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kykrilka [37]
3 years ago
11

5y + 4(-5 + 3y) = 1 – y solve step by step please

Mathematics
2 answers:
Yuri [45]3 years ago
8 0

Answer:

\boxed {y = \frac{7}{6}}

Step-by-step explanation:

Solve for the value of y:

5y + 4( -5 + 3y) = 1 - y

-Use <u>Distributive Property</u>:

5y + 4( -5 + 3y) = 1 - y

5y - 20 + 12y = 1 - y

-Combine like terms:

5y - 20 + 12y = 1 - y

17y - 20 = 1 - y

-Take -y and add it to 17y:

17y + y - 20 = 1 - y + y

18y - 20 = 1

-Add 20 on both sides:

18y - 20 + 20 = 1 + 20

18y = 21

-Divide both sides by 18:

\frac{18y}{18} = \frac{21}{18}

\boxed {y = \frac{7}{6}}

Therefore, the value of y is \frac{7}{6}.

Studentka2010 [4]3 years ago
3 0
Step by step, meaning explaining the equation right and answer?
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Does 6(3−5w)=5(4−2w)−20w have one solution, no solution, or infinitely many solutions? <br><br> plzz
Vikki [24]

Answer:

No solutions

Step-by-step explanation:

18-30w=20-10w-20w

18-30w=20-30w

18-20=30w-30w

-2 does not equal to 0

No solutions

6 0
3 years ago
Can an absolute value equal a negative?
Montano1993 [528]
The distance of it away from zero cannot be a negative distance, distance is always positive therefor the absolute value will always be positive.

Short answer: no, absolute value is always positive

I hope this helps :)
7 0
3 years ago
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
vichka [17]

Answer:

The first angle is the smallest

Step-by-step explanation:

Step one:

given data

Angle 1= x+37

Angle 2= 90

angle 3= x+67

We know that the sum of angle in a triangle is 180

so

x+3+90+x+67= 180

collect like terms

2x+160= 180

2x=180-160

2x= 20

divide both sides by 2

x= 10

Step two:

so

Angle 1= 10+37= 47 °

Angle 2= 90= 90

angle 3= 10+67= 77 °

7 0
3 years ago
The table shows how many shirts four garment factories made and how long it took to make them. The relationship between the numb
german
If you would like to know the production rate of factory E, you can calculate this using the following steps:

Factory   Number of days   Number of shirts
A             2                            600
B             3                            900
C             4                            1200
D             5                            1500

Factory E can make shirts at the same rate as the first four factories:
600 shirts / 2 days = 300 shirts per day
900 shirts / 3 days = 300 shirts per day
1200 shirts / 4 days = 300 shirts per day
1500 shirts / 5 days = 300 shirts per day

Factory E will make 1800 shirts in 6 days, therefore 1800 / 6 = 300 shirts per day.

The correct result would be:
Factory   Number of days   Number of shirts
E             6                            1800
8 0
3 years ago
Read 2 more answers
The height h in feet of the ball t seconds after it is kicked can be modeled by the function h = -4t (4t - 11). How long is the
Vaselesa [24]

Answer:

t₁  = 2,75 sec

Step-by-step explanation:

The ball will get h maximum when  dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time

Then

h(t)  = - 4t * ( 4*t - 11 )

h(t)  = - 16*t² + 44*t

Taking derivatives on both sides of the equation we get:

dh/dt  =  - 32*t  +  44

dh/dt  = 0     ⇒   -32*t  + 44 = 0

t  =  44/32     ⇒   t = 1,375 s

So twice this time

2*t   =  2 * 1.375

Total time t₁  = 2,75 sec

6 0
3 years ago
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