The sum of two numbers is 52. If one number is
7/6
times the second number, then find the largest

Answer

yc(T)=y"+y'-6y=0

Step-by-step explanation:

The time Amy has left for the question C is 13.9 minutes.

The mixed fraction can be converted into a fraction by interchanging the numerator with the sum of the  product of denominator and the whole number and the numerator of the mixed fraction. It can be shown as 2(¹/₂) = (2 × 2 + 1)/2 = 5/2.

Given that,

The total time for quiz is 30 minutes.

The time taken to do problem A is 10(⁷/₁₀) and for B is 4(²/₅).

Thus, the remaining time left can be calculated by the as follows,

30 - (10(⁷/₁₀) + 4(²/₅))

Change the mixed fraction into the fraction to obtain,

30 - (107/10 + 22/5) = 13.9

Hence, the time left for question C is given as 13.9 minutes.

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Answer:

the 3rd option is the right one

Rounding this to the nearest foot, we get that the length of the guy wire is approximately 19 feet.

Units of length may have historically been determined by the lengths of human body parts, the distance traversed in a specified number of paces, the distance between well-known sites or locations on Earth, or randomly by the length of a well-known object.

The Pythagorean theorem can be used to resolve this issue. The guy wire is the hypotenuse of a right triangle made up of the guy wire, the pole, and the ground. The formula is as follows:

Guy wire length = stake to pole length + pole length to tower length

By entering the specified values, we obtain:

Guy wire length two equals two plus nineteen, or 365.

Guy wire length = 365 + 19.10 + guy wire length

If we round this number to the next foot, the guy wire's length is roughly 19 feet.

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Answer:

Step-by-step explanation:

Use the formula for the cos of an angle:

\(cos\theta=\frac{adj}{hyp}\)  where the adjacent side is the length of 4 and the hypotenuse is the "c" we are looking for. Setting up the equation:

\(.33=\frac{4}{hyp}\)

Solve that equation for hyp to get:

\(hyp=\frac{4}{.33}\)

Dividing that gives us that hyp (aka "c") = 12.121212...

c ≈ 12.12 (approximate value of side c in the right triangle).

Recall that in a right triangle, the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

In this case, cos B = 0.33.

We are given the length of the adjacent side, a, which is 4 units.

Use the equation cos B = a/c and rearrange it to solve for c:

cos B = a/c

Multiply both sides by c: c * cos B = a

Divide both sides by cos B: c = a / cos B

Substitute the values we have: c = 4 / 0.33.

Calculate the value of c using a calculator or by performing the division:

c ≈ 12.12.

Therefore, the length of side c in the right triangle is approximately 12.12 units.

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The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Answer: 14x + 42

7(2x+4)+14

14x + 28 + 14

14x + 42

Step-by-step explanation:

Answer:

x2+y2−6y=0

Step-by-step explanation:

The value of the expression on evaluation is 96π / 5.

Here we have to find the value of the expression.

∫∫∫x² dV

E is indeed the solid that exists inside the cylinder x² + y² = 4 above the surface z =0.

E's precession through into xy-plane is x² + y² ≤4 where r≤2 with Ф[0, 2π].

∫∫∫ x² dV = ∫\(\int\limits^2\pi _0 {} \, \int\limits^2_0{} \, \int\limits^3r_0\) r² cos² Фrd dФ

             = \(\int\limits^2\pi _0 {} \, \int\limits^2_0 \int\limits^3r_z=0 {} \,\)r³ cos²Ф dz dr dФ

            = \(\int\limits^2\pi _0 {} \, \int\limits^2_0 {} \,\) 3\(r^{4}\)cos²Ф dr dФ

           = 3 \(\int\limits^2\pi _0 {} \,\) 1/2 \(2^{5}\)/ 5 ( 1 + cos² Ф )dr dФ

           = 48 / 5 [( Ф + 1/2 sin 2Ф)\(]^{2\pi } _{0}\)

            = 96π / 5

Therefore the value of the expression is 96π/5.

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Answer:

  32.5% sugar

Step-by-step explanation:

You want to know the sugar concentration in the mix of two 250-mL cans of soft drink, one of which is 20% sugar, and the other of which is 45% sugar.

The fraction of sugar in the mix is the weighted average of the fractions in the contributors. The weights are the volumes. Since the volumes are equal, the weights are equal, so the fraction in the final mix is simply the average of the two fractions:

  (20% +45%)/2 = 65%/2 = 32.5%

The sugar concentration of the mixed soft drink is 32.5%.

Answer: 253

Step-by-step explanation:

First, we have two numbers A and B.

We know that all numbers can be written as a product of prime numbers.

And the HCF of A and B is 23

Then we can write:

A = 23*a

B = 23*b

(remember that 23 is a prime number)

Where a and b are larger than 1.

Now we know that the least common multiple between them is 644.

Notice that the primes that conform a can not be the same as the ones for b, because in that case, the HCF would not be 23.

Now to find a and b we can compute:

644/23 = 28.

28 = a*b

Now let's write 28 as a product of prime numbers:

a*b = 28 = 4*7 = 2*2*7

Then we can define:

a = 2*2

b = 7.

Our two numbers are:

A = 23*2*2 = 92

B = 23*7 = 161

A + B = 92 + 161 = 253

The sum of the two numbers would be:

253

Assume the two numbers be \(x\) and \(y\)

Given that,

HCF of \(x\) and \(y\) = 23

so,

The numbers could be written as:

23\(x\) and 23\(y\)

We know that,

LCM of 23\(x\) and 23\(y\) = 644

We also know that,

LCM × HCF = The product of two numbers

∵ 644 × 23 = 23\(x\) × 23\(y\)

So, by solving them we get;

14812/529 = \(x\) × \(y\)

∵ \(x\) × \(y\) = 28

If we prime factorize 28, we get

28 = 2 × 2 × 7

This gives us,

\(x =\)23 × 2 × 2 = 92

\(y =\) 23 × 7 = 161

Thus, the sum of the two numbers = 92 + 161 = 253

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answer to problem:

n = 3

Answer:

b

Step-by-step explanation:

Answer:

2000 children

Step-by-step explanation:

Total number of children= 1268+982=2250

9u=2250

1u=2250÷9=250

Number of children who did not win any prizes= 250×8=2000

Answer:

1800

Step-by-step explanation:

1.add the 2 numbers

2.multiply the answer with 8

Answer:

Ingredient | 4 servings | 2 servings | 8 servings

-------------------------------------------------------------------

flour (c)      |        1          |       1/2       |        2          

sugar (c)    |       3/4       |       3/8      |       3/2                

butter (T)   |        1          |       1/2       |        2          

salt (t)        |        1/4       |       1/8       |        1/2  

Step-by-step explanation:

4 servings:

1 c flour

3/4 c sugar

1 T butter

1/4 t salt

2 serving = 4 servings / 2 =

1 c flour/2 = 1/2 c flour

3/4 c sugar/2 = 3/8 c sugar

1 T butter/2 = 1/2 T butter

1/4 t salt/2 = 1/8 t salt

8 servings = 4 servings * 2 =

1 c flour * 2 = 2 c flour

3/4 c sugar * 2 = (3*2)/4 = 3/2 c sugar

1 T butter * 2 = 2 T butter

1/4 t salt * 2 = 2/4 = 1/2 t salt

Table:

Ingredient | 4 servings | 2 servings | 8 servings

-------------------------------------------------------------------

flour (c)      |        1          |       1/2       |        2          

sugar (c)    |       3/4       |       3/8      |       3/2                

butter (T)   |        1          |       1/2       |        2          

salt (t)        |        1/4       |       1/8       |        1/2          

We want to see how much must vary x so the argument of f(x) varies by 2 pi. We will see that x must vary (2π)/0.65.

So let's take the variation from 0 to 2π.

The argument is zero when x = 0

Argument = 0.65*x

if x = 0

Argument = 0.65*0 = 0

Now let's see which must be the value of x such that the argument is equal to 2π, so we must solve:

2π = 0.65*x

(2π)/0.65 = x

So we can see that x must vary from 0 to (2π)/0.65, or just a variation of (2π)/0.65.

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Step-by-step explanation:

Let smallest number be x,

so largest no would be 2x

other no would be 2x-6

sum = 54= x+2x+2x-6

54= 5x-6

60=5x

60/5=x

12=x

2x= 24, 2x-6=24-6=18

Three numbers are 12, 18, 24

Answer: It would take 8 hours!!

Step-by-step explanation: Hope this helps!! <3

Answer:

Peter will complete the job in 8 hours

Step-by-step explanation:

Notice that  5 1/3 hours is  16%2F3  hours.

So, their combined rate of work is  1%2F%28%2816%2F3%29%29  = 3%2F16  of the job per hour.

Steven's rate of work is  1%2F16  of the job per hour.

Hence, Peter's rate of work is the difference  3%2F16 - 1%2F16 = 2%2F16 = 1%2F8  of the job per hour.

It implies that Peter will complete the job in 8 hours, working alone.

Answer:

z = -3

Step-by-step explanation:

Use the formula for z-score

\(z=\frac{x-\mu}{\sigma}\\\\z=\frac{150-300}{50}\\ \\z=\frac{-150}{50}\\ \\z=-3\)

This tells us that the person's score of 150 puts him/her 3 standard deviations below the mean of 300.

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

The top of a hill rises 171 feet above checkpoint 4.

From the given table, checkpoint 4 is at -183 feet above sea level.

This means that the top of the hill is

Therefore, the altitude of the top of the hill is -12 feet.

Part (b)

How much lower is checkpoint 5 than checkpoint 1?

From the given table, checkpoint 1 is at 1,415 feet and checkpoint 5 is at -132 feet above sea level

The difference between them is

Therefore, checkpoint 5 is 1547 feet lower than checkpoint 1.

Answer:

6.375

Step-by-step explanation:

8.5 percent of 7.500=6.375

Answer:

what is Diplomacy significance

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:

Theorist Approach to Learning Key Concepts

Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.

Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.

Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

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Answer:4541(Rounded) 4541.99779(Unrounded)

Step-by-step explanation:

A= P(1 + r)^T

A= answer

P=principle(amount of money)

r=Rate(percent / 100)

T=Time(Annually)

1030(1 + .077)^20

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The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

\(y = x-2\)

comparing with the slope-intercept form of the line equation

\(y = mx+b\)

where m is the slope and b is the y-intercept

so

Let us plug in some values

at x = 0, y = x-2 ⇒ y = 0-2  ⇒ y = -2

at x = 1, y = x-2 ⇒ y = 1-2  ⇒ y = -1

at x = 2, y = x-2 ⇒ y = 2-2  ⇒ y = 0

at x = 3, y = x-2 ⇒ y = 3-2  ⇒ y = 1

at x = 4, y = 4-2 ⇒ y = 4-2  ⇒ y = 2

Thus, the table of the equation y = x-2 becomes

x                  y

0                 -2

1                   -1

2                  0

3                   1

4                   2

Please check the attached graph.

A total of 192 students voted altogether.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as an addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

Given:

The number of students who voted for Morgan = 64.

Let the number of students who voted for Whitney = n.

According to the question,

n = 2 times the number of students who voted for Morgan

n = 2 x 64

n = 128.

The total number of students who voted = 64 + 128

The total number of students who voted = 192.

Therefore, the required number of votes is 128.

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