We could use the proportion
7/12=?/60
Then do 60×7=420
Then 420/12= 35
It takes Kiara 35 minutes to get ready for school
Divide the total by 3 to get the middle value:
294 /3 = 98
Now the 3 numbers are consecutive, so use the numbers on each side of 98:
Smallest = 97
middle = 98
Largest = 99
5x + 4y ≤ 20
5x - 5x + 4y ≤ 20 - 5x
<u>4y</u> ≤ <u>20 - 5x</u>
4 4
y ≤ 5 - 1.25x
Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
_________________
-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
__________________________________________________________
2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
______________
18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
__________________________________________________________
1.
{4x − y = −38
{x + y = 3
_____________
5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
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Answer:
20 degrees
Step-by-step explanation: