There are 61 people to begin with.
hope it helps.
Study the following sequence of numbers. Then see if you can determine what the next number in the sequence should be.
100 99.5 98.5 97 95 92.5 89.5
Answer:
86
Step-by-step explanation:
The pattern follows this rule:
Every time, the difference between current term and the succeeding term is 0.5 more than that of the current term and preceding term.
The difference between the current term and the preceding term is:
89.5 - 92.5 = 3
Hence, the next term of the sequence should be 3.5 less than the current term.
Hence, the next term is 89.5 - 3.5 = 86.
Help. I don't understand what I'm supposed to do.
Just order the people from least to greatest time. So it would be Cindy, Beth, Ari.
Cindy, Beth, then Ari
Donte and Trista both bought the same three-ring binder for $5. Donte lives in Arizona and pays 5.6% in sales tax, while Trista lives in New Jersey and pays 7% in sales tax. How much more did Trista pay in sales tax than Donte?
Sales tax paid by Donte = [tex]\frac{5.6}{100} (5)[/tex]
= 0.28
Sales tax paid by Trista = [tex]\frac{7}{100} (5)[/tex]
= 0.35
The extra tax paid by Trista = 0.35 - 0.28 = 0.07.
Hence, Trista paid $0.07 more than Donte.
Please help...
If g(x) = x2 + 2, find g(3).
A: 9
B: 8
C: 11
D: 6
As the [tex] g(x)=x^{2}+2[/tex]
To find the value of g(3) we have to put the value of [tex]x[/tex] equal to 3 everywhere in g([tex]x[/tex])
Therefore [tex] g(3)=(3)^2+2[/tex]
on solving the equation
[tex]g(3) = 9+2 [/tex]
[tex] g(3) = 11 [/tex]
Hence g(3) =11 is the answer
Hope this will help
Which expression is equivalent to ^3 square root 343 x^9 v^12 z^6?
[tex]\sqrt[3]{343x^9v^{12}z^6}=\sqrt[3]{343}\cdot\sqrt[3]{x^{3\cdot3}}\cdot\sqrt[3]{v^{4\cdot3}}\cdot\sqrt[3]{z^{2\cdot3}}\\\\=\sqrt[3]{7^3}\cdot\sqrt[3]{(x^3)^3}\cdot\sqrt[3]{(v^4)^3}\cdot\sqrt[3]{(z^2)^3}=7x^3v^4z^2\\\\Used:\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\(a^n)^m=a^{nm}\\\\\sqrt[n]{a^n}=a[/tex]
The cube root of 343 is 7, x^9 is x^3, v^12 is v^4, and z^6 is z^2. So the equivalent expression to the cube root of [tex]343x^9v^12z^6[/tex] is 7x^3v^4z^2.
Explanation:The expression is asking for the cube root of each term. The cube root of 343 is 7 because [tex]7*7*7[/tex]equals to 343. The cube root of x^9 is x^3 because 3*3 equals to 9. Similarly, cube root of v^12 is v^4 because 4*3 equals 12, and cube root of z^6 is z^2 because 2*3 equals 6.
So the equivalent expression is [tex]7x^3v^4z^2.[/tex]
Remember, when dealing with cubic roots and exponential terms, we divide the exponent by 3.
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Write an equation to solve:
1. A scuba diver dives down 20 feet in the ocean. He then swims 11 feet back up towards the surface. What is the position of the scuba diver relative to the surface?
2. You and your friend play a video game. You have a final score of 40 points, and your friend has a final score of -21 points. By how many points did you win?
Answer: 1. 9 feet revelent to the surface2. 19 points
Step-by-step explanation:
The quotient of five Times a number and seven is no more than 10
5 . x ÷ 7 = 10 or less
5 . 14 = 70 ÷ 7 = 10
The unknown number, when multiplied by five and divided by seven, has to result in a value of 10 or less. To find this number, we solve the inequality 5x / 7 <= 10 and find that x must be less than or equal to 14.
Explanation:The question is asking for a number that, when multiplied by five and then divided by seven, yields a result of 10 or less. Let's denote the unknown number as x. We can put this into a mathematical inequality:
5x / 7 <= 10
To solve for x, we first multiply both sides by 7 to cancel the denominator on the left side:
5x <= 70
Then, we divide both sides by 5 to isolate x:
x <= 14
Therefore, the number must be less than or equal to 14.
