Answer:
d = 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁ = - 2 and a₈ = 26 , then
- 2 + 7d = 26 ( add 2 to both sides (
7d = 28 ( divide both sides by 7 )
d = 4
Answer:
The slope is 4 or 4/1.
Step-by-step explanation:
Since these are all in numbers evenly divisible by 10, we can go ahead and make this easier by dividing everything by 10. When we do this, we can see a point crossing an intersection at (3,1), or if you left it, (30, 10). Next, we can see another point crossing another intersection at (4,5) or (40, 50). Since we have two points that are easy for us to subtract, we can use the slope formula. The formula is as follows: y2-y1 / x2-x1. We can pick which of these we want to be 1 or 2, but whichever one we pick has to be 1 or two on both the top on the bottom. for example, I did (50-10) / (40-30). That gets us 40/10. If you divided by ten in the first place, you would get 4/1. From there, if you have the bigger answer, you need to simplify to simply 4. The shorter answer doesn't need to be simplified because we already simplified. I hope this helps!
Answer:
k=67/1360
Step-by-step explanation: Step 1: Simplify both sides of the equation.
201=4080k
Step 2: Flip the equation.
4080k=201
Step 3: Divide both sides by 4080.
4080k
4080
=
201
4080
k=
67
1360
Answer:
k=
67
1360
Answer:
30
Step-by-step explanation:
Perimeter of parallelogram = 70 ft
-> 2x + 2y = 70 .....(1)
x = 6y (Given) .....(2)
From equations (1) & (2)
2(6y) + 2y = 70
12y + 2y = 70
14y = 70
y = 70/14
y = 5
-> x = 6*5
-> x =30
The ratio of blue counters to red counters to yellow counters will be given as 3: 2: 6.
<h3>What are ratio and proportion?</h3>
A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
There are only blue (B) counters, red (R) counters, and yellow (Y) counters in the bag.
There are twice as many blue counters as yellow counters.
There are three times as many red counters as yellow counters.
Then the relationship will be
Y = 2B ..1
Y = 3R ..2
From equations 1 and 2, we have
2B = Y = 3R
B/3 = Y/6 = R/2
Then the ratio of blue counters to red counters to yellow counters will be
B:R:Y::3:2:6
More about the ratio and the proportion link is given below.
brainly.com/question/14335762
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