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Lemur [1.5K]
3 years ago
12

What is the simplest form for the expression (-12.7y-3.1x) Plus 5.9y-(4.2y Plus x)

Mathematics
2 answers:
Elodia [21]3 years ago
4 0

Answer:

\boxed{-4.1x-11y}

Step-by-step explanation:

(-12.7y-3.1x) + 5.9y-(4.2y + x)

Expand brackets.

-12.7y-3.1x+ 5.9y-4.2y - x

Combining like terms.

- x-3.1x-12.7y+ 5.9y-4.2y

-4.1x-11y

irina1246 [14]3 years ago
3 0

Answer:

\boxed{\red{ - 11y - 4.1x}}

Step-by-step explanation:

(- 12.7y - 3.1x) + 5.9y - (4.2y + x) \\  - 12.7y - 3.1x + 5.9y - 4.2y - x \\  - 12.7y + 5.9y  - 4.2y- 3.1x - x \\  =  - 11y - 4.1x

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zzz [600]

Answer:

62

Step-by-step explanation:

1. Divide the shape into 3 individual shapes.

2. To get the area you must multiply the width and the length.

3. Let's gather the width and the length of each shape.

Shape 1: 7 and 8

Shape 2: 2 and 3

Shape 3: 2 and 3

4. For Shape 1: 7 times 8 is 56.

5. Shape 2 and Shape 3 are equal to each other.

6. For Shape 2 + Shape 3: 2 times 3 is 6

7. Now you must add the area of all the shapes together.

Area of Shape 1: 56

Area of Shape 2: 3

Area of Shape 3: 3

8. 56 + 3 + 3 = 62

This means the area of the shape is 62.

3 0
3 years ago
Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every nex
lakkis [162]
The weight of the hamburger is 160g after two bites.

Each bite takes away 20% of the weight of the burger, so we'll divide the initial weight by a percentage to find the weight before the bite.

The starting weight is 160g. Because 20% of the weight was removed from a bite, we'll divide this weight by the percentage of the burger remaining after the bite:

100 - 20 = 80

80% of the burger is left after a bite. Convert this fraction into a decimal by dividing by 100:

80 \div 100 = 0.8

Divide the initial weight by this decimal:

160 \div 0.8 = 200

The weight of the burger before the second bite was 200.

We'll do the same procedure for the first bite. The initial weight is 200, and there is 80% of the burger remaining after the first bite. Because 80% is 0.8 in decimal form, divide 200 by 0.8:

200 \div 0.8 = 250

The starting weight of the burger before the bites was 250 grams.
6 0
3 years ago
I’m confused on this one
Dmitriy789 [7]

It just happens that tan 14 degrees is about 0.25 or 1/4. According to my calculator, it's actaull 0.249.


Now try finding tan 76 degrees to approx. the same level of accuracy.


tan 76 deg = (via calculator) 4.0108. this could be re-written as 4 or 4.1.

7 0
3 years ago
A circular region has a population of about 15,500 people and a population density of about 775 people per square kilometer. Fin
Reil [10]

Answer:

2.5 km

Step-by-step explanation:

First, find the area of the region:

  • A circular region has a population of about 15,500 people;
  • A population density of about 775 people per square kilometer.

So, there are 15,500 :775=20 square kilometers.

Now, let x kilometers be the radius of the circular region, then

A_{\text{circilar region}}=\pi r^2\\ \\20=\pi r^2\\ \\r^2=\dfrac{20}{\pi}\approx 6.366198\\ \\r=\sqrt{3.366198}\approx 2.523

To the nearest tenth this is 2.5 km.

6 0
3 years ago
Write the point-slope form of each graph. Use the red point to write your equation. State the point and slope.
Vinil7 [7]
Answer:

First Graph:

Slope = - 4/5

Point-Slope Form: y - 3 = - 4/5 (x + 2)

Point: (-2, 3)

Second graph:

Slope = 4

Point-Slope Form: y + 6 = 4 (x + 1)

Point: (-1, -6)

Step-by-step explanation:

First graph has two points: (-2, 3) & (8, -5)

Use the two points to find the slope using the Slope-Formula

Slope-Formula: y2 - y1/x2 - x1

m = slope

m = - 5 - 3/8 - - 2

m = - 8/10

m = - 4/5

The slope of the line will be - 4/5

Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph

Two points: (-2, 3) & (8, -5)

Slope: - 4/5

Point-Slope Formula: y - y1 = m (x - x1)

Point-Slope Form: y - 3 = - 4/5 (x + 2)

The point will be: (-2, 3)



5 0
3 years ago
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