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antoniya [11.8K]
4 years ago
9

Peter is reading a 193-page book. He has read three pages more than one-fourth of the number of pages he hasn’t yet read. How ma

ny pages has he not yet read?
Mathematics
2 answers:
viva [34]4 years ago
5 0
N + n/4 + 3 = 193
5n/4 = 190
n = 152
At 8 pages per day it will take 152 pages/ 8 pages/day = 19 days
FinnZ [79.3K]4 years ago
5 0
He has not read 152 pages.

If y is the number of pages he has not read and x is the number of pages he has read, then:

x+y=193
x=1/4y+3 (the number of pages he has read is three pages more than one fourth the number of pages he hasn't read)

Since we have two equations, solving for one variable will allow us to substitute that value into the other equation. Since x is already isolated in the second equation, we will use that, substituting the value of x from the second equation into the first.

(1/4y+3)+y=193
5/4y+3=193
5/4y=190
y=152
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3 years ago
The sum of three consecutive even numbers is 306. Find the three numbers.​
zysi [14]

Answer:

100, 102, 104

Step-by-step explanation:

Hi there!

Let <em>x</em> be equal to the first number in the set of the three consecutive even numbers.

We're given that the sum of three consecutive even numbers is 306.

Because <em>x</em> is the first number, the next would be <em>x</em>+2, and then <em>x</em>+4. These are our even numbers.

We can now set up an equation:

(x)+(x+2)+(x+4)=306

Combine like terms:

x+x+x+2+4=306\\3x+6=306\\3x=300\\x=100

Therefore, the first number in the set of 3 numbers is 100.

The next two even numbers after 100 is 102 and 104.

Therefore, the three numbers are 100, 102 and 104.

I hope this helps!

3 0
3 years ago
7. Tyson obtained a loan from the bank at 7.5% simple interest for 2. 5 years. If the simple interest was
9966 [12]

Answer:

7.He borrowed $1853.33

8.She received $28990.936

Step-by-step explanation:

7.Let x be the amount borrowed by Tyson

Rate of interest = 7.5%

Time = 2.5 years

Simple Interest = 347.50

Formula : Si = \frac{P \times T \times R}{100}

Where SI = simple interest

P = Principal

T = Time

R = Rate of interest

Substitute the values in the formula :

347.50=\frac{x \times 2.5 \times 7.5}{100}\\\frac{347.50 \times 100}{2.5 \times 7.5}=x\\1853.33=x

Hence he borrowed $1853.33

8) Principal = 20000

Rate of interest = 9.5%

No. of compounds per year = 2

Time = 4 years

Formula : A=P(1+\frac{r}{n})z^{nt}

Where A= amount

r = Rate of interest

n = no. of compounds

t = time

Substitute the values in the formula :

So, A=20000(1+\frac{9.5}{200})^{2(4)}

A=28990.936

Hence she received $28990.936

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Step-by-step explanation:

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-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3

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