Use the table Babysitting$9Pet Walking$6House Sitting$5 Archie has three part-time jobs. The table shows how much moneyhe earns each hour at each job. How much money does Archie makethis wee if he babysits for 4 hours, walks pets for 2 hours, and housesits for hours?Does Archie make more money babysitting for 3 hours or pet walkingfor 4 hours? How much more?
Answers
The given information is:
Archie earns $9/hour for babysitting, $6/hour for pet walking and $5/hour for house sitting.
4. If he babysits for 4 hours, walks pets for 2 hours and house sits for 6 hours he will earn:
\(\begin{gathered} \frac{\text{ \$9}}{hour}\cdot4\text{ hours+}\frac{\text{ \$6}}{hour}\cdot2hours+\frac{\text{ \$5}}{hour}\cdot6hours=36+12+30 \\ \Rightarrow\text{ \$78} \end{gathered}\)He makes this week $78
5. If he babysits for 3 hours he will earn:
\(9\cdot3=27\)$27
And if he walks pets for 4 hours, he will earn:
\(6\cdot4=24\)$24
Thus, he makes more money babysitting for 3 hours than pet walking for 4 hours.
And the difference is $27-$24=$3.
He will earn $3 more.
Related Questions
What is the slope of this line
Answers
Answer: Slope is 0
Step-by-step explanation
the graph's points doesn't change its value on the y - values but the x values change by 1 meaning the slope is 0/1 meaning there is no slope
4 cups to 8 pints write each ratio in simplest form
Answers
Answer:
1:4
Step-by-step explanation:
Convert 8 pints into cups which we can do this by 8x2=16 we can do this because 1 pint=2 cups. So know we have 4:16 which we can simplify to 1:4
Hope this helps :)
9(40÷5+9)+15-9
I need help solving this problem
Answers
Answer:
The answer to the problem is 159
What is the equation of this line?
y=6x−14
y=14x−6
y=6x−4
y=4x−6
Answers
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
The price of a cd was decreased by 2% to £14. What was the price before the decrease?
Give your answer to the nearest penny.
Answers
Answer:
14.28
Step-by-step explanation:
2% of 14 is .28
.28 + 14 = 14.28
Hi!
Since the price was decreased by 2%, that means that 14 is 98% (100% - 2%) of the original price. So, we just have to figure out 98% of what number is 14.
98% can be written in decimal form as 0.98.
We can set up the following equation:
14 = 0.98x
Now, divide both sides by 0.98:
14/0.98 = 14.2857143
The question says to round to the nearest penny, so your answer is
14.29Oder these fractions from least to greatest 3/20, 1/5, 1/2, 1/4
Answers
Answer:
3/20, 1/5, 1/4, 1/2
Step-by-step explanation:
Hope this helps!
Answer:
3/20, 1/5, 1/4, 1/2
Step-by-step explanation:
Well, first make all the denominators the same. The highest is 20, so let's go with that. So making all of the fractions have the same denominator, you have
3/20, 4/20 (1/5), 10/20 (1/2), and 5/20 (1/4).
Order them...
3/20, 4/20, 5/20, and 10/20.
Therefore, your answer is:
3/20, 1/5, 1/4, 1/2.
In given figure AB is the diameter of circle. If ∠CAD = 32° and ∠CPB = 28°. Find ∠CDA.
Answers
Answer:
Therefore, the angle ∠CDA is 58°.
Step-by-step explanation:
∠CDA = 58°
In the given figure, let's consider the angle ∠CDA as x.
Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.
In triangle CAD, the sum of angles is 180°. So, we have:
∠CAD + ∠CDA + ∠CAB = 180°
Substituting the known values:
32° + x + 90° = 180°
Combining like terms:
x + 122° = 180°
Subtracting 122° from both sides:
x = 180° - 122°
x = 58°
Use mental math to solve the proportion. 25 over 40 equals 5 over t
Answers
Answer:
t = 8
Step-by-step explanation:
create the proportion
\(\frac{25}{40} =\frac{5}{t}\)
\(\frac{25}{40}\) simplifies down to \(\frac{5}{8}\)
t = 8
Answer:
8
Step-by-step explanation:
25/40=5/t
0.625=5/t
0.625*t=5
(0.625*t)/0.625=5/0.625
t=8
Item 9 You put $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate? The annual interest rate is %.
