Answer:
5 chickens, 20 goats
Step-by-step explanation:
We can set up two equations and use substitution
There are 25 total goats and chickens, so

Goats have 4 feet and chickens have two, so

By solving for G in the first equation,

We can now use substitution,

We have 5 chickens, so we have 20 goats.
Let's double check:

It checks out!
Answer:
The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. Ding A single lap should be completed each time you hear this sound. Ding Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, ding
Step-by-step explanation:
Answer:
0.6875
Step-by-step explanation:
24.5 = 3.2⁴ˣ
To get the exponent out of its exponent form, we need to take the ln of both sides:
ln(24.5) = 4x · ln(3.2) - divide both sides by ln(3.2)
= 4x - divide both sides by 4
x = 0.6875
Answer:
The answer is below
Step-by-step explanation:
She decides the width of the board should be atleast 35% of the length.
Solution:
Let x represent the length of the bulletin board and y be the width of the bulletin board. Since there is 100 inches available, hence:
Perimeter = 2(length + width)
100 = 2(x + y)
x + y = 50
Also, since the width is 35% of the area, hence:
y = 35% of x
y = 0.35x
Since:
x + y = 50
x + 0.35x = 50
1.35x = 50
x = 37.04
x ≅ 38 inches to the next whole number
x + y = 50
y = 50 - 38
y = 12 inches
The bulletin board is 38 inches by 12 inches
Answer:
Step-by-step explanation:
A.
(7^2)^x = 1
(49)^x = 1
thus x = 0
B.
(7^0)^x=1
(1)^x = 1
x can be any real number.