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Can a pair of numbers have more than one common factor?
Explain Why
here are the first four terms of an arithmetic sequence: 6,13,20,27 write down, in terms of n, an expression for the nth term of this sequence
common differences d = 7
A1 = 6
arithmetic sequence:
A(n) = A1 + d(n - 1)
A(n) = 6 + d(n - 1)
Hope it helps
How to solve this for x ?
[tex]4+\dfrac{3}{5}\left(15+2x\right)=25\\\\\dfrac{3}{5}\left(15+2x\right)=21\\\\15+2x=35\\\\2x=20\\\\x=10[/tex]
I can't figure out the answer. J need help!
41.8 is 67% of what number
Hi!
Equation: Y = P% * X
X = Y/P%
X = 41.8/67%
p = 67/100 = 0.67
X = 41.8/0.67
Answer:
X = 62.3881
The hard drive on your computer has a capacity of 160 gigabytes (GB). You have used 122 GB. You want to save some home videos to your hard drive. What are the possible sizes of the home video collection you can save? If u represents the amount of space used, write an inequality that determines a, the amount of space available.
To determine the size of the home video collection one can save, subtract the used space (122 GB) from the total hard drive capacity (160 GB). The remaining space is 38 GB, which is the maximum size for the home videos that can be saved. The inequality representing the available space in terms of 'a' is: a ≤ 38 GB.
Explanation:The subject of this question is a practical application of mathematics related to computer storage space.
If the computer's hard drive has a total capacity of 160 GB and you have already used 122 GB, we can determine the remaining available space with a simple subtraction: 160 GB - 122 GB = 38 GB.
So, the size of the home video collection that you can save cannot exceed 38 GB.
To represent this as an inequality where u is the amount used, and a is the amount available, we can write:
u + a ≤ 160 GB
Since you've used 122 GB already, the inequality in terms of a alone is:
a ≤ 160 GB - 122 GB
a ≤ 38 GB
This inequality states that the amount of additional data (home videos) you can save, denoted as a, should be less than or equal to 38 GB, which is the available space remaining on your hard drive.
Final answer:
To determine the available space on your hard drive, subtract the amount used from the total capacity. The possible sizes of the home video collection you can save range from 0GB to a maximum of 38GB. The inequality a ≤ 38GB represents the amount of space available.
Explanation:
To determine the amount of space available, you subtract the amount of space used from the total capacity. In this case, the total capacity is 160GB and the amount used is 122GB, so the amount of space available is 160GB - 122GB = 38GB.
Therefore, the possible sizes of the home video collection you can save range from 0GB (if you don't save any videos) up to a maximum of 38GB (if you save videos that take up the entire available space).
The inequality that represents this is: a ≤ 38GB, where 'a' represents the amount of space available.
a rectangular rug has a perimeter of 470 yards. the width of the rug is 5 yards more than four times the length. find the length and the width
Answer: The required length and breadth of the rug are 46 yards and 189 yards respectively.
Step-by-step explanation: Given that a rectangular rug has a perimeter of 470 yards. The width of the rug is 5 yards more than four times the length.
We are to find the length and width of the rug.
Let l represents the length of the rug. Then, the width of the rug will be
[tex]w=4l+5.[/tex]
According to the given information, we have
[tex]470=2l+2w\\\\\Rightarrow 470=2l+2(4l+5)\\\\\Rightarrow 470=2l+8l+10\\\\\Rightarrow 10l=460\\\\\Rightarrow l=\dfrac{460}{10}\\\\\Rightarrow l=46.[/tex]
So, the width is given by
[tex]w=4\times46+5=184+5=189.[/tex]
Thus, the required length and breadth of the rug are 46 yards and 189 yards respectively.
Determine wether each ordered pair is a solution of the given equation.
