Answers
Answer:
Step-by-step explanation:
-6n + 2.9 = 11
subtract 2.9 from both sides
-6n = 8.1
divide both sides by -6
n = -1.35
2/3n - 3 = 8
add 3 to both sides
2/3n = 11
multiply both sides by 3
2n = 33
divide both sides by 2
n = 16.5
hope this helps <3
Answer:
left side:
-6n = 11 - 2.9
-6n = 8.1
n = - 8.1/6
n = - 1.35
right side:
2/3 n = 8 + 3
2/3 n = 11
n = 33/2
n = 16.5
Related Questions
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange
Answers
Answer:
$0.44 each
Step-by-step explanation:
3.08/7 = 0.44
The required cost in dollars per orange is $0.44.
Given that,
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange is to be determined.
The ratio can be described as the proportion of the fraction of one amount towards others. e.g.- water in milk.
What is arithmetic?In mathematics, it deals with a number of functions according to the statements.
here,
Let the cost of 1 orange = $x
The grocery store sells a bag of 7 oranges for $3.08.
So for 1 orange,
x = 3.08 / 7
x = $ 0.44
Thus, the required cost in dollars per orange is $0.44.
Learn more about ratios here:
brainly.com/question/13419413
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The manufacturer of official NFL footballs uses a machine to inflate its new balls to a pressure of 13.5 pounds. When the machine is properly calibrated , the mean inflation pressure is 13.5 pounds, but uncontrollable factors cause the pressures of individual footballs to vary randomly from 13.3 to 13.7 pounds. For quality control purposes, the manufacturer wishes to estimate the mean inflation pressure to within 0.025 pound of its true value with a 99% confidence interval. What sample size should be used
Answers
Answer:
106
Step-by-step explanation:
Given that:
Mean (m) = 13.5 pounds
Error margin = 0.025
α = 99%
Variation interval = range = 13.3 to 13.7
Standard deviation (σ) estimate from range :
Range / 4
(13.7 - 13.3) /4
= 0.4 / 4
= 0.1
Zcritical at 99% = 2.576
Using the formula :
Sample size (n) = [ (Zcritical * σ) / M. E]^2
n = [(2.576 * 0.1) / 0.025]^2
n = (0.2576 / 0.025)
n = 10.304^2
n = 106.172
n = 107 samples
What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
A) Leg = Hypotenuse ∙ √2
B) Hypotenuse = Leg ∙ √2
C) Leg ∙ Hypotenuse = √2
Answers
Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Answer:
progably B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.
There's a picture of a circle with the radius of 21 cm
Picture of the circle:
Answers
Answer:
65.94cm
Step-by-step explanation:
The two equivalent equations to find the circumference of a circle are:
Circumference = 2 * pi * radius
Circumference = pi * diameter
Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:
Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm
if 126 base n is equal to 86 find the positive value of n
If 126n = 86, find a positive value for n
Answers
Answer:
0.68?
Step-by-step explanation:
I am not from English speaking country so I am not sure about the first sentence but the second
126n = 86 | /126
n = 86/126
n ≈ 0,68
The value of y varies directly with x, and y =-10 when x=40, identify the value of y when x =-5
Answers
Answer:
I think that answer is 5 or 35
An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management
Answers
Answer:
Step-by-step explanation:
Here are the missing values;
Mean μ = 15.5 minutes
Standard deviation = 1.7 minutes
A Random sample of 90 completion
The sample mean = 15.4 minutes
Level of significance = 0.1
Then the following analysis can be made on the above study.
Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]
the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]
Since, the value is less than, then this is a one-tailed test.
The Z test statistics can be computed as:
[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]
[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]
[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]
Z = −0.560
The critical value of Z at 0.1 level of significance is:
[tex]Z_{0.1} = -1.28[/tex]
Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28
Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.
The lay in Burlington collected $3 930 in overdue fees last year. This year, the library
collectieted 3144 What is the percent of decrease in the amount collected?
