2/3 divided by 2/5

lesson 4 module 2
grade 6
page s.20

Answer:

A. im pretty sure

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

According to the statement lines, r and s are parallel, then when a line intercepts both lines the angles formed are going to be the same.

Then x is at the same position as 156°.

The two integers are equal to 1 and 7 respectively.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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16 is the number which is one-fifth of a number when one-fourth of that same number is 20.

As per the given data:

One-fourth of the number is resulted to 20.

Here we have to determine the result of one-fifth of the same number from the given options.

An expression for a portion of a whole is a fraction.

For any real numbers, the fractional component of x is defined.

Let the number be X.

One-fourth of a number is 20 which means:

Multiply the one-fourth fraction with an unknown number which results in the number 20.

\($\frac{1}{4}\)  (X) = 20

X = 20 × 4

X = 80

Now we have to determine that one-fifth of the same number.

Multiply the one-fifth fraction by 80.

We get:

= \($\frac{1}{5}\) (80)

= \($\frac{1}{5}\)   × 5 × 16

= 16

One-fifth of the number 80 is 16

Therefore Option (D) - 16 is the correct answer.

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Answer:“ C ”

“month” on the x axis and “log” on the y axis

Answer:

Step-by-step explanation:

Let d represent the number of dimes. Then d-9 is the number of nickels. The total value (in cents) is ...

  10d +5(d-9) = 180

  15d -45 = 180 . . . . . simplify

  d -3 = 12 . . . . . . . . . .divide by 15

  d = 15

  15 -9 = 6 = number of nickels

Sue has 15 dimes and 6 nickels.

Answer:

15 dimes, 6 nickels

Step-by-step explanation:

D = # of dimes, and N = # of nickels

10D + 5N = 180

D = N + 9

Substitute:

10 (N + 9) + 5N = 180

10N + 90 + 5N = 180

15N = 90

N = 6

D = 15

The following table lists Telkom's rates for international calls. Number minutes needed for \(x\) to be \(17\)and \(y\) to be \(14.85\).

Many numbers have deeper symbolic connotations in addition to their spiritual significance, and it is crucial to grasp these meanings in order to comprehend how they influence other cultures' perceptions of the physical world.

According to Wilder, any sequence of consecutive threes is probably a sign of good fortune or a shift in your job, achievement, aspirations, or emphasis. According to Wilder, the number 333 is frequently a signal that you should have faith in your ability to make the next move.

Let\(y=k*b\)

When \(x=3, y=4.95, x=5, y=8.25\)

\(4.95=3k+b\)

\(8.25=5k+b\)

\(k=1.65\)

\(b=0\)

\(y=1.65x\)

when \(x=9\)

\(y=1.65*9 = 14.85\)

when \(y=28.05\)

\(x=y/1.65=28.05/1.65=17\)

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The complete and the correct form of question is:

The International calls tariffs of Telkom are given in the following table:

Number of minutes         3                  5                   9                     y

Cost                               R4.95          R8.25              X                R28.05

Determine the cost of 9 minute call

When two interior angles of a triangle are known, it is possible to determine the third angle using the Triangle Angle Sum Theorem. To find the third unknown angle of a triangle, subtract the sum of the two known angles from 180 degrees. Triangle ABC is such that, ∠A = 38° and ∠B = 134°.

The quotient of 121 and 101; when solved is; 1.198

The given expression to be evaluated is;

By observation, the numerator and denominator have no common factors and hence have time divided by means of a calculator or long division so that we have;

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Answer:

Samantha can make 16 necklaces.

Step-by-step explanation:

If she has 8 1/4 yards of string and uses 1/2yd for each necklace, then our equation is (8 1/4)/(1/2) or \(\frac{8\frac{ 1}{4} }{\frac{1}{2} }\)  

8 1/4 as an improper fraction is 33/4.

Our new equation is (33/4)/(1/2)

To divide fractions, flip the divisor into a reciprocal and multiply:

\(\frac{33}{4}x\frac{2}{1}\)

Simplify:

\(\frac{33}{2}x\frac{1}{1}\)

33/2

Simplify to a mixed number:

16 1/2

Samantha can make 16.5 necklaces, but you can't have half a necklace, so she can make 16 necklaces.

Answer: The answer is 16

Step-by-step explanation: I have my ways ;>

The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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Answer:

83.0

Step-by-step explanation:

We have all three sides and the only thing we're missing is the X angle. And that's okay!

All you have to do is plug in the numbers into each variable. In this case if you are going to solve for X, you should use this equation.

\(x^2=y^2+z^2-2yzcosX\)

x = 17ft

y = 8ft

x = 16fi

Then you can algebraically solve for cosX, and then use the inverse of cosx to get the angle.

Answer:

ole la lechuaza acabe chu acabe chu acevhu acehcyla abaten y cierran la puerta

Answer:

Step-by-step explanation:

Slope= - 6/7

Point (-4, 2)

b = y - (m)(x)

b = 2- (-6/7)(-4)

b = 2 - 24/7

b = -10/7

y = - 6/7x - 10/7

Tthe triangle that is a reflection of the green triangle is figure 1

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

The figures

Where, we have:

This means that the triangle that is a reflection of the green triangle is figure 1

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer: Come on, don’t people learn these things in school!

Step-by-step explanation:

Answer:

C. y ≤ 0

D. 18 bags of chips and 6 jars of salsa

Step-by-step explanation:

It is C because, it is over the x axis and it covers all the negative y's.

__________________________________________________________

2.5x + 4y ≤ 60

2.5(10) + 4(2) ≤ 60

25 + 8 ≤ 60

33 ≤ 60

It fits so A doesn't work

2.5x + 4y ≤ 60

2.5(20) + 4(2) ≤ 60

50 + 8 ≤ 60

58 ≤ 60

It fits so B doesn't work

2.5x + 4y ≤ 60

2.5(14) + 4(5) ≤ 60

35 + 20 ≤ 60

55 ≤ 60

It fits so C doesn't work

2.5x + 4y ≤ 60

2.5(18) + 4(6) ≤ 60

45 + 24 ≤ 69

It doesn't fit therefore, your answer would be D. 18 bags of chips and 6 jars of salsa.

Answer: 4 2/3

Step-by-step explanation:

Because I said so

The revenue equation is given by:

R = –360p^2 + 28,800p

To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = -360 and b = 28,800.

The x-coordinate of the vertex is given by:

x = -b/2a = -28,800/(2*(-360)) = 40

Substituting x = 40 into the revenue equation gives:

R = –360(40)^2 + 28,800(40) = 576,000

Therefore, the maximum revenue that can be expected is $576,000.

Again let me know what other ones you need help with

The probability of selecting a mystery book, then without replacing it, selecting a nonfiction book is approximately 0.1462.

On the bookcase, there are 24 + 12 + 4 = 40 volumes.

The odds of picking a mystery book on the first draw are 24/40.

There are 39 books remaining after the first is drawn, including 12 nonfiction works. Because the initial book was never replaced, there are currently only 11 nonfiction volumes left.

Given that a mystery book was chosen without replacement in the first draw, the probability of selecting a nonfiction book in the second draw is 12/39.

When we multiply these probability together, we get:

P(nonfiction after mystery, not replacing) * P(mystery, not replacing) = (24/40) * (12/39) = 0.14615...

P(nonfiction after mystery, not replacing) * P(mystery, not replacing) = 0.1462

So, the probability of selecting a mystery book, followed by a nonfiction book without replacing it is roughly 0.1462.

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Answer:

i have no idea mate

Hey there!

(2/3a - 5) - (1/3a + 3)

= 2/3a - 5 - 1/3a + 3

COMBINE the LIKE TERMS

= (2/3a - 1/3a) - ( -5 + 3)

= 1/3a - 2

Therefore, your answer should be: 1/3a - 2

OR

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer: 200 seconds

Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200

Answer:

8.592541673827118e-5

Step-by-step explanation:

kinda easy

The total area of the figure is 272.64 yd2. Hence, the answer is option (A) 272.64 yd².

It is a trapezoid with base sides of a length of 21.3 yards and 14.9 yards, a height of 12.8 yards, and a portion of the top from the perpendicular side to a right vertex of 6.4 yards. We can use the formula for the area of a trapezoid, which is A = (b1 + b2)h/2, where b1 and b2 are the base sides, and h is the height. We have b1 = 21.3 yards, b2 = 14.9 yards, and h = 12.8 yards. To find the missing length, we can use the fact that the sum of the lengths of the two portions of the top is equal to the length of the top, which is (b1 - b2) = 6.4 + 14.9 = 21.3. Solving for b2, we get b2 = 21.3 - 6.4 = 14.9. Substituting the values in the formula, we get A = (21.3 + 14.9) x 12.8 / 2 = 272.64 yd².

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The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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1)The number of milk chocolate that sold last week is = \(25\frac{2}{3}\) B is correct

2)white chocolate at the candy store last week is 19.

Last week, a candy store sold \(5\frac{1}{3}=\frac{16}{3}\) pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate.

The number of milk chocolate did the candy store sell last week.

Since the candy store sold 4 times as much milk chocolate as white chocolate, it sold:

\(4 *\frac{ 19}{3 } =\frac{ 76}{3}\\ pounds\ of\ milk\ chocolate.= 25 \frac{2}{3}\)

option B is correct.

2)

To find out how many more pounds of milk chocolate were sold than white chocolate at the candy store last week, we can subtract the amount of white chocolate sold from the amount of milk chocolate sold:

\(\frac{76}{3} - \frac{19}{3} \\= \frac{57}{3}\\ = 19\ pounds.\)

option C is correct

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Answer:

We need more info to solve this problem.

Step-by-step explanation: