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dybincka [34]
3 years ago
9

Help please, i really need it​

Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:

1/2

Step-by-step explanation:

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Could someone answer and explain these please? Thank you!
Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

x=(10 \times t)+(1 \times u)

x=10t+u

The two digit number 'y' is obtained by reversing the digits of x.

So, y=(10 \times u)+(1 \times t)

y=10u+t

Now, the value of x-y is expressed as:

x-y=(10t+u)-(10u+t)

x-y=10t+u-10u-t

x-y=9t-9u

x-y=9(t-u)

So, 9(t-u) is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = \frac{a}{1-r}

Since, the sum of the given infinite geometric series = 200

Therefore,\frac{a}{1-r}=200

Since, r=0.15 (given)

\frac{a}{1-0.15}=200

\frac{a}{0.85}=200

a=0.85 \times 200

a=170

The nth term of geometric series is given by ar^{n-1}.

So, second term of the series = ar^{2-1} = ar

Second term = 170 \times 0.15

= 25.5

So, the second term of the geometric series is 25.5






Step-by-step explanation:


8 0
3 years ago
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).
Arte-miy333 [17]
I just took the test and the answer is step 2.
5 0
3 years ago
Read 2 more answers
The sum of two numbers is 22. The difference is 6. What are the two numbers?
algol [13]

Answer:

Numbers are 14 and 8

Step-by-step explanation:

Let the 2 numbers be x and y.

Write 2 equations:

x + y = 22

x - y = 6

Solve by substitution:

x - y = 6

x = y + 6

Plug into the other equation:

(y + 6) + y = 22

2y + 6 = 22

2y = 16

y = 8

Plug into either equation:

x + 8 = 22

x = 14

Numbers are 14 and 8

7 0
3 years ago
Read 2 more answers
1.On Sunday morning, Mrs. Turner made 2 gallons of juice. How many cups of juice did she make?2. Later that night, her family dr
kap26 [50]

Answer:

1. 16 cups

2. 8 pints

Step-by-step explanation:

In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.

To solve this problem, we need to know the amount of cups present in a gallon of juice.

Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice

2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice

We need our answer in pints however.

Mathematically, 1 pint is composed of 2 cups.

This means 16 cups would be composed of 16/2 pints = 8 pints

4 0
3 years ago
Read 2 more answers
Whats the explicit formula sequence
weeeeeb [17]
An explicit formula<span> designates the n</span>th<span> term of the </span>sequence<span>, as an expression of n (where n = the term's location). It defines the </span>sequence<span> as a </span>formula<span> in terms of n.</span>
6 0
3 years ago
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