7(1 - y) = -3(y-2)
What is the answer

Answers

Answer 1

Answer:

[tex] \huge y = \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]7(1 - y) = -3(y-2)[/tex]

Expand the terms in the bracket

That's

[tex]7 - 7y = - 3y + 6[/tex]

Add 3y to both sides of the equation

[tex]7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6[/tex]

Subtract 7 from both sides by the equation

[tex]7 - 7 - 4y = 6 - 7 \\ - 4y = - 1[/tex]

Divide both sides by - 4

[tex] \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ [/tex]

We have the final answer as

[tex]y = \frac{1}{4} \\ [/tex]

Hope this helps you


Related Questions

In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in 4 minutes 37 seconds, how many minutes does it take in total for the team of 8 competitors to finish the race? Give your answer correct to the nearest minute. [Answer format: integer, no units]

Answers

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

Someone plz help me and plz show working out

Answers

Answer:

20y

Step-by-step explanation:

Area of rectangle = area of square

=> length * breadth = side²

=> 50y * 8y = side²

=> 400y² = side²

=> (20y)² = side²

=> 20y = side length of square

Let k be the side length of the square.
Since the area of the rectangle and the square is equal,
8yx50y=k^2
Or,400y^2=k^2
or,k=20y

HELP PLEASE I NEED ANSWER QUICK!!!
Explain why a function is always a relation but a relation is not always a function.​

Answers

Answer:

Function is always a relation because otherwise an equation could not be written about its spread behavior.

Function cannot have two ys to an x.  So, a relation is not always a function.

Step-by-step explanation:

Answer:

Function is always a relation because otherwise an equation could not be written about its spread behavior.

Function cannot have two ys to an x.  So, a relation is not always a function.

What does it take to become a boxer?

Answers

Answer:

Train your very hardest. You can't just give up on day on. Believe in yourself.

Step-by-step explanation:

the price of the stock decreases 45 per day for four consecutive days.what was the total change in value of the stock over 4 days of period

Answers

Answer:

stream walls by louis tomlinson on itunes

Step-by-step explanation:

A Pattern has 5 blue triangles to every 80
yellow triangles, what is the ratio of blue
triangles to all triangles?​

Answers

Answer:

5:80, there are only 2 numbers

Step-by-step explanation:

The ratio of blue triangles to all triangles is 1 : 17.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

A Pattern has 5 blue triangles to every 80 yellow triangles.

Here, Number of blue triangles = 5

Number of all triangles = 5 + 80

                                    = 85

Thus, The ratio of blue triangles to all triangles is,

⇒ Number of blue triangles : Number of all triangles

⇒ 5 : 85

⇒ 1 : 17

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Convert 5.4 ⋅ 10^3 to standard form.

Answers

Answer:

It's in standard form

Step-by-step explanation:

look at each expression. is it equivalent to "the quotient of 10 plus x and y minus 3"?​

Answers

Answer:

B

Step-by-step explanation:

B

The numerator is 10 + x.

The denominator is y - 3.

Graph on the number line x >-3
^
| there’s a line under the <

graph on the number line
x < -1

there’s a line under the <

Answers

Bro I’m struggling too cuz omg pls help

Answer:

x>-3 means that x is anywhere from -2 to any positive number... I don't know if this helps at all but it's what I got from the question ask! <3

Step-by-step explanation:

What is the value of r for 16-18

Answers

Answer:

98275

Step-by-step explanation:

5=6

4x - 5y - z= 18
-2x - 5y -2z= 12
-2x + 5y + z = 4

Answers

Answer:

x=-4, y=0, z=-2

Step-by-step explanation:

Help will be appreciated?

Answers

The answer is yes, you plug in 0 for x and y in the equation and then solve like normal, if the equation is correct then it is a solution

ANSWER QUICKLYYY PLEASEEE
What is the surface area of the rectangular prism below?

A 79 in.2
B120 in.2
C158 in.2

Answers

Answer:

The answer is B)120

Step-by-step explanation:

Multiply 5 and 8= 40 then, multiply 3 from 40.

Punch that into a calculator and it will give you 120

I need help with this​

Answers

Answer:

x=15

Step-by-step explanation:

4 I x-5 I +20 = 60 Distribute the 4

4x - 20 + 20 = 60   Combine like terms :

4x - 0 = 60

4x = 60 Divide:

 x = 15

Check :  4 I 15 - 5 I + 20 = 60

                  4 I10I +20 = 60

                    40 + 20 = 60

                         60 = 60 ✔

Hope this helps :)

Answer:

x = 15

Step-by-step explanation:

so simplify the first half of the equation

4x-20+20 = 60

combine like terms

4x = 60

divide both sides by 4

x = 15

I hope this helped ;D

No.3 .HELP NEEDED ASAP

Answers

Part A

2 white, 5 red, 7 total

P(1st white) = 2/7

P(1st white, 2nd white) = P(1st white)*P(2nd white)

P(1st white, 2nd white) = (2/7)*(4/9)

P(1st white, 2nd white) = 8/63

Let m = 8/63

---------------

P(1st red) = 5/7

P(1st red, 2nd red) = P(1st red)*P(2nd red)

P(1st red, 2nd red) = (5/7)*(7/9)

P(1st red, 2nd red) = 5/9

Let n = 5/9 = 35/63

---------------

m+n = P(both are same color)

m+n = 8/63+35/63

m+n = 43/63

Answer: 43/63

========================================

Part B

m = P(first white then red)

m = (2/7)*(5/9)

m = 10/63

n = P(first red then white)

n = (5/7)*(2/9)

n = 10/63

r = P(second bead isn't same color as first)

r = m+n

r = 10/63+10/63

r = 20/63

Answer: 20/63

========================================

Part C

m = P(1st white, 2nd white)

m = (2/7)*(4/9)

m = 8/63

n = P(1st red, 2nd white)

m = (5/7)*(2/9)

m = 10/63

m+n = P(2nd is white)

m+n = 8/63+10/63

m+n = 18/63

m+n = 2/7

Answer: 2/7

========================================

Part D

If we withdraw 1 white bead, but we add it back in, then the probability of selecting white has not changed on the second selection.

The same can be said if we picked a red bead as well. This is because we simply replace the red bead with a copy of some other red bead.

Nick's statement is another way of saying replacement is happening.

Answer: True

Rectangle QUAD has coordinates​ Q(0,0), ​U(0,​3), ​A(7​,​3), and ​D(​7,0). ​Q'U'A'D' is the image of QUAD after a dilation with center​ (0,0) and scale factor 6. What are the coordinates of point U ​'?

Answers

Answer:

22

Step-by-step explanation:

After dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).

What is dilation?

" Dilation is defined as to resize the given geometrical shape with given scale factor."

Formula used

Scale factor

=  (Dimensions of new shape) ÷ (Dimensions of original shape)

According to the question,

Given rectangle QUAD,

Coordinates of Q(0,0)

Coordinates of  U(0,3)

Coordinates of  A(7,3)

Coordinates of D(7,0)

Q'U'A'D' is the image of QUAD after a dilation with center​ (0,0) and scale factor 6.

New Coordinates of Q'(0,0)

New Coordinates of  U'(0,18)

New Coordinates of  A'(42,18)

New Coordinates of D'(42,0)

Hence, after dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).

Learn more about dilation here

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What three ratios are equivalent to 5 to 2

Answers

Answer:

10:4, 15:6, 20:8

hope that helps.

First to answer gets BRAINLY!!

Answers

Answer:

the second answer

Step-by-step explanation:

It’s D :6x, 5y and 3

Find three consecutive integers such that when three times the third is increased by the first, the result is 8 less than five times the second.

Answers

Answer:

           9, 10 and 11

Step-by-step explanation:

x - the smallest of three consecutive integers (the first)

x+1 - the next of three consecutive integers (the second)

x+2 - the last of three consecutive integers (the third)

3(x+2) - three times the third integer

3(x+2)+x - three times the third increased by the first

5(x+1)   - five times the second tnteger

5(x+1)-8  - 8 less than five times the second

3(x + 2) + x = 5(x + 1) - 8

3x + 6 + x = 5x + 5 - 8

   4x + 6 = 5x - 3

       -4x        -4x

        6 = x - 3

         x = 9

x+1 = 10

x+2 = 11

Check:  3×11+9 = 33+9 = 42,   5×10-8=50-8 = 42

I dont understand what to do here​

Answers

Answer:

x=6?

Step-by-step explanation:

it is 90 degresses

dialation of a triangle use picture for question ​

Answers

Answer:

see explanation

Step-by-step explanation:

Assuming the dilatation is centred at the origin.

Then multiply the coordinates of each point by the scale factor, that is

(- 2, 3 ) → (- 2(2), 3(2) ) → (- 4, 6 )

(3, 4 ) → (3(2), 4(2)) → (6, 8 )

(4, - 1 ) → (4(2), - 1(2)) → (8, - 2 )

3 708 000 000 in scientific notation

Answers

3,708,000,000 in  scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]

Write the converse of the following statement.

If two lines have equal slopes, then the lines are parallel.

Answers

Answer:

If two lines are parallel, then they have equal slopes.

Step-by-step explanation:

Conditional:

If two lines have equal slopes, then the lines are parallel.

Converse: switch the hypothesis and the conclusion.

Converse:

If two lines are parallel, then they have equal slopes.

when a figure translated, reflected, or rotated, what’s the same about the original figure and it’s image? what’s different

Answers

Answer:

The size of the figure is still the same, but the positioning on the coordinate grid is different.

Step-by-step explanation:

The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.

What is reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection. The reflection equation of the new reflected graph will be y=f(x), y = f (x) given an equation, y= -f(x), y = -f (x). In other words, the function is just multiplied by 1, which results in a curve that crosses the x-axis.The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.

As, it is stated in the description that the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.

Therefore, the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.

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I don't understand this​

Answers

Answer: m<DEA = 95° also

Step-by-step explanation: I took geometry last year and I don’t remember the exact name of the explanation but both of the angles are equal

The cost of 6 1/2 kg of apples is Rs. 520. What is the rate of one kg of apples

Answers

Step-by-step explanation:

So, cost of 6.5 kg of apples is Rs. 520 and we need to find cost of one kg apples.

It can be done just by applying Unitary Method!

So,

6.5 kg -- Rs. 520

1 kg -- Rs.(520/6.5) = Rs.80

So, cost of 1 kg apples is Rs.80.

What is 5.2 as a mixed number in simplest form?
1. 5 and 1/2
2. 52/100
3.5 and 20/10
4.5 and 1/5

Answers

It’s 5 and 1/5 because 5.2 equals 5 and 2/10, then simplify the 2/10 to 1/5. The answer is 5 and 1/5

It is estimated that the distance traveled by each volunteer driver at the Huntington VA Medical Center is normally distributed with a mean of 50 thousand miles and a standard deviation of 12 thousand miles each year. What percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year?

Answers

Answer: 25.08%

Step-by-step explanation:

Given: Distance traveled by each volunteer driver is normally distributed.

Mean ([tex]\mu[/tex]) = 50 thousand miles

standard deviation ([tex]\sigma[/tex])=  12 thousand miles

Let X = distance traveled by each volunteer driver

Required probability : [tex]P(X<30)+P(X>60)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}][/tex]

Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%

The perimeter of a rectangle is 600 yards. What are the dimensions of the rectangle if the length is 30 yards more than the​ width?

Answers

Answer:

L=165 W=135

Step-by-step explanation:

I plugged in numbers till I found the right fit or you could use the equation P=L+W

Answer: Length of one side: 165  Width of one side: 135

Step-by-step explanation: hope this helps

.The quantities xxx and yyy are proportional.
xxx yyy
444 101010
555 12.512.512, point, 5
101010 252525
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r=r, equals

Answers

Answer:

2.5

Step-by-step explanation

:khan academy

Answer:

rx is 2.5. as the cop (constant of proportionality)

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