Answer:
2*16n = 21 -7n
Step-by-step explanation:
hope this helps :)
What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The measures of other angles are (x+17⁰) and (4x-34⁰).
x=17
step-by-step Explanation:-[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]
This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.
Solution:-Given angles
(6x+10°)(x+17°)(4x-34)°According to sum theory
[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]
Substitute the values[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]
Remove brackets[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]
Together like polynomials and constants[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]
[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]
Interchange sides[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]
[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]
[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]
Simplify[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]
[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]
There are 33 times as many boys as girls in a room. If 4 boys and 4 girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally
Answer:
here are 3 times as many boys as girls in a room. If 4 boys and four girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally?
8 girls
24 boys
There were 24 boys and 8 girls in the room originally.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
Given that there are 3 times as many boys as girls in a room.
If 4 boys and 4 girls leave the room, then there will be 5 times as many boys as girls in the room.
Let's assume the number of boys would be b
And the number of girls would be g
According to the given condition, the required solution would be as:
b = 3g ....(i)
b - 4 = 5 (g - 4) ....(ii)
Substitute the value of b = 3g in equation (ii), and solve for g
3g - 4 = 5 (g - 4)
3g - 4 = 5g - 20
5g - 3g = 20 - 4
2g = 16
g = 8
Substitute the value of g = 8 in equation (i), and solve for b
b = 3 × 8
b = 24
Hence, there are 24 boys and 8 girls in the room.
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9. Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year.
Complete question :
Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year. Compare the models.
Answer:
y = 850 + 100x
y = 850 + 1.08^x
Step-by-step explanation:
SCHOOL A:
Initial Number of students = 850
Increase per year = 100
SCHOOL B:
Initial Number of students = 850
Increase per year = 8%
Let the total number of students after x years = y
Hence,
SCHOOL A:
y = initial population + 100 * Number of years
y = 850 + 100x
SCHOOL B:
Using the growth rate relation
y = initial population + (1 + rate per year)^number of years
y = 850 + (1 + 0.08)^x
y = 850 + 1.08^x
Marcus bought a booklet of tickets to use at the amusement park. He used 50% of the tickets on rides, 13of the tickets on video games, and the rest of the tickets in the batting cage. Marcus says he used 10% of the tickets in the batting cage. Do you agree? Explain.
Given :
Marcus bought a booklet of tickets to use at the amusement park.
He used 50% of the tickets on rides, 13% of the tickets on video games, and the rest of the tickets in the batting cage.
To Find :
Marcus says he used 10% of the tickets in the batting cage.
Solution :
We know sum of all the percentage should be equal to 100.
So,
( % used on rides ) + ( % used on video game ) + ( % used in batting cage ) = 100
Let, % of ticket spend on batting cage is x.
50 + 13 + x = 100
x = 100 - ( 50 + 13 )
x = 37%
So, Marcus used 37% in batting cage.
Therefore, the statement by Marcus that he use 10% of the ticket in the cage is wrong.
No, i do not agree. To find this out, we will have to convert all of them into either decimals or percents. Let's convert these all into percents. A percent means 'out of 100', so if we add the percents all together, they should equal to 100. The rides is 50%. To convert 1/3 into a percent, divide the numerator by the denominator. You will get a decimal, so then multiply that by 100 or move the decimal two places to the right. So, 1 divided by 3 is equal to approximately 33%. Let's add 50 and 33 together. The total is 83%. So, like I said, a percent is out of 100. Subtract 83 out of 100 and you will get 17. So, the remaining percent has to be 17 percent, not 10%.
Hope it helps :)
Find the volume of a hemisphere of radius 5 cm.
Answer:
the volume of a hemisphere with a radius of 5 feet is 261.67 cubic feet.
Step-by-step explanation:
What are the zeros of the function
The chart below shows the density of three different liquids. Which illustration correctly shows how these liquids would appear if they were poured slowly into a cylinder?
Answer:
A
Step-by-step explanation:
Though i am unable to attach an image of the question here. However, i will do my best to explain quite well.
The densities of the liquids are;
A - 13.6 g/ml
B- 0.8 g/ml
C- 1.0 g/ml
The most dense liquids will be found at the bottom while the least dense liquid is topmost liquid. This implies that A will be found at the bottom followed by C and finally B.
Find the value of each variable that makes the equation true.
1. 89 = 1
2. 94.9-6 = 96
3. 5-3.2-3 = 100
D
Question 9
1 pts
The amount of money you collect after washing x cars at a car wash and asking for
donations is represented by the function y = 8x + 19.
Find the domain of the function and determine whether it is discrete or continuous.
A) x= 8, 9, 10, ...; discrete
B) x=0,1,2,...; discrete
C) x > 0; continuous
D) x > 8; continuous
Answer:
B) x=0,1,2,...; discreteStep-by-step explanation:
Given
Function y = 8x + 19x is the number of cars so it should be a whole number so the domain is discrete
Correct option is B
What is the value of k^16 - 16^k, if x = 13^2 * 15^4 * 17^6 * 19^8 and is a multiple of 16^k, where k is a whole number?
Note: ^ means to the power of
Answer:
I tried but I kept getting weird numbers
Step-by-step explanation:
Anna is plotting points for a rectangle in the coordinate plane. She plots (4, -3), (4, 0), and (-2, 0). Which could be the coordinate pair that Anna plots in the third quadrant?
a) (2,3)
b) (-2,3)
c) (2,-3)
d) (-2,-3)
Can someone explain how to work this out?
Step-by-step explanation:
2.
(13y)° and (8x+y)° are supplementary angles on a straight line therefore:
13y+8x+y=180°
14y+8x=180°——equation 1
Again,
(13y)° and (20x+3y)° are corresponding angles therefore are equal so:
13y=20x+3y
13y-3y-20x=0
10y-20x=0——equation 2
Now we find the value of x and y using the system of equations
Thus,we solve :
14y+8x=180°
10y-20x=0
Solving them,x=5 and y=10
3.We use the same approach for this
3(x+y)° and 5x are corresponding angles and are equal therefore:
3x+3y=5x
3x-5x+3y=0
-2x+3y=0——equation 1
Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:
5x+4x-9=180
9x-9=180°
9x=180+9
9x=189°
x=21
Plug in the value of x into equation 1 for y
-2x+3y=0
-2(21)+3y=0
-42+3y=0
3y=42
y=42/3=14
So x is 21 and y is 14
in ACE, G is the centroid and BE = 9. find BG and GE
Answer:
b-g is 3
g-e is 6
Step-by-step explanation:
good luck, have a good day, can i get brainliest
GE = 6 and BG = 3
What is centroid?The point in which the three medians of the triangle intersect is known as the centroid of a triangle.
Given that, G is the centroid and BE = 9
The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,
BG = 1/3*BE
BG = 1/3*9 = 3
And,
GE = 2/3*9 = 6
Hence, GE = 6 and BG = 3
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a, b, and c represent three different digits. If you add up all of the six two - digit numbers that can be written with these digits, where you don't use the same digit twice in each number, then the sum will be 528. Find these digits.
Answer:
The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb
The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528
22a + 22b + 22c = 528
a + b + c = 528/22
a + b + c = 24 The only option of three different digits with the sum of 24 is 7, 8 and 9.
Hope this helps, stay safe, and merry christmas!
Please help me with the work! Thanks
Answer:
i cant see te pic that good
Step-by-step explanation:
Part A How can you find the magnitude of a vector , where the horizontal change is x and the vertical change is y?
Step-by-step explanation:
The magnitude of the 2D vector is sqrt[x² + y²].
wrong answer sorry bout that
What is the unit price for trail mix if a 8 ounce bag cost $2.80.
Someone able to solve this ? Please
If a $1000 computer is marked off 35%, what is the sale price?
A) $300
B) $350
C) $650
D) $1350
What I did was I took the $1000 and subtracted the percent off (35% equals 350)
[tex]1000 - 350 = 650[/tex]
The total cost of the sale price is $650 (C)
Thank you! btw can i please get brainly :3
Answer:
650
Step-by-step explanation:
1000-350=650
Please help I am bad at math and need to be somewhere soon so please help me asap
The band booster and the athletic booster clubs sell tickets for a fund-raiser. The band booster sells eight more than twice the number of tickets the athletic booster sells. The band booster club sells 280 tickets. Find the number of tickets the athletic booster club sells.
A. 144 tickets
B. 132 tickets
C. 136 tickets
D. 148 tickets
Answer:
C
Step-by-step explanation:
(280 - 8)/2 = Athletic booster tickets
(280-8)/2 = (272)/2 = 136
WILL GIVE BRAINLIEST TO 1st ANSWER PLEASE HELP!
Which set of pairs is linear and non-linear
1. (2,1), (3,4), (5,6), (2, 7)
2 (3,1), (−3, 1), (0,1), (5,1)
3 (1,1), (2,2), (3,3), (4,4)
4. (4,1), (6, 7), (8, 9), (4,7)
(2,4), (2,5), (2,6), (2,8)
Answer: 1. Not linear. 2. Linear. 3. Linear 4. Not Linear. 5. Linear.
Step-by-step explanation:
In order to prove the triangles pictured below as congruent BY SAS, we would need to know ___
a. AB≅AD
b. angle BAC≅angle DAC
c. angle ABC≅angle ADC
d. angle BCA≅angle DCA
Answer: D
Step-by-step explanation: i got it right
What is the solution to this system of equations?
10
8
6
y = x + 6
y = -0.5x + 3
4 2
2
O A. (-1,2)
OB. (-2,4)
O C. (2, -1)
O D. (4,-2)
Answer:
it is B
Step-by-step explanation:
Look at where both of the lines meet from there you can find that (-2,4) is the solution
The solution to the system of equations is (x, y) = (-2, 4).
Option B is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can solve this system of equations by setting the expressions for y equal to each other and solving for x, then substituting the value of x into one of the equations to find the corresponding value of y.
y = x + 6 ...(1)
y = -0.5x + 3 ...(2)
Setting equations (1) and (2) equal to each other gives:
x + 6 = -0.5x + 3
Solving for x, we get:
x + 0.5x = 3 - 6
1.5x = -3
x = -2
Substituting x = -2 into equation (1), we get:
y = -2 + 6
y = 4
Therefore,
The solution to the system of equations is (x, y) = (-2, 4).
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Select Rational or irrational to classify each number
How much will a 100% affect my grade if I have 42%
please I got a 0 and it dropped my grade by half and if I have an F I have to go in person
Hi!
So your grade depends on how much the 2 scores are weighted.
BUT, if the 42 and 100 have equal weights of 50/50, you will have a 71% C
If the 100 isn't weighted that much, I'd guess it'd be around 75/25, your grade will be a 56% F
Try to get as many high grades or extra credits as possible!
Please mark brainliest and ask more if you need help!
The rabbit population in a certain area is 300% of last year's population. There are 900 rabbits this year. How many were there last year? *
A - 300 rabbits
B - 2,700 rabbits
Answer:
-300
Step-by-step explanation:
Which table of ordered pairs represents a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 4, negative 5. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 1, negative 3, negative 5. Column 2 is labeled y with entries 1, 3, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries negative 5, negative 7, negative 9.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 3, negative 4. Column 2 is labeled y with entries 0, negative 1, negative 2.
Answer:
A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.
Step-by-step explanation:
Examining the response options:
A 2- compartment chart with 3 rows. Column 1 is designated x with records 1, 5, 6. compartment 2 is designated y with records 5, 20, 30.
No, as y = 25 not 20 and x = 5 .
A 2- compartment chart with 3 rows. Column 1 is identified x with approaches 48, 32, 16. compartment 2 is designated y with listings 4, 2, 1.
No, y =64 not 48 and x= 4.
A 2- compartment chart with 3 lines. compartment 1 is designated x with records 0, 1, 3. compartment 2 is designated y with records 90, 70, 25.
No, y= 25+3*45= 160 not 90 and x = 3.
A 2- compartment chart with 3 lines. compartment 1 is designated x with records 42, 28, 14. compartment 2 is designated y with records 2, 4, 6.
Yes, as 2*7 = 14, 4*7= 28, 6*7= 42.
Answer:
C
Step-by-step explanation:
Did the quiz! :D
Micah is building a structure that requires 3 pieces of wood each measuring 834 feet and 4 pieces of wood each measuring 1058 feet. What is the total length of wood, in feet, that Micah needs?
Answer:
834*3 + 1058*4 = ___
2,502 + 4,232 = 6,734 feet of wood
Step-by-step explanation:
Answer:
6734 is the answer.
Step-by-step explanation:
834 x 3 = 2502.
1058 x 4 = 4232.
2502 + 4232 = 6734.
In 60 seconds, a car in a parade travels 0.2 mile. The car traveled the last 0.05 mile in 12 seconds. How long did it take for the car to travel 0.1 mile?
Answer:
First 0.1 miles: 32 seconds
Last 0.1 miles: 28 seconds
Step-by-step explanation:
The car traveled 0.2 mile in 60 seconds.
The last 0.05 miles were done in 12 seconds.
Then the first 0.2 - 0.05 = 0.15 miles were done in 60 - 12 = 48 seconds. The speed of the car was: 0.15/48 = 0.003125 mi/s
At this speed it takes 0.1/0.003125 = 32 s to travel the first 0.1 mile.
In the second 0.1 mile, 0.05 miles are done at the same speed than before. It takes 0.05/0.003125 = 16 s, the next 0.05 miles were traveled in 12 seconds, making a total of 16+12 = 28 seconds
A bag has 5 yellow marbles, 3 red marbles, and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before another is picked. How many times would Quinn expect to a blue marble if he picks a marble 200 times
Answer:
He would expect to see the blue marble 40 times. Hope this helps!
Step-by-step explanation:
Answer:
40 blue marbles
Step-by-step explanation:
You would find the probability of a blue marble
2 blue/ ( 5+3+2) total
2 divided by 10 is 1/5
Then, you multiply 200 and 1/5 together, which would equal 40.
Quinn should expect to pick 40 blue marbles.