All categories

3 years ago

Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?

Mathematics

2 answers:

Anna007 [38]3 years ago

7 0

Answer:

No values of x make the equation true.

timofeeve [1]3 years ago

4 0

Answer:

No value of x makes the equation true.

Step-by-step explanation:

Here are the choices which are missing in the question:

a) Amaya made a mistake because 4 is not equal to 5

b) No value of x make the equation true.

c) All value of x make the equation true.

d) The solution is x= 4 or 5

Given equation is $8x+4=9+4(2x-1)$

Now, solving the equation:

$8x+4=9+4(2x-1)$

distributing 4 with both 2x and -1

⇒ $8x+4= 9+8x-4$

⇒ $8x+4= 5+8x$

Subtracting both side by 8x

∴ 4=5

The result indicate that equation has the same result and x has no value.

You might be interested in

How many gallons of a 80% antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antif

konstantin123 [22]

440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze

Solution:

Let "x" be the gallons of 80 % antifreeze added

Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze

Final mixture is x + 80

Therefore, we can frame a equation as:

"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze

Thus, we get,

x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %

$x \times \frac{80}{100} + 80 \times \frac{15}{100} = (x+80) \times \frac{70}{100}\\\\0.8x + 80 \times 0.15 = (x+80) \times 0.7\\\\0.8x+12 = 0.7x+56\\\\0.8x-0.7x=56-12\\\\0.1x = 44\\\\x = \frac{44}{0.1}\\\\x = 440$

Thus 440 gallons of 80 % antifreeze solution must be mixed

4 0

2 years ago

I need help with this last question.

blondinia [14]

Answer:

Step-by-step explanation:

length=1 m

base of triangle=10 m

height=5m

volume= 1/2×10×5×1=25 m cube.

slant height l=√(5²+5²)=√50=5√2

slant surface area=2[5√2×1]=10√2

area of front and back=2×1/2(10×5)=50

total surface area=50+10√2≈50+14.14≈64.14 m²

8 0

3 years ago

Od 2 ( 2 7 1-3 1 3 1-2 6:1-6 b = d = IDONE

Lena [83]

Answer:

$a = \boxed{1},\: b=\boxed{0}\\\\c=\boxed{0},\: d=\boxed{1}$

Step-by-step explanation:

$\begin{bmatrix} 2 & 7\\\\1 & 3\end{bmatrix}\:\begin{bmatrix} -3 & 7\\\\1 & -2\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

Multiply both the matrices on left side, we find:

$\begin{bmatrix} 2(-3)+7(1) & 2(7)+7(-2)\\\\1(-3)+3(1) & 1(7)+3(-2)\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

$\rightarrow\begin{bmatrix} -6+7 & 14-14\\\\-3+3 & 7-6\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

$\rightarrow\begin{bmatrix} 1 & 0\\\\0 & 1\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

Comparing the corresponding elements of both the matrices on both sides, we find:

$a = \boxed{1},\: b=\boxed{0},\:c=\boxed{0},\: d=\boxed{1}$

7 0

2 years ago

Somebody plz help me

nata0808 [166]

Answer:

I am sorry thats a lot to type out.

Step-by-step explanation:

I will say that to know if its rational, you have to see if the integer can be written in a fraction (like 0.333, 89/10, -4, 0)

8 0

2 years ago

Read 2 more answers

Please help asap !!!

Firlakuza [10]

I believe that the answer is B. y=-7x+41

7 0

2 years ago