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iren [92.7K]
3 years ago
12

The sum of two consecutive terms in the arithmetic sequence 3​, 6​, 9​, 12​, ... is 303​; find these two terms.

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0
1st consecutive term is x. 2nd consecutive term is (x + 3)
x + x + 3 = 303
2x + 3 = 303
2x = 303 - 3
2x = 300
x = 300/2
x = 150

x + 3 = 150 + 3 = 153

so ur 2 numbers are 150 and 153
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AYO HELP ME WITH THIS!!!!
xeze [42]

Answer:

a taco is 1.25 and a drink is 0.95

Step-by-step explanation:

tacos = t

drinks = d

5t + 3d = 9.10

3t + d = 4.70

this is a simultaneous equation so times the first one by one and the second by 3 and then take them away from each other and solving to get

t = 1.25 and d=0.95

one drink is $0.95

one taco is $1.25

Hope this helps!!

4 0
3 years ago
Henry places £6000 in an account which pays 4.6% compound interest each year
aivan3 [116]

Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

7 0
3 years ago
Which of the following illustrates the truth value of the given conditional statement?
STatiana [176]

Answer:

T F → F

Step-by-step explanation:

2+2 does equal 4 so its true.

but 7+1 does <em>not</em><em> </em>equal 7, it equals 8. So its fasle.

im not sure i did this this right so if i did it wrong im sorry love (-ω-;)

5 0
3 years ago
1. Given that ADEF<br> AABC, determine the length of side DF.<br> A<br> 15
marta [7]

Answer:

DEF/3 = BAC

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4 0
3 years ago
Calculate the distance between each given pair of points. Round your answer to the nearest tenth, if necessary.
Ksju [112]
The answer is 5 

Here are the steps:

First off, we will be using the distance formula of 
d=\sqrt{(x_ {2}- x_{2}) ^{2}+( y_{2}- y_{1})^2     }

So we have the ordered pairs of (3,1) and (6,5)

Once you plug them into the formula it should look like this: 
d= \sqrt{(6-3)^2+(5-1)^2}

Now we do the math inside the parenthesis and end up with:
d=\sqrt{3^2+4^2}

Then you multiply by the power and simplify to get:
d=\sqrt{25}

And the \sqrt{25}=5

So your answer is 5
8 0
3 years ago
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