Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese
6 lbs of Swiss cheese
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a
Let amount of Swiss cheese she can get = b
Hence,
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount
(3 * a) + (5 * b) = $30
$3a + $5b = $30
Answer:
270 miles
Step-by-step explanation:
45x2=90
90x3=270
Answer:
According to logarithmic properties.... The right hand side can be written as
log base 7 (180/3).....which is log base 7 60
So according to the question cancel out the log base 7 from both sides....
Then we get 8r + 20 = 60
That is 8r = 40..
That is r = 5......
Therefore the value of r is 5
Factors of the given expression are 
Given expression is

<h3>What is a factor?</h3>
A factor is a number that divides another number completely.
Let us split the middle term as:

Therefore, factors of the given expression are 
To get more about factors visit:
brainly.com/question/9781037
Answer:
option-B
Step-by-step explanation:
we are given system of inequality as


now, we can check solution
At (0,0):
we can plug x=0 and y=0
and check inequality


so, this is FALSE
now, we can check second inequality


So, this is TRUE
so, option-B