Answer:
[tex] - 2n + 1 = 3n + 6 \\ - 2n - 3n = - 1 + 6 \\ - 5n = 5 \\ n = \frac{5}{ - 5} \\ n = - 1[/tex]
Answer:
n = -1
Step-by-step explanation:
Solve for n:
1 - 2 n = 3 (n + 2)
Expand out terms of the right-hand side:
1 - 2 n = 3 n + 6
Subtract 3 n from both sides:
1 + (-2 n - 3 n) = (3 n - 3 n) + 6
-2 n - 3 n = -5 n:
-5 n + 1 = (3 n - 3 n) + 6
3 n - 3 n = 0:
1 - 5 n = 6
Subtract 1 from both sides:
(1 - 1) - 5 n = 6 - 1
1 - 1 = 0:
-5 n = 6 - 1
6 - 1 = 5:
-5 n = 5
Divide both sides of -5 n = 5 by -5:
(-5 n)/(-5) = 5/(-5)
(-5)/(-5) = 1:
n = 5/(-5)
The gcd of 5 and -5 is 5, so 5/(-5) = (5×1)/(5 (-1)) = 5/5×1/(-1) = 1/(-1):
n = 1/(-1)
1/(-1) = -1:
Answer: n = -1
The sum of two numbers is negative twenty-three. One number is seven less than the other. Find the numbers.
Answer:
first number −8 second number −15
Step-by-step explanation:
n+n−7=−23
Combine like terms.
2n−7=−23
Add 7 to each side and simplify.
2n=−16
Divide each side by two and simplify.
n=−8
Now solve for each number.
n−8−=−8 1st number
n −7 2nd number
-8−7
-15
Step 6. Check. Is −15 seven less than −8?
−8−7−=-15
−15=−15✓
Is their sum −23?
−8+(−15)=−23
−23=−23✓
Step 7. Answer the question.
The numbers are −8 and −15.
The numbers are −8 and −15.
It is given that a number is 7 less than another number and the sum of both numbers is -23.
We have to find the value of both of the numbers.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
One number is seven less than the other.
Let's assume 1st number is x.
The 2nd number will be x - 7.
Given ;
Sum of both numbers = -23
i.e.,
x + (x −7) = −23
2x−7 = −23
2x = -23 + 7
2x = −16
x = −8
So ;
The numbers will be ;
1st number = −8
and
2nd number = x − 7
= - 8 - 7
= -15
Thus , the numbers are −8 and −15.
To learn more about algebra click here ;
brainly.com/question/26479183
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The image of the point (-1,-8) under a translation is (0, -11). Find the coordinates of the image of the point (-4,-1) under the same translation.
Answer:
(-3,-4)
Step-by-step explanation:
● (-1,-8) => (0,-11)
Notice that to move from -1 to 0 in the x-axis we should go one unit to the right wich means adding 1.
● -1 + 1 = 0
Notice that to move from -8 to -11 in the y-axis we should go 3 units down wich means substracting 3.
● -8-3 = -11
Let's do the same for the second point.
● (-4,-1) => ?
Add 1 to -4
● -4+1 = -3
We moved 1 unit to the right by adding 1
Substract 3 from -1
● -1-3 = -4
We moved down 3 units by substracting 3
So the image of (-4,-1) is (-3,-4)
Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)
Answer:
Equation of the circle (x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
Step-by-step explanation:
Step(i):-
Given endpoints of diameter P(−2, 1) and Q(8, 9)
Centre of circle = midpoint of diameter
Centre = [tex](\frac{-2+8}{2} ,\frac{1+9}{2} )[/tex]
Centre (h, k) = (3 , 5)
Step(ii):-
The distance of two end points
PQ = [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]PQ= \sqrt{(8+2 )^{2} +(8 )^{2} }[/tex]
PQ = √164 = 12.8
Diameter d = 2r
radius r = d/2
Radius r = 6.4
Final answer:-
Equation of the circle
(x-h)²+(y-k)² = r²
(x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
x² -6x +y² -10y = 40.96-34
x² -6x +y² -10y -7= 0
x – 2y = 15
2x + 3y = 2
Answer:
you combine like terms and that will get you your answer
Step-by-step explanation:
2x+x
2y+3y
15+2
to get your answer
Definition: One of your responsibilities, obligations, or debts is called
Answer:
My answer is.
Paying of taxes.
Serving the nation with all our might and strength
Sampling every 100th invoice would be an example of:_______a. Randomization.b. Proxemics.c. Stratification.d. JRP.e. Observation.
Answer: C. Stratification
Step-by-step explanation: There are diverse samping techniques employed for statistical purposes depending on the tipe and nature of data available or other factors. When a data population is sampled in sects such that the entire data is divided into a equals groups at a fixed intervals based on a certain criteria, it is called stratified sampling. Here, data is divided into strata, with each stratum containing a fixed amount of samples with each partition taking place at regular interval. In the scenario stratification process is employed by sampling at a fixed and regular interval, however, the random nature of the data is not violated.
Assume the rate of inflation is 8% per year for the next 2 years. What will be the cost of goods 2 years from now, adjusted for inflation, if the goods cost $280.00 today?
==============================================
Work Shown:
F = future value
P = present value = 280
r = rate of inflation in decimal form = 0.08
t = elapsed time in years = 2
---------
F = P*(1+r)^t
F = 280*(1+0.08)^2
F = 326.592
F = 326.59
a computer printer can print 10 pages per minute.
Answer:
what's the question though ?
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a manager who wishes to compare the effectiveness of two methods for training new salespeople. The authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided into two equal experimental groups—one receives type A and the other type B training. The salespeople are then assigned and managed without regard to the training they have received. At the year’s end, the manager reviews the performances of salespeople in these groups and finds the following results:
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a manager who wishes to compare the effectiveness of two methods for training new salespeople. The authors describe ...
PLEASE HELP ME :(( i tried 12 as the answer and it’s wrong
I think its 1/6
I'm not sure tho
u take the bottom and subtract it by the top then multiply
Answer:
I think its 1/6
You will end up taking the bottom number and subtract it by the top number then multiply to get your final
Step-by-step explanation:
Solve x^4-8x^2-9=0
Pls help
Answer:
Step-by-step explanation: x can be 3, -3, i, or -i.
Explanation:
If you can't find the factoring by looking at this, simplify the equation.
let
x
2
=
y
to make things easier to see
Now we have
y
2
−
8
y
−
9
=
0
See it now?
We can factor into
(
y
−
9
)
(
y
+
1
)
Now substitute back in
x
2
for
y
.
(
x
2
−
9
)
(
x
2
+
1
)
Since
(
x
2
−
9
)
is a difference of two squares,
(
x
−
3
)
(
x
+
3
)
Now we have
(
x
−
3
)
(
x
+
3
)
(
x
2
+
1
)
x can be 3, -3 for the first two parts
x
2
+
1
=
0
can become
x
2
=
−
1
Taking the positive and negative root means
x
=
±
√
−
1
Thus
x
=
±
i
in addition to 3 and -3.
What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x. 9.7 m 10.4 m 37.3 m 38.6 m
Answer:
AB = 38.6metres
Step-by-step explanation:
Given the right angled triangle ABC with hypotenuse AB and ∠CAB to be 75°, the opposite side of the triangle will be the side facing the angle ∠CAB directly and this is side BC. The adjacent side of the triangle will be side CA.
To get the length of the hypotenuse AB, we will use the trigonometry identity SOH, CAH, TOA.
According to CAH;
Cos∠CAB = adjacent/hypotenuse = CA/AB
Substituting CA = 10 metres and ∠CAB = 75° into the equation;
Cos75° = 10/AB
AB = 10/cos75°
AB = 10/0.2588
AB = 38.6metres
Hence the length of the hypotenuse AB is 38.6metres.
Answer:
38.6 m
Step-by-step explanation:
A baseball player haf 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?
Answer:
We can solve this using ratio and proportion. Let x be the number of hits the baseball player will have in the next 28 games.
4 : 8 = x : 28
(4)(28) = (x)(8)
112 = 8x
112/8 = 8x/8
14 = x
Step-by-step explanation:
Answer:
14 hits
Step-by-step explanation:
We can use a ratio to solve
4hits x hits
------------ = -------------
8 games 28 games
Using cross products
4 * 28 = 8x
Divide each side by 8
112/8 = x
14 = x
14 hits
This is rlly easy but Im to lazy to do it- I mark brainliest.
Answers:
A. 6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78 seats in total
B. 6 Large taxis = $498 + 9 Small taxis = $450 498+450= $948
C. 5 Large taxis and 10 Small taxis
Step-by-step explanation:
A. 6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78 seats in total
If I did 8 small taxis the total number of seats would be 74, so I did one small taxi more to make it fair. There would be seats for everyone but 3 seats extra
B. 6 Large taxis = $498 + 9 Small taxis = $450 498+450=948
C. 5 Large taxis and 10 Small taxis
While the more small taxis there are, the more cheaper it is for Max but the less seats there would be for 75 people, So I did 1 more small taxi and 1 less large taxi.
The total number of seats now is 75 seats which is perfect amount for 75 people
So the total cheaper cost would $915 while still maintaining a fair amount of seats which is 75
The mass of Parcel A was 0.7kg. Parcel B was heavier than Parcel A. Parcel C had the same mass as Parcel B. The total mass of the three parcels was 2.5kg. What was the mass of parcel C?
Question 5 A ladder leans against the side of a house. The angle of elevation of the ladder is 65 degrees when the bottom of the ladder is 16 ft. from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answer: 37.9 ft
Step-by-step explanation:
concept to know: trigonometric relation (sine, cosine, tangent)
In this case, we use cosine (adjacent/hypotenuse)
cos (65)=16/x
16/ cos(65)=x
x=37.9 ft (rounded)
A survey was taken of students at Utah High school to see how many students will attend the soccer game tonight. The principal surveyed 72 students, and 50 said they were attending the game. If the School has 792 students, how many students might the principal expect to attend the soccer game tonight?
Answer:
750
Step-by-step explanation:
A caterer estimates that 2 gallons of fruit punch will serve five people.
How much additional punch is necessary to serve 75 people?
Need all the explanations
Answer:
the answer is 28
Step-by-step explanation:
This is simple
if 5 people need 2 gallons we can use that to figure out how many gallons 75 people need.
75 divided by 5 is 15. so if 5 fits into 75 15 times that means that 75 people need 15 times 2 gallons or 30 gallons of fruit punch.
But the problem ask how much "additional" fruit punch so we subtract 2 from 30 to get 28 additional gallons of fruit punch
In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due to line spoilage and 3% involve both problems. (a) Are the two types of spoilages independent or not? Justify your answer. (b) What is the probability that: i- line spoilage given that there is transformer spoilage ii- Transformer spoilage but not line spoilage. iii- Transformer spoilage given that there is no line spoilage iv- Neither transformer spoilage nor there is no line spoilage v- Either transformer spoilage or there is no line spoilage
Answer:
The events are independent.Their conditional probability is equal to the probability of an event .
2) The probability that there is line spoilage given that there is transformer spoilage=0.08
- Transformer spoilage but not line spoilage=0.046
Transformer spoilage given that there is no line spoilage = 0.05
- Neither transformer spoilage nor there is no line spoilage =0.03
v- Either transformer spoilage or there is no line spoilage = 0.97
Step-by-step explanation:
Let A be an event that the spoilage is due to transformers so
P(A) = 5% = 5/100 or 0.05
Let B be an event that the spoilage is due to line so
P(B) = 8% = 8/100 or 0.08
Let C be an event that the spoilage is due to both then
P(C) = 3% = 3/100 or 0.03
1) Independence
For events to be independent their joint probability is given by
P(A) = P(A∩B)/ P (B) By Law of independence
P(A∩B)= P(A/B)P(B)
P(A∩B) = 5/100 *8/100=40/10000= 4/1000
P(A) = 5/100
P(A/B) =P(A∩B)/ P (B)
= 4/1000/8/100= 1/20
P(A)= P(A/B)
5/100 is equal to 1/20
The events are independent.Their conditional probability is equal to the probability of an event
2) The probability that there is line spoilage given that there is transformer spoilage
P(B/A)= P(A∩B)/ P (A) = 4/1000/5/100= 4/50= 2/25=0.08
Which is again equal to probability of event B.
- Transformer spoilage but not line spoilage
P(A∩1-B)= 5/100*92/100= 460/10000=0.046
Transformer spoilage given that there is no line spoilage
P(A/1-B) =P(A∩1-B)/ P (1-B)
= 5/100*92/100/92/100= 5/100 = 0.05
- Neither transformer spoilage nor there is no line spoilage
1-P(A) +P(1-B)= 1-(5/100+92/100)= 3/100= 0.03
v- Either transformer spoilage or there is no line spoilage
P(A)+P(1-B)= 5/100+92/100= 97/100= 0.97
I’m having trouble doing this
Answer:
0 Is Integer ,
rational and a
whole number.
Hope it helps.
Decrypt the word DKA if it was encrypted using an alphabetic Caesar shift cipher that starts with shift 5 (mapping A to F), and shifts one additional space after each character is encrypted. Use only capital letters in your answer.
Answer:
YET
Step-by-step explanation:
TO DECRYPT DKA USING THE CAESAR SHIFT CIPHER STARTING WITH 5 SHIFTS.
TO DO THIS DECRYPTION, WE'RE GOING TO LOOP THE ALPHABETS.
D = LOOPING THIS LETTER 5 TIMES, WE HAVE C - B - A - Z - Y.
SO, D IS DECRYPTED AS Y
GOING FURTHER, THE ENCRYPTION SHIFTS BY AN ADDITIONAL SPACE. THIS MEANS, IF THE FIRST "Y" WAS ENCRYPTED IN 5 SPACES TO GET D, AND AN ADDITIONAL SPACE WAS ADDED TO THE NEXT ALPHABET, IT BECOMES 6.
K IS THEN DECRYPTED AS
K = J - I - H - G - F - E
K IS DECRPYTED AS E
GOING FURTHER, THE NEXT WAS ENCRYPTED WITH AN ADDITIONAL SPACE EVEN MORE, SO, A IS DECRPYTED AS
A = Z - Y - X - W - V - U - T.
THUS, DKA IS DECRYPTED AS YET
7. Classify Z1 and 22 using all relationships that apply. ******Could have more than 1 answer****** Adjacent Vertical Complementary Suplementary Linear Pair
Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
Angle 1 and angle 2 are the angles made between two lines intersecting each other at a point and a third line is perpendicular to one of them.
Therefore, both the angles are equal in measure.
Rest all the options are not applicable to show the relation between these angles.
Option (2) will be the correct option.
please please please
Answer:
don't give up try and you will find the answers
simplify the equation 5x + 4 = -16
Answer:
-4
Step-by-step explanation:
5x+4=-16: minus 4 from both sides
5x=-20: Divide by 5 to solve for x
x=-4
Suppose a regular n-gon is inscribed in a circle of radius r. Diagrams are shown for n=6, n=8, and n = 12. n = 6 n=8 n = 12 a a VT a Imagine how the relationship between the n-gon and the circle changes as n increases. 1. Describe the relationship between the area of the n-gon and the area of the circle as n increases.
Answer:If an N-gon (polygon with N sides) has perimeter P, then each of the
N sides has length P/N. If we connect two adjacent vertices to the
center, the angle between these two lines is 360/N degrees, or 2*pi/N
radians. (Do you understand radian measure well enough to follow me
this far?)
The two lines I just drew, plus the side of the polygon between them,
form an isosceles triangle. Adding the altitude of the isosceles
triangle makes two right triangles, and we can use one of them to
derive the equation
sin(theta/2) = s/(2R)
where theta is the apex angle (which I said is 2*pi/N radians), R is
the length of the lines to the center (the radius of the circumscribed
circle), and s is the length of the side (which I said is P/N).
Putting those values into the equation, we have
sin(pi/N) = P/(2NR)
so that
P = 2NR sin(pi/N)
gives the perimeter of the N-gon with circumradius R.
Can we see a connection between this formula and the perimeter of a
circle? The perimeter of the circumcircle is 2*pi*R. As we increase
N, the perimeter of the polygon should get closer and closer to this
value. Comparing the two, we see
2NR*sin(pi/N) approaches 2*pi*R
N*sin(pi/N) approaches pi
You can check this out with a calculator, using big numbers for N such
as your teacher's N=1000. If you calculate the sine of an angle in
degrees rather than radians, the formula will look like
N*sin(180/N) --> pi
Step-by-step explanation:
Two gardens are being fenced in. Both gardens will require the same amount of fencing (both gardens have the same perimeter in meters). One garden is in the shape of a square and the other is in the shape of an equilateral triangle. Each side of the triangle is 1 meters longer than each side of the square.
Answer:
The side length of the square is 3 meters.
The side length of the triangle is 4 meters.
Step-by-step explanation:
This is basically a systems of equations word problem.
To solve this, we have to create two different equations. Let's assume [tex]s[/tex] is the side length of the square and [tex]t[/tex] is the side length of the triangle.
We can make the equation [tex]4s=3t[/tex], since the perimeters are the same. (A square has 4 sides, a triangle has 3 - multiplying by the side length of each will get perimeter)
We also know that the side length of the triangle is 1 meter longer than the side length of the square, so the equation here becomes [tex]t = s+1[/tex].
Now, let's substitute the second equation ([tex]t = s+1[/tex]) into the first ([tex]4s=3t[/tex]).
[tex]4s = 3(s+1)[/tex]
Apply the distributive property:
[tex]4s = 3s+3[/tex]
Subtract 3s from both sides:
[tex]s=3[/tex]
So the side length of the square is 3. We can now plug it into the equation [tex]t = s + 1[/tex] to find the side length of the triangle.
[tex]t = 3+1\\\\t=4[/tex]
Hope this helped!
Quotient of 9 times x minus 24 and 6
Can somebody please help me write this into an expression?
Answer:
9x - 24 ÷ 6
Step-by-step explanation:
Quotient means that one number will be divided by another, so the division sign will be involved in the expression.
9 times x minus 24 translates to 9x - 24.
Now, put it all together.
9x - 24 ÷ 6 will be the expression.
Hope that helps.
Will mark brainliest, worth 60 points
Answer:
21 is option 3
22 is option 3
23 is option 1
Step-by-step explanation:
Bob runs four laps. The average speed for the first lap is 12 km/h, the average speed for the second lap is 10km/h, the average speed for the third lap is 8km/h and the average speed for the last lap is 6km/h. What is average speed for the four laps
Answer:
The average speed for the four laps is 9 km/h.
Step-by-step explanation:
The average speed of the four laps can be calculated as follows:
[tex] \overline{v_{T}} = \frac{\overline{v_{1}} + \overline{v_{2}} + \overline{v_{3}} + \overline{v_{4}}}{4} [/tex]
Where:
[tex]\overline{v_{1}}[/tex]: is the average speed for the first lap
[tex]\overline{v_{2}}[/tex]: is the average speed for the second lap
[tex]\overline{v_{3}}[/tex]: is the average speed for the third lap
[tex]\overline{v_{4}}[/tex]: is the average speed for the fourth lap
Hence, the average speed for the four laps is:
[tex] \overline{v_{T}} = \frac{12 km/h + 10 km/h + 8 km/h + 6 km/h}{4} [/tex]
[tex] \overline{v_{T}} = 9 km/h [/tex]
Therefore, the average speed for the four laps is 9 km/h.
I hope it helps you!
In a four year period, about 80,000 acres of coastal wetlands in the United States are lost each year. What integer represents the total change in coastal wetlands? Write an equation and solve. (Hint: They are being lost.)
Answer:
-320000
Step-by-step explanation:
Given
Lost Land = 80,000 acres yearly
Duration 4 years
Required
The total change
Represent the total change with y;
y is calculated as thus;
[tex]y = Lost\ Land * Duration[/tex]
[tex]y = -80,000 acres * 4[/tex]
[tex]y = -320000\ acres[/tex]
Hence, a total of 320000 acres were lost during the period