Answer:
We would save $1.52 cents
Step-by-step explanation:
3 the pencil were at sale for 25 cent
1 pencil = 25 cent/3 =8.33 cent per one pencil
5 the pencil were at sale for 29 cent
1 pencil = 29 cent/5 =5.8 cent per one pencil
If we bought 60 pencil in group of 3 for 25 cent
=60/3= 20 pencil
25cents * 20 pencil = 500 cent per 60 pencil
If we bought 60 pencil in group of 5 for 29 cent
=60/5= 12 pencil
29cents * 12 pencil = 348 cent per 60 pencil
From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents
The inverse of f(x) is a function
Answer:
The inverse of a function may not always be a function!
The original function must be a one-to-one function to guarantee that its inverse will also be a function.
Which polynomial is written in descending order of the powers of the variable?
A. -2x^3+6x^2-9x+5
B. 5-9x+6x^2-2x^3
C. 5+6x^2-9x-2x^3
D. -2x^3+5+6x^2-9x^2-9x
Step-by-step explanation:
Descending means from highest to lowest values, so look for the one that goes in order counting down.
Option A is going down all the way unlike any of the other answers, so A is the correct option.
Answer:
A. [tex]-2x^3+6x^2-9x+5[/tex]
Points 2
Triangle ABC is translated 3 units left and 4 units up. Find the coordinates of
the new triangle
Answer:
a = -1,6 b = 1,11 c = 4,11 .
FAST ANSWER PLEASE THANKS
Answer: D
Step-by-step explanation:
(g*h)(x) is equal to g(x) times h(x). So, simply multiply them to get [tex]6x^2[/tex]
How many complex numbers have modulus of 5?
9514 1404 393
Answer:
an infinite number
Step-by-step explanation:
In the complex plane, all of the numbers with modulus 5 form a circle of radius 5 around the origin. There are an infinite number of points on that circle.
An infinite number of complex numbers have a modulus of 5.
Which of the following statements about f(x) is true? F(x)=(5/4)^x+1
Answer:
idk
Step-by-step explanation:
i don't see any statements jsjsjsjsjsjs
Find the y-intercept of the following equation. Simplify your answer.
y
=
9
10
x
+
7
6
y-intercept =
Answer:
Brainliest!Step-by-step explanation:
the equation is y=mx+b
the b part is the y-intercept
so in your equation... the y=intercept would be 7/6
answer to the question
Answer:
$2916.00
Step-by-step explanation:
Which integers satisfy the inequality 2 < x ≤ 6 ?
Please help if you are in year 8 and know math!
Answer:
3, 4, 5, 6
Step-by-step explanation:
Given the inequality
2 < x ≤ 6
This says that 2 is less than x , so x ≠ 2 ( left part )
x is less than or equal to 6 means x can equal 6 ( right part )
Integer values that satisfy the inequality are
x = 3, 4, 5, 6
What is the value of x
Answer:
A. 35 deg
Step-by-step explanation:
Use the exterior angle measure theorem.
The measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
60 + x = 95
x = 35
What is the inverse of g(x) =
X +8
Answer:
The inverse is x-8
Step-by-step explanation:
g(x) = x+8
y = x+8
To find the inverse, exchange x and y
x = y+8
Solve for y
Subtract 8 from each side
x-8 = y+8-8
x-8 = y
The inverse is x-8
II. Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.A. And if the first payment of $10,000 is received at the end of 10 years
Answer:
$26934.56
Step-by-step explanation:
The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:
[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]
n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000
[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
25
Step-by-step explanation:
So find the number that is a perfect square and 2 times the square root = 10
The number is 25.
Check:
[tex](x+5)^2=x^2+10x+25[/tex]
Answer:
The answer is 25.
Step-by-step explanation:
25 is a perfect square of 5. When x are added together, they form 10x.
[tex] {(x + 5)}^{2} [/tex]
[tex] {x}^{2} + 2(x)(5) + {5}^{2} [/tex]
[tex] {x}^{2} + 10x + 25[/tex]
Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?
Answer:
Step-by-step explanation:
Total cake shared=1/2
Pete share=x
Bill= twice as much as Pete
=2x
Pete's share+ Bill's share=total share
x+2x=1/2
3x=1/2
x=1/2÷3
x=1/2×1/3
=1/6
Pete's share=x=1/6
Bill's share=2x
=2(1/6)
=2/6
=1/3
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
m 1 = a) 40 b) 130 c)50
Answer:
C) 50
Step-by-step explanation:
You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.
can someone help me!!
Answer:
y = 4x -3
Step-by-step explanation:
Suppose $4000 is invested at 6% interest compounded annually. How much money will there be in the bank at the end of 5 years? At the end of 20 years?
Answer: The accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = $ 12828.54
Step-by-step explanation:
Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:
[tex]A=P(1+r)^t[/tex]
As per given , we have
P = $4,000
r= 6% = 0.06
Put thsese values in formula : [tex]A=4000(1+0.06)^t=4000(1.06)^t[/tex]
The accumulated amount after 5 years = [tex]A(5)=4000(1.06)^5[/tex]
[tex]=4000(1.3382255776)=5352.9023104\\\\\approx5352.90[/tex]
Hence, the accumulated amount after 5 years = $ 5352.90
The accumulated amount after 20 years = [tex]A(20)=4000(1.06)^{20}[/tex]
[tex]=4000(3.20713547221)=12828.5418888\\\\\approx12828.54[/tex]
Hence, the accumulated amount after 20 years = $ 12828.54
Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively
Using the compound interest formula :
[tex] A = P(1 + r)^{t} [/tex] P = principal r = Rate t = timeAfter 5 years :
[tex] A = 4000(1 + 0.06)^{5} [/tex]
Amount after 5 years = $5325.90
After 20 years :
[tex] A = 4000(1 + 0.06)^{20}[/tex]
Amount after 5 years = $12828.54
Hence, the amount accumulated after 20 years will be $12828.54
Learn more : https://brainly.com/question/25581049
4/5x(-3/7)-3/8+6/5x(-3/7
Find using suitable property
Answer:
-1 13/56
Step-by-step explanation:
[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]
#I_hope_this_helps
#save_earth
#stay_at_home
#keep_spirit
A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as many pairs of blue pleated slacks as gray pleated slacks, and it sold twice as many pairs of gray non-pleated slacks as blue non-pleated slacks. If it sold 333 pairs of blue slacks and 225 pairs of gray slacks, how many pairs of blue non-pleated slacks did it sell?
Answer:
138 pairs
Step-by-step explanation:
The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:
[tex]blue\ pleated = 5 * gray\ pleated[/tex] (eq1)
The number of gray non-pleated is twice the number of blue non-pleated slacks, so:
[tex]blue\ nonpleated = 2 * gray\ nonpleated[/tex] (eq2)
The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:
[tex]blue\ pleated + blue\ nonpleated = 333[/tex] (eq3)
[tex]gray\ pleated + gray\ nonpleated = 225[/tex] (eq4)
If we add (eq1) and (eq2), we have:
[tex]blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated[/tex] (eq5)
Using (eq3) and (eq4) in (eq5), we have:
[tex]333 = 2*225 + 3*gray\ pleated[/tex]
[tex]gray\ pleated = 117/3 = 39[/tex]
From (eq1), we have:
[tex]blue\ pleated = 5*39 = 195[/tex]
From (eq3), we have:
[tex]blue\ nonpleated = 333 - 195 = 138[/tex]
Answer:
88
Step-by-step explanation:
Sierra Movie Theater sold 189
tickets for $9.25 each on Friday
night. What was the total amount
of ticket sales for that night?
Answer:
$1748.25
Step-by-step explanation:
Multiply:
($9.25/ticket)(189 tickets) = $1748.25 (total amount of ticket sales)
is x^2 + y^2 = 5 a function
Answer:yes
Step-by-step explanation:
System of equations by elimination
2x - 3y = 5
2x + 2y = 10
Factor the polynomial completely.
(y - 8)^2 - 16
Answer:
(y -12)(y -4)
Step-by-step explanation:
This can be factored as the difference of squares:
(y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)
picture chart is below
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had three or more absences during the first quarter?
Thanks for all correct answers
Answer:
11%
Step-by-step explanation:
this is simple because there are 4 parts of the pie chart, and we are given 3. the one we don't know we will call x. Since its percents, we know that all of the percents will add up to 100, so we can write an equation.
