Answer:
a = 3
Step-by-step explanation:
When you add the given value for a with 7, the resulting answer must be less than 11.
In this case, if: a = 3
Plug in 3 for a in the equation:
7 + a < 11
7 + 3 < 11
10 < 11 (True).
A) a = 3 is your answer.
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Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
Answer:histogram is like bar graph only but point is that in bar garph be used to leave some space when we are drawing the bar graph in graph but when we are making the histogram we are not going to leave this place
Answer:
The Equation which shows the equality is 53 = 2 h + 5 ,
The age of Sunny's house is 24 years old
Step-by-step explanation:
Given as ;
The age of the house of Chen's is 53 years old
Let the age of of the house of sunny = h years old
So, according to question
Chen's house age is 5 years more than twice the age of sunny's house
I.e Chen's house age = 2 × sunny's house age + 5
Or, 53 = 2 × h + 5
or, 2 × h = 53 - 5
so . 2 × h = 48
∴ h =
= 24 years
Hence The Equation which shows the equality is 53 = 2 h + 5 , And The age of Sunny's house is 24 years old . Answer