Answer:
[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]
open the brackets:
[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]
group the coefficients of m and n in their brackets:
[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]
then operate the brackets:
[tex] = - 9m + 11n[/tex]
{x:x is a natural number and x is greater than 70} write the set in listed form.
Answer:
{71,72,73,74,75,76,77,78,79,80}Step-by-step explanation:
natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70
Please help me with this problem
[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]
Answer:
Lies between 3&4
See THE IMAGE FOR SOLUTION
Is 53240 a perfect cube? If not, find the smallest number should 53240
be divide so that the quotient is a perfect cube?
Answer:
53240 should be divided by 5 to make it a perfect cube.
Step-by-step explanation:
a number set consists of {4，5，6，7}。How many 2-digit combinations of numbers from the data set can be divided by 3？
Answer:
5
Step-by-step explanation:
This trick works with 3:
If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.
44 is not divisble by 3 because 4+4=8 is not divisble by 3.
45 is divisble by 3 because 4+5=9 is divisble by 3.
46 is not divisble by 3 because 4+6=10 is not divisble by 3.
47 is not divisble by 3 because 4+7=11 is not divisble by 3.
54 is divisble by 3 because 5+4=9 is divisble by 3.
55 is not divisble by 3 because 5+5=10 is not divisble by 3.
56 is not divisble by 3 because 5+6=11 is not divisble by 3.
57 is divisble by 3 because 5+7=12 is divisble by 3.
64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.
Finally 7...
74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.
The victors are
45
54
57
66
75
Which option is the correct interpretation of this numerical expression?
55 ÷ 5 − 4
the quotient of 55 divided by 5, decreased by 4
four subtracted from the product of 55 and 5
five less than the quotient of 55 divided by 4
fifty-five divided by the difference of 5 and 4
Answer:
7
Step-by-step explanation:
bc 11×5=55 so you divide it and its 11-4=7 :)
Which of the following is true ?
Select one:
O a. 70<7-3
O b. 4-5<4-3
O c. 5-2 <5-3
O d. 25223
Answer:
b. 4 - 5 < 4 - 3
Step-by-step explanation:
a. 70 < 7 - 3
70 < 4
false, 70 is not greater than 4
b. 4 - 5 < 4 - 3
- 1 < 1
true, 1 is greater than -1
c. 5 - 2 < 5 -3
3 < 2
false, 2 is not greater than 3
d. 25223
?
hope this helps! if you have any questions, let me know!
Find the circumference of a circle if the area of the circle is 256 π in².
Answer:
32π in
= 100.48 in.
Step-by-step explanation:
From Area:
radius, r = √(A/π)
= √(256 π in²/π)
= 16 in
where π = 3.14
》 Circumference = 2π(r)
= 2π(16)
= 32π in.
= 100.48 in
find the range of possible values for x
[tex]\\ \rm\longmapsto x-5=41[/tex]
[tex]\\ \rm\longmapsto x=41+5[/tex]
[tex]\\ \rm\longmapsto x=46[/tex]
Hence
[tex]\\ \rm\longmapsto 45<x<47[/tex]
Find the smallest number that must be added to 7653 to make it a perfect square? Explain.
9514 1404 393
Answer:
91
Step-by-step explanation:
√7653 is about 87.48
The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...
7744 -7653 = 91
Adding 91 to 7653 will make it a perfect square.
Vertical Stretch of 7, up 8, reflect over the x axis???
Answer:
f(x) = -(7x) + 8
Step-by-step explanation:
The negative on the outside reflects over the x-axis.
The 7 on the inside stretches the function vertically.
The +8 on the outside moves the function up 8.
Can you answer this, please?
Answer: C) 3
Explanation:
The degree of a single variable polynomial is the largest exponent, which in this case is 3.
2. When a number n is subtracted from 18
and the difference is divided by n, the
result is 2. What is the value of n?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 14
Answer:
e) 14
Step-by-step explanation:
(18-n)/2 = 2
18-n = 4
-n = -14
n = 14
The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.
What is Algebra?The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.
Given:
When a number n is subtracted from 18
=(18- n)
and, the difference is divided by n
=(18 - n)/n
so, result is 2
(18 - n)/n = 2
18 - n = 2n
3n = 18
n= 18/3
n= 6
Hence, the value of n is 6.
Learn more about algebra here:
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A triangle has three angles. The first angle measures 20 less than a number. The second triangle is three
times the number. The third is the number. What are the measurements of each of the three angles in this
triangle?
Answer:
first angle is 20, 2nd is 120, 3rd is 40.
Step-by-step explanation:
with these words, "20 less than a number, Three
times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.
HELP HELP HURRYYY the product of two numbers is rational. The first number is 3 sqrt2. What is the possible value of the other number?
The possible value of the other number will be 7√32. The correct option is D.
What is a rational number?A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.
It is given that the first number is 3√2 the value of the second number will be:-
Rational number = 3√2 x 7√32
Rational number = 21√64
Rational number = 21√( 8 x 8 )
Rational number = 21 x 8
Rational number = 168
Therefore, the possible value of the other number will be 7√32. The correct option is D.
To know more about rational numbers follow
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I need help from big brain
Answer:
[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.
I hope this helps :). If you have any questions let me know. Have a good day.
Pringle's variety pack 18 cups for $6.48 cost per cup
Answer:
0.36
Step-by-step explanation:
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
a. What is the area of the pool cover?
b. What is the length of the rope?
You must show all of your work to receive credit
Answer:
The cover has diameter of:
20 feet + 2*12 inches = 20 feet + 2 feet = 22 feeta.
Area of the pool cover:
A = πd²/4 = 3.14*22²/4 = 379.94 ft²b.
The length of the rope:
C = πd = 3.14*22 = 69.08 ftAnswer:
346.19ft65.94ftStep-by-step explanation:
Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.
20 + 2 = 22ft
Part A:
The formula for the area of a circle is πr².
To find the radius just divide by two; 22 / 2 = 11ft
= π(11)²
= 121π
≈ 379.94ft
Part B:
We can use the circumference formula [ dπ ] to find how long the rope is.
= 22(3.14)
= 69.08ft
Best of Luck!
Subtract.
5/23 - 4/23
(Type an integer or fraction.)
Answer:
1/23
Step-by-step explanation:
5/23 - 4/23 would be 1/23. When the denominators of the fractions are the same, you can just subtract the numerators.
Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )
= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )
= [tex]\frac{1}{3}[/tex]
Need help ASAP please
Answer:
Terms for 4a^2-5a-3: 4a^2, -5a, -3
Terms for Equation 2 is correct.
Constants for 4a^2-5a-3: -3
Constants for Equation 2 is correct.
Coefficients for 4a^2-5a-3: 4, -5
Coefficients for Equation 2: 7, -3
Step-by-step explanation:
hey please help i’ll give brain
Answer:
[tex]8 + x = 2 + 8 \\ 8 + x = 10 \\ x = 10- 8 \\ \\ x = 2 \\ then8 + 2 = 2 + 8 \\ thank \: you[/tex]
Answer:
2
Step-by-step explanation:
8 + 2 = 10, so basically, 10 - 8 = 2. Meaning the missing number to when 8 is added to something to equal 10, would be 2.
Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2
Answer:
The answer is n+2.Step-by-step explanation:
I hope U like my answer and my answer helped U....Answer:
n+2 represemts the number of sides in the polygon for the nth member of the sequence
5. Classify the number 15.
O Whole, integer, rational, real
Integer, rational, real
O Natural, whole, integer, rational, real
O rational, real
Answer:
O Natural, whole, integer, rational, real
Step-by-step explanation:
it can be expressed as a fraction of 45/3, which means that it is rational.
it is a whole number because it does not contain a fraction or decimal.
it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc
it is a natural number because it is a positive integer.
and it is an integer because it does not contain a decimal.
Answer: Natural, whole, integer, rational, real
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[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]
Answer:
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]
[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]
[tex]\\ \rm\longmapsto 5(3)[/tex]
[tex]\\ \rm\longmapsto 15[/tex]
A number of tourist were interviewed on their
choice of
means
of travell Two-thirds said
they had travel by road, 13 by air. 4
the by
both
air and road. If
20 tourist had not travel
road
Represent the information on
on a Vena
diagram:
by either
air
or road. Represent the information on a venn diagram
Answer:
A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?
Give the geometric representation of 2x+ 1= x-4 as an equation in (a) one variable (b) two variables
please help
Answer:
Step-by-step explanation:
2x+1=x-4
2x-x= -4-1
1x=-5
x=-5If I start at 6:05 and end at 3:30. How much time is that.
Isn’t is 2 hours and 25 minutes or 2 hours and 34 minutes?
Answer:
The answer is 9 hours and 25 minutes
Step-by-step explanation:
if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes
hope that helps>3
How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0
Step-by-step explanation:
Infinitely many solutions are there....
hope it helps
c) Convert 120 into quinary equivalent.
Assuming 120 is a base 10 numeral, then
120 = 100 + 20 = 4×5² + 4×5¹
so you have
120₁₀ = 440₅
Simplify
32
O
220
33
O
O
2°
38
O
122
2
0
32
Answer:
first option
Step-by-step explanation:
Using the rule of exponents
[tex](\frac{a^{m} }{a^{n} }) ^{p}[/tex] = [tex]\frac{a^{mp} }{a^{np} }[/tex] , then
[tex](\frac{2^{5} }{^{2} } )^{4}[/tex]
= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]
= [tex]\frac{2^{20} }{3^{8} }[/tex]
