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Brilliant_brown [7]
2 years ago
14

One-fourth of the sum of a number and 10 is 2 less than twice the number?

Mathematics
1 answer:
Marysya12 [62]2 years ago
4 0

Answer:

The number is 2

Step-by-step explanation:

The equation is: 1/4 (x + 10) = 2x - 1

1/4x + 2.5 = 2x - 1

Multiply everything by 4 to get rid of the fraction

x + 10 = 8x - 4

Subtract x from both sides

10 = 7x - 4

Add 4 to both sides

14 = 7x

Divide both sides by 7

x = 2

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What is the missing term of the arithmetic sequence? 6, ______, 30
Andrei [34K]

Let k = the constant amount added to the sequence since this is an arithmetic sequence

       x = missing number

You have to formulate an equation based on the sequence:

6 + k = x or k = x – 6

x + k = 30

Substitute the value of k to the second formula:

x + x – 6 = 30

2x = 36

x = 18

Therefore, the missing number is 18.

3 0
3 years ago
Please please help me with this
Pavlova-9 [17]

Answer:

140

Step-by-step explanation:

Area of a rhombus = GE * HF / 2

Since, ED = 10,  GE = 2* ED. SO, GE = 20

Since, FD = 7, HF = 2*FD. SO, HF = 14

So, 20 * 14/2

=> 10 * 14

=> 140

5 0
2 years ago
Briooooo wat is dis answer I need HELP
Harrizon [31]

Answer:

Mehmed II

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Write the equation of the line that passes through (-3,6) with a slope of -2
Ksenya-84 [330]

                  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}

       What is the equation of the line that passes through (-3, 6) and has a slope of -2?

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond

     

First, we need to write the equation of the line in point-slope form:-

\sf{y-y_1=m(x-x_1)}

Replace y1 with 6, m with -2, and x1 with -3:-

\sf{y-6=-2(x-(-3)}

On simplification,

\sf{y-6=-2(x+3)}

On further simplification,

\sf{y-6=-2x-6}

Add 6 on both sides:-

\it{y=-2x}

<h3>Good luck with your studies.</h3>

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

6 0
1 year ago
What the answer please!!!!!
Mariana [72]

Answer:

Step-by-step explanation:

To find y=mx+b we need to identify two points. I picked (20,45) and (50,65)

From these two points we can find the slope, m.

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

m=(65-45)/(50-20)

m=20/30=2/3 so now our line is

y=2x/3+b, we can solve for b using either point, I’ll use (20,45)

45=2(20)/3+b

45=40/3+b

b=45-40/3

b=(135-40)/3

b=95/3 so the line is

y=(2x+95)/3

3 0
2 years ago
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