Answer:
y = -2x-1
Step-by-step explanation:
The formula for a line is [tex]y-y_{1} = m(x-x_{1})[/tex].
Plug in the information given in the problem: y-(-7) = -2(x-3)
So you get y+7 = -2x+6.
The final form you want needs to be equal to y (that means you want y by itself on the left side of the equals), so subtract 7 from both sides.
You get y = -2x-1
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})~\hspace{10em} m = -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-2}(x-\stackrel{x_1}{3}) \\\\\\ y+7=-2x+6\implies \blacktriangleright y=-2x-1 \blacktriangleleft[/tex]
pls help!! please tell what the independent and dependent variables are, and a function that describes the situation. I will give brainly to whoever answers these!
Step-by-step explanation:
Part A:Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:
The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.
An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.
The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.
Part B:The function that represents the given situation is:
C(x) = 5x + 35
In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:
C(x) = 5x + 35
60 = 5x + 35
Subtract 35 from both sides:
60 - 35 = 5x + 35 - 35
25 = 5x
Divide both sides by 5 to solve for x:
[tex]\frac{25}{5} = \frac{5x}{5}[/tex]
x = 5
Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.
Note:
Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.
PLEASE HELP the information is below
Answer:
yellow: x=6
red: y=4
blue: y=-2
Step-by-step explanation:
Need asapppppppp!!!!!
Answer:
122 degrees-
Step-by-step explanation:
[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]
Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).
Angle AOC is a right angle because angle COE is a right angle.
The ratio of flour to sugar in a recipe is 3 cups to 2 cups. If this amount makes 3 dozen
cookies, how many cups of sugar are required in order to make 24 cookies?
Answer:
10 cups
Step-by-step explanation:
The ratio of flour to sugar to make 3 dozen cookies is 3/2 then a total of 1.33 cups of sugar is required to make 24 cookies.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data provided in the question,
3 dozen = 12 × 3 = 36 cookies.
2 cups of sugar are required to make 36 cookies
Let x cup of sugar is required to make 24 cookies.
36 cookies = 2 cups
24 cookies = x cups
Cross-multiply both the equations above
x = (24 × 2)/36
x = 1.33 cups.
To know more about arithmetic operations:
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Given: HG I HI, EI I HI ZEHI~= ZGIH
Prove: ∆GHI =~ ∆EIH
[tex]\red{\rule{45pt}{999999pt}}[/tex]
Pls due now I will give brainliest if right
Answer:
(-2,1)
Step-by-step explanation:
i graphed it ..its right
Explanation:
The graph is shown below.
The line y = 2x+5 goes through (0,5) and (1,7).
The line y = (1/2)x+2 goes through (0,2) and (2,3)
The two lines intersect at exactly (-2, 1) which is the solution to the system.
it has been suggested that the percentage of drivers in the us that use a blinker when changing lanes is58% you plan to observe 50 cars during a lane change. What type of distribution could you use to determine the number of cars you will observe before finding a car the does not use a blinker during a lane change?
Since the number of trials is not fixed, an inverse binomial distribution is used.
For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.
However, we are counting the number of trials until observing a car that does not use a blinker during a lane change, hence, it is an inverse binomial variable.A similar problem is given at https://brainly.com/question/25644451
PLZZ HELP!! I just dont understand it correctly
Answer:
Aidan can expect to save about $17.63 each week.
Step-by-step explanation:
We have an equation: y = 17.63x + 27.52. This equation is in slope-intercept form. In slope-intercept form, the value before the x (in this case, 17.63) is the slope, and the value added to the slope (in this case, 27.52) is the y-intercept.
Right now, though, we only need to focus on the slope. The slope represents a change in y over a change in x. Our y-values represent total amount saved, and our x-values represent number of weeks. Y over x... so, total amount saved over a certain number of weeks.
