Justin had $24 to buy a gift card for his cousin Julie and he found a gift for $22 with 5% sales tax is added on will Justin have enough money to buy the gift for Julie and if so how much will he pay
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A recipe calls for 4 tab of baking soda and 1 Oz of vanilla. which measurement is greater ? explain
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Y varies directly as x. if x =5 when y=12. find x when y=30
length of a room is 3 times its breadth and height is 4.6 m.if the total cost of carpeting the floor of a room at the rate of Rs. 60 per square meter is Rs. 4500,Find the total cost of papering the 4 walls at the rate of Rs. 6.
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Answer:
x = 10
y = 70
Step-by-step explanation:
By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80
and 2x + y = 90
By using the substitution method on x + y = 80, it will be y = -x + 80
When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90
Then it will simplify to x = 10
After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70
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Combine like terms... -8k^2+6k^2= -4k^2
-12k+6k=-6k
and leave 4k^3 and -9 alone because you don't have anything to combine it with so the equation is 4k^3 -4k^2 -6k -9
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12.
Explanation:
Let x be the integer she inputs.
"One less than triple the input" would be 3x-1.
She gets 3 as the output; this means 3x-1=3.
To solve this, add 1 to each side:
3x-1+1=3+1
3x=4
Divide both sides by 3:
3x/3 = 4/3
x=4/3 = 1 1/3.
This will not work, however, as it is not an integer.
"One more than half the number" is 1/2x+1. Since she gets 3 as the output, this gives us:
1/2x+1=3
Subtract 1 from each side:
1/2x+1-1=3-1
1/2x=2
Divide both sides by 1/2:
When dividing fractions, flip the second fraction and multiply:
x=2÷(1/2) = 2×(2/1) = (2/1)×(2/1) = 4/1 = 4
While this is an integer, this does not work either, because this expression is for inputs that are even but not divisible by 4. This is divisible by 4, so it is not accurate.
"One-fourth of the input" is 1/4x. The output is 3, which gives us:
1/4x =3
Dividing both sides by 1/4, we have:
When dividing fractions, we flip the second fraction and multiply:
x=3÷(1/4) = 3×(4/1) = (3/1)×(4/1) = 12/1 = 12
This expression is for an input that is divisible by 4. 12 is divisible by 4, so this is accurate.
Final answer:
Given the scenario, no valid integer input would result in an output of $3 from Dorothy's ? button on her calculator. The three conditions specified do not match any integer when the output is $3.
Explanation:
Given that the output of the ? button on Dorothy's calculator is $3, one thing that could have been input and fit one of the conditions is 4, because when an integer is divisible by 4, the calculator outputs its one-fourth. Since 4 is divisible by 4 and one-fourth of 4 equals 1, that's not correct. Now let's check the condition for even numbers not divisible by 4. The calculator outputs 1 more than half the number. So, if we plug in $3 as the output and solve the equation, we get: 3 = 1 + 1/2 (input). Solving for the input, we get 2*2 = 4, which is still wrong. So, finally, we check the condition for odd numbers. Here, the calculator outputs 1 less than triple the input. Substituting $3 as the output, we solve for the input: 3 = 3*(input) - 1. Solving for input, we get input = 4/3, which is not an integer. Therefore, there could not have been an integer input that resulted in a $3 output in this case.
Learn more about Calculator Function here:
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feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
The difference between the elevation of the canyon and the bird's nest is
nothing feet.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)