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sergeinik [125]
3 years ago
7

Three times a number increased by ten is equal to twenty less than six times the number. Find the number

Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Let the number be x. "Three times a number increased by 10" is mathematically translated as

3x + 10

"is equal" is mathematically translated as twenty less than six times the number" is mathematically translated as

6x - 20

The whole sentence "Three times a number increased by ten is equal to twenty less than six times the number" is translated as

3x + 10 = 6x - 20

We now solve the above linear equation to find the number x

3x - 6x = - 20 - 10

- 3x = - 30

x = 10

Check answer

Three times a number increased by ten : 3 × 10 + 10 = 40

Twenty less than six times the number : 6 × 10 - 20 = 40

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Answer:

the expected value is -$1

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3 years ago
Read 2 more answers
Twenty times y is at most 100 in interval notation
DiKsa [7]

Answer:

y\in (-\infty ,5]

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is \le

ATQ,

20\times y\le 100

i.e.

20y\le 100\\\\y\le 5

We can also write it as :

y\in (-\infty ,5]

Hence, the required interval notation is y\in (-\infty ,5].

7 0
3 years ago
Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af
Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29

In the 10 years, the refund she gets,

A_r=63.29\times12\times100\\A_r=7594.8

Interest paid by her is,

I=7594.8-5500\\I=2094.8

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

3 0
2 years ago
21 plus 4x equal 61 what equal 61
kvasek [131]

Answer:

x = 10

Step-by-step explanation:

61 - 21 = 40
40 / 4 = 10
x = 10

6 0
3 years ago
IF YOU ANSWER CORRECT YOU GET BRAINLIEST!!!!!! AND 10 POINTS!!!!!!!
Irina18 [472]

Answer:

The answer would be 30.

Step-by-step explanation:

180/6 = 30.

8 0
3 years ago
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