Math help? Anyone? ( 10 pts )

There are 19 animals on the farm which contains hens and goats. There are 68 legs in total. How many goats are there on the farm

Masteriza [31]

Answer: 15 goats

Step-by-step explanation:

h = hens - they have 2 legs

g = goats - they have 4 legs

The equations would be:

h + g = 19

2h + 4g = 68

To solve this, I personally prefer substitution, we're isolating h since we need to find g:

h + g = 19

h = 19 - g

Now that we have h, we can plug this into the second equation:

2h + 4g = 68

2(19 - g) + 4g = 68

38 - 2g + 4g = 68

2g = 30

g = 15

There are 15 goats.

Adding onto this, 19 - 15 = 4, so there are 4 hens.

8 0

3 years ago

Please solve this law of indices question<br>i will mark you as brainlisted

ollegr [7]

Answer:

..

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Part 1:

Delicious77 [7]

Based on the triangle sum theorem and the triangle inequality theorem:

1. B. 23°, 67°, 90°.

2. A. 1 cm, 2 cm, 3 cm.

<h3>What is the Triangle Sum Theorem?</h3>

According to the triangle sum theorem, all three interior angles of any triangle has a sum of 180 degrees.

What is the Triangle Inequality Theorem?

Based on the triangle inequality theorem, one side of a triangle must be less than or equals the sum of any other two sides of the triangle. (a + b ≥ c).

Part 1:

23° + 67° + 90° = 180°, therefore, based on the triangle sum theorem, the set of angle measures that could be the interior angles of a triangle is: B. 23°, 67°, 90°.

Part 2:

1 + 2 = 3

1 + 3 > 2

2 + 3 > 1

Therefore, based on the triangle inequality theorem, the set of side lengths that could be that of the sides of a triangle is: A. 1 cm, 2 cm, 3 cm.

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

#SPJ1

6 0

3 years ago

PLEASE ANSWER!!! Find mZV.<br> (2x + 29)<br> (10x7 - 27)

evablogger [386]

2x+29=10x-27
29=8x-27
56=8x
x=7

2(7)+29=43
10(7)-27=43
360-43(2)=274
274/2=137
measure of V = 137

7 0

3 years ago

How would I solve this

Tresset [83]

Recall your d = rt, or distance = rate * time

the two planes, are 1180 miles apart
say plane A and plane B

two hours later, they pass each other
how long have both been flying by the time they passed each other?
well, 2 hrs
so the time for both is the same, 2

now, one is faster than the other, by 4 miles, say hmmm plane A, doesn't really matter, it could be either... but say A, so if A has a rate of "r",
B will have a rate of r-4, whatever "r" is

now, the distances travelled, say A travelled distance "d", whatever that is,
B, travelled the difference from 1180 and that, or 1180 - d
1180 is the total amount of miles apart, take away "d", and B travelled
1180 - d

thus $\bf \begin{array}{rccclll}
&distance&rate&time(hrs)\\
&-----&-----&-----\\
\textit{first plane}&d&r&2\\
\textit{second plane}&1180-d&r-4&2
\end{array}
\\\\\\
thus\implies 
\begin{cases}
\boxed{d}=(r)(2)\\\\
1180-d=(r-4)(2)\\
--------------\\\\
1180-\boxed{(r)(2)}=(r-4)(2)
\end{cases}$

solve for "r", to see A's rate

how fast was B going? well, r-4

4 0

3 years ago