The first answer seems to match this the best. Remember that the slope represents how much is saved per week, and our slope is 17.63. So, the first answer (Aidan can expect to save about $17.63 each week) is correct. If you have any more questions or that was confusing at all, let me know! :)
if line 1 has a slope of -4 and line 2 has a slope of 1/4, they are parallel
True
O False
Evaluate 4c - 3
When c = -2
Answer:
-11
Step-by-step explanation:
Answer: -5
Step-by-step explanation:
4*-2=-8
-8 -3=-5
If
x
=
2
and
y
=
6
, evaluate the following expression:
2
(
y
−
x
)
Answer:
8
Step-by-step explanation:
x =2, y=6
2(y-x)
#subsitute the variables with their values
2*(6-2)
2*4
8
Alternative(don't do it this way, it's unnecessary but it can be done):
x =2, y=6
2(y-x)
2y - 2x
(2*6) - (2*2)
12 - 4
8
The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers
Answer:
tag archives and records and counting the days
Answer:
1st number is 6
2nd number is 30
3rd number is 33
Step-by-step explanation:
Let x be the first number.
The second of three numbers is 5 times the first = 5x
The third number is 3 more than the second = 5x + 3
If the second is decreased by twice the third, the result is -21.
Multiply the third number by 2.
2(5x + 3)
= 10x + 6
Subtract the second number to it.
(5x)-(10x + 6) = -21
-5x - 6 = -21
Use APE or Addition Property of Equality
-5x = -21 + 6
-5x = -15
Use DPE or Division Property of Equality to get the value of x
[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]
x = 3
Now put the value of x in the equation
first number(x) = 6
second number(5x) = 5(6) = 30
third number(5x + 3)
5(6) + 3
30 + 3 = 33
Kobina sells apple pies for 10gh each.kojo sells beverages for ghc1 each.if kobina sells 23 apple pies and kojo sells 17 beverages,what is the total in sales for both producs combined?
Answer:
680
Step-by-step explanation:
Based on the given conditions, formulate: 17 × ( 23 + 17 )
Calculate the sum or difference: 17 × 40
Calculate the product or quotient: 680
get the result: 680
Answer: 680
(Hope this helps can I pls have brainlist (crown)☺️)
A number n is a prime factor of 28 and 63
Answer:
7
Step-by-step explanation:
The factors of 28 and 63 are
28 : 1, 2, 4, 7, 14, 28
63 : 1, 3, 7, 9, 21, 63
The common factors are 1 and 7
7 is a prime factor of both 28 and 63
Simplify.
81‾‾‾√
18
9
−3
−18
9514 1404 393
Answer:
(b) 9
Step-by-step explanation:
Maybe you want to simplify ...
[tex]\sqrt{81}=\sqrt{9^2} =\boxed{9}[/tex]
The area of a triangular flower bed in the park has an area of
120 square feet. The base is six feet shorter than three times the height. What are the base and height of the triangle?
Answer:
b = 24 ft
h = 10 ft
Step-by-step explanation:
120 = ½hb
120 = ½h(3h - 6)
240 = h(3h - 6)
240 = 3h² - 6h
80 = h² - 2h
0 = h² - 2h - 80
0 = (h - 10)(h + 8)
h = 10 ft or -8 ft
we ignore -8 as it makes no sense for a triangle side length.
b = 3(10) - 6 = 24 ft
Please find the correct answer I will give brainliest and 4 stars.
Answer:
you're correct
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2333 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 157 232 Boot Camp 259 258 Boxing 282 215 Spinning 161 235 Yoga 271 263
The likelihood that a class attendee is a non-member of the gym taking a barre class or a member of the gym taking a boot camp class is 0.009.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The marketing team has gathered data from a random month, in which there were 2039 class attendees.
The probability that a class attendee is a non-member of the gym and is attending a barre class
= 185/2039
= 0.09
The probability that a class attendee is a member of the gym and is attending a boot camp class
= 204/2039
= 0.10004
The probability for both the event would be
= 0.09 x 0.10004
= 0.009
The complete question is attached with the answer below.
