write a expression that represents the height of a tree that begins at 8 feet and increases by 2 feet per year. Let t represent the number of years. How tall will the tree be in 5 years?
Answer:
8 + 2t
In five years, 18 feet
Answer:
8 + 2(t)
Step-by-step explanation:
8 is the initial height of the tree, and 2 represents the growth per year, and each year is calculating by represnting each year as (t), so
ex.
2 years pass
8 + 2(2) = 8 + 4 = 12ft
2ft per year, 2 years = 4
Write the repeating decimal $0.\overline{51}$ as a fully simplified fraction.
Answer:
17/33
Step-by-step explanation:
The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].
What is a fraction?A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.
Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,
[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,
giving:
[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]
x = 51/99
Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].
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solve inequality for x.
Answer:
x < 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-2x > -12
Step 2: Solve for x
Divide -2 on both sides: x < 6Here we see that any value x smaller than 6 would work as a solution to the inequality.
Answer:
x < 6
Step-by-step explanation:
Hello!
We can solve inequalities the same way as we solve equations. The most important rule is that when you divide or multiply both sides by a negative number, flip the sign.
Solve for x-2x > -12-2x / -2 < -12 / -2 (flip the sign!)x < 6The solution set for x is all values less than 6.
What is the average speed of someone who walks 3 kilometers in 1 hour?
A. 3 m/h B. 0.33 km/h C. 3 km/h D. 0.33 km/h2
HELP ASAP EXPLAIN PLEASE
PLEASE HELP ME BRO
The number of cups of flour used in a cookie recipe varies directly with the number of cookies made. If 2 cups of flour are used to make 36 cookies, how many cups of flour will it take to make 54 cookies?
A. 18
B. 3
C. 9
D. 27
Answer:
the answer is b)3
Step-by-step explanation:
2=36
?(x)=54
2×54=36x
108/36=x
x=3
Which expression is equivalent to 3/32x8y10
Answer:
I think #2
Step-by-step explanation:
MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold for a total of $610.00, how many adult tickets and student tickets were sold.
Answer:
A = 80 S =70
Step-by-step explanation:
#Adults tickets = A
#Students tickets = S
A + S = 150
5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether
3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether
5A + 3S = 610 (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)
Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.
A + S = 150
5A + 3S = 610
Substitution:
A = 150 - S (Rearrange the first equation by moving S to the other side)
Substitute into the other equation
5 (150 - S) + 3S = 610
750 - 5S + 3S = 610 Combine like terms : -2S = -140
Solve for S = 70
Substitute into A + S = 150 A + (70) = 150
A = 80
if cube has total surface area 150cm sweet, find the volume of the cube
Answer:
i edgggg g t g h tr fe erfg bh hnhy r hrh r r t hth
Step-by-step explanation:
125 cm ans
may be it is helpful
Marijah wants to start saving money as a
New Year’s resolution. She starts with $125
and decides to save $15 per week from her
part-time job. Write an equation to represent
the total money saved, T after w weeks.
Stan worked 4 years less than Marco. This year Stan has worked 29 years. If b is how long Marco worked, the equation b – 4 = 29 represents this situation. How can you get the variable alone on one side of the equation?
Answer:
Add to Both sides
Step-by-step explanation:
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,260 ft Determine the flag's width and length if the length is 290 ft greater than the width.
Answer:
length= 710 width= 420
Step-by-step explanation:
As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:
2l+2w= 2260
With the length as:
l= w+290
The length, substituted into the perimeter is:
2(w+290)+2w=2260
Distribute:
4w+580=2260
Subtract:
4w=1680
Divide:
w=420
To find the length, take the width and add 290:
420+290=710
l=710
The shed in Stephanie’s back yard has a door that measures 6 feet high and 3 feet wide. Stephanie would like to buy and store a ladder in the shed diagonally. What is the maximum height, in feet, of a ladder she can buy to fit through the door?
Answer:
the answer is 6 ft hope it helps
The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
The shed in Stephanie’s back yard has a door that measures 6 feet high and 3 feet wide.
Now, By using Pythagoras theorem;
The length of a ladder she can buy to fit through the door is, x
⇒ x² = 6² + 3²
⇒ x² = 36 + 9
⇒ x² = 45
⇒ x = √ 45
⇒ x = 6.7 feet
Thus, The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet
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I really need help for this geometry question, I would appreciate any help thank you.
Answer:
x = 30.96
Step-by-step explanation:
tan θ = opposite / adjacent
tan θ = 12/20
tan θ = 0.6
[tex]tan^{-1}[/tex](0.6) = 30.96
What is the mean of the data set?
82, 105, 247, 119, 94, 202
i got the totally of 141.5
just add them all up to get 849
and divide them by how many numbers there are
which is 6
DESPRATE WILL GIVE BRAINLIST AND THANKS
To which set of numbers does −1.2 belong?
integers
whole numbers
natural numbers
rational numbers
The ratio of athletes to non-athletes
at Browns Primary School is 3:4. If
there are 225 athletes in the school,
how many non-athletes are there?
Answer:
3:5
225 overhere is 3
225/3=75
4 x 75=300
300 non-athletes
Step-by-step explanation:
14 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 5 feet deep on both sides of the street along a 2-mile section of a parade route.
Answer:
29568
Step-by-step explanation:
Given that:
Length of road = 2 miles
Number of people who can fit in a area of 5 feet by 5 feet = 14
To find:
Number of people that can fit in the road of the given dimensions.
Solution:
Given that one side 2 miles wide and 5 feet deep.
First of all, we need to find number of 5 feet by 5 feet block that can be made in the given dimensions.
2 miles = 10560 feet
Number of blocks = [tex]\frac{10560}{5}[/tex] = 2112
Number of persons that can fit in one block = 14
Number of persons that can fit in 2112 blocks = 14 [tex]\times[/tex] 2112 = 29568
Therefore, the answer is: 29568
......................................
Answer:
C
Step-by-step explanation:
Yeyeyeeyeyeyeeyeeypok2kd
Multiply. Write your answer in simplest form 1/3 x 1/6
Answer:
1/18
Step-by-step explanation:
1 x 1 = 1
3 x 6 = 18
1/18
Colin buys a car for £6000.
It depreciates at a rate of 6% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
4684.5
Step-by-step explanation:
6000 * (1 - 6%)4 = 4684.5 (1.d.p)
help me plz its about algebra 1
I used half the sugar to make cookies then I used another 2 cups for a really big cake I had 4 cups of sugar left how many cups of sugar did I start with
Answer:
12 cups of sugar
Step-by-step explanation:
Total cups of sugar = x
Cookies = 1/2x
Big cake = 2 cups
Sugar left = 4 cups
x = 1/2x + 2 + 4
Collect like terms
x - 1/2x = 6
1/2x = 6
Divide both sides by 1/2
x = 6 ÷ 1/2
= 6 × 2/1
= 12/1
x = 12 cups of sugar
find the value of x pls and thank you
Answer:
16
Step-by-step explanation:
according to the question
5x-7=8x-55
8x-5x=-7+55
3x=48
x=48/3
x=16
Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.
11) 6x2+ 6x3
12) -6x 2 + (-6) x3
13) 5x - 8x
Answer:
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
Step-by-step explanation:
Let us solve the question one by one.
11) 6x^2+ 6x^3
In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.
[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]
The factored form is:
[tex]= 6.x.x+6.x.x.x[/tex]
12) -6x^2 + (-6) x^3
Similarly, as 11
[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]
The factored form is:
[tex]=-6.x.x+ (-6).x.x.x[/tex]
13) 5x - 8x
We can clearly see that there is only one common factor in both terms which is x
[tex]5x = 5.x\\8x = 8.x[/tex]
The factored form is:
[tex]=5.x-8.x[/tex]
Hence,
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
Brisbane is 10 hours ahead of London and New York is 5 hours behind London. Arsh lives in Brisbane. At 12 noon on 5 November, Arsh calls Lily who lives in New York, what time and date is it in New York?
Answer:
9:00 pm, 4th November
Step-by-step explanation:
Since ;
Brisbane is 10 hours ahead of London
New York is 5 hours behind London
Then, Brisbane is (10 + 5)hours ahead of New York.
Then Brisbane is 15 hours ahead of New York
Time and Date Brisbane resident called New York = 12 Noon, 5th November
Time and Date in New York will be :
(12 Noon - 15 hours) = 9:00 pm, 4th November
This year, you got 65% fewer pieces of Halloween candy than you got last year. You got 200 pieces last year. How much did you get this year?
a) In the sketchbox, draw a diagram to represent this situation
b) In the answer box, write a simplified equation to represent this situation. Use "y" to represent the amount of Halloween candy you got this year. Your equation should use decimals.
Answer:
Step-by-step explanation:
100-65=35
y=35 % of 200=0.35×200=70
8n+ 103=15n+75 answer
[tex] = > 8n+ 103 = 15n + 75 \\ [/tex]
[tex] = > 103 - 75 = 15n - 8n \\ [/tex]
[tex] = > 28 = 7n\\ [/tex]
[tex] = > n = \frac{28}{7} = 4 \\[/tex]
So the value of n is 45
Select the correct answer
Which system of equations is represented by this graph?
Please I need help
What is the perimeter of the parallelogram