Answer:
Step-by-step explanation:
You have two pieces if information: the slope of a line and a point on the line. So you can use the "point-slope" formula in order to write the equation of this line. It is a fill-in-the-blank type of formula.
y - y1 = m(x - x1)
In this fill-in-the-blank formula the y1, the m, and the x1 will be filled in with the numbers you were given.
The problem gave the slope as -3/2 , this is your m. On these linear equation problems and formulas, m always stands for the slope.
So fill that in:
y - y1 = -3/2 (x - x1)
They also gave you a point, that is the (x1, y1) that you need to fill in the formula. The point was (-12, 16), so -12 will be your x1 and 16 will be your y1. Fill it in!
y - 16 = -3/2 (x - -12)
Simplify that ugly 'minus a negative' in the parenthesis.
y - 16 = -3/2 (x + 12)
If you were never told what form of equation to write, or they said "any form of the equation", then you're done!
This is in "point-slope" form.
y - 16 = -3/2(x+12) Ta-da!
If you need to change it to "slope-intercept' form then there are a few more steps.
y - 16 = (-3/2)x + (-3/2)12
y - 16 = (-3/2)x - 18
+16 +16
y = -3x/2 - 2 This is y=mx+b (called slope-intercept form)
PLLSSS HELP MEEEE!!
Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Number of tiles Bruce used: 5x + 2
Number of tiles Felicia used: 5x + 5
Answer:
No it is not possible for Bruce and Felicia to have used the same number of tiles.
Step-by-step explanation:
Bruce would have used 10x of tiles and Felicia used 7x of tiles.
No, it is not possible that Bruce and Felicia to have used the same number of tiles
The expression which shows the difference is (n² - 2)/2n, the correct option is B.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Number of tiles Bruce used: 5x + 2
Number of tiles Felicia used: 5x + 5
On equating the two expressions
5x+2 = 5x+5
There is no solution
At any value of x, Bruce would have always used 3 tiles less than Felicia.
To know more about Expression
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A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answer:
The answer is 72%
Step-by-step explanation:
54 out of 75 is a percentage of 72%.
[tex]\frac{54}{75} = 72[/tex]
Mark me brainliest if possible, it's always appreciated!
Hope this helps!
Have a great day/night/afternoon!
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Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now
Answer:
A=6
Step-by-step explanation:
M=3A
M+6=2(A+6) M+6=2A+12 M=2A+6
System of equations:
M=3A Subtract
M=2A+6
0=A-6
A=6
HURRRYYYY! I ONLY HAVE 3 MINUTES.
could some one answer this
Answer:
12
Step-by-step explanation:
So she went there 4 times. Each time, she pays for the salad itself (we don't know how much) and she also leaves a 1,50 dollar tip. All together, she paid 54 dollars.
-> TIPS: 4x 1,50= 6 (dollars)
-> SALADS: 54 (total amount she paid) - 6 (tips) = 48 (all the 4 salads she bourght)
-> 1 SALAD: 48/4=12
-----------linear equation:-------------
54 = 4 x 1,5 + 4 x c
54 = 6 + 4c
48 = 4c
12 = c
Tell whether the ordered pair is a solution to the system.
(-1, -2) 3x + 5y = 3
-9x - 8y = -9
no
yes
Answer:
no
Step-by-step explanation:
no. substitute -1 for x and -2 for y.
the first one is -1 - 10
this equals -11 not 3
A patio measures 120 cm long and 70 cm wide. If a tile measures25 cm. How many tiles will be needed to cover the patio?
Answer:
So, multiply 120 by 70 cm for the area which is 8,400. Divide that by 25 cm which would be 336. That would be your final answer. (A tip for these problems is to draw it because it makes it easier sometimes.)
Thanks Mark As Brainlist
4x + 7 = 6x + 4. what is this answer step by step?
[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]
Answer:
x= 3/2
Step-by-step explanation:
4x+7=6x+4
Step 1: Subtract 6x from both sides.
4x+7−6x=6x+4−6x
−2x+7=4
Step 2: Subtract 7 from both sides.
−2x+7−7=4−7
−2x=−3
Step 3: Divide both sides by -2.
-2x=-3
-2 -2
=
3/2
1. If the spinner below is spun once, find the
probability of a number less than 10
Answer:
5% chance
Step-by-step explanation:
There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?
Use the distance formula to answer the question:
What is the distance between (5,9), (1, 6)?
Step-by-step explanation:
The formula is Distance=√(x2-x1)²+(y2 -y1)²
x1 is 5, x2 is 1, y1 is 9, y2 is 6
D = √( 1-5)² +(6-9)²
D = √(-4)²+(-3)²
D = √16+9
D = √25
D = 5 units
If f(x)=-4x+1, what is f(-x/2)?
Answer:
[tex]f(-\frac{x}{2})=-2x+1[/tex]
Step-by-step explanation:
[tex]f(x)=-4x+1[/tex]
[tex]f(-\frac{x}{2})=-4(\frac{x}{2})+1[/tex]
[tex]f(-\frac{x}{2})=-2x+1[/tex]
Solve for x help me please****
Answer:
2x-10=x
take -10 to the other side it becomes +10
take +x to the other side where there is 2x it becomes-xevaluate 2x-x=xso x=10solve the inequality and graph its solution.
Answer:
D
Step-by-step explanation:
Hope this helped! :D
2. Daniel orders sushi from the sushi restaurant. The total bill is $80. He tips the sushi chef 20%.
How much money does the sushi chef get?
