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3 years ago

In Mrs Phillips math class the ratio of boys to girls is 4 to 2. If there are 51 girls in math class, how many boys are there?

1 answer:

7 0

So for every two girls, there's four boys. There are twice as many boys than girls, so the number of girls • 2 = your answer.

51 • 2 = 102

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Find the distance between the two points rounding to the nearest tenth (if necessary).

QveST [7]

The distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.

As per the question statement, two points having coordinates (4, -4) and

(9, -2) plotted on the cartesian plane.

We are required to calculate the distance between the above mentioned two points, rounded to the nearest tenth.

To solve this question, we need to know the Distance-formula which goes as,

"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by √[(x₂ - x₁)² + (y₂ - y₁)²]"

Assuming that [(x₁, y₁) = (4, -4)] and [(x₂, y₂) = (9, -2)], and substituting these values in the above-mentioned distance formula, we get,

√[(9 - 4)² + {(-2) - (-4)}²]

= √[(9 - 4)² + {(-2) + 4}²]

= √[(9 - 4)² + (4 - 2)²]

=√[(5)² + (2)²]

=√(25 + 4)

=√29

= 5.38 units.

Therefore, rounding (5.38) to the nearest tenth, we get, 5.40.

That is, the distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.

Distance: In Mathematics, physics or daily life, distance is a numerical or occasionally qualitative measurement of how far objects or points are from each other.
Coordinates: In geometry, coordinates are a pair of numbers that can uniquely determine the position of points or other geometric elements on a Euclidean or Cartesian Plane.

To learn more about Distances and Coordinates, click on the link below.

brainly.com/question/14364020

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5 0

1 year ago

Covert the fraction 1/9 into a repeating decimal

andrew11 [14]

Answer:

your answer is 0.111111....

Step-by-step explanation:

hope it helps

3 0

2 years ago

Read 2 more answers

1. Is the number 0.555, rational or irrational?

antoniya [11.8K]

Rational hope this helps

6 0

3 years ago

What is the cost of operating a 3.00-w electric clock for a year if the cost of electricity is $0.0900 per kw · h ?

brilliants [131]

We must take into account the following change of units:
$1kw = 1000w

1 year = 365 days

1 day = 24 hours$
Applying the change of units we have that the electric consumption for 1 year is given by:
$(3) * (1/1000) * (365) * (24) = 26.28 kw * h
$
Then, the total cost is given by:
$(26.28) * (0.0900) = 2.3652
$
Answer:
the cost of operating a 3.00-w electric clock for a year is:
$ 2.3652

8 0

3 years ago

Write each statement as an algebraic expression.

12345 [234]

Just go through it phrase by phrase by phrase - one step at a time.

2*( )
2*(x - 7)
$\frac{2*(x - y)}{5*x*y}$

6 0

3 years ago