45 + 23 + 21 + x = 100
to solve, you can subtract 45, 23, and 21 from both sides and you are left with x = 11 which is your solution for how many students had 3 or more absences.
hope it helps!
A cubical block of side 14 cm is surmounted by a hemisphere . what is the greatest radius that the hemisphere can have?
Answer:
9.9cmStep-by-step explanation:
The hemisphere will have its greatest radius along the diagonal of the cube it was surmounted on. The base of the cubical block will be square in nature. Since a cube has all its sides equal, we can find the length of its diagonal using pythagoras theorem as shown.
[tex]hyp^{2} = adj^{2} +opp^{2}[/tex]
Note that the diagonal will be the hypotenuse of the square face which is the longest sides.
Given adjacent = 14cm and opposite = 14cm
[tex]hyp^{2} = 14^{2} +14^{2}\\hyp = \sqrt{196+196} \\hyp = \sqrt{392} \\hyp = 19.8cm[/tex]
The diagonal of the base of the cube is 19.8cm which is equivalent to the greatest diameter of the sphere.
The greatest radius that the hemisphere can have = 19.8/2 = 9.9cm
Drawing diagrams
Circles
Radius rDiameter dRelationship between r and d:Cubes
Length lWidth wHeight hApplication:Let's draw a figure to supplement a visual image to further understand what we need to find. Please refer to the attached image for reference. Please excuse the poor handwriting/drawing. It is also not to scale.
We know that there is a cubical block w/ side measurements of 14 cm. "Surrmounted" means on top. So a hemisphere (half of a sphere) is on top of our block.
If we take a look at our geometrical shape from the top-down angle, we can see that the top would just look like a circle within a square, as depicted in blue.
Labeling our measurements, we can see that the length, width, and height of our cubical block are equal to 14 cm due to the definition of a cube. This extends to the definition of a square as well, so the length and width of our square are also equal to 14 cm.
With the side of the square equal to 14 cm, we know that this is equal to the circle's diameter. So d = 14 cm. We can solve for the radius of the circle/hemisphere by substituting it into the radius formula:
[tex]\begin{aligned}r & = \frac{d}{2} \\& = \frac{14 \ \text{cm}}{2} \\& = \boxed{ 7 \ \text{cm}} \\\end{aligned}[/tex]
Answer:∴ the greatest radius that the hemisphere can have is equal to 7 cm. Any r > 7 cm would result in the hemisphere being over the edge of the cube.
___
Learn more about Geometry: https://brainly.com/question/27732359
___
Topic: Geometry
Unit: Composition of Geometrical Shapes
in a bacterial cell where would you find the DNA plasmids?
Step-by-step explanation:
bacteria also have small, closed-circle of DNA called plasma and present in their cytoplasm .
es urgente ¡¡¡ si la MH de a y 4 es 6 y la MH de 8 y b es 12 calcula la MH de a y b
Answer:
Sabemos que:
[tex]MH(x, y) = \frac{2xy}{x+y}[/tex]
y tenemos que:
[tex]MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6[/tex]
Con esto podemos encontrar el valor de a:
8*a/(a+ 4) = 6
8*a = 6*(a + 4) = 6*a + 24
8a - 6a = 24
2a = 24
a = 24/2 = 12.
Tambien sabemos que:
[tex]MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12[/tex]
Y de ahí podemos despejar b:
(16*b)/(b + 8) = 12
16*b = 12*(b + 8) = 12b + 96
16b - 12b = 96
4b = 96
b = 96/4 = 24
Entonces tenemos a = 12 y b = 24, y el MH de a y b es:
MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16
3 feet
12 feet
The ramp will be approximately
feet long
Answer:
36 feet long
Step-by-step explanation:
3 feet x 12 feet is 36 so it will be 36 feet long!
please mark brainliest and have a nice day :)
Which expression is equivalent to x5 • x2?
Answer:
[tex]x^{7}[/tex]
Step-by-step explanation:
= [tex]x^{5} * x^{2}[/tex]
When bases are same, powers are to be added
= [tex]x^{5+2}[/tex]
= [tex]x^{7}[/tex]
