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Viefleur [7K]
3 years ago
9

Diego's age `d` is 5 more than 2 times his sister's age `s`. This situation is represented by the equation `d=2s+5`. If we know

Diego's age, which equation will help us find his sister's age?
Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Answer:  s=\dfrac{(d-5)}{2}.

Step-by-step explanation:

Given: d denotes Diego's age while s denotes his sister's age.

The situation is represented by the equation d=2s+5.

To find his sister's age we can write the above equation as s=\dfrac{(d-5)}{2} [we first subtract 5 from both sides and then divide both sides by 2]

Hence, the required equation: s=\dfrac{(d-5)}{2}.

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The fourth term in an arithmetic sequence is 18 and the seventh term is 39. If the first term is a1 , which is an equation for t
evablogger [386]

Answer:

<h2>            aₙ = 7n - 10</h2>

Step-by-step explanation:

The nth term:  a_n=a_1+d(n-1)

So:

    a₄ = a₁ + 3d

18 =  a₁ + 3d   ⇒   3d =  18 - a₁

    a₇ = a₁ + 6d

39 = a₁ + 6d

39 = a₁ + 2(18 - a₁)

39 = a₁ + 36 - 2a₁

39 = 36 - a₁

a₁ = -3

3d = 18 - (-3)

3d = 21

d = 7

So the nth term:

                            a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10

8 0
3 years ago
The intersection of two planes can be a line true or false
Gennadij [26K]
True.

Let's say that you have two pieces of paper that both represent planes. If you cross them, you'll be able to see that the intersection of these two pieces of paper is a line.
8 0
4 years ago
The perimeter of the rectangular base of a monument is 210.5 feet. If the width is equal to its​ length, what are the dimensions
Ann [662]
If width is equal to length then it's a square.
perimeter in this case would be 4x length of each side.
that is( 4 x length)= 210.5
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Solve, show your work, and simplify if needed. Don't forget to include your units. Jay had $80. He used 25 of his money to buy n
suter [353]

Answer:

Jay spend $32 on his new sneakers.

Step-by-step explanation:

The complete question is

Jay had $80. He used 2/5th of his money to buy new sneakers. How much did Jay spend on his new sneakers?

Solution

Given

The total sum of money with Jay = $80

He used 2/5th of his money to buy new sneakers

The amount of money used to buy the sneakers = 2/5 * $80

2 * $16 = $32

Jay spend $32 on his new sneakers.

5 0
3 years ago
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