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alekssr [168]
3 years ago
11

Make x the subject of these equations.

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0

(1)a(x + b) = c \\ ax + ab = c \\ ax = c - ab \\  \frac{ax}{a } =  \frac{c - ab}{a}   \\ x =  \frac{c - ab}{a}

(2)8(x + a) = b \\ 8x + 8a = b \\ 8x = b - 8a \\  \frac{8x}{8}  =  \frac{b - 8a}{8}  \\ x =  \frac{b - 8a}{8}

(3)a(x - 7) = b \\ ax - 7a = b \\ ax = b + 7a \\  \frac{ax}{a}  =  \frac{b + 7a}{a}  \\ x =  \frac{b + 7a}{a}

(4)c(2  + x) = 6 \\ 2c + cx = 6 \\ cx = 6 - 2c \\  \frac{cx}{c}  =  \frac{6 - 2c}{c}  \\ x =  \frac{6 - 2c}{c}

Murrr4er [49]3 years ago
8 0
A(x+b)=c
Open bracket: ax+ab=c
ax=c-ab
Divide both sides by a to make x subject of formula
x=c-ab/a
x=c-b

8(x+a)=b
8x+8a=b
8x=b-8a
x=b-8a/8
x=b-a

a(x-7)=b
ax-7a=b
ax=b+7a
x=b+7a/a
x=b+7

c(2+x)=6
2c+cx=6
cx=6-2c
x=6-2c/c
x=6-2
x=4
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The figure shows rhombus ABCD. Which of the following conditions satisfies the criteria for rhombi?
Vitek1552 [10]

Answer:

BEC is 90 degrees

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
5/8(x-1/3)=5/12 can someone help me figure out what x is?
eimsori [14]
Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer:  x = 1
3 0
3 years ago
Answer this please im giving brainliest
Colt1911 [192]
Since the question says she plans to work "more than" the hours last month, it is h>74.25 (second choice down). If it said "more than or equal to," it would be the third option down.

ANSWER: h>74.25 (second choice down)

Hope this helps! :)
8 0
2 years ago
I need help<br><br> (No link please)
umka21 [38]

Answer:

the formula for finding the perimeter of a rectangle is P=2L+2W

an example of how to find the perimeter is

Explanation:

For a rectangle, its perimeter is the sum of all for sides.

The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.

54=20+20+S+S

Simplify

54=40+2S

Solve for S

14=2S

S=7

Step-by-step explanation:

6 0
2 years ago
The answer to 48:(4+4)
11Alexandr11 [23.1K]

Answer:

6:1

Step-by-step explanation:

48:( 4+4 )

= 48:8

= <u>6:1</u>

5 0
2 years ago
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