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docker41 [41]
3 years ago
15

Which of the following is the quotient of the rational

Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

It is A

Step-by-step explanation:

We you divide, you multiply the reporical of the second term for example when I say

2 \div 3

I also mean

2 \times  \frac{1}{3}

So it is the same concept but in more complicated way

\frac{4x}{2x - 1}  \div  \frac{3x + 2}{x + 5}

You flip the second term

\frac{4x}{2x - 1}   \times  \frac{x + 5}{3x + 2}

Then you multiply the numerator and you will get

4x {}^{2}  + 20x

Which is found in A,but you will need to multiply the denominator in case if the choices have the same numerator

The denominator. Equals to

6x ^{2}  + x - 2

You might be interested in
the perimeter of a rectangular garden is 84 feet. write and solve the system of equations that can be used to find the dimension
scoray [572]

Answer:

The length is 22.5 and the width is 19.5

Step-by-step explanation:

          2L + 2W = P

                     \/

          2L + 2W = 84

                     \/

W + 3 + W + 3 + W + W= 84

                     \/

          4W + 6 = 84

                     \/

                4W = 78

                     \/

     W = 19.5      L = 19.5 + 3 = 22.5

I hope this helps, have a nice day! :D

6 0
2 years ago
Determine whether the variable is qualitative or quantitative. Explain your reasoning. The price of a new computer.
Levart [38]

Answer:

The price of a new computer is quantitative.

Step-by-step explanation:

A variable can be classified as qualitative or quantitative.

Qualitative:

When the possible values of the variables are labels, for example, good or bad, yes or no,...

Quantitative:

When the possible values of the variables are numbers, for example 1, 2, 1000,....

In this question:

The price of a computer is a numeric value, so it is a quantitative variable.

6 0
3 years ago
Sierra applies a coat of epoxy paint to the four sides and floor of a rectangular swimming pool. The pool is 4 feet deep, 18 fee
Brilliant_brown [7]

Answer:

4 gallons of paint

Step-by-step explanation:

We solve using the formula for surface area of rectangular prism.

A=2(wl+hl+hw)

Where:

w = Width

h = Height

l = Length

The pool is 4 feet deep, 18 feet long, and 12 feet wide.

Hence,

=2 × (12 × 18 + 4 × 18 + 4 ×12)

=672 square feet

One gallon of paint covers 155 square feet.

Hence,

155 square feet = 1 gallon of paint

672 square feet = x

Cross Multiply

155 square feet × x = 672 square feet × 1 gallon of paint

x = 672 square feet × 1 gallon of paint/ 155 square feet

x = 4.335483871 gallons of paint

Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint

4 0
3 years ago
In the circle below, suppose m FEH=272º and m EFG=116º. Find the following.​
adoni [48]

Answer:

m∠FEH = 44°

m∠EHG =  64°

Step-by-step explanation:

1) The given information are;

The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°

Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°

Therefore, angle subtended by arc ∠HGF at the center = 88°

The angle subtended by arc ∠HGF at the circumference = m∠FEH

∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠FEH = 44°

2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°

The sum of angles in a quadrilateral = 360°

Therefore;

m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)

m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°

m∠EHG =  64°.

5 0
3 years ago
Brainiest for correct answer
yarga [219]

Answer:

angle a = 104 degrees, angle b = angle c = 123 degrees

Step-by-step explanation:

angle c = 180 - 57

angle c = 123 degrees

angle a = 180 - 76

angle a = 104 degrees

angle b = 180 - 57

angle b = 123 degrees

3 0
2 years ago
Read 2 more answers
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