quadrilateral PQRS is a scaled copy of quadrilateral ABCD Point p corresponds to A, q to B R to c and s to d
If the distance from P to R is 3 units, then the distance from Q to S is; 3 units
How to Interpret a scaled graph?
We are told that quadrilateral PQRS is a scaled copy of quadrilateral ABCD. Thus, this means that;
P → A
Q → B
R → C
S → D
We are also told that the length of PR = 3 units.
Now, from the given image, we see that;
AC = 6 and BD = 6
We also know that;
AC corresponds to PR
BD corresponds to QS
Due to the fact that AC and BD have the same side lengths, then it means that PR and QS will have the same side lengths.
Therefore, the value of QS is: QS = 3
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Complete question is;
Here is Quadrilateral ABCD.
Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD Point P corresponds to A.
Q to B. R to C. and S to D.
1. If the distance from P to R is 3 units, what is the distance from Q to S?
17).
A chef has 31 litres of cooking oil. He uses 7, of it during an evenings cooking.
How much does he
a).
use,
b).
have left over ?
Answer:
a) He obviously used 7 liters of cooking oil.
b) He has 24 liters of cooking oil left.
A system of equations is shown below.
What is the value of y for the solution to the system? [2z - y = 3
（エー3y=4
A.2
B.1
c.-1
D.-5
Answer:
option c
y = -1
Step-by-step explanation:
2x - y = 3 -----------------(1)
x - 3y = 4 ------------------(2)
from equation (2)
x = 4 + 3y-------------------(3)
substituting the value of x in equation (1)
2(4+3y) - y = 3
8 + 6y - y = 3
5y = 3-8
5y = -5
y = -1
substituting the value of y in equation (3)
x = 4 - 3
x = 1
Question 3
12 pts
Worldwide annual sales of cellphones in 2012-2013 were
approximately q = −6p + 3030 million phones at a
selling price of $p per phone. With a manufacturing cost
of $80 per phone, what selling price would have resulted
in the largest annual profit?
Upload Choose a File
With a manufacturing cost of $80 per phone, the selling price of $292.5 would result in the largest annual profit.
Explain profit.Profit is the amount of gain realized from a transaction. The profit formula is useful for figuring out the profit from selling a specific product, typically in a business, or for figuring out the gain in any financial transaction. If the selling price is more than the cost price, a profit can be determined.
Given,
q = -6p+3030
p = 505 - q/6
R(q) = 505q - q²/6
C(q) = 80q
Now, the profit function,
P(q) = R(q) - C(q)
= (505q - (q²/6)) - 80q
P(q) = 425q - q²/6
P(q) = 425 - q/3
q = 1275 units
Now, put it in the demand function,
p = 505 - q/6
= 505 - 212.5
= 292.5
Therefore, the selling price is $292.5.
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what are her monthly payments
The interest she is pay total is $2340.822 when Angela's bank granted her a 6380 loan with a 3 year add-on interest period. 12.23% is the interest rate per year.
Given that,
For the purpose of buying new equipment for her business of antique restoration, Angela's bank granted her a 6380 loan with a 3 year add-on interest period. 12.23% is the interest rate per year.
We have to find will she pay interest at all.
We know that,
i=p×r×t
Here,
i is interest.
p is principal amount.
r is rate of interest
t is time.
So, p is $6380
r is 12.23%
t is 3 years
So,
i= 6380×0.1223×3
i= $2340.822
Therefore, the interest she is pay total is $2340.822 when Angela's bank granted her a 6380 loan with a 3 year add-on interest period. 12.23% is the interest rate per year.
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Which expression is equivalent to 1 2/9 x 6/16
Answer:
0.45833333333 or 11/23
Step-by-step explanation:
1 2/9*6/16 is simply 11/23, cross multiply and simplify
Calculate the simple interest and maturity value.
Note: Do not round intermediate calculations. Round your answers to the nearest cent.
S
Principal
19,500
Interest rate
6 1/2 %
Time
20 month
Simple interest
< Prev
C
a
2 of 14
Maturity value
Next >
DELL
The simple interest is 2112.5 and the maturity value is 21,612.5
In the given question,
We have to find the simple interest and maturity value.
