Answer:
5x + 15
Step-by-step explanation:
Given
9x + 6 - 4x + 9 ← collect like terms
= (9x - 4x) + (6 + 9)
= 5x + 15
The equation a = a equals StartFraction 180 left-parenthesis n minus 2 right-parenthesis Over n EndFraction. represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?
Answer:
The numerator of the fraction is -360
Step-by-step explanation:
a=180(n-2)/n
Solve for n
a=180(n-2)/n
Open parenthesis
a=180n-360/n
Cross product
an=180n-360
Collect like terms
an-180n=-360
Factorise
n(a-180)=-360
Make n the subject of the formula
n=-360/(a-180)
The numerator of the fraction is -360
The denominator is (a-180)
Answer:
-360
Step-by-step explanation:
How many distinct diagonals does an undecagon have?
-39
-45
-47
-44
-None of these answers are correct.
Answer:
-45
Step-by-step explanation:
Find two positive consecutive odd integers whose products is 99.
Answer:
9,11
Step-by-step explanation:
let the numbers be x, x+2 (since consecutive odd integers have a difference of 2)
therefore;
x(x+2)= 99
x²+2x=99
I usually solve the sum like this,
we need to find the nearest square number ( number smaller than the number on the R.H.S)
here, it is 81, whose square root is 9. therefore the solution is 9
verification:
(9)²+2*9=99
81+18=99
99=99
hence, 9 is the solution. therefore the positive odd consecutive integers are
x=9
x+2=9+2= 11
verification:
9*11=99
99=99
L.H.S=R.H.S
(4)(2) = (2)(4) what property is this out of commutative property , associative property, distributive property
Answer:
Commutative property
Step-by-step explanation:
This is an example of the commutative property as its states that it is applicable in multiplication and addition where 2 numbers can switch places and give the same result in both situations.
(4)(2) = 8
(2)(4) = 8
As an estimation we are told 5 miles is 8 km.
Convert 72 km to miles.
Answer:
45 miles
Step-by-step explanation:
5 miles = 8 km
72 km = 9 * 8 km
Since 8 km = 5 miles, replace 8 km with 5 miles
72 km = 9 * 8 km = 9 * 5 miles = 45 miles
A patient was
given
medicine. She took 5 ml of
medicine 3 times in one day. How much medicine did
she take in total that day?
someone please help, this is my last question!
Answer:
9.5
Step-by-step explanation:
Please help me with my math question!!
Answer:
Step-by-step explanation:
2m
______
2
______ X 0m X 0
1
= 0
Jonathan collects postcards and stamps. The number of postcards in his collection is 12 more than the number of stamps. He has 39 postcards in all. If Jonathan has x stamps, which equation represents this situation and how many stamps does he have?
How many different combinations of three books can be selected from 40 books?
Answer:
1600
Step-by-step explanation:
40x40
What is the solution to the equation 3(2×+5)=3×+4×?
Answer: i think it is 11x+7x
Step-by-step explanation:
A teacher Buys tickets for each of my students to visit a museum each student and $6.50 and she spent a total of $182 how many students tickets did you buy
Answer:
The ticket is bought for 28 students.
Step-by-step explanation:
It is given that the teacher is going to buy museum ticket for each students.
Total money spent = $182
Price of each ticket = $6.50
Let total number of tickets bought = [tex]x[/tex]
We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) [tex]x[/tex] number of times.
OR
In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.
Total money spent = [tex]x \times 6.50[/tex]
We know that total money spent is $182.
[tex]\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28[/tex]
The ticket is bought for 28 students
Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. How much cement, on average, did the company use per mile? Write your answer as a decimal.
Answer: 187.5 tons of cement
Step-by-step explanation:
From the question, Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. To calculate the number of cement on average that the company use per mile, we divide 750 tons of cement by 4 miles. This will be:
= 750 tons of cement/4
= 187.5 tons of cement
The company used 187.5 tons of cement per mile.
Answer: The company used 187.5 tons per mile.
Step-by-step explanation:
Hi, to answer this question we simply have to divide the amount of cement used (750 tons) by the miles that the company pavemented (4 miles):
Mathematically speaking:
750 t / 4 m = 187.5 tons per mile
The company used 187.5 tons per mile.
Feel free to ask for more if needed or if you did not understand something.
The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 62 × 13 = 806 26 × 31 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true?
Answer and Step-by-step explanation:
The computation is shown below:
As we assume a and b are together and c and d are together
So, the equation would be
[tex]= ab \times cd[/tex]
[tex]= (10a + b) \times (10c + d)[/tex]
= 100ac + 10(ad + bc) + bd
Now another equation i s
[tex]= ba \times cd[/tex]
[tex]= (10b + a) \times (10d + c)[/tex]
= 100bd + 10(ad + bc) + ac
Now take both equations together
So,
100ac + 10(ad + bc) + bd = 100bd + 10(ad + bc) + ac
99ac = 99bd
ac = bd
Now Like here a = 2 b = 10 and c = 5 d = 1
So,
ac = bd = 10
So we can take an example like this
So, by considering the
[tex]62 \times 13 = 806[/tex]
And,
[tex]26 \times 31 = 806[/tex]
We can the same amount
So in the given question, the choices are not there so we can calculate by the above method
Find the 98th term of the arithmetic sequence 8, 24, 40,...
Answer:
Step-by-step explanation:
AP = 8, 24 , 40....
a = 8 , d =16 , n =98 , An = ?
an= a +(n-1)d
an = 8+97*16
an=8+1552
an=1560
hope it helps you..
The 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).
What is an arithmetic sequence?An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.
The nth term is an arithmetic sequence is expressed as;
aₙ = a₁ + ( n - 1 )d
Where aₙ is the nth term, a₁ is the first term in the sequence and d is the the common difference between terms.
Given the data in the question;
n = 98a₁ = 8d = 24 - 8 or 40 - 24 = 1698th term of the arithmetic sequence a₉₈ = ?We substitute our given values into the expression above.
aₙ = a₁ + ( n - 1 )d
a₉₈ = 8 + ( 98 - 1 )16
a₉₈ = 8 + ( 97 )16
a₉₈ = 8 + 1552
a₉₈ = 1560
Therefore, the 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).
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What is the measure of
Answer:
B= 55°
Step-by-step explanation:
A+B+C= 180°
90°+B+35°=180°
B= 55°
Is 20, 101, and 99 a Pythagorean triple
Answer:
yes
Step-by-step explanation:
Using the Pythagorean Theorem, we should get 20² + 99² = 101² and we need to check if this is a true statement.
400 + 9801 = 10201
10201 = 10201 so yes, it is.
given that cosθ 1/3 and θ is acute, what is tanθ?
Answer:
tanθ=2√2
Step-by-step explanation:
cosθ= 1/3, and θ is acute;
cos²θ=1/9
sin²θ+cos²θ=1
sin²θ=1-cos²θ=1-1/9=8/9
=> sinθ=√(8/9)=2√2 /3
tanθ=sinθ/cosθ
tanθ=(2√2 /3)/(1/3)=2√2
tanθ=2√2
Dos hermanos juntaron su dinero para comprar un regalo a su papa entre los dos reunieron 864 que cantidad aporto cada uno si paco dio 5 pesos por cada 7 que dio juan
Answer:
Paco contributed = 360pesos
Juan contributed = 504pesos
Question:
Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.
Step-by-step explanation:
Let the common factor between each brother = p
Paco gave = 5×common factor = 5p
Juan gave = 7×common factor = 7p
Total money contributed by both brothers = 864
Total money contributed by both brothers = 5p + 7p
5p + 7p = 864
12p = 864
p = 864/12
p = 72
Paco contributed = 5p = 5×72 = 360pesos
Juan contributed = 7p = 7×72 = 504pesos
What is the area of this composite figure?
10 cm
10 cm
10 cm
16 cm
6 cm
10 cm
1
10 cm
10 cm
96 cm2
160 cm?
208 cm?
256cm2
Answer:
[tex]256cm^2[/tex]
Step-by-step explanation:
Calculate the area of the two triangles first: 6 * 16 = 96
Then the rectangle: 10 * 16 = 160
160 + 96 = 256
a number x decreased by 3 is 5.
Answer:
8
Step-by-step explanation:
X=8 bc 8-3=5
5x+7/2=3/2x-14 please help me with this
Answer:
x = 5
Step-by-step explanation:
5x + 7/2 = 3/2x - 14
like terms together;
5x - 3/2x = -14 - 7/2
7/2x = 35/2
divide both sides by the reciprocal of the fraction next to the unknown
divide by 2/7
x = 5
The smallest of three consecutive odd is numbers is n. If their sum is 27,find the three numbers
Answer:
Therefore the sum of three odd numbers is always an odd number. Hence Proved. Let the number is 15,13 and 3 then 15=2*7+1 13=2*6+1 3=2*1+1 where 1,6 and 7 now 15+13+3=2*7+1+2*6+1+281+11 =2(7+6+1)+3 =2*14+3(24 is our 'm') and 2*14≠30. OR 15+13+3≠30
Step-by-step explanation:
The question is that you cannot get 30 by adding any three odd numbers because addition of 3 odd numbers always give another odd number and hence 30 which is an even number cannot be achieved. 2n-1 where n is a natural number.
If an^2 =b then in terms of a and b , n=?
Answer:
√b/a
Step-by-step explanation:
an^2 =bn^2=b/an=√b/aAnswer:
n = ± [tex]\sqrt{\frac{b}{a} }[/tex]
Step-by-step explanation:
Given
an² = b ( divide both sides by a )
n² = [tex]\frac{b}{a}[/tex] ( take the square root of both sides )
n = ± [tex]\sqrt{\frac{b}{a} }[/tex]
what is the inverse of the statement “if i like art class, then i like painting” ?
Answer:
If I do not like art class, then I do not like painting.
Step-by-step explanation:
Answer:EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEvEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Erik decides to save money to buy a new computer. He starts with $100. He then adds a
constant amount each week.
● After 2 weeks, he has $140
● After 4 weeks, he has $180
Write an equation to represent the linear relationship between his total savings, S, in dollars, and the
number of weeks since he started saving, n. (Hint: use the equation Y 2 − Y 1 )
Answer:
You Can Open up this link to find your answer!!
Step-by-step explanation:
1/8(5y+64)=1/4(20+2y)
Answer:
-24
Step-by-step explanation:
1/8(5y+64)=1/4(20+2y)
Multiplying both sides of the equation...
1/8(5y)+1/8(64)=1/4(20)+1/4(2y)
1/8(5y)+(64/8)=(20/4)+(2y/4)
1/8(5y)+8=5+y/2
1/8(5y)+8=5+1/2(y)
Now multiplying through by the least common multiple, which is 8
8×1/8(5y)+8×8=8×5+8×1/2(y)
1×1(5y)+64=40+4×1(y)
Simplifying both sides...
5y+64=40+4(y)
5y+64=40+4y
By grouping like terms...
5y-4y=40-64
1(y)= -24
y= -24
hope this was helpful
I need help with this math problem.
Answer:
x = 2 , y = 4
Step-by-step explanation:
If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.
From the parallelogram we see:
2x = y
y = 2x
Substitute y = 2x in 2(y) - 2 = 6, gives:
2(2x) - 2 = 6
4x = 6 +2
x =2
Substitute x = 2 in y = 2x, gives:
y = 2(2)
y = 4
So x = 2 , y = 4
The side of one square is equal to 3m and its diagonal is equal to the side of a second square. Find the diagonal of the second square.
Answer:
6m
Step-by-step explanation:
the side of first square = 3 m
area of first square = 3^2= 9 m^2
let the side of second square = x m
since diagonal of first square = x m as per the question
in a square each angle is 90 degree
therefore by applying pythagorus theorem ,
diagonal ^2 = side^2 + side ^2
diagonal^2 = 3^2+3^2=9+9
DIAGONAL= square root of 18
diagonal= 3[tex]\sqrt{2}[/tex] m = side of second square
therefore in second square ,
one angle is 90 degree , therefore by applying pythagorue theorem
diaqonal^2 = side ^2 + side ^2 = (3[tex]\sqrt{2}[/tex])^2 + ( 3[tex]\sqrt{2}[/tex])^2
diagonal ^2 = 18 + 18
diagonal = square root of 36
therefore diagonal of second square is 6m
hope it helps you... please mark me as the brainliest..
Answer:
6m explained it all hope it helps
The measure of an angle is 159
degrees.
What is the measure of its
supplementary angle?
Answer:
21°
Step-by-step explanation:
Supplementary is defined as two angles whose sum is 180. These angles must therefore be on a straight line cut by a transversal and must be less than 180 by themselves.
If one angle is 159, then we can simply subtract it from 180 to get the other angle.
A more algebraic way is to set up the equation, 159 + x = 180. Subtract 159 from 180 to find x.
The Measure of supplementary angle is 21⁰.
What are supplementary angle?The pair of angles that always add up to 180 degrees are referred to as supplementary angles. The term "supplements of each other" refers to these two angles. The Latin words "Supplere" and "Plere" are the source of the word "supplementary." "Supplere" means "supply," while "Plere" means "fill." Thus, "something when supplied to complete a thing" is the definition of "supplementary."
Given an angle 159⁰
and according to supplementary angles property,
when sum of two angles is 180⁰ are supplementary
∠A + ∠B = 180⁰ (angles are supplementary)
Let the another angle be x
159 + x = 180
x = 180 - 159
x = 21⁰
Hence the supplementary angle is 21⁰.
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