50 students are asked whether they like English, History or Geography.3 students like none of them,25 like English,25 like History and 11 like Geography,2 like English and history only,2 like Geography and history only.No student like English and geography. (A) represent the information in a venn diagram (B) use the ven diagram to calculate how many students like all three
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Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.

The graph is given below.

From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.

Then the correct option is A.

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Okay, here we have this:

We need to

Answer:

  55

Step-by-step explanation:

We can use the given relations to write an equation that can be solved for my age 25 years from now.

__

Let x represent my age in 25 years. The age relationships can be summarized as ...

We know 10 years ago my dad was 4 times my age, so we have ...

  4(x -35) = 3x -85

  4x -140 = 3x -85 . . . eliminate parentheses

  x = 55 . . . . . . . . . . . add 140-3x

I will be 55 in 25 years from now.

_____

Additional comment

10 years ago, I was 20 and my dad was 80. Now, I'm 30 and my dad is 90. In 25 years, I'll be 55.

Answer:214

Step-by-step explanation:

428 divided by 2. Half of the pages are even, half of 428 is 214

Answer:

214

Step-by-step explanation:

just divide the number of pages with 2

Step-by-step explanation:

1. 3:4, 6:8, 9,12

So 12:15 is the same thing as 12/15 you need to simplify so 12 devided by 2 is 4 and 15 divided by 3  is 5 so question to is 4:5

the ratio of 3to4 is 7.42069 and 12 to 1362 the others r to hard for my big brain

Step-by-step explanation:

Answer:

± \(\frac{3}{4}\)

Step-by-step explanation:

Given

\(\sqrt{\frac{9}{16} }\) = \(\frac{\sqrt{9} }{\sqrt{16} }\) = ± \(\frac{3}{4}\) ← note plus or minus

Answer:

3/4

Step-by-step explanation:

The square root of 9 is 3 and the square root of 16 is 4 so you get an answer of 3/4.

Hope it helps

Answer:

y= -3/5x - 7 (assuming slope-intercept form)

Step-by-step explanation:

First, we see the slope. The basic template for a slope-intercept question is

y=mx + b

So, we put in -3/5 as "m" in this case, as it is the slope to get y= -3/5x +b

To find b, we can just try out the point that the equation gave us.

-3/5 * -5 = 3

Then, to get to -4 from 3, we need to subtract 7.

Then, we get our whole slope-intercept equation. y=-3/5x - 7

Answer:

The equation is y = 3/5x - 1

Step-by-step explanation:

1. Construct an equation. We can use the slope-point formula to construct an equation from these (y - y₁ = slope * (x - x₁)). If you plug in these values, you'll get the equation y + 4 = -3/5(x +5).

2. Simplify. If you simplify, you'll get that y = 3/5x - 1 by isolating y.

Answer: The equation of the line is y = 3/5x - 1.

x will be equals to 0.18.

Given,

17x = 3

Now to solve for x

x = 3/17

x = 0.176

Approximate the value of x

x = 0.18

Hence option A will be correct.

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Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

We are asked to find the conditional probability that the student is a male given that it's a senior.

Recall that the conditional probability is given by

P(A | B) means that the probability of event A given that event B has already occurred.

Applying it to the given situation,

The probability P(Male and Senior) is given by

Where n(Male and Senior) is the intersection of the row "Male" and the column "Senior" that is 2

n(total) is the grand total of all the students.

Grand total = 4+3+6+4+2+6+2+3 = 30

The probability P(Senior) is given by

Where n(Senior) is the column total of the column "Senior" that is (2 + 3 = 5)

n(total) is the grand total of all the students.

Finally, the probability that the student is a male given that it's a senior is

Therefore, the probability that the student is a male given that it's a senior is 40%

Answer:

She buys 3 pairs from store a.

So divide the 110.25 by 3.

You will get the amount that she spent for each pair.

Change 40% to a decimal which would be .40 then you multiply the amount she spent on each pair ($36.75) by the .40.

You will get 14.7 so you add $14.70 to the amount she spent on each and you will get The original price of each pair was $51.45.

Step-by-step explanation:

Mark as  Brainliest

Answer:

The original price of each pair was $51.45.

Step-by-step explanation:

Mark other guy brainliest

Answer:

The slope is 10. The Y-Intercept is 50.

Step-by-step explanation:

In the word equation, it tells you that you spend $10 A DAY on the latte. The slope can be a rate of change, or how much something changes on a steady basis. That is why 10 is the slope.

Because you start with 50 dollars in your piggy bank, you can imagine that that is the starting point on the graph. Then, you spend 10 per day, which means it is a negative slope. The first point is always the point that intersects the y-axis, otherwise known as the y-intercept. Let me know if you have more questions!

Answer:

slope = -10

y-intercept = 50

y = -10x + 50

Step-by-step explanation:

Let x = number of days

Let y = money in piggy bank

Create 2 ordered pairs from the given information.

initial amount of $50 in piggy bank = (0, 50)

amount in piggy bank after 1 day = (1, 40)

(since 10 is spent each day)

Slope formula:  \(m=\dfrac{\textsf{change in} \ y}{\textsf{change in} \ x}\)

Therefore, \(m=\dfrac{40-50}{1-0}=-10\)

So the slope is -10

y-intercept is where the line crosses the y-axis, so when x = 0.

We already know that y = 50 when x = 0, therefore the y-intercept is 50.

Therefore, the final equation for the line is:  y = -10x + 50

The ways to select the candidates from the total is 28

From the question, we have the following parameters that can be used in our computation:

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = 8C2

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/2!6!

Evaluate

Total = 28

Hence, the number of ways is 28

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The equivalent logarithmic value of the given expression log 3  + log 6 is equal to logarithm of 18.

The expression is equal to,

log 3  + log 6

By using the law of multiplication we have,

Log A + Log B = Log ( A × B )

Using the properties of logarithms, we can simplify the expression and get the equivalent logarithm number ,

Substitute the value of A = 3 and value of B = 6 in the formula we have,

log 3 + log 6

= log (3 × 6)

= log 18

Therefore, the expression log 3 + log 6 is equivalent to the logarithm of 18.

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The graph shows two functions, f(x) and g(x). So, the statements that describe the resulting graph h(x) is point (-2,2) is on h(x)

A graph is described as the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the question above, we have two functions f(x)=x²-2 and g(x)=x²+2 by adding the function we will get the combined function.

The graph that the function is varying from the coordinates (-2,2) is seen on the attached graph.

Therefore, we can conclude that the graph shows two functions, f(x) and g(x). So point (-2,2) is on h(x)

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Answer:

2 is the answer to the question

The supportive statement regarding the trapezoid based on the information is m∠WKT ≅ m∠TRW.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

The non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The missing statement to support all other statements would be that m∠WKT ≅ m∠TRW as the angle formed by the pair of the corresponding sides is equal.

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Answer:

Yes the one you clicked on is the right answer.

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

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Answer:

Exact Form - 7/5

Decimal form - 1.4

Mixed Form 1 2/5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

\(12x - 15 = 6 - 3x\)

Move all x values to one side of the equation, and all constant values to the other side of the equation, and don't forget to flip the signs when going from left to right or vice versa.

\(12 x + 3x = 6 + 15\)

\(15x = 21\)

\(x = \frac{21}{15} = \frac{7}{5} \)

Answer:

213\(\frac{2}{3}\) miles

Step-by-step explanation:

Create an equation and solve for x, where x is the number of miles she can drive

Since 15 cents are charged for every mile, 0.15x can represent the cost from driving. 17.95 will be added to this to represent the base fee.

Then, this will be set equal to 50, since Laura only has $50 to spend

0.15x + 17.95 = 50

0.15x = 32.05

x = 213\(\frac{2}{3}\)

So, Laura can drive a maximum of 213\(\frac{2}{3}\) miles