Answer:
c
Step-by-step explanation:
Answer:
1236835728943470
Step-by-step explanation:
The midpoint of a segment is (6,−4) and one endpoint is (13,−2). What are the coordinates of the other endpoint?
Answer:
(-1,-6)
Step-by-step explanation:
Answer:
The answer would be (-1,-6)
Step-by-step explanation:
(13 + x)/2 = 6
13+x= 12
x = -1
~~~~~~~~~~~~~~~
(-2 + y ) / 2 = -4
-2 + y = -8
y = -6
The length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?
The Answer:
Width = 6
Step-by-step explanation:
Let width be w
(3w + 8) x w = 156
3 \(w^{2}\) x 8n - 156 = 0
(w + 8 x 6) (w-6) = 0
w = 6
Alice finds shirts on sale for $18.99.She buys twelve how much money does she spend?
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Alice spent $227.88 on 12 shirts
Step-by-step explanation:
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Step-by-step explanation:
8/11 when rounded is closer to 1 than 0? True False
Answer: False?
Step-by-step explanation:
Answer:
It is closer to \(1\) than \(0\), so the statement is True.
Step-by-step explanation:
Step 1: Finding the decimal form of \(\frac{8}{11}\)
Upon simplification on a calculator, we can see that the exact value of \(\frac{8}{11}\) is:
\(0.7272727273\)
Let's round this to \(0.73\) for an easier time.
Step 2: Identifying the value's difference from 1 and 0
We have found the value of the fraction to be \(0.73\).
If we subtract the value from \(1\), we get:
\(1-0.73\\=0.27\)
If we find the difference between it and \(0\), we get:
\(0.73-0\\=0.73\)
As we can see, the value is \(0.27\) units away from \(1\), but is \(0.73\) units away from \(0\).
We can clearly see that it is closer to \(1\), so the statement is True.
somebody please help I NEED HELP ASAP
Answer:
Package A: $8.7 per person
Package B: $7.7 per person
Package B is beest deal
Step-by-step explanation:
\(\text{The cost of package A}=\dfrac{104.40}{12}=\$8.7\text{per person}\\\text{The cost of package B}=\dfrac{184.80}{12}=\$7.7\text{per person}\)
The cost of package A is greater than cost of package B.
Hence, the cost B is a best Deal.
how are u alive plss hlp
.
Answer:
I'm alive because of Godddddddddddddd
K-12 Grade 7th
Either Table C or Table D shows a proportional relationship.
Plot all the points from the table that shows a proportional relationship.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -1 to 11 with ticks spaced every 1 unit(s).
The vertical axis goes from -1 to 11 with ticks spaced every 1 unit(s).
Table C
x 2 4 6 8
y 1 3 5 7
Table D
x 2 6 8 10
y 1 3 4 5
All of the points from Table D which shows a proportional relationship has been plotted in the graph shown in the image attached below.
What is the graph of a proportional relationship?The graph of any proportional relationship is represented by a straight line with the data points passing through the origin (0, 0) and it can be modeled by the following linear equation:
y = kx
Where:
k is the constant of proportionality.y and x represent the variables in a proportional relationship.Next, we would determine the constant of proportionality (k) for the data points contained in table D as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 1/2 = 3/6 = 4/8 = 2/10
Constant of proportionality, k = 1/2 or 0.5.
In conclusion, a linear equation for this proportional relationship can be correctly written and plotted using an online graphing calculator as follows:
y = kx
y = 0.5x
Read more on proportional relationship here: brainly.com/question/20167968
#SPJ1
decide whether it would be more convenient to solve the system of equations by substitution or elimination. x = 5y/3 "-9" 6x - y/4 = "-14"
ANSWER
By Substitution
STEP BY STEP EXPLANATION
\(\begin{gathered} x\text{ = }\frac{5y}{3}\text{ - 9} \\ 6x\text{ - }\frac{y}{4}\text{ = -14} \end{gathered}\)Now, let's apply the substitution method
\(\begin{gathered} 6(\frac{5y}{3}\text{ - 9) - }\frac{y}{4}\text{ = -14} \\ 6(\frac{5y\text{ - 27}}{3})\text{ - }\frac{y}{4}\text{ = -14} \end{gathered}\)\(\begin{gathered} 2(5y\text{ - 27) - }\frac{y}{4}\text{ = -14} \\ \frac{8(5y\text{ - 27) - y}}{4}\text{ = -14} \\ 40y\text{ - }216\text{ - y = }-56 \\ 39y\text{ = -56 + 216} \\ y\text{ = }\frac{160}{39} \end{gathered}\)Let's try Elimination method now to see the difference
\(\begin{gathered} x\text{ = }\frac{5y}{3}\text{ - 9} \\ 3x\text{ = 5y - 27} \\ 5y\text{ - 3x = 27}\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots.(1) \end{gathered}\)\(undefined\)What is -2(3X +12 Y -5-17 X -16 Y +4) Simplified
Answer:
-2 (3x +12 Y -5 -17 X -16 Y +4)
Step-by-step explanation:
omg.. here we go..
