Step-by-step explanation:
3x+2x+10+2x+5+2x-15 = 360
9x+15-15=360
9x=360
x=40.
3x=3×40=120°2x+5=2×40+5=80+5=85°2x+10=2×40+10=80+10=90°2x-15=2×40-15=80-15=65°.hope this helps you.
Answer:
2x° + 10° = 90°
3x° = 120°
2x° + 5° = 85°
2x° - 15° = 65°
Step-by-step explanation:
360° = 3x° + 2x° + 5° + 2x° + 10° + 2x° - 15°
360° = 3x° + 2x° + 2x° + 2x° + 5° + 10° - 15°
360° = 9x°
9x° = 360°
x° = 360° : 9
x° = 40°
2x° + 10°
= 2(40°) + 10°
= 80° + 10°
= 90°
3x°
= 3(40°)
= 120°
2x° + 5°
= 2(40°) + 5°
= 80° + 5°
= 85°
2x° - 15°
= 2(40°) - 15°
= 80° - 15°
= 65°
#LearnWithEXO
Which number is farther from 0 on a number line: -9 or 6? Explain your resoning.
Answer:
-9 because it is to the left of the number line, smaller than 6 and a negative
Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}
Answer:
29
Step-by-step explanation:
Your friend calculates the distance between points Q(1,5) and R(3,8), as shown below. What is his error?
The distance between two points is the number of units between them.
The distance between Q and R is 3.61 units
It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.
The distance (d) between two points is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, the distance QR is:
[tex]QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}[/tex]
[tex]QR = \sqrt{(- 2)^2 + (- 3)^2}[/tex]
Evaluate exponents
[tex]QR = \sqrt{4 +9}[/tex]
[tex]QR = \sqrt{13}[/tex]
Take square root of 13
[tex]QR = 3.61[/tex]
Hence, the distance between Q and R is 3.61 units
Read more about distance at:
https://brainly.com/question/16310813
Leah has a points card for a movie theater. • She receives 30 rewards points just for signing up. • She earns 2.5 points for each visit to the movie theater. • She needs 50 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Leah must make to earn a free movie ticket.
Answer:
2.5v+30=50
V=8
Step-by-step explanation:
It costs $1.20 per person and $3.75 per hour to rent a meeting room at the library. Let x represent the number of people and y represent the number of hours. If 3xpeople rented the room for 2yhours, write an expression to represent the total cost of the rental?
Answer:
1.2(3x)+3.75(2y)
Step-by-step explanation:
multiply 1.2 by what you know for number of people
multiply 3.75 by what you know for number of hours
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
Median. Explanation to each part below.
Step-by-step explanation:
a) Starting with calculating the mean, which is all the values added divided by the number of values (in this case he has 6 scores total).
[tex]mean/average=\frac{81+87+93+89+61+81}{6} =\frac{492}{6} = 82[/tex]
b) To find the median, arrange all the test scores in increasing order and find the middle/median value. We have 6 scores, so we will have 2 middle scores. If we had 7 scores, we would find only 1 score in the middle which would be the median. We will have to find the average of the two scores.
[tex]61,81,81,87,89,93[/tex]
The middle values will be 81 and 87 so find the average of those 2 scores.
[tex]Median: \frac{81+87}{2} =\frac{168}{2} =84[/tex]
c) The mode is the score which occurs the most. In this case, Jack has 2 scores that are 81, which is his mode.
d) The measure that would make his performance sound good would be the median. The mode and mean are below the score of 84 that he gets for the median. He would want to flaunt this measure to show he performs well.
please show working, please!
Answer:
84
Step-by-step explanation:
7/10 of them likes math and there are 240 student in total
240 / 10 = 24 and 24*7 = 168 student likes math if half of them are girls
then there are 84 girls that likes math.
[tex]\sf 10\times 10=?[/tex]
Answer:
100
Step-by-step explanation:
hope it's help you
pls brainliest me:(
what is the distance between - 24 and 11
Answer:
13
24-11 = 13
Step-by-step explanation:
Answer:
35 unitsStep-by-step explanation:
The distance is the absolute value of the difference between the coordinates of end points:
d = |-24 - 11| = | - 35| = 35 unitsNeed help with math:/!!!!
MN is 6 units. Find the lengths of NZ and XZ.
For the image see if you have enough info to find the missing lengths. If not, explain why.
Answer:
Step-by-step explanation:
[tex]\frac{3 +NZ}{3}[/tex] = [tex]\frac{5+5}{5}[/tex] ⇒ NZ = 3
XZ = 6 × 2 = 12
The length of NZ = 3 units.
The length of XZ = 12 units
Triangle Proportionality TheoremWhat is Triangle Proportionality Theorem?A line that runs perpendicular to one side of a triangle and crosses the other two sides equally splits the two sides.
Use of Triangle Proportionality Theorem to find the sides:Step 1: Consider side NY, NZ, YM, MX
By the theorem,
[tex]\frac{YN}{NZ}=\frac{YM}{MX}[/tex]
[tex]\frac{3}{NZ}=\frac{5}{5}[/tex]
[tex]NZ=3[/tex] units
Step 2: Consider sides YM, YX, NM, ZX
[tex]\frac{YM}{YX} =\frac{NM}{ZX}[/tex]
[tex]\frac{5}{10} =\frac{6}{ZX}[/tex]
[tex]ZX = 12[/tex] units.
Therefore, the values for the sides are NZ = 3 units and XZ = 12 units.
To know more about more about similar triangles, here
https://brainly.com/question/21874653
#SPJ2
Help please I really need it!
roc = 2
rise is 2, run is 1
2/1 = 2
Answer: The answer is 2 because rise 2 and run only 1. You then do 2/1 and you get 2!
please do this for me
A group of students left school at 8:00 am on a field trip to a science museum 90 miles away. Which best the average speed of the bus if they arrived at 10:00
Answer:
45 mph
Step-by-step explanation:
90 / 2 = 45 mph
Rhombus ABCD has vertices A(1,1), B(5,3), C(7.7), and D(3,5). After a translation, the image A'
is located at (-2,8). What are the coordinates of C'?
Answer:
C'(4, 14)
Step-by-step explanation:
A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting salary of $31,000Raise of $3000 each yearCompany B:Starting salary of $38,000Raise of $2000 each yearPart A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.
Using linear functions, we have that:
A.
For Company A: [tex]S_A(n) = 31000 + 3000n[/tex]
For Company B: [tex]S_B(n) = 38000 + 2000n[/tex]
B. The salaries will be the same after 7 years.
A linear function is given by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.Item a:
For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, [tex]b = 31000, m = 3000[/tex], and the salary after n years is given by:[tex]S_A(n) = 31000 + 3000n[/tex]
For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, [tex]b = 38000, m = 2000[/tex], and the salary after n years is given by:[tex]S_B(n) = 38000 + 2000n[/tex]
Item b:
They will be the same after n years, for which:[tex]S_A(n) = S_B(n)[/tex]
Then
[tex]31000 + 3000n = 38000 + 2000n[/tex]
[tex]1000n = 7000[/tex]
[tex]n = \frac{7000}{1000}[/tex]
[tex]n = 7[/tex]
The salaries will be the same after 7 years.
A similar problem is given at https://brainly.com/question/24282972
Round 6,248 to the nearest hundred
Answer:6200
Step-by-step explanation:
:We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
: We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
: If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
:In this case, Rule B applies and 6248 rounded to the nearest hundred is:
6200
Answer: the answer is 6,200 hope it helps!
Step-by-step explanation:
Airfare from Atlanta, GA to Nashville,TN was decreased from $250 to $180. By what percentage did the cost of the airfare change?
Answer:A decrease of 28%
Step-by-step explanation: the question says decreased so you can mark out A and B then 250-180 is 70, 70% of 250 is 28%
The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%.
What is the percentage?
The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given question,
Initial price of Airfare = $250
Final price of Airfare = $180
The percentage = change/initial × 100
Percentage decrease = (250 - 180)/250 × 100
⇒ 0.28 × 100 = 28%
Hence "The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
Which best describes the graph of the function f(x) = 4(1.5)x?
Answer:
B
Step-by-step explanation:
Since this Equation isn't linear because of the squaring, we can eliminate A and C which imply linear functions. Then it's as easy as pluging in zero for the equation and seeing which one works, and you get an answer of B
b. What is the volume of a cube with edge length of 1/3
cm?
Answer:
1/8 cm^3
Step-by-step explanation:
[tex] ({ \frac{1}{3} })^{3} = \frac{1}{8} [/tex]
what is the volume of this cylinder with a 5 cm radius and 14cm height
Answer:
V≈1099.56cm³
Solution:
V=πr2h=π·52·14≈1099.55743cm³
5√162−3√8 to its simplest form
Answer:
I think it is this one:
39√2
The simplest form of 5√162−3√8 is 39√2 or 55.146
What is simplification?
Simplification or simplifying fractions way to simplify a complex mathematical expression to get an unmarried or direct answer.
Calculation:-
⇒5√162−3√8
⇒5*12.72-3*2.83
⇒63.6-8.49
⇒55.146
Learn more about simplification here:-https://brainly.com/question/723406
#SPJ2
Write a few sentences discussing where you think the same kind of reasoning skills used in geometry proofs is applied in professional jobs.
Give 2 or more careers that apply. (6 points)
Provide clear reasoning or examples to justify your choices (4 points).
Answer:
Builder
Step-by-step explanation:
At the zoo, a child pays c dollars for a ticket and an adult pays g dollars. Explain in words the meaning of g=2c
Answer:
Step-by-step explanation:
I don't understand this question can someone help me with this please, please explain!! and thank you for the help
Answer:
The 3rd option
Step-by-step explanation:
Look at the data provided:
12, 17, 18, 20, 16, 10, 13, 21, 9, 10, 22
In a box-and-whisker plot, draw a box from the first quartile to the third quartile:
Q1 = 11
Q3 = 19
A vertical line goes through the box at the median:
Median (Q2): 15
The whiskers go from each quartile to the minimum or maximum:
Minimum: 9
Maximum: 22
Hope this helped :)
solve for x
r=xy
(Show solving steps please)
Answer:
x=r/y
Step-by-step explanation:
xy together means they are multiplying.
to move y over you do the opposite which is divide by Y on both sides
r/y = xy/y
that way x is next to 1, which we don't have to write
r/y=x
What are the correct answers to this geometry question?
Answer:
x = 9
AB = 9
BC = 15
Step-by-step explanation:
x + x + 6 = 24
2x + 6 = 24
2x = 24 - 6
2x = 18
x = 18 / 2
x = 9
AB = x = 9
BC = x + 6
= 9 + 6
BC = 15
What is 223*445=
What is 2+2
Answer:
99235
4
Explanation: Addition, and Multiplication
A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?
The distance from the road where an intruder would be in danger is 27.48 m.
To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:
Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.
In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)
From this we know the following data:
Length AB = 15mLength AD = 15mLength AC = 6mTo know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.
BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 mLater we use the same procedure to find the length CD.
CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 mFinally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.
BC + CD = BD = 27,48 mLearn more in: https://brainly.com/question/14930619
hey I'm helping my sister with her homework and I sadly suck at these so cam someone please help me.:)
put these fractions from least to greatest
3/4 3/5 3/7
3/7, 3/5, 3/4
if you draw out a illustration representing each fraction, you would find the answer.
hope this helped.
Round 63.7786879082 to the nearest tenth.