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olya-2409 [2.1K]
4 years ago
9

What is the solution to the equation -0.2(x - 20) = 44 - x? x = -90 x = 50 x = -50 x = 90

Mathematics
1 answer:
Arturiano [62]4 years ago
6 0

Answer:

x= 50

Step-by-step explanation:

First, simplify the equation

Expand the terms on the left hand side to make it easier to rearrange

   -0.2(x-20) =44-x

   -0.2x+4 =44-x

Rearrange the equation by moving the numbers to one side and the variables to the other

   -0.2x +x= 44-4

    0.8x = 40

Isolate for x

    x= 40/0.8

    x= 50

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4. Given point A (3, 8) and point B (-5, 1). Find the following:
Anni [7]

Answer:

a) (-1,4.5)

b)10.63 units

c)7/8

Step-by-step explanation:

a) To find this, we use the midpoint formula

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,8)

(x2,y2) = (-5,1)

(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)

b) To calculate the distance D between two points, we use the formula;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-3)^2 + (1-8)^2

D = √(-8)^2 + (-7)^2

D = √64 + 49

D = √113

D = 10.63 units

C) We use the slope formula here

m = (y2-y1)/(x2-x1)

m = (1-8)/(-5-3) = -7/-8 = 7/8

6 0
3 years ago
What is the algerbraic expression for the following word phrase: the product of 5 more than p and 7?
konstantin123 [22]

Answer:

Step-by-step explanation:

7(p+5)

5 0
3 years ago
Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1
Rudiy27

Answer:

Step-by-step explanation:

1. Erosion patterns

(a) Western Beach

In 15 yr, Western Beach erodes from 100 ft to 70 ft.

The rate of erosion is 30 ft/15 yr = 2 ft/yr.

(b) Dunes Beach

In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.

The rate of buildup is 75 ft/15 yr = 5 ft/yr.

Beaches with equal width

The western beach loses 2 feet each year, every 5 years the beach loses 10 feet. Dunes beach gets 5 feet every year, and every 5 years the beach loses 25 feet.

2.From the table, it appears that the beaches will have the same width sometime in year 11 (2006).

wester beach at 11 years it was 78.

dunes beach it was 75.

and these are the most closest value beatween two  beaches

3. even if the rate remains constant we wont be able to have same width . because the width of weatern beach is decreasing and dunes beach is increasing. so the year their width was almost equal was year 11th. they will never have the same width because western beach is going down in width and dunes is going up.

hope it helps.  hope i get brainlist

3 0
2 years ago
What is the slope of the line represented by the equation y = 4/5x-3?
dsp73

Answer:

C

Step-by-step explanation:

option C.

When in the form y= mx +q the slope of a line is given by the number multiplying x

3 0
3 years ago
Read 2 more answers
Dayson is covering a package in the shape of a rectangular prism with wrapping paper. The package is 50 centimeters by 20 centim
goblinko [34]
<span>Dayson has 1 m2 of wrapping paper, which is 10000 cm2:
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 1 m^2 = (100 cm)^2 
 </span>1 m^2 = 10000 cm^2
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 A = <span> <span>4520 cm^2
 </span></span>The area of the package is less than the area of the wrapping paper (4520 cm^2 < 10000 cm^2<span>). So, Dayson cover the package with the wrapping paper.</span>
3 0
3 years ago
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