Answer:
y= x -2
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept
Given equation: y= x +4
This equation is already in the slope-intercept form, thus its slope can be found from the coefficient of x.
Slope= 1
[tex]\textcolor{steelblue}{\text{Parallel lines have the same slope.}}[/tex]
Slope of unknown line= 1
Substitute the m= 1 into y= mx +c:
y= x +c
To find the value of c, substitute a pair of coordinates the line passes through into the equation.
When x= 5, y= 3,
3= 5 +c
c +5= 3
c= 3 -5
c= -2
Thus, the equation of the line is y= x -2.
A theater is selling tickets for a musical. One attendee purchased 2 adult tickets and 5 student tickets, and the total cost was $64. Another attendee purchased 3 adult tickets and 4 student tickets, and the total cost was $68. Write a system of equations to find the price of an adult ticket and a student ticket. Let x be the price of an adult ticket and y be the price of a student ticket.
Answer:
Price of an adult ticket: 12$
Price of a student ticket: 8$
Step-by-step explanation:
Let x be the price of an adult ticket, and y be the price of a student ticket.
We have the equation:
2x + 5y = 64
3x + 4y = 68
=> x - y = 4
2x + 5y = 64
=> x = 4+y
2*(4+y) + 5y = 64
=> x = 4+y
8 + 2y + 5y = 64
=> x = 4 + y
7y = 56
=> x = 4 + y
y = 8
=> x = 12
y = 8
Solve and will mark brainliest
Answer:
24 degrees
Step-by-step explanation:
24 degrees because
angle a is 24 degrees
and since its the middles and main angle
24 degrees is the answer
Kushbu decides to order a combination platter at her favorite restaurant. The platter comes with a choice of 2 entrees and 3 sides.
If there are 8 entrees and 6 sides available, how many different meal combinations could she order?
Enter your answer as an integer, like this: 42
Answer:
560
Step-by-step explanation:
To find the total combination you have to multiply the combination of entrees with combination of sides. U have to use the nCr equation to find these separate equations. n is number of items in total of the set and r is the number of items you want to choose from the set.
See the pic below for work
An investor just purchased a rectangular 1-acre retail lot for $250 a frontage foot. If she paid $100,000 total, what was the depth of the lot?
What are the solutions to the system of equations graphed below?
A. (-2, 0) and (6,0)
B. (-3, -3) and (0,6 )
C. (-3,3) and (6,0)
D. (-2,0) and (2,0)
Answer:
looking at the straight line, it touches the axis at (-2,0) and (6,0)
Step-by-step explanation:
Help help help help math math
Answer:
the answer in the question mark that was in the green box ???
SOLVE THE INEQUALITY FOR X - 27 < 12
Answer:
x < 39
Step-by-step explanation:
x - 27 < 12
Add 27 to both sides.
x - 27 + 27 < 12 + 27
x < 39
[tex]\qquad\qquad\huge\underline{{\sf Answer☂}}[/tex]
Let's solve the inequality ~
[tex]\qquad \sf \dashrightarrow \: x - 27 < 12[/tex]
[tex]\qquad \sf \dashrightarrow \: x < 12 + 27[/tex]
[tex]\qquad \sf \dashrightarrow \: x < 39[/tex]
Simplify sin^2x+sin^2x+tan^2x
Answer:
Step-by-step explanation:
Please solve the first three question with explanation
Answer:
first one is b, second one is c
Step-by-step explanation:
3-4x<=11
-4x<=11-3
-4x<=8/:(-4)
x>=-2
Find the missing information for the triangle.
*not drawn to scale
• Make sure to find the missing angle measure and the 2 missing side
lengths.
