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Scrat [10]
3 years ago
9

2x-3+3x+1+2x=22. What is x?

Mathematics
2 answers:
marshall27 [118]3 years ago
7 0
2x-3+3x+1+2x=22 x=?
let's start with combining like terms
2x+3x+2x= 7x
-3+1=2
7x+2=22
+2 from both sides
7x=24
divide by 7 from both sides 
x=3.428hope this helped


Doss [256]3 years ago
4 0
2x-3+3x+1+2x=22 

7x-2=22
 

7x=22+2
 

7x=24
 

x= \dfrac{24}{7} 

\text{Decimal Form: 3.428571}
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the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference
adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: a=2

Sum of first 15 terms: S_{15}=292.5

The formula of sum of first n terms of an AP is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Where, a is first term and d is common difference.

Putting S_{15}=292.5, n=15 and a=2 in the above formula, we get

292.5=\dfrac{15}{2}[2(2)+(15-1)d]

292.5=\dfrac{15}{2}[4+14d]

292.5=15[2+7d]

Divide both sides by 15.

\dfrac{292.5}{15}=2+7d

19.5=2+7d

19.5-2=7d

17.5=7d

Dividing both sides by 7, we get

\dfrac{17.5}{7}=d

2.5=d

Therefore, the common difference is 2.5.

8 0
3 years ago
Help on this question please
telo118 [61]

Answer:

$33.00

Step-by-step explanation:

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Total cost for making name tags

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= $33.00

6 0
2 years ago
What is the answer 0,12km² a m² show work
seraphim [82]

Answer:

120 000 m^2

Step-by-step explanation:

I ASSUME you're being asked to convert from km^2 to m^2.

For this you need to identify the conversion rate, which is 1 000 000 m^2 / 1 km ^2. Multiply by the thing you're converting from and cancel the units.

(1 000 000 m^2 / 1 km ^2) x 0,12 km^2 = 120 000 m^2 (the km^2 cancels out, leaving you only with your target unit of m^2)

8 0
2 years ago
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I need a written response to solve all 4 steps
borishaifa [10]

Answer:

a. -2

b. s = 2 and y = -5

c. (2.5, -9)

d. -7x - 2

Step-by-step explanation:

a. In the image, I have used rise over run, which is -8/4 or -2.

b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.

c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).

d. y = mx + b

   5 = (-7)(-1) + b

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y = -7x - 2  

6 0
2 years ago
Geometry Question Help if you can please
docker41 [41]

Answer:

≈ 78.55 cm

Step-by-step explanation:

Using the ratio of arc (AB) to circumference (C) is equal to the ratio of angle subtended at centre by arc AB to 360°, that is

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110C = 8640 ( divide both sides by 110 )

C = \frac{8640}{110} ≈ 78.55 cm ( to 2 dec. places )

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3 years ago
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