Answer:
249.40
Step-by-step explanation:
How to calculate amount of work?
According to this question, Jaida worked 21 ½ hours last week and earned $11.60 per hour of work.
If Jaida earned $11.60 per hour, this means that Jaida earned 21.5 × 11.6 = $249.4.
Therefore, If Jaida worked 21½ hours last week and earned $11.60 per hour of work. The amount of money Jaida earned last week is $249.4.
Triangle JKL is similar to triangle PQR, find t. The sides of JKL measures
sJL = 4.5 sLK = 1.5 sJK = 5. The sides of PQR measures sQP = 25 sRP = 22.5 and sRQ = t
The length of side RQ in triangle PQR is 7.5.
Given,
ΔJKL ≈ ΔPQR
Therefore, sides are in same ratio to each other i.e.
[tex]\frac{QP}{JK}=\frac{RP}{JL}=\frac{RQ}{LK}[/tex]
[tex]\frac{25}{5} =\frac{22.5}{4.5}= \frac{t}{1.5}[/tex]
Therefore,
5 = t/1.5
t = 5*1.5
t = 7.5
Hence, length of RQ is 7.5.
Correct question,
Triangle JKL is similar to triangle PQR, find t. The sides of JKL measures
sJL = 4.5 sLK = 1.5 sJK = 5. The sides of PQR measures sQP = 25 sRP = 22.5 and sRQ = t. Find the length of RQ.
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if you buy one ticket in the virgina lottery, then the probability that you will win a prize is 0.22. if you buy one ticket each month for six months, what is the probability that you will win at least one prize?
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Each square below represents one whole.
(one square - all shaded in of 4)
(second square - 3 shaded in of 4)
What percent is represented by the shaded area?
Answer:
The percent being represented by the shaded area is [tex]175\%[/tex]
Step-by-step explanation:
The percent being represented by the shaded area can be calculated as follows
The first step is to evaluate the left square
Since each square represents one whole, and since the left square is all shaded in of [tex]4[/tex] then the percent being represented by the shaded area in the left square is
[tex]1=\frac{4}{4}=\frac{100}{100}=100\%[/tex]
The percent being represented by the shaded area in the first or the left square is [tex]100\%[/tex]
The second step is to evaluate the right square
Since the right or the second square is [tex]3[/tex] shaded in of [tex]4[/tex], then the fraction being represented by the shaded area in the second square is
[tex]\frac{3}{4}[/tex]
The third step is to convert [tex]\frac{3}{4}[/tex] into the percent form by the following equation
[tex]\frac{3}{4}=\frac{x}{100}[/tex]
Where [tex]x[/tex] is the percent value for the second square
Multiply both side by [tex]100[/tex] to isolate [tex]x[/tex]
[tex]\frac{3}{4}\times 100=\frac{x}{100}\times 100[/tex]
Simplify the equation
[tex]\frac{300}{4}=x[/tex]
Simplify the left side of the equation
[tex]75=x[/tex]
Since the value of [tex]x[/tex] is [tex]75[/tex], then the percent being represented by the shaded area in the second square is [tex]75\%[/tex]
The fourth step is to calculate the total percent being represented by the all shaded area
Since the total percent is the sum of the percent for the first square and the percent for the second square, then it follows
[tex]\text{Total percent}=100\%+75\%[/tex]
Simplify the equation
[tex]\text{Total percent}=175\%[/tex]
Hence the percent being represented by the shaded are is [tex]175\%[/tex]
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a club has 58 members, 38 men and 20 women. a committee must consist of 8 people. in how many ways can the committee consist of at most 1 woman?
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
6C1 * 7C5 = 6 * 21 = 126 1 man6C2 * 7C4 = 15 * 35 = 525 2 men6C3 * 7C3 = 20 * 35 = 700 3 men6C4 * 7C2 = 15 * 21 = 315 4 men6C5 * 7C1 = 6 * 7 = 42 5 men6C6 = 1 6 mennumber of different committees with at least 1 man126+525+700+315+42+1= 1,709or13C6 = 1716 number of committees with 6 people7C6 = 7 number of committees with no men1716 - 7 = 1,709 number of committees with at least 1 manlearn more about probability click here:
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Write an equation in standard form for the line that passes through the given points.
(2,- 8) and (2, - 4)
Answer:
x = 2
Step-by-step explanation:
calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 8 ) and (x₂, y₂ ) = (2, - 4 )
m = [tex]\frac{-4-(-8)}{2-2}[/tex] = [tex]\frac{-4+8}{0}[/tex] = [tex]\frac{4}{0}[/tex]
since division by zero is undefined then the slope is undefined
a line with undefined slope is a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (2, - 8 ) and (2, - 4 ) with x- coordinates 2 , then
x = 2 ← equation of line
Paula runs a bakery. She estimates that her weekly cost of rent and electricity is $250. The ingredients to bake one cake cost $4. Which equation represents the total cost to Paula’s bakery per week, y, if x number of cakes are made?
The linear function that represents the total cost per week is y = 4x + 250
Linear FunctionA linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. The y-intercept and slope are represented by c and m respectively.
The equation can be represented in the form of y = mx + c
Data;
y = Total weekly costx = number of cakes bakedc = fixed costm = cost per unit of cakeThe equation to represent the amount spent weekly is y = 4x + 250
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A quantity with an initial value of 5500 grows continuously at a rate of 0.95% per
day. What is the value of the quantity after 6 weeks, to the nearest hundredth?
Answer:
8196.83
Step-by-step explanation:
You want the quantity after 6 weeks of a value initially 5500 and growing at a continuous rate of 0.95% per day.
Continuous growthWhere r is the growth rate in some time period, the value after t periods is ...
value = initial value × e^(rt)
ApplicationHere we have an initial value of 5500, a growth rate of 0.95% = 0.0095, and a time period of 1 day. We want the value after 6 weeks, or 6·7 = 42 days.
That value is ...
value = 5500·e^(0.0095·42) = 5500·e^0.399 ≈ 8196.83
After 6 weeks, the quantity is 8196.83.
The value of quantity grows to 8196.83 at exponential rate.
What is exponential rate?
Exponential growth may be a method that will increase amount over time. It happens once the instant rate of modification (that is, the derivative) of a amount with relevancy time is proportional to the amount itself.
Main body:
Continuous growth
Where r is the growth rate in some time period, the value after t periods is value = initial value × [tex]e^{rt}[/tex]
Here we have an initial value of 5500, a growth rate of 0.95% = 0.0095, and a time period of 1 day. We want the value after 6 weeks, or 6·7 = 42 days.
That value is ...
value = 5500·e^([tex]e^{0.0095*42}[/tex]) = 5500·[tex]e^{0.399}[/tex] ≈ 8196.83
After 6 weeks, the quantity is 8196.83.
Therefore the value of quantity grows to 8196.83
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2. The value of a baseball card in dollars has been found to be 0.42y+068, where y is
the number of years since it was released. By how much is the baseball card's value
increasing per year?
3. In the expression 300(2^t), what does 300 represent?
The rate of increase in the value of the baseball card per year is 0.42.
The value of a baseball card in dollars has been found to be 0.42y + 068, where y is the number of years since it was released. We need to find out by how much the value of the baseball card is increasing per year. Let the value of the baseball card be denoted by the variable "V".
V = 0.42y + 068
The value of the baseball card when it has been x years since it was released is : V1 = 0.42x + 068. The value of the baseball card when it has been (x + 1) years since it was released is : V2 = 0.42(x + 1) + 068.
The increase in the value of the baseball card per year is the difference in the values in any two consecutive years.
I = V2 - V1 = [0.42(x + 1) + 068] - [0.42x + 068] = 0.42
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Solve 24-3r≥-9.
Solution:
Graph the solution.
-10 -8
-6
-4
-2
0
2
+
4
4
Graph D represent the function.
Function is a representation of continue graph which can't be break so B and C are eliminated from the option.
1. Draw all possible linea parallel to Y- axis
2. If any line cuts the graph at two or more than two points then it is not a function
Reason:- function ka definition hai, element of A related to Only single (one/unique) element in set B.
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Graph D represent the function
Function is a representation of continue graph which can't be break so B and C are eliminated from the option.
1. Draw all possible linea parallel to Y- axis
2. If any line cuts the graph at two or more than two points then it is not a function
Reason:- function ka definition hai, element of A related to Only single (one/unique) element in set B.
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PLEASE HELP!! ASAP!!! 10 POINTS! SCREENSHOT INSERTED BELOW
The equation for the line given on the graph is y = 30x , the correct option is (c) .
In the question ,
it is given that
the cable length varies directly with the amount of time it passes .
let the cable length that is wound on the spool be " y " , and
let the time it passes be " x " .
since they vary directly , it can be denoted by
y ∝ x
So , the equation is , y [tex]=[/tex] k*x
from the graph we see that when x = 1 , the value of y is 30 .
On substituting x = 1 and y = 30 in the equation y = k*x
we get ,
30 = k*1
So , k = 30 .
