Answer:
Q1: no solution
Q2: one solution
Q3: infinite solutions
Step-by-step explanation:
Question 1
Answer: No solution
-------------------
Explanation:
Multiply both sides of the first equation by 3. Doing so leads to
3*(5x+2y) = 3*(-7)
15x+6y = -21
The second equation is 15x+6y = 21
Let's say we let z = 15x+6y
This means the system
[tex]\begin{cases}15x+6y = -21\\15x+6y = 21\end{cases}[/tex]
becomes
[tex]\begin{cases}z = -21\\z = 21\end{cases}[/tex]
but we can't have z be equal to more than one value at a time. We have a contradiction and therefore there are no solutions.
===============================================
Question 2
Answer: One solution
The solution is (x,y) = (5/6)
-------------------
Explanation:
Apply substitution
2x - 4y = 1
2x - 4(2x+1) = 1
2x - 8x - 4 = 1
-6x - 4 = 1
6x = 1+4
6x = 5
x = 5/6
Then use this to find y
y = 2x+1
y = 2(5/6)+1
y = 5/3 + 1
y = 5/3 + 3/3
y = 8/3
The one solution is (x,y) = (5/6)
===============================================
Question 3
Answer: Infinitely many solutions
-------------------
Explanation:
Multiply both sides of the second equation by 2
3x+2y = 5 becomes 2*(3x+2y) = 2*5 which turns into 6x+4y = 10
This is exactly identical to the first equation of the original system given.
So both equations represent the same thing. We have infinitely many intersection points, and infinitely many solutions.
All of these solutions are on the line 3x+2y = 5
-6 x -9 x -2=
10 x − 1 /2=
-4 x -4=
5 x -4 x -3 x -2=
Help!!!
ooooo sorry i thought it was variables
Answer:
1) -6×-9×-2
-6×-9 = 54 b/c -×- = +
54×-2 -×+ = -
= -108
2) 10×-1/2
-10/2
= -5
3) -4×-4, -×- = +
16
4) 5×-4×-3×-2
5×-4 = -20
-3×-2 = 6
-20×6
-120
hope it's helpful ❤❤❤
THANK YOU.
solve the equation by using trial and error method 6 - x =2
Answer:
x = 4
Step-by-step explanation:
The given equation is :
6 - x =2
Put x = 1 and see LHS is equal to RHS or not.
So,
6-1 ≠ 2
Put x = 2 and see LHS is equal to RHS or not.
So,
6-2 ≠ 2
Put x = 3 and see LHS is equal to RHS or not.
So,
6-3 ≠ 2
Put x = 4 and see LHS is equal to RHS or not.
So,
6-4=2
2 = 2
So, the solution of the given equation is x = 4.
Julie was a lifeguard during the summer. She earned a total of $2,176. She was paid $68 per day she worked. How many days did Julie work in the summer?
Answer:
32
Step-by-step explanation:
To answer this question, you have to divide 2,176 by 68.
Gabriel finds some dimes and quarters in his change purse. How many coins
does he have if he has 11 dimes and 8 quarters? How many coins does he have
if he has d dimes and a quarters?
8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents
Which function is increasing and has a vertical asymptote at x = 5?
A. f(x) = -In x + 5
B. f(x)= - In (x – 5)
C. f(x) = ln(x – 5)
D. f(x) = ln x + 5
(answer fast please, thanks!)
Mike and Shawna are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of oatmeal cookie dough. Mike sold 12 packages of chocolate chip cookie dough and 3 packages of oatmeal cookie dough for a total of $225. Shawna sold 6 packages of chocolate chip cookie dough and 11 packages of oatmeal cookie dough for a total of $293. What is the cost each of one package of chocolate chip cookie dough and one package of oatmeal cookie dough?
Answer:
$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough
Step-by-step explanation:
We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.
Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.
First equation for Mike: 12a + 3b = 225
Second equation for Shawna: 6a + 11b = 293
Next we isolate b from Mike's equation: b = 75 - 4a
Then we plug this equation into Shawna's equation and we get:
6a + 11(75 - 4a) = 293
Solving for a would get us 14, or $14 for one chocolate chip cookie dough.
If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.
Hope this helped!
Rachel jogged along the trail that was 1/4 of a mile long she jogged along the trail eight times how many miles did Richel jog
Answer:
Step-by-step explanation:
8 laps × (¼ mile)/lap = 2 miles
BROOOOOOOOOOOOOOO HELPPPPPPPPP
Multiply (2x+5)(4x^2-2x+3)
Answer:
8x^3+16x^2-4x+15
Step-by-step explanation:
Distribute and combine like terms.
Hope this helped :)
Water is placed in a cellular bucket on a bench The book has a diameter of 12 in and a height of 12 in The bucket is capable of supporting a max of 200 lb water weights about 64.2 ft³ how much does a water in the bucket weigh
Answer:
bucket of water = 50.397 lbs
Step-by-step explanation:
Pi(r^2)(h) = volume
3.14(6^2)(12) = 1356.48 in^3 = volume of bucket
one ft^3 = 12 x 12 x 12 = 1728 in^3
1356.48/1728 = 0.785 ft^3 (volume of bucket)
0.785(64.2) = 50.397 lbs
He just sold his bike for £1,890, and he brought it for £2,700
What fraction of the original cost did he sell the bike for ?
Mazie counted 40 black cars, 20 silver cars and 30 black cars in the parking lot. What is the ratio of white cars to the other cars in simplest forms
Answer:
If I am not wrong you may have meant 40 black cars 20 silver cars and 30 white cars.
30:20+40
30:60
3:6
ANSWER-
3:6
Hope it Helps!!
3. (07.02 MC) What is the value of y in the equation 3(3y - 12) = 0? (5 points) 4 5 6 9
3(3y-12)=0 divide both sides by 3
3y-12=0 add 12 to both sides
3y=12 divide both sides by 3
y=4
How do u write 900,000+4,000+500+3 in standard form
Step-by-step explanation:
900,000+4,000+500+3 = 904,503 :)
The point (x, y) is proportional to the point (2, 5). Select all the true statements.
(x, y) is a solution to y = 5/2X
(x, y) is a solution to y=x+3.
The ratio of Y/X is equivalent to 5/2
Point (x, y) is the same point as (5, 2).
A straight line through points (2, 5) and (x, y) will pass through the origin.
Step-by-step explanation:
(x, y) is a solution to y = 5/2X
(x, y) is a solution to y=x+3.
The ratio of Y/X is equivalent to 5/2
Point (x, y) is the same point as (5, 2).
A straight line through points (2, 5) and (x, y) will pass through the origin.
Find the missing value.
Below is ISOSCELES trapezoid RSTV. Find the value of x, then
S
T
1170
R
(2x - 7)
v
X =
degrees
9514 1404 393
Answer:
∠S = 117°∠R = 63°x = 35Step-by-step explanation:
Because this is an isosceles trapezoid, you know right away that angle S is the same as angle T, so angle S = 117°.
In order to find x, we need to know angle R. Angle R is the supplement of angle S, so ...
angle R = 180° - angle S = 180° -117°
angle R = 63°
Knowing this, we can find x:
(2x -7)° = 63°
2x = 70 . . . . . . . . . divide by °, add 7
x = 35 . . . . . . . . . . divide by 2
_____
Additional comment
Of course, angle V = angle R = 63°. We give you all of the angles in addition to the value of x, because there are obviously different versions of this question. (Your text asks for angle S; the picture asks for angle R.)
divide 72 into the ratio of 4:5
divide 72 in the ratio of 4: 5
= 16
Given the following formula, solve for t. V = ut at OA. ย + 1 t 1 B. いま O C. t a(v – u) OD. t = a(v + a) Re
Answer:
[tex]\frac{v - u}{a} = t[/tex]
Step-by-step explanation:
Given
[tex]v = u + at[/tex]
Required
Solve for t
[tex]v = u + at[/tex]
Subtract u from both sides
[tex]v - u = u - u + at[/tex]
[tex]v - u = at[/tex]
Divide both sides by 1
[tex]\frac{v - u}{a} = \frac{at}{a}[/tex]
[tex]\frac{v - u}{a} = t[/tex]
[tex]t = \frac{v - u}{a}[/tex]
Suppose that 10 years ago you bought a home for $130,000, paying 10% as a down payment, and financing the rest at 8% interest for 30 years.
