x + y =125
5x + 8y = 775
Solve the system to answer the questions.
How many premium car washes were ordered?
premium car washes
How many quick car washes were ordered?
quick car washes
Answer:
50 and 75
Step-by-step explanation:
trust me bro
Answer:
50 and 75
Step-by-step explanation:
Hope this helps :)
Answer:
395,040
Step-by-step explanation:
300,000+90,000+5,000+40
=390,000+5,000+40
=395,000+40
=395,040
5 inches
9 inches
10 inches
The length of the side of the original cube in the given scenario is 5 inches.
A cube is a three-dimensional figure with equal sides.
Given that
The length of the edge of a cube = x
Also, one of the sides is increased by 4 inches, and another side is doubled,
so, now the new dimensions are x, x+4, 2x, and the shape is a rectangular prism.
The area of the rectangular prism = 450 sq. inches
base × height × length = 450 sq. inches
x × (x + 4) × 2x = 450
2x³ + 8x² = 450
2x³ + 8x² - 450 = 0
x³ + 4x² - 225 = 0
Substitute x=5 to see that it is a root of the equation,
5³ + 4(5)² - 225 = 125 + 100 - 225 = 0
So, x - 5 is a factor of the equation,
Now,
x³ + 4x² - 225 = (x−5)(x² + 9x + 45) = 0
The roots of the quadratic equation are imaginary as
D = 9² - 4 × 1 × 45 = 81 - 180 = -99
The discriminant is negative, therefore, the roots are not real.
So, the length of the side of the original cube is 5 inches.
Learn more about Cubes here:
#SPJ4
x+y=8
ayuden por favor
How old is he right now?
Answer:
he's 7 years old
Answer:
Step-by-step explanation: Kevin will actually be 6 years and 2 months old
The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,
⇒ x = 8
We have to given that,
An expression to simplify,
⇒ (√7)ˣ = 49ˣ⁻⁶
Now, We can simplify the expression for x as,
⇒ (√7)ˣ = 49ˣ⁻⁶
Since, 49 = 7² = (√7)⁴
Hence,
⇒ (√7)ˣ = (√7)⁴)ˣ⁻⁶
Apply the multiply rule in exponent,
⇒ (√7)ˣ = (√7)⁴ˣ⁻²⁴
By comparing,
⇒ x = 4x - 24
Solve for x,
⇒ x - 4x = - 24
⇒ - 3x = - 24
⇒ 3x = 24
⇒ x = 24 / 3
⇒ x = 8
Therefore, The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,
⇒ x = 8
Learn more about the equation visit:
#SPJ6