Answer:
a=3
Step-by-step explanation:
x – 2y = 4
ax– 6y = 12
To have infinitely many solutions, the two equations have to be equal
Multiply the first equation by 3
3x -6y = 12
ax -6y = 12
a = 3
Solve |7x+21| =14x
identify the solution and extraneous solution.
a) solution: x=3;
extraneous solution x=-3
b) solution x=3;
extraneous solution: x=-1
c) solution: x=-1
extraneous solution: x=3
d) solution: x=1
extraneous solution: x=-3
Answer:answer is b
Step-by-step explanation:
can someone plz help me?
Answer:
250 pounds
Step-by-step explanation:
Fill in the given information and solve for the remaining variable.
700(1000) + 1200R = 1000000
1200R = 300000 . . . . subtract 700,000
R = 250 . . . . . . . . . . . . divide by 1200
250 pounds of Robusta beans should be in the mixture.
The surface area of a cube is 1,350 m2. Find the volume of the cube.
Answer:
3375
Step-by-step explanation:
The surface area formula for a cube is:
A = 6 a^2
We know what the area is so plug it into the equation:
1350 = 6 a^2
225 = a^2
a = 15
Now plug a = 15 into the equation for volume of a cube:
V = a^3
V = 15^3
V = 3375
Which inequality models this problem?
Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales.
What is the minimum number of weeks it will take for Josephine to make a profit?
550w 4500+500w
550w>4500+200w
Someone pls help! no one is taking me seriously and this is a test and I need help pls. First one to answer gets brainliest
Answer:
550w
Step-by-step explanation:
5.(03.06)
Given the equation
y - 4 = (x + 8) in point-slope form, Identify the equation of the same line in standard form. (1 point)
-3/4x+y = 10
3x - 4y = -40
y=3/4x+12
y = 3/4x + 10
Answer:
[tex]y = 3 \div 4x + 10[/tex]
Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:4. She needs to make 49 liters of punch for the party. How much of each ingredient does she need
Answer:
juice = 21lemonade = 28Step-by-step explanation:
given:
ratio of juice and lemonade = 3:4
She needs to make 49 liters of punch for the party.
find:
How much of each ingredient does she need
solution:
add the ratio 3 + 4 = 7
total punch divide by the total ratio
49 / 7 = 7 (coefficient)
juice 3 x 7 = 21
lemonade 4 x 7 = 28
total = 49
The perimeter of a rectangle is 28 cm and
its length is 8 cm. Find its breadth.
[tex] \longmapsto \: perimeter \: of \: rectangle = 2(l + b) \\ \\ \longmapsto2(8 + b) = 28 \\ \\ \longmapsto \: 8 + b = 14 \\ \\ \longmapsto \: b = 6cm[/tex]
Use the box method to distribute and simplify (3x – 1)(-5x + 1)
Answer:
-15x^2 +8x -1
Step-by-step explanation:
(3x – 1)(-5x + 1)=
3x(-5x) + 3x(1) - 1(-5x) -1 =
-15x^2 +3x +5x -1 =
-15x^2 +8x -1
see my other articles for quiz and assignment in my site.
just copy and paste "learningandassignments diy4pro" to google search engine.
hope it helps.
What is the quotient?
StartFraction 5 Superscript negative 6 Over 5 cubed EndFraction
Answer:
a
Step-by-step explanation:
1/5^9
What is the height of the building?
33.9 m
37.1 m
36.8 m
34.5 m
A set of twins have agreed to take part in an observational study. Each of the twins will wear a microphone that will record every interaction that they have for a week. Which choice best describes this situation?
A. Covert and structured
B. Covert and unstructured
C. Overt and structured
D. Overt and unstructured
Answer: the answer is overt and structured
Answer:
The answer is D. overt and unstructured
Step-by-step explanation:
I just took the quiz, hope this helps. Have an amazing day/night/afternoon!
PLEASE HELP
Joannie lent $200 to her sister. Four years later, her sister repaid her in full with $228. What simple annual interest rate did Joannie's sister pay?
A. 3.0%
B. 3.5%
C. 4.0%
D. 4.5%
Answer:
3.5
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
just took the quiz
Ryan left the movie theater five hours
before Aliyah. They drove in opposite
directions. Aliyah drove at 55 km/h for
one hour. After this time they were 205
km apart. Find Ryan's speed.
Answer:
yes
Step-by-step explanation:
because yes
which lines are parallel justify your answer
Answer:
the lines which donot meet each other at any point this type of lines are parallel
Step-by-step explanation:
eg ⬅️
➡️
drag each tile to the table to multiply (6x-y) (2x-y+2).
Answer:
-12x^2-8xy+12x-2y+y^2
Step-by-step explanation:
[tex](6x-y)(2x-y+2)\\=12x^2-6xy+12x-2xy+y^2-2y\\=12x^2+y^2-8xy+12x-2y[/tex]
Tavon has a gift card for $45 that loses $2 for each 30-day period it is not used. He has another gift card for $35 that loses $1.50 for each 30-day period it is not used.
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
Answer:
1
Step-by-step explanation:
can you guys help me?
Is each ordered pair a solution of 4x-3y=6? 1. (3, 2) 2. (-3, -2) 3. (0, 2) 4. (2, 0) 5. (1.5, 0)
Answer:
2.(-3,-2)
Step-by-step explanation:
(ratios)
please help
Answer:
first box is 50
second box is 4:6:12
third box is 0.6:2.4
Hope this helps ♥️♥️♥️
Everyone make mistakes...
see the solution on the picture... and identify the answer...
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford.
This Question is Incomplete
Complete Question
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Answer:
1) C. 65 + 28H < 250
2) 6 hours
Step-by-step explanation:
We are told in the question that:
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours.
Hences we have:
$65 + 28 × H
We are told that:
Anand would like to spend no more than $250,
Hence,our equation becomes:
$65 + 28H ≤ $250
Where H = Hourly rates of the plumber.
1) Which inequality describes this scenario?
From the given options and our calculations above, Option C) 65 + 28H < 250 is the correct answer
2) What is the largest whole number of hours that Anand can afford?
We would use our equation above to solve for this.
65 + 28H < 250
= 65 + 28H ≤ 250
We convert or inequality sign to equal to sign
= 65 + 28H = 250
28H = 250 - 65
28H = 185
H = 185/28
H = 6.6071428571 hours
Therefore, the largest whole number of hours that Anand can afford is 6 hours
Answer:
65+28H [tex]\leq[/tex] 250
6 hours
Step-by-step explanation: The answer from Khan
how to do this question plz
Answer:
Alan= £4.20, Connor= £2.50
Step-by-step explanation:
Please see the attached picture for full solution.
The perimeter of a square is 54cm. Find the length of a diagonal, rounding
to the nearest tenth.
A. 182.3cm
B. 19.1cm
C. 13.5cm
D. 22.4cm
Answer:
B. 19.1cm
Step-by-step explanation:
Perimeter of a square = 4 × length
Perimeter = 54cm
Perimeter of a square = 4 × length
54 = 4 × length
54 = 4l
Divide both sides by 4
l = 54 / 4
= 13.5cm
Find the length of a diagonal,
Diagonal = hypotenuse
Using Pythagoras theorem
Hypotenuse^2 = opposite^2 + adjacent^2
Opposite = adjacent in a square because of the equal length
Opposite = adjacent = 13.5cm
Hypotenuse^2 = opposite^2 + adjacent^2
= 13.5^2 + 13.5^2
= 182.25 + 182.25
Hypotenuse^2 = 364.5
Find the square root of both sides
√Hypotenuse^2 = √ 364.5
Hypotenuse = 19.09cm
To the nearest tenth = 19.1cm
B. 19.1cm
-2 (x+3)= -2x-6 is this one solution, mutipule solution, or no solution if one of the 2 plz tell me what x epual
Answer:
no solution
x=0
Step-by-step explanation:
when you do the math it all equals 0 meaning there are no solutions.
I hope this helps
Simplify: 5х - бу+ 4x
Answer: 9x - 6y
Step-by-step explanation:------------------------
is -5 rational or irrational
will give brainliest when I find out my grade
Answer:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. Therefore, -5 is rational.
Answer this math question to earn an extra 100 participation points for this week: Mr. Tuneze, Ms. Janette, and Mr. Afton went to a restaurant and the total for all their dinner was $25. Each of them gave the server a $10 dollar bill. Their change was $5 but the server could not think of how to split $5 evenly between three people, so he gave each one of them $1 and kept $2 as a tip. Here is the problem: After receiving a dollar back, each person had paid $9 for dinner for a total of 3 times $9 equals $27. Add the $2 kept by the server, the total is now $29. What happened to the remaining dollar?
Answer:
Trick question ;)
Step-by-step explanation:
The misdirection in this riddle is in the second half of the description, where unrelated amounts are added together and the listener assumes those amounts should add up to 30, and is then surprised when they do not — there is, in fact, no reason why the (10 − 1) × 3 + 2 = 29 sum should add up to 30.
The exact sum mentioned in the riddle is computed as:
SUM = $9 (payment by Guest 1) +
$9 (payment by Guest 2) +
$9 (payment by Guest 3) +
$2 (money in bellhop's pocket)
The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totalling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.
To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.
Thus, the sensible sum that we really desire is this one:
$30 = $1 (inside Guest pocket) +
$1 (inside Guest pocket) +
$1 (inside Guest pocket) +
$2 (inside bellhop's pocket) +
$25 (hotel cash register)
This sum does indeed come out to $30.
To further illustrate why the riddle's sum does not relate to the actual sum, we can alter the riddle so that the discount on the room is extremely large. Consider the riddle in this form:
Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $10. To rectify this, he gives the bellhop $20 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $6 and keep $2 as a tip for himself. Each guest got $6 back: so now each guest only paid $4; bringing the total paid to $12. The bellhop has $2. And $12 + $2 = $14 so, if the guests originally handed over $30, what happened to the remaining $16?
Now it is more obvious that the question is quite unreasonable. One cannot simply add a couple of payments together and expect them to total an original amount of circulated cash.
More economically, money is accounted by summing together all paid amounts (liabilities) with all money in one's possession (assets). That abstract formula holds regardless of the relative perspectives of the actors in this exchange.
The guests of the hotel paid $27, but also have $3 among their pockets at the story's end. Their assets are $3, and their liabilities are $27 ($30 = 27 + 3). Thus, the original total is accounted.
From the perspective of the hotel clerk, the hotel has $25 in assets and lost $5 in liabilities ($30 = 25 + 5).
From the perspective of the bellhop, his assets are $2, and his liabilities are $3 to guests and $25 to the register at the desk ($30 = 2 + 3 + 25).
To illustrate the issue through equations:
1) 10 + 10 + 10 = 30
2) 10 + 10 + 10 = 25 + 2 + 3
3) 10 + 10 + 10 - 3 = 25 + 2 + 3 - 3 (adding -3 to both sides of the equation to cancel out the +3 on the right side)
4) 10 - 1 + 10 - 1 + 10 - 1 = 25 + 2
5) 9 + 9 + 9 = 25 + 2 (obs: tip to bellhop has already been paid)
6) 27 = 27
How the riddle is deceptive comes in line 8:
7) 9 + 9 + 9 = 25 + 2
8) 9 + 9 + 9 + 2 = 25 (pushing +2 to the other side without inverting the sign)
9) 27 + 2 = 25
10) 29 != 25
How it should be:
7) 9 + 9 + 9 = 25 + 2
8) 9 + 9 + 9 -2 = 25 + 2 -2 (adding -2 to both sides of the equation to cancel the +2 on the right side, which means the bellhop returned the tip or gave a discount of $2)
9) 9 + 9 + 9 - 2 = 25
10) 27 - 2 = 25
11) 25 = 25
The puzzle should subtract the bellhop's tip from the $27 rather than add it.
Jamel is selling a gold watch that he bought 5 years ago. He paid $375 when he got the watch, however he is going to sell it for 25% more than what he original bought it for. What is the total cost he is selling it for.
Answer:
Step-by-step explanation:
Buying price = 375
Mark up = 25%
Mark up value = (25/100) * 375 = 93.75
Selling Price = buying price + markup value
Selling Price = 375 + 93.75
Selling Prince = 468.75
A quicker way (perhaps) is
Selling price = buying price (1 + 0.25)
Selling prince = 375*1.25 = 468.75
14х + 5 = 31
2х - Зу = -29
Answer:
14x + 5 = 31
x= 13/7
2x - 3y = -29
=2x - 3y +29 =0
Step-by-step explanation:
14x + 5 = 31
first step move the +5 to the other side beside the 31 it will become -5
Then subtract the numbers 31-5 =26
14x=26
Divide both sides by 14
x= 13/7
Plz Help me
15x^2 -10x-40
How do you factor?
Answer:
5(3x+4)(x-2)
Step-by-step explanation:
first you factor out a five to make it 3x^2 - 2x - 8
then you split into (3x+?) and (x+?)
then using guess and check (this is not the best method but I use it) you get
(3x+4)(x-2) and then you bring the 5 so its 5(3x+4)(x-2)
1.55 people can go on a roller coaster every 15 minutes. How many people per hour?
Answer:
23.25
Step-by-step explanation:
multiply 15x1.55 and once you get your answer divide it by 15 and see if you start back with 1.55 or the number it gives you.
