Hello, please consider the following.
[tex]3a+5b + 5a + 3b = 8(a+b)=10+30=40\\\\a+b=\dfrac{40}{8}=5[/tex]
And the average is
[tex]\dfrac{a+b}{2}\boxed{=\dfrac{5}{2}}[/tex]
Thank you.
Expand and simplify the expression 6x-7(4 - 5) algabra btw
Answer:
[tex] \boxed{ \bold{ \red{6x + 7}}}[/tex]Step-by-step explanation:
[tex] \sf{6x - 7(4 - 5)}[/tex]
Distribute 7 through the parentheses
[tex] \sf{6x - 28 + 35}[/tex]
Calculate
[tex] \sf{6x + 7}[/tex]
Hope I helped!
Best regards!!
7x - 3y = 4
2x - 4y = 1
The solution to the system of equations is _____.
A:(13/34, -15/34)
B:(3/22, -7/22)
C:(13/22, 1/22)
Answer:
My answer is option C.
Step-by-step explanation:
Since you cannot eliminate it immediately then you will need to multiply it by each of the number to make them equal that means you will multiply the first equation by any number in the second equation that is you can use maybe -4 or 2 or 1. and then do the same to the other equation to make them equal...if you use 2 in the second equation for the first equation and you use 7 in the first equation for the second equation the you will make them equal which makes them easier to eliminate and then when you find y which is y=1/22 then you can substitute it into any of the equation and find your x which is x=13/11.
Answer: option c
Step-by-step explanation:
show that Lim lx-2l/x-2 does not exist
Answer:
Actually It Does Lx-21/x-2 you have to find out what the Letter x stands for and what the letter L stands For for you to be able to find the answer
Step-by-step explanation:
Write this number using words. 703,010,006
Answer:
Seven and three million ten thousand and six.
Step-by-step explanation:
703 is in the millions place.
010 is in the thousands place.
and 006 is in the hundredths place.
hope this helps you!
How many points need to be removed from this graph
so that it will be a function?
O 1 point
O 2 points
O 3 points
O 4 points
Answer:
3 points
Step-by-step explanation:
If you do the vertical line test, there are 3 points that need to be removed, as there can only be 1 x value for every y value in order for it to be a function.
Answer:
3 points
Step-by-step explanation:
if you do the vertical line check you can see that there are 3 lines with 2 points on one line vertically. for it to be a function it would need to only have one so you would need to remove one from each line.
what do you do when you simplify like variables with different exponents for example: I have 3x^(5)y^(8) + 2x^(5)y^(7) when I simplify 3x and 2x give me 5x^(5) but I don't know what to do with the different exponents in the y variables do I separate the variables and end with 5x^(5)y^(8)y^(7)?
Because both the x and y variables are associate with a value, you don’t just add 3x and 2x.
You have:
3x^5y^8 + 2x^5y^7
Apply the exponent rule a^b+c = a^ba^c
This means x^5y^8 = x^5y^7y
Now you have:
3x^5y^7y + 2x^5y^7
Since they both now have an x^5y^7 in them factor the out of both:
When you take that out it’d both numbers you are left with 3y + 2
The final answer is: X^5y^7(3y +2)
Solve for z.
5
y = ZW - ZC
Step-by-step explanation:
5y = ZW - ZC
5y = Z(W - C)
5y / W- C = Z(W -C) / W - C
Z = 5y / W - C
When John mom went grocery shopping she bought 5 cans of corn for $1.00 each she bought 4 cases of water for $4.00 she also bought 4 pounds of meat for $2.00 per pound she paid with$30.00 how much change did she have?
Answer:
$1
Step-by-step explanation:
5 cans of corn -- 5 * $1 = $5
4 cases of water -- 4 * $4 = $16
4 pounds of meat -- 4 * $2 = $8
Paid with -- $30
Change required -- 30 - 8 - 16 - 5 = $1
John's mom will get $13 change back from the grocery shopkeeper.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
5 cans of corn ⇒ $1.00/can
So cost 5 × 1 = $5
4 cases of water ⇒ $4.00 (remember not given "each")
So cost ⇒ $4
4 pounds of meat ⇒ $2.00 per pound
So cost 4 × 2 = $8
Now,
Total cost = 5 + 4 + 8 = $17
So,
Change = 30 - 17 = $13
Hence "John's mom will get $13 change back from the grocery shopkeeper".
To learn more about the arithmetic operators,
brainly.com/question/25834626
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simplify the expression i^37
im pretty sure that it is
i
Answer:
i
Step-by-step explanation:
[tex] \huge {i}^{37} \\ \huge= {i}^{36} \times i \\ \huge = ( {i}^{2})^{18} \times i \\\huge = ( - 1) ^{18} \times i \\ \huge = 1 \times i \\ \huge = i \\ \\\huge \therefore {i}^{37} = i[/tex]
Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.
Answer:
z= 3.63
z for significance level = 0.05 is ± 1.645
Step-by-step explanation:
Here p = 42% = 0.42
n= 500
We formulate our null and alternative hypotheses as
H0: p= 0.42 against Ha : p> 0.42 One tailed test
From this we can find q which is equal to 1-p= 1-0.42 = 0.58
Taking p`= 0.5
Now using the z test
z= p`- p/ √p(1-p)/n
Putting the values
z= 0.5- 0.42/ √0.42*0.58/500
z= 0.5- 0.42/ 0.0220
z= 3.63
For one tailed test the value of z for significance level = 0.05 is ± 1.645
Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.
Pleaasee answer!!!!!!!!!!!!!!!!!!!!
Answer:
C Mark me as brainliest!!!
Step-by-step explanation:
(5 points) The probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%. What is the probability that a randomly selected day in April will be rainy or windy?
Answer:
0.62
Step-by-step explanation:
Probability of rain = 34% = 0.34
Probability of wind = 38% = 0.38
Probability of wind and rain = 10% = 0.1
P(wind U rain) = p(wind) + p(rain) - p(both)
= 0.34 + 0.38 -1
= 0.62
The probability that it would be rainy or sunny in any given day in April is 62%
Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed 3 times as many lawns as Kevin mowed. In which equation does the box represent the number of lawns Kevin mowed?
Answer:
Kevin mowed 4 lawns.
Step-by-step explanation:
If you take 12, and divide it by 3, you get 4. Which is how many lawns Kevin mowed.
(I'm not sure about the boxes because there wasnt a picture, but good luck!)
A fish bowl contains blue, green and red plastic fish.
Answer:
Please comment on this answer what the real question is.
Step-by-step explanation:
Given: if A and B, then C. Given: the if-then statement reverse is also correct. Given A is false, B is false, what is c?
Conditional statements are statements that are either true or false, based on certain conditions.
The value of c is true
The condition is given as:
If A and B, then C
Where:
[tex]\mathbf{A = false}[/tex]
[tex]\mathbf{B = false}[/tex]
The reverse means that:
If not A and not B, then C
This means that:
[tex]\mathbf{not\ A = not\ false}[/tex]
[tex]\mathbf{not\ B = not\ false}[/tex]
So, we have:
[tex]\mathbf{not\ A = true}[/tex]
[tex]\mathbf{not\ B = true}[/tex]
For an and condition to be true, both values must be true.
So, we have:
If not A and not B, then C
Substitute known values
If true and true, then C
Because both values are true, then the value of C will also be true
Read more about conditional statements at:
https://brainly.com/question/10714086
Davon marks a 4-inch paper strip into equal parts as shown below. Label the whole and quarter inches on the paper strip.
Answer:
Step-by-step explanation:
Divide the length of the paper strip into four equal sections of 1 inch each.
Mark the left end of the strip '0' and the right end '4.' Label the '1,' '2,' '3' points.
Between these marks, label the strip as follows:
'1/4,' '1/2,' '3/4,' 1 (already marked), '1 1/4,' '1 1/2,' and so on.
Next time, please be sure to share ALL parts of the question with which you want help. Thank you.
A train is traveling at a constant speed of 90 miles per hour. How many feet does it travel in 10 seconds? Remember that 1 mile is 5280 feet.
Hi
1 mile = 5280 feet
at 90 mile per hour, you have 5280 *90 = 475 200 feets
an hour is 60*60 = 3600 second
so in 1 second the train travel : 475 200 /3600 = 4752 /36 = 132 feets
so in 10 seconds : 132*10 = 1320 feets.
The feet train travel in 10 seconds is 1,320 feet .
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
Train traveling at a constant speed = 90 miles per hour
1 mile = 5280 feet
By using unitary method:
feet does it travel in 1 seconds = [tex]\frac{90*5280}{60*60}[/tex]
feet does it travel in 10 seconds = [tex]\frac{90*5280}{60*60} * 10[/tex]
= 1,320 feet
Hence, the feet train travel in 10 seconds is 1,320 feet .
To know more about unitary method here:
https://brainly.com/question/22056199
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can someone plz help me!
Answer:
Step-by-step explanation:
from focus
[tex]\sqrt{(x+3)^2+(y-2)^2}[/tex]
from directrix
|y-4|
Which rational number could be graphed between -3 and -4
Answer:
-3.5
Step-by-step explanation:
An example is -3.5.
The sum of three numbers is 125. The first number is 7 more than the first. The third number is 4 times the second.What are the numbers
Answer:
15, 22, 88
Step-by-step explanation:
I assume you mean the second number is 7 more than the first. Write the system of equations:
x + y + z = 125
y = x + 7
z = 4y
Substitute the third equation into the first.
x + y + 4y = 125
x + 5y = 125
Substitute the second equation.
x + 5(x + 7) = 125
6x + 35 = 125
6x = 90
x = 15
Solve for the other variables.
y = 22
z = 88
-3x + 2y = 8 Which of the following graphs represents the equation above?
Answer:
-3x + 2y = 8
Simplifying
-3x + 2y = 8
Solving
-3x + 2y = 8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 8 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 8 + -2y
-3x = 8 + -2y
Divide each side by '-3'.
x = -2.666666667 + 0.6666666667y
Simplifying
x = -2.666666667 + 0.6666666667y
Step-by-step explanation:
Answer:
All i know is that it's not X
Step-by-step explanation:
I got it wrong on edmentum :/
cost of fuel is 1.45/L how much would 60L cost
Answer:
multiply the cost by the total number of liters needed: $1.45/L *60L = $87
The ratio of people who walk to school to people ride the bus to school is 1:7. If there are 13 walkers, how many students ride the bus?
Answer: 91 students ride the bus
For this problem, you can set up a proportion where:
w = those who walk to school
r = those who ride the bus to school
[tex] \frac{w}{r} = \frac{w}{r} [/tex]
Then include the ratio (1:7) as a fraction (1/7) and the value that is known (13).
[tex] \frac{1}{7} = \frac{13}{x} [/tex]
Cross multiply (create an "x").
[tex]1 \times x = 7 \times 13[/tex]
[tex]x = 91[/tex]
If AY parallel to CX, then find ∠ABC
please help!!!!!!!!!!!!!!!!!!!
Answer:
60°
Step-by-step explanation:
Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.
Therefore,
m∠FBC + m∠XCB = 180°..(By interior angle property)
m∠FBC + 130° = 180°
m∠FBC = 180° - 130°
m∠FBC = 50°....(1)
Next,
m∠ABF = m∠BAY... (Alternate angles)
m∠ABC + m∠FBC = 110°
(since, m∠ABF = m∠ABC + m∠FBC)
m∠ABC + 50° = 110° (From equation 1)
m∠ABC = 110° - 50°
[tex] \huge \purple {\boxed {m\angle ABC = 60\degree}} [/tex]
The area of floor and four walls of a room is 15m^2 and 32m^2 respectively. find the total surface area of the room
Surface area of the room:
area of ceiling + floor + the four walls
ceiling area = floor area
Total surface = 15 + 15 +32 = 62 m²
A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over). How many degrees of freedom are there?
Answer: 3
Step-by-step explanation:
Given: A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over).
Here,
Total classes as per gender: k = 2 (male female)
Total classes as per age : m = 4 (under 20, 20−29, 30−39, and 40 or over)
Now , the degree of freedom = (k-1) ( m-1)
= (2-1) (4-1)
= (1)(3)
= 3
Hence, there are 3 degree of freedom.
doctor better than teacher debate
Answer:
Teachers are the one that teach the doctors how to do their profession. They are both critical parts of society and should both be respected. Though doctors work with patients and determine what problems they have and how to help solve them. They work on treatments and can reassure patients in tough situations. They only goal is to help others and keep everyone has happy and healthy as possible.
Use the number line below, where RS=7y+2, ST=5y+7, and RT=14y−3. a. What is the value of y? b. Find RS, ST, and RT.
Answer:
a. y = 6
b. RS = 44
ST = 37
RT = 81
Step-by-step explanation:
RS = 7y + 2
ST = 5y + 7
RT = 14y - 3
find:
a. y
b. RS, ST, RT
RS + ST = RT
7y + 2 + 5y + 7 = 14y - 3
group like terms
7y + 5y + 2 + 7 = 14y - 3
12y + 9 = 14y - 3
9 + 3 = 14y - 12y
12 = 2y
y = 12/2
y = 6
-----------------------------------
b.
RS = 7(6) + 2
RS = 44
ST = 5(6) + 7
ST = 37
RT = 14(6) - 3
RT = 81
Answer:
a. y = 6
b. RS = 44; ST = 37; RT = 81
Step-by-step explanation:
RS + ST = RT
7y + 2 + 5y + 7 = 14y - 3
group like terms
7y + 5y + 2 + 7 = 14y - 3
9 + 3 = 14y - 12y
12 = 2y
y = 12/2
y = 6
plug in values to solve RS, ST, RT
RS = 7(6) + 2 = 44
ST = 5(6) + 7 = 37
RT = 14(6) - 3 = 81
5^3 x 2^5 x 10^2 as a product of prime
Answer:
400000
Step-by-step explanation:
You want to buy a special handcrafted square box. Since each box is uniquely handcrafted and you did not bring you ruler, you are not sure of the exact dimensions. Let X be the length of one of the sides, and assume that X is uniformly distributed between 15 and 18 inches. a) What is the expected volume of the box that you buy
Answer:
[tex]Volume = 4492.125\ unit^3[/tex]
Step-by-step explanation:
Given
Uniform Distribution X
X: 15 to 18
Required
Determine the expected volume
Since, X is uniformly distributed; We have to first determine the expected value of X as follows;
[tex]Mean(X) = \frac{b + a}{2}[/tex]
Where b = 18 and a = 15
[tex]Mean(X) = \frac{18 + 15}{2}[/tex]
[tex]Mean(X) = \frac{33}{2}[/tex]
[tex]Mean(X) = 16.5[/tex]
Since the box is a square box, the volume is as follows;
[tex]Volume = 16.5 * 16.5 * 16.5[/tex]
[tex]Volume = 4492.125\ unit^3[/tex]
Hence, the expected volume is 4492.125 unit³