Substituting k = 30 , we get
the equation as y = 30x .
Therefore , The equation for the line given on the graph is y = 30x .
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which statement is correct? A. ED intersects AB. B. EC is perpendicular to DB. C. AE and DB intersects at point C. D. EB is perpendicular to AC.
The only true statement is line segment ED intersects line segment AB.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
From the given diagram and going through the options we can surely conclude that line segment ED intersects line segment AB.
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one card is to be selected at random from a deck of cards. find the probability that the card selected is: a) a 5 b) not a 5 c) a diamond or king d) a jack or queen e) a heart and a club f) a card greater than 6 and less than 9
The probability of outcome to be a 5 is 1/13. The probability of outcome not be 5 is 12/13. The probability of outcome to be a diamond or a king is 4/13. The probability of the outcomes to be a jack or a queen is 2/13. The probability of The outcome to be a heart and a club is 0 and the probability of the outcomes to be a card greater than 6 and less than 9 is 2/13.
A deck contains a total of 52 cards.
Total outcomes if the selected number of cards is one=52
Case A:
Each suit contain one 5 numbered card. There are four suits. Therefore, The required outcome would be 4.
Probability of an outcome is the ratio of desired outcomes to the total outcomes.
The probability of outcome to be 5, P(A):
P(A)=4/52
P(A)=1/13
Case B:
The total probability of outcomes=52/52=1
The probability of the outcome to be 5=1/13
Therefore, the probability of the outcome not to be 5, P(B):
P(B)=1-(1/13)
P(B)=12/13
Case C:
Each suit carries a king. Therefore, the probability of the outcome to be a king, P(M):
P(M)=4/52
P(M)=1/13
A suit carries 13 cards. Therefore, there will be 13 cards of diamonds.
The probability of the outcome to be a diamond, P(N):
P(N)=13/52
P(N)=1/4
The probability that the outcome is a king of diamonds, P(M[tex]\cap[/tex]N):
P(M[tex]\cap[/tex]N)=1/52
Hence, the probability that the outcome is a diamond or a king, P(M[tex]\cup[/tex]N):
P(M[tex]\cup[/tex]N)=P(M)+P(N)-P(M[tex]\cap[/tex]N)
P(M[tex]\cup[/tex]N)=(1/13)+(1/4)-(1/52)
P(M[tex]\cup[/tex]N)=16/52
P(M[tex]\cup[/tex]N)=4/13
Case D:
Each suit carries a Jack. Therefore, the probability of the outcome to be a jack, P(P):
P(P)=4/52
P(P)=1/13
Each suit carries a Queen. Therefore, the probability of the outcome to be a Queen, P(Q):
P(Q)=4/52
P(Q)=1/13
The probability that the outcome is a jack and a queen, P(P[tex]\cap[/tex]Q):
P(P[tex]\cap[/tex]Q)=0/52
P(P[tex]\cap[/tex]Q)=0
Hence, the probability that the outcome is a jack or a queen, P(P[tex]\cup[/tex]Q):
P(P[tex]\cup[/tex]Q)=P(P)+P(Q)-P(P[tex]\cap[/tex]Q)
P(P[tex]\cup[/tex]Q)=(1/13)+(1/13)-0
P(P[tex]\cup[/tex]Q)=2/13
Case E:
A card is never a heart and a club. Therefore, the probability of a card to be a heart and a club is 0.
Case F:
The numbers greater than 6 and less than 9 are the numbers between 6 and 9. The numbers between 6 and 9 are 7 and 8.
Each suit carries one 7 numbered card and one 8 numbered card. There is a total of 4 suits.
Therefore the desirable outcomes=8
The probability of the outcome required=8/52
=2/13
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A line has a slope of 0 and passes through the point (3, 4) . What is its equation in slope -intercept form?
Someone please help me answer 4(x-3)=12
We move all terms to the left:
4(x - 3) - (12) = 0Multiply
4x - 12 - 12 = 0We add all the numbers and all the variables.
4x - 24 = 0We move all terms containing x to the left hand side, all other terms to the right hand side
4x = 24x= 24/4x = 6Wha is the answer to 5+v=-9 ?
Answer:
v=-14
Step-by-step explanation:
Subtract 5 from both sides
5+v=-9
-5 -5
v=-14
jason is working as chief financial officer for a global finance company based in melbourne. he is planning to have a video-conference call with his counterpart in london. when it is 5pm in melbourne, he found out that its 8am in london. if the counterpart likes to have a video call with him 5pm on friday london time, what time will it be in melbourne?
