Hey there!!
Prime number - A prime number is any number which only has two factors. The number 1 and the number itself
for 19, 1 is a factor and there are no other factors than the number itself
The two factors are 1 and 19
Hence, 19 is a prime number
Hope my answer helps!
I assume first equation is x-y=1. Solve for x in the first one in terms of y so you get x=y-1 so then you plug it in for x to get y-1+2y=8 then solve for y to get y=3 and then plug it into first equation to get x-3=1 and solve for x
Answer
x=4
y=3
Answer:
infinite number of solutions are possible
Step-by-step explanation:
The formula for the volume of a pyramid is (1/3)(base)(height). Since this pyramid is square, the area of the base is s^2, where s represents the length of one side of the base.
Thus, 144 in^3 = (1/3)(s^2)(h), where h is the height of the pyramid.
Let's solve for the constraints on the side length s and the height h:
Multiplying 144 in^3 = (1/3)(s^2)(h) by 3 to clear out the fractions:
432 in^3 = (s^2)(h)
There are multiple answers tot his question. Let's arbirtrarily state that the height is 10 inches. Then 432 in^3 = 10s^2 in^2, and s^2 = 43.2 (in^2).
With height 10 inches, the side length of the square bottom would be the square root of 43.2 in^2: 6.57 in.
Thus, one of many solutions would be as follows:
side length of square base: 6.57 in
height of pyramid: 10 in
To compute for the Derricks new balance:
New balance= previous balance + interest of previous balance-payment +new transaction
where
previous balance = 3264.75
interest of previous balance = 3264.75x(APR/12)=35.91225
APR=13.2%/12, 1.1%
payment= 180
new transaction= 134
new balance = 3254.66225
Derricks new balance in his account is 3254.66225.
<em><u>Question:</u></em>
A jeweler is dividing 3/8 of a pound of rubies among 4 lots. What part of a pound will each lot weigh? A.1/4 B.1/8 C.1/16 D.3/32
<em><u>Answer:</u></em>
Option D
Each lot weight part of pound
<em><u>Solution:</u></em>
Given that,
A jeweler is dividing 3/8 of a pound of rubies among 4 lots
To find: part of a pound each lot weigh
From given,
Let "x" be the part of a pound each lot weigh
Therefore,
This forms a proportion and solve by cross multiplying
Thus, each lot weight part of pound