6/(x+1)-5/2=6/(3x+3)

Answers

Answer 1

Answer: If you would like to calculate 6/(x+1)-5/2=6/(3x+3), you can do this using the following steps:

6/(x+1)-5/2=6/(3x+3)
6/(x+1)-5/2=6/(3(x+1)) /*(x+1)
6 - 5/2 * (x+1) = 6/3
6 - 2 = 5/2 * (x+1)
4 = 5/2 * (x+1) /*2/5
4 * 2/5 = x + 1
8/5 - 1 = x
x = 8/5 - 5/5 = 3/5

The correct result would be 3/5.

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The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

.37 7 repeating as a fraction

Answers

0.37777... = 3.7777.../10 = (3 + 0.77777...)/10 = (3 + 7/(10^1 - 1))/10 = (3 + 7/9)/10 = (3 7/9)/10 = (34/9)/10 = 34/90

Greatest common factor of 126

Answers

Answer:

Step-by-step explanation:

Which point lies on a circle that is centered at A(-3, 2) and passes through B(1, 3)?C(-1, -2)

D(-6, 3)

E(-3, -3)

F(-2, 6)

Answers

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$\hbox{the center: } A(-3,2) \nh=-3 \n k=2 \n \n\hbox{the equation:} \n(x+3)^2+(y-2)^2=r^2 \n \n\hbox{the circle passes through B(1,3)} \nx=1 \n y=3 \n \Downarrow \n(1+3)^2+(3-2)^2=r^2 \n4^2+1^2=r^2 \n16+1=r^2 \n17=r^2 \n \n\hbox{the equation is:} \n(x+3)^2+(y-2)^2=17$

Plug the coordinates of the points into the equation and check:
$C(-1,-2) \n(-1+3)^2+(-2-2)^2=17 \n2^2+(-4)^2=17 \n4+16=17 \n20=17 \nnot \ true \n \nD(-6,3) \n(-6+3)^2+(3-2)^2=17 \n(-3)^2+1^2=17 \n9+1=17 \n10=17 \nnot \ true$

$E(-3,-3) \n(-3+3)^2+(-3-2)^2=17 \n0^2+(-5)^2=17 \n25=17 \nnot \ true \n \nF(-2,6) \n(-2+3)^2+(6-2)^2=17 \n1^2+4^2=17 \n1+16=17 \n17=17 \ntrue$

The answer is F(-2,6).

One angle is five less than three times the size of another angle. Together they have a sum of 143 degrees. What are the sizes of each angle?

Answers

Let the size of one angle be x
so the size of another angle = 3x-5
sum of the two angles = 143 degrees
so, x + 3x - 5 = 143
or, 4x = 143+5
or, x = 149/4 = 37.25 degrees
other angle = 3*37.25-5 = 106.75 degrees

let the another angle be x ,then first angle will be 3*x-5
according to the question
x + 3*x-5 =143'
x+3*x=143+5
4*x=148
x=148/4
x=37'
another angle = x =37'
first angle = 3x-5 = 3*37-5 = 111-5 = 106'

Which scenario best matches the linear relationship expressed in the equation y = 32x + 80?Joseph has $80 in his bank account and spends $32 each day.
Joseph has $80 in his bank account and earns $32 each day.
Joseph had $32 in his bank account and deposited another $80.
Joseph has $32 in his bank account and earns $80 each day.

Answers

Answer:

Option (2) best matches the given the linear relationship y = 32x + 80

Step-by-step explanation:

Given linear relationship as y = 32x + 80

We have to find the best match from the given options to the given the linear relationship.

1) Joseph has $80 in his bank account and spends $32 each day.

Let the money Joseph spend each day be $x

Since, the amount one spend gets deducted from the money one have.

So, given statement is represented as y = 80 - 32x .

2) Joseph has $80 in his bank account and earns $32 each day.

Let the money Joseph earns each day be $x

Since, the amount one earns gets added to the money one have.

So, given statement is represented as y = 80 + 32x .

3) Joseph had $32 in his bank account and deposited another $80.

Since, he is depositing money in account so it gets add up

So, given statement is represented as y = 32 + 80 = 112

4) Joseph has $32 in his bank account and earns $80 each day.

Let the money Joseph earns each day be $x

Since, the amount one earns gets added to the money one have.

So, given statement is represented as y = 32 + 80x .

Out of all four option, option (2) best matches the given the linear relationship y = 32x + 80

he has 80 in the bank account and earns 32 each day....where x represents the number of days and y represents the total in the account

How do i solve this2/3 divided by 8/7 =

Answers

2/3 / 8/7 flip the second fraction and multiply straight across

2/3 x 7/8 2 x 7 = 14

3 x 8 = 24 so you have 14/24 if you need to simplify, since both numerator and denominator are even so divide by 2. Which gives you 7/12

Hope this helps you :)

To solve that you're gonna have to multiply 2/3 by the reciprocal of 8/7 which is 7/8.

2/3 * 7/8 = (2 * 7)/(3 * 8)

14/24 reduces to 7/12 or .5833

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