All categories

2 years ago

Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?

Mathematics

1 answer:

Varvara68 [4.7K]2 years ago

7 0

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

You might be interested in

Find the sum of this arithmetic series.<br> | 26 + 24.5 + 23 + 21.5 + ... - 17.5

emmainna [20.7K]

Answer:

127.5

Step-by-step explanation:

The given series is 26 + 24.5 + 23 + 21.5 + ... - 17.5

The first term of this series is a=26

The common difference is d=24.5-26=-1.5

The last term of the series is -17.5

The nth term is given by:

$u_n=a+d(n-1)$

$26+-1.5(n-1)=-17.5$

$-1.5n=-17.5-26-1.5$

$-1.5n=-45$

n=30

The sum of the series:

$S_{n}=\frac{n}{2}(a+l)$

$S_{30}=\frac{30}{2}(26+-17.5)$

$S_{30}=127.5$

8 0

2 years ago

For every 1/4 mi Pascal walks Lucien runs 2/3 mi. How many miles does Pascal walk for every 1 mi Lucien runs? Write your answers

attashe74 [19]

Answer:

Step-by-step explanation: The answer is 0.5

7 0

3 years ago

Determine the y intercept (b) of the line 4x+2y+24=0

Rzqust [24]

Answer:

$4x + 2y + 24 = 0 \\ 2y = - 4x - 24 \\ y = - 2x - 12 \\ { \boxed{y - intercept = - 12}}$

3 0

2 years ago

The center of rotation is point P. Which describes the rotation of ΔABC to form ΔA'B'C'?

MrRissso [65]

It's easy what do you think

7 0

2 years ago

Find the area of a circle with a diameter of 6. Either enter an exact answer in terms of pi or use 3.14 for pi

ankoles [38]

So it gives you the diameter but you need the radius of the circle to find the area so to find the radius you just divide the diameter by two. the formula for the area of a circle is A=pi*r^2 so you just multiply 3.14 by 3 squared so you just put it in the calculator as A=3.14*3^2 and you get 28.26 hope this helped

4 0

2 years ago