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MArishka [77]
2 years ago
12

A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are t

here in the field?"
Let c represent the number of cows.

Which equation represents the situation?




c + 2 = 16

2c−2=16

2c + 2 = 16

2(c+2)=16
Mathematics
1 answer:
Murljashka [212]2 years ago
4 0

Answer: 2c + 2 = 16

Step-by-step explanation:

One group has 2 more than the other.

That means in total, they are the same but + 2.

Only 2c + 2 = 16 represents this.

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Which of the following are possible explicit formulas for the nth term of the constant velocity sequence below? Check all that a
oksano4ka [1.4K]
We have an arithmetic progression:
Nth=an
an=a₁+(n-1)d
a₁ is the first term.
n=number of terms.
d=common difference

10,17,24,31...
a₁=10
d=a₂-a₁=17-10=7

Therefore:
Nth=an
an=a₁+(n-1)d
an=10+(n-1)7
an=10+7n-7
an=7n+3.

Therefore: the formula for the nth is, an=a+(n-1), in this case; an=7n+3,

To check:
a₁=7*1+3=10
a₂=7*2+3=17
a₃=7*3+3=24
a₄=7*4+3=31
a₅=7*5+3=38.......
8 0
2 years ago
Geometry: Line QS bisects angle PQR. Solve for x and find the measure of angle PQR.
Kazeer [188]

It is given in the question that,

Line QS bisects angle PQR. Solve for x and find the measure of angle PQR.

And

m \angle PQS = 2x+1
\\
m \angle RQS = 4x-15

Since QS bisects angle PQR, therefore

m \angle PQS = m \angle RQS

Substituting the values, we will get

2x+1=4x-15
\\
1+15 = 4x-2x
\\
2x = 16
\\
x = 8

6 0
2 years ago
Read 2 more answers
What is the surface area of the pyramid? 12ft 10ft 10ft
jonny [76]

Answer:

2h x (l+b)

2x10 X (12+10)

20 X 22

44 cm cube is your answer...

3 0
2 years ago
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The stem-and-leaf plot shows the temperatures of patients who registered at a clinic one day. How many patients registered at th
saveliy_v [14]

As the key suggests, the left part is the integer part of the number, while the digit on the right is the decimal part of the number.

So, for example, the first row describes the two values 97.2 and 97.8, while the second row describes the values 98.1, 98.3 (repeated twice), 98.5, 98.6 and 98.7 (repeater three times).

So, the number of values is given by the number of leaves: you simply have to count how many digits are there on the right part of the screen.

The answer is thus 24

5 0
2 years ago
If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to
lara [203]

Answer: If Ana produce more furge and Leo produce more toffee.

Step-by-step explanation:

Comparative advantage: A country or a person has a comparative advantage in producing a commodity if the opportunity cost of producing that commodity is lower in that country as compared to the other country.

Here Ana or Leo will gain comparative advantage only when they are selling the good they are specializing in and they would specialize in that good which would have lower opportunity cost for them.

(a) For Ana who devoted all of her time to making either 3 pounds of fudge or 2 pounds of toffee,

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the opportunity cost for making 1 pound of toffee is = 3/2 = 1.5

(b) For Leo who devoted all of her time to making either 4 pounds of fudge or 5 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 5/4 = 1.25

the opportunity cost for making 1 pound of toffee is = 4/5 = 0.8

Above calculations clearly shows that Ana has a comparative advantage in producing furge because opportunity cost of making furge is lower than the Leo, so he devotes most of his time to produce furge.

Whereas Leo has a comparative advantage in producing Toffee because opportunity cost of making toffee is lower than the Ana, so he devotes most of his time to produce toffee.

7 0
2 years ago
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