17. y=3x-5; (0,5), (-1,-8)
18. y=-2x+7; (1,5),(-2,3)
19. -6x+5y=-6; (1,0), (2,6/5)
20. 5x-3y=9; (0,3), (12/5,-1)
21. y=2x^2; (1,2), (3,18)
22. y=2|x|; (-1,2), (0,2)
23. y=^3; (2,8), (3,9)
24. y=x^4; (-1,1), (2,16)
25. y=√x+2; (1,3), (4,4)
26. y=3√x-4; (1,-3), (8,6)
10 times as much as 2000 is 1/10 of
Make t the subject of the formula
v = u + 5t
[tex]v = u + 5t\\\\5t=v-u\\\\t=\dfrac{v-u}{5}[/tex]
To make t the subject of the formula v = u + 5t, subtract u from both sides and divide by 5.
Explanation:To make t the subject of the formula v = u + 5t, we need to isolate t on one side of the equation.
First, subtract u from both sides of the equation: v - u = 5t.
Then, divide both sides of the equation by 5: (v - u)/5 = t.
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The sum (c−4)+(3c+9) is
4c+5
hope that helps you out
The sum (c−4)+(3c+9) is 4C+5
How to find the sum of variables?same variables are added or subtractedvariables with same powers are added or subtracted.
Addition
(c−4)+(3c+9)
⇒C-4+3C+9
⇒(C+3C)+(-4+9)
⇒4C+5
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Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?
4x + 5y = –100
5x + 4y = 80
4x + 5y = 16
5x + 4y = 20
Answer:
5x + 4y = 80
Step-by-step explanation:
Bruce has a 16 ounces bottle of water that is 1/2 full. He drinks 1/5 of the water left in the bottle. How many ounces of water are left in the bottle
Answer:
6.4 oz are left.
Step-by-step explanation:
Start with the bottle being half full.
A bottle that is half full when it started with 16 oz is 1/2 16 oz = 8 oz
If he drinks 1/5 of the remaining amount, it means that he has 4/5 left.
4/5 * 8 = 32/5 = 6.4 oz or 6 oz and 2/5 of an ounce.
Answer:
6.4 oz are left
Step-by-step explanation:
Given the perimeter of a square, find the length of one side using the appropriate formula.
A square closet with a perimeter of 16 ft.
Answer:
f
Step-by-step explanation:7574
Use properties of addition and subtraction to evaluate the expression.
−38−11−22
Enter your answer in the box.
Answer:
-71
Step-by-step explanation:
Which is both a real number and integer?
A.23
B. 1/4
C. ✓27
D.3.402538
Which of these numbers is classified as both real and ratinal?
A. ✓17
B.✓23
C.✓9
D.✓2
(1)
answer A: 23 is an integer and, as such, belongs to the set of Reals
(2)
answer C: sqrt(9)=3 is rational (can be written as 9/1, or 18/2, etc.) and, as such, is a Real number as well. The others are irrational numbers, so they do not qualify.
1. The number which is both real and integer number is 23.
2. The number which is both real and integer number is √9.
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
There are some numbers.
We have to choose the real and integers number.
Now,
Since, The integers are the number that is positive, negative and zero.
Hence,
1. The number 23 is a real number and it is also a integer.
And,
2. √9 = √3 x 3
= 3
Thus, The number √9 = 3 is a real number and it is also a integer.
Therefore,
1. The number which is both real and integer number is 23.
2. The number which is both real and integer number is √9.
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Brandon has won 4 out of the last 12 times he has played his older brother favorite video game he wants to prove that he’s good as his brother by having a winning record of 50% which equation could he use to determine how many games he could have one in the world to achieve his goal
Answer:
A
Step-by-step explanation:
Answer:
4 + x/12 + x = 0.50
Step-by-step explanation:
Aleta went to dinner. the bill was 36. she gave the waiter a 15% tip. what was the total ammount Aleta spend on the food and the tip
To calculate the total amount Aleta spent, including the tip, multiply the bill ($36) by the tip percentage (15%) to get the tip amount ($5.40) and add it to the bill to get the total cost ($41.40).
The question asks us to calculate the total amount Aleta spent on dinner including a 15% tip. To find the tip amount, we multiply the bill by the tip percentage in decimal form. The bill is $36, so we calculate 15% of $36 as follows:
0.15 × $36 = $5.40
The total cost of the meal including the tip is $36 (the original bill) + $5.40 (the tip) = $41.40.
Why is a lame elephant like adding 19 and 4 ?
The riddle compares a lame elephant to the act of adding 19 and 4, where the answer lies in the wordplay of 'one-legged' (1+9+4) and 'too-free' (sounding like 23).
Explanation:The question "Why is a lame elephant like adding 19 and 4?" appears to be a playful riddle rather than a straightforward math problem.
The answer to this riddle plays on the similarity in sound between the words 'lame' and the number '1' when saying 'one-legged' or '1-legged', as well as the sum of the numbers 19 and 4 being 23, which can sound like 'two' and 'three' or 'too-free' when spoken quickly.
To conclude, a lame elephant is like adding 19 and 4 because it is 'one legged' or could be jokingly considered 'too-free' to walk as it would if it weren't lame.
what is the answer too 2 plus 2
A.4
B.8
C.6
The answer will be A.4
the answer is a) 4
yay
EL PERIMETRO DELCUADRADO X ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO Y. EL UCADRADO Y ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO Z. EL AREA DEL CUADRADO X ES DE 16 CM2 ¿CUAL ES AREA DEL CUADRADO Z?
the question in English is
THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?
Let
Px--------> the perimeter of square x
Py--------> the perimeter of square y
Pz--------> the perimeter of square z
Ax--------> the area of square x
Az--------> the area of square z
Step 1
Find the length side of the square x
we know that
[tex]Px=\frac{2}{3} Py[/tex] -------> equation A
[tex]Py=\frac{2}{3} Pz[/tex] -------> equation B
[tex]Ax=16\ cm^{2}[/tex]
[tex]Ax=x^{2}[/tex]
so
[tex]x^{2}=16[/tex]
[tex]x=4\ cm[/tex]
Step 2
Find the perimeter of square x
[tex]Px=4x[/tex]
substitute the value of x in the formula
[tex]Px=4*4=16\ cm[/tex]
Step 3
Find the perimeter of square y
use the equation A
[tex]Px=\frac{2}{3} Py[/tex]
solve for Py
[tex]Py=\frac{3}{2} Px[/tex]
substitute the value of Px
[tex]Py=\frac{3}{2}16=24\ cm[/tex]
Step 4
Find the perimeter of square z
use the equation B
[tex]Py=\frac{2}{3} Pz[/tex]
solve for Pz
[tex]Pz=\frac{3}{2} Py[/tex]
substitute the value of Py
[tex]Pz=\frac{3}{2} 24=36\ cm[/tex]
Step 5
Find the area of square z
we know that
the area of the square z is equal to
[tex]Az=z^{2}[/tex]
Find the length side of square z
[tex]Pz=4z[/tex]
[tex]Pz=36\ cm[/tex]
so
[tex]4z=36[/tex]
[tex]z=9\ cm[/tex]
substitute the value of z in the area's formula
[tex]Az=9^{2}=81\ cm^{2}[/tex]
therefore
the answer is
the area of the square z is [tex]81\ cm^{2}[/tex]
SOLVE ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Solve for s. 4 + ((-8) + s) = 20
vanessa spends 273. she donate 119. vanessa had 685. how much money does she have left
Vanessa originally had $685. After spending $273 and donating $119, she now has $293 remaining.
Explanation:To find out how much money Vanessa has left after spending and donating some of her money, we need to perform two subtraction operations. First, subtract the amount she spent from her original amount, then subtract what she donated.
Vanessa had $685 originally. She spent $273 on purchases, so let's subtract this amount:
$685 - $273 = $412After spending, Vanessa has $412 left. Now, let's subtract the amount she donated:
$412 - $119 = $293So, after donating, Vanessa has $293 left.
Final answer:
Vanessa initially has $685. After spending $273 and donating $119, she has $293 left.
Explanation:
The question involves solving a basic arithmetic problem. Vanessa initially has $685. She spends $273 and then donates $119. To find out how much money Vanessa has left, we need to subtract the total amount spent and donated from her initial amount.
Step-by-Step Calculation:
Subtract the amount spent from the initial amount:Therefore, after spending and donating the specified amounts, Vanessa has $293 left.
HELP ME JDJDJDJDJDJDJDJDJD
Answer:
15/100
0.15 is 15 hundredths, which can also be written as 15/100. If you say the decimal out loud, and then the fraction out loud, you say them the same.