Answer:
$4.20
Step-by-step explanation:
The Writing Emporium sells pencils and pens individually.
Step 1
We have to first find the price of a pencil and a pen
Let:
The price of a pencil = x
The price of a pen = y
Alana buys a pencil and two pens for $1.10.
x + 2y = 1.1 ......Equation 1
x = 1.1 - 2y
Jeffrey buys two pencils and a pen for $1.00.
2x + y = 1 ........ Equation 2
We substitute 1.1 - 2y for x in Equation 2
2(1.1 - 2y) + y = 1
2.2 - 4y + y = 1
-4y + y = 1 - 2.2
-3y = -1.2
y = -1.2/-3
y = $0.4
Solving for x
x = 1.1 - 2y
x = 1.1 - 2(0.4)
x = 1.1 - 0.8
x = $0.3
Hence:
The price of a pencil = x = $0.3
The price of a pen = y = $0.4
Step 2
How much does Edward spend to buy six pencils and six pens from the Writing Emporium?
6x + 6y
6($0.3) + 6($0.4)
$1.8 + $2.4
= $4.20
Therefore, Edward spent $4.20 to buy six pencils and six pens from the Writing Emporium.
Ok so, 67 out of 206 species of birds found in the Badlands nest there. 824 species were found in the Badlands. How many of those nest there?
Answer: 268
Step-by-step explanation:
From the question, we are informed that 67 out of 206 species of birds found in the Badlands nest there and that 824 species were found in the Badlands. The number of those that nest there would be:
= 67 × 824/206
= 67 × 4
= 268
convert the following equation into slope intercept form
3y - 2x = 9
Answer:
the slope intercept form 3y-2x=9 is y=2/3x+3
During the first six months of the year, the car dealership sold 47 cars, 53 cars, 62 cars, 56 cars, 46 cars, and 48 cars. What was the average number of cars sold per month during the first six months of the year?
Answer:
52 cars
Step-by-step explanation:
During the first six months of the year the car dealership sold
53 cars
47 cars
62 cars
56 cars
46 cars
48 cars
Therefore the average number of cars sold per month can be calculated as follows
= 53+47+62+56+46+48/6
= 312/6
= 52
Hence an average of 52 cars is sold monthly
Which table of ordered pairs represents a proportional relationship?
hello there!
it would be C
because
6/3=2 and 2*5=10 and 7*2=14
hope this helps
have a fantastic day/night
Show your work to evaluate g(f(x)) if f(x)=x+2/2 and g(x)=1x−1
Answer:
x/2.
Step-by-step explanation:
We replace the x in g(x) by f(x):
g(f(x)) = 1((x + 2/2) - 1
= (x + 2)/2 - 1
= (x + 2 - 2)/2
= x/2.
Answer:
x/2
Step-by-step explanation:
g(f(x)) = (x+2/2) - 1
= [tex]\frac{x+2}{2}[/tex] - [tex]\frac{2}{2}[/tex]
= (x + 2 - 2) / 2
= x/2
On comparing the ratios of the coefficients, find out whether the pair of equations x – 2y =0 and 3x + 4y -20 =0 is consistent or inconsistent.
Answer:
The pair of equations is consistent
Step-by-step explanation:
A consistent system of equations has at least one solution
The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutionsAn inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, and [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex] , then the system is consistent independent and has exactly one solution∵ x - 2y = 0
∴ The coefficient of x ⇒ a = 1
∴ The coefficient of y ⇒ b = -2
∴ The numerical term ⇒ c = 0
∵ 3x + 4y - 20 = 0
→ Add 20 to both sides
∴ 3x + 4y - 20 + 20 = 0 + 20
∴ 3x + 4y = 20
∵ The coefficient of x ⇒ d = 3
∵ The coefficient of y ⇒ e = 4
∵ The numerical term ⇒ f = 20
∵ a ≠ d
∵ b ≠ e
∵ c ≠ f
∵ [tex]\frac{a}{d}[/tex] = [tex]\frac{1}{3}[/tex]
∵ [tex]\frac{b}{e}[/tex] = [tex]\frac{-2}{4}[/tex] = [tex]\frac{-1}{2}[/tex]
∴ [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex]
→ By using rule 3 above
∴ The pair of equations is consistent
Fill in the missing number in this newspaper report:
Houses cost £150000 one year ago
They now cost £
This is a 25% increase
Answer:
£187,500
Step-by-step explanation:
Cost of houses one year ago = £150000
Percent increase a year after = 25%
Increment = 25% * 150000
Increment = 0.25 * 150000
Increment = £37500
New cost of house after increment = £150000+ £37500
New cost of house after increment = £187,500
need help with this question!!!
