Answer:
33.5
Step-by-step explanation:
4x+5+41=180
4x+46=180
4x=180-46
4x=134
4x=33.5
Number of cards they have 160 in the end.
Step-by-step explanation:
Given,
The ratio of cards David and Sam has = 4:5
Again,
David collected an additional 50% of cards.
Sam doubled his number of cards.
Sam now has 40 more cards than David
To find total number of cards they have.
Let,
David has 4x cards
Sam has 5x cards
Again,
Number of cards David has = 4x ×
= 6x
Number of cards Sam has = 5x×2 = 10x
According to the problem,
10x = 6x+40
or, 10x-6x = 40
or, 4x = 40
or, x = 10
Altogether they have = 6x+10x = 16x
= 16×10 = 160
Hence,
Number of cards they have 160 in the end.
Answer:
k= -8
Explaining:
Move variable to the left-hand side and change its sign.
2.25k - 6.5k - 20= 6.5k - 6.5k + 14
Since two opposites add up to zero, remove them from the expression.
2.25k - 6.5k - 20= 14
Collect like terms!
-4.25k = 14 + 20
Add the numbers
-4.25k = 35
Divide both sides of the equation by -4.25
So you will get the answer: k= -8
No , there’s no relation because the outputs repeated the same number (3)
Given the isosceles right triangle in which each of its legs has a measure of 4:
Let c = hypotenuse
a = one of the legs of the triangle
b = the other leg of the triangle
Use the Pythagorean Theorem to solve for the measure of the hypotenuse:
c^ 2 = a^2 + b^2
c^ 2 = (4)^2 + (4)^2
c^ 2 = 16 + 16
c^2 = 32
Next, take the square root of each side of the equation to solve for c:
√(c^2) = √(32)
c = 4√(2)
Therefore, the correct answer is Option 3) 4√(2).
