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
notsponge [240]
3 years ago
15

A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are th

ere?
Mathematics
1 answer:
andriy [413]3 years ago
4 0
We are given that there are 11 animals with a total of 34 legs.

 Let G = number of Goats, and D = number of Ducks

 then G + D = 11; solving for G, we get G = 11 - D

 then, 4G + 2D = 34

 substituting the value for G, we get 4(11 - D) + 2D = 34

 expanding, we get 44 - 4D + 2D = 34

 solving, we get D = 5. Therefore, G = 6

 Proof: (5 x 2) + (6 x 4) = 34
You might be interested in
In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
ryzh [129]

Answer:

B = 61°

A = 29°

a = 10

Step-by-step explanation:

We are given;

c = 16, b = 14​

Since we are told that C is a right angle, it means that C = 90°

Thus using sine rule, we have;

c/sin C = b/sin B

16/sin 90 = 14/sin B

16/1 = 14/sin B

sin B = 14/16

sin B = 0.875

B = sin^(-1) 0.875

B ≈ 61°

Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.

Thus, from pythagoras theorem, If the other side of the triangle is a, then;

a² + b² = c²

a² + 14² = 16²

a² = 16² - 14²

a² = 256 - 156

a² = 100

a = √100

a = 10

Since we know B and C, we can find A because sum of angles in a triangle is 180°.

Thus;

A = 180 - (B + C)

A = 180 - (61 + 90)

A = 29°

4 0
3 years ago
6. Which pair of points forms a vertical line segment that is 4 units long? (1 point) • (–3, 5) and (–7, 5) • (3, –8) and (3, –4
Ilia_Sergeevich [38]
(-7,5) and (-3,5) :) 
4 0
2 years ago
Read 2 more answers
Minstrel Manufacturing uses a job order costing system. During one month, Minstrel purchased $198,000 of raw materials on credit
Diano4ka-milaya [45]

Answer:

$440,000

Step-by-step explanation:

Direct material:

= $195,000 - $30,000

= $165,000

Direct labor:

= $150,000 - $40,000

= $110,000

Manufacturing overhead:

150% of direct labor cost.

= $110,000 x 150 ÷ 100

= $16,500,000 ÷ 100

= $165,000

Total manufacturing costs:

= $165,000 + $110,000 + $165,000

= $275,000 + $165,000

= $440,000

The total manufacturing costs added during the period is: <u>$440,000</u>

5 0
3 years ago
If the length of segment AC equals 58, what is the length of the midsegment DE
Delicious77 [7]

Answer:

B) 29

Step-by-step explanation:

Given:

AC= 58

Point D and E are the midpoints of side AB and BC Respectively.

Solution:

According to Midpoint theorem which states:

"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

\therefore DE= \frac{1}{2} AC

DE= \frac{58}{2} =29

Hence length of DE is 29.

4 0
3 years ago
Read 2 more answers
Which is a solution to -5x 3x&gt;22
erastova [34]
-5x + 3x > 22
-2x > 22
x < 22/-2  (greater than sign changes to less than sign when you divide with negative number)
x < -11
6 0
3 years ago
Other questions:
  • Ms. Harvey uses 70 ft of fencing to build a fence around a rectangular garden. The area of the garden is 300 square feet. What a
    8·1 answer
  • What does 2/4 + 5/10 equal
    13·1 answer
  • Simplify 8 - (-5) - 4(-7).
    10·1 answer
  • A model scale is 1cm=8m if the actual object is40 metersthe model is ​
    11·1 answer
  • PLEASE EXPLAIN HOW TO SOLVE THIS PROBLEM!!
    14·1 answer
  • 17 13/18 divided by 2 7/9
    10·1 answer
  • 2 ABC Company has a large piece of equipment
    9·1 answer
  • Solve for k<br>4k=10+2k​
    7·1 answer
  • Please help me and answer all three parts.
    6·1 answer
  • HELP ME I NEED HELP!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!