Cookies = 24
drinks = 8
Apply ratios
Cookies / drinks = 24/8 = 3
drinks /cookies = 8/24 = 1/3
5.
There are 3 times as many cookies as drinks
There are 1/3 times as many drinks as cookies
6.
drinks = 8
pizzas = 2
Drinks/pizzas = 8/2 = 4
Pizzas / drinks = 2/8 = 1/4
There are 4 times as many drinks as pizzas.
There are 1/4 times as many pizzas as drinks.
7.
Cookies = 24
pizzas = 2
Cookies /pizzas = 24/2 = 12
Pizzas / cookies = 2/24 = 1/12
There are 12 times as many cookies as pizzas.
There are 1/12 times as many pizzas as cookies.
Answer:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em>
<em> is an integer.</em>
<em></em>
Step-by-step explanation:
Given two positive integers
and
.
To check whether
is an integer:
Condition (1):
Every factor of
is also a factor of
.

Let us consider an example:

which is an integer.
Actually, in this situation
is a factor of
.
Condition 2:
Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.
(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)
Let


which is not an integer.
So, the answer is:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em>
<em> is an integer.</em>
<em></em>
Last one is correct
good luckkkkkkk
Because you didn't give the line, it is impossible to write it completely. However, the line would be y - 1 = m(x + 3), in which m is the slope in the line.
We know this firstly because parallel lines have the same slope. So whatever the slope is to the given line, it must match the point-slope form.
So, we'll call this mystery slope m and then use the point in plug in the point into point-slope form.
y - y1 = m(x - x1)
y - 1 = m(x - -3)
y - 1 = m(x + 3)
Let x be Kelly's regular pay
Her pay for the day can be modelled by the equation 8x + 4(x + 10) = 160
Solve for x
8x + 4x + 40 = 160
8x + 4x = 160 - 40
12x = 120
x = 10
Kelly's regular pay per hour is $10