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
Ber [7]
2 years ago
15

5w = 23 - 3f and 4f = 12 - 2w

Mathematics
2 answers:
Snezhnost [94]2 years ago
8 0

Answer:

Step-by-step explanation:

Kryger [21]2 years ago
5 0

Answer:

f = 1, w = 4

Step-by-step explanation:

Given the 2 equations

5w = 23 - 3f → (1)

4f = 12 - 2w (add 2w to both sides )

2w + 4f = 12 ( subtract 4f from both sides )

2w = 12 - 4f → (2)

Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f

20w = 92 - 12f → (3)

- 6w = - 36 + 12f → (4)

Add (3) and (4) term by term to eliminate f

14w = 56 ( divide both sides by 14 )

w = 4

Substitute w = 4 into either of the 2 equations and solve for f

Substituting into (1)

5(4) = 23 - 3f

20 = 23 - 3f ( subtract 23 from both sides )

- 3 = 3f ( divide both sides by - 3 )

1 = f

You might be interested in
I have completed the first three parts of this question, but now need help to finish...I need to calculate the ratios of the 4 l
galben [10]

At first, we will find the lengths of LK, Lm, ON, OP, then use them to find the ratios between them

The rule of the distance is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For LK

Since L = (3, 6), K = (1,5.33), then

\begin{gathered} LK=\sqrt{(3-1)^2+(6-5.33)^2} \\ LK=\sqrt{4+0.4489} \\ LK=\sqrt{4.4489} \end{gathered}

For LM

Since L = (3, 6), M = (5, 6.67), then

\begin{gathered} LM=\sqrt{(3-5)^2+(6-6.67)^2} \\ LM=\sqrt{4+0.4489} \\ LM=\sqrt{4.4489} \end{gathered}

For ON

Since O = (3, 2.59) and N = (5, 4.2), then

\begin{gathered} ON=\sqrt{(3-5)^2+(2.59-4.2)} \\ ON=\sqrt{4+2.5921} \\ ON=\sqrt{6.5921} \end{gathered}

For OP

Since O = (3, 2.59), P = (1, 0.99), then

\begin{gathered} OP=\sqrt{(3-1)^2+(2.59-0.99)^2} \\ OP=\sqrt{4+2.56} \\ OP=\sqrt{6.56} \end{gathered}

Now let us find the ratios between them

\begin{gathered} \frac{KL}{LM}=\frac{\sqrt{4.4489}}{\sqrt{4.4489}}=1 \\ \frac{PO}{ON}=\frac{\sqrt{6.56}}{\sqrt{6.5921}}=0.9975\approx1 \\ \frac{KL}{LM}=\frac{PO}{ON}=1 \end{gathered}

That means, Parallel lines intercept equal parts

By joining MP

We will have Triangle KPM

Since KL = LM ------- Proved using the distance formula

Since LQ // KP ------ Given

Then MQ = QP ------- Using the theorem down

The theorem

If a line is drawn from a midpoint of one side of a triangle parallel to the opposite side, then it will intersect the 3rd side in its midpoint (Q is the midpoint of MP)

Parallel lines intercept equal parts

7 0
1 year ago
Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmi already has 24 cups of pineapple juice, how man
lilavasa [31]

Answer:

Step-by-step explanation:

The ratio is 4:6 4 papaya to 6 pineapple

This turns out to be for every 1 cup of papaya juice you have 1.5 cups of pineapple juice.

If you have 24 cups of pineapple juice divide 24 by 1.5 to get 16 cups of papaya juice. 16:24.

6 0
2 years ago
30 tens =___ 100 <br> 30 ten's is equal to how many 100's
VashaNatasha [74]

Answer:

3

Step-by-step explanation:

30 tens is basically 30 x 10 = 300

300/100 = 3

you get 3 hundreds from 30 tens

3 0
2 years ago
What is 8/18 simplest form
wolverine [178]

Answer:

4/9

Step-by-step explanation:

8/2=4

18/2= 9

4 0
2 years ago
Read 2 more answers
Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h
coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = 15x + 18y

We have to minimize this cost.

Then, we can write the following inequalities:

6x + 8y \geq 208\\x \geq 8\\y \geq 8\\

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

3 0
3 years ago
Other questions:
  • Lauren would like to find the midpoint of a line segment that has endpoints at (–0.5, 3) and (4, 7.5). Which statements are true
    14·2 answers
  • Aunt Maggie’s car broke down on Interstate 10. Sam’s Towing charges a $57 hook up fee and $2.00 per mile towed. Regina’s Towing
    8·1 answer
  • Crystal's mud mask costs $23 for a 0.45 oz jar. She found the same mud mask online for $72. What is the size of the jar Crystal
    15·1 answer
  • The slope of a line that passes through 6 -2 and 6 negative 4
    12·2 answers
  • A limited edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
    14·2 answers
  • Can U pls help with this number in the sequence​
    5·1 answer
  • Simplify -5 + 3d + 6 - 4d
    12·1 answer
  • PLEASE HELP ASAP Ms. Roberts has a container of snap cubes. There are 25 grays, 33 black, 18 red, 5 brown, and 12 yellow. Create
    15·2 answers
  • Please Help need ASAP
    9·2 answers
  • Which side of the mountain would protect you from the wind best?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!