Answer:
5 months
Step-by-step explanation:
Given
[tex]c = 30m + 50[/tex]
[tex]c = 20m + 100[/tex]
Required [Missing from the question]
At what month will the cost be equal
To do this, we equate both expressions
[tex]c = c[/tex]
This gives:
[tex]30m + 50 = 20m + 100[/tex]
Collect like terms
[tex]30m - 20m = 100 - 50[/tex]
[tex]10m = 50\\[/tex]
Solve for m
[tex]m = \frac{50}{10}[/tex]
[tex]m = 5[/tex]
Triangle ABC has vertices located at A(1, -4), B(4, -6) and C(2, -1) on a coordinate grid. After it is reflected across the y-axis and a dilation of ½ is applied, what is the new coordinate of B? A. (4,6) B. (8,12) C. (2,3) D (-2, -3)
Answer:
[tex]B' = (-2,-3)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,-4)[/tex]
[tex]B = (4,-6)[/tex]
[tex]C = (2,-1)[/tex]
reflection across y
[tex]d = \frac{1}{2}[/tex]
Required
New coordinate of B
When reflected across the y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex](4,-6) \to (-4,-6)[/tex]
Next is a dilation by 1/2
To do this, we multiply the new point by 1/2
So:
[tex]B' = (-4,-6) * \frac{1}{2}[/tex]
[tex]B' = (-4* \frac{1}{2},-6* \frac{1}{2})[/tex]
[tex]B' = (-2,-3)[/tex]
Josh wrote 483 out of an expected 500 words from his essay. How would this ratio be
expressed in decimal form?
Answer:
0.966
Step-by-step explanation:
483:500 = 0.966
i hope this is right x
The required ratio would be 0.966 which is expressed in decimal form.
What is the Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Josh wrote 483 out of an expected 500 words from his essay which is given in the question.
According to the given information, the ratio would be written as:
⇒ 483 : 500
⇒ 483 / 500
Apply the division operation, and we get
⇒ 0.966
Therefore, the required ratio would be 0.966 which is expressed in decimal form.
Learn more about the Ratios here:
brainly.com/question/1504221
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3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632788659361533818279682303019520353018529689957736225994138912497217752834791315155748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035637076601047101819429555961989467678374494482553797747268471040475346462080466842590694912933136770289891521047521620569660240580381501935112533824300355876402474964732639141992726042699227967823547816360093417216412199245863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818347977535663698074265425278625518184175746728909777727938000816470600161452491921732172147723501414419735685481613611573525521334757418494684385233239073941433345477624168625189835694855620992192221842725502542568876717904946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886269456042419652850222106611863067442786220391949450471237137869609563643719172874677646575739624138908658326459958133904780275900994657640789512694683983525957098258226205224894077267194782684826014769909026401363944374553050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382686838689427741559918559252459539594310499725246808459872736446958486538367362226260991246080512438843904512441365497627807977156914359977001296160894416948685558484063534220722258284886481584560285060168427394522674676788952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288797108931456691368672287489405601015033086179286809208747609178249385890097149096759852613655497818931297848216829989487226588048575640142704775551323796414515237462343645428584447952658678210511413547357395231134271661021359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435064302184531910484810053706146806749192781911979399520614196634287544406437451237181921799983910159195618146751426912397489409071864942319615679452080951465502252316038819301420937621378559566389377870830390697920773467221825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539057962685610055081066587969981635747363840525714591028970641401109712062804390397595156771577004203378699360072305587631763594218731251471205329281918261861258673215791984148488291644706095752706957220917567116722910981690915280173506712748583222871835209353965725121083579151X2
Answer:pi
Step-by-step explanation:
pi
Answer:that eqauls pie
Step-by-step explanation:
The circumference of a circle is 28. Contained in that circle is a smaller circle with area 36π. A point is selected at random from inside the large circle. What is the probability the point also lies in the smaller circle?
Answer:
[tex]Pr = \frac{9}{49}[/tex]
Step-by-step explanation:
Given
[tex]d = 28[/tex] --- big circle
[tex]A_2 = 36 \pi[/tex] --- area of small circle
Required
Probability that a point selected lands on the small circle
Calculate the area of the big circle using;
[tex]A_1 = \pi r^2[/tex]
Where
[tex]r = d/2[/tex]
So, we have:
[tex]r = 28/2 = 14[/tex]
This gives:
[tex]A_1 = \pi * 14^2[/tex]
[tex]A_1 = \pi * 196[/tex]
[tex]A_1 = 196\pi[/tex]
The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle
This gives:
[tex]Pr = \frac{36\pi}{196\pi}[/tex]
[tex]Pr = \frac{36}{196}[/tex]
Simplify
[tex]Pr = \frac{9}{49}[/tex]
Jasmine is getting a new playground in her backyard she graphed them playground area on the coordinate grid shown blow Each square on the diagram represents 1 square foot.what is the area of the playground
Answer:
c=72
Step-by-step explanation:
7x8=56
4x8/2=16
56+16=72
Write the ratio 1:8 : 4:2 in its simplest form
Answer:
1/8 and 2/1 or 1:8 and 2:1
Step-by-step explanation:
divide the sum of 15 and 16 by 5
Answer:
6.2
Step-by-step explanation:
15+16=31
31/5=6.2
Step-by-step explanation:
[tex]15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2[/tex]
is (6,-1 ) a solution to this system of inequalities?
y<x+2
y>3-2x
Answer:
Yes
Step-by-step explanation:
-1 < 6 + 2 True
-1 > 3 - 2(6)
-1 > 3 - 12
-1 > -9 True
I need the answer for this, please help!
