Answer:
samantha is faster.
Step-by-step explanation:
if samantha runs 3/4 in an hour and naomi runs 2/3 an hour, you can make them equal by multiplying to 12.
9/12 is greater than 8/12.
Answer:
A, y = {x²+ 6 x < 3
{-x + 6 x ≥ 3
Step-by-step explanation:
the parabola (the u shaped graph or the graph that is on top) is expressed by the function x² + 6, as it is 6 units up from the origin (0,0)
the line is expressed by the function -x + 6, as its first reflected across the x axis from the origin (0,0) and is then shifted 6 units up
these functions on this graph represent a piecewise function
looking at x² + 6, we see that it has an open circle on (3, 15). this means that the x coordinate 3 is not included in the solution to the function, and any x values that would be included are less than 3. in an inequality, this is expressed as x < 3
looking at our answer choices, this matches answer A. but let me continue with the explanation in case you run into a question that doesnt have it that easy
when we look at -x + 6, we see that it has a closed circle on (3,4) (approx (3,4), not sure about y-coordinate but its still the same). a closed circle means that the x coordinate 3 is included in the solution, and any numbers <em>greater than 3</em> are included in the solution. as an inequality, this is expressed as x ≥ 3
again we look at our answer choices and see that A is the only choice that supports both of these functions, so A is our answer
Answer:102 children and 337 adults swam at the publice pool that da
Step-by-step explanation:
let the number of children be x
and
the number of adults be y
such that the total number of people who came to use the public swimming pool be expressed as
x + y = 439----- Equation 1
and price for swimming be expressed as
1.75x + 2.50y =1021----- Equation 2
Step 2
x + y = 439----- Equation 1
1.75x + 2.50y =1021----- Equation 2
First make x the subject formulae and put in equation 2
x= 439-y
1.75 (430-y) + 2.50y = 1021
Solving gives
768.25-1.75y+2.50y=1021
2.50y-1.75y=1021-768.25
0.75y=252.75
y =252.75/0.75
y=337
To find x, put the value of y = 337 in equation 1
x+y= 439
x= 439-337
x=102
Therefore 102 children and 337 adults swam at the public pool that day
Answer:
57 miles per hour
Step-by-step explanation:
Speed is equal to distance over time
I changed the fractions to decimals for ease of math
distance = 370 .5 miles
time = 6.5 hours
Speed = 370.5/6.5 = 57 miles/hour
Answer:
sum of angles in atriangle=180°
Step-by-step explanation:
w-45°+w-37°+w+19°=180°(sum of angles in a triangle)
3w=180°+45°+37°-19°
3w=243°
w=81°
