Answer:
[tex]x = \frac{54}{7} [/tex]Step-by-step explanation:
(12x − 36) = 5x + 18
First of all remove the parenthesis
That's
12x - 36 = 5x + 18
Next subtract 5x from both sides of the equation
We have
12x - 5x - 36 = 5x - 5x + 18
7x - 36 = 18
Add 36 to both sides of the equation
That's
7x + 36 - 36 = 18 + 36
7x = 54
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{54}{7} [/tex]
We have the final answer as
[tex]x = \frac{54}{7} [/tex]
Hope this helps you
Answer: x=54/7
Step-by-step explanation:
To find the value of x, we need to use algebraic properties to isolate x.
12x-36=5x+18 [subtract both sides by 5x]
7x-36=18 [add both sides by 36]
7x=54 [divide both sides by 7]
x=54/7
Now, we know that x=54/7.
The matrix below represents the solution to a system of equations.
Which of the following describes the solution?
Answer: C
Step-by-step explanation:
What is the solution of the following quadratic inequality?
XA – 18x²=-64
0 (-3.623, -2.208) U (2.208, 3.623)
[-3.623, -2.208] U [2.208, 3.623]
0 (-00, -3.623) U (-2.208, 2.208) U (3.623, co)
(-00, -3.623] U-2.208, 2.208] U [3.623, có)
o
Answer:
Answer D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddd
What is a requirement of adjacent angles?
Answer:
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards. (a) What is the probability that all four cards are sevens. (b) What is the probability that at least one of the cards is a seven. (c) What is the probability that none of them are seven. (d) What is the probability that two out the four cards is a seven
Answer:
a) The probability of getting a seven is 4/52
b) At least one of the cards is a seven=0.2813
c) The probability that none of them are seven= 0.7187
d) The probability that two out the four cards is a seven= 0.043
Step-by-step explanation:
A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.
a) The probability of getting a seven is 4/52=0.0769
b) At least one of the cards is a seven=
1- P(no seven)
= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813
c) The probability that none of them are seven=4C0 * 48C4/ 52C4= 0.7187
d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven
= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043
Which coordinate pair represents the reflection of (-4,6)
What is -20.3-14.34?
Answer:
-34.64
Step-by-step explanation:
-20.3-14.34
-34.64
33 feet is how many meters? Hint: 1 ft ≈ 0.305 m Round your answer to the nearest tenth. (HELP!)
Answer:
10.1m
Step-by-step explanation:
1ft = 0.305m
33ft = 33 x 0.305m = 10.065m ≈ 10.1m
Solve the system using elimination.
7x + 10y = 27
X-10y = -19
The solution is
(Simplify your answer. Type an ordered pair.)
The solution is (1,2)
Step-by-step explanation:
7x + 10y = 27
x - 10y = -19 +--------------------
8x = 8
Divide by 8 on both sides
x = 1
To find y substitute any of the equations to 1
7(1) + 10y = 27
7 + 10y = 27
Substract 7 from both sides
10y = 20
Divide by 10
y = 2
which ordered pair is not a solution to this system?
x+y > 3
x + 2y > 5
Answer:2,2
Step-by-step explanation:
I guess
10 friends share six pizzas equally. What fraction of a pizza does each friend get?
Answer:
10 friend=6 pizza now,
1 friend gets =10÷6
=5÷3
A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70
Answer:
The 3 mile cab ride includes a basic charge as well as the cost for the distance covered. For a 6 mile trip, the cost ...
Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He paid for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?
Answer:
300
Step-by-step explanation:
Let x = cost of desktop computer; then x - 250 = cost of laptop computer
converting % to decimals, 9% = 0.09 and 6% = 0.06
Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850
Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.
(show work please)
Answer:
156
Step-by-step explanation:
Since, ∠CAT and ∠TAD is a linear pair.
Therefore,
∠CAT + ∠TAD = 180°
14° + (x + 10)° = 180°
(x + 24)° = 180°
x + 24 = 180
x = 180 - 24
x = 156
4/9(3/8x-27/16)=13/4
Answer:
x=24
Step-by-step explanation:
a triangle has side lengths of (9.7m-6.8m) centimeters, (6.6m+6.5p) centimeters, and (2.2p-6.4n)centimeters. which expression represents the perimeter, in centimeters, of a triangle?
Answer:
To find the perimeter of a triangle, you would need first all three side lengths.
9.7m-6.8m = 2.9, 6.6m+6.5p=7.1, 2.2p-6.4= -4.2. once I added all the sides it was 5.8.
By how much does the outlier in the following data set increase the range of the data set?
{59, 70, 63, 46, 60, 38, 60, 51, 48, 85, 66, 55, 236}
To find the range, subtract the smallest from the biggest number.
The outlier is most commonly the biggest or smallest number. Obviously it is 236 in this situation.
To find how much the outlier increases the range, you need to find out the range WITH and WITHOUT the outlier.
Without the outlier: 39
With the outlier: 190
Then you subtract 190 - 39 because you are trying to find out how much MORE RANGE the outlier makes.
The answer is 151.
THEREFORE, The outlier increases the range by 151.
Suppose you travel 300 miles on a highway for 6 hours.At what rate did you travel?use the distance formula d=rt and solve for r.
Answer:
50 mph
Step-by-step explanation:
Solve the equation x-3=23
X=
Answer:
26
Step-by-step explanation:
26 - 3 = 23
hope this helps
Answer:
x = 26
Step-by-step explanation:
x-3=23
Add 3 to each side
x-3+3=23+3
x = 26
A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AN(BNC) =
(1, 3, 5, 6, 7, 9)
O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
OO
The intersection A n(B n C) is an empty set: {∅}
How to get the intersection between the 3 sets?
For two sets A and B.
A n B is defined as the intersection between A and B, so it is the set of common elements between A and B.
Here we have:
A = {1, 3, 5, 7, 9}B = {2, 4, 6, 8, 10}C = {1, 5, 6, 7, 9}Then:
A n (B n C)
First, we have:
B n C = {6}
6 is the only common element between B and C.
And 6 does not belong to A, then:
A n (B n C) = {∅}
Which is an empty set.
If you want to learn more about sets:
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3x+4=17x-10 what is x
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]3x+4=17x-10[/tex]
Subtract 4 from both sides:
[tex]3x+4-4=17x-10-4[/tex]
[tex]3x=17x-14[/tex]
Subtract 17x from both sides:
[tex]3x-17x=17x-14-17x[/tex]
[tex]-14x=-14[/tex]
Divide both sides by -14:
[tex]\frac{-14x}{-14}=\frac{-14}{-14}[/tex]
[tex]x=1[/tex]
Answer:
1
Step-by-step explanation:
Step 1:
3x + 4 = 17x - 10
Step 2:
4 = 14x + 10
Step 3:
14 = 14x
Answer:
x = 1
Hope This Helps :)
Please help I can’t afford to fail this class :(
what 6.8 into 3 by 4. urgent
Step-by-step explanation:
5.1 .......... write it fast..........
Simplify. 24/36 divided by 9/27
Suppose P(C) = 98%; P(D) = 88%; and P(C or D) = 33%.
Find P(C and D).
Can this really be a probability? If not, explain why not.
Answer:
[tex]P(C\ and\ D) = 153\%[/tex]
Step-by-step explanation:
Given
[tex]P(C) = 98\%[/tex]
[tex]P(D) = 88\%[/tex]
[tex]P(C\ or\ D) = 33\%.[/tex]
Required
[tex]P(C\ and\ D)[/tex]
In probability, the relationship between the given parameters and the required parameter is:
[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]
Substitute values in the above formula
[tex]P(C\ and\ D) = 98\% + 88\% - 33\%[/tex]
[tex]P(C\ and\ D) = 153\%[/tex]
No, it can't be a probability
Because [tex]P(C\ and\ D) > 100\%[/tex]
The following quadratic equations can be solved by extracting square roots x²=36
Answer:
x= 6
Step-by-step explanation:
you can do 6 squared, which is also equal to 6 x 6
The graph of a function must be linear if it has what characteristic?
It passes through the origin. It crosses the x-axis more than once.
It crosses the y-axis exactly once
It has a constant slope.
Answer:
It has a constant slope.
Step-by-step explanation:
A linear function graphs as a straight line. It will have a constant rate of change.
It has a constant slope.
Answer:
D. It has a constant slope on Edg2020
Step-by-step explanation:
Hope this helps!!! Have a great day!!!
Given vertex form, how do you think changing the value
of "h" will transform the parent function (y = x²).
Jill, Cathy, and Sandy were in line for a roller coaster ride. How many ways could they be seated if the ride held 3 people in each seat?
Answer:
6
Step-by-step explanation:
1x2x3=6
Graph the line with slope 8 and y-intercept −8.
To create the slope 8, you would have to do the rise over run:8/1. which means u go up 8 units and to the side one unit and you keep doing that. And since the y-intercept is -8, then you start your first point at -8 and continue to go up.
The graph is attached below:
What is graph?Graphing basic functions like linear functions and quadratic functions is easy. The basic idea of graphing functions is
Identifying the shape if possible. For example, if it is a linear function of the form f(x) = ax + b, then its graph would be a line; if it is a quadratic function of the form f(x) = ax2 + bx + c, then its a parabola.
finding some points on it, by substituting some random values of x and finding the corresponding values of y by substituting each value into the function.
For graphing quadratic function also, we can find some random points on it. But this may not give a perfect U-shaped curve. This is because, to get a perfect U-shaped curve, we need where the curve is turning. i.e., we have to find its vertex. After finding the vertex, we can find two or three random points on each side of the vertex and they would help in graphing the function.
Given:
slope= 8
y- intercept = -8
So, the equation can be
y= mx+ c
y= 8x - 8
Learn more about graph here:
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Andy was buying
$5 hats and $3
gloves for every
person on his
Christmas list. He
also bought one roll
of wrapping paper
for $2. Let x
represent the
number of people
on his Christmas
list.
Answer:
5x+3x+2= total
x is total number of people times cost
Answer:
5x+3x+2=total
8x+2=total
Step-by-step explanation:
you add the 5x and 3x and get 8x plus the 1 roll which cost 2 and you have total money spent