-2 (17) i THinK im not sure hope this helped
what is the range of the ordered pairs shown in the graph?
D
Step-by-step explanation:
The points dx are at -1, 1, 2 and 3 so it must be D
Answer:
To find the range,
first see the value of each points -
first = (3,5)
second = (2,0)
third = ( 1,3)
fourth, ( -1, 2)
let's take X Axix to find the range
so the range is ( -1, 1 , 2 ,3)
Option D is correct
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?A. (-5, -3)B. (-5, 3)C. (5, -3)D. (3, -5)E. (3, 5)
The point (-5,3) is in the same quadrant as the fourth vertex of the square.
The given points are representing the points in the quadrant of the cartesian coordinate system. According to this any location on a 2-D plane is represented by 2 numbers, x and y, where x represents the horizontal displacement from the origin of the plane and y represents the vertical displacement from the origin.
Since the given points are the vertices of a square they must be in the form (c, d), (c, -d), (-c, -d), and (-c,d). So, from the given points only the B (-5,3) satisfies the given condition and forms the square.
Learn more about quadrants on
https://brainly.com/question/29298581?referrer=searchResults
#SPJ4
Some boys and girls are waiting for school buses. 25 girls get on the first bus. The ratio of boys to girls at the stop is now 3:2. 15 boys get on the second bus. There are now the same number of boys and girls at the bus stop. How many students were originally at the bus stop?
Answer:
100
Step-by-step explanation:
Forming algebraic equations and solving:
Let the number of boys originally at the stop = 'x'
Let the number of girls originally at the stop = 'y'
25 girls get on the first bus.
⇒ The number of girls now at the stop = y -25
Ratio of boys to girls:
\(\sf \dfrac{x}{y -25}= \dfrac{3}{2}\\\\Cross \ multiply,\\\\2x = 3*(y- 25)\\\\2x = 3y - 3*25\\\\2x = 3y - 75 ------\)(I)
15 boys get on the second bus.
Now, the number of boys at the stop = x - 15
Number of girls at the stop = y - 25
Ratio of boys to girls,
\(\sf \dfrac{x - 15}{y -25} = \dfrac{1}{1}\\\\Cross \ multiply, \\\\x - 15 = y -25\\\\\)
x = y -25 + 15
x = y - 10
Plugin x = y - 10 in equation (I)
2*(y-10) = 3y -75
2y - 20 = 3y -75
-20 = 3y - 75 - 2y
-20 = y -75
-20 +75 = y
\(\sf \boxed{\bf y = 55}\)
Plugin y = 55 in equation (I)
x = 55 -10
\(\sf \boxed{\bf x = 45}\)
Number of students originally at the stop = x + y
= 55 + 45
= 100
4 - 1/(8w) < 16if y'all could answer this with work that would be great thank you :D
Consider the given inequality,
\(4-\frac{1}{8w}<16\)Add -4 on both sides,
\(4-\frac{1}{8w}-4<16-4\Rightarrow\frac{-1}{8w}<12\)Multiply both sides by -8, (the inequality sign will get changed),
\(\frac{1}{w}>-96\)Take reciprocals of both the sides,
\(w<-\frac{1}{96}\)Thus, the solution region contains all the points strictly less than negative 1/96.
The corresponding number line representation is given below,
MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products
Answer: $130 money did Brenda and Hazel have all together before buying decorations and snacks.
Here, we have,
You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.
Setup
Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...
(x/2 -58) : (x/2 -37) = 1 : 4
Solution
Cross-multiplying gives ...
4(x/2 -58) = (x/2 -37)
2x -232 = x/2 -37 . . . . . . eliminate parentheses
3/2x = 195 . . . . . . . . . . . . add 232-x/2
x = (2/3)(195) = 130 . . . . . multiply by 2/3
Brenda and Hazel had $130 altogether before their purchases.
Alternate solution
The difference in their spending is $58 -37 = $21.
This is the same as the difference in their final balances.
That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.
Their ending total is 1+4 = 5 ratio units, or $35.
The total they started with is $58 +37 +35 = $130.
To earn more on addition click:
brainly.com/question/29560851
#SPJ1
complete question:
Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?
If (9, x − 1, x ) is a Pythagorean triplet, then find the Pythagorean triplet.
Options are;
A. (9,11,10)
B. (9,40, 41)
C. (9,35, 36)
D. (9,39, 41)
Answer:
Hello,
Answer B
Step-by-step explanation:
If (9, x − 1, x ) is a Pythagorean triplet then
9²+(x-1)²=x²
81+x²-2x+1=x²
82=2x
x=41
x-1=40
(9,40,41) is the right triplet : answer B
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
Read more about tangent lines at
https://brainly.com/question/21595470
#SPJ1
4(1-x)<16 solve and graph
Answer: (x > -3).
Step-by-step explanation:
To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:
4(1 - x) < 16
Distribute the 4:
4 - 4x < 16
Subtract 4 from both sides:
-4x < 12
Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:
x > -3
The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.
To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:
The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).
here's the graph for 4(1-x)<16
Write an equation in slope-intercept form for the table.
Answer:
y=4x+3
Step-by-step explanation:
y=mx+c where m is the slope and c is the intercept.
To find m, get two points and plug them into the formula (y2-y1)/(x2-x1):
(0,3) and (2,11)
m=(11-3)/(2-0)
=8/2
=4
y=4x+c
To find c, plug in one of the points, eg. (3,15)
15=4(3)+c
15=12+c
c=3
y=4x+3
What is the constant of proportionality in the equation y=5/4x
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
Learn more about constant of proportionality at:
https://brainly.com/question/27598477
#SPJ1
How many terms are in the expression, 4x + 5y + 15?
Answer:
There are 3 terms.
A regular polygon has 20 sides.
What is the size of each of its interior angles?
Give your answer in degrees ().
Answer:
Step-by-step explanation:
sum of exterior angles=360°
each exterior angle=360/20=18°
each interior angle=180-18=162°
Answer:
16.2°
Step-by-step explanation:
polygon has 20 sides
regular polygon
How to find the sum of all interior angles in a polygon?
=> (n-2) x 180
here n means number of sides
=> (20-2) x 180
=> 18 x 18
=> 324
there are as many interior angles in a polygon as many sides it has.
and the size of each angle is the same in a regular polygon.
so => 324/20 = 16.2°- Answer
1. You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red, three are
green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball and
you will win $12 is you draw a yellow ball. How much do you expect to win or loss if you play this game 100
times?
O a
-2.40
Ob -1.67
Oc -16.67
Od -24.00
Answer:
Step-by-step explanation:
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
for more questions on down payment
https://brainly.com/question/1698287
#SPJ8
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
for more such questions on total amount
https://brainly.com/question/9879870
#SPJ8
Parallel lines m and n are cut by a transversal t. Which pair of angles is a pair of alternate interior angles?
A. 2 and 5
B. 1 and 5
C. 4 and 6
D. 2 and 6
Step-by-step explanation:
2and5 is 7
1and 5 is 6
4and 6 is 10
2and 6is 8
These four numbers are plotted on a number line:
2 5 3 1
3352
Which is the correct ordering on the number line, from left to right?
Answer:
yes
Step-by-step explanation:
can you help me in that problem
Answer:
(x - 10, y - 13)
Step-by-step explanation:
We have two shapes on a graph and the question is asking for the translation of rhombus QRST to rhombus Q'R'S'T.
Looking at the graph we can see that not only does the rhombus move backwards, but also downward, this indicates that our answers will be in a subtracting symbol.
So all we have to do is count the amount of spaces rhombus QRST went to get to rhombus Q'R'S'T
Brent Pickett borrowed $2000 from his brother Dave. He agreed to repay the money ate the end of three years, giving Dave the same amount of interest that he would have received if the money had been invested at 2.75% compounded quarterly. How much money did Brent repay his brother
Hello there. To solve this question, we'll have to remember some properties about investments.
Knowing Brent borrowed $2000 from his brother and will pay him the same amount of interest that he would have received if the money had been invested at 2.75% compounded quarterly, we need to find how much money will Brent repay his brother.
First, we have to remember the formula to find the amount a principal value P will become after t years, invested at an interesting rate r, compounded quarterly.
It is given by:
\(A=P\cdot\mleft(1+\dfrac{r}{4}\mright)^{4t}\)Plugging in P = 2000, r = 2.75% (converted in decimals, divide by 100) and t = 3, we get:
\(A=2000\cdot\mleft(1+\dfrac{0.0275}{4}\mright)^{4\cdot3}=2000\cdot\mleft(1+0.006875\mright)^{12}\)Add the values inside parenthesis and calculate the power (with the help of a calculator)
\(A=2000\cdot1.006875^{12}\approx2000\cdot1.0857=2171.38\)This is the amount Brent had to repay his brother.
!NO LINKS, NO FILES!
please :)
Answer:
6
Step-by-step explanation:
Recall the area of a triangle formula
\(A=\frac{bh}{2}\) where b = base and h = height
The triangle shown has a height of 4cm and a base length 3cm
Using this information we plug in the values into the formula
\(A=\frac{4*3}{2} \\4*3=12\\\frac{12}{2} =6\)
Hence, the area of the triangle is 6 square centimeters
Answer:
Ok so the area of the triangle is 6
Step-by-step explanation:
a= 1/2 bh
a= 1/2 * 3 * 4
a= 1/2 * 12
a= 6