Your existing mortgage (the one you got 10 years ago)
How much money did you pay as your down payment?
$13,000Correct
Submit Question Question 1
Correct Question 2
Check 1/1 pt Retries 2 Info Details
Score on last try: 1 of 1 pts. See Details for more.
You can retry this question below
How much money was your existing mortgage (loan) for?
$117,000Correct
Submit Question Question 2
Incorrect Question 3
Check 0/3 pts Info Details
Score on last try: 0 of 3 pts. See Details for more.
What is your current monthly payment on your existing mortgage?
$$343445$343445Incorrect
Note: Carry at least 4 decimal places during calculations.
Incorrect Question 4
Check 0/2 pts Info Details
Score on last try: 0 of 2 pts. See Details for more.
How much total interest will you pay over the life of the existing loan?
$$179,060$179,060Incorrect
Unattempted Question 5
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This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $102,637 left to pay on your loan. Your house is now valued at $190,000.
Your current situation
How much of the original loan have you paid off? (i.e, how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)
$
Submit Question Question 5
Unattempted Question 6
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How much money have you paid to the loan company so far (over the last 10 years)?
$
Note: the down payment is not included here, as it is paid directly to the seller
Submit Question Question 6
Unattempted Question 7
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How much interest have you paid so far (over the last 10 years)?
$
Submit Question Question 7
Unattempted Question 8
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How much equity do you have in your home (equity is value minus remaining debt)
$
Submit Question Question 8
Unattempted Question 9
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Refinancing
Since interest rates have dropped, you consider refinancing your mortgage at a lower 6% rate.
If you took out a new 30 year mortgage at 6% for your remaining loan balance, what would your new monthly payments be?
$
Submit Question Question 9
Unattempted Question 10
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How much interest will you pay over the life of the new loan?
$
Submit Question Question 10
Unattempted Question 11
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Analyzing the refinance
Notice that if you refinance, you are going to be making payments on your home for another 30 years. In addition to the 10 years you've already been paying, that's 40 years total.
How much will you save each month because of the lower monthly payment?
$
Submit Question Question 11
Unattempted Question 12
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How much total interest will you be paying (consider the interest you paid over the first 10 years of your original loan as well as interest on your refinanced loan)
$
Submit Question Question 12
Unattempted Question 13
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Now the non-computational question: Does it make sense to refinance? (there isn't a correct answer to this question. Just give your opinion and your reason)
(Note: The computer can't auto-grade this part, so it will show a score of 0 until I manually grade it)
Submit Question Question 13
Answer:
Make this question individually!
Step-by-step explanation:
Please!
2 The length of Rectangle A is 7x +11. The
length of Rectangle B is 15x - 9. Given the
two Rectangles are congruent, what is the
value of x?
Answer:
Step-by-step explanation:
If congruent the sides are equal
15x-9=7x+11
8x=20
x=20/8=2.5
Find and simplify the expression
F(3x)=(3x)^2-3
____________________________
1.) Expand [tex]\bold{(3x)^2}[/tex]:[tex]3^2x^2-3[/tex]- We do this to make the problem easier to simplify. When expanded you can easily figure out what you need to find to make it a simplified equation.
2.) Calculate [tex]\bold{3^2}[/tex]:[tex]3^2=9[/tex]- We do this because it's the only thing we can find, that would make this a simplified problem.
So your answer is [tex]\bold{9x^2-3}[/tex].
____________________________
Running out of time, Could i please get help
Answer:
D
Step-by-step explanation:
For an expansion (ax+b)^c the row that will help you is the c'th one
He is using the c'th row so look for something in the form (ax+b)^15
Only one that fits is D
If it costs £55 to buy 11 cushions, how much will it cost to buy 19?
Answer:
£95
Step-by-step explanation:
Cost of 11 cushions = £55
Unit cost of 1 cushion = 55/11 = £5 per cushion
Cost of buying 19 cushion = 19 × unit cost
= 19 × £5
= £95
Thus, it would cost £95 to buy 19 cushions
Step-by-step explanation:
11 cushions = £55
1 cushion = 55 ÷ 11
1 cushion = £5
19 cushions = £5 × 19
= £95
___________________FOLLOW ME
plis ayuda que tenga explicación y respuesta pero plissss ayuda
Answer:
3/4a-1/3b
OR
-1/3b+3/4a
Step-by-step explanation:
copy this and translate it, because I can't talk this language
add like terms 1/2a+1/4a=2/4a+1/4a=3/4a
then you write -1/3b itself because it don't have like terms
the final answer will be:
3/4a-1/3b
OR
-1/3b+3/4a
Which expressions are equivalent to 5 +(-3)(6x - 5)?
Choose all answers that apply:
A
18r - 20
B
3.x - 3
None of the above
Answer:
B i think
Step-by-step explanation:
help me with this hard question if u get it right then...
Answer:
[tex]\frac{13\pi }{2}[/tex] cm^2
Step-by-step explanation:
im a highschool student but we are doing this stuff and this is how i learned it: calculate the area of the larger sector ([tex]\frac{64\pi }{6}[/tex]) and subtract the smaller sector([tex]\frac{25\pi }{6}[/tex]) from it to get [tex]\frac{39\pi }{6}[/tex] which can be simplified to [tex]\frac{13\pi }{2}[/tex].
select all the correct answers which expressions are equal to 6^3.2^6/2^3 A. 2^3.3^3 B. 12^6 C. 2^6.3^3 D.6^3 E. 12^3
Answer:
C and EStep-by-step explanation:
Given expression:
6³×2⁶/2³Simplify:
6³×2⁶/2³ = 6³×2⁶⁻³ =6³2³ =(6×2)³ =12³The answer choices:
A. 2³×3³ = 6³ ⇒ IncorrectB. 12⁶ ⇒ IncorrectC. 2⁶×3³ = 4³×3³ = 12³ ⇒ CorrectD.6³ ⇒ IncorrectE. 12³ ⇒ CorrectAnswer these for brainliest and 20 points
Answer:
1: y = 5, x = 2, 2: x = 3, y = 1, 3: y = 4, x = -1, 4: x = -1, y = -8/5, 5: y = 4, x = -14
Step-by-step explanation:
If you look closely, you can cancel some terms, and then you can substitute
Consider a population consisting of 600 individuals with unique IDs: 001, 002, . . . , 600. Use the following string of random digits to select a simple random sample of 5 individuals. List the IDs of the individuals selected for your sample.
7 2 8 1 2 1 8 7 6 4 4 2 1 2 1 5 9 3 7 8 7 8 0 3 5 4 7 2 1 6 5 9 6 8 5 1
Answer:
121 ; 442 ; 593; 547 ; 216
Step-by-step explanation:
Using the string of random digits given below :
7 2 8 1 2 1 8 7 6 4 4 2 1 2 1 5 9 3 7 8 7 8 0 3 5 4 7 2 1 6 5 9 6 8 5 1
Range of ID's : 001, 002, . . . , 600
Since, length of Unique ID = 3
and it does not exceed 600 ; we choose each consecutive 3 length string from the random digit given which does not exceed 600
7 2 8; 1 2 1; 8 7 6; 4 4 2; 1 2 1; 5 9 3; 7 8 7; 8 0 3; 5 4 7; 2 1 6; 5 9 6; 8 5 1
Stings which do no exceed 600:
121 ; 442 ; 593; 547 ; 216 ; 596
Randomly selected ID's could by any 3 digit string from the string data given which does not exceed 600