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
defon
3 years ago
8

What is the solution to this equation?

Mathematics
2 answers:
Marina86 [1]3 years ago
6 0

Answer:

D. s=32

Step-by-step explanation:

To solve the equation, we want to find out what s is. In order to do this, we have to get s by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

–5(s – 30) = –10

s-30 is being multiplied by -5. The opposite of multiplication is division. Divide both sides by -5.

–5(s – 30)/-5= –10/-5

s-30=-10/-5

s-30=2

30 is being subtracted from s. The opposite of subtraction is addition. Add 30 to both sides.

s-30+30=2+30

s=2+30

s=32

Let's check our solution. Substitute 32 in for s in the original equation. If our solution is correct, the left side of the equation should match the right side.

–5(s – 30) = –10

-5(32-30)=-10

-5(2)= -10

-10=-10

The statement above is true, so we know that s is equal to 32, and D is the correct answer.

VikaD [51]3 years ago
4 0

Answer:

s = 32

Step-by-step explanation:

–5(s – 30) = –10

Divide each side by -5

–5/ -5(s – 30) = –10/-5

s - 30 = 2

Add 30 to each side

s-30+30 = 2+30

s = 32

You might be interested in
Which of these items is a tax deduction?
Flura [38]
I'll just provide you some tax deductions.
1) sales tax. 
2) state tax
3) health insurance premiums *subject to limitations
4) tax savings for teachers *up to $250 for materials
5) charitable gifts
6) lifetime learning
7) unusual business expense
8) looking for job at the same field *cost incurred during job hunting can be deductible but still subject to limitation
9) self-employed social security

7 0
3 years ago
I need help don't know what to do
givi [52]
Substitute 5 for g so...
5 times 11 =55
5 0
2 years ago
Read 2 more answers
Plz help!!
Alexxx [7]

Answer:

there is a 3/4 chance that they pass will be completed, 3/4=75%.

Step-by-step explanation:

Thats all I got, I hope this may help tho! :)

6 0
2 years ago
Read 2 more answers
Consider the case of a triangle with sides 5, 12, and the angle between them 90°.
Daniel [21]

Answer:

a) Applying Pithagoras Theorem

b) Trigonometric relations

c) No we can not

d) No we can not

e) See step-by-step explanation

f) See step-by-step-explanation

Step-by-step explanation:

a) The easiest method for calculating the missing side is applying Pithagoras Theorem

c²  =  a²  +  b²

c²  =  (5)²  +  (12)²      ⇒  c²  = 25 + 144    ⇒ c²  =  169    ⇒  c  = 13

b) The easiest method to find the missing angles, is to calculate the sin∠ and then look for arcsin fuction in tables.

sin ∠α = 5/13    sin ∠α = 0.3846    ⇒      arcsin (0.3846 )   α  = 23⁰

Now we can either get the other angle subtracting 180 - 90 - 23 = 67⁰

Or calculating sinβ = 12 /13    sinβ = 0.9230  arcsin(0.9230)   β = 67⁰

c) The law of cosines should not be applied to right triangles, in fact for instance in our particular case we have:

Question a)

c²  = a² + b² - 2*a*b*cos90⁰   (law of cosines ) but cos 90⁰ = 0

then c²  = a² + b² which is the expression for theorem of Pithagoras

In case you look for calculating the missing angles

c²  = a²  +  b²  - 2*5*13*cos α

169 = 25  +  144 - 2*5*13* cos α

As you can see 169 - 25 - 144 = 0

Then we can not  apply law of cosine in right triangles, we shoul apply trigonometric relations and Pithagoras theorem, and as we saw you can get the expression of Pithagoras theorem from cosine law

c²  =  a²  +  b²  - 2*a*b*cos∠90°    cos ∠ 90°  = 0

Then     c²  =  a²  +  b²

3 0
3 years ago
Find the secant of angle Z<br> A.4/5<br> B.4/3<br> C.3/5<br> D.5/3
Alex73 [517]

Answer:

D 5/3

Step-by-step explanation:

Secθ= Hypotenuse/Adjacent

Secθ=10/6

Simplify: 10/6 -->5/3

Ans: D 5/3

remember your six trigonometric functions:

Sinθ=Opp/Hyp -->Cscθ=Adj/Hyp

Cosθ=Adj/Hyp -->Secθ=Hyp/Adj

Tanθ=Opp/Adj-->Cotθ=Opp?Adj

It is basically the opposite of each other, don't forget when you are at the last step you simplify! never forget. Also working with square roots will be a bit tricky when converting to Csc/ Sec/ Cot. Just noting you that Square roots don't belong in denominators!

3 0
3 years ago
Other questions:
  • Write an equation that is parallel to the equation -3x-1/3y=27
    11·1 answer
  • Suppose 2 circles are constructed. Under what conditions do the circles have 1 point in common, 2 points in common, no points in
    13·1 answer
  • –<br> 1<br> 3<br> 4<br> +<br> 3<br> 4<br> ×<br> –<br> 4÷2
    11·2 answers
  • A piece of wood is designed in the same of a cone.
    8·1 answer
  • Joshua went to the hardware store and bought 4 yellow ropes. The total
    6·1 answer
  • 4<br> 이<br> 0<br> 11|<br> -1<br> 2<br> .<br> -3<br> 1<br> -3 -11
    13·1 answer
  • What is the sum of the exterior angles of polygon QRST?
    6·1 answer
  • 22. Starting with x=0.393939, express x as a fraction in simplest form.
    6·1 answer
  • Does this table represent a function or not? Why or why not?
    12·2 answers
  • PLEASE HELP ME! ALSO PLEASE EXPLAIN!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!