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frutty [35]
1 year ago
15

There are 7 animals in the barn. Some are chickens and some are oxen. There are 20 legs in all. How many of each animal are ther

e? (Please show all work)
Mathematics
1 answer:
zubka84 [21]1 year ago
5 0

Answer:

4 Chickens, 3 Oxen

Step-by-step explanation:

Given:

  • 7 animals
  • 20 legs total

Known:

  • Chickens have 2 legs
  • Oxens have 4 legs

Solution:

  • 4 Chickens have a total of 8 legs (2 + 2 + 2 + 2)
  • 3 Oxen have a total of 12 legs (4 + 4 + 4)
  • There are a total of 20 legs in total between the chickens and oxens.
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Solve for x. NEED ANSWER ASAP TYY SO MUCH IN ADVANCE
Serjik [45]

Answer:

x = 10√3

Step-by-step explanation:

Because of the right angles, we can use Pythagoras

30² - x² = y²  (a) Largest triangle

y² - 20² = h² (b) Medium triangle

substitute y² from (a) into (b)

30² - x² - 20² = h²

500 - x² = h²  (d)

x² - h² = (30 - 20)² (c) smallest triangle

substitute h² from (d) into (c)

x² - (500 - x²) = 100

2x² = 600

x² = 300

x = 10√3

4 0
3 years ago
What is the area of the composite shape?<br><br> A.14<br> B.24<br> C.36<br> D.68
lyudmila [28]

Answer:

C

Step-by-step explanation:

The top part is 4.5 inches and teh bottom is 27 so it is 36

6 0
2 years ago
Kiyo bought a pizza for $12.75 and four medium drinks at Paola’s pizza. Define a variable and write an expression to represent t
Travka [436]
Y = total amount of money spent
x = cost of one drink

So our expression is:
4x + 12.75

4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.

The problem also asks us to find the total price, so we write an equation:

y = 4x + 12.75
We insert what x is which in this case is $3
y = 4(3) + 12.75
Order of Operations tells us to multiply first:
y = 12 + 12.75
Now add your values:
y = 24.75
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.

Let's check our problem just in case:

24.75 = 4x + 12.75
Since we now know what y is equal to, we can plug that into our original equation and check just to verify

We should subtract 12. on both sides of the equation because of inverse operations:

24.75 - 12.75  = 12.75 - 12.75 + 4x
We are left with:

12 = 4x
We divide:
\frac{12}{4}  =  \frac{4x}{4}
Our result is:
3 = x
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.


4 0
3 years ago
Do the following side lengths form a right triangle? Explain. 18 ft, 23 ft, 29 ft
bekas [8.4K]

Answer:

Explaination:

Step-by-step explanation:

B: yes; 18^2 + 29^2=1165(equal sign with slash) 23^2

4 0
3 years ago
Round to the place of the underlined digit. 340,790 The rounded value of the whole number from the underlined digit is 4th grade
uranmaximum [27]

Answer:300,000

Step-by-step explanation: if the 4 was a 5 or higher then the answer would’ve been 400,00 but since the number next to the underlined digit is 4 then it goes to 300,00. (4 or below leave it alone 5 or above give it a shove)

7 0
3 years ago
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