Answer:
See answers below
Step-by-step explanation:
Given the following ratios. We are to express them in their simplest forms
15:12
= 15/12
= (3*5)/(3*4)
= 3/3 * 5/4
= 5/4
b) 42:1
= 42/1
= 42
Given that 2:x :: 4:6
2/x = 4/6
Cross multiply
4x = 2*6
4x = 12
x = 12/4
x = 3
Hence the value of x is 3
Answer:
Option (A)
Step-by-step explanation:
By satisfying the equation of a function 'f' by each coordinates given in the options we can get the point which lies on the graph of f(x) = 
Option (A). (1, 10)
f(1) = 
10 = 10
True.
Therefore, point (1, 10) lies on the graph.
Option (B). (0, 10)
f(0) = 
10 = 2
Not true.
Therefore, point (0, 10) doesn't lie on the graph.
Option (C). (10, 1)
f(10) = 
1 = 19531250
Not true.
Therefore, point (10, 1) doesn't lie on the graph.
Option (D). (0, 0)
f(0) =
0 = 2
Not True.
Point (0, 0) doesn't lie on the graph.
Option (A) will be the answer.
Answer:
Step-by-step explanation:
Let 
.
and
The graph of the two equations are shown in the attachment.
The points where the two graphs intersected are: 
The x-coordinates of the intersection points are the solutions to 
.
Therefore the solutions are:
Answer:
Paul has negative worth of $2,900
His statement is invalid as he did not consider all assets and debts in aggregate.
Step-by-step explanation:
The net worth of Paul is the total asset owned by him less the total of debts owed by him.
Paul's total assets can computed thus:
Stock portfolio $21,000
Home worth $365,000
Car worth $19,000
Total assets $405,000
Paul's total debts can be computed as follows:
Mortgage loan $362,000
Car loan $16,250
credit card debt $11,750
Student loan $17,900
Total debts $407,900
The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.
Answer:
48+12b≥185
Step-by-step explanation:
Inequality: 48+12b≥185
Why? she has already backed 48 cookies so you just need to find how many more she needs to bake. (she doesn't need 185 cookies anymore since she's already baked 48)
You don' t need to solve the question,
But here is how you do...
12b≥137
b≥11.42 (roughly)
