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Daniel [21]
3 years ago
9

Solve the equation.

Mathematics
1 answer:
mylen [45]3 years ago
7 0

-9/15y+3/21=5/15y-14/21

Move 5/15y to the other side. Sign changes from +5/15y to -5/15y

-9/15y-5/15y+3/21=5/15y-5/15y-14/21

-14/15y+3/21=-14/21

Move 3/21 to the other side. Sign changes from +3/21 to -3/21.

-14/15y+3/21-3/21=-14/21-3/21

-14/15y=-14/21-3/21

-14/21-3/21=-17/21

-14/15y=-17/21

Multiply both sides by -15/14

-14/15y(-15/14)

Cross out 15 and 15, divide by 15 then becomes 1

Cross out 14 and 14, divide by 14 then becomes 1

1*1*y=y

-17/21*-15/14

Cross out 15 and 21 , divide by 3. 15/3=2, 21/3=7

17/7*5/14=85/98

Answer: c. y=85/98

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Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each
Agata [3.3K]

Answer:

15.9 centimeters

Step-by-step explanation:

the information we have is:

Perimeter: P=95.4cm

Number of sides of the polygon: n=6

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

P=nl

where n is the number of sides and l is the length of each side.

So we clear for l and we get:

l=\frac{P}{n}

and subtituting the known values:

l=\frac{95.4cm}{6}\\ l=15.9cm

each side is 15.6 centimeters long

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3 years ago
Solve for the variable b. 5a(b - c ) = d
Liula [17]
5a(b-c)=d. Here, we are trying to isolate the variable b.
Divide both sides by 5a: b-c=d/(5a)
Add c to both sides: b= \frac{d}{5a} +c
3 0
4 years ago
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What does the 75th term look like of 6,9,12
leva [86]

Answer:

228

Step-by-step explanation:

We are adding 3 each time so general rule is

Tn= 3n + 3

Therefore

T= 3(75)+3

= 228

3 0
3 years ago
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For the summer camp, Josie orders 45 sets of markers. One -fifth of the sets need to go to the office 2/3 of the sets go to the
Degger [83]

Answer:

6 sets

Step-by-step explanation:

(“of”=multiply)

Step 1.

1/5 of 45 sets = 45 x 1/5 = 9 sets.

Step2.

2/3 of 9 sets = 9 x 2/3 = 6 sets

Final Answer:

6 sets

7 0
3 years ago
HELP!!!<br> With working out... what’s the values of a b and c<br><br> (2x+1)(ax+b)=(6x^2-5x+c)
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Answer:

Step-by-step explanation:

(2x + 1)(ax + b) = 6x² - 5x + c

Expand the left side and put that half into standard form:

2ax² + 2bx + ax + b = 6x² - 5x + c

2ax² + (2b + a)x + b = 6x² - 5x + c

So now look at the x terms. We have "2a" x² on left and 6 x² on right, so:

2a = 6

a = 3

Then look at the x terms, those coefficients will then be equal:

2b + a = -5

2b + 3 = -5

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and finally, then non-x terms are equal:

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so:

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