If the counterpart likes to have a video call with him 5 pm on Friday London time, it will be 2 am on Saturday in Melbourne.
Given in ques,
When it is 5 pm in Melbourne, he found out that its 8 am in London.
The time difference is of 9 hours with Melbourne's time being ahead.
So, when its 5 pm on Friday in London, Melbourne's time will be ahead by 9 hours which would be 2 am on Saturday.
Hence, it would be 2 am in the morning on Saturday in Melbourne when its 5 pm in the evening on Friday in London.
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From the top of a cliff, it was observed that the angle of depression of the top of a vertical pole is 45° and the angle of depression of the foot of the pole is 60°. if the pole is 5m high, calculate the height of the cliff to 3 s.f
The required height of the cliff is 5√3/(√3)-1.
What is angle of depression?The angle of depression is defined as the If a human looks down at an object, then the angle of depression of that human is the angle between the horizontal line of sight and the object.
According to given data in the question:we have, angle of depression to top of pole = 45°
that of to foot of pole = 60°
Height of pole is 5 meter.
Then distance between tower is = 5+x/√3 ∴ tan(theta)=P/B
and, tan(45) = x/5+x/√3 = √3x/5+x =1 ∴ tan(45) =1
5+x =√3x
X = 5/(√3)-1
Now height of cliff = 5+5/(√3)-1 = 5√3/(√3)-1 meter
Thus, the height of cliff is 5√3/(√3)-1.
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The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.
Buckets 2 5 7
Price (dollars) 14.50 36.25 50.75
Determine the constant of proportionality.
14.5
7.25
21.75
8.25
Answer:
B) 7.25Step-by-step explanation:
Proportional relationship equation:
y = kx, where k-constant of proportionalityIn the given table, number of buckets represent input values (x) and the price represents output values (y).
We have for the first column:
x = 2, y = 14.50Find the value of k by plugging in the values of x and y:
14.50 = 2kk = 14.50/2k = 7.25Same result will be obtained with the other columns, therefore the constant of proportionality is 7.25.
Answer:
b) 7.25
Step-by-step explanation:
Formula we use,
→ y = kx
→ k = y/x
Now the value of k will be,
→ k = y/x || → k = y/x
→ k = 14.5/2 || → k = 36.25/5
→ [ k = 7.25 ] || → [ k = 7.25 ]
Hence, the answer is 7.25.
sarah did 5 math exams and scored 54, 45, 76, 33, 76. what is the difference between the mean and the median?
Answer:
2.8
Step-by-step explanation:
mean = 54+45+76+33+76= 284
284÷5=56.8
median ,to find median you first arrange the numbers in an accending order
33,45,54,76,76 then you find the middle number which is 54
56.8-54=2.8
Answer:
2.8 marks
Step-by-step explanation:
33, 45, 54, 76, 76
mean score = (54 + 45 + 76 + 33 + 76) ÷ 5
= 56.8
median score = (5 + 1) ÷ 2
= 3rd place
= 54
diff between mean and median score = 56.8 - 54
= 2.8
I thought of a three digit number. Each digit is the square of the digit to the right. What is my number
Answer:
111
Step-by-step explanation:
1 is squared of the right one so ya
Is each product less than 1, equal to 1, or greater than 1?
Place each product into the correct box.
1/2x4 1/2x1 1/4x3
The product is greater than 1 < 8.4375
Given:
In the question:
Product the following question:
1/2 x 4[tex]\frac{1}{2}[/tex] x [tex]1\frac{1}{4}[/tex] x 3
Now, According to the question;
1/2 x 4[tex]\frac{1}{2}[/tex] x [tex]1\frac{1}{4}[/tex] x 3
Solve the mixed fraction:
1/2 x 9/2 x 5/4 x 3
Write as a single fraction:
(9 x 5 x 3) / (2 x 2 x4)
Calculate the product or quotient:
= 135/ 16
= 8.4375
Hence, The product is greater than 1 < 8.4375
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PLEASE REALLY HELP! WILL GIVE BRAINLYEST IF YOU REMIND ME AND FOR THE CORRECT ANSWER!! PLEASE HELP!!!
Liz and Caroline are playing checkers. Out of 12 games, Liz wins six. At this rate, how many games will she win if they play 84 games ?
Answer:
42 games
Step-by-step explanation:
she lost 6 and won 6 so if she played 84 games she will win 42 and lose 42
A publihing company find that the cot of publihing each copy of a magazine i #50,000 while the ale revenue i#80,000 per copy. Fixed cot i #600,000. How many copie mut be publihed and old in order to make profit of #1,200,000
In order to make profit of 1,200,000, the company should publish 180 copies of magazine.
