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TEA [102]
3 years ago
9

Solve the equation. 24 = 2x – 9

Mathematics
2 answers:
Lyrx [107]3 years ago
8 0
Add 9 to both sides
So
33=2x
Divide both sides by 2
So
X=16.5
aleksandrvk [35]3 years ago
8 0
Answer: x=16.5

24=2x-9
Add 9 to each side
33=2x
Divide both sides by 2
16.5=x
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What is the volume and surface area of the figure below?
Artist 52 [7]

Answer:

51.8125 yd (not rounded)

3 0
3 years ago
two business partners, Ellen and Bob, invested money in their business at a ratio of 3 to 7. Bob invested the greater amount. th
Shtirlitz [24]

Answer:

Ellen invested $60 and Bob invested $140

Step-by-step explanation:

let the two amounts invested by 3x and 7x

(notice 3x : 7x = 3 : 7 )

then 3x + 7x = 200

10x = 200

x = 20

then 3x = 3(20) = 60

and 7x = 7(20) = 140

60+140=200

7 0
3 years ago
An arched drainage culvert can be modelled by the function:
Zanzabum

Substitute 136.5 for y.

136.5=\frac{x(191-x)}{60}

8190=x(191-x)

8190=191x-x^{2}

x^{2} -191x+8190=0

Compare this equation with ax^{2} +bx+c=0

a = 1, b = - 191, c = 8190

x=\frac{-b+\sqrt{b^{2}-4ac } }{2} or

x=\frac{-b-\sqrt{b^{2}-4ac } }{2}

x=\frac{191+\sqrt{191^{2}-4(1)(8190) } }{2} or

x=\frac{191-\sqrt{191^{2}-4(1)(8190) } }{2}

x=\frac{191+\sqrt{36481-32760 } }{2} or

x=\frac{191-\sqrt{36481-32760 } }{2}

x=\frac{191+\sqrt{3721 } }{2} or

x=\frac{191-\sqrt{3721 } }{2}

x=\frac{191+61}{2} or

x=\frac{191-61}{2}

x=\frac{252}{2} or

x=\frac{130}{2}

x = 126 or x = 65

Hence, the points on the curve are (65, 136.5) and (126, 136.5).

The width of the air space is the distance between these points.

Width = \sqrt{(x_{2}- x_{1})^{2} +( y_{2}- y_{1}) ^{2}

= \sqrt{(126- 65)^{2} +(136.5-136.5) ^{2}

= 126 - 65

= 61

Hence, width of the air space is 61m.



5 0
3 years ago
Put this equation into function notation:<br> y=(1200-2x)/3
Arte-miy333 [17]
Y=mx+b
y=(1200-2x)/3
y=1200/3-2/3x
y=400-2/3x
y=-2/3x+400
6 0
3 years ago
Help Solve for x. 1. -3x + 4 = 31
quester [9]

Answer:

1)-9

2)16

3)-2

Step-by-step explanation:

1)

-3x + 4 = 31

-3x = 31 - 4

-3x = 27

-x = 27/3

-x = 9

x = -9

2)

2x + -10 = 22

2x = 22 + 10

2x = 32

x = 32/2

x = 16

3)

40 = 32 – 4r

-4r = 40 - 32

-4r = 8

-r = 8/4

-r = 2

r = -2

4 0
3 years ago
Read 2 more answers
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