Learn more about probability here;
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**PLEASE ANSWER OMG LITERALLY EVERY TIME I TRY POSTING A QUESTION NO ONE EVER ANSWERS**
The rectangle below is dilated by a scale factor of 3/2. Find the area of the dilated rectangle.
Answer:
108 square units
Step-by-step explanation:
When the dimensions are multiplied by 3/2, they become ...
8·3/2 = 12
6·3/2 = 9
Then the area of the dilated figure is ...
A = LW
A = 12·9 = 108 . . . . square units
_____
Additional comment
If you're paying attention, you see that the original area is multiplied by the square of the scale factor.
A = LW
A = (8·3/2)(6·3/2) = (8·6)·(3/2)²
This is generally true for the area of scaled figures: the original area is multiplied by the square of the scale factor to get the area of the scaled figure.
someone help me with these 2 questions asap!!
Step-by-step explanation:
we would have needed only one corresponding side length. because for similar triangles all corresponding lines (like sides but also heights and so on) would be related in size by using the same scaling factor.
going from the large to the small triangle : what do I need to multiply the large side length with to get the small one ?
27 × x = 9
x = 9/27 = 1/3
that is the scale factor.
What is the length of the unknown leg in the right triangle?
Answer:
a is 20 cm long
Step-by-step explanation:
I used a triangle solver to get that length, sorry I can't actually prove it step by step
hope this helps!
Consider the steps to solve the equation.
2
5
(
1
2
y + 20 ) −
4
5
=
9
20
(2y − 1)
Distribute:
1
5
y + 8 −
4
5
=
9
10
y −
9
20
What is the next step after using the distributive property?
A. Use the multiplication property of equality to isolate the variable term on one side of the equation.
B. Use the multiplication property of equality to isolate the constant on one side of the equation.
C. Combine the like terms on the right side of the equation.
D. Combine the like terms on the left side of the equation.
Answer:
The answer is D
Step-by-step explanation:
D
Yes, but on this site, how can I make sure that this answer is correct or wrong, please, I don't know?
Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm
Answer:
[tex] 324.72 {cm}^{3} [/tex]Step-by-step explanation:
Given,
Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm
As we know,
Volume of a cuboid = length × breadth × height
Therefore,
Volume of the given cuboid
= 3.6cm × 8.2cm × 11cm
(On multiplying)[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]
(On further multiplying)[tex] = 324.72 {cm}^{3} (ans)[/tex]
Hello there! :)
V=lwh (length times width times height)
We are given that:
Length=3.6 cm
Width=8.2 cm
Height=11 cm
Plug the values into the formula for volume:
V=lwh
V=(3.6)(8.2)(11)
Multiply:
V=324.72 cm³ (cubic centimeters)
Remember, volume is measured in cubic centimeters.
Hope it helps. Please let me know if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature :)[/tex]
5. A 32 foot tree casts a 60 foot shadow as shown below. A man next to the tree casts a 12 foot shadow. How tall
is the man? Justify your solution
Answer:
Step-by-step explanation:
The shadow length will be proportional to height
12 / 60 = h / 32
h = 12(32)/60 = 6.4 ft or 6 ft 4.8 inches
A family buys a studio apartment for $180,000. They pay a down payment of $27,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $9,000 down payment be
Answer:
down is $153000 while purchase price is $144000
Like always, I need help :(
Answer:
The equation of the line is: x = 0
Simple Arcs and Sectors question attached. First person to answer correctly gets 50 points. Good Luck!!
Step-by-step explanation:
a=12/56°
b=14/65°
c=238°
A chemist has three different acid solutions. The first acid solution contains 20 % 20% acid, the second contains 30 % 30% and the third contains 60 % 60% . They want to use all three solutions to obtain a mixture of 90 90 liters containing 35 % 35% acid, using 2 2 times as much of the 60 % 60% solution as the 30 % 30% solution. How many liters of each solution should be used
Answer:
Step-by-step explanation:
37,4gam
Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?
Answer:
80 dollars is the correct answer
Answer:
Step-by-step explanation:
1050=1000(1+.5*i)
i= 10%