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3 years ago

The ratio of the number of boys to the number of girls in the math club is 4 to 3.

Mathematics

1 answer:

RoseWind [281]3 years ago

8 0

Answer:

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Step-by-step explanation:

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You might be interested in

1) What is the area of a circular pizza pie with a diameter of 12 inches?

AfilCa [17]

Answer:

A≈113.1

Step-by-step explanation:

A=1

4πd2=1

4·π·122≈113.09734

3 0

3 years ago

The frigate bird has a top recorded speed of 153 kilometers per hour. How would you state this speed in the appropriate customar

jarptica [38.1K]

Answer:

94.86 miles per hour

Step-by-step explanation:

The frigate bird has a top recorded speed of 153 kilometers per hour. How would you state this speed in the appropriate customary unit? (1 km = 0.62 mi)

The appropriate customary unit is calculated as:

1 km = 0.62 miles

153 km = x

Cross Multiply

x = 153 × 0.62 miles

94.86 miles

Therefore, the appropriate customary unit is 94.86 miles per hour

3 0

3 years ago

Write in factored form:

Katyanochek1 [597]

Answer:

( 3x + 5 ) ( x - 4 )

Step-by-step explanation:

1.) Factors of 20 = (1,20) (2,10) and (4,5)

2.) ( 3x + 5 ) ( x - 4 )

3.) 3x - 12x + 5x - 20 = 0

4.) 3x^2 + 7x - 20 = 0

4 0

3 years ago

Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p

zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

Statement 1: "The pen is 3 feet wider than it is long"

$Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3$

------

Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"

$Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y$

------

Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."

$Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\$

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Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."

$Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\$