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2 years ago

Solve: 12.5 z – 6.4 = –8 z + 3(1.5 z – 0.5)

Mathematics

1 answer:

dolphi86 [110]2 years ago

6 0

Answer:

Step-by-step explanation:

12.5z - 6.4 =-8z + 3(1.5z - 0.5)

12.5z - 6.4 = - 8z + 4.5z - 1.5

12.5z - 6.4 = - 3.5z - 1.5

Bringing like terms on one side

12.5z + 3.5z = - 1.5 + 6.4

16z = 4.9

z = 4.9/16

You might be interested in

Find the slope of the line passing through the points (1, -5) and (4, 1).

wlad13 [49]

The slope of line passing through the points (1, -5) and (4, 1) is 24

Step-by-step explanation:

Slope is the steepness of a line passing through given points

Given points are:

(x1,y1) = (1, -5)

(x2,y2) = (4,1)

The slope is denoted by m. The formula for slope is:

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-5)}{4-1}\\=\frac{6}{3}\\=2$

The slope of line passing through the points (1, -5) and (4, 1) is 2

Keywords: Slope, Calculation of slope

Learn more about slope at:

#LearnwithBrainly

7 0

2 years ago

In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while

I am Lyosha [343]

Answer:

See Below.

Step-by-step explanation:

We are given that:

$\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE$

By vertical angles:

$\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB$

Hence, by substitution:

$\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB$

Then by Angle-Angle Similarity:

$\Delta ABC \sim \Delta GEF$

8 0

2 years ago

A box contains 9 pounds of sand the entire box of sand will be poured in equal amounts into 6 small bags how many bags of sand w

spayn [35]

Answer: 1 1/2

Step-by-step explanation: So you have 9 pounds and you have to distribute it out between 6 bags, so 9 divided by 6 you get 1 1/2 and so 1 1/2 pounds of sand go into each small bag

5 0

2 years ago

Scale on map is Lin 86 mi if actual distance is 35 mi . Between two cities how far apart on the map are they

Mrac [35]

Answer:

0.41 cm

Step-by-step explanation:

The scale on the map is 1 in 86 mi.

This means that, 1 cm on the map represents 86 miles in real life, or on earth.

Then we're told that in real life, a distance is 35 miles, and how far they are on the map.

If 1 cm equals 86 miles, then we can say that x cm equals 35 miles

1 cm ----> 86

x cm ----> 35

x * 86 = 35 * 1

x = 35 / 86

x = 0.41 cm

Therefore, they must be 0.41 cm farther or closer apart on the map scale.

5 0

2 years ago

A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and

GrogVix [38]

Answer:

$x=6+3\sqrt{2}$ is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = $12 -2x$ , height of the box = x

Volume of square box = Area * height = $(12-2x)^2 * x$

Differentiating the above equation and equating it to zero, we get –

d/dx $((12-2x)^2 * x)$

d/dx ${(144 + 4x^2 -48x)*x}$ = d/dx $(144x + 4x^3 -48x^2)$

d/dx $(144x + 4x^3 -48x^2) = 0$

$144+8x^2-96X= 0\\18 +X^2-12X = 0$

On solving above equation, we get –

$x=6+3\sqrt{2} \\ x=6-3\sqrt{2}$

5 0

2 years ago