Answer:
about 66 or 64
Step-by-step explanation:
what percent of 4$ is 60 cents
no links
Answer:
15%
Step-by-step explanation:
You kind of have two ways to do this:
Way 1:
Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.
You can divide 100 by 6.66666667, and get 15%,
Way 2:
Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%
Hope that helps :)
Expand and combine like terms.
(5 - 2x^4) (5 + 2x^4) =
Answer:
25 - 4x^8
Step-by-step explanation:
Use FOIL here.
Combine the first terms of both expressions.
5 * 5 = 25
Combine the outer terms of both expressions.
2x^4 * 5 = 10x^4
Combine the inner terms of both expressions.
-2x^4 * 5 = -10x^4
Combine the last terms of both expressions.
-2x^4 * 2x^4 = -4x^8
(a^x * a^y = a^(x+y).)
Now add those terms.
25 + 10x^4 - 10x^4 - 4x^8
Combine like terms to get:
25 - 4x^8.
Answer:
[tex]25 - 4x^8[/tex]
Step-by-step explanation:
1) [tex](5 - 2x^4) (5 + 2x^4)[/tex]
Simplify using [tex](a - b)(a + b) = a^{2} - b^{2}[/tex]
2) [tex]5^{2} - (2x^4)^{2}[/tex]
Evaluate the power
3) [tex]25 - (2x^4)^{2}[/tex]
4) [tex]25 - 4x^8[/tex]
What is the perimeter of a rectangle whose vertices are (2,7) (8,7) (211) (8,11)?
A) 24
b) 12
c)32
d) 40
e) 20
Answer:
e) 20
Step-by-step explanation:
Segment lengths:
|(2, 7) -> (8, 7)| = |(8-2, 7-7)| = |(6, 0)| = 6
|(8, 7) -? (8, 11)| = |(8-8, 11-7)| = |(0, 4)| = 4
because we know it's a rectangle, we can infer that the other two sides also have lengths 4 and 6, so the perimeter is 4+4+6+6=20
3. Find the surface area of the square pyramid.
plzzz helppp i will give brainliest
Answer:
Hello! answer: 105
Step-by-step explanation:
When doing these for squares you have to do base × height and for triangles you do base × height ÷ 2 So Lets do the triangles sense there more complex so we can get them out of the way. The base for the triangles our 5 and the height is 8 so we will do 5 × 8 = 40 now we will just divide that by 2 so 40 ÷ 2 = 20 now sense we have four identical triangles we will just multiply 20 by 4 so 20 × 4 = 80 now for the 1 in the middle its nice and simple just 5 × 5 so 5 × 5 = 25 now we just add 80 + 25 and 80 + 25 = 105 So 105 is the area! Hope that helps!
What type of function is represented by the table, and for what reason?
A.
linear, because the X values increase at a constant rate
B. Linear, because the graph of the points makes a line
C.
exponential, because the Y values for success of Integer values of eggs have a common ratio of four
D.
exponential, because the Y values for successive Integer values of X have a common ratio of 16
Answer:
D.
Step-by-step explanation:
Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,
2.5 * 16 = 40
40 * 16 = 640
640 * 16 = 10,240
Meaning that the values have a common ratio of 16, and are increasing exponentially.
A store is having a sale on jelly beans and almonds for 3 pounds of jellybeans in 2 pounds of almonds the total cost is $10 for 5 pounds of jellybeans in 6 pounds of almonds the total cost is $24 find the cost of each pound of jellybeans and each pound of almonds
Answer:
each lb of jellybeans = $1.50
each lb of almonds = $2.75
Step-by-step explanation:
let j = jellybean cost for each pound
let a = almond cost for each pound
3j + 2a = 10
5j + 6a = 24
Using elimination method:
15j + 10a =50
15j + 18a = 72
------------------------
-8a = -22
a = 2.75
using 3j + 2a = 10
3j + 2(2.75) = 10
3j + 5.5 = 10
3j = 4.5
j = 1.5
Urgent!
On a math test, a group of students received the following scores:
68, 98, 86, 75, 86, 94, 75, 81, 75
Find the MODE of the test scores.
Answer:
The mode is 75
Step-by-step explanation: It is the one that appears most often
which table represents a function? iready end of year test ! please help!! quick
Answer:
top left
Step-by-step explanation:
a function is if there is only one number that isnt the same as the other x
Can someone explain to me how to do this?
A group of friends wants to go to the amusement park. They have $387.75 to spend on parking and admission. Parking is $5.50, and tickets cost $34.75 per person, including tax. How many people can go to the amusement park?
Answer:
Step 1:
Subtract $19 from total
366.50 - 19 = 347.5
Step 2:
Divide this total by the ticket price
347.50 / 34.75 = 10
Step 3:
You have your answer
10 people can go to the amusement park
Answer:
as many as 11 people
Step-by-step explanation:
n = # of people
5.50 + 34.75n ≤ 387.75
subtract 5.5 from each side to get:
34.75n ≤ 382.25
divide each side by 34.75
n ≤ 11
Two friends Ana and Juan are buying books by joining the History Book
Club.
Ana has to pay a yearly fee of $15 to join. She spends a total of $525 for 30
books. How much was the price per book on average?
Juan has to pay a yearly fee of $10 to join. He spends a total of $350 for 23
books. How much was the price per book on average?
Write a function for Ana and Juan each to model the scenario to figure out
the total cost per book. Who has the better deal? Ana or Juan? Why?
Answer:
Ana spent $17 per book on average.
Juan spent $14.78 per book on average.
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Step-by-step explanation:
Ana has to pay a yearly fee of $15 to join.
She spends a total of $525 for 30 books.
The amount spent on books = Total amount - yearly fee
= $525- $15= $510
Price per book on the average = $510/30= $ 17
Ana spent $17 per book on average.
Juan has to pay a yearly fee of $10 to join.
He spends a total of $350 for 23 books.
The amount spent on books = Total amount - yearly fee
= $350- $10= $340
Price per book on the average = $340/23= $ 14.78≅ $15
Juan spent $14.78 per book on average.
The function can be established if y gives the total cost and x gives the number of books
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Juan has a better deal because the yearly fee is less also the price per book is less.
Please help me with this
Answer:
216in
Step-by-step explanation:
6 + 8 + 10 = 24
24 * 9 = 216
(no links or files) Solve this equation using the quadratic formula. This question should be solved both ways. (1) Quadratic Formula and (2) Factoring
PLEASE HELP.
Select the correct answer.
Solve the system of equations below.
5x + 2y = 9
2x - 3y = 15
Answer:
(3, -3)
Step-by-step explanation:
To solve for a system of equations, use substitution.
First, solve for one variable in an equation.
2x - 3y = 15
Add 3y to both sides.
2x = 3y + 15
Divide both sides by 2 to get x by itself.
x = 1.5y + 7.5
Put this in the other equation.
5x + 2y = 9
Substitute the variable.
5(1.5y + 7.5) + 2y = 9
Distribute the 5 inside the 1.5y + 7.5.
7.5y + 37.5 + 2y = 9
Combine like terms.
9.5y + 37.5 = 9
Subtract 37.5 from both sides.
9.5y = -28.5
Divide both sides by 9.5.
y = -3.
Now take this value and put it in the other equation to get your x.
2x - 3y = 15
Substitute variable.
2x - 3(-3) = 15
Multiply.
2x + 9 = 15
Subtract 9 from both sides.
2x = 6
Divide both sides by 2.
x = 3.
Your pair is (3, -3).
Express the series using sigma notation.
4 + 16 + 64 + 256 + 1,024
Answer:
EASSYYY
Step-by-step explanation:
1364
The series using sigma notation is [tex]^5\sum_{n=1}=4(4)^{n-1}[/tex]. Therefore, option A is the correct answer.
What is the sum of the infinite series formula?The general formula for finding the sum of an infinite geometric series is S=a/r-1, where s is the sum, a1 is the first term of the series, and r is the common ratio.
Given that, sum = 4 + 16 + 64 + 256 + 1024
Using sigma notation, this can be expressed as:
[tex]^5\sum_{n=1}=4(4)^{n-1}[/tex]
Therefore, option A is the correct answer.
Learn more about the sum of the infinite series here:
brainly.com/question/11752555.
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Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?
Answer:
Step-by-step explanation:
taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?
Find the surface area of a sphere with a diameter of 12 mm.
Answer:
A≈4.52×10-4m²
Step-by-step explanation:
Unit Conversion:
d=0.012m
Using the formulas
A=4πr2
d=2r
Solving for A
A=πd2=π·0.0122≈4.52389×10-4m²
Answer:
1809.5574 mm²
Step-by-step explanation:
Input Data :
Length = 12 mm
Objective :
Find what is the surface area of the sphere for given input data?
Formula :
Surface Area = 4πr2
Solution :
Surface Area = 4 x 3.1416 x 122
= 4 x 3.1416 x 144
Surface Area = 1809.5574 mm²
The height of any child in Mr.Diaz’s class is no greater than 46 inches
Answer: h _<_ 46
there’s the line underneath the sign
Step-by-step explanation:
Write a formula for r in terms of θ for the following figure.
please help
marking brainlist
Answer:
270,000,000,000
Step-by-step explanation:
Laura is making a small sign in the shape of a triangle for her store. She wants the height of the triangle to be 4 inches. The area of the sign must be less than 14 square inches. (Laura doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle.
Answer:
{1/2 (b)(h) = Area of a triangle}
1/2(b)(4) < 14
2b<14
B<7 in