how many solutions does the system of equations have?(1 point)
3x=-12y+15 and x+4y=5
A-one
B-two
C-infinitely many
D-none
Answer:
c
Step-by-step explanation:
First, I'll isolate the x in x+4y=5 to match with the other equation.
The new equation would be x= -4y+5
Next, we will multiply one equation by 3 and the other by -1 for both to match with the other.
-1(-12y + 15 = 3x )
3(-4y + 5 = x)
The new equations would be :
12y - 15 = -3x
-12y + 15 = 3x
Add the equations and you get
0 = 0
The equation has an infinite amount of solutions
Gravitational potential energy and kinetic energy make up what type of energy?
A. mechanical
B. chemical
C. electrical
D. sound
Answer:
A
Step-by-step explanation:
i hope this is right
2(5x+3) ? what is the question
Hey there!
“2 (5x + 3)”
• FIRST and ONLY STEP: DISTRIBUTE 2 to ALL OF YOUR NUMBERS in the parentheses
2(5x) + 2(3)
2(5x) = 10x ⬅️ FRONT number
2(3) = 6 ⬅️ BACK number
BOTH OF YOUR NUMBERS ARE POSITIVE SO WE DON’T HAVE TO CHANGE ANYTHING
Answer: 10x + 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
10x+6
Step-by-step explanation:
you have to multiply 2 times 5 then 2 times 3 then multiply 10 times x and write 6 beside it.
21x-3+20x+3=180
Solve for x
Answer:
x=4.39024390244
Step-by-step explanation:
21x-3+20x+3=180
group up like terms
41x+0=180
41x=180
/41 /41
x=4.39024390244
simplify if needed
fraction form: 180/41
I need help now :)
...........
Step-by-step explanation:
-2x² + 5x - 3 - (-7 - 9x + 5x²)
= -2x² + 5x - 3 + 7 + 9x - 5x²
= -7x² + 14x + 4.
Hence the coefficient of the x term is 14.
3. A bag contains 46 blue ballons, 30 red ballons, and 24 purple ballons.
What is the probability of choosing a red ballon as a fraction in lowest
terms ? *
A 3 out of 10
B 3 out of 7
C 1 out of 3
D 1 out of 4
PLEASE HELP! The question is in the attachment.
Answer:
x > 1
Step-by-step explanation:
15 - 1 = 14
The inequality is 15 - 1 < 14, but this is incorrect. 14 can not be less than 14. In order for the left side to be less than 14, the x value (currently representing 1) should be larger than what it currently is to make the statement true.
Therefore, x>1
Does anyone know the answer for this?
What is the value of X?
The answer is x = 11/36
lt is 100% right
Which of the following functions is graphed below?
Answer:b I’m pretty sure
Step-by-step explanation:
Hello I’m davine and I have a question
some of you might even know me from tïktök though
Answer:
C. 8
the answer is eight or C whatever
giving BRAINLEST PLEASE HELP!
Answer:
The answer to the first one should be $27.32 is what the full bill costs with tax.
The answer to the second one they added an 18% tip ontop.
Step-by-step explanation:
The explanation for the second one is 27.32*.18=4.92+27.32=32.24 meaning they gave an 18% tip.
17=-5x-6x+14
ill mark brainliest need asap
Answer:
hello
Step-by-step explanation:
[tex] - 5x - 6x = 14 - 17 \\ - 11x = - 3 \\ x = - \frac{3}{11} [/tex]
i think so
Hope it helps
Have a nice day
Pleaseee help on this❤️
Answer:
The answer is D the last one
Step-by-step explanation:
Evaluate |-15| - |-9|
Answer:
6
Step-by-step explanation:
|-15| - |-9|
15 - 9 = 6
The expression is an illustration of absolute values and signs.
The result of evaluating |-15| - |-9| is 6
Given
[tex]|-15| - |-9|[/tex]
Remove absolute brackets
[tex]|-15| - |-9| = 15 - 9[/tex]
Evaluate the expression 15 - 9
[tex]|-15| - |-9| = 6[/tex]
Hence, the evaluation of |-15| - |-9| is 6
Read more about absolute values at:
https://brainly.com/question/1301718
Hi please help me thank you!
THe correct option is the 3rd option
i need help plsssssssss
Answer:
Step-by-step explanation:
What’s the slope of this ?
Step-by-step explanation:
The two given equations have slope -1/2 and 2 and are perpendicular lines.
The lines on the graph are different from the equations at left.
Their slopes are 2 and 1/2. Since they are not opposite reciprocals, they are not perpendicular.
Given: 5x + 3 > 4x + 7.
Choose the graph of the solution set.
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct . }}}[/tex]
Step-by-step explanation:For the number line refer to the attachment :
A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-
[tex]\bf \implies 5x + 3 > 4x + 7 \\\\\bf\implies 5x - 4x > 7 - 3 \\\\\bf\implies \boxed{\red{\bf x > 4 }}[/tex]
This implies that the value of x is Greater than 4 . That is the inequality can have all the values more than 4. So when we see the given number lines we see that the first number line represents all values greater than 4 .
Hence the first graph of the solution set represents the given linear inequality.Answer: B is correct
Step-by-step explanation: Tried a on the test, got it wrong, then tried b and got it right.
Simplify 7-5x-(3+5x)
Answer:
4-10x
Step-by-step explanation:
Hey there!
7 - 5x - (3 + 5x)
= 7 - 5x - 1(3 + 5x)
= 7 - 5x -1(3) - 1(5x)
= 7 - 5x - 3 - 5x
COMBINE the LIKE TERMS
= (-5x - 5x) + (7 - 3)
= -10x + 4
Therefore, your answer should be: -10x + 4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
pls help I need it badly
Answer:
3.6
Step-by-step explanation:
I’m not entirely sure with this question! Giving brainliest answer. :)
3a+7
Step-by-step explanation:
Need help thanks .....
Ms. Watson's age is 5 years more than 2 1/2 times her son's age. She is 55 years old. How old is her son, in years?
Plzz hurry
Answer:
20 years old
Step-by-step explanation:
Let us assume that the son's age is x.
Therefore,
2.5x = 55 - 5
2.5x = 50
x = 20 years old
hope this helps :)
What is the slope intercept in equation y = x-4
Answer:
Y = x - 4
Step-by-step explanation:
it’s already in y = Mx + b form
The planet mercury makes its circuit around the sun in 88 days. Venus takes 225 days to complete it's circuit. Venus's travel time is what percent of Mercury's travel time?
Answer:
255.682%
Step-by-step explanation:
From the above question:
The planet mercury makes its circuit around the sun in 88 days.
Venus takes 225 days to complete it's circuit.
Venus's travel time is what percent of Mercury's travel time?
This is calculated as:
(Number of days Mercury take to complete it's circuit/Number of days Venus takes to complete it's circuit) × 100
= 225/88 × 100
= 2.5568181818181817 × 100
= 255.68181818%
Approximately = 255.682%
Venus's travel time is 255.682 percent of Mercury's travel time
Today Olivia has $127 in her savings account. She will deposit $5 into the account each week given x < 0 whitch function represents the amount in Olivias savings account after x weeks
Answer:
y = 127 + 5x
Step-by-step explanation:
Today Olivia has $127 in her savings account. She will deposit $5 into the account each week given x < 0
Let x = number of weeks Olivia deposits money.
y = Total pint of money that Olivia has in her account after x weeks
Hence, the function represents the amount in Olivias savings account after x weeks is ;
y = $127 + $5 × x
x < 0
y = 127 + 5x
2. Lorena is trying to choose between two different savings accounts at H-Town Bank. She will deposit $3,500 dollars and will leave the money in the account for 12 years. There will be no additional money deposited or withdrawn from the account.
Answer:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Choice 1 = X = Final Amount after 12 years = $5600
Choice 2 = Y = Final Amount after 12 years = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
Step-by-step explanation:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Initial Deposit Amount = $3500
Time period = 12 years
Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.
X = simple interest of 5% over the initial amount for 12 years.
Y = Compound interest 5% over the initial amount for 12 years.
Solution:
Let's calculate the profit for choice 1 = X
Simple interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P (1 + rt)
where, A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
Plug in the values to get the total amount.
A = 3500(1+0.05x12)
A = $5600 = final amount Lorena will get after 12 years.
Let's calculate the profit for choice 2 = Y
Compound interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]
where,
A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
n = number of times interest rate is applied or compounded. = 12
Plug in the values to get the total amount.
A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]
A = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
please help me answer this question its urgent
Answer:
Step-by-step explanation:
1). [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n[/tex]
= [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n[/tex]
= [tex]\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n[/tex]
= [tex]\frac{1}{12}n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{1}{12}+2+\frac{2}{9})n[/tex]
= [tex](\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n[/tex]
= [tex]\frac{83}{36}n[/tex]
= [tex]2\frac{11}{36}n[/tex]
2). [tex]\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}[/tex]
= [tex](\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})[/tex]
= [tex](\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})[/tex]
= [tex](\frac{4-10+3}{10})g-(\frac{5+24}{30})[/tex]
= [tex]\frac{-3}{10}g-\frac{29}{30}[/tex]
= [tex]-\frac{3}{10}g-\frac{29}{30}[/tex]
3). [tex]i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h[/tex]
= [tex]7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h[/tex]
= [tex](7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h[/tex]
= [tex](\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h[/tex]
= [tex](\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h[/tex]
= [tex]\frac{99}{14}i-\frac{5}{12}h[/tex]
O points
Maria is planning a party for her friends. Sally's Kitchen charges a fee of
$60 to set up and then $12 per plate. Jimmy's BBQ and Steak charges a fee
of $100 to set up and then $10 per plate. At how many plates will the cost
of Sally's and Jimmy's be the same? How many plates will the cost of
Sally's and Jimmy's be the same? *
Answer:
20 Plates
Step-by-step explanation:
Given that :
Sally's kitchen :
Setup cost = $60
Cost per plate = $12
Jimmy's BBQ :
Setup cost = $100
Cost per plate = $10
Let number of plates = x
Equate both and solve for x :
Sally's kitchen = Jimmy's BBQ
60 + 12x = 100 + 10x
12x - 10x = 100 - 60
2x = 40
x = 40/2
x = 20
20 plates