSSIBLE
Answers
Answer:
FALSE
TRUE
TRUE
Step-by-step explanation:
For median,
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Source: https://www.verywellmind.com/how-to-identify-and-calculate-the-mean-median-or-mode-2795785
So for April median: 2.5, 3, 3.5, 3.5 (since we have 4 numbers we divide by 2 and we count by 2 places from left. Since we have even number data, we average 3 with the next higher position to get the median so (3+3.5)/2 = 3.25
For May apply same concept and you get median to be 2.25.
Median difference is 3.25-2.25 = 1
Therefore, statement 1 is false and statement 2 is true.
For average in May, add all numbers and divide by the number of data points so May= (2.5+3+3.5+3.5)/ 4 = 3.13
Apply same concept you for April and you get 2.38 as mean.
Mean difference is 3.13-2.38 = 0.75
Therefore, statement 3 is correct (true)
Construct the indicated confidence interval for the difference in proportions. Assume that the samples are independent and that they have been randomly selected.A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference in the proportions of New Yorkers and Californians who knew the product.
Answers
Answer:
CI 99% = ( - 0.0009 ; 0.0541 )
Step-by-step explanation:
Sample 1 New Yorkers
sample size n₁ = 558
x₁ = 193
p₁ = x₁/n₁ = 193/ 558 p₁ = 0.3458 q₁ = 1 - p₁ q₁ = 1 - 0.3458
q₁ = 0.6542
Sample 2 Californians
sample size n₂ = 614
x₂ = 196
p₂ = x₂/n₂ = 196 / 614 p₂ = 0.3192 q₂ = 1 - p₂ q₂ = 1 - 0.3192
q₂ = 0.6808
CI 99 % means significance level α = 1 αα% α = 0.01
α/2 = 0.005
In z-table we look for z score for 0.005 z (c) = 2.57
CI 99 % = [ ( p₁ - p₂ ) ± z(c) * √( p₁*q₁)/n₁ + ( p₂*q₂)/n₂
p₁ - p₂ = ( 0.3458 - 0.3192 ) = 0.0266
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ =√ 0.3458*0.6542)/558 + 0.3192*0.6808)/614
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ = √ 4.05*10⁻⁴ + 3.54 * 10⁻⁴
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ = 10⁻² * √7.59 = 10⁻² * 2.75
Then:
CI 99 % = 0.0266 ± 2.75 * 10⁻²
CI 99% = 0.0266 ± 0.0275
CI 99% = ( - 0.0009 ; 0.0541 )
The height of the average barn owl is 3 times the height of the average tree swallow. If x is the height of the tree swallow, which expression BEST represents the height of the average barn owl?
x+3
x−3
x×3
x÷3
Answers
Answer:
C; x*3
Step-by-step explanation:
Zoom
Solve for x: 5x = 25
20
25
( 5
0.30
Answers
Answer:
5x = 25|:5
x = 5
Help !!!!!!Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)
Answers
2.001 > 2, so it is wrong. And from that value and onwards, the values are all greater than 2 so the ones I listed above are the answers.
The required value that makes the inequality h ≤ 2 true are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Given that,
To Select the values that make the inequality h < 2 true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The values that are less than and equal to 2 are, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Thus, the required value that makes the inequality h ≤ 2 true are re, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
You are in an airplane 5.7 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round your answer to the nearest tenth. (Earth's radius is approximately 4000 miles.)
Answers
awnser
12
Step-by-step explanation:
Not hard. Just don't feel like doing it. Plus I wanna give some points out!
-Bᴇᴀʀ
Answers
Diego has 3 times as many, so you would multiply the amount Han had by 3.
Han has 6, so Diego has 6 x 3 = 18 comic books
A. 18 comic books.
To find the number Han has using what Diego has you would divide Diego’s number by 3:
27/3 = 9
Han has 9 comic books
B. 9 comic books
Mohammad is flying a kite with a 100 foot string. The kite string makes an
angle of 42° with the ground. Find the height of the kite. Round to the nearest
tenth.
Answers
Answer:
A?
Step-by-step explanation:
So sorry if im wrong
Answer:
66.9 ft from the ground
use this if you have a problem like this again
https://www.calculator.net/triangle-calculator.html
Help PLEASE!!! Math Final. ASAP!!!!!!!!!!!!
Answers
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (Assume the data set has a bell-shaped distribution.)
Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.
Answers
Answer:
68%
Step-by-step explanation:
We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.
Help please need answer now
Answers
Answer:
I'm getting the answer false
Step-by-step explanation:
See the steps below:)
-1+3cotx
How do I graph this?
Answers
Answer:
Step-by-step explanation:
define gender based violence
Answers
Answer:
Step-by-step explanation:
Elder abuse is any action that causes harm or distress to an older person. ...
Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...
Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.
girlcome 5324611502
p:1234
Answers
Answer:
Hi there! Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!
Step-by-step explanation:
cats behave in an uncanny manner that often puzzles and disturb humans.
what does uncanny mean?
1. industrious
2. delightful
3. humorous
4. mysterious
Answers
Answer:
mysterious
Step-by-step explanation:
None of the other words fit...plus you can use context clues. It states in the sentence that cat behavior often disturbs and puzzles humans. If something puzzles humans...then they likely don't understand it. Mysterious would be the best choice.
please help! can you explain it to me?
Answers
Answer:
It is increasing before x = -2 and from x = 0 to x = 2
Step-by-step explanation:
Option 1 - you can see the line going down starting at -2 and that means the line is decreasing but the choice says "It is increasing before x = 0". This contradicts the actual graph.
Option 2 - The line isn't increasing before x= -1, it's actually decreasing as seen in the graph.
Option 3 - The line doesn't even touch the point before x = -3 so this choice makes no sense.
Option 4 - Since all the other choices were eliminated this is the only choice standing. Looking at the line it is increasing before x = -2.
HELP ASAP Write an equation of a line that passes through the point (2,1) and is perpendicular to the line y=1/3x+2
Answers
Answer:
y = -3x + 7
Step-by-step explanation:
a line perpendicular to y=1/3x + 2 must have a slope of -3 (the opposite reciprocal)
we can use slope (m) of -3 and the point (2,1) to write the equation:
y = mx + b
1 = (-3)(2) + b
1 = -6 + b
b = 7
Putting it all together you get:
y = -3x + 7
What are the angles of x and y?
Answers
Answer:
x = 55
y = 70
Step-by-step explanation:
x = 180-125
= 55
y = 180-(55x2)
= 180-110
= 70
Feel free to mark it as branliest :D
Find the sum of -3x2 -4x+3 and 2x2-x+3
Answers
Answer:
Assuming the 2 at the ends are the exponents,
the answer is -x^2-5x+6 (x^2+5x-6)
from here, it cannot be simplified more
Explanation --
Just add everything by putting the terms in parentheses and adding them.
Keep simplifying by putting the like terms together and adding/subtracting them.
At the end, you come up with -x^2-5x+6, so multiply -1 on the whole thing (by putting parentheses on its sides. This makes x positive. But they are the same thing, but this step is just for simplifying the end product a little more.
Hope this helps!! Have a nice day!
pls pls i need the answer and A REALLY GOOD EXPLANATION pls pls
Answers
Answer:
15/50 will be your answer 30%
Step-by-step explanation:
First add them all up.
Then you want to make a simple equation
15/50
Answer:
30%
Step-by-step explanation:
15+10+2+20+3 = 50
therefore 15 is 30% of 50
Huilan is 13 years younger than Thomas. The sum of their ages is 33. What is Thomas's age?
Answers
Answer:
Thomas is 20 years old
Step-by-step explanation:
33 - 13 = 20
Explain how to solve the following equation in your own words:
9x-13=23
Answers
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
[tex]9x-13=23[/tex]
[tex]9x=23+13[/tex]
[tex]9x = 36[/tex]
[tex]x = \frac{36}{9} [/tex]
[tex]x = 4[/tex]
Hope it is helpful....Answer:
X=4
Step-by-step explanation:
9x-13=23
9x=23+13
x=(23+13)/9
x=4
Evaluate.
5^2+7·3+4
A. 40
B. 50
C. 55
D. 224
If someone could help me that would be great!
Answers
Answer:
B. 50
Step-by-step explanation:
5^2 +7*3 +4 = 25+21+4
= 25+25
= 50
[tex]5²+7·3+4[/tex]
[tex] {5}^{2} + 21 + 4[/tex]
[tex]25 + 25 = 50[/tex]
pls help alot of points
Answers
Answer:
the perimeter is given in__in__, the height in_in___, and area of the base in_in²__.
so
none of the above.
Answer:
d
Step-by-step explanation:
none of the above