Answers
Answer:
We conclude that the percent of decrease = 20%
Step-by-step explanation:
Given
Original amount = $3930Amount of decrease = $3930 - $3144 = $786Using the formula
Percent of decrease = ( amount of decrease / orignal amount × 100 ) %
= ( 786 / 3930 × 100 ) %
= ( 0.2 × 100 ) %
= 20%
Therefore, we conclude that the percent of decrease = 20%
WDGWADgawYd awIdwaiudwaiudgaidgawida
Answers
Solve the system of equations given below.
y - 15 = 3
-2.1 + 5y = -3
Answers
Answer:
1) y=18
2)y=-0.18
Step-by-step explanation:
1) y-15=3. Add 15 on both sides.
y=18
2)-2.1+5y=-3. Add 2.1 on both sides
5y=-0.9. Divide 5 on both sides
y=-0.18
You can spend up to $35 on a shopping trip. You want to buy a shirt that cost $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt
Answers
Answer:
Step-by-step explanation:
a. 35 greater than or equal to 14 + x
35 - 14 = 21
x = $21
b. If the shirt is 30% off it would cost $9.80
14 x 0.3 = 4.2
14 - 4.2 = 9.8
35 is greater than or equal to 9.80 + x
35 - 9.8 = 25.2
x = $25.20
This changes the inequality by making x greater than it was in part a
c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.
If rick buys a remote control car of $34.00 what is the selling price
Answers
Answer:
Step-by-step explanation:
Lol what is this question man. If he bought it for $34, pretty sure the "selling price" is $34.00
Answer:
$34.00
Step-by-step explanation:
if he get it for $34.00 so the selling price is $34.00
1) There are 56 people at a party. Each table has 8 seats. How many tables are
needed so all of the people have a seat?
56 +
= 8
6
54
Answers
Answer:
56 / 8
Step-by-step explanation:
Would the space in between 2 transversals be an interior angle?
Answers
Answer:
When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°. so yes
Step-by-step explanation:
Carla currently has $300 in her bank account. Each time she goes to the ATM,
she withdraws $20. Write an equation representing this situation:
Answers
Answer:
y = -20x + 300
Step-by-step explanation:
y is total amount of money left (because this is the answer we are trying to find.)
x is the amount of times she goes to the ATM (because this is our unknown variable.)
-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.
Consider the figure below. If ∆ABC is translated using the vector (x, y)→(x−3, y+3), then rotated 180° about the origin, what will be the x-coordinate of C’ ?
Answers
Answer: -7
Step-by-step explanation:
I’m doing the test
I need G PLZZZZZZZZZZZZZZZ
Answers
Determine the measure of x? Please include the way you got the answer as well please
Answers
Answer:
x = 16°
Step-by-step explanation:
The three internal angles of the triangle are:
180° - 91° = 89° (angles in a straight line)
180° - 105° = 75° (angles on a straight line)
x = x (vertical angles are congruent)
x + 89 + 75 = 180 (sum of interior angles of a ∆)
x + 164 = 180
x = 180 - 164 (subtraction property of equality)
x = 16°
Nine children on the swim team dont like ice cream if this represents 18% of children on the swim team how many children are on the swim team
Answers
Answer:
Um.. Im not sure about this one.. you're in college?
Step-by-step explanation:
Answer:
50 children in total
Step-by-step explanation:
question is really asking this: 9 is 18% of what number
9 = .18x
9/.18 = 50
Order the following expressions by their values from least to greatest.
PLEASE ANSWER NOW FOR TESTT!!!
Answers
Answer:
l , k , j
Step-by-step explanation:
j is near to 1 so, j has greatest value
k has second great value
l has negative value
So,
l has least value also negative value.
The forces exerted on an object are shown.
A box has an arrow pointing right labeled 6 N and an arrow pointing left labeled F.
If the object moves right, which of the following is a possible value of F?
Answers
Answer:
The possible value of F must be 5N.
Step-by-step explanation:
A vector quantity is a quantity that comprises of both magnitude and direction. And an example of a vector quantity is force.
In the given question, the pointing arrows are two forces in action, pushing the box in opposite directions.
If the values of both forces pointing left and right are equal, the box would not move. This implies that the two forces are balanced, so the box would be at a state of dynamic equilibrium.
If the box moves to the right, it implies that the force F is less than that pointing right i.e 6N > F.
Therefore, the possible value of F is less than 6N. Thus, F = 5N.
A group of eight people are attending the movies together.
a. Two of the eight insist on sitting side by side. In how many ways can the eight be seated together in a row?
b. Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the eight be seated together in a row?
Answers
Answer:
I think A
Step-by-step explanation:
Given: FG is an median. What can you conclude?
