Answer:
each board will be 9 inches long
Step-by-step explanation:
if you convert 4 1/2 feet into inches it will be 54 inches then divide it by 6 and you'll get 9
Answer:
About 16 miles
The equation:
.75x+3.95
At 16 miles Katie will have spent $15.95.
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}
Answer: 480 milligrams
Step-by-step explanation:
We can solve this by using direct proportion whereby y = kx
where,
x = patient's weight = 92 pounds
k = constant
y = milligrams of antibiotics = 320
Using y = kx
320 = 92k
k = 320/92
k = 3.4782609
The antibiotic that should be given to a patient who weighs 138 pounds will be:
y = kx
y = 3.4782609 × 138
y = 480 milligrams
The antibiotic that should be given to a patient who weighs 138 pounds is 480 milligrams.
Is equal to 19 u add the 9 plus the ten so u get 19