Answers
Answer:
0.06 or 6%
Step-by-step explanation:
I=Prt, so r= 1/(Pt)
T= 9 months/12 months=0.75
R=$18/($400*0.75)=0.06 or 6%
Note the * is times
What is the meaning of "the group of rotations and symmetries of the configuration"?
Answers
The group of rotations and symmetries of a geometric configuration is the group of isometries.
Define the term "the group of rotations and symmetries of the configuration" in given paragraph?According to the above paragraph, "the group of rotations and symmetries of the configuration" refers to the group of isometries of a geometric configuration that preserve the configuration itself, without involving any translations. This group consists of rotations about a fixed point and symmetries about a straight line that pass through that point.
This group is formed by combining isometries of the configuration through the operation of composition, and it satisfies certain properties, such as closure, associativity, identity, and inverses. It is a useful tool for studying the symmetries and transformations of the configuration, and it is used in fields such as crystallography and quantum mechanics.
In summary, the group of rotations and symmetries of a geometric configuration is the group of isometries that preserve the configuration and can be composed with each other to obtain new isometries.
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For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answers
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
What is the solution to the equation
2x=5
Answers
Answer:
5/2 or 2.5
Step-by-step explanation:
Divide both sides by 2.
Mean is 22 and standard deviation is 0.2, what is the spread
Answers
Answer:
:v What??
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.........
.
........
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Answer:
0.04
Step-by-step explanation:
Standard deviations== square root of variance define as spread.
Standard deviations square = variance
[0.2]^2= 0.04
ALGEBRA please put a very small explanation to the awnser
Answers
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Can i get help to find the length of EG?
Answers
Answer:
EG = 20
Step-by-step explanation:
given that F is on segment EG , then
EG = EF + FG , that is
5x = 2x + 2x + 4
5x = 4x + 4 ( subtract 4x from both sides )
x = 4
Then
EG = 5x = 5(4) = 20
Find u + v if u = (-4,7, 2) and v = (4,1, -3)
Answers
To get this answer, you add up the corresponding coordinates.
The x coordinates add to -4+4 = 0
The y coordinates add to 7+1 = 8
The z coordinates add to 2+(-3) = -1
Another way to express this is to consider
u = (a,b,c)
v = (d,e,f)
which add to u+v = (a+d,b+e,c+f)
Classify the following triangle. Check all that apply.
A. Right
B. Acute
C. Equilateral
D. Scalene
E. Obtuse
F. Isosceles
Answers
Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assists (each is worth one point). Suppose he is paid a bonus of 3K for a goal and 1K for an assist. (a) Find the mean and standard deviation for the total revenue he earns per game. (b) What is the probability that he has four goals and two assists in one game
Answers
Answer:
a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
b) 0.05 = 5% probability that he has four goals and two assists in one game
Step-by-step explanation:
In hockey, a point is counted for each goal or assist of the player.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
\(\mu\) is the mean in the given interval. The standard deviation is the square root of the mean.
(a) Find the mean and standard deviation for the total revenue he earns per game.
60% of six are goals, which means that 60% of the time he earned 3K.
40% of six are goals, which means that 40% of the time he earned 1K.
The mean is:
\(\mu = 6*0.6*3 + 6*0.4*1 = 13.2\)
The standard deviation is:
\(\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63\)
The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
(b) What is the probability that he has four goals and two assists in one game
Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.
Probability of four goals:
60% of 6 are goals, which means that:
\(\mu = 6*0.6 = 3.6\)
The probability of scoring four goals is:
\(P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122\)
Probability of two assists:
40% of 2 are assists, which means that:
\(\mu = 6*0.4 = 2.4\)
The probability of getting two assists is:
\(P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127\)
Probability of four goals and two assists:
\(P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05\)
0.05 = 5% probability that he has four goals and two assists in one game
the gcf of 32,16 please im giving points
Answers
Lois and her team used the number of red candies in a
small 9 ounce bag to predict the number of red candies in
a large 33 ounce bag. If Lois counted 12 red candies in the
small bag, Predict the number of red candies in the large bag.
Use proportional reasoning and show algebraic work.
Answers
Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:
P = Proportion of red candies in the large bag
R = Red candies in the small bag
R × (33/9) = P
12 × (33/9) = P
P = 40 red candies in the large bag
Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
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Determine the equation (picture).