missing angle:
180° - 90° - 30°
180° - 120°
60°
missing sides:
(a)
[tex]\rightarrow \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\rightarrow \sf tan(30)= \dfrac{4}{adjacent}[/tex]
[tex]\rightarrow \sf adjacent= \dfrac{4}{tan(30)}[/tex]
[tex]\rightarrow \sf adjacent= 4\sqrt{3}[/tex]
[tex]\rightarrow \sf adjacent= 6.93 \ cm[/tex]
(b)
[tex]\sf \rightarrow sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\sf \rightarrow sin(30)= \dfrac{4}{hypotensue}[/tex]
[tex]\sf \rightarrow hypotensue= \dfrac{4}{ sin(30)}[/tex]
[tex]\sf \rightarrow hypotensue= 8 \ cm[/tex]
Answer:
m∠X = 60°
BX = 8 cm
BM = 4√3 cm
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
Given:
m∠B = 30°m∠M = 90°⇒ m∠B + m∠M + m∠X = 180°
⇒ 30° + 90° + m∠X = 180°
⇒ 120° + m∠X = 180°
⇒ m∠X = 180° - 120°
⇒ m∠X = 60°
Using the sine rule to find the side lengths:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles, and a, b and c are the sides opposites the angles)
Given:
m∠X = 60°m∠B = 30°m∠M = 90°MX = 4 cm[tex]\implies \dfrac{4}{\sin 30\textdegree}=\dfrac{BX}{\sin 90\textdegree}=\dfrac{BM}{\sin 60\textdegree}[/tex]
[tex]\implies BX=\sin 90\textdegree \cdot\dfrac{4}{\sin 30\textdegree}[/tex]
[tex]=1 \cdot \dfrac{4}{\frac12}[/tex]
[tex]=1 \cdot 4 \cdot 2[/tex]
[tex]=8 \textsf{ cm}[/tex]
[tex]\implies BM=\sin 60\textdegree \cdot\dfrac{4}{\sin 30\textdegree}[/tex]
[tex]=\dfrac{\sqrt{3}}{2}\cdot \dfrac{4}{\frac12}[/tex]
[tex]=\dfrac{\sqrt{3}}{2}\cdot 4 \cdot 2[/tex]
[tex]=4\sqrt{3} \textsf{ cm}[/tex]
a
Laura and Martin obtain a 25-year, $90,000 conventional mortgage at 9.5% on a house selling for $120,000. Their monthly mortgage payment, including principal and
interest, is $786.60.
a) Determine the total amount they will pay for their house.
b) How much of the cost will be interest?
c) How much of the first payment on the mortgage is applied to the principal?
Part a)
The home value is $120,000 and they get a loan for $90,000.
This must mean the down payment was 120,000 - 90,000 = 30,000 dollars. This is the payment made up front.
The mortgage has a monthly payment of $786.60 which is done for 25 years = 25*12 = 300 months. They pay back 786*300 = 235,800 dollars.
Therefore, the total amount they pay for the house is:
downPayment + loanRepayment = 30,000 + 235,800 = 265,800
Answer: $265,800=======================================================
Part b)
Refer to the previous part. Laura and Martin pay back $235,800 after being loaned $90,000
The total amount of interest is 235,800 - 90,000 = 145,800 dollars.
Answer: $145,800=======================================================
Part c)
The annual interest rate is 9.5% which converts to the decimal form 0.095
Divide this over 12 to get the monthly interest rate in decimal form.
0.095/12 = 0.00791667 approximately
Then multiply this with the initial balance of $90,000
90,000*0.00791667 = 712.5003
This rounds to 712.50 and this represents the interest for the first month.
This leads to:
principal = monthlyPayment - interest
principal = 786.60 - 712.50
principal = 74.10
It is unfortunately common practice that the starting monthly payments will be mostly interest. As time goes on, the increase payments decrease because they are tied directly to the remaining balance.
Answer: $74.10Latoya just bought a refrigerator for $931. She paid $139.80 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answer:
$197.80
Step-by-step explanation:
$931.00 - $139.80 = $791.20
$791.20 / 4 equal installments = $197.80
Pleaseee help!
What is 8^2+x^2=17
Answer:
6.856
Step-by-step explanation:
8² + x² = 17
8² - 17 = -x²
64 - 17 = -x²
-47 = -x²
x² = 47
x = 6.856
The fence around Jan's backyard
is 45 feet long and 30 feet wide.
What is the perimeter of the fence?
What is the area of the yard?
Answer:
Perimeter : 150
Area : 1,350
Hi can someone may help me with this problem I'm struggling with
ASSP
Answer:
see attached
cost = 33
Step-by-step explanation:
Kruskal's Algorithm is a "greedy" algorithm that adds the next minimum-weight edge to the tree, provided that it does not create a loop.
__
The minimum-weight edge in the graph is DF, with weight 1.
The next minimum-weight edge is GH, with weight 2.
The next minimum-weight edge is AB, with weight 3.
The next minimum-weight edge is EF, with weight 4.
Edge DE is the next lowest-weight, but it creates a loop (DEF), so we ignore it.
BC is the next edge we'll add to our tree.
FG is the next edge we'll add to the tree.
Edge DG creates a loop, so we ignore it.
Edge FH creates a loop, so we ignore it.
CF is the next edge we'll add to the tree. This completes the minimum spanning tree using Kruskal's Algorithm.
Included edges are AB, BC, CF, DF, EF, GF, GH.
The cost of the tree is 3+6+10+1+4+7+2 = 33.
Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below
Based on the results above, predict the number of times a 3 would be rolled if Stacy performs the experiment a total of 480 times
Answer:
5/9
Step-by-step explanation:
Let the probability of getting a multiple of 3 is "A"
Let the probability of getting an even number is "B"
Total number of outcomes=36
Total number of favourable outcomes of either a multiple of 3 or an even number are
(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)
That is we have 20 favourable outcomes
Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=
total number of outcomes
favourable outcomes
Therefore, after substituting the values we get
probability=\frac{20}{36}probability=
36
20
After simplification we will get
probability=\frac{5}{9}probability=
9
5
X squared minus 5x equals 0
HELP IF U ACTUALLY KNOW THE ANSWER QUICK PLEASE
Answer: D
Step-by-step explanation:
16+18+19+21+21=95
95/5 is 19
95+37=132
132/6=22
Write the percent as a decimal.
78% =
Answer:
.78
Step-by-step explanation:
i belive its .78 as you can multiply any given number by both and get the same answer
Sketch a graph of − 3 x − y = − 4
Answer:
Step-by-step explanation:
Subtract. Write your answer in simplest for. 2/3 - 3/8
The Adventure Zone amusement park asked all of their employees who attend college how many hours of
homework they had per week and determined that they had an average of 24 hours of homework per
week.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
24% of all of the amusement park employees who attend school have homework each week.
24% of all of the amusement park employees who attend college have homework each week.
The amusement park employees who attend college have an average of 24 hours of
homework per week, but we cannot conclude anything about the percent of the population
who have homework.
The amusement park employees who attend college have an average of 24 hours of homework per week, but we cannot conclude anything about the percent of the population who have homework.
What is the valid conclusion?The survey was to determine the average number of hours per week for employees that attended college. The result was that college students had an average of 24 hours of homework per week.
To learn more about surveys, please check: https://brainly.com/question/18521835
Answer:
the last
answer
Step-by-step explanation:
Help picture below problem
Answer:
∠s = ∠v
Step-by-step explanation:
Supplementary angles add up to 180°
∠s + ∠v = 180
90 + ∠v = 180
∠v = 180 - 90
∠v = 90°
⇒∠s ≅ ∠v
If 10 mm = 1 cm, how many millimeters are in 22 centimeters?
Group of answer choices
Answer:
220 millimeters
Step-by-step explanation:
If you take 22 cm * 10mm/1cm you get 220 mm
Please rate!
You spent $24 more than Pam. If you spent $82, how much money did Pam spend?Write and solve an equation.
Answer:
58
Step-by-step explanation:
its basically saying that pam spent 24 dollars less than you. soo 82 - 24 = 58
On a circular playground, the distance from its center to the edge of the playground is 36 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
113.04 ft
B.
226.08 ft
C.
4,069.44 ft
D.
16,277.76 ft
Answer:
[tex]\fbox{\fbox{Circumference = 226.08 feet}}[/tex]
Step-by-step explanation:
Given:
distance from center to the edge(Radius) of playground = 36 feet
To find:
Circumference of playground=?
Solution:
we know that,
Circumference of circle = 2πr
substituting the radius value in above formula,
[tex]2 \pi r = 2 \times 3.14 \times 36 = 226.08 \: ft[/tex]
[tex]\fbox{\fbox{Circumference = 226.08 feet}}[/tex]
Thanks for joining brainly community!
Answer: 226.08ft
Step-by-step explanation: we are finding the circumference of a circle so we will make 3.14 times 2 times 36 as it is a radius I think .
3.14 ×2×36=226.08 and the units is feet . Hope it helps buddy
Subtract 55 from the sum of 234 and 8
Solve 2 a 2 − 5 a − 25 = 0 by factoring. Enter your answers below a = or a =
Answer:
a=5, a=-2.5
Step-by-step explanation:
Given:
[tex]2 a^2 - 5 a - 25 = 0[/tex]
Solution:
[tex]a_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-25\right)}}{2\cdot \:2}[/tex]
[tex]a_{1,\:2}=\frac{-\left(-5\right)\pm \:15}{2\cdot \:2}[/tex]
[tex]a_1=\frac{-\left(-5\right)+15}{2\cdot \:2},\:a_2=\frac{-\left(-5\right)-15}{2\cdot \:2}[/tex]
[tex]a=5,\:a=-2.5[/tex]
~Lenvy~
.325 equals what fraction
Answer:
according to desmos scientific calculator, the answer is 13/40
What is the slope-intercept equation
for the following line?
Answer:
y=-1/3 x+1
Step-by-step explanation: