How do you find the sum of 4/10 and 55/100?
Answers
That's 100 so
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Answers
First
Simplify both sides of the equation
x + 3/5 = 2/3
second
subtract 3/5 from both sides
x + 3/5 -3/5 = 2/3 -3/5
x= 1/15
I hope you understand it ! and I hope its help !
3/5 -3/5 +x = 2/3 -3/5
x = 2/3 -3/5 Multiply 2/3 and -3/5 so you get the same denominator
= 2*5/3*5 - 3*3/5*3
= 10/15 - 9/15 Now you can minus it
x = 1/15
You can only add/minus two fractions if they have the same denominator.
Photo attached. :D
Answers
Arithmetic Sequence
The values of a and b is a = 2 and b=3
Step-by-step explanation:
Given the terms of the arithmetic sequence are
2 , a - b , 2a + b + 7, a - 3b
Let the common difference be D
Therefore,
The difference between the first two consecutive terms is
(a – b) – 2 = D ------------------------------( 1 )
The difference between the next two consecutive terms is
D = (2a + b+7) – ( a - b ) ---------------------(2 )
Equating equation 1 and equation 2
⇒ (a – b) -2 =(2a+b+7)-(a-b)
⇒ a – b – 2 = a + 2b +7
⇒ 3b = -9
⇒ b = -3
Similarly
The difference between the next two consecutive terms is
D = (a-3b)-(2a+b+7) ------- (3)
⇒ (a-3b)-(2a+b+7)=(2a+b+7)-(a-b)
⇒ a-3b)-(2a+b+7) -a - 4b -7 === a+2b+7
⇒ 2a = - ( 14 + 6b)
⇒ a = -( 7 + 3b)
⇒ a = - ( 7 – 3*3 )
Thus the value of a = 2
Hence , the values of a and b is a = 2 and b=3
Final answer:
To find the values of a and b in an arithmetic sequence, we can set up a system of equations using the given terms. Solving the system will give us the values of a and b.
Explanation:
Let's use the information given to find the values of a and b. We can set up a system of equations using the first four terms of the arithmetic sequence.
The first term is 2, so we know that: a-b = 2.
The second term is a-b, so we can write: a-b + d = 2a+b+7, where d represents the common difference.
The third term is 2a+b+7, so we have: a-b + 2d = 2a+b+7 + d.
The fourth term is a-3b, so we get: a-b + 3d = a-3b + 2d.
We can solve this system of equations to find the values of a and b.
After simplifying and solving the system, we find that a = 10 and b = 8.
Learn more about Arithmetic sequence here:
#SPJ3
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{2,4,6,8,...} is an example of an even number infinite set
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Answer: $13200
Step-by-step explanation:
If 100 square feet of roofing is installed for a cost of $1,200
1,100 square feet would cost $Z (let the unknown cost be Z)
i.e 100 ft^2 = $1,200
1100 ft^2 = $Z
Hence, to get the value of Z, cross multiply
Z x 100 = 1200 x 1100
100Z = 130000
Divide both sides by Z
100Z/100 = 1320000/100
Z = $13200
Thus, $13200 is the cost to have 1,100 square feet of roofing sheet installed
Answers
29+d=54
-29 -29 subtract 29 from both sides because you want the constants ---------- (numbers) on one side and the variable on the other
d= 25
DO THE SAME THING WITH ALL THE OTHER NUMBERS
you should get d= 25, -5, -4, -3
Answers
Answer:
CD = 10
AD = 22
EC = 13
AC = 26
∠CAD = 23°
∠BAC = 47°
∠ADC =110°
Step-by-step explanation:
A parallelogram is a quadrilateral with two sets of opposite parallel lines.
Which mean in ABCD parallelogram given AB is parallel to DC and BC is parallel to AD.
Now lets find the values required,
CD = AB (Opposite sides are equal in length)
But, AB= 10 (given) therefore CD = 10.
AD = BC (Opposite sides are equal in length)
But, BC= 22 (given) therefore AD = 22.
EC = AE (Diagonals bisect each other)
But, AE= 13 (given) therefore EC = 13
AC = AE + EC
=
AC =
∠CAD = ∠BCA (Alternate interior angles are equal)
But, ∠BCA = 23° therefore, ∠CAD = 23°
∠BAC = ∠ACD (Alternate interior angles are equal)
But, ∠ACD = 47° therefore, ∠BAC = 47°
∠ADC + ∠BCD = 180° (Consecutive interior angles)
But, ∠BCD = 23°+47°=70°
∠ADC = 180°- ∠BCD
=180°-70°
∠ADC =110°