Answer: $174.09
Step-by-step explanation:
$16.80 times 8.5 hours equals 142.8 plus $31.29 equals $174.09
Luke charged 174.09 dollars for a job that took 8.5 hours to complete.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Multiplication is the operation that is used to determine the product of two or more numbers.
Given that Luke charges a flat fee of $31.29 additional $16.80 per hour.
Therefore, we will multiply the charge by 8.5 hours to complete,
$16.80 x 8.5 hours = 142.8
In addition of charge $16.80 per hour;
$16.80 + $31.29 = $174.09
Hence, Luke charged 174.09 dollars for a job that took 8.5 hours to complete.
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Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Some number increased by two A) a ÷ 2
A variable decreased by two B) y2
Product of an unknown value and two C) 2z
Quotient of some number and two D) x − 2
An unknown value squared E) b + 2
Answer:
some number increased by two: (E) b+2
A variable decreased by two: (D) x-2
Product of an unknown value and two (C) 2z
Quotient: (A) a / 2
An unknown value squared: (B) y2
Mary is going for a 3.5 km walk.
So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill.
What fraction of the walk does she have left?
Mary has left with a 1 kilometer i.e. \(\frac{2}{7}\) of the journey is incomplete
Given that Mary is going for a 3.5 km walk. So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill and asked to find the fraction of the walk she has left
Total journey distance = 3.5 kilometers
Distance walked by mary on the bridge=0.6 kilometers
Distance walked by mary through the park=1.55 kilometers
Distance walked by mary up the hill=0.35 kilometers
Total distance traveled by mary=(0.6+1.55+0.35)kilometers
Total distance traveled by mary=2.5 kilometers
The distance left=3.5 kilometers-2.5 kilometers
The distance left=1 kilometer
1 kilometer is \(\frac{2}{7}\) of the journey by assuming 3.5 kilometer will complete the jouney
Therefore, Mary has left with a 1 kilometer i.e. \(\frac{2}{7}\) of the journey is incomplete
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The area of a triangle is 48 square inches. If the base of the triangle is 8 inches, what is the height?
Answer:
height = 12
Step-by-step explanation:
The formula for the area of a triangle is: \(\frac{1}{2}(b*h)\) = A
A = area of a triangle
b = base
h = height
The problem states that the area (A) of triangle is 48, and the base (b) is 8, so we can plug those values into the equation above:
48 = \(\frac{1}{2}(8*h)\)
Let's solve for h now:
48 = \(\frac{1}{2}8h\)
48 = 4h
h = 48/4
h = 12
Answer:
12 inches
Step-by-step explanation:
Formulae (Area of a triangle): 1/2 × Measure of Base × Measure of Height
Given Information:
Area of triangle = 48 in²Measure of Base = 8 inSubstitute the information into the formula to create an equation;
⇒ 1/2 × Measure of Base × Measure of Height = Area of a triangle⇒ 1/2 × 8 in × Measure of Height = 48 in²Solve the equation to find out the measure of the height;
⇒ 4 in × Measure of Height = 48 in²⇒ Measure of Height = (48 in²)/(4 in)⇒ Measure of Height = (48 in)/(4) = 12 inchesTherefore, the measure of the height is 12 inches.
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3x+2y=4 solve for y
Answer:
\(y=-\frac{3}{2}x+2\)
Step-by-step explanation:
Jenna and Benito each marked 1/4 on a number line the length of the part from 0 to 1/4 on Jenna number line is shorter than on Benito’s did someone make a mistake?
Yes, one of them made a mistake either Jenna did or Benito did or else both made the mistake.
Given that,
Jenna and Benito each marked 1/4 on a number line the length of the part from 0 to 1/4 on Jenna's number line is shorter than on Benito’s did someone make a mistake is to be justify.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
If both of them marked same measure on the number line,
Possibilities
1) one them made a mistake
(2) both of them made a mistake
Thus, Yes, one of them made a mistake either Jenna did or Benito did or else both made the mistake.
