Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?
Answer:
Jason
Step-by-step explanation:
Answer:
It's Seth
Step-by-step explanation:
Solve the inequality. 2(4x – 3)-3(3x) + + 5x?
Answer:
2 (2 x - 3)
Step-by-step explanation:
Simplify the following:
2 (4 x - 3) - 3×3 x + 5 x
-3×3 = -9:
2 (4 x - 3) + -9 x + 5 x
Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):
2 (4 x - 3) + (5 x - 9 x)
5 x - 9 x = -4 x:
2 (4 x - 3) + -4 x
2 (4 x - 3) = 8 x - 6:
8 x - 6 - 4 x
Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:
(8 x - 4 x) - 6
8 x - 4 x = 4 x:
4 x - 6
Factor 2 out of 4 x - 6:
Answer: 2 (2 x - 3)
The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).
The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
We have a graphical representation of two functions f(x) and g(x) and where they intersect.
We have to solve the equation f(x) = g(x)
Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.
In the question given - We have a straight line and a parabola -
Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).
Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
Alternative Method -
The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]
The solution can be calculated by equating both of the above expressions and solving them.
mx + c = [tex]\sqrt{4ax}[/tex]
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- 4(6 + 5g) equivalent expressions
Answer:
the awnser is 4g because if you multiply the -4 by 6 and 5 g you get the equation: -24+-20g.. subtract -24 from -20 you will get 4g
(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of the number of carp among those 20
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
A store is having a sale with a 19% discount on all merchandise. Write an
equation representing between the regular cost of merchandise (r) and
the discount received (d).
Your answer
Answer:
3
Step-by-step explanation:
Where is most of Earth’s fresh water found?
in the ground
near the poles
in lakes and streams
in the air as water vapor
Answer:
B: near the poles
Step-by-step explanation:
got it right on edge 2020
Answer:
near the poles
Step-by-step explanation:
trust me I know
A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
1. Explain the difference between circumscribed angles and inscribed angles in relationship to a circle.
2. Explain, in your own words, the steps required to convert any equation of a circle into standard form be completing the square.
3. Explain/define the following terms, or draw a picture and label the terms.
a. radius
b. diameter
c. chord
d. secant
e. tangent
f. point of tangency
9514 1404 393
Explanation:
1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.
If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)
__
2. The general form of the equation of a circle is ...
Ax² +Ay² +Dx +Ey +F = 0
Any equation of a circle can be put in this form. If we divide by A, this can be written as ...
x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A
and the equation can be further transformed to the standard form ...
(x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c
The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.
__
3. Again refer to the attached diagram.
a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.
b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.
c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.
d) A secant is a line containing two points of the circle. Lines CG and CE are secants.
e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.
f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).
HELP!! It’s question 8
Answer:
the answer is 1.25 or 5/4
Answer:
Actual kitchen area equals 108 feet
Step-by-step explanation:
room turns into 12 ft. by 9 ft.
to find area: 12 x 9
Actual kitchen area equals 108 feet
Write an Equivalent Expression by combining like terms for 2x+3x+y+2y
Answer:
5x+3y
Step-by-step explanation:
2x+3x=5x since they have the same variable.
y+2y
1y+2y u can put a 1 so that would be 3y
5x+3y
please help me asap
Answer:
answer is c
Step-by-step explanation:
You have $500, sale price is $435. How much change will you get
Answer:
go to sleep its 11:23 also u will get
$65 dollars pls mark me brainleist
Step-by-step explanation:
. Jordan is inviting 8 friends to his party. He wants to give each friend 2 maracas and have 2 for himself. Maracas come in boxes of 6. How many boxes does he need to buy? +
Answer:
3 boxes of maracas
Step-by-step explanation:
9 x 2 = 18
18 ÷ 6 = 3 boxes of maracas
Answer:
He needs to get three boxes.
Step-by-step explanation:
We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.
8 * 2= 16
You add the two maracas for himself to find the total maracas needed.
16+2= 18
Next you divide the amount of maracas needed by six because the are six maracas per box.
18÷6=3
The total number of boxes needed is three
20) Solve the problem. Suppose that 12 unique names are put into a hat and drawn at random without
replacement. How many different ways can you draw all of the names from the hat? Remember that
"without replacement" means that the names are not returned to the hat after they are chosen. Write your
answer in factorial notation.
SHOW WORK: None to be shown
A) 12!
B) 11!
C) 10!
D) 12! - 1
the answer would be A) 12 because there are only twelve names
The number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
Number of unique names = 12
That 12 unique names are put into a hat and drawn at random without
replacement.
"Without replacement" means that the names are not returned to the hat after they are chosen.
Number ways (without replacement) = 12x11x10x9x8x7x6x5x4x3x2x1
Number ways (without replacement) = 12!
Thus, the number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
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What is 1.452 rounded to the nearest hundredth
Answer:
1.450
Step-by-step explanation:
what grade ar4e you in I'm guessing 4th or 5th
PLZZ SOMEONE GIVE ME THE EQUATION!! You have $20 to buy snacks for yourself and 4 friends. If you buy a bag of chips for each person, and still have $13.75 left, how much did you spend on each bag of chips?
