Answer:
Step-by-step explanation:
total money = $2.25 = 225 cents
types of denomination in coins or cents are dimes and nickels
dime = 10 cents , nickel = 5 cents
twice of dimes to nickels
let no of dimes = x and no of nickels = y
our equation
10x + 5y = 225
x = 2y
10(2y) + 5y = 225
20y +5y = 225
25 y = 225
y=9
x =2y 2x9 = 18
so the number of dimes = 18 and nickels = 9
cross verification:
10x18 + 5x9 = 180 +45 = 225
Answer:
Step-by-step explanation:
P(x) = x² - 1 and Q(x) = 5(x - 1)
(P - Q)(x) = x² - 1 - 5(x - 1)
= x² - 1 - 5x + 5
= x² - 5x + 4
Answer:
4.75x + 14.40y ≥ 700
Step-by-step explanation:
Given:
Plant cost = $4.75
Shrub cost = $14.40
Number of plant = 80
Number of shrub = 25
Total cost = $700
Find:
Inequality
Computation:
Number of plant = x
Number of shrub = y
4.75x + 14.40y ≥ 700
Answer:
You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide
Step-by-step explanation:
<u><em>The complete question is</em></u>
Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain
step 1
Find the length side of the cube-shaped case
we know that
The volume of the cube is equal to

where
b is the length side of the cube
we have

substitute

solve for b

step 2
Convert feet to inches

we have


step 3
Compare the dimensions of the table with the dimensions of the cube-shaped case
30 > 10
The length of the table is greater than the length side of the cube
18> 10
The width of the table is greater than the length side of the cube
therefore
You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide
2) 3 is the answer of your questions