Nic bought 12 pens for 2$ each and 12 pads of paper for 3$ each. Write two expressions for how Nic could calculate his total. Write one expression in expanded form and one in factored form.
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Related Questions
Use multiplication to solve the proportion. Y/9=44/54. What is Y
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9(Y/9)=9(44/54)
Y=7 1/3 or 22/3
To solve the given proportion using multiplication, cross-multiply by multiplying the numerators and denominators, and then divide to find the value of Y, which is approximately 7.33.
Explanation:In mathematics, a proportion is an equation stating that two ratios are equal. It expresses the relationship between quantities. For example, if a/b = c/d, where b and d are not zero, it forms a proportion.
To solve the proportion Y/9 = 44/54 using multiplication, we can cross-multiply.
Multiply 9 by 44 and then divide by 54 to find Y
9 * 44 = 396
396 / 54 = 7.33
So, Y is approximately 7.33
If x-2 is a factor of x^2+3x+k, what is the value of k?
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x=2
put the value of x in the equation
2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10
hope you understand
Tonya packed different boxes with unit cubes. Which box has a volume of 16 cubic units?
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Answer:
the smallest
Step-by-step explanation:
what is the rule for this sequence? 1, 4, 16, 64, 256
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1 * 4 = 4
4 * 4 = 16
16 * 4 = 256
and so on.
Hope this helps!
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).
what is 2a^2-14=-24 factored
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______________________________________
→ {assuming the question meant to be written as:
"What is: 2a² − 14x= -24 ; factored?" } ;
______________________________________
Explanation:
______________________________________
Given: " 2a² − 14x= -24 "; factor this equation ;
______________________________________
Simplify the equation by dividing the entire equation (each side) by "2" ;
______________________________________
{ 2a² − 14x = -24 } / 2 =
a² − 7 = -12
Now, add "12" to each side of the equation:
____________________________________
a² − 7x + 12 = -12 + 12 ;
to get:
a² − 7 + 12 = 0 ;
__________________________________
Now, what factors of "12"; when added together, equal "-7"?
6, 2 = 8
-6 -2 = -2,
12, 1 = 13,
-12 -1 = 12
4, 3 = 7,
-4 -3 = -7 .
________________________________________
So; "a² − 7x + 12 = 0" ; factors to:
________________________________________
"(a − 4)(a − 3) = 0 " .
________________________________________
{The solutions are: a = 4 ; and: a = 3} .
________________________________________
My uncle is 3 years less than twice my age. represent this as an algebraic expression
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i just need to know what the fraction is , i can figure out the decimal part , but does anyone know the answer?
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Answer:
Fraction is 7/26 and decimal is 0.269
The graph of the function f(x) = –(x + 1)2 is shown.
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f(x) = -(x^2 + 2x + 1)
f(x) = -x^2 - 2x - 1
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:
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!
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Absolute value is basically asking how far away something is from 0.
So say you had a number, 7. 7's distance from 0 is 7, so it would still be 7.
However, when absolute value really plays in is negative numbers. If you had -7, the distance from 0 would still be 7. It wouldn't be -7, so the absolute value of -7 would be 7.
And a negative version of a number is always less than the positive number.
Hope this helped!
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 $30 per month from her paycheck, but can earn some extra money by tutoring on the weekend. How much extra per month does Shaniqua need to save in order to meet her goal? Select the equation that best represents this situation and solution.
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dawn raises money for her school in a jog-a-thon. she will get three dollars for every lamp she completes. if it takes 4 laps to job 1 mile, and dawn jogs q total of 11 miles, how much money will dawn raise for her school?
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3$ every lap
4 laps = 1 mile
there are 11 miles
3$ * 4 * 11
and we get 132$
You can multiply 11 miles by 4 laps, and you will get 44 laps in total. Then, you can do 44 x 3, and you will reach the answer of 132 dollars.
Help me with this problem 9x-(2x+8)=. And show your work? I'll be giving BRAINILEST!
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So, to do that, first look at the symbol before the parenthesis.
In this case it's a -.
So when it's a -, reverse the symbol inside the parenthesis. (This is because if you don't you're subtracting 2x and then adding 8, when really you're subtracting both 2x and 8.)
So,
9x - 2x - 8
Or simplified,
7x - 8
7x + 8 is your answer
hope this helps
you finished 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished?
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2/8 + 3/8 =5/8
5/8 of the project is finished
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?
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because 4 sections are there
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.
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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.
Convert the fraction to a decimal. Round to the nearest hundredths. 24/76
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/4
6/19
=0.315789474
Divide the numerator by the denominator.
24/76
I'll approximate the decimal to 0.315 and round it to the nearest hundredths.
= 0.32
Look at the graph of f(x)=x^2+6x+10. What is the average rate of change between {1,3}?
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= 3^2 + 6(3) + 10 - (1^2 + 6(1) + 10) / 2
= (37 - 17) / 2
= 10 Answer
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?
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So x + 5x = 120
6x = 120
x = 120/6 = 20
Allison 5x baseball cards so 20*5 = 100 baseball cards
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.
Find out more at https://brainly.com/question/180078.
the product of 3x and (3x+1) is a t least 35
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So the product of 3x and (3x+1) can be written as:
35 < 3x + 3x + 1
^ Greater than 35 i.e. at least 35
35 < 6x + 1
34 < 6x
34/6 < x
17/3 < x
5.67 (2dp) < x
Estimate the amount of gas left in this cars gas tank with a fraction
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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;
https://brainly.com/question/729654
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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?
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40 POINTER PLZ HELP
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this may not be right but hopefully it is.
Have a Good Evening!
-Nana
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 ?
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August (300)+September (300)= 600 pennies
600+600=1200
1200 pennies
Write a Doubles fact you can use to find the sum. Write the sum 2+3
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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
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Hope this helps:)
Answer:
A reflection across the x-axissssss
Step-by-step explanation:
I hope this helps!
- sincerelynini
Formula for Area of this one. Which one is the base x height. Show your work.
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The height is 6 yards. The height is always perpendicular to the base.
This means
b = 16
h = 6
Using the formula for the area of a triangle, we get
A = (b*h)/2
A = (16*6)/2
A = 96/2
A = 48
The area of the triangle is 48 square yards
What is the value of g? 25(g−7)=3 Enter your answer in the box
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25g-178=0
g= 178:25=
7.12
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 number is 5% of 60?
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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.
Shana uses a probability simulator to pull colored stars from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:
Color of Star
Number of Times Pulled
Pink
17
Yellow
19
Violet
24
Heads 26
Tails 34
Using Shana's simulation, what is the probability of pulling a pink star and the coin landing on tails?
fraction 578 over 3,600
fraction 646 over 3,600
fraction 34 over 60
fraction 51 over 60
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So I think it is A.
Hope I helped you (:
What is the value of the digits 5 in 75