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
Andreyy89
3 years ago
5

Part A: Solve P = 4a for a. Show your work. (4 points) Part B: Solve 3c − 5f = 55 for f. Show your work. (6 points)

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
Since we have two unknowns in both equations, the solution will still consists the known.
For the part A
P=4a,
Dividing both sides by 4,
P/4 =a
Therefore, a = P/4

Part B:
3c - 5f = 55
Add 5f on both sides of the equation,
3c-5f+5f=55+5f
3c=55+5f
Now subtract 55 on both sides
5f = 3c - 55
Divide both side of the equation by 5 to get f,
5f/5 = (3c-55)/5
f = (3/5)c - 11
You might be interested in
Sin theta+costheta/sintheta -costheta+sintheta-costheta/sintheta+costheta=2sec2/tan2 theta -1
sleet_krkn [62]

\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}=\dfrac{2sec^2\theta}{tan^2\theta-1}

From Left side:

\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}\bigg(\dfrac{sin\theta+cos\theta}{sin\theta+cos\theta}\bigg)+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}\bigg(\dfrac{sin\theta-cos\theta}{sin\theta-cos\theta}\bigg)

\dfrac{sin^2\theta+2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}+\dfrac{sin^2\theta-2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}

NOTE: sin²θ + cos²θ = 1

\dfrac{1 + 2cos\theta sin\theta}{sin^2\theta-cos^2\theta}+\dfrac{1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}

\dfrac{1 + 2cos\theta sin\theta+1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}

\dfrac{2}{sin^2\theta-cos^2\theta}

\dfrac{2}{\bigg(sin^2\theta-cos^2\theta\bigg)\bigg(\dfrac{cos^2\theta}{cos^2\theta}\bigg)}

\dfrac{2sec^2\theta}{\dfrac{sin^2\theta}{cos^2\theta}-\dfrac{cos^2\theta}{cos^2\theta}}

\dfrac{2sec^2\theta}{tan^2\theta-1}

Left side = Right side <em>so proof is complete</em>

8 0
3 years ago
Read 2 more answers
Notebooks cost $1.39 each. What are the possible numbers of notebooks that can be purchased with $10
murzikaleks [220]

Answer:

7

Step-by-step explanation:

HOPE THIS HELPS

PLZ MARK BRAINLIEST

4 0
3 years ago
Read 2 more answers
50 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP
Tresset [83]

Answer:

<em>4a ) Difference ⇒ $ 63.24,</em>

<em>4b ) 4 children</em>

Step-by-step explanation:

4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;

y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,

y = 42.16 + 85.15 ⇒ Combine like terms,

y = 127.31

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,

y = 105.4 + 85.15 ⇒ Combine like terms,

y = 190.55

Difference; 190.55 - 127.31 = 63.24,

<em>Solution; Difference ⇒ $ 63.24</em>

4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;

169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,

21.08x = 84.32 ⇒ Divide either side 21.08,

x = 4 children

<em>Solution; 4 children</em>

7 0
2 years ago
I’m really struggling with these proofs. We just started learning them and I’m highly confused!! Please help :)
gulaghasi [49]
I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:

(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles

8 0
3 years ago
Which table shows the function y = -2x + 4? A) x y 0 4 1 2 2 0 B) x y 1 25 2 26 3 27 C) x y 0 -4 1 -2 2 0 D) x y -1 6 -2 8 -3 12
Svet_ta [14]
The answer is A.

From looking at the A graph, you must plug in the x variable into<span> y = -2x + 4.

y = -2(0) + 4 = 4
y = -2(1) + 4 = 2
y = -2(2) + 4 = 0</span>
4 0
2 years ago
Other questions:
  • Every item in a store is discounted by 20%. Paige buys T-shirts that regularly cost $15 during the sale. She also pays 6.5% in t
    15·2 answers
  • A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometer
    6·1 answer
  • What is the midpoint of the line segment with endpoints (–1, 7) and (3, –3)?
    7·1 answer
  • 1,620 to the nearest ten ? Please don't answer if you know your wrong !
    5·1 answer
  • An assembly line consists of 21 tasks grouped into 5 workstations. The sum of the 21 task times is 85 minutes. The largest assig
    12·1 answer
  • alex works for his father assembling clock motors he is paid a piecework rate of $8.50 per motor. this week he assembled 21 moto
    14·2 answers
  • What do you need to do first to solve this equation ? -6x +4= -20
    5·1 answer
  • Find the angle, in radians, in the figure below if S = 8 and r = 6.
    13·1 answer
  • Jack's living room is 16 feet. By 20 feet long if a scale drawing of his living room uses a scale of 3/4 inches = 6feet ,find th
    5·1 answer
  • In class, there are 12 girls and 11 boys. Write each ratio 3 ways.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!