Answer:
36° and 54°
Step-by-step explanation:
Let one of the acute angle be "x"
We are told that the other acute angle is 1.5 times the other angle = 1.5x
The right angle = 90°
Find the value of x:
Therefore:
90 + 1.5x + x = 180 (sum of interior angles of triangle)
Add like terms
90 + 2.5x = 180
2.5x = 180 - 90
2.5x = 90
x = 90/2.5
x = 36° (one acute angle)
✔️Second acute angle = 1.5x
Plug in the value of x
= 1.5(36)
= 54°
Solve the equation for all values of x by completing the square.
x² – 18x= -66
Answer:
x=12.87298334
Step-by-step explanation:
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality 12n>135+4.50n represents the situation in which the artist makes a profit. a) Will the artist make a profit if she sells 15 necklaces?
Answer: No
Step-by-step explanation:
$12-$4.50= $7.50
$7.50*15= $112.50
The Total cost is $135 She will only be making $112.50 in profits.
plss find this one HCF
a³,a²,a
Step-by-step explanation:
a³,a²,a
first expression
=a×a×a
second expression
=a×a
third expression
=a
HCF=a^4
how do I simplify the expression -2.4+0.5f-14-4
9514 1404 393
Answer:
0.5f -20.4
Step-by-step explanation:
There is only one term containing a variable (0.5f), but there are three constant terms. The constant terms can be combined by finding their sum in the usual way.
-2.4 +0.5f -14 -4
= 0.5f -(2.4 +14 +4)
= 0.5f -20.4
Help please thank you!!!!
Answer:
I think the person with the greatest debt is Marcus cause he has -25 dollars in his bank account.
Step-by-step explanation:
Sara and Maria both have positive numbers as their bank amount. Samuel have to deposit 10 dollars into his bank account to not be in debt while Marcus has to deposit 25 dollars.
Simplify the expression 2(w+7)+6(3w−1).please help
Answer:
20w+8
Step-by-step explanation:
hope it helps..................
Answer:
20w+8
i hope this helps u :)
Someone please help me with these too://
Answer:
1.
The slope is 2
The y-intercept is -10
equation: y = 2x - 10
2.
Slope: 2.5
y-intercept: 1
Equation: y = 2.4x + 1
Step-by-step explanation:
1.
x y
2 12
4 16
8 24
10 28
from 12 to 16 you add 4
from 2 to 4 you add 2
y/x = 4/2 = 2
The slope is 2
The y-intercept is -10
equation: y = 2x - 10
I got the y-intercept because I went from 12 to 0 which is -12, and then 2 - 12 and it's -10
__________________________________________________________
2.
x y
5 4
20 10
30 14
35 16
from 4 to 10, u add 6
from 5 to 20 you add 15
y/x = 15/6 = 2.5
Slope: 2.5
y-intercept: 1
Equation: y = 2.4x + 1
I got the y-intercept because I went from 4 to 0 which is -4, and 5 - 4 is 1.
Hope this helped
The cost of a car rental is $25 per day plus 22 per mile. You are on a daily budget of $90. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer: You can drive, at most, 2.95 miles per day.
x ≤ 2.95
Step-by-step explanation:
In a single day, you can spend at most $90
Then if C represents the cost of renting the car, then we will have the inequality:
C ≤ $90
Now let's find the equation for C.
We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:
C = $25 + x*$22.
We can now replace that in the inequality:
$25 + x*$22 ≤ $90
Now let's isolate the variable x
x*$22 ≤ $90 - $25
x*$22 ≤ $65
x ≤ $65/$22 = 2.95
x ≤ 2.95
You can drive at most, 2.95 miles per day.
To find other inequalities with the same solution we can start with the solution:
x ≤ 2.95
Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)
Let's multiply both sides by $10:
x*$10 ≤ 2.95*$10 = $29.5
x*$10 ≤ $29.5
Now let's add the same number in both sides, for example, $5.
x*$10 + $5 ≤ $29.5 + $5 = $34.5
x*$10 + $5 ≤ $34.5
We could write this problem as:
"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"
You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.
What is the solution to 3|-3x+9|=-18?
Answer:
There is no solution to the problem.
Step-by-step explanation:
Key skills: Absolute Value, Division, One Variable Equation
1) We have the equation 3|-3x+9|=-18
2) First, divide by 3 on both sides.
-18/3 is -6
3) This means --> |-3x+9| = -6
4) Absolute Value cannot be negative so there is no solution.
Hope you understood and have a nice day!! :D
Consider the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2. What is the rectangular form?
Answer: C on edge
Step-by-step explanation:
The rectangular form of the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2 is shown in the option third, option third is correct.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
The missing options are in the attached picture please refer to the picture.
We have two parametric equations:
x = 4cos(t) – 3 and
y = 5sin(t) + 2
From the options plug x and y values in the equation:
[tex]\rm \dfrac{(x+3)^2}{16}+\dfrac{(y-2)^2}{25}=1\\[/tex]
[tex]\rm \dfrac{(4cos(t)-3+3)^2}{16}+\dfrac{(5sin(t)+2-2)^2}{25}=1\\[/tex]
[tex]\rm \dfrac{(4cos(t))^2}{16}+\dfrac{(5sin(t))^2}{25}=1\\[/tex]
cos²t + sin²t = 1 (true)
Thus, the rectangular form of the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2 is shown in the option third, option third is correct.
Learn more about the parametric function here:
brainly.com/question/10271163
#SPJ5
Payton read 1/6 of a book in 1/4 of an hour how much does Payton read in 1 hour
Answer:
4/6 of a book in an hour
Step-by-step explanation:
1/6 = 1/4
1/4 x 4/1 = 1
1/6 x 4/1 = 4/6
Bam! UwU
Lol Hope This Helps !
Help me with this too please hrlp
Answer:
3 * 10^4
Step-by-step explanation:
Here, we want to make a division
We want to divide 9 * 10^2 by 3 * 10^-2
That would be;
(9 * 10^2)/(3 * 10^-2)
= 9/3 * 10^2-(-2)
= 3 * 10^4
Write an explicit formula for an, the nth term of the sequence 75, 15, 3, ....
Answer:
aₙ = 75 x 0.2ⁿ⁻¹ or 75 x (1/5)ⁿ⁻¹
Step-by-step explanation:
a₁ = 75
a₂ = 75 x 0.2¹ = 75 x 0.2 ²⁻¹ = 15
a₃ = 75 x 0.2² = 75 x 0.2³⁻¹ = 3
.......
aₙ = 75 x 0.2ⁿ⁻¹ or 75 x (1/5)ⁿ⁻¹
To edit a manuscript, Miguel charges 12 dollars per hour for the first 4 hours and 15 dollars per hour after the first 4 hours. Write an expression for the amount, in dollars, Miguel charges if it takes him t hours to edit a manuscript, where t>4 ?
Answer:
C = 12 + 15(x - 4)
C = 15x - 48
Step-by-step explanation:
Let the number of hours = t
The total amount Miguel earns =
C
To edit a manuscript, Miguel charges 12 dollars per hour for the first 4 hours and 15 dollars per hour after the first 4 hours.
C = 12 + 15(x - 4)
Expand the t
C = 12 + 15x - 60
C = 15x - 48
Therefore, an expression for the amount, in dollars, Miguel charges if it takes him t hours to edit a manuscript, where t>4 is given as:
C = 15x - 48
An isoceles triangle has two long sides and one short side. The short side is half the length of a long side. If the perimeter of the triangle is 15cm, find the length of the short side
Answer:
3cm
Step-by-step explanation:
so the long sides are 6cm and the short sides are 3cm
In an electronics store, an iPod is $75. The sales tax is 7.5%. What is the cost of the iPod?
Answer:
$80.625
Step-by-step explanation:
$75 for the iPod times 0.075 = 5.625 which is the sales tax.
Then $75 (Cost of iPod) + 5.625 (Sales Tax) = $80.625 (Price of the iPod including the sales tax)
Sorry, if I am wrong. I tried my best and Hope this helps ;)
If Buddy the Elf stands 6'3" tall and looks up at the Empire State Building (1454' high), what is the angle of elevation if Buddy is 206' from the base of the Empire State Building?
Answer:
Step-by-step explanation:
If Buddy the Elf stands 6'3" tall and looks up at the Empire State Building (1454' high), what is the angle of elevation if Buddy is 206' from the base of the Empire State Building?
We are to find the angle of elevation which is calculated using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent
Where:
Opposite = 1454'
Adjacent = 206
tan θ = 1454'/206
Helppp +star & +15 points
Answer:
y=1
Step-by-step explanation:
the slope is 0 and the y-intercept is 1, so y=0x+1, y=1
A local little league has a total of 60 players, of whom 20% are right handed. How many right handed players are there.
Answer:
12
Step-by-step explanation:
60 x 20% = 12
Answer:
12
Step-by-step explanation:
Is A ABC-A DEP? If so, identify the similarity postulate or theorem that
applies.
A. Similar - SAS
B. Similar - SSS
C. Similar - AA
D. Cannot be determined
Answer:
The similarity postulate that applies is;
C. Similar - AA
Step-by-step explanation:
The given parameters are;
ΔABC with angles ∠BAC = 30°, ∠ABC = 100° and ∠BCA = 50°
ΔDEF with angles ∠EDF = 30°, ∠DEF = 100° and ∠DFE = 50°
Therefore, the interior angles of ΔABC are equal to the corresponding interior angles of ΔDEF, which satisfies the Angle-Angle (AA) condition for similarity of two triangles based on the congruency of two interior angles of one triangle to two interior angles of the other triangle.
Lori wants to put a tarp over their family's circular pool to keep the leaves out. The pool has a diameter of 20 feet. How many square feet of blanket does she need? Use 3.14 for \piπ.
Answer:
314 sq.feet
Step-by-step explanation:
r= 10 feet
as you know r= d/2
As pool is circular
Area of circle = πr^2
Area of circle= 3.14*10^2 = 314square feet
You need to solve for x.
I'm pretty sure it's 28 but sorry if I'm wrong it might be 44