Answer:
1.5
Step-by-step explanation:
since 2 cups equals 3 gallons you can divide 3 by 2 and get 1.5. so there are 1.5 cups per gallon hope it helps
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’ ?
Answer: -7
Step-by-step explanation:
I’m doing the test
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
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.
What is 820 milliliters equal to in liters?
Answer:
0.82 L
Step-by-step explanation:
Answer: 0.82 liters
Step-by-step explanation:
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange
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:
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Can I get him with all the questions please?
Answer:
[tex]14.16\\15. a) 14[/tex]
Step-by-step explanation:
[tex]14. We\ are\ given\ that,\\The\ assumed\ number\ x\ is\ 4\ more\ than\ 12\\Hence,\\x=4+12\\x=16\\Lets\ see\ that\ x=16\ as\ a\ solution,\ matches\ with\ the\ other\ information\ provided.\\We\ are\ also\ given\ that,\\x<20, 16\ is\ less\ than\ 20\ too.\\x>13, 16\ is\ greater\ than\ 13\ too.\\x<17, 16\ is\ less\ than\ 17\ too.\\As\ all\ the\ conditions\ are\ satisfied,\ x=16\ as\ a\ solution\ is\ verified.\\[/tex]
[tex]15. a)\\Let\ the\ assumed\ no.\ be\ y\\Here,\ we\ are\ given\ the\ following\ information\ about\ y:\\y>10,\\y<20\\y>12\\y<15\\Hence,\\The\ number\ y\ lies\ in\ between\ 12-15.\\Hence,\\y\ could\ either\ be\ 13,14.\ But\ the\ phrase\ 'Of\ the\ numbers\ are\ left\\ I\ am\ the\ greater\ number', tells\ us\ that,\ y\ is\ the\ greater\ no.\ among\ 13\ and\ 14.\\Hence\ as\ 14>13,\\y=14[/tex]
I need G PLZZZZZZZZZZZZZZZ
solve the following equation for y
x+y=3
9514 1404 393
Answer:
y = 3 -x
Step-by-step explanation:
Subtract x from both sides of the equation.
x -x +y = 3 -x
y = 3 - x
Answer:
y=3-x
explanation
its that
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
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:
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
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.
10. What is the area of a triangle with base 4cm and
height 8cm?
A. 6cm2 B. 9cm2 C. 14cm D. 16 cm
Step-by-step explanation:
Area of triangle = 0.5(4)(8) = 16cm² (D).
The value of y varies directly with x, and y =-10 when x=40, identify the value of y when x =-5
Answer:
I think that answer is 5 or 35
1. Let U the set of students of the university of Cambridge. Let the subsets of U:
A: over 20 years, B: women, C: with social stratum of 1, 2 and 3.
Describe in words the next sets:
a)A
0
∩ C b)A ∪ B c)B
0
∪ C
0
d)(A ∩ C)
0
e)A
0
∪ C
0
f)(A ∪ C)
0
g)A
0
∩ C
0
h)A ∩ B ∩ C
i)A − B j)(A − B) ∩ C k)B 4 C l)A 4 B.
Compare the given description in c) and d) and the given in f) and g), can you conclude something?.
Answer:
A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.
B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.
C) As is already explained above, B ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.
D) This is the same as A). Refer to A).
E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.
F) Same as E). Refer to E).
G) Same as A). Refer to A).
H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.
I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.
J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.
K) B 4 C is nonsensical, there is nothing in set theory like this.
L) Same as K).
The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.
Step-by-step explanation:
Hope this helped!
Let f(x) = 2x - 5 and g(x) = 3x. Perform the indicated
operation.
g(x)/f(x)
SOMEONE HELP PLZ
Answer:
f{3x}=6x-5
Step-by-step explanation:
There isn't really much to do: if you perform the division between function you get a new function:
[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]
Find f(2) If f(x) = (x + 1)2.
Answer:
f(2)=9
Step-by-step explanation:
What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...
A. 5
B. 3
C. 6
D. 4
Answer:
A. 5
Step-by-step explanation:
-6 + 5 = -1
-1 + 5 = 4
4 + 5 = 9
9 + 5 = 14
The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle.
Given :
Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 mTo find :
The Length and the BreadthSolution :
As it is given that the length of rectangle is 6 m more than the breadth.
Thus, let us consider the Breadth as ''x''.
Then the Length will be ''x+6''.
We know that,
Perimeter of rectangle = 2(l + b)
According to Question,
➠Perimeter of rectangle = 2(x+6+x)
➠60 = 2(x+6+x)
➠60 = 2(x+x+6)
➠60 = 2(2x + 6)
➠60 = 4x + 12
➠60 - 12 = 4x
➠48 = 4x
➠48/4 = x
➠12 = x
______________________
∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.
And the Length of the rectangle will be,
↠x + 6
↠12 + 6
↠18 m
Hence,
Length = 18 mBreadth = 12 m▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Which expressions are equivalent to -6(6 + 2) + 8?
Choose all answers that apply:
A
-66 + 2 +8
B
- 66 - 4
None of the above
Answer:
None of the above
Step-by-step explanation: -6(6+2) + 8 = -40 so -66 + 2 +8 = 56 and -66 - 4 = 70
what's 2+2-2-4+77 and what is the square root of the sum
Answer:
simplified it is 75 the square root of 75 is 8.66025403784
Step-by-step explanation:
3 1/3 x 5? Tell me exactly how you got this answer like divide or multiply.
Answer:
50/3
Step-by-step explanation:
3 1/3 MULTIPLY 3 times 3 plus 1 to to get the anwser in a fraction
get 10/3 and MULTIPLY by 5/1
multiply and get 50/3
That is it. Hope this helps.
:)
Sales of video games and consoles fell from $1.15million to $1.03 million in 1 year. Find the percent decrease. Round the answer to the nearest tenth of a percent.
Answer:
Percent decrease = 10.43% (Approx)
Step-by-step explanation:
Given:
Old price = $1.15 million
New price = $1.03 million
Find:
Percent decrease
Computation:
Percent decrease = [(Old price - new price)/Old price]100
Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100
Percent decrease = [($0.12 million)/$1.15 million]100
Percent decrease = 10.43% (Approx)
Would the space in between 2 transversals be an interior angle?
Answer:
When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°. so yes
Step-by-step explanation:
In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)
Answer:
We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level
Step-by-step explanation:
p₀ = 12 % p₀ = 0,12
From sample p = 53/500 p = 0,106
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
p₀*n = 0,12*500 = 60
q₀ * n = 0,88 * 500 = 440
Then the binomial distribution can be approximate to a normal distribution
The significance level α = 0,05 CI = 95 %
We need to develop a one-tail test (to the left ) find p-value and compare it with α.
p(s) = ( p - p₀ ) / √ p*q /n
p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500
p(s) = - 0,014 / 0,015
p(s) = - 0,93
With this P score we find the area under the bell shape curve
p-value = 0,1762 and compare that area with α = 0,05
Then p-value > 0,05
Therefore we accept H₀
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: _____%
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 :)
Carla currently has $300 in her bank account. Each time she goes to the ATM,
she withdraws $20. Write an equation representing this situation:
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.
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?
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.
Solve the system of equations given below.
y - 15 = 3
-2.1 + 5y = -3
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
Given: FG is an median. What can you conclude?
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;
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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?
Answer:
I think A
Step-by-step explanation:
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
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
Please help answer the first 3 boxes for brainslt
> for brainslt
y=mx+b
1st one:
m=-3 b=-2
Not sure for proportional
Negative Slope
2nd one:
m=15 b=0
Proportional
Positive Slope
3rd one:
m=-4/3 b=8
Not sure proportional or not
Negative Slope
Answer:
Work shown below!
Step-by-step explanation:
y = -3x - 2
m = -3
b = -2
Non-proportional because it doesn't pass through the origin
Negative Slope
y = 15x
m = 15
b = 0
Proportional because it passes through the origin
Positive Slope
y = -4/3x + 8
m = -4/3
b = 8
Non-proportional because it doesn't pass through the origin
Negative Slope