What is the sum of the solutions of the 2 equations
below?
8x = 12
2y + 10 = 22
A. 23
B. 71
7 1
C.
9
D. 10
E. 17.
Answers
8x = 12
Divide both sides by 8
x = 12/8 = 3/2
2y + 10 = 22
Subtract 10 from both sides.
2y = 12
Divide both sides by 2
y = 6
6 + 3/2 = 7 1/2
Answer:
7.5 or 7½
Step-by-step explanation:
8x÷4 = 12÷4
2x = 3
x = 3/2 = 1.5
2y + 10 = 22
2y = 12
y = 6
1.5 + 6 = 7.5 = 7½
Related Questions
Suppose X has a continuous uniform distribution over the interval [−2,2]
a) Determine the mean, variance, and standard deviation of X
b) Determine the value of a such that P(−a
Answers
Answer:
Mean = 0
Variance = 4/3
Standard Deviation √4/3
a= 0.9
Step-by-step explanation:
If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12
Here a= -2 and b= 2
Now finding the mean = a+b/2=-2+2/2= 0
Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3
Standard Deviation = √Variance= √4/3
b) [tex]\int\limits^a_b f({x}) \, dx[/tex]= \int\limits^a_a {\frac{1}{a- (-a)} } \, dx
=1/2a[x]^a_-a= 2a/2a= 1 (applying the limits to the function)
P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a (applying the limits to the function)
P(−a<X<a)= 0.9
a= 0.9
In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.
Using the uniform distribution, we have that:
The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.An uniform distribution has two bounds, a and b.
In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].
The mean is:
[tex]E(X) = \frac{a + b}{2}[/tex]
Hence:
[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]
The variance is:
[tex]V(X) = \frac{(b - a)^2}{12}[/tex]
Hence
[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]
The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]
A similar problem is given at https://brainly.com/question/14767944
Subtract. (4z+9)–(2z+2)
Answers
Answer:
(2z+7)
Step-by-step explanation:
Distribute -1 to (2z + 2)
4z + 9 -2z -2
Combine like terms:
2z + 7
You are shopping for dinner for your family in a fast-food restaurant, but you are concerned about fat. An informative menu gives you the following information. Item Hamburger Chicken sandwich Fries Onion rings Grams of fat 24 13 30 25 How much total fat is in an order of hamburgers, chicken sandwich, orders of fries, and orders of onion rings
Answers
Answer:
Total amount of fat = 92 grams
Step-by-step explanation:
Given:
Item Amount of fat (in gram)
Hamburger 24
Chicken sandwich 13
Fries 30
Onion rings 25
Find:
Total amount of fat
Computation:
Total amount of fat = [Hamburger + Chicken sandwich + Fries + Onion rings]
Total amount of fat = [24 + 13 + 30 + 25] grams
Total amount of fat = 92 grams
Which number is a counterexample to the following statement? All numbers that are divisible by 2 are divisible by 4.
A. 0
B. 12
C. 28
D. 42
Answers
Using divisibility concepts, a counterexample to the statement is given by option the number 42, option D.
-------------
If the remainder of the division of A by B is 0, it is said that A is divisible by B.-------------
In option A, 0 is divisible by both 2(0/2 = 0) and 4(0/4 = 0), so it is not a counterexample.In option B, 12 is divisible by both 2(12/2 = 6) and 4(12/4 = 3), so it is not a counterexample.In option C, 28 is divisible both by 2(28/2 = 14) and 4(14/2 = 7), so it is not a counterexample.In option D, 42 divided by 4 is 10 with a remainder of 2, thus 42 is not divisible by 4, being a counterexample to the statement.A similar problem is given at https://brainly.com/question/24354438
What is the best estimate of 18x709?
Answers
Answer:
12762
Step-by-step explanation:
Use google
Answer:
12672
Step-by-step explanation:
Can someone please help ty!!
Answers
Answer:
Try the light blue one, I really just guessing but good luck!!
what is the square route of 36+2
Answers
square root 38
Step-by-step explanation:
imput square root 36 plus 2
what is the domain?
what is the range?
what is g(0)?
what is g(x)3?
what is the max value?
is g(x) continuos or discrete?
what is the y intercept?
how many x intercept does g(x) have?
Answers
How do you do this question?
Answers
Step-by-step explanation:
The marginal totals are the sum of each row and column.
For example, the total number of sophomores is 120 + 302 = 422.
See picture of table with marginal totals filled in.
1
2
Read the sentence
Dancing is becoming a popular hobby.
Which statement correctly describes the verb function
in this sentence?
The word 'dancing' is a verb that functions as a
noun
The word "dancing" is a verb that functions as an
adjective
The word "becoming" is a verb that functions as a
noun
The word "becoming' is a verb that functions as an
adjective
Mark this and retum
Save and Exit
Next
Submit
Answers
Answer:
A
Step-by-step explanation:
edge
Mr.Salazar assigns the same Number of homework Question each
Answers
Answer:
ur question isnt complete... ?
Step-by-step explanation:
( 32.45 - 4.8) - 2.06
Answers
Answer:
25.59
Step-by-step explanation:
The first thing that you will do is solve parenthesis (remember PEMDAS).
(32.45-4.8) - 2.06
(27.65) - 2.06
Then do the subtraction.
(27.65) - 2.06=
25.59
Hope this helps!
Find the daily rate if the annual interest rate is 12%.
.
a. 0.0003287671
• b. 0.03287671
.
C. 0.23076923
.
d. 0.00230769
Answers
Answer:
B.) 0.03288%
Step-by-step explanation:
I hope this helps you :)
Answer:
Periodic Interest Rate (P)
(rate per compounding period)
0.03288%
Answer is B
Step-by-step explanation:
what is the largest number that rounds to 260 when rounding to the nearest ten?
Answers
Answer:
260 im pretty sure
..........
if there is 5 or higher in the ones place you round up, if there's a 4 or lower you round down. Since there is a 0 in 260 it stays the same so the answer is 260
sorry if im wrong
is this a function yes or no??
Answers
Answer:
Yes, it is a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Step-by-step explanation:
Answer:
Yes, it is a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Is the square root of 3,600 rational or irrational? Explain.
Answers
Answer:
Rational. the square root of 3600 is a real, rational number, 60.
Step-by-step explanation:
Answer: Rational
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is an integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
----------------------------------------------------------
Square root of 3600=60
60
It is an integer, which fits the first point
So, it is rationalHope this helps!! :)
Which set of ordered pairs represents a function?
O {(2,-2), (1,5), (-2, 2), (1, -3), (8, -1)}
O {(3,-1), (7, 1), (-6, -1), (9, 1), (2, -1)}
O {(6, 8), (5, 2), (-2,-5), (1, -3), (-2, 9)}
O {(-3, 1), (6, 3), (-3, 2), (-3,-3), (1, -1)}
pls I need help
Answers
4a²-4ab + b2, when a = 2 and b = 5
Answers
Answer: -14
Step-by-step explanation:
literally just plug the numbers in the equation:
a= 2 b=5
4(2)^2-4(2)(5)+(5)2
4(4) -4(10) +10
16 - 40 + 10
-14
Hope this helps
The value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The expression:
= 4a² - 4ab + b²
Plug a = 2
b = 5
In the above expression:
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Applying arithmetic operation:
= 4(2)² - 4(2)(5) + (5)²
= 4x4 - 40 + 25
= 16 - 40 + 25
= 1
Thus, the value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Randell's favorite brand of cookies is on sale at a price of $1.79 for a 12 ounces package. what is the cost per ounce (unit rate) for these cookies?
Answers
Answer:
$0.1492
Step-by-step explanation:
Factor the Expression x^2+x+7
Answers
The Answer Is x^2+×+7
Hope This Help's
Between 2000 and 2015 , the number of twin births in a certain country increased by 11%, to approximately128,760 . About how many twin births were there in 2000?
Answers
Answer:
116000
Step-by-step explanation:
The number of twins in 2000 is x
the number increases by 11% to year 2015
x(1+11/100 )=128760
x+0.11x=128760
1.11x=128760
x=128760/1.11
x=116000
What is the solution to the equation 4x = 52?
Answers
Answer:
x = 13
Step-by-step explanation:
4x = 52
x = 52/4
x = 13
Hope this helps!
If point p partitions line BA,what would be the part to whole ratio
Answers
Answer:
4 / 5
Step-by-step explanation:
From the image attached, Line BA is divided into a total of 5 equal proportions (or intervals). Point P is placed at the 4th proportion of the divided line, also the distance between point P and point A is 1 propotion. The ratio in which point P divides the line BA is given as:
Ratio = BP : PA = 4 : 1
Ratio = 4 : 1
The part to whole ratio If point p partitions line BA = BP / BA = 4 / 5
Part to whole ratio = 4/5
Pls help!!!
Find the solution set of the inequality with the given replacement set:
20x - 4 > 24, x = {0, 1, 2, 3}
Answers
Answer:
{2,3}
Step-by-step explanation:
as when we solve we will get 7/5
that is 1.5
and x > 1.5
so answer is 2 and 3
plz mark as brainliest if it helps
Determine whether the given value is a statistic or a parameter.
A survey found that 75% of all respondents were optimistic.
Choose the correct answer below.
A. The value is a parameter because it is a numerical measurement describing some characteristic of a sample.
B. The value is a parameter because it is a numerical measurement describing some characteristic of a population. C. The value is a statistic because it is a numerical measurement describing some characteristic of a population.
D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.
Answers
Answer:
D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.
Step-by-step explanation:
A survey found that 75% of all respondents were optimistic. We consider 75% of all respondents is a sample from over all population, so it's a statistic. Value of statistics are e.g sample mean, sample proportion etc .
It is important to understand that the numerical measurement describing some characteristic of a population is called as parameter. e.g. population mean , population proportion etc. Hence, it is not correct.
April has $3.65 in quarters and nickels in her car. The number of nickels is thirteen more than the numbers of quarters. How many of each type of coins does she have?
Answers
Answer:
hi
Step-by-step explanation:
Answer:
you multiple what April has
When x is decreased by 2 and then that number is divided by 2, the result is 2. What is the value of x?
Answers
Answer:
x=6
Step-by-step explanation:
6 minus 2 is 4 and 4 divided by two is 2
Is 5 a solution to 2x + 5 = 15? Yes or No
How do you know?
Answers
Answer:
Yes
Step-by-step explanation:
yes because when you place 5 in the x spot you arrive a final answer of 15=15
Will give brainliest answer
Answers
Answer:
4 and 2 are the correct answers in that order
Marcus collected 5 fewer rocks than Esha
Part A
How many rocks did Marcus collect if Esha collected 22 rocks?
Answers
Answer:
Marcus has 17 rocks.
Step-by-step explanation: