Answers
Answer:
x = 14
Step-by-step explanation:
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
The value of x given that JKL ~ MKN is; x= 14.
According to the question;
JKL ~ MKN; In essence, both triangles are congruent.Based on ratios; We can conclude that;
[tex] \frac{12}{x + 1} = \frac{32}{3x - 2} [/tex]
By cross product, we have;
36x - 24 = 32x + 32.4x = 56x = 14.
Ultimately, the value of x given that JKL ~ MKN is; 14.
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Related Questions
Which is the missing step in the proof below? There is a 4th row that blank...
Given: ABCD is a parallelogram. ACED is a parallelogram
Prove: ΔABC≅ΔDCE
Answer choices are
A. ΔABC ≅ ΔDCE by the SAS congruence theorem
B. ΔABC ≅ ΔDCE by the ASA congruence theorem
C. ΔABC ≅ ΔDCE by the SSS congruence theorem
D. ΔABC ≅ ΔDCE by the HL congruence theorem
Answers
Answer:
would go for C, SSS (side side side theorem)
Which of the following is the best example of a food chain in a marine ecosystem?
Answers
A food chain is a single pathway connecting a producer with several levels of consumers. In a typical marine food chain, dinoflagellates convert energy from sunlight into food through photosynthesis and store it in their tissues. Copepods feed on dinoflagellates and incorporate this energy into their own tissues.
What is the area of the base of the cone below?
Answers
Given:
Given that the height of the cone is 12 ft.
The volume of the cone is 90 ft³
We need to determine the area of the base of the cone.
Area of the base of the cone:
The area of the base of the cone can be determined using the formula,
[tex]V=\frac{1}{3} \pi r^2 h[/tex]
where the base area is [tex]A=\pi r^2[/tex]
Substituting the value of A in the above formula, we get,
[tex]V=\frac{1}{3}A h[/tex]
Substituting V = 90 and h = 12, we get;
[tex]90=\frac{1}{3}A (12)[/tex]
[tex]90=4A[/tex]
Dividing both sides by 4, we get;
[tex]22.5 =A[/tex]
Thus, the area of the base of the cone is 22.5 square feet.
Hence, Option c is the correct answer.
What is the volume of the pyramid?
A. 60 ft^3
B. 240 ft^3
C. 106.7 ft^3
D. 80 ft^3
Answers
Answer:
the correct answer is
D. 80 ft^3
vol. of pyramid = (l× w × h)/3
= (6×8×5)/3
= 80 ft^3
Answer:
60?Step-by-step explanation:
I dont know :cEvent A : stops on an even number
Event B: stops on blue
Find the P ( A or B )
2/3
1/2
1/6
1/3
Answers
Answer:
2/3
Step-by-step explanation:
Answer:
Event A : stops on an even number
Event B: stops on blue
Find the P ( A or B )
2/3
Subtract:
–57 – 19 –16
Question 13 options:
A)
–76
B)
–35
C)
–73
D)
–92
Answers
Answer:
it's answer is D -92
As -57-19-16= -92
Answer:
D)
–92
Step-by-step explanation:
–57 – 19 – 16 =
= - (57 + 19 + 16)
= - (+ 92)
= - 92
1/4 of all telephones at the office have built-in speaker phones 1/2 of the phone with the built in speaker phones have conference call capability how many of the phones in the office have both speakerphone and conference call capability
Answers
Answer:
1/8
Step-by-step explanation:
1/2 of 1/4 is 1/8
What does the overlapping shaded region mean?
Answers
Answer:
Step-by-step explanation:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
Answer:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
I hope this helps good luck!
A triangle is shown. What is the length, in inches, of side a?
Answers
Using trigonometric ratios, the length in inches of the given triangle is 22 inches.
Given a right angled triangle.
The length of the hypotenuse is also given.
We can find the length of "a" using the sine trigonometric ratio.
We know that,
Sine of any angle is defined as the ratio of the opposite side to the hypotenuse of a right angled triangle.
Using the sine function here for the angle 30°,
sin (30°) = opposite side / adjacent side
sin (30°) = a / 44
Or,
a / 44 = sin (30°)
We know that sin (30°) = 1/2.
So,
a / 44 = 1/2
Multiplying both sides by 44, we get,
a = 44 / 2
a = 22 inches
Hence the length is 22 inches.
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Akio found 18 cents in his pocket. He found 6 more coins in his pocket. Altogether he has 73 cents. What were the 6 coins he found in his other pocket?
Answers
Answer:
1 quarter, 1 dime, and 4 nickels
Step-by-step explanation:
First you subtract the 18 cents that were found in the pocket from the total amount of 73 cents to get the total amount of the 6 other coins:
73-18=55.
So the total amount of the 6 coins equals 55 cents.
The quarter = 25 cents
The dime = 10 cents
The 4 nickels = 5 + 5 + 5 + 5 = 20
1 quarter, 1 dime, and 4 nickels add up to the necessary total of 6 coins and when you add up the total cents of the quarter, dime, and nickels, 25 + 10 + 20 it comes to the sum of 55, which is how much the 6 coins are worth in total.
So therefore, the answer is 1 quarter, 1 dime, and 4 nickels.
Which one of these is not like the others? [Things to think about, but not limited to…… what way does the graph open? Signs of the quadratic term, linear term, constant term? Domain? Range? You might also put them into desmos.com and look at the graphs!]
Function 1: y = 6x^2 - 4x - 8
Function 2: y = 3x^2 - 3x + 1
Function 3: y = -2x^2 + x + 5
Function 4: y = 0.5x^2 - 5x + 3
Answers
Answer:Function3
Step-by-step explanation:
You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest payment after one year was $283.50, how much was in each account after the year passed?
Answers
Answer:
3300 was on 3% and 6700 on 2,5%
Step-by-step explanation:
We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.
Therefore;
a + b = 10 000
And
0,03a + 0,025b = 283.5 (0,03 means 3% etc)
You can move 'b' to the other side to leave 'a' on the LHS
0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)
a=9450 - 0,8333b
Substitute this equation as 'a' in the first equation to get:
9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)
-0,8333b + b = 10 000 - 9450
0,1666b = 550 (divide both sides by 0,1666)
b = 3,300
Therefore 'a' will be :
a= 10 000 - 3 300
a = 6700
I hope this helps.
After solving the system of equations, the amount in the account with 3% interest was $844.50 and the amount in the account with 2.5% interest was $9155.50 after one year.
Explanation:Let's assume the amount invested at 3% interest is x and the amount invested at 2.5% interest is y. We can set up the following system of equations:
x + y = 10000 (equation 1)
0.03x + 0.025y = 283.50 (equation 2)
Multiply equation 1 by 0.03 and equation 2 by 100 to eliminate decimals:
0.03x + 0.03y = 300 (equation 3)
3x + 2.5y = 28350 (equation 4)
Now, subtract equation 3 from equation 4:
3x + 2.5y - 0.03x - 0.03y = 28350 - 300
Simplify:
2.97x + 2.47y = 28050 (equation 5)
Multiply equation 1 by 2.47 and equation 2 by -2.97 to eliminate y:
2.47x + 2.47y = 24700 (equation 6)
-2.97x - 2.97y = -842.25 (equation 7)
Add equation 6 and equation 7:
2.47x + 2.47y - 2.97x - 2.97y = 24700 - 842.25
Simplify:
-0.5x = -422.25
Divide both sides by -0.5:
x = 844.50
Substitute the value of x back into equation 1:
844.50 + y = 10000
Subtract 844.50 from both sides:
y = 9155.50
Therefore, there was $844.50 in the account with 3% interest and $9155.50 in the account with 2.5% interest after one year passed.
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Substitute 3 for x and evaluate the expression below. 6x – 2
Answers
Answer:
Step-by-step explanation:
sub 3 for x
6(3)-2
=18-2
=16
Answer:
16 i hope this helps! :)
Step-by-step explanation:
given x = 3
given 6x - 2
plug in the x value 6(3) - 2
simplify 18 - 2 = 16
answer 16
i need hell with this :(
Answers
Find the volume of the composite solid. Round your answer to the nearest tenth
Answers
Answer:
1130.4 cubic meters
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
The composite solid has two cones:
The height of the big cone is: 12 mThe height of the small cone is: 18The radius of the common base of the two cones is: 6 m=> the volume of the big cone is:
V = (1/3)π[tex]r^{2}[/tex]·h = (1/3)*3.14*[tex]6^{2}[/tex]*18 = 678.24 cubic meters
=> the volume of the small cone is:
V = (1/3)π[tex]r^{2}[/tex]·h = (1/3)*3.14*[tex]6^{2}[/tex]*12 = 452.16 cubic meters
=> the volume of the composite solid :
= 678.24 + 452.16
=1130.4 cubic meters
-x+3y= 6
x + 3y = 18
Answers
Answer:
x = 6
y = 4
Step-by-step explanation:
-x + 3y = 6 → times (-1)
x + 3y = 18
x - 3y = -6
x + 3y = 18
________ -
__-6y = -24
___y = -24/-6
___y = 4
x - 3y = -6
x - 3(4) = -6
x - 12 = -6
x = -6 + 12
x = 6
Answer:
x = 6, y = 4
Step-by-step explanation:
-x + 3y = 6
x + 3y = 18
If you are looking for x and y it is...
x = 6
y = 4
A restaurant franchise earns a bonus of $1,500 to be split equally among 12 employees. How much will each employee receive?
$125
$800
$1,488
$12,000
$18,000
Answers
Answer:
$125
Step-by-step explanation:
1500/12
125
Answer:
125
Step-by-step explanation:
1,500 divided by 12 is 125
1. Each group of 5 students in a science class received one project box. Classroom A received 5 boxes. What is a possible number of students in the room?
A. 5
B. 20
C. 10
D. 25
2. Liza and Marta mow lawns during the summer to earn money. Liza determined that she can earn between $6.00 and $6.25 per hour. Marta estimates that she earns between $7.50 and $8.00 per hour. About how much more money will Marta earn than Liza if they each work 22 hours?
A. $25.01 to $45.00
B. $65.01 to $85.00
C. $45.01 to $65.00
D. $5.00 to $25.00
3. Last month, Belinda worked 160 hours at a rate of $10.00 per hour. If her employer retains 9% of her gross salary, is $1,500 a reasonable estimate of her net salary?
A. Yes, because $1,500 is close to
B. No, because $1,300 is a better estimate.
C. No, because retaining 10% of her salary would leave her with about $1,350.
D. Yes, because her salary will be a bit more than
Answers
Answer:D because if one group received one box each group it would most likely be 25 students
Step-by-step explanation:
Answer:
1 is 25
Step-by-step explanation:
Recently students at a middle school went on a field trip to a museum.The circle graph shows what percent of the students were in each grade. Of the 700 students on the fed trip’ how many were 6th graders
Answers
Answer:
Do you have a pic of the pie chart, or can you type in the percentages?
Step-by-step explanation:
Compare the values
9 x 10^2 is ? times as much as 3 x 10^-2
a. 3 x 10^-4
b. 6 x 10^4
c. 6 x 10^0
d. 3 x 10^4
Answers
Answer:
d. 3 × 10⁴
Step-by-step explanation:
9 × 10² = X × 3/10²
X = 9 × 10² × 10²/3
X = 3 × 10⁴
Answer:
3×10⁴
Step-by-step explanation:
the explanation is in the picture
please like and Mark as brainliest
I am A line segment found where 2 faces of polyhedron intersect what am i
Answers
Answer:
I do not know
Step-by-step explanation:
Complete the solution of the equation. Find the
value of y when x equals -8.
-x – 4y = 16
Enter the correct answer.
DONE
OOOO
OOO
Clear all
EO
Answers
Final answer:
To solve for y when x equals -8 in the equation -x - 4y = 16, we substitute x with -8 and simplify the equation step-by-step to find y = -2.
Explanation:
To complete the solution of the equation and find the value of y when x equals -8, we need to substitute x with -8 in the given equation -x - 4y = 16. Let's solve the equation step-by-step:
Substitute x with -8: -(-8) - 4y = 16.Simplify the equation: 8 - 4y = 16.Subtract 8 from both sides: -4y = 16 - 8.Simplify the right side: -4y = 8.Divide both sides by -4 to solve for y: y = 8 / -4.Therefore, y = -2.The value of y when x equals -8 is -2.
Please help me I have a limited time
Answers
Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
At a restaurant a manger recorded the sales for one of his servers named
Damaria. $52, $60, $48, $52, $46, $48, $28, $192, $71, $59 Which center
should be used to best represent the data?
a. Damarias mean sale is 570
b. Damarias median sale is $52
c. Damaria's mode sale is $52
d. Damaria's range of her sales is $164
The number of cookies found in 10 different snack bags are shown below
Answers
Answer: b. Damarias median sale is $52
Step-by-step explanation:
Hi, the correct option is b. Damarias median sale is $52.
If we rank the sales order from lowest to highest
28 46 48 48 52 52 59 60 71 192
Since 52 is the middle value, it's the median, because 4 sales are above it and 4 sales are below it.
Feel free to ask for more if needed or if you did not understand something.
Which is a diagonal through the interior of the cube? A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G. Side A D Side B G Side C E Side D F
Answers
Side BG is the diagonal through the interior of the cube
Step-by-step explanation:
Given Cube with
Top face ABDC
Bottom Face EFHG
In a cube there are 4 interior diagonals
Side AD is the diagonal of the top face ABDC
Side CE is diagonal of the side face ACBE
Side DF is diagonal of the side face BDHF
Side BG is the diagonal through the interior of the cube
Hence , the Side BG is the diagonal through the interior of the cube
a.
Kayleen left home at noon and drove to boston.she got there at 4:00.if boston is about 280 miles away,what was kayleens average speed.
b. Elijah was also driving to Boston, but she left from outside of the city and was already 40 miles closer than Kayleen was when she started. She also left at noon and got there at 4:00. What was her average speed?
Answers
Answer: a) 70 mph
b) 80 mph
Step-by-step explanation:
Given that Kayleen left home at noon and drove to boston.she got there at 4:00. Then time spent will be 4 hours . Noon means 12pm
Distance covered = 280 miles kayleens average speed will be
Speed = distance/time
Speed = 280/4 = 70 mph
Given that Elijah was already 40 miles closer than Kayleen was when she started
Distance covered by Elijah will be
Distance = 40 + 280 = 320
Time = 4 hours
Speed = 320/4 = 80 mph
Help I’m on a time limit
Answers
Answer:
The answer would be 26?
Step-by-step explanation:
So you know the top is 20cm so the bottom would be the same. Then you know W’s circle is 2cm and X’s is 4 you would have to add the 2 and 4 to 20 to get 26?
29. repetition of digits is permitted and the letters must be 2 DIFFERENT vowels (a, e, i, o, u).
a) 6,760,000
b) 3,276,000
c) 20,000
d) 6760
Answers
Answer:
c) 20,000
Step-by-step explanation:
Number of digits = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 = 10,
Number of vowel letters = a, e, i, o, u = 5
Repetition of digits is permitted but repetition of vowel letters is not permitted
Let the password be presented in dash form as shown below:
____ ____ ____ ____ ____ =
D D D V V
where:
D = possible number of digits to fill the spot
V = possible number of vowels to fill the spot
Since repetition of digits is permitted, each spot marked as D can be filled with any one of 10 digits from 0 - 9
The first spot marked V has 5 possible options (a, e, i, o, u) & the second spot marked V only has 4 possible options (since repetition of vowels is not permitted).
We then place the number of possibilities in each spot and multiply them to determine the number of passwords possible
10 * 10 * 10 * 5 * 4 = 20,000
Therefore, the number of possible passwords is 20,000
Describe and correct the error a student made in finding the average rate of change for f(x)equals0.5xsquared over the interval minus4less than or equalsxless than or equalsminus2.
Answers
Answer:
please explain it better.
Step-by-step explanation:
The student needs to use the average rate of change formula correctly. For the function f(x) = 0.5x^2 and the interval [-4, -2], the correct average rate of change is -3.
Explanation:The student is looking to find the average rate of change of the function f(x) = 0.5x^2 over the interval [-4,-2]. The average rate of change of a function over the interval [a, b] is calculated by the formula: (f(b) - f(a)) / (b - a).
For our function and interval this calculates to (f(-2) - f(-4)) / (-2 -(-4)). f(-2) is 0.5(-2)^2 = 2, and f(-4) is 0.5(-4)^2 = 8. Substituting into the formula gives (2 - 8) / (-2 -(-4)) = -6 / 2 = -3. So the correct average rate of change for f(x) = 0.5x^2 over the interval [-4,-2] is -3.
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A square patio has an area of 153 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately feet long.
Answers
Answer:
38.3
Step-by-step explanation:
Since the patio is a square all of the sides have to be equal.
153/4=38.25
Rounded to the nearest tenth the answer is 38.3
Each side of the patio is approximately 38.3 feet long.