Answer:
16
Step-by-step explanation:
(20/100) * 80=16
Answer:
16
Step-by-step explanation:
$20.43 is how much tip was
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11
the bold word are tip but your answer is 16
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700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?
Plz. Helppp me what the answer???
Tony Peyton, age 20, would like to have $1,000,000 by the time he is 65 years of age. If Tony could earn 6.9% annual interest compounded monthly, how much must he invest now to have $1,000,000 by the time he is 65?
Using compound interest, it is found that he must invest $45,225 now.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
He wants to have $1,000,000 in 65 - 20 = 45 years, hence [tex]t = 45, A(t) = 1000000[/tex].6.9% annual interest, hence [tex]r = 0.069[/tex].Compounded monthly, hence [tex]n = 12[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]1000000 = P\left(1 + \frac{0.069}{12}\right)^{12(45)}[/tex]
[tex]P = \frac{1000000}{(1.00575)^{540}}[/tex]
[tex]P = 45225[/tex]
He must invest $45,225 now.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
Answer:
He must invest $45,225
7.
Which of the following is a prime number between 80 and 90?
OA. 85
B.
86
O C. 81
OD
83
HELP!!
Answer:
D) 83 is the answer. this is because it doest divide more then 2wice like the rule
Answer:
D TRUST ME
Step-by-step explanation:
A student's bank account is represented in the table shown.
1. Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.
2. What is the slope of your linear regression equation? What does it mean in the context of the situation (time and $).
3. Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.
4. Use the model to approximate how long it would take to have $50.00 in the account.
The desmos link is in the reply section below...
1.) y = 1.56x + 1.29
2.) the slope is 1.56
As the weeks are increasing, the student's balance is growing about 1.56 per week.
3.) y = 24.69
4.) 50 = 1.56x + 1.29
50 - 1.29 = 1.56x + 1.29 - 1.29
48.71 =1.56x
48.71 / 1.56
31.2
X- 7y = -21 2x -14y =-42
Solve by substitution.
This is the possible solution. If the question isn't set up right Please tell me and I'll fix what needs to be changed. All the best
the given system of equations has no Solution.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given, a system of equations:
X- 7y = -21......(1)
2x -14y =-42.....(2)
From equation 1
x = -21 + 7y
Substitute the value in equation 2
2(-21 + 7y) -14y-14y = -42
Since the given equation are same
Therefore, given equations have no Solution.
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what is the area of the square units ? W (11,2), X (11,8), Y (14,8), Z (14,2)
Answer:
18 units²
Step-by-step explanation:
Find the side lengths then multiply the length and width to find the area.
HELPPPPPP PLLSLLSLSLLSSS!!!
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.95 or the 14-ounce box for $2.81?
Answer:
It is better to buy the 10-ounce box for $1.95
Step-by-step explanation:
1.) Set up a ratio to represent this problem.
Ounces : Price
10 : 1.95
14 : 2.81
2.) Find the unit price for the first ratio.
10 : 1.95
/10 /10
1 : 0.195
This means that a one-ounce box of cereal will cost $0.12
3.) Find the unit price for the second ratio.
14 : 2.81
/14 /14
1 : 0.20071428571
This means that a one-ounce box of cereal will cost $0.20
4.) Compare prices
$0.12 < $0.20
Therefore, it is better to buy the 10-ounce box for $1.95.
It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
For a;
[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]
For b;
[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]
If my calculations are incorrect, then sorry ;/
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Jason's new business will start making a profit when he sells more than 20 items. Which graph best represents this situation?
Answer:
I- where is the graph
Step-by-step explanation:
Answer:
It's A the first graph
Step-by-step explanation:
The sum of three times a number and 5 is 32
Answer:
The number is 9.
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Let the no. be x.
[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]
2/5 of a kiddy pool was filled with water. After pouring out 5/7
of the amount of water in the pool 62 liters of water was needed to fill the pool completely. Find
the amount of water needed to fill up the empty
pool.
Answer:
The question is asking what is the volume of water in the full pool. It is 70 liters.
Step-by-step explanation:
Let P represent the volume of a full pool.
"2/5 of a kiddy pool was filled with water" can be written as:
(2/5)P.
"After pouring out 5/7 of the amount of [I assume from the 2/5P] water in the pool" can be written as:
(2/7)(2/5)P, or (4/35)P [This represents the amount of water remaining in the pool after the above shenanigans.]
The we are told that when 62 liters are added back to the pool, it is full. That can be written as:
62 + (4/35)P = P [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]
62 = (31/35)P
P = 62(35/31)
P = 70 liters
I need a fast answer because I’m about to get on a plane
Answer:
C
Step-by-step explanation:
-6 is less than 7
What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
3.98 x 10⁷Review:
What is scientific notation: It is a number that is between 1-10 and is written in exponents.
Instruction:
We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.
Solution:
=> 39,800,000 = 398 x 10⁵This is still not in scientific notation form because it is not between 1-10. Let's simplify further.
=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.
Conclusion:
Therefore, 3.98 x 10⁷ is the number in scientific notation.
[tex]BrainiacUser1357[/tex]
Can someone explain how to do this:
If you put 10 in to the function f(x) = 2x, what would be the output?
--
Im so lost-
Answer:
It would be 2 (10)
Step-by-step explanation:
If you replace x with 10 then you have a multiplacation problem and the output of the answer is 20
what inequality does the number line graph represent
Answer: what number line
Step-by-step explanation: