Even out of 8 tudent urveyed own a bike. The difference between the number of tudent who own a bike and thoe who dont i 72. How many tudent were urveyed?

Answers

Answer 1

The number of students that were surveyed where 7 out 8 students own a bike is equal to 96.

Let the number of students surveyed be [tex]x[/tex] .

According to the question,

When 8 students were surveyed 7 owned a bike. So, when [tex]x[/tex] students were surveyed,

               Number of students who own bikes = [tex]\frac{7}{8} x[/tex]

                Number of students who don't own bike = [tex]\frac{1}{8} x[/tex]

 In question, it is given that:

                             [tex]\frac{7}{8} x - \frac{1}{8}x = 72\\\\\frac{6}{8} x = 72\\\\6x = 576\\x= 96[/tex]

Hence, the number of students that were surveyed is 96.

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Related Questions

If PQRS is a rectangle, ST = 12, and mzPRS = 23°, find each measure.

SQ =
PT =
measurement of angle QPR =

Answers

Answer:

SQ = 24

PT = 12

<QPR = 23°

Step-by-step explanation:

SQ= 12+12=24

PT=12

<PRS is alternate to <QPR

<QPR=23°

How do you solve log2 value?.

Answers

The value of log 2 to the base 10 is  0.3010.

                 [tex]log_1_02[/tex] = 0.3010.

Now, According to the question:

The value of log 2, to the base 10, is 0.301. The log function or logarithm function is used in most mathematical problems that hold the exponential functions. Log functions are used to eliminate the exponential functions when the equation includes exponential values.

The logarithmic function is defined by:

                    if [tex]log_ab[/tex]= x, then [tex]a^x[/tex] = b.

Where,

x is the logarithm of a number ‘b.’

‘a’ is the base of the log function.

Now,

Let us discuss how to find the value of log 2 using a common log function and natural log function.

Value of  [tex]log_1_02[/tex]

The log function of 2 to the base 10 is denoted by “ [tex]log_1_02[/tex]”.

According to the definition of the logarithmic function,

Base, a = 10 and [tex]10^x[/tex]= b

With the use of logarithm table, the value of log 2 to the base 10 is given by 0.3010.

                 [tex]log_1_02[/tex] = 0.3010

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What is the value of f/g )( 5 )?.

Answers

Answer:270

Step-by-step explanation:

We have to find (f/g)(5). Therefore, (f/g)(5) is 270.

Which jam recipe has more strawberry flavor?
Recipe A
3 cups strawberries
1/2 cup sugar
Recipe B
5 cups strawberries
1 cup sugar Help please

Answers

The jam recipe that has more strawberry flavor is Recipe A.

Which recipe has more strawberry flavor?

In order to determine which recipe has more strawberry flavor, determine how many cups of strawberry is needed for one cup of sugar. In order to do this, divide the cups of strawberry by the cups of sugar.

Cups of strawberry needed for one cup of sugar = cups of strawberry / cups of sugar

Cups of strawberry needed for one cup of sugar in recipe A = 3 ÷ 1/2

3 x 2 = 6  

Cups of strawberry needed for one cup of sugar in recipe B = 5 ÷ 1 = 5

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Determine whether the next pair of triangles is similar. If the triangles are similar, give a reason: write AA, SSS, or SAS.

Answers

The two triangles in this problem are similar, and the reason for their similarity is given as follows: AA.

What are similar triangles?

Similar triangles are triangle that share these following two features:

Congruent angle measures.Proportional side lengths.

The two right triangles in this problem are similar, as they have two common angle measures, given as follows:

The right angle.The angle at the bottom left of the image.

As the angles have two common angle measures, the reason is given as follows:

AA.

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In February, the amount of snowfall was 225 feet. In March, the amount of snowfall was 513 feet. What was the amount of snowfall in the two months combined? Write your answer as a mixed number in simplest form.

Answers

Answer:738

Step-by-step explanation:

URGENT PLS ANSWER ASAP THANKS!

Answers

The true statement is "No, you cannot prove that the two right triangles are congruent with the information given."

How to determine the true statement

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

Sidewalk A and Sidewalk B intersect at a right angle. Sidewalk B extends 500 feet on either side of the intersection with Sidewalk A.

As a general rule, congruent triangles would have same dimensions and angles

In the scenario, we understand that Sidewalk B and Sidewalk A form a right angle.

This and the other information does not provide information to determine the congruency because the lengths of the sides of either triangle or the angles are missing.

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Which player is the median?

Answers

Joajkim Noah is your median!
The minimum is 3,000,000.
Q1 is 4,059,000.
Q3 is 15,300,000.
The maximum is 17632688.

During an experiment, 456 g of carbon dioxide is produced. What is the mass of carbon dioxide in kg?

Answers

Answer:

0.456 kg

Step-by-step explanation:

1 decimal place. (2 marks) In a 4x400m relay competition, a team of athletes each completed their round in 45 sec. 43 sec. 44 sec and 45 sec respectively. If the race started at 1:35:31 p.m., find the time when the team completed the race. (3 marks)​

Answers

I’m a teacher for hight school if I was to give u the answer 5.6

Determine how (if possible) the triangles can be proved similar.
A) AA~
B) SSS~
C) SAS~
D) Not similar

Answers

the triangles can be proved similar by AA congruence.

What is congruent of the triangle?

The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.

Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."

As both the triangles are right angle so the left side triangle the angles are 90, 54 and 38.

Similarly for the right-sided triangle again the angles are 90, 54 and 38.

Hence the triangles can be proved similar by AA congruence.

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Answer:

AA

Step-by-step explanation:

yes

The box-and-whisker plot below represents some data set. What is the value of the median?

Answers

150

The median is where the line inside the box sits.  That's the halfway point between all of the data.  (Halfway in terms of "if you line everything up and it's the data point in the middle.")

Can anyone help me with this pls..?

Answers

The expression (3z⁴)² is equivalent to 9z⁸

What is an equation?

An equation is an expression showing the relationship between numbers and variables.

The law of exponents states that raising a number with an exponent is equal to multiplying the exponent times the power. It is given as:

(xᵃ)ᵇ = xᵃᵇ

Given that:

(3z⁴)²

Applying the law of exponents:

= (3)²(z⁴)²

= 9z⁸

(3z⁴)² is equal to 9z⁸

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Find the quotient of - 62"y' + 12x2?
15zy - 15 divided by
-3

Answers

The quotient of the expression -6x²y + 12x² + 15zy - 15 divided by -3 is 2x²y - 4x² - 5zy + 5

How to determine the quotient

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

quotient of  -62"y' + 12x2? 15zy - 15 divided by -3

Express properly

So, we have

-6x²y + 12x² + 15zy - 15 divided by -3

To solve this question, we simply divide each term of the expression by -3

So, we have the following representation

(-6x²y + 12x² + 15zy - 15)/-3

Evaluate the quotient

2x²y - 4x² - 5zy + 5

Hence, the solution is 2x²y - 4x² - 5zy + 5

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IS
√21 A
RATIONAL
NUMBER? PLEASE
EXPLAIN
CLEARLY WHY IT
EITHER IS OR
ISN'T.

Answers

Answer:

√21 is irrational

Step-by-step explanation:

√21 = 4.58257569495584 which is a non-terminating decimal.

Therefore √21 is irrational.

Answer: No, it cannot be a rational number.

Step-by-step explanation:

A rational number is defined to be a whole number (ex. 1, 2, 3) or can be decimals that continuously repeat the digits after the point. In the case of a square root, they can be rational--but this only applies to perfect squares: √100, √64, √16, etc, which would give an outcome of a whole number. Therefore, √21 is not a rational number, as the decimal value is 4.57257, and is not continuous (ex. 3.666666).

The length of a rectangular prism is 2 more than three times the width w. The volume of the prism is 3w^3+14w^2+8w.[tex]3w^{3} +14w^{2} +8w[/tex] What is a simplified expression for the height of the​ prism?

Answers

The volume of a rectangular prism is given by the product of its length, width, and height, which is V = l * w * h, where l is the length, w is the width, and h is the height.

We are given that the volume of the prism is 3w^3 + 14w^2 + 8w. We can use this information to find the height of the prism by dividing the volume by the product of the length and width.

We know that the length of the prism is 2 more than three times the width (l = 3w + 2). Therefore, the product of the length and width is l*w = (3w + 2) * w = 3w^2 + 2w

Now we can divide the volume by the product of the length and width to find the height of the prism:

V / (l * w) = (3w^3 + 14w^2 + 8w) / (3w^2 + 2w) = 3w + 14 + 8/3w^2 + 2w

So, the height of the prism is 3w + 14 + 8/3w^2 + 2w

Which is a simplified expression for the height of the prism, in terms of the width.

What is the angle measure of each interior angle of a regular polygon with 42 sides?.

Answers

The interior angle measurement of a regular polygon with 42 sides is 150 degrees.

The interior angle measure of a regular polygon is determined by the formula (n-2)*180/n, where n is the number of sides of the polygon. In the case of a regular polygon with 42 sides, this formula can be expressed as (42-2)*180/42, which simplifies to 150 degrees. Therefore, the interior angle measure of a regular polygon with 42 sides is 150 degrees. This means that each interior angle of the polygon is 150 degrees. The exterior angle measure of a regular polygon with 42 sides would be 10 degrees, which can be calculated by subtracting the interior angle measure from 180 degrees. Knowing the angle measure of both the interior and exterior angles of a regular polygon with 42 sides is useful for a variety of applications, such as modeling or designing.

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find the highest common factor of 48 and 504​

Answers

The highest common factor of 48 and 504​ is 24.

What is an equation?

An equation is an expression showing the relationship between numbers and variables.

The highest common factor or HCF of a group of numbers is the greatest number which divides the given numbers without remainder.

48 = 2 * 24

504 = 2 * 21 * 24

The HCF of 48 and 504 is 24

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Is a 100 degree angle a right angle?.

Answers

No, A right angle is equal to 90 degrees.

In geometry and trigonometry, a right attitude is an angle of precisely ninety stages radians similar to 1 / a 4 turn. If a ray is placed in order that its endpoint is on a line and the adjacent angles are equal, then they may be right angles. The time period is a calque of Latin angulus rectus; here rectus manner "upright", regarding the vertical perpendicular to a horizontal baseline.

Closely related and crucial geometrical concepts are perpendicular strains, which means lines that form right angles at their factor of intersection, and orthogonality, which is the assets of forming right angles, usually implemented to vectors. The presence of a proper angle in a triangle is the defining factor for right triangles, making the proper perspective basic to trigonometry.

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find the principal of interest 3415 naira ,rate 5% and time 4 yrs 3 months​

Answers

Answer:

Rs16.968

Step-by-step explanation:

solution

given

i=3415

r=5%

time=4yrs 3 months

=4.25 yrs

we know,

p=Ix100/tr

= 3415x100/4.25x5

=Rs16.98

©Thank You

Answered By Solution 49

I need help with this question so I can get my homework done What is. 0.75n+s

Answers

N(b) =75 because p(b) =n(b) /n(s)

0.75=n(b)/100

n(b)=0.75*100=75

What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

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Is 1 0 infinity or infinity?.

Answers

Since division by zero is not defined, 1/0 is not infinity, and 0/0 is not indeterminate.

We must keep in mind that, except in the case of limitations, the value of 1 divided by 0 is infinite. The phrase "infinity" denotes the size of the number. When it comes to limits, we merely presume that limit x's value tends toward something rather than being equal to anything. We thus treat it as infinite.

Since it is not a real number, infinity is only used to symbolise extraordinarily big real numbers. The result of 1 divided by infinity is 0. The quotient of nonzero real numbers that divide infinity is infinity, and the rule of thumb is that any real number divided by infinity is zero.

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I will give brainiliest help!
-9+10^2-[-55/11]x(-6)
The choices are -29, -51, 31, or 121.
I thought it was 61.

Answers

Answer:

I thought it was 61 too but I guess it's 121

Step-by-step explanation:

-9 + 10^2 - [-55/11] x (-6)

( - [-55/11] x (-6) ) do this first so [55/11] x (6)

then its -9 + 10^2 + [55/11] x (6)

             -9 + 100 + [5] x (6)

                      91 + 30

                          121

     

The length of a rectangle is 5 cm more than its breadth. If the perimeter of the rectangle is 58 cm, find its dimensions.

Answers

Step-by-step explanation:

58 = 2(l+b)

58 = 2(x+x)+5

58 = 2x + 5

2x = 58-5

2x = 53

x = 53/2

x = 26.5

So, length = 26.5 + 5 = 31.5

Hence, the length and breadth are 31.5 and 26.5 respectively.

Find the perimeter or area of the figure a indicated. 5) Find the perimeter. (5x 7) meter × meter 9x meter (9x - 10) meter 8x meter 7 meter

Answers

The Area of the rectangle is (40x²+ 49x + 15)cm²

The area of a rectangle in geometry is the region covered by the rectangle in a two-dimensional plane.  The area of the rectangle is the region occupied by a rectangle within its four sides or boundaries.

A rectangle is a sort of quadrilateral, a two-dimensional object with four sides and four vertices. The rectangle's four angles are all right angles or equal to 90 degrees. The rectangle's opposite sides are equal and parallel to one other.

Given that,

Length of rectangle=(8x+5)cm

Breadth of rectangle=(5x+3)cm

Area of rectangle=Length×Breadth

Area of rectangle=(8x+5)(5x+3) = (40x²+ 49x + 15)cm²

Therefore, the Area of the rectangle is (40x²+ 49x + 15)cm²

Correct question: A rectangle is (8x+5)cm long and (5x+3)cm broad.

Find its area or perimeter.

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Charlie and Hayden are standing outside. Charlie is 64 inches tall and casts a shadow of 30 inches. If Hayden is 68 inches tall, approximately how long is his shadow? 28 inches 32 inches 145 inches 31 inches

Answers

The length of the shadow of Hayden is approximately 32 inches.

How to find the length of Hayden shadow?

Charlie and Hayden are standing outside.  Charlie is 64 inches tall and casts a shadow of 30 inches.

Hayden is 68 inches tall. The length of the shadow of Hayden can be calculated as follows:

Using proportion,

64 / 30 = 68 / x

where

x = length of the shadow of Hayden

Therefore,

64 / 30 = 68 / x

cross multiply

64x = 68 × 30

64x = 2040

divide both sides by 64

x = 2040 / 64

x = 31.875

Hence,

Length of the shadow of Hayden = 32 inches

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Is it possible to have a triangle with the following sides 5 cm 9 cm 10 cm?.

Answers

Yes, it is possible to draw a triangle.

This will be done by the property: the sum of two sides of a triangle should be more than the third side.

(5cm + 9cm) =10 cm

14 cm = 10 cm

LHS>RHS

A triangle is possible.

A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.

In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.

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tell me how many tenths are equivalent to 1/2 btw this is just for fun

Answers

Answer:

5/10

Step-by-step explanation:

hi I atleast have. to have 20 characters so yeah

Answer: 5 tenths

Step by steps:

R = 2 + 4sin(theta)

Domain is [0,2pi)


a. Write the integral to determine the area enclosed by the inner loop. Show your work that leads to the integral.

b. Write the integral to find the area between the loops

Answers

a. The integral to determine the area enclosed by the inner loop is:

A = ∫0^2π2+4sin(θ)dθ

This integral can be solved using the substitution u = 4sin(θ). This will give us the following integral:

A = ∫0^2π2 + udu

Next, we apply the power rule to the integral and solve for A.

A = 2θ + (u^2)/2 | 0^2π

A = 2θ + (4sin(θ)^2)/2 | 0^2π

A = 2π + 4[1 - cos(2θ)]/2 | 0^2π

A = 2π + 2 - cos(2π)

A = 4π - 1

b. To find the area between the loops, we can use the following integral:

A = ∫2^4π2+4sin(θ)dθ

Using the same substitution, we have:

A = ∫2^4π2 + udu

A = 2θ + (u^2)/2 | 2^4π

A = 2θ + (4sin(θ)^2)/2 | 2^4π

A = 2π + 4[1 - cos(2θ)]/2 | 2^4π

A = 2π + 2 - cos(4π)

A = 4π + 1

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Consider this expression.

| m^2 - 7 | + n^2

When m = -2 and n = 5, the value of the expression is ___.

Type the correct answer in the box (aka the empty spot). Use numerals instead of words.

Answers

The value of the expression as given in the task content is; 28.

What is the value of the given expression?

It follows from the task content that the value of the expression is to be determined given the parameters for m and n.

Since the given expression is; | m² - 7 | + n²

Therefore, when m = -2 and n = 5, we have that;

| (-2)² - 7 | + 5²

= | 4 - 7 | + 25

= | -3 | + 25

= 3 + 25

= 28.

Ultimately, the value of the expression according to the given parameters is; 28.

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She already knows to "think at the margin" and thus is considering whether to spend one additional hour studying Part 3: Which of the following captures the marginal benefit associated with Claire's decision to continue studying: (1) her score on the upcoming exam, or (ii) the amount by which her score will increase if she studies for one additional hour? Part 4: Which of the following captures the marginal cost associated with Claire's decision to continue studying : (i) the opportunity cost of the total amount of time she spends studying for the upcoming exam, or (ii) the opportunity cost of the additional hour of studying? transcriptor transcript mel new.docx final upload unoffi....pdf final application fo....pdf Why is it called disappointment?. Which of the following social reformers believed that the best way to help the urban poor was to redeem their souls and reform their character?a.Dwight L. 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