I think it’s the last one
Answer:
1.15p + 285 = 5.84
Step-by-step explanation:
This problem has two equations. Total cost and Total pounds. The cost and the pounds
p = apple pounds
b = banana pounds
<u>Cost</u>
1.90p + .75b = 5.84
<u>Pounds</u>
p + b = 3.8
<u>Now we use the substitute method for system of equations to solve</u>
p + b = 3.8
b = -p + 3.8
<u>Now that we know what b equals, substitute is for b in the cost equation.</u>
1.90p + .75b = 5.84
1.90p + .75(-p+3.8) = 5.84
<u>distribute / multiply .75 by (-p+3.8)</u>
1.90p + -.75p + 2.85 = 5.84
<u>Combine the p values</u>
1.15p + 285 = 5.84
Answer:
B) (35, 260)
Step-by-step explanation:
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?
A) (35, 240)
B) (35, 260)
C) (260, 35)
D) (240, 35)
Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.
Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²
For a 35 pound dog (i.e w = 35 pound). The dosage is given as:
d ≥ 1∕5(35)² ≥ 245 milligrams.
For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).
The dog weight is the independent variable and the dosage is the dependent variable.
From the ordered pairs, the best option is (35, 260) because 260 ≥ 240
So in order to compare, the measurements have to same units. So lets convert everything to feet.
George 2 yds = 6 ft Kelsey 68 inches = 5 ft 8"
Mariah 5 feet Brian 5 ft 10 "
George measured the tallest at 6'
Hope this helped.
Answer:
The option B is correct, i.e. 6 mph.
Step-by-step explanation:
Suppose Samantha swim in still water at speed of X mph.
If the river flows at 4 mph,
Then Upstream speed = (X-4) mph.
And Downstream speed = (X+4) mph.
Samantha swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 12 minutes.
It means <u>Distance upstream = Distance downstream</u>.
Speed upstream x Time upstream = Speed downstream x Time downstream.
(x-4) * 1 = (x+4) * 12/60
x - 4 = 0.2x + 0.8
x - 0.2x = 0.8 + 4
0.8x = 4.8
x = 4.8/0.8 = 6 mph.
Hence, the option B is correct, i.e. 6 mph.