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ivolga24 [154]
3 years ago
14

What are the solution to the equation -3

Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

38.5

Step-by-step explanation:

Lets say, first number = x


Second number = 3x+7


Total = 49



(x)+(3x+7)= 49


4x+7 = 49


4x = 42


x = 42/4


x= 10.5



x= 10.5


3x+7 = 3(10.5)+7 = 38.5



Hope this helps!!

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The sum of the first ten terms of a linear sequence is 145. the sum of the next ten term is 445. find the sum of the first four
chubhunter [2.5K]

The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

S_n =\frac{n}{2}(2a+(n-1)d)

The sum of the first ten terms of a linear sequence is 145

⇒ S_{10} =\frac{10}{2}(2a+(10-1)d)

⇒ 145 = 5 (2a+9d)

⇒ \frac{145}{5} =2a+9d

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ S_{20} =\frac{20}{2}(2a+(20-1)d)

⇒ 590 = 10 (2a + 19d)

⇒ \frac{590}{10}=2a+19d

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \frac{30}{10}

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \frac{2}{2}

⇒ a = 1

Thus, sum of first four terms is

⇒ S_4 =\frac{4}{2}(2(1)+(4-1)(3))

⇒ S_4 =2(2+(3)(3))

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

Learn more about sum of sequence of n terms here

brainly.com/question/20385181

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6 0
1 year ago
3 less than the quotient of 20 and x
UkoKoshka [18]
It would be (20/x) -3
3 0
3 years ago
What is the gcf to 36 k and 144km
leonid [27]
The GCF is 36 since 36 can go into 144 (:
x
7 0
2 years ago
Read 2 more answers
Solve for X! Please help
WARRIOR [948]

The two given angles are vertical angles which mean they are the same:

9x + 72 = 4x + 112

Subtract 72 from bot sides:

9x = 4x + 40

Subtract 4x from both sides:

5x = 40

Divide both sides by 5:

X = 8

4 0
3 years ago
Let u = <-3, -5>, v = <-3, 1>. Find u + v. <-2, -8> <-8, -2> <0, -6> <-6, -4>
salantis [7]

Answer:

<-6,-4>

Step-by-step explanation:

To find u+v, all you have to do is add the corresponding components of each.

That is for example on this problem, you would do

<-3,-5>+<-3,1>

=<-3+-3,-5+1>

=<-6,-4>.

7 0
3 years ago
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