Answer:
A. x=1, y=3
Step-by-step explanation:
2x+y= 5
2(1) + 3 = 5
2+3=5
x+y=4
1+3=4
Answer:
50√3 ≈ 86.6 m
Step-by-step explanation:
The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.
The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...
Sin = Opposite/Hypotenuse
sin(60°) = (kite height)/(100 m)
kite height = (100 m)·sin(60°) = (100 m)(√3)/2
kite height = 50√3 m ≈ 86.6 m
Answer:
23/3 cubic units
Step-by-step explanation:
The volume of a prism is the product of its base area and it height:
V = (23/4 units^2)(4/3 units) = (4·23)/(4·3) units^3 = 23/3 units^3
Answer:
- <u>The farmer bought 170 animals of each species</u>.
Step-by-step explanation:
The translation of the question into English is:
<em>"a farmer bought the same number of calves and cows for 476,000. He/she paid 800 for a calf and 2000 for a cow, how many animals of each species did he/she buy?"</em>
<em />
<h2>Solution to the problem</h2>
<u>1. Choose the variable's name and translate the verbal statements into algebraic expressions:</u>
- a) number of calves or cows: x
- b) He/she paid 800 for a calf: 800x
- c) He/she paid 2,000 for a cow: 2000x
- d) For 476,00: 800x + 2000x = 476,000 . . . . this is your equation
<u />
<u>2. Solve the equation:</u>
<u>a) Write the equation:</u>

<u>b) Add like terms:</u>

<u>c) Use division property of equalities: divide both sides by 800:</u>

<u>d) Translate the solution into a verbal statement:</u>
Since x represents both the number of calves and the number of cows, the answer is:
- <u>The farmer bought 170 animals of each species</u>.
Answer:
a
Step-by-step explanation:
dont have a rectangler prism.