Answer:
8.6
Step-by-step explanation:
15. Which statement explains why 30 is considered an irrational number?
A.
When evaluated, 730 results in a repeating decimal, which is considered an
irrational number.
When evaluated, 30 results in a terminating decimal, which is considered an
irrational number.
B.
C.
When evaluated, V30 results in a nonterminating and nonrepeating decimal, which
is considered an irrational number.
D.
When evaluated, 30 results in a whole number, which is considered an irrational
number.
Consider the given number is [tex]\sqrt{30}[/tex] in question as well as in options.
Given:
[tex]\sqrt{30}[/tex] is considered as an irrational number.
To find:
The reason for given statement.
Solution:
We have,
[tex]\sqrt{30}=5.47722557505...[/tex]
When evaluated, [tex]\sqrt{30}[/tex] results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.
Therefore, the correct option is C.
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
S + n < 100
5s + 10n > 800
Answer:40
Step-by-step explanation:
answer is 40
A
The number of tickets sold to the student is s = 40 (maximum) and to the nonstudent is n = 60(minimum) in order to collect at least $800 in total ticket sales.
The members of the drama club have 100 tickets to sell Students pay $5 per ticket, and nonstudents pay $10 per ticket. Inequalities given S + n < 100, 5s + 10n > 800. Maximum tickets for students and minimum tickets for nonstudents are to be determined.
Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let S + n = 100 -----(1)
5s + 10n = 800 ----(2)
Solving equations 1 and 2
S = 40 and n = 60
in order to hold the inequality s should be a maximum of 40 or n should be a minimum of 60.
Thus, the number of tickets sold to the student is s = 40 (maximum) and to the nonstudent is n = 60(minimum) in order to collect at least $800 in total ticket sales.
Learn more about inequality here:
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Lisa descended 120 feet into a cave. She then climbed up 56 feet. If her starting point was 38 feet below sea level at the mouth of the cave, what is lisa elevation to sea level now?
Answer:
-102
Step-by-step explanation:
-38
-120
-158
+56
-102
HELP ME PLZZ I NEED HELP WITH THIS !!
Use a proportion to determine how many assistants are employed in an office if there are 32 executive and each executive has an average of 1.5 assistants.
Answer:
48
Step-by-step explanation:
I got it right
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 12 fl oz per minute. How fast was the pipe leaking in gallons per hour?
Answer:
720 oz per hour
Step-by-step explanation:
A farmer needs to enclose three sides of a meadow with a fence (the fourth side is a river). The farmer has 30 feet of fence and wants the meadow to have an area of 112 sq-feet. What should the dimensions of the meadow be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)
Answer:
Width = 7 feets ; length = 16 feets
Step-by-step explanation:
Given the following :
Area of meadow = 112 sq feet
Width = W (smaller dimension and 2 sides)
Length = L (longer dimension and 1 side)
Yards of fence = 30 feets ;
Hence,
L + W = 30
L + 2W = 30
L = 30 - 2W - - - (1)
Recall:
Area = L * W = 112
Substitute value of L
112 = (30 - 2W) * W
112 = 30W - 2W²
2W² - 30W + 112 = 0
W² - 15W + 56 = 0
W² - 8W - 7W + 56 = 0
W(W - 8) - 7(W - 8) = 0
(W - 8) = 0 or (W - 7) =0
W = 8 or W = 7
Since length should be as long as possible, we take the shorter width :
W = 7
L + 2W = 30
L = 30 - 14
L = 16 feets
Variables on both sides
4x + 9 = 2x + 13
Answer:
x = 2
Step-by-step explanation:
i guess
How many trees are 3 years old?
A. 1
B. 3
C. 0
D. 2
Answer:
D. 2
Step-by-step explanation:
Answer:
2 trees are 3 years old!
Explain how to find the 52nd term using the explicit rule f(n)= 15n+10, then solve.
Answer:
790Step-by-step explanation:
Given the explicit rule function F(n) = 15n +10, in order to get the 52nd term of the sequence, we will have to substitute n = 52 into the rule given as shown;
f(52) = 15(52) + 10
f(52) = 780+10
f(52) = 790
Hence the 52nd term of the explicit rule is 790
please don’t skip over me
show all work
Answer:
1 + i[tex]\sqrt{5}[/tex], 1 - i[tex]\sqrt{5}[/tex]
Step-by-step explanation:
A quadratic function is f(x) = a[tex]x^{2}[/tex] + bx + c
Your function with the given values is f(x) = 2[tex]x^{2}[/tex] - 4x + 12
To solve a quadratic function, you can use the quadratic formula
(-b +/- [tex]\sqrt{b^{2} - 4ac}[/tex]) / 2a
Fill in with your given values.
(4 +/- [tex]\sqrt{(-4^{2} - 4 (2) (12)}[/tex] ) / 2(2)
Simplify
(4 +/- [tex]\sqrt{16 - 96}[/tex]) / 4
(4 +/- [tex]\sqrt{-80}[/tex] ) / 4
Because there is a negative number under the square root making it an imaginary number put an i by it.
(4 +/- i[tex]\sqrt{80}[/tex]) / 4
80 is divisible by 16, a perfect square. 80 / 16 = 5
(4 +/- 4i[tex]\sqrt{5}[/tex]) / 4
Divide by 4
1 +/- i[tex]\sqrt{5}[/tex]
Your teacher may want you to list your radical without the i and just as [tex]\sqrt{-5}[/tex], so keep that in mind.
Don't forget to list it both as addition and subtraction.
hello whats 45(2+2)=55(2x4)
answer please if solution or no solution
if f (x) = 2x2 - 4x, what is the value of f(3)
Answer:
f(3) = 6
Step-by-step explanation:
f(3) = 2(3)^2 - 4(3)
f(3) = 6
Answer:
6
Step-by-step explanation:
2(3)^2-4(3)=6
Multiply: 1/2 x 3/3
Answer: 3/6
Step-by-step explanation:
1/2 x 3/3
= 3 x 1 = 3
= 2 x 3 =6
Angelica is buying 5 tickets to the school musical. Tickets cost $7 each.
If c represents Angelica's total cost for tickets, which equation below is correct?
c = 5
c = 5 + $7
c = (5)($7)
c = $7
Hi!
Your answer should be: 3/c, "c= (5)($7)"
Reason being:
A: it only has the number of tickets, so that wouldn't make sense.
B: It has both numbers, but, were not adding, because the tickets cost $7 EACH, so only adding them wouldn't give you the right answer.
C: They are multiplying 5x$7, which is correct because each ticket is $7, and she is trying to buy 5, so 5x$7=c is correct.
D: like A, they only have one part of the problem, so it wouldn't make sense.
Hope this helps!
Yours truly,
~~~PicklePoppers~~~Answer:
I did this in a test so the answer is the third one. i already knew the answer was the third one.
Step-by-step explanation:
Lets check all of em first.
c = 5
(c) cant equal five because (c) is the total cost for tickets and if she bought 5
and each of them is $7 it cant be 5 thes goes same for the other- c = $7
Now for c = 5 + $7 Clearly you cant find out the total cost for 5 tickets using addition.
therefore, the right answer is c = (5) ($7)
Compare 8 ⋅ 107 to 2 ⋅ 104.
Round 382.993 to the nearest hundredth
Answer:
383.000 is the answer, I think.
Step-by-step explanation:
Henry is cooking a turkey for his family. His recipe says to cook the turkey for 15 minutes per pound. Identify the independent and dependent quantities.
Answer:
the time is the independent quantities and the dependent one is the mass of the turkey
Step-by-step explanation:
the reason is that the mass is the one determining the time but the time per pound is not going to change their for you can say with confidence that this is the answer.
hope you can learn from this response
dedildlICII
10
At Rocking Horse Ranch, admission is $45 and trail rides are $22.50 per hour. At Saddlecreek Ranch, admission is
$30 and trail rides are $35 per hour. Solve your system from the previous question. Interpret the meaning of the solution in
the context of the problem.
U
0 >Source
More
Answer:
Step-by-step explanation:
R.H.R. y = 22.50x + 45
S. R. : y = 35x + 30
35x + 30 = 22.50x + 45
12.50x + 30 = 45
12.5x = 15
x = 2.5 hours it have an same price total
The equation represents the cost after x hours.
At Rocking Horse Ranch:
y = 45 + 22.50x
At Saddlecreek Ranch:
y = 30 + 35x
The cost for both the Rocking Horse Ranch and Saddlecreek Ranch is the same after 1.2 hours.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
We have,
At Rocking Horse Ranch:
Admission = $45
Trail rides per hour = $22.50
At Saddlecreek Ranch:
Admission = $30.
Trail rides per hour = $35
We have to find out after how many hours the cost from both the Ranch is the same.
We can make two equations as,
y = 45 + 22.50x ____(1)
y = 30 + 35x _____(2)
Now,
From (1) and (2) we get,
45 + 22.50x = 30 + 35x
45 - 30 = 35x - 22.50x
15 = 12.50x
x = 15/12.50
x = 1.2
Thus,
The cost for both the Rocking Horse Ranch and Saddlecreek Ranch is the same after 1.2 hours.
Learn more about equations here:
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Solve for m.
