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3 years ago

Can someone please help me with this question, giving 20 points.

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

AM = 2(ME)
4x - 5 = 2(x + 3)
4x - 5 = 2x + 6
2x = 11
x = 5.5

answer
x = 5.5

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Find the value of d so the line that passes through (a,b) and (c,d) has a slope of 1/2.

Lapatulllka [165]

I'm guessing that in the book or the homework sheet, they gave you
the values of 'a', 'b', and 'c', and you're supposed to find the value of 'd'.

If you have two points on the line, then the slope of the line is

   (the change in 'y') divided by (the change in 'x') .

If the two points are (a, b) and (c, d), then the slope of the line is

   (d - b) divided by (c - a) ,

and you have to find the value of 'd' that makes that whole expression
equal to 1/2.

(d - b) / (c - a) = 1/2

Multiply each side by (c - a):   (d - b) = 1/2(c - a)

Add 'b' to each side: d = 1/2(c - a) + b

If you know the values of 'a', 'b', and 'c', you can find the value of 'd'.

5 0

3 years ago

Advance says you can double your money in 10 years if you put $1,000 and a simple interest account What annual interest rate doe

lesya692 [45]

Ok
I=PRT
P=present amount
I=interst
T=time in years
R=rate in percent

when you double your money, interest=present amount
I=1000=P
T=10 years
so
1000=1000(10)(R)
1000=10000R
divide both sides by 10000
0.10=R
10% is answer

7 0

4 years ago

Can someone please help me

Butoxors [25]

Answer:

1a. 58/99

1b. 53/90

1c. 29/50

Step-by-step explanation:

let's start with the easiest one

1.(c)

0.58 = 58/100 = 29/50

that is the simplest possible form, as 29 is a prime number and not a factor of 50.

1.(a)

0.585858585858... = 58×0.0101010101010101...

now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.

and we find

1/99 = 0.01010101010101...

so, our solution is

58 × 1/99 = 58/99

that is the simplest possible form, as 58 and 99 do not share any factors.

1.(b)

0.5888888888888... = 0.5 + 0.0888888888888... =

= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...

we know how to create 0.11111111111... :

1/9 = 0.111111111111111...

so, our solution is

0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =

= 45/90 + 8/90 = 53/90

this is the simplest possible form, as 53 is already a prime number and not a factor of 90.

8 0

2 years ago

What is the equation of the line that passes through the point (-6,3)(−6,3) and has a slope of -4/3?

ioda

The equation of the line that passes through the point (-6,3) and has a slope of -4/3 is y=(-4/3)x-5.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

Given the slope of the line is -4/3, also, the line passes through the point (-6,3). Therefore, when the values are substituted in the general equation of a line to get the value of the constant, we will get,

y = mx + c

3 = (-4/3)(-6)+c

3 = 8 + c

c = -5

Thus, the equation can be written as y=(-4/3)x-5.

Hence, the equation of the line that passes through the point (-6,3) and has a slope of -4/3 is y=(-4/3)x-5.

Learn more about the Equation of a line:

brainly.com/question/21511618

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