MATHEMATICS MIDDLE SCHOOL

When 4((0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4)) is simplified, what is the resulting expression?

Answers

Answer 1

Answer:

Answer:

$-0.8x + 4.8y + 16$

Step-by-step explanation:

We have to simplify the given expression:

$4(0.5x + 2.5y-0.7x-1.3y+4)$

First we group all the like terms of x.

$4((0.5x-0.7x) + 2.5y-1.3y+4))\n=4(-0.2x+ 2.5y-1.3y+4)$

Next we group all the like terms of y.

$4(-0.2x+ (2.5y-1.3y)+4)\n=4(-0.2x+1.2y+4)$

Now, we use distributive property for the multiplication,

$4(-0.2x+1.2y+4)\n=(4* -0.2x) + (4* 1.2y) + (4* 4)\n=-0.8x + 4.8y + 16$

is the required simplified expression.

Answer 2

Answer:

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

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It is 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via Barton and Chester is 35 miles. How far is it from Chester to Durbin?

Answers

see the picture attached to better understand the problem

Let
x----------> The distance from Chester to Durbin

we know that
$10 (3)/(5) = ((10*5+3))/(5) \n \n = (53)/(5) miles$

$12 (1)/(2) = ((12*2+1))/(2) \n \n = (25)/(2) miles$

$10 (3)/(5) +12 (1)/(2) +x=35$
subtitute

$(53)/(5) + (25)/(2) +x=35$

solve for x

$x=35-( (53)/(5)+ (25)/(2) ) \n \n x=35- ((2*53+5*25))/(10) \n \n x=35- (231)/(10) \n \n x=35-23.10 \n \n x=11.9$

$x=11 (9)/(10)$ miles

the answer is
$11 (9)/(10)$ miles

Answer:

Durbin is $11(9)/(10)\:miles$ far from Chester.

Step-by-step explanation:

Distance Between Alston and Barton = $10(3)/(5)\:miles$

Distance Between Barton and Chester = $12(1)/(2)\:miles$

Distance Between Alston and Durbin = $35\:miles$

Distance between Chester and Durbin = $35-10(3)/(5)-12(1)/(2)$

= $35-(53)/(5)-(25)/(2)$

= $(350-106-125)/(10)$

= $(119)/(10)$

= $11(9)/(10)\:miles$

Therefore, Durbin is $11(9)/(10)\:miles$ far from Chester.

Find the area. Will mark brainliest.

Answers

Answer:

54 in^2

Step-by-step explanation:

9*12/2=54 in^2

Answer:

Step-by-step explanation:

The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.

hope this helps:)

X^3-4x^2+x+6=0 solve it

Answers

Answer:x=1,-2,and - 3

Step-by-step explanation:

What is the measure of o

Answers

Answer:

Step-by-step explanation:

We need the formula for arc length (in radians) to solve this problem. The formula is:

$s=r \theta$

Where

s is the arc length

r is the radius of the circle

$\theta$ is the intercepted angle

In this diagram, we can see that $\theta$ is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20

Also, if we look, we see that the radius is 5 cm, so r = 5

Now, we substitute into formula and find $\theta$ :

$s=r\theta\n20=5\theta\n\theta=(20)/(5)\n\theta=4$

This is given in radians, so $\theta$ is 4 radians

D is the correct answer choice.

Y=log x
If y=10, then what is x?

Answers

The answer is 10 to the power of 10. Its becase first 10 simplify with the base of the logarithm (gives 1) and then we have 1 multiply times 10.
If those answers are any what u can choose, maybe Y should rewrite the question.

Is 6,500 ten times as much as 65 explanation and how to get the answer

Answers

No, 6,500 is one hundred times as much as 65, because of the two zeros on the end. 100 and 6,500.

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