-9 - m = -4 – 2m
m =
Answer:
m = 5
Step-by-step explanation:
-9 - m = -4 -2m
-m = -4 +9 - 2m
-m = 5 -2m
2m - m = 5
m = 5
Identify the like terms in the following expression: 15m + 2n - 4m + n +12m
John could not decide, but he had 9 dollars he could spend on fruit kabobs that cast 1.75 dollars and smoothies that cost 2.50 dollars. He knew he wanted at least one each. What are some combinations he could afford? Show at least three possibilities.
Answer:
One fruit kabob and one smoothie
Two fruits kabobs and two smoothies
Three fruit kabobs and one smoothie
One fruit kabob and two smoothies
Explanation:
In this situation, the basic combination John can afford is simply to buy one fruit kabob and one smoothie ( $1.75 + $ 2.50 = $4.25) because he wants at least one unit of each item. Additionally, it is possible to add more units of each item to create new combinations or possibles, just make sure they do not total more than 9 dollars, which is the money John has. Here are some of the possible combinations:
Two fruit kabobs and two smoothies
Fruit kabobs: $1.75 x 2 = $3.5
Smoothies: $ 2.50 x 2 = $5
Total: $8.5
Three fruit kabobs and one smoothie
Fruit kabobs: $1.75 x 3 = $5.25
Smoothie: $2.50
Total: $7.75
One fruit kabob and two smoothies
Fruit kabob: $1.75
Smoothies: $2.50 x 2 = $5
Total: $6.75
Thang decided to borrow $7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 7%. How much interest will Thang pay? Thang will pay $ interest?
Answer:
2117
Step-by-step explanation:
Hoped It help UwU
can you help me, I'm stuck
Answer:
x=9
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
According to the Product of a Power Property, when you multiply the power with the same base, you just have to add the exponents.
Please help me!!
Thank you so much!!
Answer:the first one is the one in the 2 box and the 3rd is the last one
Step-by-step explanation:
Choose the correct equation for the situation. Jane is 3 years older than Sam. If jane 12, how old is Sam
27x^6-152x^3+125=0
HELP ME AND PLEASE EXPLAIN!
Answer:
[tex]x=5/3\text{ or } x=1[/tex]
Step-by-step explanation:
We have the equation:
[tex]27x^6-152x^3+125=0[/tex]
We can solve this using u-substitution. Let's let u=x³. Therefore:
[tex]27(x^3)^2-152(x^3)+125=0[/tex]
Substitute all x³s for u:
[tex]27u^2-152u+125=0[/tex]
This is now in quadratic form. So, we can use the quadratic formula:
[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Our a is 27, b is -152, and c is 125. So:
[tex]u=\frac{-(-152)\pm \sqrt{(-152)^2-4(27)(125)}}{2(27)}[/tex]
Simplify:
[tex]u=\frac{152\pm\sqrt{9604}}{54}[/tex]
Simplify:
[tex]u=\frac{152\pm 98}{54}[/tex]
Reduce. Divide everything by 2:
[tex]u=\frac{76\pm49}{27}[/tex]
Split into two cases:
[tex]u=\frac{76+49}{27}\text{ or } u=\frac{76-49}{27}[/tex]
Solve for each case:
[tex]u=\frac{125}{27}\text{ or } u=\frac{27}{27}=1[/tex]
Substitute back x³ for our u:
[tex]x^3=\frac{125}{27}\text{ or } x^3=1[/tex]
Take the cube root of each equation:
[tex]x=\sqrt[3]{\frac{125}{27}}\text{ or } x=\sqrt[3]1[/tex]
Evaluate:
[tex]x=5/3\text{ or } x=1[/tex]
And that's our two solutions.
And we're done!
how do i write 0.9 in wordform
Answer:
nine tenths
or, simpler:
zero point nine
Given: Line segment N M is parallel to line segment P O. and Angle 1 is-congruent-to angle 3 Prove: Line segment N M is parallel to line segment N O. 4 lines are connected. Line segment L M connects to line segment M N to form angle 1. Line segment M N connects to line segment N O to form angle 2. Line segment N O connects to line segment O P to form angle 3. A 2-column table has 5 rows. Column 1 is labeled statements with the entries line segment N M is parallel to line segment P O, angle 2 is-congruent-to angle 3, angle 1 is-congruent-to angle 3, angle 1 is-congruent-to angle 2, line segment L M is parallel to line segment N O. What is the missing reason in the proof?
Answer:
C
Step-by-step explanation:
The proof would be the same as statement 2 as the conditions are the same.
Answer:
C
Step-by-step explanation:
this is correct on Edge 2020 :)
Another name for the natural number is____.
A. The whole numbers
B. The counting numbers
C. The integers
D. The rational numbers
Answer:
counting numbers is another name
