All categories

2 years ago

Consider this equation. 7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8) Mia solved the equation and determined that m=2. Is she correct?

Mathematics

1 answer:

IgorC [24]2 years ago

8 0

Answer:

B) She is incorrect because when substituting 2 for m the result was a false statement.

Step-by-step explanation:

Let's solve it for ourselves and see if Mia is correct:

7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8)

7.8+1.5m+0.8=-6.4m+2m-3.2

1.5m+8.6=-4.4m-3.2

8.6=-5.9m-3.2

11.8=-5.9m

-2=m

m=-2

Since the answer is actually m=-2, Mia's guess is incorrect because plugging in m=2 does not make both sides equal. Therefore B is the correct option.

You might be interested in

Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

2 years ago

Please help me because I’m dying literally dying

nevsk [136]

perimeter or rectangle= 2l+2w

Surface area of a cylinder=2(pi)r^2+2(pi)r

Volume of a triangular prism=Bh

Area of a circle=(pi)r^2

6 0

3 years ago

Read 2 more answers

valkas [14]

Answer: $\boxed{y=\frac{4}{5}x-2}$

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.

Substituting into point-slope form,

$y-6=\frac{4}{5}(x-10)\\\\y-6=\frac{4}{5}x-8\\\\\boxed{y=\frac{4}{5}x-2}$

4 0

2 years ago

How to determine relationship between two variables with standard deviation?

luda_lava [24]

Standard deviation is the average distance between two points on the graph. If the standard deviation (sd) is high, then the variables relationship is more spread out and unlike one another. The smaller the sd, the closer and less varied the variables are.

6 0

3 years ago

Please Help FAST! SOLVE EACH! Can I get step by steps also so I can understand thx I’ll mark brainlist also!!!

professor190 [17]

X-6y=6 slope: 1/6 y-intercept (0,1)

X= 0,6 y= -1, 0
X+3y+12=0 slope: 1/3
Y-intercept (0,4) x= -12, 0 Y= 0,4
8a-9b= 9/8 slope (0 ,7/8) x= -1,1 Y= -1/4,2
3a+b=7 1/3 (0,7/3) x= 4,7 Y=1,0

7 0

3 years ago