The formula for the profit is given by:
Profit = revenues - total cost.
Meanwhile, the total cost consists of fixed cost and variable cost.
Total cost = fixed cost + price per unit x number of units sold
Parameters given in the problem:
Fixed cost = 600,000
variable cost = 50,000 per unit
selling price = 60,000 per copy
profit = 1,200,000
Let q be the number of copies sold, then:
Revenues = 60,000 q
Total cost = 600,000 + 50,000 q
Profit = 60,000 q - (600,000 + 50,000 q)
1,200,000 = 60,000 q - (600,000 + 50,000 q)
10,000 q = 1,800,000
q = 1,800,000 / 10,000 = 180
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I need help on my math hw can someone help me its 11 over 99 ₓ 44 over 99 . I have to write it in simplest form can somebody anyone give me the answer pleaseeeeeeeee I will give 17 points.
Answer:
4 over 81
use a calculator then simplify
write the formula to find the sum of 1st 'n' term of a ap with and the last terma
The sum of the first 'n' terms can be expressed as [tex]S_n=\frac{n}{2}[2+(n-1)][/tex]
and the last term will be [tex]t_n = 1+(n-1)[/tex], where a is the first term of A.P. and 'd' is a common difference.
What is an arithmetic progression?
An arithmetic progression or arithmetic sequence is a number sequence in which the difference between consecutive terms is constant. For example, the sequence 5, 7, 9, 11, 13, 15.. is an arithmetic progression with a common difference of 2.
The first 'n' terms will be 1, 2, 3, 4, 5, 6, ...., n
The above sequence is an A.P. because it has a constant common difference of '1' between each consecutive number.
So a = 1, d = 1
By using the standard formula, we get
[tex]S_n=\frac{n}{2}[2a+(n-1)d]\\\\S_n=\frac{n}{2}[2+(n-1)][/tex]
and for the last term
[tex]t_n=a+(n-1)d\\\\t_n=1+(n-1)[/tex]
Hence, the sum of the first 'n' terms can be expressed as[tex]S_n=\frac{n}{2}[2+(n-1)][/tex]
and the last term will be [tex]t_n = 1+(n-1)[/tex], where a is the first term of A.P. and 'd' is a common difference.
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6·3+6-4+6·5
6 · 3 + 6 · 4 + 6 · 5 + 6 · 8 + 2[3 · 4+ (3 · 4)]
Answer:
6·3+6-4+6·5
6 · 3 + 6 · 4 + 6 · 5 + 6 · 8 + 2[3 · 4+ (3 · 4)]=168
Answer:
one on top is 50
Step-by-step explanation:
Mamadou’s car used 2 2/3 gallons to travel 76 miles. How many miles can the car go on one gallons of gas?
PLEASE HELPP!!!!
The car can go 28.5 miles in 1 gallon of gas.
According to the question,
We have the following information:
Mamadou’s car used [tex]2\frac{2}{3}[/tex] gallons to travel 76 miles.
Now, we can easily find the distance covered by car in one gallon of gas but we will first convert the gas given from mixed fraction.
8/3 gallons of gas = 76 miles
Now, the distance covered in 1 gallon of gas can be found by dividing 76 by 8/3.
1 gallon of gas = 76/(8/3)
1 gallon of gas = 57/2 miles
1 gallon of gas = [tex]28\frac{1}{2}[/tex] miles or 28.5 miles
Hence, the car can go 28.5 miles in 1 gallon of gas.
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Please help!! A person climbs a mountain road from the base to the summit at a speed of 45 m/min and descents the same road from top to bottom at a speed of 60 m/min. When comparing the length of time, there is a 20 minute difference between the climbing and descending times. How many meters is it from the base to the summit of the mountain?
The distance from the base to the summit of the mountain is 3600 meters
The speed when going from base to summit = 45 meter / minute
The time taken for going from base to summit = x minutes
The speed when descents from top to bottom = 60 meter / minute
The time taken for descents from top to bottom = x - 20 minutes
The speed = Distance / Time
The Distance = Speed × Time
Here in both case the distance is same
Then
45x = 60(x-20)
Solve the equation
45x = 60x - 1200
60x - 45x = 1200
15x = 1200
x = 1200/15
x = 80 minutes
Then the distance = 45x
= 45×80
= 3600 meters
Hence, the distance from the base to the summit of the mountain is 3600 meters
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Graph the following system of inequalities.
Y≥x - 2
Y ≤ 4x - 2
