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Andru [333]
2 years ago
7

The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more

than 20 square feet of space on dry land. If x ducks can be put in the enclosure, which is the simplest inequality that represents this situation?
A.
x < 6
B.
x < 10
C.
x < 15
D.
x < 20
Mathematics
1 answer:
kkurt [141]2 years ago
3 0

Answer:

C GIVE BRAINLIEST PLZZZZ

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a week before election day, 276 out of 450 people said they would vote for the republican candidate. if 15,240 registered voters
Ann [662]

Answer:

(a) \frac {276}{450}=\frac {y}{15240}

(b) We cross multiply the probability by the total voters

(c) 9347

Step-by-step explanation:

(a)

Probability of getting a republican voter is

\frac {276}{450}=\frac {138}{225}=\frac {46}{75}

\frac {276}{450}=\frac {138}{225}=\frac {46}{75}=\frac {y}{15240}

These are found by dividing the first numerator and denominator by 2, then by 3

To make it complete, the situation is therefore defined as \frac {276}{450}=\frac {y}{15240} where y is unknown value

(b)

Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.

(c)

Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields

\frac {46}{75}\times 15240=9347.2\approx 9347

5 0
3 years ago
What type of function is represented in the table?
Brums [2.3K]

Answer: linear

Step-by-step explanation: I'm not too sure if that's the answer

7 0
1 year ago
3. (a) Determine the sum of the interior angles of the polygon below.
marishachu [46]

Answer:

A) 720

B) a=120

Step-by-step explanation:

A) 6 sided polygon interior angle sum is (6-2)*180=720.

B) 90+110+115+160+125+a=720, a=120

7 0
2 years ago
1. Create an expression, containing at least two variables, that can be factored using the sum of two cubes identity.
podryga [215]
Remember that the sum of tow cubes identity is: a^3+b^3=(a+b)(a^2-ab+b^2)
So, to create our expression<span>, containing at least two variables, that can be factored using the sum of two cubes, we just need to replace </span>a and b with tow monomials with a different variable:
a=x and b=y
Lets replace those values in our identity: 
x^3+y^3

Now that we have our expression, lets factor it using the sum of two cubes identity:
x^3+y^3=(x+y)(x^2-xy+y^2)
To verify if the factored form of our expression (right hand side) is equivalent to the original form (left hand side), we are going to expand the right hand side:
x^3+y^3=(x+y)(x^2-xy+y^2)
x^3+y^3=x^3-x^2y+xy^2+x^2y-xy^2+y^3
x^3+y^3=x^3+x^2y-x^2y+xy^2-xy^2+y^3
x^3+y^3=x^3+y^3

Since both sides of the equation are equal, we can conduce that the factored form of our expression is equivalent to the original expression.

8 0
3 years ago
Bob got 84% of the questions on her test correct. If there were 25 questions on the test how many did bob get correct
salantis [7]

Answer:

21 questions

Step-by-step explanation:

84%=.84 so multiply the total questions by 84% aka .84

.84*25=21

5 0
3 years ago
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