The given principal amount (P)= 19,500
The interest rate (r)= 6 1/2%
We write the interest in improper fraction. We can write it as 6 multiple with 2 then adding the result of multiplication with 1.
So the simplest form (r)=13/2%
Time = 20 months.
Now converting the months into years.
As we know that in one year have 12 months.
So the Time = 20/12
Time (T)= 5/3
The formula of simple interest is
I = P*R*T/100
Now putting the value
I = 19,500*(13/2)*(5/3)/100
Simplifying
I = 19,500*13*5/100*2*3
I = 1,267,500/600
I = 2112.5
Hence, the simple interest is 2112.5.
Now finding the maturity value(MV).
MV=P+I
MV=19,500+2112.5
MV=21,612.5
Hence, the maturity value is 21,612.5
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Everyone at Colin's school wore either brown or red for school spirit day. 126 out of the 600 students at the school wore brown. What percentage of the students wore brown?
Write your answer using a percent sign (%).
Answer:
Step-by-step explanation:
21%
determine the interval(s) for which the function shown below is decreasing
Answer:
(∞,-3) and (1,-∞)
Step-by-step explanation:
Decreasing means going down or in math terms, going toward the negatives.
When you are talking intervals in math, you only want to use the x-axis for the interval points. We write the interval as if it was a coordinate point though.
Looking at the graph it looks like it is going from infinity to -3 or written as (∞,3) and from 1 to negative infinity or written as (1, -∞)
The interval(s) for which the function shown below is decreasing are (∞,-3) and (1,-∞).
What is a function?A function is a relationship between two sets of values in mathematics where each input value (or "argument") corresponds to a certain output value.
In most cases, the input values come from a set referred to as the function's domain, while the output values come from a set referred to as the function's range.
Declining is the mathematical phrase for decreasing or moving towards the negatives.
Mathematicians only use the x-axis to represent interval points when discussing intervals. Yet, we express the interval as if it were a coordinate point.
If you look at the graph, it appears to be traveling from infinity to -3, which is written as (,3), and from one to negative infinity, which is written as (1, -).
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Gardner Pete wanted to fertilize his garden. The garden has a radius of 10 feet. Each bag of fertilizer covers 50 feet. How many bags will he need to buy?
He needs to buy 7 bags of fertilizer to fertilize the garden
The radius of the garden = 10 feet
The area of the garden A = π × [tex]r^2[/tex]
Where A is the area of the garden
r is the radius of the garden
Substitute the values in the equation
A = π × [tex]10^2[/tex]
= π × 100
= 314.16 feet square
Each bag of fertilizer covers 50 square feet
Then the number of bags required to fertilize the garden = The area of the garden / 50
Substitute the values in the equation
= 314.16 / 50
= 6.28
≈ 7 bags
Hence, he need to buy 7 bags of fertilizer to fertilize the garden
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Please help it's due to tomorrow
Answer:
Account A is incorrect the interest that you would earn is $8.60, not $860.00
Step-by-step explanation:
Choose the answer.
The difference between 3 times a number and 7 is 5. Write and solve an equation to
determine the number. Select the solution and graph that represents the number.
5 is the difference between the two numbers 12 and 7.
Given,
In the question;
The difference between 3 times a number and 7 is 5.
Write and solve an equation to determine the number.
Now, According to the question:
Let's assume the unknown number to be x,
so three time the number would be 3x.
The difference between 3 times a number (3x) with 7 is 5, so we can write it as:
3x - 7 = 5
Now we can solve this equation to the find x (the unknown number).
3x = 5 + 7
3x = 12
x = 12/3
x = 4
Therefore 3x= 12
So, 5 is the difference between the two numbers 12 and 7.
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Hector also kept track of the remaining gasoline. The equation shown below can be used to find the gallons of gasoline remaining (g) after distance driven (d)
The missing values for gallons of gasoline remaining is 11,6,1.
Given that equation shown below can be used to find the gallons of gasoline remaining (g) after distance driven (d).
We want to find the missing values for gallons of gasoline remaining.
The given equation is g=16-(1/20)d
When the distance is 100 then we will find the gallons of gasoline remaining by substituting d=100 in given equation, we get
g=16-(1/20)100
g=16-5
g=11
When the distance is 200 then we will find the gallons of gasoline remaining by substituting d=200 in given equation, we get
g=16-(1/20)200
g=16-10
g=6
When the distance is 300 then we will find the gallons of gasoline remaining by substituting d=300 in given equation, we get
g=16-(1/20)300
g=16-15
g=1
Hence, the missing values for gallons of gasoline remaining when distance 100 is 11, when distance 200 is 6 and when distance 300 is 1.
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Brett tallies up the transactions in his check register and comes up with a total balance of $248.53, but his bank statement says that his balance is $257.72. Which of the following are still outstanding?
I. A $44.09 check to the electronics store
II. A $73.98 check to the mechanic
III. A $49.96 paycheck deposit
IV. A $64.79 check deposit from Brett’s cousin
a.
I and III
b.
II and III
c.
I and IV
d.
II and IV
(10-x)+(12-x)
how do you do this i can't do this at all.
Answer:
[tex]\sf -2x+22[/tex]Step-by-step explanation:
[tex]\sf (10-x)+(12-x)[/tex]
Simplify:-
[tex]\sf 10-x+12-x[/tex]
Combine like terms:-
[tex]\sf -x-x+10+12[/tex]
[tex]\sf (-x-x)=\bf -2x[/tex]
[tex]\sf (10+12)=\bf 22[/tex]
[tex]\sf -2x+22[/tex]
__________________Hope this helps!
Have a great day!
Please help with the ones that have a red x beside it would greatly and would give 100 pts so please help me!!!!!
Answer:
huhh
Step-by-step explanation:
Hi im new can u guys tell me how this work pease??
Answer:
Step-by-step explanation:
idek idek
Triangle PQR is isosceles, Q being the right angle. If the hypotenuse is 38.47cm, find: i. Lengths of sides PQ and QR. ii. The size of angle QPR
The size of angle QPR is 45° and the length of sides PQ and QR are both 27.20cm
What are Isosceles triangle?An isosceles triangle is a triangle that has at least two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal angle,
since ∆PQR is a right angle isosceles triangle then, if angle Q is 90^°, QPR = PRQ=x( angles of an isosceles triangle).
Therefore 90+x+x= 180°
2x= 90
x= 45°
To find line PQ and QR, we use trigonometry ratio
cos 45°= adj/hyp
I/√2= QR/38.47
QR= 38.47/√2
= 27.20cm
QR= PQ= 27.20
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Order the steps to show how to solve the system of equations using substitution.
y=6x+1
7x – 2y= –1
Answer: The correct answer is x=−1/5 and y=−1/5
Step-by-step explanation:
Solve the System by substitution:
y=6x+1 and 7x−2y=−1
Solve y=6x+1 for y:
y=6x+1
Substitute 6x+1 for y in 7x−2y=−1:
7x−2y=−1
7x−2(6x+1)=−1
−5x−2=−1 (Simplify both sides)
−5x−2+2=−1+2 (Add 2 to both sides)
−5x=1
−5x/−5 = 1/−5 (Divide both sides by -5)
x=−1/5
Substitute −1/5 for x in y=6x+1:
y=6x+1
y=6(−1/5)+1
y=−1/5 (Simplify both sides)
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Complete the table: (Enter your answers as a whole dollar amount.) Units Unit Cost Dollar Cost Beg. Inventory Jan. 1 8 $ 6.00 A Apr. 11 24 $ 11.00 B May 17 30 $ 14.00 C Dec. 5 19 $ 16.00 D 21 units sold
The completion of the inventory table is as follows:
A = $48
B = $264
C = $420
D = $304.
What are the inventory methods?The above inventory table is completed using some of the inventory methods including:
FIFO (First-in, First-out) assumes that the physical flow of goods sold follows the chronological order of acquisition.
LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.
The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.
Specification Identification does not base allocating the costs of goods sold and ending inventory on any assumptions. Instead, it uses specific costs.
Inventory Table:Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 8 $6.00 $48 ($6 x 8)
Apri. 11 Purchases 24 $11.00 $264 ($11 x 24)
May 17 Purchases 30 $14.00 $420 ($14 x 30)
Dec. 5 Purchases 19 $16.00 $304 ($16 x 19)
Total 81 $1,036
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Identity the a, b, h and k values from the parent function, y = x^2
The values from the parent function are a = 1, b = -6, h = 3, and k = -4.
What is the vertex form of quadratic equations?
The vertex form of a quadratic function is given by f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
The given parent function is f(x) = (x - 3)² - 4.
comparing with the standard vertex form of the parabola, we get
a = 1, h = 3 and k = -4.
Now to find 'b', we have to simplify the given function in the form of f(x) = ax² + bx + c
f(x) = (x - 3)² - 4
f(x) = (x² - 6x + 9) - 4
f(x) = x² - 6x + 5
Comparing with f(x) = ax² + bx + c we get, c = -6.
Hence, The values from the parent function are a = 1, b = -6, h = 3, and k = -4.
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Question 1-3
Tim and Jessica plan to rent a camper van for a vacation. The van costs $183. 00 per day. The rental includes 120 miles for free and then charges $0. 39 per mile.
Part A
Select the equation that models the cost of the van rental. V in terms of miles traveled m
V= 183 + 0.39(m
120)
O V = 0.39m + (183
- 120)
0 m = 183 + 0.39(V - 120)
0 m = 0.039V + (183 - 120)
Tim and Jessica's vacation budget is to spend a total of $598. 74 for the rental van. Use the equation to determine the number of miles that Tim and Jessica can travel roundtrip on
vacation.
Destination
Boston, MA
Asheville. NC
Nashville. TN
Washington. D.C.
Miles from Rental Company to Destination
1186 miles
593 miles
687 miles
846 miles
Select the destination that Tim and Jessica can go on vacation based on the budget.
O Boston, MA
O
Asheville, NC
Nashville, TN
O Washington, D.C.
The equation that models the cost of the van rental is V = $183 + (m - 120)0.39. (first option)
The number of miles that Tim and Jessica can travel roundtrip on vacation is Ashville MC (second option)
How many miles can they travel?The equation that represents the total cost of renting the camper van is a linear equation. A linear equation is an equation that has single variable that is raised to the power of one.
The general form of a linear equation is: y = mx + b
Where:
m = slope b = interceptThe form of the linear equation is:
total cost = cost of renting the van + [(total miles driven - 120) x cost per mile)
V = $183 + (m - 120) x 0.39
V = $183 + (m - 120)0.39
Total miles that can be driven if they have to spend $598.74
$598.74 = $183 + (m - 120)0.39
$598.74 = $183 + 0.39m - 46.80
$598.74 = $136.20 + 0.39m
$598.74 - $136.20 = 0.39m
$462.54 = 0.39m
m = $462.54 /0.39
m = 1186
Distance Tim and Jessica can travel from the rental company to the destination = 1186 / 2 = 593 miles
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Solve the system of equations.
y = 3x+2
y=x²-4x+2
Answer:
a) -2/3
b) x^2-1/2
Step-by-step explanation:
write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation (0,0) y=-3x+2
f: x → x + 5 9: x→ 8x What is the value of fg(4.5)?
The mapping of the function f of g(x) will result to 41
What is a functionA function in mathematics is a rule that defines a relationship between one variable. This is a mapping whose codomain is the set of real numbers.
By mapping of the functions f and g defined as;
f : x » x + 5 and g : x » 8x
then;
f of g(x) = f of 8(4.5)
f of g(x) = f of 36
f of g(x) = 36 + 5
f of g(x) = 41
Hence, with proper mapping of the defined functions of f and g, the correct value for f of g(x) is 41.
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Nolan went shopping for a new pair of sneakers because of a sale. The store was offering a 25% discount. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?
The number is 0.75.
From the question, we have
The store was offering a 25% discount.
number = 1-0.25
=0.75
Subtraction:
Subtraction serves as a representation for the act of removing items from a collection. The minus sign stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above figure) are then moved to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, or equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.
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Drag each tile to the correct box. Not all tiles will be used.
Consider the recursively defined function below.
f(1) = = 10
f(n) 2.2 f(n-1), for n = 2, 3, 4, ...
Create the first five terms of the sequence defined by the given function.
The first five terms of the sequence defined by the given function are f(1) = 10 f(2) = 22 f(3) = 48.4 f(4) = 106.48 and f(5) = 234.256.
What is a sequence?
A collection of events or items that occur one after the other in a specific order is referred to as a sequence.
Here, we have
Given the function is f(n) = 2.2 [ f(n-1) ] Here, f(1) = 10 then we have to create the first five terms of the sequence defined by the function.
Since f(1) = 10
f(2) = 2.2 [ f (2-1) ] = 2.2× [ f (1) ]
= 2.2 × 10 = 22
f (3) = 2.2 [ f (3-1)] = 2.2 × [ f (2) ]
= 2.2 × 22 = 48.4
f(4) = 2.2 [ f(4-1) ] = 2.2× [ f(3)]
= 2.2 × 48.4 = 106.48
f(5) = 2.2 [ f(5-1) ] = 2.2× [ f(4)]
2.2× 106.48 = 234.256
Hence the first five terms of the sequence defined by the given function are f(1) = 10 f(2) = 22 f(3) = 48.4 f(4) = 106.48 and f(5) = 234.256.
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What is the range of the given function ?
The range of the function is y ≤ 3.
What is the range of the function?The set of a function's potential output values is known as its range.
Given, the graph of the function.
The range of a function is the set of values of y the function can take.
The maximum y value of the function is 3, and the graph is going down both sides infinitely.
Therefore, the range of the function is y ≤ 3.
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guys please answer all my questions are being ignored
Line x is the perpendicular bisector of segment ZY
what does x =
Answer:
x=7
Step-by-step explanation:
these 2 triangle sides are equal to each other so just set them equal to find x
X+3=3x-11
-x. -x
3=2x-11
+11. +11
14=2x
=2. =2
7=x
Hopes this helps please mark brainliest
The equation of line p is y + 5 = -10(x + 2). Line q is perpendicular to line p and passes
through (-1, -1). What is the equation of line q?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
ojo
Submit
Work it out
Not feeling ready vet? These can help:
Ver en
The equation of line q is y = x/10 - 9/10.
What is equation of straight line?
A line that does not curl or bend is said to be straight. A line has length but no width, making it a one-dimensional figure. A line consists of points that extend infinitely in opposite directions. Two points in a 2D plane determine it. A, B, and C are real-based constants in the formula Ax + By + C = 0, A, B 0. The geometric representation of the equation is always a straight line.
Here the given line P,
=> y+5=-10(x+2)
=> y+5=-10x-20
=> y = -10x-25
Here in the given line y=mx+c , where m=slope. Then,
=> Slope of line P = -10.
Here line P is perpendicular to line q.
Then, slope of line q = -1/ slope of line p = -1/-10 = 1/10
Now the line passes through the point [tex](x_1,y_1)=(-1,-1)[/tex] then,
=> [tex]y-y_1=m(x-x_1)[/tex]
=> y+1 = 1/10 (x+1)
=> 10y+10 = x+1
=> 10y=x-9
=> y = x/10 - 9/10.
Hence the equation of the line q is y = x/10 - 9/10.
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What is the slope of the line that passes through the points (−4, −4) and (6, 4
Answer: no slope
Step-by-step explanation:
m= y2-y1/x2-x1
m= 6-(-6)/4-4
m=12/0
m= no slope
Answer:
y = 0.8x - 0.8
Step-by-step explanation:
Δy ÷ Δx = gradient (x)
4 - -4 = 8
6 - -4 = 10
8 ÷ 10 = 0.8
equation of line; y = mx + c
substitute one of the coordinates into the equation
(6, 4) y = 4, x = 6
4 = 0.8(6) + c
4 = 4.8 + c
- 4.8 to get the y intercept on it's own
-0.8 = y intercept (c)
confirmation
substitute the new values to get the other y
(-4, -4) y = -4 <-- should be the answer, x = -4
y = mx + c
y = 0.8(-4) - 0.8
y = -3.2 - 0.8
y = -4 the gradient and the y intercept have been proven right