Answer: Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.
Step-by-step explanation:
Let the number of hours Mr. Itol takes be 'x'.
Let the number of hours Mr. Itol's assistant takes be '2x'.
Total number of hours both experts take = 6 hours
According to question, we get that
[tex]\dfrac{1}{x}+\dfrac{1}{2x}=\dfrac{1}{6}\\\\\dfrac{2+1}{2x}=\dfrac{1}{6}\\\\\dfrac{3}{2x}=\dfrac{1}{6}\\\\18=2x\\\\x=\dfrac{18}{2}\\\\x=9[/tex]
Number of hours taken by him = x = 9 hours
Number of hours taken by his assistant = 2x = [tex]2\times 9=18\ hours[/tex]
Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.
Help me with this problem 9x-(2x+8)=. And show your work? I'll be giving BRAINILEST!
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 items. Let c represent the number of additional customers Joshua must have to meet his goal. Drag and drop the answer into the box to correctly complete the statement.
Joshua needs 17 additional customers to meet his goal of selling more than 20 items at the farmers' market.
Explanation:To find the number of additional customers Joshua must have to meet his goal, we first need to calculate the number of items he has already sold. Joshua has sold 6 items, and each customer buys 2 items. So, the number of customers Joshua has served is 6 / 2 = 3 customers.
To meet his goal of selling more than 20 items, Joshua would need to have c additional customers. Therefore, the number of additional customers is 20 - 3 = 17 customers.
Final answer:
Joshua has sold 6 items and each customer buys 2. To meet his goal of selling more than 20 items, he must solve the inequality 6 + (2 × c) > 20 to find the number of additional customers needed. After solving, he needs more than 7 additional customers.
Explanation:
The subject question involves creating an algebraic expression to help Joshua determine the number of additional customers he must have to meet his goal of selling more than 20 items at a farmers' market. Joshua has already sold 6 items, and each customer buys 2 items. We let c represent the number of additional customers Joshua needs. To solve this problem, we need to create an algebraic equation and solve it for c.
Joshua's goal: sell > 20 items
Joshua's current sales: 6 items
Items per customer: 2 items
Additional customers needed: c
The equation will be:
6 + (2 × c) > 20
To find c, we subtract 6 from both sides of the inequality:
(2 × c) > 14
Then we divide both sides by 2:
c > 7
Therefore, Joshua needs more than 7 additional customers to meet his goal of selling more than 20 items.
Shaniqua starts a bank account with a $120 deposit. By the end of 12 months, she hopes to have saved $900. She knows that she can save $30 per month from her paycheck, but can earn some extra money by tutoring on the weekend. How much extra per month does Shaniqua need to save in order to meet her goal? Select the equation that best represents this situation and solution.
you finished 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished?
40 POINTER PLZ HELP
What is the value of g? 25(g−7)=3 Enter your answer in the box
Answer: The value of g is 7.12.
Explanation:
The given equation is,
[tex]25(g-7)=3[/tex]
Use distributive property to solve the equation.
[tex]25g-175=3[/tex]
Using addition property of equality add 175 both sides.
[tex]25g-175+175=3+175[/tex]
[tex]25g=178[/tex]
Using division property of equality, divide both sides by 25.
[tex]\frac{25g}{25} =\frac{178}{25}[/tex]
[tex]g=\frac{178}{25}[/tex]
[tex]g=7.12[/tex]
Therefore the value of g is 7.12.
To check the answer put the value of g in given equation.
[tex]25(7.12-7)=3[/tex]
[tex]25(0.12)=3[/tex]
[tex]3=3[/tex]
LHS is equal to RHS, therefore the value g=7.12 is correct.
What transformation takes f(x)= 4x−7 to g(x)= −4x−7 Question 1 options:
a reflection across the x-axis
a vertical shift 8 units down
a horizontal shift 8 units right
a reflection across the y-axis
Answer:
A reflection across the x-axissssss
Step-by-step explanation:
I hope this helps!
- sincerelynini
what number is 5% of 60?
Answer: 3
Step-by-step explanation: To find 5% of 60, first rewrite 5% as a decimal by moving the decimal point two places to the left to get .05.
Next the word "of" tells us we need to multiply so we multiply .05 by 60.
(.05) (60) = 3.00
Therefore, 5% of 60 is 3.
Image provided.
If a number is ____, then the number is less than its absolute value. (Can you help me fill in the blank?in class we were learning about positive and negative numbers such as -5 and 5 and/or +5)
Thank you!
Hideki is collecting pennies . Each month in may, june, and july he put 200 pennies in a jug . He put 300 pennies in th jug in August and 300 in September. How many pennies did Hideki put in the jug between May and September ?
allison has 5 times as many baseball cards as football cards.in all,she has 120 baseball and football cards.how many baseball cards does she have?
Out of the total of 120 cards, Allison has 100 baseball cards.
Allison has a total of 120 baseball and football cards.
The baseball cards are 5 times the football cards so assuming the football cards were denoted as x, the baseball cards would be denoted as:
= 5 × x
= 5x
The cards in her possession can be found by solving for x:
Baseball cards + Football cards = 120
5x + x = 120
6x = 120
x = 120 / 6
x = 20 football cards
Baseball cards:
= 5x
= 5 x 20
= 100 baseball cards
In conclusion, she has 100 baseball cards.
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Tyler has 3/4 of a month to write a book report. He finished the book in 2/3 that time. How much time did it take Tyler to write the report?
Formula for Area of this one. Which one is the base x height. Show your work.
Write a Doubles fact you can use to find the sum. Write the sum 2+3
Convert the fraction to a decimal. Round to the nearest hundredths. 24/76
Look at the graph of f(x)=x^2+6x+10. What is the average rate of change between {1,3}?
Select all that apply.
Which of the following statements are true of the greatest common factor of two numbers?
A. Each number must share the factor.
B. The number must be large.
C. The greatest common factor could be 1.
D. The number must be the largest factor both numbers share.
and why cant it be the others
PLEASE HELP!!
Answer:
A,C,D is the answer
Step-by-step explanation:
What is the value of the digits 5 in 75
The graph of the function f(x) = –(x + 1)2 is shown.
Answer:
Use the drop-down menus to complete the statements.
In order for f–1(x) to be a function, the domain of f(x) can be restricted to
✔ x ≥ 1
.
Under this restriction, the domain of f–1(x) would be
✔ x ≥ 2
, having the same minimum value as the
✔ range of f
.
Step-by-step explanation:
You are painting the outside of a 28 -foot fence that goes around a square garden. There are 4 equal sections. You have painted 12 of one section. What fraction of the job have you completed?
the product of 3x and (3x+1) is a t least 35
Tonya packed different boxes with unit cubes. Which box has a volume of 16 cubic units?
Answer:
the smallest
Step-by-step explanation:
If x-2 is a factor of x^2+3x+k, what is the value of k?
What is the LCM of two numbers that have no common factors greater than 1?
dawn raises money for her school in a jog-a-thon. she will get three dollars for every lamp she completes. if it takes 4 laps to job 1 mile, and dawn jogs q total of 11 miles, how much money will dawn raise for her school?
i just need to know what the fraction is , i can figure out the decimal part , but does anyone know the answer?
Answer:
Fraction is 7/26 and decimal is 0.269
Estimate the amount of gas left in this cars gas tank with a fraction
The amount of gas left in this car's gas tank with a fraction of probably 3/8.
What are proper and improper fractions and how to convert mixed fractions to simple fractions?There is a fraction, containing a numerator(upper value) and denominator(lower value). When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction. A proper fraction is also called a fraction that is less than 1.
We need to find the approx amount of gas left in this car's gas tank with a fraction.
So, the diagram shows the three levels as empty, half, and then full
We can see that the mark is a little less than half and greater than empty.
So it should be lies between 0 to 1/2.
Therefore, the amount of gas left in this car's gas tank with a fraction of probably 3/8.
Learn more about fractions;
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My uncle is 3 years less than twice my age. represent this as an algebraic expression
what is 2a^2-14=-24 factored
what is the rule for this sequence? 1, 4, 16, 64, 256
Final answer:
The rule for the given sequence is to multiply the previous term by 4. The sequence follows a pattern of 4 raised to the power of increasing integers starting from 0.
Explanation:
The sequence given is 1, 4, 16, 64, 256. To find the rule for this sequence, let’s examine the relationship between the consecutive numbers.
1 multiplied by 4 is 4
4 multiplied by 4 is 16
16 multiplied by 4 is 64
64 multiplied by 4 is 256
So, the rule for this sequence is to multiply the previous term by 4 to get the next term. Another way to express this is that each term is 4 to the power of n, where n is an increasing integer starting from 0 (4^0 = 1, 4^1 = 4, 4^2 = 16, and so on).