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3 years ago

1

Mathematics

2 answers:

Leokris [45]3 years ago

4 0

Answer:

$Total = 104\ hrs$

Step-by-step explanation:

Given

$Monday = 15\ hrs$

$Tuesday = 13\ hrs$

$Wednesday = 24\ hrs$

Required

Determine the hours of practice over 6 days

First, we calculate the hours for the given 3 days.

$Hours = Monday + Tuesday + Wednesday$

$Hours = 15\ hrs + 13\ hrs + 24\ hrs$

$Hours = 52\ hrs$

The hours of practice for the other three days is also 52 hours.

So, the total is:

$Total = 52\ hrs + 52\ hrs$

$Total = 104\ hrs$

Marat540 [252]3 years ago

4 0

Answer:

104

Step-by-step explanation:

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On a certain hot summer's day, 643 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for

lilavasa [31]

249 children and 394 adults swam at the public pool.

Step-by-step explanation:

Number of people swam at pool = 643

Receipts = $1161.50

Cost for one child = $1.50

Cost for one adult = $2.00

Let,

x be the number of children

y be the number of adults

According to given statement;

x+y=643 Eqn 1

1.50x+2.00y = 1161.50 Eqn 2

Multiplying Eqn 1 by 2

$2(x+y=643)\\2x+2y=1286\ \ \ Eqn\ 3\\$

Subtracting Eqn 2 from Eqn 3

$(2x+2y)-(1.50x+2.00y)=1286-1161.50\\2x+2y-1.50x-2.00y=124.50\\0.5x=124.50$

Dividing both sides by 0.5

$\frac{0.5x}{0.5}=\frac{124.50}{0.5}\\x=249$

Putting x=249 in Eqn 1

$249+y=643\\y=643-249\\y=394$

249 children and 394 adults swam at the public pool.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago

Look at the picture below/above

DedPeter [7]

Answer:

x=32

Step-by-step explanation:

x/4=8

4(x/4=8)

x=32

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3 years ago

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The test scores of a geometry class are given below.

Artyom0805 [142]

Variance is given by s^2 = [summation (x - mean)^2] / n.
mean = (90 + 75 + 72 + 88 + 85) / 5 = 82
Variance = [(90 - 82)^2 + (75 - 82)^2 + (72 - 82)^2 + (88 - 82)^2 + (85 - 82)] / 5
= [8^2 + (-7)^2 + (-10)^2 + 6^2 + 3^2] / 5
= (64 + 49 + 100 + 36 + 9] / 5
= 258 / 5
Therefore, the value of the numerator of the calculation of the variance of the data set is 258.

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3 years ago

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If f(n) = n2 - 2n, which of the following options are correct? Select all that apply. f(2) = 0 f(1) = 3 f(-4) = 24 f(5) = 35 f(-

iren [92.7K]

Answer:

f(2)=0

f(-4)=24

Step-by-step explanation:

We are given

f(n)=n^2-2n

We are asked which of the following are true?

f(2)=0

f(1)=3

f(-4)=24

f(5)=35

f(-2)=0

Let's start with f(2)=0.

f(2)=2^2-2(2)

f(2)=4-4

f(2)=0

So f(2)=0 is true.

Moving on to f(1)=3.

f(1)=1^2-2(1)

f(1)=1-2

f(1)=-1

So f(1)=3 is false.

Now for f(-4)=24.

f(-4)=(-4)^2-2(-4)

f(-4)=16+8

f(-4)=24

So f(-4)=24 is true.

f(5)=35?

f(5)=5^2-2(5)

f(5)=25-10

f(5)=15

So f(5)=35 is false.

Finally f(-2)=0.

f(-2)=(-2)^2-2(-2)

f(-2)=4+4

f(-2)=8

So f(-2)=0 is false.

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3 years ago

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Solve x2 − 10x = −21. (6 points)

Svetllana [295]

The CORRECT answer is::

x = -3 and x = -7

WORK::

Move ALL terms to the left side and set equal to zero. Then set each factor equal to zero.

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3 years ago

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