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3 years ago

Peter is reading a 193-page book. he has read three pages more than one fourth of the number of pages he ahsn't read yet.

1 answer:

6 0

Let the number he hasn't read yet be X
pages he has read = 3 + ¼x
so 3+¼x +x = 193
5/4x = 193-3 = 190
5x = 190×4 = 760
x= 760÷5 = 152

a. number of pages he hasn't read yet is 152
b if he reads 8 pages in 1 day
then he'll read 152 pages in 152/8 days = 19days

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Solve for x: -6(x + 4) + 9 > -5(x + 6)

devlian [24]

Answer:

x < 15

Step-by-step explanation:

Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".

On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:

-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24

On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:

-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30

Now put these back in:

-6(x + 4) + 9 > -5(x + 6)

-6x - 24 + 9 > -5x - 30

-6x - 15 > -5x - 30

x < 15

Thus the answer is x < 15.

Hope this helps!

3 0

2 years ago

Chaney deposits $1435.73 into a savings account that pays a simple annual interest rate of 1.32%. How much interest will she ear

Aneli [31]

Answer:

Interest Chaney earns after 3 years is $56.85

Step-by-step explanation:

Given:

Amount deposited = $1435.73

Simple annual interest rate = 1.32% = 1.32/ 100 = 0.0132

To find: Interest after 3 years

We know that the formula to calculate the interest amount is

Simple interest (S.I.) = $\frac{Prt}{100}$

where,

P is the initial amount deposited

r is the rate of simple interest in percentage

t is the time in years for which interest is to be calculated

Substituting the known values in the formula, we get

S.I = $\frac{1435.73 x 1.32 x 3}{100}$

= 56.85

Hence the interest Chaney earns after 3 years is $56.85

8 0

2 years ago

Solve the equation.<br><br>-4 (y - 2) = 12<br><br>y = ?

inna [77]

First you distribute what’s outside the parentheses (the -4)

-4•4= -4y
-4•-2= 8

New equation: -4y+8=12

Now you solve like a normal equation
12-8 is 4

New equation: -4y=4

Now divide

Answer:-1

8 0

2 years ago

X-2y=18 2x+y=6 parallel perpendicular or neither

sergey [27]

<h3>Therefore they are perpendicular.</h3>

Step-by-step explanation:

A equation of line is

y =mx +c

Here the slope of the line is m.

Given equations are

x - 2y = 18

⇔-2y = -x +18