Answers
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
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(3.5x10^4)+(6.8x10^4)
Answers
Answer:
103000
Step-by-step explanation:
3.5 × \(10^{4}\) + 6.8 × \(10^{4}\)
Calculate 10 to the power of 4 and get 10000.
3.5 × 10000 + 6.8 × \(10^{4}\)
Multiply 3.5 and 10000 to get 35000.
35000 + 6.8 × \(10^{4}\)
Calculate 10 to the power of 4 and get 10000.
35000 + 68000
Add 35000 and 68000 to get 103000.
103000
Answer:
Couple of choice:
A. If those x's are the multiplication symbol then your answer is 103,000
B. If those x's are variables then you don't have a definite answer.
Step-by-step explanation:
Explanation for A:
We use PEMDAS and start inside the parentheses
We do exponents before multiplication and get 10,000 for 10^4
10,000*3.5= 35,000
10,000*6.8=68,000
35,000+68,000=103,000
Explanation for B:
If the x's are variables then your question is just and expression. Without it being equal to anything, I can't solve for x. Also if the question was asked as, "What is (3.5x10^4)+(6.8x10^4), when x = 5 (or any random number)" I could solve it because I know the value of x being asked. Maybe try posting the question again if this is what you meant
.0135÷4.5??? help!!
Answers
you can always use a calculator :)
Answer:
0.0135/4.5 = 0.003
Good night
The prize of a television was reduced from $250 to $200.
By, what percentage was the price of the telivision
reduced?
F 20%
G 25%
H 80%
J 50%
Answers
Answer: F 20%
Step-by-step explanation:
50 is 20% of 250
Pls help I need a good grade
Answers
Answer:
Carl is B
Paul is A
Step-by-step explanation:
Answer:
Paul Broca - A
Carl Wernicke - B
Step-by-step explanation:
The table below shows the number of marbles of each color sold in a single box. There are a total of 25 marbles in the box.
Marbles in the Box
Color
Number
red
11
blue
11
green
3
The likelihood of an event occurring may be described as being certain, more likely, equally likely, less likely, or impossible
Answers
We will find the probability of getting each color of marble, and we will see that getting red and blue is equally likely, while getting green is less likely.
How to find the probabilities for each color of marble?
If we draw a marble at random from the box, all of them will have the same probability of being drawn.
Then the probability of getting a given color is given by the quotient between the number of marbles of that color and the total number of marbles.
Probability of getting red:
P = 11/25 = 0.44 This is really close to 50%, so this is equally likely.
Probability of getting blue:
P = 11/25 = 0.44 This is really close to 50%, so this is equally likely.
Probability of getting green:
P = 3/25 = 0.12 This is really close to 0%, so this is less likely.
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Find the unit rate.
1/4 gallon for every 3/10 miles
The unit rate is:
Answers
Answer:
1.2 miles/gal
Step-by-step explanation:
I assume you want miles per gallon
3/10 mile / 1/4 gallon = 3/10 * 4/1 = 12/10 = 1.2 miles per gallon
if you want gallons/mile
1/4 gallon / 3/10 mile = .8333 gallon/mile
Please help I need it asap pls pls pls
Answers
Answer:
1 person = 0.75
1 person = 3/4
Step-by-step explanation:
This answer is at best a guess. It seems to me that you are constructing a circle graph, and I would like that confirmed.
The total number of people in the survey is
Total in survey = 96 + 60 + 24 + 96 + 204
Total in survey = 480
A circle contains 360 degrees.
480 people have 360 degrees of circle room
1 person has x degrees of circle room
480 / 1 = 360 / x
Cross multiply
480 x = 360 *1 Divide both sides by 480
x = 360 / 480
x = 0.75
One person takes 3/4 of a degree of the circle.
So the number of people wanting to go to the UK would be
96 * 0.75 = 72 degrees,
For each part of the table, just use what the frequency is for that entry where 96 is now.
A cube has a side length of 20 in . find the value
Answers
Unions, intersections, and complements involving 2 sets
Sets B and C are subsets of the universal set U.
These sets are defined as follows.
U={f, k, m, s, x, y, z)
B={k, s, y}'
C={s,z}
(a) B'UC' = 1
(b) B'nc =
Answers
Intersection of B'∩C = {k, y}
To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.
1. Complement of set B (B'):
The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.
2. Intersection between B' and C:
Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.
The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.
So, the answer to (b) is B'∩C = {k, y}.
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