What is a division expression for the fraction 7/9 ?

Answer:

Step-by-step explanation:

hope it helps

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Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

let, the ratio be 5x & 2x

now,

5x+2x=665

7x=665

x=95

again,

5x=5×95=475

2x=2×95=190

hope it helps.

The period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

Since the band members are standing in the shape of a sinusoidal function, we can assume that their positions can be represented by the equation:

\(y = A sin(Bx)\)

where y is the vertical position of a band member, x is the horizontal position on the field, A is the amplitude, and B is the period.

Since Darla is positioned in the exact center of the field, and the person closest to her on the same horizontal line stands 10 yards away, we can assume that the sinusoidal function has a phase shift of 0. This means that the midline of the function passes through the point (0, 0).

To find the amplitude, we need to determine the maximum and minimum heights of the function.

Since the playing area of the football field measures 300 feet by 160 feet, the distance between the two farthest points on the field is the diagonal distance, which can be calculated using the Pythagorean theorem:

\(sqrt(300^2 + 160^2) \approx 340.6 feet\)

Since the distance between the farthest points on the field is equal to the distance between two peaks or two valleys of the sinusoidal function, the amplitude is half of this distance:

\(A = 340.6/2 \approx170.3 feet\)

To find the period, we can use the fact that the distance between two consecutive peaks or valleys is equal to the period of the function.

Since the person closest to Darla stands 10 yards away, or 30 feet away, we can assume that this person is standing at a peak or a valley of the function. This means that the period is twice the distance between Darla and the person closest to her:

\(P = 2(30) = 60 feet\)

Therefore, the period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

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Answer:

\(k = 2\)

Step-by-step explanation:

\(\textrm{P(blue \;bead)} = \dfrac{\textrm{Number of blue beads}}{\textrm{Total number of beads}}\\\\\textrm {Number of blue beads } = k\\\\\textrm{Total number of beads } = k + 4\\\\\)

\(\textrm{P(blue \;bead)} = \dfrac{k}{k+4}\\\\\)

\(\textrm{We are given this probability as } \dfrac{1}{3}\\\\\textrm{So,}\\\\\dfrac{k}{k+4} = \dfrac{1}{3}\\\\\)

Cross-Multiplying this equation we get
\(k\cdot 3 = 1 \cdot (k + 4)\\\\\longrightarrow 3k = k + 4\\\\3k - k = 4\\\\2k = 4\\\\k = 2\\\\\)

Answer:

0.71

Step-by-step explanation:

1st attempt = \(\frac{14}{22} = 63%\)%

2nd attempt = \(\frac{22}{28} = 79%\)%

To get the average of something, find the sum of the numbers and then divided the sum by the total number of values there are.

⇒ 63 + 79 = 142

⇒ 142 / 2 = 71%  

⇒ 71% = .71

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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The equatiοn that shοuld be true is  m∠WXY + m∠ZXY = m∠WXZ.

Equatiοn, statement οf equality between twο expressiοns cοnsisting οf variables and/οr numbers. In essence, equatiοns are questiοns, and the develοpment οf mathematics has been driven by attempts tο find answers tο thοse questiοns in a systematic way.

Equatiοns vary in cοmplexity frοm simple algebraic equatiοns (invοlving οnly additiοn οr multiplicatiοn) tο differential equatiοns, expοnential equatiοns (invοlving expοnential expressiοns), and integral equatiοns. They are used tο express many οf the laws οf physics.

The angles shοuld be cοngruent when it is equal measures, It shοuld be cοmplementary when it measures add tο 90 deg, οr supplementary when it measures add tο 180 degree. Mοreοver, the sum οf the measures οf the twο smaller angles shοuld be equivalent tο the measure οf the larger οuter angle.

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\(m = 1\)

Step-by-step explanation:

\(2x + m = 7\)

insert x=3 into the equation

\(2(3) + m = 7\)

multiply

\(6 + m = 7\)

subtract 6 on both sides

\(6 - 6 + m = 7 - 6\)

\(m = 7 - 6\)

simplify

\(m = 1\)

Answer:

180

Step-by-step explanation:

A word has n letters.

There are m repeating letters, each of them repeating \(r_{0}, r_{1}, ..., r_{m}\) times

So the number of distincts ways the letters can be permutated is:

\(N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}\)

In this question:

Extent has 6 letters.

E and r repeat 2 times. So

\(N = \frac{6!}{2!*2!} = 180\)

So the answer is 180.

Answer:

120

Step-by-step explanation:

48 + 72

= 120

Answer:

Thus, 2/3 is the simplified fraction for 48/72 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 48/72 by using the prime factorization method.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The answer is B.  If you go down from the y intercept 2 times, and then to the right 3 times, you get to the x intercept.

Answer: y = -2/3x + 2

Step-by-step explanation:

The graph shows a constant negative slope and also has a y-intercept.

The y-intercept is the point that intersects the y axis. We see that the point (0,2) intersects the y- axis, and we can use the positive value 2 at the end of equation of a line:  y = mx + b

# = number

The slope is rise/run, or the # of y/# of x -> 2/3

since the slope is going downward, the slope would be negative -> -2/3

So the equation of the line is : y = -2/3x + 2

Answer:

6 miles

2 1/4 + 3/4 = 3 whole miles. 3x2=6.

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Solution:

Given;

Thu;

ANSWER:

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer and Step-by-step explanation:

As a public service broadcaster, the BBC is funded by the public and is therefore required to provide impartial and high-quality programming that serves the public interest. This means that the BBC has a responsibility to create programming that is diverse and informative, and that reflects the needs and interests of its audience.

The BBC's broadcasting is required to be impartial, which means that it must provide balanced coverage of news and current affairs, and present a range of viewpoints without bias. This is reflected in the BBC's editorial guidelines, which require impartiality, accuracy, and fairness in all programming.

In addition, the BBC's programming must be educational, informative, and entertaining. It must also provide content that is suitable for a range of audiences, including children, and reflect the diversity of the UK's population.

Overall, the BBC's public service broadcasting mandate requires it to provide a range of programming that meets the needs and interests of the public, and to do so in an impartial and responsible manner

BBC as a public service broadcaster is not solely driven by commercial interests, but rather by a responsibility to meet the needs and interests of all people.

The BBC's public service broadcasting mandate reflects a commitment to serving the needs and interests of the public.

BBC stands for British Broadcasting Corporation.

It serves the public interest by providing content that informs, educates, and entertains.

We have,

BBC as a public service broadcaster,

This means BBC is not solely driven by commercial interests, but rather by a responsibility to meet the needs and interests of all audiences, regardless of age, gender, race, religion, or political affiliation.

The BBC's public service broadcasting mandate reflects a commitment to serving the needs and interests of the public, and its broadcasting reflects this through a diverse range of high-quality content, impartial and accurate news coverage, and a funding and governance structure that ensures its independence and accessibility.

Thus,

The BBC's broadcasting reflects the mandate through a commitment to producing a diverse range of high-quality content that reflects the diversity of the UK and the world.

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Answer:

No

Step-by-step explanation:

Since shape a has 32 squares

And shape b has 42

So b is bigger

Answer:

I think it's option b if it's wrong Telle

The probability that a student chosen at random from Jared's class does not own a trampoline is 5/12.

The probability that the student does not own a trampoline is equal to the number of students who do not own a trampoline divided by the total number of students in the class.

The number of students who do not own a trampoline is equal to the total number of students in the class minus the number of students who own a trampoline:

24 - 14 = 10

Therefore, the probability that a student chosen at random from Jared's class does not own a trampoline is:

P(not owning a trampoline) = 10/24

Simplifying the fraction,

P(not owning a trampoline) = 5/12

Therefore, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12.

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Answer:

3. (x | x > 5)

Step-by-step explanation:

To solve this inequality, we need to isolate the variable on one side and the constant on the other side. To do this, we need to use the properties of inequalities and the order of operations to manipulate the given inequality into a form we can solve.

First, we need to distribute the coefficients in front of the parentheses on the left-hand side of the inequality. This gives us:

4x - 12 - 2x + 2 > 0

Next, we can combine like terms on the left-hand side of the inequality by adding the terms with the variable and subtracting the constant terms. This gives us:

2x - 10 > 0

Now, we have isolated the variable on one side of the inequality and the constant on the other side. To solve the inequality, we need to determine the values of x that make the inequality true.

To do this, we can divide both sides of the inequality by the coefficient of the variable, which gives us:

x - 5 > 0

This inequality is satisfied when x is greater than 5. Therefore, the solution to the original inequality is x > 5.

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer:

8

Step-by-step explanation:

There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

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Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5