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Helen [10]
3 years ago
13

10 times the sum of half a number and 6 is 8

Mathematics
1 answer:
vredina [299]3 years ago
8 0
10 (x/2 +6)=8
10x/2 +60=8
Subtract 60 from both sides
10x/2+60-60=8-60
10x/2= -52
Multiply both sides by 2
(10x/2)*2= -52*2
10x= -104
Divide both sides by 10
10x/10=-104/10
Answer: x= -10.4
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How do you round 600 to the nearest hundred?
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Answer:

600

Step-by-step explanation:

600 hundred is already rounded.

Say if the number was 650, it would round to 700. But if it was 610 it would round to 600.

7 0
3 years ago
Identify the equation of the linear function through the points ​(- 2​,- 7​) and ​(1​,2​). Then state the rate of change of the
Assoli18 [71]

Answer:

The equation of line is y = 3 x - 1 , i.e option A  .

The rate of change = m = 3

Step-by-step explanation:

Given as :

The points are

(x_1,y_1 ) = (- 2, -7)

(x_2,y_2 ) = (1 , 2)

Let The slope = m

<u>Now, The slope is calculated in points form</u>

So, Slope = \dfrac{y_2-y_1}{x_2-x_1}

I.e m = \dfrac{2-(-7)}{1-(-2)}

or, m = \dfrac{9}{3}

I.e m = 3

So, The slope of points = m = 3

I,e Rate of change = m = 3

<u>Now, the equation of line in slope - point form can be written as</u>

y -y_1  = m ( x -  x_1)

where m is the slope of line

i.e y - (-7) = ( 3 ) × ( x - (-2) )

or, y + 7 =  3 × (x + 2)

∴ y + 7 = 3 x + 6

Or, y = 3 x + 6 - 7

Or, y = 3 x - 1

So, The equation of line is y = 3 x - 1

Hence, The equation of line is y = 3 x - 1 , i.e option A  .

And The rate of change = m = 3   Answer

8 0
3 years ago
The first three terms of a geometric sequence are
Lisa [10]

Answer:

a4 = 128

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Step-by-step explanation:

a1= -2

q= (-1)^(n+1) × 4

a4 = a1q³ = (-2) (-4)³ = -2 × -64 = +128

a5 = a1q⁴ = (-2) (-4)⁴ = -2 × 256 = -512

3 0
2 years ago
Work out the sum of the interior angles of any quadrilateral​
goldenfox [79]

Answer:

19

Step-by-step explanation:

5 0
2 years ago
A right rectangular prism is 101/2 m wide, 15 1/2 m long and 3 m tall
gizmo_the_mogwai [7]

Answer:

2348.25 m or 2348 1/4

Step-by-step explanation:

101/2 x 15 1/2 x 3 = 2348.25

8 0
2 years ago
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