Answer:
x = no solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
4x - 5 = x - 1 + 3x
Step 2: Solve for x
Combine like terms: 4x - 5 = 4x - 1Subtract 4x on both sides: -5 ≠ -1Here we see that -5 does not equal -1.
∴ This equation has no solutions.
There were 225 tickets sold for the ballgame. Children's' tickets were $1 and adults' tickets were $2. If
the total amount of tickets sold was $400, how many of each type were sold?
Answer: 175 adult and 50 children
Step-by-step explanation:
1x+2y=400
x+y=225
subtract x
y=225-x
substitute for y in first set
1x+2(225-x)=400
1x+450-2x=400
450-x=400
-x=-50
x=50
substitute for second set
50+y=225
y=175
The vertices of a polygon are shown below.
P(1, 3), Q(–2, 3), R(–4, 1),S(–4, –3), T(–2, –5), U(1, –5), V(3, –3),W(3, 1)
Which polygon has these vertices?
On a coordinate plane, 6 points are plotted and labeled hexagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 6 points are plotted and labeled octagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 8 points are plotted and labeled hexagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
On a coordinate plane, 8 points are plotted and labeled octagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
Answer:
The Answer is C
Step-by-step explanation:
This applies to your exam.
C
15 mm
8 mm
Pythagorean theorem
someone please help??????
Answer:
[tex]a) x=15\\b) AD\ is\ not\ parallel\ tp BC[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\Angle\ D=3x\\Angle\ A=2x\\Angle\ B=90\\Angle\ C=x\\The\ Angle\ Sum\ Property\ Of\ A\ Quadrilateral\ states\ that\ the\ sum\ of\ all\\ the\ interior\ angles\ of\ a\ quadrilateral\ is\ 180.\\Hence,\\ \angle D+ \angle A + \angle B + \angle C=360\\3x+2x+90+x=180\\3x+2x+x=180-90\\6x=90\\x=15\\Hence, x=15[/tex]
[tex]Hence,\\As\ Angle\ A\ and\ Angle\ B\ are\ co-interior\ angles, if\ they\ are\\ supplementary\ then\ AD \parallel BC.\ Lets\ check\ that\ out.\\Hence,\\Angle\ A=2x=2*15=30\\Angle\ B=90\ [Given]\\Hence,\\As\ 90+30\neq 180,\\Angle\ A +Angle\ B\neq 180\\Hence,\\As\ Angle\ A and\ Angle\ B\ are\ not\ supplementary, AD\ will\ not\ be\ parallel\ to\ CB.[/tex]
What ratios are equivalent to 4:3?
7:2
12/42
28:21
42:12
Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?
Answer:
The price of each CD before tax is $15.70
Step-by-step explanation:
Given that:
Number of CDs bought by Reuben = 5
Cost of five CDs = $81.50
Sales tax on each CD = $0.60
Sales tax on 5 CDs = 0.60*5 = $3.00
Price of CDs without tax = 81.50 - 3.00 = $78.50
Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]
Price of each CD = [tex]\frac{78.50}{5}[/tex]
Price of each CD = $15.70
Hence,
The price of each CD before sales tax is $15.70
Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?
Answer:
C
Step-by-step explanation:
used a calc and took test
Select the correct answer.
Which expression represents a difference of squares?
A.
81 − 49y2
B.
t2 + 100
C.
4x2 − 16x
D.
25k − 64
Answer:
The answer is A I'm not 100 percent sure
Answer:
A.
81 − 49y2
Step-by-step explanation:
edmentum answer---
(picture included) brainliest
Answer:
A. y = -1/4x + 1 1/2
B. The rate of change is losing/decreasing -1/4 (y axis unit) per (x axis unit)
Step-by-step explanation:
A. Your equation is 2x + 8y = 12
so solve this for y like any other other question. Start by subtracting 2x from both sides: 8y = -2x + 12
then divide both sides by 8 to isolate y: y = -2/8x + 12/8
simplify your equation: y = -1/4x + 3/2
turn 3/2 into a mixed fraction: y = -1/4x + 1 1/2
B. The rate of change is the same thing as the slope but you say it with units. I cant see a scenario but you can say something like:
The rate of change is losing/decreasing -1/4 (y axis unit) per (x axis unit)
Help! I’m awful at graphs and stuff
Answer: for b: function one has a greater rate of change
Step-by-step explanation: sorry i don't know the first one
Answer:
a) -2 and 4, b) function 2
Step-by-step explanation:
Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plug the points in:
[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]
(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)
So the slope of function 1 is -2.
We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.
[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]
And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.
Function 2 has a greater rate of change, since 4>-2.
Hope this helps!
2. Suppose you are making some soup. You have 7 types vegetables in front of you (one serving of each) and you want to include 4 of them in your soup (each being different). How many ways are there to do this?
3 different ways to do it.
Using the combination formula, it is found that there are 35 ways to do this.
The order in which the vegetables are included is not important, thus, the combination formula is used to solve this question.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given as follows:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 vegetables from a set of 7, thus:
[tex]C_{7,4} = \frac{7!}{4!(7-4)!} = 35[/tex]
There are 35 ways to do this.
A similar problem is given at https://brainly.com/question/24278448
Write as a decimal. Use bar notation if necessary.
50 points! i honestly forgot how to do algebra lol can someone help me and explain the steps for me?
2x + 14 = 18 x=?
Answer: x=2
Step-by-step explanation: Plug 2 in the equation. 2 x 2 is 4. 4 + 14 is 18.
Solve the system given:
y = -6
y = -2x - 2
A(-3,1)
B (-6,2)
C (1,3)
D (2,-6)
the answer to your question is:
D (2, -6)
i hope this was helpful ;)
HELP!!!! WILL MARK BRAINLIEST!!!!
Answer:
j
Step-by-step explanation:
Help me with question 3
The input x = 1 leads to multiple outputs y = 1 and y = 2 simultaneously, which is why choice D isn't a function.
A function is only possible if any input leads to exactly one output only. Choices A,B and C are all functions for this reason.
Answer:
I believe it would be C.
The senior class plans a school trip to Washington DC. Students should bring money for meals and
souvenirs. They are told to bring at least $60 but no more than $135. Write a compound inequality that
represents the amounts of money a student can bring.
Answer:
The required inequality is:
[tex]\mathbf{x >60\: and\: x<135}[/tex]
Step-by-step explanation:
Minimum Money students should bring = $60
Maximum Money students should bring= $135
We need to write compound inequality that represents the amounts of money a student can bring.
Compound inequalities are combination of two inequalities combined with "and" , and "or"
And is used, when both inequalities should be true.
Or is used when one of the inequality should be true.
In our case we would use and because we need both inequalities to be true.
The required inequality is:
[tex]\mathbf{x >60\: and\: x<135}[/tex]
8 cm
15 cm
20 cm
What is the surface area of the cuboid?
Answer:
Step-by-step explanation:
remember that the surface area is
S=2lw+2lh+2hw
S=2(15*20)+2(15*8)+2(8*20)=600+240+320=1160 cm^2
The surface area of the cuboid is 1160 square cm whose dimensions are
l= 20cm, w= 8 cm and h = 15 cm.
Given:
Length = 20 cm
width = 8 cm
Height = 15 cm
So, the formula for Surface area of Cuboid is
= 2(lw+ wh + lh)
Substituting the values l= 20cm, w= 8 cm and h = 15 cm into the formula as
= 2(lw+ wh + lh)
= 2 (20 x 15 + 8 x 15 + 8 x 20)
= 2 (300 + 120 + 160)
= 2 (580)
= 1160 square cm
Learn more about Surface area here:
https://brainly.com/question/29298005
#SPJ4
6 (4x6) x 9 (5x9) judjsjdjdjddjdnnddnfndndndndndndndndn
Answer:
48 600
Step-by-step explanation:
6(4×6) × 9(5×9)
Solve the numbers in brackets first
6(20) × 9(45)= 120 × 405
= 4 8 600
Answer:
6(20) × 9(45)= 120 × 405
= 4 8 600
do videos give mastary on khan?????????????????
Answer:
No they are only there so u can understand and answer the questions
an island has three towns located at points with the coordinates a (15,3) b (25,10) and c (0,20) where the coordinates have units of Km the government wants to locate a toxic waste dump at a position as far as possible away from each town you may assume that this location is not on the edge of the island find the coordinates at the point where the toxic waste dump should be located
9514 1404 393
Answer:
(13.06, 16.41)
Step-by-step explanation:
Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.
The midpoint of AB is ...
(A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)
The midpoint of AC is ...
(A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)
__
The differences between points are ...
B -A = (25, 10) -(15, 3) = (10, 7)
C -A = (0, 20) -(15, 3) = (-15, 17)
Then the perpendicular bisector equations can be written as ...
bisector of AB ⇒ 10(x -20) +7(y -6.5) = 0
10x +7x -245.5 = 0
bisector of AC ⇒ -15(x -7.5) +17(y -11.5) = 0
-15x +17y -83 = 0
These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...
x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06
y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41
The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).
_____
Further detail regarding the solution
Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...
R -S = (∆x, ∆y)
The midpoint of segment RS can be called ...
(R +S)/2 = (h, k)
Then the line that is a perpendicular bisector of RS can be written as ...
∆x(x -h) +∆y(y -k) = 0
This is the form that is used above.
__
The "cross multiplication method" for solving a pair of general-form linear equations ...
ax +by +c = 0
dx +ey +g = 0
will give the solution as ...
1/(ae -db) = x/(bg -ec) = y/(cd -ga)
If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.
[tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]
A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes
Answer:
49.6 minutes to create 308 bolts
Step-by-step explanation:
hope this helps :)
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
The equation of the line in slope-intercept form is:
[tex]y\:=\:\frac{-10}{7}x-\frac{45}{7}[/tex]Step-by-step explanation:
Given the points
(-8, 5)(-1, -5)Finding the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)[/tex]
[tex]m=\frac{-5-5}{-1-\left(-8\right)}[/tex]
[tex]m=-\frac{10}{7}[/tex]
We know the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept
[tex]5\:=\:\frac{-10}{7}\left(-8\right)+b[/tex]
[tex]\frac{80}{7}+b=5[/tex]
[tex]b=-\frac{45}{7}[/tex]
now substituting m = -10/7 and b = -45/7 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)[/tex]
[tex]y\:=\:\frac{-10}{7}x-\frac{45}{7}[/tex]
Thus, the equation of the line in slope-intercept form is:
[tex]y\:=\:\frac{-10}{7}x-\frac{45}{7}[/tex]Find the missing angle in the triangle below
Answer:
120
Step-by-step explanation:
Exterior angle theorem
50 + 70 = 120
Answer:
120
Step-by-step explanation:
the insides of a triangle add up to 180 degrees. You're given 70 and 50 degrees which add to 120 and that means the other angle is 60 degrees. Since you're trying to find an outside angle, you need to do subtract the 60 degrees we just found from 180 (because its a supplementary angle). 180-60 is 120 and thats the answer
What is the equation for the
following table:
X Y
1 -5
2 -7
3 -9
4 -11
what is the estimate of 418 x 64
Answer:
26752
Step-by-step explanation:
There's no estimate. I believe
please write in y=mx+b format
Answer:
y=2x-1
Step-by-step explanation:
Please help its math...I will give brainliest!
For a holiday sale, all items at Marty’s Electronics are discounted by 25%. Paula bought a laptop that had an original list price of $1,700. If 8% tax was applied to the sale after the discount was taken off, how much did Paula pay for her new computer? SHOW YOUR WORK! Thank you
Answer:
$1,377
Step-by-step explanation:
the way that I did it-
100-25=75
1700x0.75=1275
8%=0.08, just add a 1 to the sales tax whenever you are calculating that.
1275x1.08=1377
therefore it is $1,377
brainliest would be appreciated :)
Plz help 50 points
Help on number 2 and 3 please. What if you can’t read number 3’s answer it is;
A.8
B. 1/8
C.2/9
D. 9/2
Plz help on number 2 and 3
Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!
Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!!
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation: