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bearhunter [10]
3 years ago
6

Consider a sequence that follows a minus 5 pattern: 30, 25, 20, 15, ….

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

a_2_0=-65

Step-by-step explanation:

As we can see, the sequence starts from 30 and decreases by 5 each time. So, one possible formula for that sequence could be:

a_n=35-5n\hspace{10}n\in N

Let's confirm the formula by evaluating the first 4 terms:

a_1=35-5(1)=35-5=35\\a_2=35-5(2)=35-10=25\\a_3=35-5(3)=35-15=20\\a_4=35-5(4)=35-20=15

Finally evaluating n=20:

a_2_0=35-5(20)=35-100=-65

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Louis has three more quaters than dimes in his pocket, for a total of $1.80 . Which equation could used to detemine the number o
antoniya [11.8K]

Answer:

3+d=q and 0.10d+0.25q=1.80

There are 3 dimes and 6 quarters.

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.  

We know there are three more quarters than dimes. We write that as 3+d=q.

We also know the total cost and the value of each coin. We write 0.10d+0.25q=1.80.

We substitute 3+d for q in the second equation.

0.10d+0.25(3+d)=1.80

0.10d+0.75+0.25d=1.80

0.35d+0.75=1.80

We isolate the variable by subtracting 0.75 across the equal sign and then dividing by the coefficient of d.

0.35d=1.05

d=3

There are 3 dimes.

8 0
3 years ago
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Answer: the picture...it won't load

Step-by-step explanation:

5 0
2 years ago
Write 3 additions 3 multiplications 2 division equato that equals the number 42830
alex41 [277]

Answer:

28,550.33333

Step-by-step explanation:

28,550.33333 + 3 = 28,553.33333

28,553.33333 x 3 = 85,659.99999

85,659.99999 ÷ 2 = 42830

6 0
3 years ago
How do you check the answer of -6 = x/3
viktelen [127]

Answer:

-6 = x / 3         -Multiply both sides by 3

-6 * 3 = x / 3 * 3

-18 = x

Now, you can check your answer:

-6 = -18 / 3

-6 = -6

Hope this helps!

8 0
3 years ago
Each number in a group of natural numbers was divided by the sum of all the numbers in that same group. What is the sum of all t
schepotkina [342]

Answer:

1

Step-by-step explanation:

Let us consider the case of 3 numbers: x, y, and z.  

Then  x/x+y+z + y/x+y+z + z/x+y+z = x+y+z/x+y+z = 1

The same works also for any quantity of numbers.

5 0
3 years ago
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