Answer:
a represent 1
and number is 11448.
Step-by-step explanation:
We know that a number is divisible by 9 if the sum of its digit is divisible by 9.
Given number aa448
sum of 4+4+8 = 16
number divisible by 9, 18 , 27,36
as we see sum of 448 is 16 , hence sum of a+a+4+4+8 should be number divisible by 9 and greater than 16 which is 18, 27,36
Let see of if sum of digits of aa448 is divisible by 18
a+a+4+4+8 = 18
2a + 16 = 18
2a = 18-16 = 2
a =2/2 = 1
Thus, number will be 11448
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Let see of if sum of digits of aa448 is divisible by 27
a+a+4+4+8 = 27
2a = 27 - 16
2a = 11 = 2
a =11/2 = 5.5
as digit cannot be fraction of decimal, it can take value from 1 to 9 hence
sum of digits of aa448 is not divisible by 27
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Let see of if sum of digits of aa448 is divisible by 36
a+a+4+4+8 = 36
2a + 16 = 36
2a = 36-16 = 20
a =20/2 = 10
as digit can take value from 1 to 9 hence sum of digits of aa448 cannot be divisible by 36 or any higher number than 36 which is divisible by 9.
Thus , a represent 1
and number is 11448.
Answer:
A: 9x-3y =5
Step-by-step explanation:
slope of the line = (8-(-1))/(-1)-(-4) = 3
so y = mx+ c , where m= slope
the equation 9x-3y= 5 has the slope 3 since we can make y the subject of the formula to get
y= 3x - 5/3..here m is also equal to 3
2x+y-3z=12
2x=4z-y
x=2z-y/2
Answer: y = 16.5
Step-by-step explanation:
We would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Considering triangle BCD,
BD² = 14² - 8²
BD² ° 196 - 64 = 132
BD = √132
Considering triangle ABD,
AB² = BD² + y²
AB² = (√132)² + y²
AB² = 132 + y²- - - - - - - - - - 1
Considering triangle ABC,
(8 + y)² = AB² + BC²
(8 + y)² = AB² + 14²
(8 + y)² = AB² + 196
AB² = (8 + y)² - 196- - - - - - - -2
Substituting equation 1 into equation 2, it becomes
132 + y² = (8 + y)² - 196
y² - (8 + y)² = - 196 - 132
y² - (64 + 16y + y²) = - 328
y² - 64 - 16y - y2 = - 328
- 16y = - 328 + 64
- 16y = - 264
y = - 264/- 16
y = 16.5
Sofia can spend at most $20.83 each week.
Step-by-step explanation:
Given,
Amount of given by Sofia's parent = $125
Number of weeks = 6
Let,
x represent the amount that Sofia can spend each week.
As Sofia has $125, therefore, she can spend maximum $125 or less than that.
Dividing both sides by 6
Sofia can spend at most $20.83 each week.
Keywords: inequality, division
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