Evaluate -2x + 8y when x=1/3
and y = 1/6.Write your answer as a fraction in simplest form.
Answers
Answer:
2/3 or 0.6
Step-by-step explanation:
Related Questions
A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.
Answers
Answer:
y = 6 + x
Step-by-step explanation:
Membership fee = $6
Fee per visit = $1
Let
x = number of visits
y = Total cost
Total cost = fixed cost + variable cost
Fixed cost = Membership fee = $6
Variable cost = Fee per visit × number of visits
= $1 * x
= $x
Total cost = fixed cost + variable cost
y = $6 + $x
y = 6 + x
Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order.
Answers
Answer:
Step-by-step explanation:
Using the formula for calculating confidence interval
CI = xbar±z×S/√n
xbar is the mean of the sample
z is the z score at 90% = 1.645
S is the standard deviation of the score
n is the sample size = 26
Since we are not given the scores, we can assume the values of our mean and standard Deviation
Let xbar = 38
S = 3.0
Substitute the given values into the formula
CI = 38±(1.645×3.0/√26)
CI = 38±(1.645×3.0/5.099)
CI = 38±(1.645×0.5884)
CI = 38±0.9678
CI = (38-0.9678, 38+0.9678)
CI = (38.0322, 38.9678)
CI = (38.0, 38.9)
Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9
Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?
Answers
The dollar amount of shoes she sold is $1800
Let the amount of the shoe sold e xWhat is commission?It is the amount earned on a product bought or sold.
If she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:
11.5% of x = 207
0.115x = 207
Divide both sides by 0.115
x = 207/0.115
x = $1800
Hence the dollar amount of shoes she sold is $1800
Learn more on discount here: https://brainly.com/question/24304697
There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?
Answers
Answer: proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
Step-by-step explanation:
When y is directly proportional to y , then the equation for this relationship is given by :-
[tex]y=mx[/tex], (i)
where m is the proportionality constant.
here, it is given that number of months a person has had a streaming movie subscription is proportional to the total amount of money they have paid for the subscription.
If cost for 6 months is $47.94.
Put x= 6 and y= 47.94 in (i), we get
47.94 =6m
Divide both sides by 6 , we get
7.99 =m
So proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.
Recall:
A proportional relationship is modelled with the equation, y = kx.
k is the constant of proportionality between y and x.
k = y/x
Given:
x = number of months (6)
y = total amount paid for subscription (47.94)
If 6 months subscription costs $47.94, therefore,
k = 47.94/6
k = 7.99
Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.
Learn more here:
https://brainly.com/question/11703625
Find the value of x.
Answers
Answer:
sdf
Step-by-step explanation:
sdff
For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:
132 + 4 + x = 180
Add 132 and 4.
136 + x = 180
Subtract 136.
x = 44
You are right!
For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:
68 + x + 9 = 90
Combine 68 and 9.
77 + x = 90
Subtract 77.
x = 13
Hope this helps
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answers
Answer: Reflect across the Y and and move it 7 down
Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.
Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =
Answers
Answer:
25
Step-by-step explanation:
Answer:
it is 25 :)
Step-by-step explanation:
what does -11/2 - 7/3 equal
Answers
Answer: - 47/6 or in mixed number form - 7 5/6
Step-by-step explanation:
You can ignore a and b but can someone help me with c and d plz :)
Answers
Answer:
(below)
Step-by-step explanation:
c) the angles are in the interior on the same side of the transversal, making them supplementary
equation: 2x + 20 + 120=180 and then when solved you would get x =20
d) the angles are corresponding, which makes them congruent
equation: 3x + 10 = 100 and then when solved you would get x = 30
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!
2+2
Answers
Answer:
2+2=4
Step-by-step explanation:
You've got this man.
Answer:
4
Step-by-step explanation:
18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product?
Answers
Answer:
48
Step-by-step explanation:
8
i need help with this
Answers
Use the diagram below to find the measure of each angle. If you cannot see the
diagram below, it is also in your book on page 59. As you write your answer,
write the number and type the word degrees after.
A
E
B
С
50°
D
m
m
m
Answers
Help please it's a simple question I think but answer it please
Answers
Answer:
D. 36
Step-by-step explanation:
because to find volume we should multiply all the side
Answer:
d.36in
Step-by-step explanation:
Express the following number as a decimal:
2 x 10^-6
Answers
Answer:
0.000002
Step-by-step explanation:
2* 10^-6
is the same as
2 * 0.000001
which is
0.000002
Answer:
The answer is: 0.000002
Step-by-step explanation:
Have a great day!
if 12x+8 is less than 6,what is the value of 8x
Answers
Solve for x and y, please help!
Answers
Answer:
x = 37, y = 9
Step-by-step explanation:
3x + 11 and x + 21 are same- side interior angles and are supplementary, thus
3x + 11 + x + 21 = 189 , that is
4x + 32 = 180 ( subtract 32 from both sides )
4x = 148 ( divide both sides by 4 )
x = 37
--------------------------------
3x + 11 = 3(37) + 11 = 111 + 11 = 122
14y - 4 and 3x + 11 are vertical angles and congruent, thus
14y - 4 = 122 ( add 4 to both sides )
14y = 126 ( divide both sides by 14 )
y = 9
Let p=2n+1 for n=10, 20, 30, or 40. For which value of n does p2−1 have the most factors?
