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2 years ago

Mathematics!! Can anyone help me with this? ^^

Mathematics

2 answers:

Maru [420]2 years ago

7 0

5. I thinks it’s mistake there and teacher meant 6y-5=59

6y=59+5
6y=64
y= 32/3

6.
7y=35-7
7y=28
y=4

Lyrx [107]2 years ago

4 0

6. 4
Steps: subtract 7 from both sides / so basically subtract 7 by 35 and you will get 28, now divide 28 by 7 and your should get 4!!
Also i love ur pfp!

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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

Answer the question below thx

AnnZ [28]

Answer:

The second option: "Even though Antartica is cold and has snow, it is a desert."

Step-by-step explanation:

This is the answer because by reading the paragraph, you will see that the main idea is stated in the first few sentences.

5 0

3 years ago

Read 2 more answers

There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose t

FrozenT [24]

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

$^9C_4$

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

$^9C_4=\frac{9!}{4!(9-4)!}$

$=\frac{9!}{5! \ 4!}$

$=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$

= 126

7 0

3 years ago

What is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form

emmasim [6.3K]

Answer:

0.216

Step-by-step explanation:

$8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216$