Using geometry:
Since M is the origin, point B is the mirror image of point A with respect to the origin. From the origin to point A, you go 5 units left and 4 units up. For the mirror image, start at the origin, and go 5 units right and 4 units down.
Answer: B(5, -4)
Using the midpoint formula:
[tex] x_m = \dfrac{x_1 + x_2}{2}~~~and~~~y_m = \dfrac{y_1 + y_2}{2} [/tex]
[tex] 0 = \dfrac{-5 + x_2}{2}~~~and~~~0 = \dfrac{4 + x_2}{2} [/tex]
[tex] 0 = -5 + x_2~~~and~~~0 = 4 + x_2 [/tex]
[tex] -x_2 = -5~~~and~~~-4 = x_2 [/tex]
[tex] x_2 = 5~~~and~~~x_2 = -4 [/tex]
Answer: B(5, -4)
As you can see, both methods give you the same answer.
What values of x must be excluded from the domain of
f(x) = x + 7
_____
x^2 - 5x -6
A ) x =1 and x =-6
B ) x = -1 and x=6
C ) x= -7
D ) x = 2 and x = 3
E ) x = -6 and x = -7
Answer:
B) x = -1 and x = 6
Step-by-step explanation:
The values that must be excluded from the domain are the values for which f(x) is undefined. Those values are the ones that make the denominator be zero.
We can find the zeros of the denominator by factoring.
... x² -5x -6 = (x +1)(x -6)
The product is zero when either factor is zero, so when x=-1 or x=6.
Answer:
c
Step-by-step explanation:
-2 & 6
I really need help with this!
Since all triangles in these questions are similar, we use that the ratios of corresponding sides are equal
(1)
[tex]\frac{y}{6}[/tex] = [tex]\frac{9}{x}[/tex] = [tex]\frac{5}{4}[/tex]
solving [tex]\frac{9}{x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross-multiply )
5x = 36 ( divide both sides by 5 )
x = [tex]\frac{36}{5}[/tex]
solving [tex]\frac{y}{6}[/tex] = [tex]\frac{5}{4}[/tex]
4y = 30 ⇒ y = [tex]\frac{15}{2}[/tex]
(2)
let h be the height of the flagpole, then
[tex]\frac{h}{5.5}[/tex] = [tex]\frac{50}{4}[/tex]
4h = 275 ⇒ h = 68.75 feet
(3)
[tex]\frac{x}{6}[/tex] = [tex]\frac{93.5}{12.75}[/tex]
12.75x = 561 ⇒ x = 44 feet
solve 4-6n=8(n+7) distributive propertiy
The distributive property tells you the product is found by multiplying each term inside parentheses by the factor outside.
... 4 -6n = 8n +8·7
... 4 = 14n +56 . . . . . . . add 6n to both sides
... -52 = 14n . . . . . . . . . subtract 56 from both sides
... -52/14 = -26/7 = n . . . divide by 14, reduce the fraction
The solution is ...
... n = -26/7 = -3 5/7
Help Dana find the sum 346 421 152
For numbers 13a-13d, select yes or no to tell Dana when to regroup
Dana wants to find the sum
3 4 6
4 2 1
+1 5 2
________
We will not regroup this ones place because the sum of the digits in the ones place is not up to. It's just 6+1+2 = 9.
Therefore, 13a) No.
There is no regrouped tens to add, so we would not able to regroup the ones place.
Therefore, 13b) No.
We regroup the tens place because the sum of the digits in the ones place is upto to 10.
And 13c) Yes.
We add the regrouped hundred as we regrouped the ones place.
Therefore,
13 D) Yes.
Q# ..7 match the equation with its graph -4x - 2y =8
If you divide by 8, you can put the equation into intercept form. That form is ...
... x/a + y/b = 1
where a and b are the x- and y-intercepts, respectively.
Here, your equation would be
... x/(-2) + y/(-4) = 0
The graph with those intercepts is not shown with your problem statement here. See the attachment for the graph.
Three rectangular tables are placed end to end to form one long table 7.8 meters long. The lengths of two of the tables are 3.5 meters and 1.6 meters. What is the length of the third small table? What type of problem is this, and why? a part-whole problem, because 3.5 is a part of 1.6 a part-whole problem, because the length of the third table is part of the total length of the long table a comparison problem, because 7.8 is being compared to 3.5 a comparison problem, because the question asks how much longer one smaller table is than the other
It's a 3rd grade problem in addition and subtraction, or number lines. As a college-level problem, it might be described as ...
... a part-whole problem, because the length of the third table is part of the total length of the long table
What is 2.394 * 7.489
Answer: The answer is 17.87. However the answer including all the numbers you put in your question is 17.92. I used only the first 2 numbers after the decimal point.
Step-by-step explanation: Consider how many numbers are behind the decimal points as they will help you know where to put the decimal point in your answer.
Hope this helps!
The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of pages in the tax code and the Bible is 21,472. how many pages are in the bible?
Answer: The number of pages in the U.S. tax code x=20000 and the number of pages in the King James Bible y = 1472
Step-by-step explanation:
Let the number of pages in the U.S. tax code be x and the number of pages in the King James Bible be y.
According to the given problem , we have the following system
x - y = 18528 ..............(1)
x + y = 21472 ..............(2)
Adding (1) and (2) , we get
2x = 18528 +21472 = 40000
⇒ 2x =40000
⇒ x =20000
Putting value of x = 20000 in (2) ,we get
20000 + y =21472
⇒ y = 1472
Ans the number of pages in the U.S. tax code x=20000 and the number of pages in the King James Bible y = 1472
Final answer:
By setting up an equation and solving for B, which represents the number of pages in the Bible, it is determined that the King James Bible has 1,472 pages.
Explanation:
To determine how many pages are in the King James Bible, we need to set up an equation based on the information given in the problem. We know that the number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528 and the combined total of pages in both the tax code and the Bible is 21,472.
Let's let B represent the number of pages in the Bible. Then the number of pages in the U.S. tax code would be B + 18,528. The total number of pages in both is given to be 21,472, so we can write the following equation:
B + (B + 18,528) = 21,472
Simplifying the equation, we get:
2B + 18,528 = 21,472
Subtract 18,528 from both sides to get the number of pages in the Bible:
2B = 2,944
Divide by 2 to solve for B:
B = 1,472
Therefore, the King James Bible has 1,472 pages.
Artie has a book of short stories. the number of each time of short story is shown below. •6 science fiction stories •4 adventure stories • 3 historical stories • 2 sports stories He selects one short story at random. What is the probability that the story Artie selects is either a science fiction story or an adventure story?
Since, there are 6 science fiction stories, 4 adventure stories, 3 historical stories and 2 sport stories.
So, total number of stories = 6+4+3+2 = 15 stories
Probability that Artie selects a science fiction story = [tex]\frac{6}{15}[/tex]
Probability that Artie selects an adventure story = [tex]\frac{4}{15}[/tex]
Probability that story selected is either a science fiction or adventure fiction = P(Science) + P(Adventure)
= [tex]\frac{6}{15} + \frac{4}{15}[/tex]
= [tex]\frac{10}{15}[/tex]
= 0.66
=0.67
Therefore, the probability that the story Artie selects is either a science fiction story or an adventure story is 0.67.
Answer:Probability of selecting either A or B P(A∩B)=2/3.
Step-by-step explanation:
Total number of story books=6+4+3+2=15
Let A be the event of selecting science fiction story
then its probability P(A)=number of science stories/total stories=6/15
Now let B be the event of selecting adventure story P(B)=number of adventure stories/total stories
=4/15
thus Probability of selecting either A or B P(A∩B)=P(A)+P(B)=6/15+4/15=10/15=2/3.
11 and 1/6 as a decimal
Assuming that you meant "11 plus 1/6" written as the equivalent decimal expression, then it'd be 11.16666.... Here the 6 repeats indefinitely.
Plz help with geometry question is below
Answer:
a
Step-by-step explanation:
Q # ..19 anybody help me?
The equation of the line with slope m and passing through the point [tex](x_0,y_0)[/tex] is
[tex]y-y_0=m(x-x_0).[/tex]
Since m=6 and the coordinates of the point are (8,3), then the equation is
[tex]y-3=6(x-8).[/tex]
Answer: correct choice is B.
I need help with these
1. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
2. c= 90-40= 50 (vertically opposite angles)
b=a=360-90-90=180/2=90 (angles at a point)
3. a= 180-52-51= 77 (angles on a straight line)
b=52 (angles at a point)
d=51 (angles at a point)
c=77 (angles at a point)
4. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
e=65
d=f= 360-65-65=230/2=115
h=55
i=g=360-55-55=250/2=125
5. b=163
a=90
e=70
d=360-70-70=220/2=110
c=360-163-163=34/2=17
Hope this helps!
Is this correct? Please answer fast
to answer this question, you would need the Least Common Denominator.
6, 12, 18, 24, 30
10, 20, 30
So the LCD, Least Common Denominator, is 30.
How many packs of hot dogs did he buy?
5 packs.
How many packs of buns did he buy?
3 packs.
How many hot dogs did he buy?
30 hot dogs.
Hoped this helped,
-Anime
Ok... so I failed my math test because I wasnt at school for a week and didn't know anything....
Here is the question: 5^-8 x 5^4
The look-out point of a lighthouse is 50 feet above sea level. A woman observes a boat in the water from the look-out point. The angle of depression to the boat in the water is 20°.
What is the distance from the base of the light house to the boat in the water?
Answer:
137.4 feet
Step-by-step explanation:
Consider the attached diagram. The given angle of depression from the lighthouse to the boat is the same as the angle of elevation from the boat to the lighthouse. The trig relationship for tangent tells you ...
... tan(20°) = opposite/adjacent = AL/AB = 50'/AB
Solving for AB, we get
... AB = 50'/tan(20°) ≈ 50'/0.36397
... AB ≈ 137.4'
Answer:
137.373871
Rounded to the 10th place
137.4
Rounded to the whole number
137
Step-by-step explanation:
There are a few methods for solving this type of problem. Please view the images I have provided. I gave two methods for solving this problem.
Each student needs 35 craft sricks for an art project. The art teacher has 7,140 craft sticks. How many students can get craft stick from teacher?
What number can i use to estimate the quotient?
Explain how to check the answer to a division problem.
Solution.
Answer:
204 students
just do 7140/35= 204
Step-by-step explanation:
Number of students who can get craft sticks are 204 .
To determine how many students can get craft sticks from the teacher, we need to divide the total number of craft sticks by the number of craft sticks each student needs.
Step-by-Step Solution
The total number of craft sticks is 7,140.
Each student needs 35 craft sticks.
To find out how many students can get the craft sticks, divide the total number of craft sticks by the number of craft sticks each student needs:
7,140 ÷ 35 = 204
Therefore, 204 students can get craft sticks from the teacher.
Estimation and Checking
To estimate the quotient, you can round the numbers to make the division easier. For example, round 7,140 to 7,000 and 35 to 30:
7,000 ÷ 30 ≈ 233.33
This estimation tells us that our division answer is reasonable, falling close to this rounded solution.
To check the division, multiply the quotient by the divisor and see if you get the original dividend:
204 × 35 = 7,140
Since the result matches the original number of craft sticks, the answer is verified as correct.
(2y+1.6)/0.8=30/2.5
Please Help!
Solve for Y
y = 4
first note that the right side simplifies to 12, equation can be written
[tex]\frac{2y+1.6}{0.8}[/tex] = 12 ( multiply both sides by 0.8 )
2y + 1.6 = 9.6 ( subtract 1.6 from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Hey there!!
We have:
... (2y+1.6)/0.8 = 30/2.5
... (2y+1.6)/0.8 = 12
Multiplying 0.8 on both sides.
... (2y+1.6) = 12×0.8
... 2y+1.6 = 9.6
Subtracting 1.6 on both sides:
... 2y = 9.6-1.6
... 2y = 8
Dividing by 2 on both sides:
... y = 8/2
... y = 4
Hence, the required answer is 4.
Hope my answer helps
find the distance between 2 3/5 and -1 on a number line
Answer:
The distance between these two is 3 3/5
Step-by-step explanation:
In order to find the distance between two points, we subtract one from the other. Then if the result is negative, we take the absolute value.
2 3/5 - -1
2 3/5 + 1
3 3/5
Identify the number rational and irrational 291.7
Answer:
Rational
Step-by-step explanation:
Any number you can write out completely, or that has a repeating decimal fraction, is a rational number. 291.7 is the entire number, so is rational.
Q ##10 please I need help with this
Here we are given the inequality:
[tex]y\geq4x-5[/tex]
Let us check for each ordered pair that satisfies the given inequality.
1. (3,0)
LHS: y
here y is 0.
So LHS is 0.
RHS: 4x-5
plugging x as 3,
4(3)-5 = 7
0≥7
False
So (3,0) does not satisfy the inequality.
2. (1,1)
LHS: y
here y is 1.
So LHS is 1.
RHS: 4x-5
plugging x as 1,
4(1)-5 = -1
1≥-1
True
So (1,1) satisfy the inequality.
1. (3,4)
LHS: y
here y is 4.
So LHS is 4.
RHS: 4x-5
plugging x as 3,
4(3)-5 = 7
4≥7
False
So (3,4) does not satisfy the inequality.
1. (2,1)
LHS: y
here y is 1.
So LHS is 1.
RHS: 4x-5
plugging x as 2,
4(2)-5 = 3
2≥3
False
So (2,1) does not satisfy the inequality.
Answer: (1,1) is the solution of the given inequality.
The football team has a total of 20 jerseys. There are 4 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
20%
Step-by-step explanation:
i did it and got it right
the picture is my evidence.
what is an equation of the line with slope 2 that goes through point (3/2, 6)
a.) y=3x+3
b.)y=2x+3
c.)y=2x-3
d.)y=-3x+2
The answers are in slope-intercept form, so you can see that the slope (coefficient of x) is only correct for choices b and c.
When you substitute x=3/2 into those equations, you find that b gives y=6 (correct) and c gives y=0 (incorrect).
The appropriate choice is ...
... b.) y = 2x+3
Since it's Wednesday, Buy for Less gives a 5% discount for purchases. The items in Rhonda's cart total $53.75. She needs to know the cost of the items with the discount. So, she multiplies 5% times $53.75 and subtracts the amount from $53.75. Which expression would give Rhonda the same result in one step? A) .90(53.75) B) .95(53.75) C) 1.05(53.75) D) 53.75 - .05(53.75)
she needs to count how much 90% is so
85.00 times 90%
or 8500 times 0.9
Answer:
B) .95(53.75)
Step-by-step explanation:
5% is equal to 0.05. So the following expressions are equivalent.
5% × 53.75 = 0.05 × 53.75
To find the final price, she first takes the 5% and then subtracts the amount from 53.75. That is,
53.75 - 5% × 53.75 = 53.75 - 0.05 × 53.75
We can take out the common factor 53.75
53.75 . (1 - 0.05) = 53.75 . 0.95 = 0.95 . 53.75 = 0.95 (53.75)
The constraints of a problem are listed below. What are the vertices of the feasible region?
Answer:
The vertices are (0,0), (3,0), (1.5,2) and (0,2.5)
Step-by-step explanation:
We are given the constraints of the problem as,
[tex]4x+3y\leq 12[/tex]
[tex]2x+6y\leq 15[/tex]
[tex]x\geq 0[/tex]
[tex]y\geq 0[/tex]
Using 'Zero Test', which states 'If after substituting (0,0) in the inequalities the result is true, the solution region is towards the origin and if the result is false, the solution region is away from the origin'
So, after plotting the graph, we see that,
The end-points of the feasible region are given by,
(0,0), (3,0), (1.5,2) and (0,2.5)
Answer:
A (0, 0), (0, 2.5), (1.5, 2), (3, 0)
Step-by-step explanation:
edg 2022
Q#1 please help t o resolve
Answer: option. y=-1.33x; 2.67
Solution:
If y varies directly with x, the relation between y and x is:
y=kx
where k is a constant of proporcionality.
We know y=8 when x=-6. Replacing these values in the equation above:
8=k(-6)
8=-6k
Solving for k: Dividing both sides of the equation by -6:
8/(-6)=-6k/(-6)
-1.33=k
k=-1.33
Then the relation between y and x is:
y=kx→y=-1.33x
What is the value of y when x=-2?
Replacing x by -2 in the formula:
y=-1.33x→y=-1.33(-2)→y=2.66
Jerrica is selling calendars to raise money for a community group she belongs to. A basic calendar sells for $10 and a deluxe calendar sells for $15. The number of deluxe calendars Jerrica sells must be greater than or equal to 3 times the number of basic calendars she sells. She has at most 72 calendars to sell. The number of basic calendars sold is represented by x and the number of deluxe calendars sold is represented by y. What is the maximum revenue she can make?
A. $810
B. $990
C. $1080
D. $1296
The correct answer is option B.
Let the basic calendars be = x
Let the deluxe calendars be = y
Total calendars are = 72 , so equation becomes:
[tex]x+y=72[/tex] .............(1)
Cost of 1 basic calendar = $10
So, cost of all basic calendars will be = 10x
Cost if 1 deluxe calendar = $15
So, cost of all deluxe calendars = 15y
As given, the number of deluxe calendars must be greater than or equal to 3 times the number of basic calendars, the equation becomes
y=3x ...............(2)
Putting the value of y from (2) in (1)
[tex]x+y=72[/tex]
[tex]x+3x=72[/tex]
[tex]4x=72[/tex]
x=18
As, y=3x
y=[tex]3\times18=54[/tex]
So we have 18 basic calendars and 54 deluxe calendars.
Cost of 18 basic calendars will be= [tex]18\times10=180[/tex]
Cost of 54 deluxe calendars will be = [tex]54\times15=810[/tex]
So total amount is = $990
Hence, the maximum revenue is $990.
Answer:
The CORRECT answer is $1080
Step-by-step explanation:
Your answer would be choice C
A hybrid car can get 54 mpg when traveling at an average speed of 30 mph. You travel in this car at that speed for 45 miles to your grandparents’ house. Gas at your nearest station cost $3.23. Use this information to complete the statements. It will take________ Hours to get to your grandparents’ house. Your car will use______gallons of gas on the trip. You will spend________on gas for the trip.
A) The time to travel 45 miles at a speed of 30 mph can be found from ...
... time = distance / speed
... time = (45 mi)/(30 mi/h) = 3/2 h = 1 hr 30 min
B) The gas consumption can be found from ...
... (45 mi)/(54 mi/gal) = 5/6 gal
C) The cost of gas can be found from ...
... ($3.23/gal)×(5/6 gal) ≈ $2.69
For a 45 miles trip at 30 mph, it would take about 1.5 hours in a hybrid car that gets 54 mpg. It would use approximately 0.833 gallons of gas, costing about $2.69.
Explanation:To solve this, we'll need to employ some basic math concepts. Starting off with the time it will take to get to your grandparents' house, you'll use the formula distance = speed x time. Given the speed is 30 mph and you're traveling 45 miles, that will be 45 miles / 30 mph = 1.5 hours.
Next, for the gallons of gas used on the trip, we'll use the car's mileage i.e., 54 miles per gallon. Hence, for a 45-mile trip, we have 45 miles / 54 mpg = 0.833 gallons of gas.
Finally, for the total cost of the trip, we'll multiply the amount of gas needed by the price per gallon. So, it will be 0.833 gallons x $3.23/gallon = $2.69. Thus the round trip will cost approximately $2.69 in gas.
Learn more about Car Trip Calculations here:https://brainly.com/question/34226337
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what is the product of all integers between √61 and √101
√61 ≈ 7.8
√101 ≈ 10.05
The integers between these numbers are 8, 9, 10. The product of these is 720.
Nayan Patel purchases a compact vehicle with an MSRP of $17,980.00, including the destination charge and title fee. He selects a 4-way power front passenger seat, which costs 8 times the amount of remote keyless entry. The total cost of the compact vehicle, including a 7.2% sales tax, is $20,000.00. Find the cost of the remote keyless entry.
A $676.71
B $150.38
C $601.53
D $75.19
Answer:
$75.19
Step-by-step explanation:
Let 'x' be the cost of remote keyless entry.
And [tex]8x[/tex] be the cost of 4-way power front passenger seat.
Total cost = destination charge + title fee + taxes
So we have the equation:
[tex]20,000 = (17,980+x+8x)+0.072(17,980+x+8x)[/tex]
Now solving for 'x', we get:
[tex]20,000 = (17,980+9x)+0.072(17,980+9x)[/tex]
[tex]20,000=17,980+9x+1294.56+0.648x[/tex]
[tex]20,000=19274.56+9.648x[/tex]
[tex]725.44=9.648x[/tex]
[tex]x=\frac{725.44}{9.648} =75.19[/tex]
Therefore, the cost of remote keyless entry is $75.19.
Answer:
$601.53
Step-by-step explanation:
just do what the person did but all they forgot to do was to multiple for the "8 times" so take 75.19*8 to get 601.53.