Answer:
Step-by-step explanation:
The two angles would equal 180°.
(7x - 5) + (5x + 19) = 180
Combine like terms.
12x + 14 = 180
Simplify by isolating the variable
12x + 14 = 180
------ -14 ----------
12x = 166
Divide both sides by 12
x = 13.833
To nearest tenth, 13.8
#4.. are the triangles congruent using SSS Congruence Theorem. Explain
I need this ASAP! When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square.
The total length of each row of bookshelves will be of length of the storage space.
A) Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves?
B) Write a function that expresses f(x).
C) Graph the function.
Area = 8,100 square feet
area of a square = a²
8,100 square feet = a²
√8,100 square feet = √a²
90 feet = a
total length each row of bookshelf is 4/5 of the length of the storage space.
90 feet * 4/5 = (90*4)/5 = 360/5 = 72 feet.
Area = (72 ft)²
Area = 5,184 square feet.
A train travels at an average speed of 67.5 at this speed how far could the train travel in 3.25 hours
Answer:
219.375
Step-by-step explanation:
Speed = distance / time
67.5 = distance / 3.25 hours
Multiply both sides by 3.25
67.5 x 3.25 = 219.375
Answer:
The Train Could travel 219.375 MPH
Step-by-step explanation:
Since the train travels at a speed of 67.5 miles per hour, multiply 67.5 by 3.25.
67.5 × .25 = 16.87567.5 × 3 = 202.516.875 + 202.5 = 219.375
Hope this helps!
I NEED HELP ASAP!!! DUE AT 11:45
Answer:
False
Step-by-step explanation:
hope it helps
....
If the maximum value of y =-x²+ax+b is 8 when x = 3, find the values of a and b
Answer:
a = 6 and b = -1.
Step-by-step explanation:
To find the maximum value of y = -x²+ ax + b we differentiate it with respect to x to find the value of x at which it is maximum.
So dy/dx = d(-x²+ ax + b)/dx = -2x + a
we equate it to zero.
-2x + a = 0
-2x = -a
a = 2x
Now, given that x = 3 at the maximum value,
a = 2x = 2(3) = 6
Also, substituting y = 8 and x = 3 into y, we have
y = -x²+ ax + b
8 = -(3)²+ a(3) + b
8 = -9 + 3a + b
3a + b = 8 + 9
3a + b = 17
So, b = 17 - 3a
substituting a = 6, we have
b = 17 - 3(6)
b = 17 - 18
b = -1
So, a = 6 and b = -1.
1. Charlene makes $10 per hour babysitting and $5 per hour gardening. This week, she wants to make at least $80.
Let b represent the hours she babysits and a represent the hours she gardens.
a. Create an inequality to represent the number of hours she should babysit or garden to make at least
$80.
b.How much would she have to garden if she did not babysit at all?
C.How much would she have to babysit if she did not garden at all
Answer:
Step-by-step explanation:
Well is she wanted to make $80 “b” she would have to garden for 16 hours to make a maximum of $80
“C” if she wanted to make it out of babysitting she would have to work the same for 8 hours if she babysit
Workout : b part = 10+10+10+10+10+10+10+10 Key:10=2
:c part = 20+20+20+20. Key:20=2
Sorry I didn’t do a but just add all the things above and u get your answer
which set of values could be the side lengths of a 30 60 90 triangle?
Answer:
b
Step-by-step explanation:
Four of you enter in the race. You are told that only one will complete the course. What is the probability if you complete the Course. What is probability that you will not complete the course.
Answer:
25% probability that you complete the course
75% probability that you do not complete the course
Step-by-step explanation:
If there are a total of 4 individuals entering the race and only one is able to complete the course then the probability that you will complete the course would be
1/4 = 0.25 or 25%
This is because you only represent 1 out of the 4 total participants. The opposite would be the case to calculate the probability that you will not complete the course since there are three other candidates with that could have completed it, therefore...
3/4 = 0.75 or 75%
write as an single power as 6?
(6^4)^5
Answer:
i think its 6 to the power of 20 but id k
Step-by-step explanation:
For the 2012-2013 National Hockey League and National Basketball Association seasons,
two hockey tickets and one basketball ticket purchased at their average rates cost $173.01.
One hockey ticket and two basketball tickets cost $162.99, when purchased at their
average rates. What were the average ticket prices for the two sports?
The average cost for an National Hockey League ticket was $____
The average cost for an National Basketball Association ticket was $____
9514 1404 393
Answer:
Hockey: $61.01Basketball: $50.99Step-by-step explanation:
Using h and b to represent the prices of hockey and basketball tickets, respectively, the two purchases are ...
2h +b = 173.01
h +2b = 162.99
Subtracting the second equation from twice the first gives ...
2(2h +b) -(h +2b) = 2(173.01) -(162.99)
3h = 183.03
h = 61.01
Substituting that into the first equation, we can solve for b:
b = 173.01 -2h = 173.01 -2(61.01)
b = 50.99
The average cost of an NHL ticket was $61.01.
The average cost of an NBA ticket was $50.99.
Which point on the number line is the best approximation for √59?
Answer:
6^2 = 36
Step-by-step explanation:
The number that best approximates the square of 6 is 36, its actual value. The point so labelled is the appropriate point on the number line.
7.7 is the point on the number line is the best approximation for √59
What is Number system?A number system is defined as a system of writing to express numbers.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
Approximation or approximate numbers can be defined as a value that is similar to the other value but not exactly equal to it.
We need to find the approximation of √59
We have given √59
We need to remove the radical
=7.681=7.7=8
We can place the dot on 7.7 of the number line.
Hence 7.7 is the point on the number line is the best approximation for √59
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3x+y-4=1 what is the x and y intercept?
Answer:
The answer is (0,5)
Step-by-step explanation:
(0,5)
Answer:
X-intercept= (1.67,0)
Y-intercept = (0,5)
Step-by-step explanation:
Move y to the right so that it’s alone and then type it in the calculator under y= and press graph.
A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is
an hourly wage of $22. Option B is a commission rate of 4% on weekly sales. How much does he
need to sell this week to earn the same amount with the two options?
thank you so much!
His salary for 40 hours per week with an hourly rate is hours x the rate:
40 hours x $22 per hour = $880 per week.
If he is paid commission, to make the same , he needs to make $880 iin commissions.
The commission rate is 4%, to find how much sales is needed divide the amount he needs to make ( $880) by the rate:
880/ 4% = 880/ 0.04 = $22,000
He needs to sell $22,000
A piece of machinery depreciates $6000 the first year,
$5700 the second year, and $5400 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?
Answer:
$4500
Step-by-step explanation:
it decreases $300 per yeae
Based on the rate of depreciation each year, the amount of depreciation of the machinery in the sixth year will be $300.
What is the annual depreciation amount?The depreciation in the second year is:
= 6,000 - 5,700
= $300
The depreciation in the third year is:
= 5,700 - 5,400
= $300
If this amount remains constant till the sixth year therefore, then it means that the sixth year depreciation amount is also $300.
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WILL GIVE BRAINLIEST!!!!!!!!!!
The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?
Enter a number to the nearest hundredth.
Answer:
Approximately 0.51
Step-by-step explanation:
If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.
We're given the following
P(A) = 0.65
P(A and B) = 0.33
So,
P(A and B) = P(A)*P(B)
0.33 = 0.65*P(B)
P(B) = 0.33/0.65
P(B) = 0.5076923076923
which is approximate. When we round to 2 decimal places, we get 0.51
Will give Brainlyest PLEASE HELP!!
Answer:
6.98 feet that the anwers
Lee jumped 6 times every 18 minutes. At that rate, how long, in
minutes will it take to jump 3 times
Answer:
It will take 9 minutes
Step-by-step explanation:
18:6=3
- 1 jump every 3 minutes
3 x 3 = 9
(but I'm not sure if it is correct because i did not really understood the question)
How do I solve [tex]cot(x) = -\sqrt{3}[/tex] ? I have to be able to solve it without a calculator :/
Answer:
No solution
Step-by-step explanation:
Since cos(x) e [-1,1],the equation has no solution in the Set of real numbers.
Answer:
7=7
Step-by-step explanation:
Pls help me high paying reward.
WILL GIVE BRANLIEST
In each circle, chords AB and CD intersect at point X...
1.) AX = 8 and XB = 5; Find (CX)(XD).
2.) AX = 6, CX = 9, and XD = 2; Find XB.
3.) CX = 16, XD = 4, and AX = XB; Find AB.
Answer:
We have to see the circle in order to help you
GIVING BRAINLIEST HURRY
Step-by-step explanation:
yesyes jehdbshhshshshshsgs
A biology test is worth 100 points and has 36 questions.
a. Multiple-choice questions are worth 2 points each and essay questions are worth 6 points each. How many questions of each type are on the test?
b. Your friend says that it is possible for the multiple-choice questions to be worth 4 points each. Is your friend correct? Explain.
Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
[tex]M + E= 36[/tex] --- Number of questions
[tex]2M + 6E = 100[/tex] --- Points
Solving (a): Number of question of each type.
Make E the subject of formula in [tex]M + E= 36[/tex]
[tex]E = 36 - M[/tex]
Substitute 36 - M for E in [tex]2M + 6E = 100[/tex]
[tex]2M + 6(36 - M) = 100[/tex]
[tex]2M + 216 - 6M = 100[/tex]
Collect Like Terms
[tex]2M - 6M = 100 - 216[/tex]
[tex]-4M = - 116[/tex]
Divide both sides by -4
[tex]M = \frac{-116}{-4}[/tex]
[tex]M = 29[/tex]
Substitute 29 for M in [tex]E = 36 - M[/tex]
[tex]E = 36 - 29[/tex]
[tex]E = 7[/tex]
Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
[tex]2M + 6E = 100[/tex] would be:
[tex]4M + xE = 100[/tex]
Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.
[tex]4 * 29 + x * 7 = 100[/tex]
[tex]116 + 7x = 100[/tex]
Subtract 116 from both sides
[tex]116-116 + 7x = 100 -116[/tex]
[tex]7x = 100-116[/tex]
[tex]7x = -16[/tex]
Make x the subject
[tex]x = -\frac{16}{7}[/tex]
Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
Your friend is incorrect.
The test contained 29 multiple choice questions and 7 essay questions.
Let x represent the number of multiple questions and y represent the number of essay questions.
Given that there are a total of 36 questions, hence:
x + y = 36 (1)
Also, the test is worth a total of 100 points, hence:
2x + 6y = 100 (2)
Solving equation 1 and 2 simultaneously gives:
x = 29, y = 7
Therefore the test contained 29 multiple choice questions and 7 essay questions.
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Elizabeth has a piece of ribbon that is 4.5 meters long.She wants to cut it up into pieces that are 0.25 meter long. How may pieces of ribbon will she have?
Answer:
18 pieces of ribbon
Step-by-step explanation:
total length of the ribbon is 4.5 meters
it will be divided into .25 meter long pieces
4.5 m / (.25 m / 1 piece) = 18 pieces
Elizabeth has a piece of ribbon that is 4.5 meters long.She wants to cut it up into pieces that are 0.25 meter long. How may pieces of ribbon will she have?
Solution:[tex]4.5 \div 0.25[/tex]
[tex] = 18[/tex]
Checking:[tex]18 \times 0.25[/tex]
[tex] = 4.5[/tex]
Final Answer:She will have 18 pieces of ribbon.
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What is the equation of the top line graphed below?
Answer:
I think it has to y=mx+b
Step-by-step explanation:
Can someone please answer quick this is due by 8:19.
Answer:
[tex]y = \frac{ - 1}{3} x - 8[/tex]
Step-by-step explanation:
slope intercept form is y=mx+b
m is the slope, so it's -1/3 because it goes down one unit and to the right two units. b is -8 because that is the point that it touches the y-axis
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
5y + 17 + 16y = 17
217 + 17 = 17
21y = 0
y =
Divide both sides by 21
Pls help and show workings
Answer:
may br
Step-by-step explanation:
4x+ 10=30 or 2(4x +10) =30
Answer:
see explanation
Step-by-step explanation:
Given that QS bisects ∠ PQT = 30°
∠ PQS = ∠ TQS = 15°, thus
4x + 10 = 15 ( subtract 10 from both sides )
4x = 5 ( divide both sides by 4 )
x = [tex]\frac{5}{4}[/tex] = 1.25
Adele runs a business that buys vintage clothes at estate sales and resource them online what is the best description of Adele's business?
A manufacturing business because it buys ready-made clothes
A service business because it provides a service of shopping at estate sales
A service business because it lists the products for online purchase
A merchandising business because it resells clothes every retail prices
Answer:
A service business because it lists the products for online purchase
Step-by-step explanation:
Adele does not manufacture the clothes that she sells, but rather acquires and resells them electronically. Therefore, she provides a clothing sales service, forming part of the third sector of the economy. If, on the other hand, she manufactured the clothes, her business would be manufacturing and, therefore, she would be part of the second sector of the economy, as she would be carrying out a type of industry.
Answer:
a merchandising business because it resells clothes at retail prices
Step-by-step explanation:
This is a merchandising business because Adele buys clothes at one price and resells them at a higher retail price.
This graph shows the solutions to the inequalities y > - 1/3x+5 and y< - 1/3 x -1
. Does the system of inequalities have solutions? If so, which region contains
the solutions?
Answer:
no solutions
Step-by-step explanation:
these lines, when graphed, are parallel (notice their slopes are the same)
parallel lines will never intersect or produce areas of intersection, resulting in no solutions
Since the values on both sides are different, hence the the system of inequalities have NO solutions
Solutions to inequality graphsInequalities are equation that does not include only the equal sign.
Given the following inequalities
y > - 1/3x+5 and y< - 1/3 x -1
In order to determine whether the equations have a solution, we need to equate both expressions and solve
Equate
-1/3x + 5 = -1/3x - 1
-1/3x + 1/3x = -1 - 5
0x = -6
Since the values on both sides are different, hence the the system of inequalities have NO solutions
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If you can answer this it would help a lot thanks
Answer:
1 hour and 15 minutes
Step-by-step explanation:
For the hours he had slept the last is around 7 hours and 15 minutes and the one where he slept the most is around 8 hours and 30 minutes. Subtract these two numbers in which your answer is that Tom slept for 1 hour and 15 minutes more than the one where he slept the least.
Answer:
2 hours
Step-by-step explanation: