1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irga5000 [103]
2 years ago
9

What is the solution for the equation -15=5(3y-10)-5y

Mathematics
1 answer:
marissa [1.9K]2 years ago
7 0

Answer:

  • \Large\boxed{\sf{y=\dfrac{7}{2} }}

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

<u>First, switch sides.</u>

\sf{5\left(3y-10\right)-5y=-15}

Use the distributive property.

<u>DISTRIBUTIVE PROPERTY:</u>

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}

  • <u>Therefore, the correct answer is y=7/2.</u>

I hope this helps. Let me know if you have any questions.

You might be interested in
Justin owns a food truck that sells tacos and burritos. He only has enough supplies to
vfiekz [6]

Answer:

The solution in the attached figure

One possible solution is the point (30,60)

Step-by-step explanation:

Let

x -----> represents the number of tacos sold

y -----> represents the number of burritos sold

we know that

------> inequality A

-----> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure

One possible solution is the point (30,60)

Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

so

That means----> The number of tacos sold is 30 and the number of burritos sold

Verify

Substitute the value of x and the value of y in each inequality

Inequality A

----> is true

Inequality B

----> is true

The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system

Read more on Brainly.com - brainly.com/question/13301815#readmore

Step-by-step explanation:

3 0
3 years ago
Please help! Brainliest will be given to first to answer
Nataly_w [17]

Answer:

100 residents/km2

Step-by-step explanation:

5×4 = 20 2,000÷20 = 100

6 0
3 years ago
Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the
Rama09 [41]

<em><u>Question:</u></em>

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s   2s   3s   4s

<em><u>Answer:</u></em>

It takes 2 seconds for object to hit the ground

<em><u>Solution:</u></em>

<em><u>The given equation is:</u></em>

h(t) = -16t^2 + v_0t+h_0

Initial velocity = 27 feet/sec

h_0 = 10\ feet

Therefore,

h(t) = -16t^2 +27t+10

At the point the object hits the ground, h(t) = 0

-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0

Solve by quadratic formula,

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0
3 years ago
What is equivalent to ln(e^3)
malfutka [58]

Answer:

3

Step-by-step explanation:

The natural log is the inverse of the exponential (and vise versa), so ln(e^3) = 3.

(This is the also same as e^(ln3))

4 0
3 years ago
Read 2 more answers
Solve for x. <br><br> 12x/5 = 18
jarptica [38.1K]
For this problem you have to isolate the variable. To do this you must inverse the operations. Multiply 18 by 5, then divide by 12 to get your answer of 7.5
3 0
3 years ago
Other questions:
  • What is the name of the relationship between 1 and 4? Parallel Lines and Transversals A. corresponding angles B. alternate inter
    9·1 answer
  • What document changed the purpose of the Civil War from one of states' rights to that of slavery?
    9·1 answer
  • Gasoline prices for the first six months of 2004 are shown in the table below. Using a logarithmic model, what is the best
    13·1 answer
  • (1,46) (2,40) (3,39) (4,35) (5,30) (6,27) equation line of best fit
    15·1 answer
  • Can someone please help me with both questions I’ll Mark brainlist !
    12·1 answer
  • PLEASE ANSWER ASAP IF YOU GET THE ANSWER
    11·1 answer
  • Figure b is a scaled copy of figure a, what is the scale factor from figure a to figure b?
    14·1 answer
  • Find the indicated side of the triangle
    13·2 answers
  • Translate each word expression into an algebraic expression.
    8·1 answer
  • Identify the sampling technique used. Every 17th person in line to buy tickets to a concert is asked his or her age.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!