Jorge swam a total of 173 minutes during 3 days. He swam the same number of
minutes each day, Which of the following is the best estimate of the number of
minutes Jorge swam each day?
o
60
40
20
30

Answer:

4567

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is just a matter of adding 2 fractions and reducing the result

Givens

f1 = 3/12

f2 = 1/12

Equation

Answer = f1 + f2

Solution

answer = 3/12 + 1/12

The denominators are the same. The answer will have the same denominator

Answer = (3 + 1)/12

Answer = 4 / 12

The answer has a common factor in both the top and bottom of the fraction (4 is the common factor).

Therefore divide the top and bottom by 4

Answer = 4/4 // 12/4

Answer = 1 / 3

Answer:

no your answer is correct :)

Answer: To calculate the expected value, we need to multiply each possible outcome by its probability and then add up the results.

The probability of selecting a gold marble is 3/41, the probability of selecting a silver marble is 8/41, and the probability of selecting a black marble is 30/41.

The winnings/losses associated with each outcome are $3 for gold, $2 for silver, and -$1 for black.

Step-by-step explanation:

Therefore, the expected value can be calculated as follows:

(3/41) x $3 + (8/41) x $2 + (30/41) x (-$1)

= $0.073

The expected value is $0.073, which means that on average, you can expect to win $0.073 per game if you play this game many times.

Therefore, if you play this game, you can expect to win a small amount of money on average, but it is not a guaranteed win.

References:

Grinstead, C.M. and Snell, J.L. (2006). Introduction to Probability. American Mathematical Society.

"Expected Value," Investopedia, accessed May 14, 2023, https://www.investopedia.com/terms/e/expectedvalue.asp.

The cost of covering the felt with glitter is $3,317.60.

The cost of the outdoor carpeting to cover the patio is $240.

The first step is to determine the area of the parallelogram. A parallelogram is quadrilateral that has two pairs of parallel sides. The opposite sides equal in length

Area = base x height

52 x 58 = 3,016 in²

Cost of covering the felt = cost of the glitter per feet  are of the felt

$1.10 x 3,016 = $3,317.60

A trapezoid is a shape that has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Area of a trapezoid =   1/2 x (sum of the lengths of the parallel sides) x height

Area of a trapezoid =   1/2 x (19 + 13) x 10

Area of a trapezoid =  1/2 x 32 x 10 = 160 ft²

Cost of the outdoor carpeting =cost per square feet x area of the patio

$1.50 x 160 = $240

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is it me or is the photo not showing?

Answer:

no photo lol

Step-by-step explanation:

The total number of staff members invited to the meeting is 13 (teaching staff) + 3 (non-teaching staff) = 16 staff members.

If 13/16 of the staff members are teaching staff, it means that out of every 16 staff members, 13 are teaching staff members.

Let's calculate the total number of staff members invited to the meeting:

If we have 16 staff members, and 13 of them are teaching staff, then the number of non-teaching staff members is 16 - 13 = 3.

Since the meeting is for all the teaching staff, we invite all the 13 teaching staff members.

Therefore, the total number of staff members invited to the meeting is 13 (teaching staff) + 3 (non-teaching staff) = 16 staff members.

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Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

\(y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x\)

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

\(y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12\)

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

\(y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x\)

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

\(y=-4}x\\ 4=-4x\\x=-1\)

Answer:

(-1, 0) and (8, 9)

Step-by-step explanation:

x² - 6x-7 = x + 1

x² - 7x - 8 = 0

(x - 8)(x + 1) = 0

x = -1, 8.

When x = - 1, y = 0

and x = 8, y = 9

Hey there!

2 3/4 * 3 1/4

≈ 11/4 * 13/4

≈ 11(13) / 4(4)

≈ 143/16

≈ 8 15/16

Thus, the answer should be: 8 15/16

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Solution:

To multiply fractions, convert each mixed fractions to an improper fraction.

Next step is to multiply numerator to numerator and denominator to denominator. Reduce if possible.

We reduce 8 15/16 to 8 1/8 because 8 15/16 is not in the choices.

Answer:

Wxndy~~

Answer:

A. 480

Step-by-step explanation:

its a right triangle

Answer: D) The linear model shows a strong fit to the data

The actual strength of the relationship is unknown unless we have the actual values of each data point (so we can compute the correlation coefficient r), but the residuals are randomly scattered about both above and below the horizontal axis. This means we have a fairly good linear fit. If all of the points were above the line, or all below the line, or all residuals fit a certain pattern (eg: parabola), then it wouldn't be a good linear fit.

Answer:

Shade 6 slices of the pie.

Step-by-step explanation:

The pie is cut into 10 equal slices.

We are to shade \(\frac{3}{5}\)  of the pie.

\(\frac{3}{5}\) of 10 slices = how many slices?

Multiplying gives;

\(\frac{3}{5} * 10 = 6\) slices.

So you shade 6 slices of the pie and leave the other 4 slices unshaded.

━━━━━━━☆☆━━━━━━━

▹ Answer

1/2k - 3/5

▹ Step-by-Step Explanation

2/5k - 3/5 + 1/10k

Collect like terms:

2/5k + 1/10k = 1/2

Final Answer:

1/2k - 3/5

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

1/2k - 3/5

Step-by-step explanation:

Hey there!

Well the only fraction needed to combine are,

2/5 and 1/10.

To add them we need to make 2/5 have a denominator of 10.

To do that we multiply 5 by 2.

5*2 = 10

What happens to the denominator happens to the denominator.

2*2 = 4

Fraction - 4/10

4/10 + 1/10 = 5/10

5/10

simplified

1/2

1/2k - 3/5

Hope this helps :)

Answer:-9 to the fourth power is -6561

Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.

Please give brainliest if right.

Answer:

-6561

Step-by-step explanation:

\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)

Answer:

90 in^2

Step-by-step explanation:

Answer:

The number has two digits. The sum of the digits is eight. If the digits are reversed, the results is 18 less than the original number. The answer of your question is 35. !!! ;)

Answer:

-1.375

Step-by-step explanation:

Answer:

To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the Greatest Common Factor (GCF or GCD). For example, 2/3 is in lowest form, but 4/6 is not in lowest form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3.

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

slope: 2/1

Y- intercept:1

equation: y= 2x+1

The assumption Ethan made was correct

What is Fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Ethan said that the result of 10 and 4.07 is 40.7, thus we must verify that his computation is accurate.

In order to do such, we must multiply 10 by 4.07 as illustrated below:

= 10 x 4.07

= 10 x 407/100

= 4070/100

= 40.70

Since the outcome matches Ethan's hypothesis,

The conclusion is valid.

Hence, The result of Ethan is correct

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The equation that represents the table, in slope-intercept form, is expressed as: y = 5x.

To write the equation of the table, find the slope (m) and the y-intercept (b), and express the equation as y = mx + b.

Let x represent time (min) and y represent water used (gal).

Slope (m) = change in y / change in x = 10 - 5 / 2 - 1 = 5/1

Slope (m) = 5

Find the y-intercept (b) by substituting m = 5 and (x, y) = (1, 5) into y = mx + b:

5 = 5(1) + b

5 - 5 = b

b = 0

Substitute m = 5 and b = 0 into y = mx + b:

y = 5x + 0

y = 5x

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y-(-9) = -6(x-(-4)), y = -6x-33

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

ANSWER :

n = 44

EXPLANATION :

From the problem, let n be the unknown number.

the number (n) is 44% of 100

Note that 44% can be written as 0.44

So that will be :

Given : ABCD is a square with each side 5cm .

To Find : The area of the shaded region .

Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .

If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.

Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;

\(\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}\)

Here radius will be equal to 5cm .

⇒ Area = πr² / 4 .

⇒ Area = π (5cm)² / 4 .

⇒ Area = 22/7 × 25 × 4 cm².

⇒ Area = 19.64 cm² .

So , total area of both quadrants = 39.28 cm² .

Also , area of square will be :

\(\large\boxed{\bf{\red{Area_{square}=(side)^2}}}\)

⇒ Area = 5cm × 5cm .

⇒ Area = 25 cm².

Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².

Similarly area of other white region = 5.36cm² .

And the areas sum will be = 5.36cm² × 2 = 10.72cm² .

Now , from the figure it's clear that ,

⇒ Area of unshaded region + Area of shaded region = 25cm².

⇒ 10.72cm² + ar( Shaded region ) = 25cm².

⇒ ar ( Shaded region ) = 25cm² - 10.72cm².

⇒ ar ( Shaded region ) = 14.28 cm².

Hence the area of shaded region is 14.28 cm².

\(\large\boxed{\red{\bf Answer = 14.28cm^2}}\)

Answer:

\(\boxed{\sf C. \ 6.6 \ units}\)

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve.

\(\sf cos(\theta)=\frac{adjacent}{hypotenuse}\)

\(\sf cos(35)=\frac{MO}{8}\)

\(\sf 8 \ cos(35)=MO\)

\(\sf 6.55321635...=MO\)

Answer:

  (a)  $479.50

Step-by-step explanation:

You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.

Apparently, the cost of the non-bedroom area is to be split evenly. That common area is ...

  1225 ft² -(150 +130) ft² = 945 ft²

Then the proportion due from the occupant of the smaller bedroom is ...

  (945/2 +130)/1225 = 241/490 ≈ 0.49184

That fraction of the rent is ...

  0.49184 · $975 = $479.54

The nearest answer choice is $479.50.

__

Additional comment

If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.

We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)

Answer:

Step-by-step explanation:

To show that a² + b² = p² + q², we can start by squaring the given equations and adding them together:

(a sin θ - b cos θ)² + (a cos θ - b sin θ)² = p² + q²

Expanding the squared terms:

(a² sin² θ - 2ab sin θ cos θ + b² cos² θ) + (a² cos² θ - 2ab sin θ cos θ + b² sin² θ) = p² + q²

Combining like terms:

a² sin² θ + a² cos² θ + b² sin² θ + b² cos² θ - 2ab sin θ cos θ - 2ab sin θ cos θ = p² + q²

Using the trigonometric identity sin² θ + cos² θ = 1:

a² + b² - 2ab sin θ cos θ - 2ab sin θ cos θ = p² + q²

Rearranging and factoring out a common factor of 2ab:

(a² + b² - 2ab sin θ cos θ - 2ab sin θ cos θ) = p² + q²

2ab (1 - sin θ cos θ - sin θ cos θ) = p² + q²

2ab (1 - 2 sin θ cos θ) = p² + q²

Using the trigonometric identity 2 sin θ cos θ = sin 2θ:

2ab (1 - sin 2θ) = p² + q²

2ab - 2ab sin 2θ = p² + q²

2ab(1 - sin 2θ) = p² + q²

Since 1 - sin 2θ = cos 2θ:

2ab cos 2θ = p² + q²

Dividing both sides by 2ab:

cos 2θ = (p² + q²) / (2ab)

Using the double angle formula for cosine: cos 2θ = 2cos² θ - 1:

2cos² θ - 1 = (p² + q²) / (2ab)

Rearranging and simplifying:

2cos² θ = (p² + q²) / (2ab) + 1

2cos² θ = (p² + q² + 2ab) / (2ab)

Dividing both sides by 2:

cos² θ = (p² + q² + 2ab) / (4ab)

Using the Pythagorean identity sin² θ + cos² θ = 1, we have:

sin² θ = 1 - cos² θ

sin² θ = 1 - (p² + q² + 2ab) / (4ab)

Rearranging and simplifying:

4ab sin² θ = 4ab - p² - q² - 2ab

4ab sin² θ = 2ab - p² - q²

Multiplying both sides by a² + b²:

4ab (a² + b²) sin² θ = (2ab - p² - q²) (a² + b²)

Expanding both sides:

4a³b sin² θ + 4ab³ sin² θ = 2a³b - p²a² - q²a² - 2ab

Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

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