The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.
A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.
The dimensions of the original photo is 6 x 6.
So 72 pencils and 24 calculators
so greates number of identical calculators
this means
what is the biggest number that we can divide 72 and 24 by and get a whole number
this is called the GCM or greatest common multipule
to find the GCM, you factor 72 and group the like ones
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
so the common group is 2 times 2 times 2 times 3 or 24
so the greates number of packs is 24
so pencils
72 divided by 24=72/24=3
3 pencils per pack
24 divided by 24=24/24=1
1 calulator per pack
answer is 3 pencils and 1 calculator per pack
Answer:
58 times 0.17 which agrees with answer C in the given list of possible answers.
Step-by-step explanation:
Notice that 17% in math terms is 17/100 = 0.17
Now to find the 17% of the number 58, we need to multiply 58 by 17/100, which gives:
58 times 0.17
You find 7% of $45.79 and then add that on to $45.79
7% of $45.79 = $3.21
45.79 + 3.21 = 49
The new price is $49
Assuming you mean y=10x+150 and y=20x+115, you need to use a simultaneous equation, because you have two equations with two unknowns (x and y)
rearrange so
10x-y=-150
20x-y=-115
multiply the top by -1, so that if we add the two lines together, the y will cancel out
-10x+y=150
20x-y=-115
add the two lines together
10x=35
x=3.5
so the time is 3 and a half weeks
then we can sub in x to find y
20x-y=-115
20(3.5)-y=-115
70-y=-115
-y=-185
y=185
so 185 tickets were sold !
you can sub these values into your original equations to check your answer :)