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Tom makes $200 per week working a part-time
job. He pays $300 per month for his share of the
rent where he lives. How much money does he
have left for other expenses in one year?
Answer:
$6000
Step-by-step explanation:
200 dollars a week
spends 300 dollars every month
200 dollars*4 weeks in a month = 800 a month
800 dollars a month - 300 dollars spent every month = 500 remaining after each month
500 dollars a month remaining*12 months in a year = 6000 dollars left for other expenses in one year.
Hope this helps!
Answer:$6000
Step-by-step explanation:
there are 4 weeks in a month and he makes $200 a week so i multiplied it by 4 which equals $800 then i subtracted $300 for the monthly rent then i multiplied that by 12 and that got me to a total of $6000
The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = f(x) – g(x) h(x) = g(x) – f(x)
The equation that represents h(x) is D. h(x) = g(x) – f(x)
From the given table, it can be noted that the values of x, f(x), g(x), and h(x) is given and there are corresponding values.
What is an Equation?This refers to the formula that expresses the equality of two expressions that makes use of the equals sign.
Therefore, the corresponding values for
x: 1
= 3 for f(x)18 for g(x)15 for h(x)When x: 2
9 for f(x)21 for g(x)12 for h(x)When x: 3
27 for f(x)24 for g(x)-3 for h(x)Thus, the equation that represents h(x) is D. h(x) = g(x) – f(x)
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Answer: The answer is D, the fourth one.
Step-by-step explanation: The answer is D, the fourth one.
Ed2022
Each of these parts is
1/2
of a different whole.
Which is part of the largest whole?
(please do not delete this question!)
Answer:
C
Step-by-step explanation:
Since C is the largest half, then C is part of the largest whole.
Answer: C
Which of the following will have the same value as 350 × 10?
Answer: 3500x1 or 35x100
Step-by-step explanation:
350x10=3500
3500x1=3500
35x100=3500
Discussion Topic
Explain 2 different ways we use rates outside of class. Explain 2 ways we use
percentages outside of class. Be specific and explain why understanding rates and
percentags is important.
Two ways we use rate out of class
interest ratesexchange ratesTwo ways we use percentages outside of class
Discounts and salestax ratesTwo different ways we use rates outside of class are:Interest rates: Interest rates are used in financial transactions such as loans, mortgages, and investments. Understanding interest rates is important to make informed decisions about borrowing money or investing in stocks and bonds.
Exchange rates: Exchange rates are used when converting one currency into another. They affect international trade, travel, and investment. Understanding exchange rates is important for businesses and individuals who deal with international transactions.
Two ways we use percentages outside of class are:Discounts and sales: Percentages are commonly used in advertising to promote discounts and sales. Understanding percentages is important to evaluate whether a discount or sale is a good deal or not.
Tax rates: Tax rates are expressed as a percentage of income or value of goods and services. Understanding tax rates is important for individuals and businesses to calculate their tax obligations and make informed financial decisions.
Understanding rates and percentages is important because they are used in many real-world situations. Knowing how to calculate and interpret rates and percentages can help individuals make informed decisions related to personal finance, investments, and business transactions. It also helps individuals understand and evaluate advertisements and government policies that involve rates and percentages.
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Some please help me with this ASAP thank youu
Which of the following demonstrates how the 70 is calculated using the
combination pattern?
The correct answer is A.
i need help with this
Answer:
18084, 180968Step-by-step explanation:
You want to find the value of x, given that supplementary angles are 83° and (12x+1)°.
Step 1The two angles shown are supplementary, so their sum is 180°:
\(83^\circ+(12x+1)^\circ=\boxed{180}^\circ\)
Step 2Simplifying the expression by combining like terms and dividing by °, we have ...
\(12x +\boxed{84}=\boxed{180}\)
Step 3Subtracting 84 from both sides gives ...
\(12x=\boxed{96}\)
Step 4Dividing both sides by 12, we get ...
\(x=\boxed{8}\)
What is the product of 5 1/2 and 1/8 (fractions only)
Answer:
\(5\frac{5}{8} \\\)
hope this is what you what.
3.4 liters = ________ ml
In order to find how many milliliters are in 3.4 liters, we can use the following conversion rate:
1 liter = 1000 milliliters.
So we have:
\(3.4\text{ liters }=3.4\cdot1000\text{ milliliters}=3400\text{ ml}\)Therefore 3.4 liters corresponds to 3400 ml.
The country of Freedonia has decided to reduce its carbon dioxide emission by 3 5 %every year. This year the
country issued 40 million tons of carbon dioxide.
Answer:
Brainliest?
Step-by-step explanation:
The amount after t years 40 millions tons
Bit by bit clarification:
Given as :
The pace of abatement of carbon dioxide one another = 35%
The amount of carbon dioxide radiated for this present year = 40 million tons
Let the amount of carbon dioxide discharged after t year = A millions tons
Presently, According to address
The amount of carbon dioxide radiated after t year = The amount of carbon dioxide discharged for this present year ×
Or on the other hand, A millions tons = 40 millions tons ×
Or on the other hand, A millions tons = 40 millions tons ×
Or on the other hand, A millions tons = 40 millions tons ×
Or on the other hand, A millions tons = 40 millions tons ×
So,The amount after t years = A = 40 millions tons
Consequently The amount after t years 40 million
What are the coordinate points of Y
Answer:
(140, 200)
Step-by-step explanation:
The coordinate points are (140, 200), the x axis is over 140 and the y axis is up 200.
Can someone please help me with this? I need it done ASAP! Will mark brainliest. Random answers will be reported.
Answer:
(-5, 8)Step-by-step explanation:
P(4, -3) → P'(-1, 5)Find the difference:
-1 - 4 = -5 for x5 - (-3) = 8 for yThe translation rule is:
(x, y) → (x + (-5)), (y + 8)Answer:
(-5, 8)
Step-by-step explanation:
In a survey of 259 professional athletes, it was found that 110 of them owned a convertible, 91 of
them owned a giant screen TV, and 120 owned a sporting goods store. 15 owned a convertible and a
store, 43 owned a TV and a store, and 44 owned a covertible and a TV. 9 owned all three items.
1. How many athletes did not own any of the three items?
2. How many owned a covertible and a TV, but not a store?
3. How many athletes owned a convertible or a TV?
4. How many athletes owned exactly one type of item in the survey?
5. How many athletes owned at least one type of item in the survey?
6. How many owned a TV or a store, but not a convertible?
1. Number of athletes did not own any of the three items = 259 - 228
= 31.
2. Number of athletes own a convertible and a TV but not a store = 44 - 9
= 35.
3. Number of athletes own a convertible or a TV = 110 + 91 - 44
= 157.
4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
5. Number of athletes owned at least one type of item = 259 - 31
= 228
6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71
= 118.
The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.
Total number of athletes surveyed = 259
Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228
Number of athletes who did not own any of the three items = 259 - 228 = 31.
The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.
Number of athletes who own a convertible and a TV = 44
Number of athletes who own all three items = 9
Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35
The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.
Number of athletes who own a convertible or a TV = 110 + 91 - 44
= 157.
The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.
Number of athletes own a convertible only = 110 - 15 - 9 = 86
Number of athletes own a TV only = 91 - 44 - 9 = 38
Number of athletes own a store only = 120 - 15 - 43 - 9 = 53
Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
The number of athletes who owned at least one type of item can use the result from part (1).
Number of athletes who owned at least one type of item = 259 - 31
= 228
The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.
Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159
Number of athletes own a TV or a store not a convertible = 13 + 34 +71
= 118.
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Suppose a survey indicated that the average American spends the following number of hours per week for each activity: 54 hours for sleep, 28 hours for work, 18 hours for family care, 20 hours for personal care, and 48 hours for leisure. In constructing a circle graph, how many degrees (to the nearest tenth) of the circle should be used for the “work” segment?