Answers
Answer:
For n= 40 p has 7 factors
For n= 20 p has 7 factors
For n= 10 p has 6 factors
For n= 30 p has 6 factors
Step-by-step explanation:
p = 2n + 1
Putting the value of n= 10
p1= 20+1= 21
Putting the value of n= 20
p2= 40+1= 41
Putting the value of n= 30
p3= 60+1= 61
Putting the value of n= 40
p4= 80+1= 81
p2- 1= (p+1)(p-1)
= (81+1)(81-1)
=( 82)(80)
= 6560
= (1312)5
= 328)4)5
= 41 (2)(2)(2)(2)(2)(5)
p2- 1= (p+1)(p-1)
= (61+1)(61-1)
=( 62)(60)
=3720
= (465)(8)
= (93)(5)(8)
= (31)(3)(5)(2)(2)(2)
p2- 1= (p+1)(p-1)
= (41+1)(41-1)
=( 42)(40)
= 1680
= (7)(3)(5*2)(2*2*2)
p2- 1= (p+1)(p-1)
= (21+1)(21-1)
=( 22)(20)
= 440
= (11)(2)(5)(2)(2)
the ratio of milk and water in a tank quantity 3:2 if molk is 600 gm the find tje quantity of water
Answers
Answer:
220 should be the answer.
Step-by-step explanation:
The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m dollars. Express the finance charge algebraically.
Answers
Answer:
0.2
Step-by-step explanation:
what is the slope of this line?
Answers
Answer:
slope is 1/4
Step-by-step explanation:
Use rise over run
The slope of the line will be equal to 1/4.
What is a slope?
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run of the line.
The formula to calculate the slope of the line is given as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line is passing through points ( 0,6) and (8,8). The slope of the line is calculated below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (8 - 6 ) / ( 8 - 0)
Slope = 2 / 8
Slope = 1 / 4
Therefore, the slope of the line will be equal to 1/4.
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What is the maximum number of student tickets that can
be sold if the drama club meets its sales goal?
40
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
60
80
100
Suns 100
5s + 10n 2 800
Answers
Answer:
The Drama Club scan sell all 100 student tickets at max if they reach their goal of $800.
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
E2020
pls help easy middle school math
Answers
Answer:
Step-by-step explanation:
Question 2 is 3
Question 3 is 10^16
Question 4 is 1/3^5
Question 5 is r^m-n
Answer:
2. 2) x = 3
3. 3) 10^16
4. 2) 1/3^5
5. 1) R = m-n
Step-by-step explanation:
2 and 3 rules. (A^n)^m = A mxn
4 rules. m + n then flip the fraction till it looks like 1/3^d
5 rules. r^m divided by r^n = R m-n
What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
Y=-2/3x-2
Y=2/3x-2
Answers
We can see that the y-intercept of the line is [tex]-2[/tex] and its slope is [tex]-\frac{2}{3}\\[/tex] since to get from [tex](-3,0)[/tex] to [tex](0,-2)[/tex] we have to run by [tex]3[/tex] units to the right and rise by [tex]2[/tex] units down. The the equation of your line in slope-intercept form is [tex]y = -\frac{2}{3}x -2\\[/tex]. All we have to do now is to rewrite it in standard form.
[tex]y = -\frac{2}{3}x -2\\ 3(y) = (-\frac{2}{3}x -2)3 \\ 3y = -2x -6 \\ 2x +3y = -2x -6 +2x \\ 2x +3y = -6 [/tex]
Answer:[tex]2x +3y = -6[/tex]
Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)
Answers
Answer:
y=-8x+3
Step-by-step explanation:
Slope-intercept form means
[tex]y=mx+c[/tex]
To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.
Since the line is parallel to [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,
[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]
so, the equation becomes,
[tex]y=-8x+3[/tex]
I'm doing a worksheet about dividing fractions and I dont understand it. it's asking me to estimate and then write the quotient in simplest form. the problems are 1.) 1/2 ÷ 1/4. 2.) 4/5 ÷ 2/3. 3.) 14/15 ÷ 7. 4.) 8÷ 1/3. 5.) 12/21 ÷ 2/3. 6.) 5/6 ÷ 5/12. 7.) 5/8 ÷ 1/2.
can anyone help me?
Answers
1. answer: 2
2. answer: 1 and 1/5
3. answer: 2/15
4. answer: 24
5. answer: 6/7
6. answer: 2
7. answer: 1 and 1/4
Explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes _________.
For fraction multiplication, multiply the numerators and then multiply the denominators to get ______.
Write the equation in point-slope form of the line that passes through (7, -6) and has the slope of 1/2.
PLS HELP
Answers
Answer:
y=1/2x-6
Step-by-step explanation:
use the equation y=mx+b
m=slope and b=y-intercept.
we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!
What is the opposite of negative 21 or -21
Answers
Answer:
21
Step-by-step explanation:
thats the opposite of negative 21
Answer:
positive 21
Step-by-step explanation:
The admission fee to an amusement park is $18. It costs an additional c dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusement park and each rent a locker is $46. How much does it cost for one person to rent a locker?
Answers
Answer:
$5 for one person to rent a locker
Step-by-step explanation:
Assuming the $18 is for one person, then two people it would be $36, since $18 + $18 = $36 and it's stated there's two people. If you subtract $36 from $46 you get $10, and since it's for two people you split it in half (so basically divide by 2) you get $5 for a locker.
Hope this helps!
Find the unit rate: $23.96 for 4 pounds
Answers
Answer:
5.99 dollars per pound
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.