Answers
Answer:
The last option line DG is congruent to line GE
Step-by-step explanation:
Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side
So basically G is the midpoint of DE because FG is the median.
The last option, we can conclude that line DG is congruent to line GE
What is median?Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
We are given that FG is an median.
Thus, basically G becomes the midpoint of DE because FG is the median.
So, DG = GE
Hence,
The last option, we can conclude that line DG is congruent to line GE
Learn more about median;
https://brainly.com/question/17060266
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2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>
Answers
Answer:
j
Step-by-step explanation:
We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.
(3-3,7-7) = (0,0)
(-5-3,-3-7) = <-8,-10>
Hope this helps!
Grocery store sells tangerines in 2/5 kg bags. A customer bought 4kg of tangerines for a school party. How many bags did he buy
Answers
In order to have 4 kg, he must have 20/5 kg. Each bag is 2/5 kg, so 2/5 times 10 is 20/5 or 4kg. Therefore, he bought 10 bags of tangerines for the school party.
Please help me with this problem will give branlyiest.
Mr. Thompson, a retiree, looks at his check register. What is Mr. Thompson's yearly rent (using 12 months)? $______ What was the average grocery expense in this time period? $_________ Knowing that he buys groceries weekly, Mr. Thompson estimates his yearly expense for groceries to be (4*12* $______ or $_____ Then, Mr. Thompson realizes there are more than 48 weeks in a year. He revises his estimate using (52 x $______ to get $_______ for his estimate. Based on the calculations above, how much money should Mr. Thompson budget annually for food and rent? $______ If Mr. Thompson receives $1,006.28 twelve (12) times a year, what is his yearly income? $_______ Expressed as a percent of income, enter an estimate for rent (to the nearest tenth) and food expenses. Rent: ______%; Food: _____%
Answers
Answer:
$2459.04
$32.31
$33.45 or $34.92
$32.31
$1680.12
$4139.16
$12075.36
20.4% and 3.2%
Step-by-step explanation:
Monthly rent is 204.92, so yearly rent is 204.92 * 12 = 2459.04
His average grocery expenses is the sum of all the grocery expenses, divided by the number of times he did them
33.45 + 34.92 + 28.56 = 96.93
96.93 / 3 = 32.31
33.45 or 34.92
Since he's revising the calculation, and he does groceries once a week, we will multiply the average he spent on grocery by the 52 weeks he's using in calculations. So, 32.31
The estimate for grocery in a year is,
52 * 32.31 = 1680.12
His annual budget for food and rent would be adding the estimated amount he's to spend on grocery together with the estimated amount he's to spend on rent
2459.04 + 1680.12 = 4139.16
If he receives 1006.28 in a month, multiplying by 12 would give us the estimate he's to receive in a year.
1006.28 * 12 = 12075.36
Percentage
Rent = 204.92 / 1006.28 * 100%
Rent = 20.4%
Food = 32.31 / 1006.28 * 100%
Food = 3.2%
Don't forget the brainliest :)
I need help i dont understand any of this
Answers
Step-by-step explanation:
multiply all the fractions together in your calculator :)
The Student Council sold the following items at the home football game. A B C D E F 1 Item Number Price Income Cost Per Sold Item 2 lollipops 85 $0.25 $21.25 $0.12 3 Gummies 48 $0.35 $16.80 $0.18 4 Bubble Gum 79 $0.45 $35.55 $0.22 5 Combos 46 $0.55 $25.30 $0.26 $ $ $ 16! DHE $ 6. TOTAL $50.72
If n stands for number sold and c stands for cost per item, in which column would you use the formula: n x c?
A; Column D
B: Column E
C: Column F
D: Column G
Answers
Answer: D: Column G
Step-by-step explanation:
If n is the number of items sold and c is the cost per item, multiplying n and c would give the total expenses for selling that item.
As expenses are in column G, this is therefore the right column to use n * c.
This is can be proven by using the Lollipops as an example.
n = 85
c = $0.12
n * c = 85 * 0.12 = $10.20
$10.20 is the amount of expenses for lollipops in Column G so Column G must be right.
what's 2+2-2-4+77 and what is the square root of the sum
Answers
Answer:
simplified it is 75 the square root of 75 is 8.66025403784
Step-by-step explanation:
Find f(2) If f(x) = (x + 1)2.
Answers
Answer:
f(2)=9
Step-by-step explanation: