Answer:
The baker baked 375 loaves of bread that day.
Step-by-step explanation:
Let the baker baked a total of x loaves of bread.
240 loaves were sold by the end of the day.
The baker was then left with 9/25 of the number of loaves that were baked.
We get the equation:
Solving for x;
=>
=>
=>
=>
x = 375
Therefore, the baker baked 375 loaves of bread that day.
13, point, 5, start text, space, m, end text, squared of material to build the cube.
What is the volume inside the giant sugar cube?
Give an exact answer (do not round).
The volume inside the giant sugar cube is of 3.375m³.
To solve this question, we first find the side of the cube, given it's surface area, and with the side, we find the volume.
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Finding the side:
Considering it took 13.5 m² of material to build the cube, we have that it's surface area is of 13.5m².
The surface area of a cube of side s is:
In this question:
-----------------------------------
Volume:
The volume of a cube of side s is:
In this question, , so:
The volume inside the giant sugar cube is of 3.375m³.
A similar question is found at brainly.com/question/11862932
Answer:
it is 3.375
Step-by-step explanation:
Answer:
(x − 4)² + (y − 3)² = 25
Step-by-step explanation:
The equation of a circle is:
(x − h)² + (y − k)² = r²
Given three points on the circle, we can write three equations:
(1 − h)² + (7 − k)² = r²
(8 − h)² + (6 − k)² = r²
(7 − h)² + (-1 − k)² = r²
Expanding:
1 − 2h + h² + 49 − 14k + k² = r²
64 − 16h + h² + 36 − 12k + k² = r²
49 − 14h + h² + 1 + 2k + k² = r²
Simplifying:
50 − 2h + h² − 14k + k² = r²
100 − 16h + h² − 12k + k² = r²
50 − 14h + h² + 2k + k² = r²
Subtracting the first equation from the second and third equations:
50 − 14h + 2k = 0
-12h + 16k = 0
Solving the system of equations, first reduce:
25 − 7h + k = 0
-3h + 4k = 0
Solve with substitution or elimination. Using substitution, solve for k in the first equation and substitute into the second.
k = 7h − 25
-3h + 4(7h − 25) = 0
-3h + 28h − 100 = 0
25h = 100
h = 4
k = 7h −25
k = 7(4) − 25
k = 3
Now plug these into any of the original three equations to find r.
(1 − h)² + (7 − k)² = r²
(1 − 4)² + (7 − 3)² = r²
9 + 16 = r²
25 = r²
The equation of the circle is:
(x − 4)² + (y − 3)² = 25
Graph: desmos.com/calculator/ctoljeqhnp
Table:
If Taxable Income Is Over -- But Not Over
The Tax Is:
10 percent of the amount over $0
$782.50 plus 15 percent of the amount over 7,825
$4,386.25 plus 25 percent of the amount over 31,850
$15,698.75 plus 28 percent of the amount over 77,100
$39,148.75 plus 33 percent of the amount over 160,850
$101,469.25 plus 35 percent of the amount over 349,700
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