Work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.
How to solveTo calculate a pie chart, first, categorize the data and calculate the total.
Each slice of the pie chart represents a numerical value and has a size proportional to the value.
The sum of all the data is equal to 360°, with the total value always being 100%.
To find the percentage for each slice of the pie chart, divide the categories by the total and convert them into percentages.
Finally, calculate the degrees using the formula (Given Data/Total value of Data) × 360°.
For example, let's say we have data on sleep, work, family care, personal care, and leisure, with a total of 168 hours.
To find the percentage for each category, we can use the following calculations:
Sleep: 54/168 x 100 = 32.14%Work: 28/168 x 100 = 15.48%Family care: 18/168 x 100 = 10.71%Personal care: 20/168 x 100 = 11.90%Leisure: 48/168 x 100 = 28.57%Therefore, work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.
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Jess spins a pointer 25 times and finds an experimental probability of the pointer landing on 3 to be or 16%. The theoretical probability of the spinner landing on 3 is or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?
Answer:
The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.
Step-by-step explanation:
The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.
What is the probability?Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times
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a=3i+4j, b=5i+4j. find a+b
Answer:
8i+8j
Step-by-step explanation:
3i+4j+5i+4j
i(3+5) + j(4+4)
Therefore 8i +8j
HAPPY TO HELP YOU
Answer:
Step-by-step explanation:
we have :
a=3i+4j
b=5i+4i
so that : a+b=3i+4j+5i+4j
=(3i+5i)+(4j+4j)
so a+b=8i+8j=8(i+j)
In a study conducted by the US department of Health and Human Services, a sample of 546 boys aged 6-11 was weighed, and it was determined that 87 of them were overweighted. A sample of 508 girls aged 6-11 was also weighed, and 74 of them were overweighted. (a) Find a 90% confidence level for the difference of overweight proportion for aged 6 -11 between boys and girls. (b) Can you conclude that the proportion of overweight boys is higher than the proportion of girls who are overweight? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?
Answer:
a) CI = ( - 0,0087 ; 0,0355)
b) No CI contains 0 meaning that statistically the proportions could be equal
Step-by-step explanation:
Boys Sample
Size sample n₁ = 546
x₁ = 87
proportion p₁ = 87/546 p₁ = 0,159 p₁ = 15,9 %
Girls sample
Size sample n₂ = 508
x₂ = 74
proportion p₂ = 74 / 508 p₂ = 0,1456 p₂ = 14,56 %
Hypothesis test:
Null hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
Confidence Interval CI = 90 % significance level α = 10 %
α = 0,1 and as the alñternative hypothesis indicates is a two-tail test
then α/2 = 0,05
z(score) for 0,05 is from z table z(c) = 1,64
Confidence Interval 90 % is:
CI = [( p₁ - p₂) ± z(c) * √ p*q * ( 1/n₁ + 1 / n₂ )
p = (x₁ + x₂ ) / n₁ + n₂
p = ( 87 + 74 ) / 546 + 508
p = 0,1527 then q = 1 - 0,1527 q = 0,8473
CI = 0,0134 ± √ 0,1527*0,8473 ( 1/546 + 1 / 508 )
CI = 0,0134 ± 0,0221
CI = ( - 0,0087 ; 0,0355)
CI contains 0 meaning that difference between the groups could be 0
Therefore we can conclude that proportion on both groups are different. We can´t reject H₀
We need to calculate z(s)
z(s) = [ p₁ - p₂ ] / √ p*q * ( 1/n₁ + 1 / n₂ )
p = (x₁ + x₂ ) / n₁ + n₂
p = ( 87 + 74 ) / 546 + 508
p = 0,1527 then q = 1 - 0,1527 q = 0,8473
z(s) = [ 0,159 - 0,1456] / √ 0,1527*0,8473 ( 1/546 + 1 / 508 )
z(s) = 0,0134/ √0,1294 ( 0,0018 + 0,00196 )
z(s) = 0,0134/ √0,1294 ( 0,0038)
z(s) = 0,0134/ 0,0221
z(s) = 0,61
p-value for z(s) = 0,61 p-value = 0,7291
p-value > 0,05
As p-value is bigger than 0,05 we have to accept H₀. We don´t have enough evidence to claim any difference between the two groups
Two angles of a triangle have the same measure and the third one is 9 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer: The LARGEST angle has a measure of
degrees.
The largest angle of the triangle is ∠C = 66°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Now , the measure of ∠A = measure of ∠B = x
And , the measure of ∠C = measure of ∠A + 9°
Substituting the values in the equation , we get
x + x + ( x + 9 ) = 180
On simplifying the equation , we get
3x + 9 = 180
Subtracting 9 on both sides of the equation , we get
3x = 171
Divide by 3 on both sides of the equation , we get
x = 57°
So , the measure of ∠A = 57°
Now , the measure of ∠C = 57 + 9 = 66°
Hence , the measure of ∠C of triangle is 66°
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Mario has a rectangular prism completely filled with sand that has a base area of 85 cm² and a height of 15 cm. Mario pours all of its contents into a second rectangular prism that has a height of 25 cm. The sand completely fills the second rectangular prism. What is the base area of this second rectangular prism? Enter your answer in the box.
The base area of the second rectangular prism is 51 cm²
The rectangular prism completely filled with sand has a base area of 85cm² and height of 15cm .
Volume of a rectangular prismvolume = Bhwhere
B = base area
h = height
Since the first rectangular prism was completely filled with sand and it completely filled the second rectangular prism, it means they both have the same volume.
Therefore,
volume of the first rectangular prism = volume of the second rectangular prism.
volume = Bhvolume = 85 × 15volume = 1275 cm³Therefore, the base area of the second rectangular prism can be calculated as follows:
volume = Bh
1275 = 25B
B = 1275 / 25
B = 51 cm²
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The effect of wearing different types of running shoes on the time it takes to complete a race is being studied in experiment. which of these is most likely to be an extraneous factor that could also affect the time it takes to complete the race?
Answer:
A. Weather conditions
Step-by-step explanation:
What is Prince William's full name?
Answer:
Depends on the gravitational force. On Earth, one pound equals 4.41N.
Step-by-step explanation:
The formula for Newton's Second Law of Motion is F=ma, which is Force = mass × acceleration.
The SI unit of mass is the kilogram (kg), so we'll have to convert one pound to kilograms. For practical purposes, one pound equals 0.45kg.
The gravitational force of the Earth is 9.8m/s^2. It is worth noting that each planetary body has its own gravitational force in respect to its mass.
Force = mass × acceleration = 0.45kg × 9.8m/s^2 = 4.41N
This number is only applicable on Earth, and may and will change on a planetary body with a mass different from Earth's.
How can i use multiplication/division to calculate a percent of a number?
Answer:
for example you are given a percentage and numbers you cross multiply
Step-by-step explanation:
hope it helps cause I don't know how to explain the answer
Which relationship represents a function with a greater rate
of change than the function graphed?
The relationship that represents a function with a greater rate of change than the function graphed is given as follows:
A. y = 4x - 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The slope represents the average rate of change of a linear function.
From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:
m = -2.
For function A, the function is defined as follows:
y = 4x + 3.
Hence the rate of change is given as follows:
m = 4, which is greater than -2.
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Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
The step that Inga could use to solve the quadratic equation is;
2(x² + 6x + 9) = 18 + 3.
How to solve quadratic equations?The solution to the quadratic equation is calculated as follows;
2x² + 12x - 3 = 0
Add 3 to both sides to get;
2x² + 12x = 3
Divide through by 2 which is the coefficient of x² to get;
x² + 6x = ³/₂
Square half of the coefficient of x, and then add it both sides of the equation to get;
(x + 3)² = ³/₂ + 3²
x² + 6x + 9 = 9 + ³/₂
2(x² + 6x + 9) = 18 + 3
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