Answer:
1.56
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
20-13.75 = 6.25
6.25 / 5 = 1.25
et.
n
4. Elena's account balance with her parents is
-$5.50. She adds a certain amount of
money to her balance by mowing the lawn.
Elena now has an account balance less than
$20. Determine a possible amount she
earned mowing the lawn. Then interpret the
solution. (Example 1) moll end to bi
Answer:
-$5.50>x>$20
Elena has more than -$5.50 but less than $20.
Step-by-step explanation:
Ok, so the question says that Elena has -$5.50 in her account. That means that she owes someone ( the bank) $5.50.
Elena then mows the lawn which may have paid off her debt. But we don't know that for sure.
All they give us is that Elena has less than $20 in her bank account.
So your answer may look like this:
-$5.50>x>$20
Elena has more than -$5.50 but less than $20.
Elena earned, amount more than -$5.50 and less than $20 by mowing the lawn.
What is Inequality?If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
For example, x>3 (x should be greater than 3)
Given,
Account balance of Elena with her parents = -$5.50.
Which means she is in debt of $5.50.
Elena then adds a certain amount of money to her balance by mowing the lawn,
which may have paid off her debt, that is not sure.
But,
Account balance of Elena after mowing the lawn is more than - $5.50 less than $20.
Let the money Elena earned by Elena earned mowing the lawn = x
Then,
Possible amount she earned mowing the lawn = -$5.50 < x <$20.
Hence, Possible amount Elena earned mowing the lawn is
between -$5.50 and $20 = -$5.50 < x < 20.
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In an election for school president, the loser received 70% of the winner's votes. If 969 votes were cast, how many did each receive?
Answer:
The ans would be 291 (however we can round this off to 290 as no can partially vote as 0.1)
Step-by-step explanation:
We can easily find the loser's vote by-
70% of 969= 678.9
now, all we need to do is find the winners vote
we know that the total no. of votes= 969 & we know the no. of votes loser got
so, subtracting the losers vote from 969 would give us the remaining no. of votes (the winner's votes)....so,
969-678.9=290.1
we can round this off to 290
Ms. cooper goes to Panera Bread for dinner and orders the Green Goddess salad. Her total was $8.79. Ms. cooper gave the cashier $10, how much change did she receive?
HELP NOW
Write an equation of the parabola that passes through the point (62,−490) and has x-intercepts −8 and 72. Then find the average rate of change from x=−8 to x=2.
Answer:
y = 0.7(x^2 - 64x - 576)
Average rate of change = -49.
Step-by-step explanation:
As the x intercepts are -8 and 72 we can write the equation
y = a(x + 8)(x - 72) where a is some constant to be found.
As it passes through point (62, -490) we have, substituting:
-490 = a(62+8)(62-72)
-490 = - 700a
a = 0.7
So the equation of the parabola
y = 0.7(x + 8)(x - 72) or
y = 0.7(x^2 - 64x - 576).
Average rate of change between x = -8 and x = 2
= [0.7(2+ 8)(2 - 72) - 0.7(-8+8)(-8-72)] / (2 - -8)
= -490 - 0 /10
= -49
write the fraction of 15/25 in its simple form
Answer:
3/5
First you would need to find the greatest common factor of 15 and 25
which is 5
Then divide the numerator and denominator by the GCF
15 divided by 5
25 divided by 5
Then simplify your answer is
3/5
Pete has 4 packs of gum balls. Each pack has 5 gum balls. If Pete gives the same number of gum balls to 6 friends, how many gum balls will each friend get?
2
3
4
5
Answer:
I would say 3
Step-by-step explanation:
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
Answer:
13 songs
Step-by-step explanation:
40 divided by 2.89 is 13.84. DO NOT ROUND TO 14
So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs
A pet store sells dog treats and the prices are represented
in the graph
X = number of treats
y = cost (in dollars)
Select the true statement.
Select one
Each treat costs $0.50
Each treat costs $3
Each treat costs $2
Each treat costs 51
Answer: 1$
Step-by-step explanation:
An above-ground garden is in the shape of a rectangular prism measuring 5 feet by 8 feet by 1.5 feet. The organic soil costs $1.20 per cubic foot. How much will it cost to fill the above-ground garden fully?
Answer:$72.00
Step-by-step explanation: To find the volume you do 5×8×1.5 which equals 60. Then you multiply 60 by 1.20 to find your total cost. Answer is 72
3. Simplify the following inequalities.
Answer:
7x+7 > 23-x
group like terms
7x+ x > 23-7
8x > 16
we divide both side by
8x > 16
8 8
so 8 cancelled out 8 living
x > 16
8
x > 2
8
we
What’s the common factor for 72 and 84
Answer:
Step-by-step explanation:
This is the general method for doing this problem. First factor these numbers into primes.
72: 2 * 2 * 2 * 3 * 3
84: 2*2 * 3 * 7
Now each number has at least two 2s
Each number has at least one 3
The highest common factor is 2 * 2 * 3 = 12
Given the points P(2, –6) and R(8, 3), what is the component form of Vector PR?
- ⟨6, -3⟩
- ⟨10, -3⟩
- ⟨6, 9⟩
- ⟨10, 9⟩
Answer:
the third one
Step-by-step explanation:
jsut took it
Answer:
It’s C
Step-by-step explanation: