a strategy this student could use to prevent the same error in the future. Isabel has 4 more than one half as many dolls as Jasmine. Define a variable and write an expression to represent the number of dolls in Isabel's collection. Then find the number of dolls in Isabel's collection if Jasmine has 14 dolls. Identify and Explain the Error Incorrect Work/Solution​

Hope this helps. Please mark brainliest if it did

Answer: 4536.46

450 miles

Explanation

Step 1

Let

Step 2

how many times the distnce (E-M) is the distance(E-S)

so, the distance is

I hope this helps you

Answer:

Step-by-step explanation:

You want three additional equivalent expressions to 6(3x +8) +32 +12x, one of which is the expression in simplest form.

Any expression you write along the path to simplifying the given expression will be an equivalent. Here's one way to get three different expressions:

  6(3x +8) +32 +12x . . . . . . given

  18x +48 +32 +12x . . . . . . eliminate parentheses

  30x +48 +32 . . . . . . . . . . combine x terms

  30x +80 . . . . . . . . . . . . . . combine constants (2 terms)

We can write another equivalent by factoring out a common factor:

  10(3x +8)

Answer:

B. 27.8 units

Step-by-step explanation:

Hope it Help

The probability that their product is negative P=0.4

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having an 'n' number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The product of a positive number and a negative number is negative.

There are a total of 5 choose 2 = 10 pairs. Out of these 10, 4 choose 2 = 6 pairs that do not contain a negative number.

So, the probability that the product is negative is P= 1 - 6/10 = 2/5

To know more about Probability:

https://brainly.com/question/17297496

#SPJ4

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The image you posted does not let us "click and drag." The angle bisector you create will cut the given 74° angle into two (equal) 37° angles. Your final image may look something like this:

Let p be a probability mass function defined on the set of integers {-1, 0, 1} such that p(-1) = 1/4, p(0) = 1/2, and p(1) = 1/4.

Then, the associated random variable X has mean 0, since E[X] = (-1)(1/4) + (0)(1/2) + (1)(1/4) = 0.
A probability mass function (PMF) is a function that maps discrete outcomes of a random variable to their corresponding probabilities. In your case, we want to find a PMF for a random variable with a mean of 0.

Let X be a random variable with two possible outcomes: -1 and 1. We can define a PMF p(X) as follows:

p(X = -1) = 0.5
p(X = 1) = 0.5

Now, let's calculate the mean (expected value) of X:

E(X) = (-1) * p(X = -1) + (1) * p(X = 1) = (-1) * 0.5 + (1) * 0.5 = -0.5 + 0.5 = 0

The associated random variable X has a mean of 0, and thus the given PMF satisfies the condition.

Visit here to learn more about mass function brainly.com/question/30070005

#SPJ11

The cube roots of i are:

Given:

cube root of i

i can be written as cosπ/2 + i sinπ/2

i = cos π/2 + i sinπ/2

general form:

i = cos (2kπ + π/2) + isin(2kπ + π/2) for k=0,1,2

= cos (4kπ+π/2) + i sin(4kπ+π/2)

= cos (4k+1)π/6 + i sin(4k+1) π/6

k = 0: i¹/³ = cos π/6 + i sin π/6

= √3/2 + i 1/2

K = 1, i¹/³ = cos(5π/6) + i sin(5π/6)

= cos(π - π/6) + i sin (π-π/6)

= - cos (π/6) + isin(π/6)

= -√3/2 + i 1/2

k = 2, i¹/³   cos(3π/6) + i sin(3π/6)

= cos (3π/2) + i sin(3π/2)

= cos(π+π/2) + i sin(π+π/2)

= -cos(π/2) - i sin(π/2)

= 0 - i

= -i

Hence we get the required roots.

Learn more about Cube root here:

brainly.com/question/25666481

#SPJ4

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Only relations a, c and e are functions.

Here, we are given 6 relations and we need to determine which of them are function.

The basic property of a function is that a function from a set X to a set Y assigns to each element of X exactly one element of Y.

a. In this relation all elements in A are assigned only one value in B, thus, this relation is a function.

b. In this relation -1 in A has two values in B, that is, 5 and 2. Thus, this relation is not a function.

c. In this relation all elements of the first set are assigned only one value in set 2, thus, this relation is a function.

d. In this relation, 9 in set 1 has two values in set 2, that is, 9 and 5. Thus, this relation is not a function.

e. In this, relation, from the graph, we can see that all the x values have exactly one y value corresponding to them. Thus, the relation is a function.

f. In this relation we see that when x = 2, y can be 2 or 7. Thus, this relation is not a function.

Hence, we conclude that only relations a, c and e are functions.

Learn more about functions here-

https://brainly.com/question/22340031

#SPJ1

Answer:

It is A

Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts

produced.

Step-by-step explanation:

:)

Answer:

Let's call the total area of the common space "A". Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm, which means that one foot on the plan represents 4 cm in real life. So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3. And the area of the social area on the plan is (2A/3) / 4.

Area of the social area on the plan is (2A/3) / 4.

Here,

Let the total area of the common space "A".

Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm

So,

One foot on the plan represents 4 cm in real life.

So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3.

Thus the area of the social area on the plan is (2A/3) / 4.

Know more about area,

https://brainly.com/question/16151549

#SPJ2

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

Heat transfer rate due to free convection from a vertical surface of 1.2 m high and 0.45 m wide to quiescent air that is 47°C colder than the surface can be calculated by using the following formula :Q = h × A × ΔTWhere Q is the rate of heat transfer, h is the convective heat transfer coefficient, A is the surface area, and ΔT is the temperature difference between the surface and the surrounding quiescent air.

The convective heat transfer coefficient can be calculated by using the following formula :h = Nu × k / LWhere Nu is the Nusselt number, k is the thermal conductivity, and L is the characteristic length. In this case, the characteristic length is the height of the surface. The Nusselt number can be calculated by using the following formula :

Nu =\(0.68 + (0.67 × Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9 )^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9 × (Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9)^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9\)

Where Gr is the Grashof number, Pr is the Prandtl number, and L is the characteristic length. The Grashof number can be calculated by using the following formula :

Gr = gβΔT L³ / v²

Where g is the acceleration due to gravity, β is the coefficient of thermal expansion, ΔT is the temperature difference, L is the characteristic length, and v is the kinematic viscosity. The coefficient of thermal expansion can be calculated by using the following formula :

β = 1 / T_avg

Where T_avg is the average temperature of the surface and the surrounding quiescent air.

The kinematic viscosity can be calculated by using the following formula :

v = μ / ρ

Where μ is the dynamic viscosity and ρ is the density. The dynamic viscosity can be obtained from the given data. The density can be calculated by using the ideal gas law :

ρ = P / R T

Where P is the pressure, R is the gas constant, and T is the temperature. The pressure can be assumed to be constant. The gas constant can be obtained from the given data. State applicable assumptions : The surface is vertical. The flow is steady and laminar.

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

For more information on  Prandtl number visit:

brainly.com/question/32846568

#SPJ11

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

More can be learned about absolute value functions at brainly.com/question/3381225

#SPJ1

Answer:

y = 4

Step-by-step explanation:

First isolate y

-4 + 3y = 8

3y = 8 + 4

3y = 12

y = 4

Answer:

Y=4

Step-by-step explanation:

3y=12

y=4

The height of the dock is approximately 15.9 feet to the nearest tenth of a fo

To find the height of the dock, we can use trigonometric functions. In this case, we have a right triangle formed by the rope, the water level, and the height of the dock. The angle between the rope and the water level is given as 32°.

We can use the sine function, which relates the opposite side of a right triangle to the hypotenuse:

sin(angle) = opposite / hypotenuse

In this case, the opposite side is the height of the dock, and the hypotenuse is the length of the rope. Let's denote the height of the dock as h and the length of the rope as L. From the given information, we have L = 30 feet and the angle = 32°.

sin(32°) = h / 30

To find the height of the dock (h), we can rearrange the equation:

h = 30 * sin(32°)

Calculating this value, we get:

h ≈ 30 * 0.5299 ≈ 15.897 feet

Therefore, the height of the dock is approximately 15.9 feet to the nearest tenth of a fo

Learn more about height here:

https://brainly.com/question/2773823

#SPJ11

Answer:

$24

Step-by-step explanation:

PRICE=$80

DISCOUNT=70٪ OF $80=(70/100)×80=70×80/100=$56

HENCE DISCOUNT=$56

NOW THE PRICE=$80-$56=$24

I HOPE IT HELPED YOU

Answer: 24

Step-by-step explanation:

Multiply the original price by how much is being discounted.

80 x .70 = 56

Subtract the answer from the original price.

80 - 56 = 24

15 people can be seated in the restaurant

The answer to your question would be D. 3/1

Answer:

∠ B = 123°, ∠ D = 57°

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side.

∠ A and ∠ D are on the same side, then

6x + 12 + 2x + 20 = 180

8x + 32 = 180 ( subtract 32 from both sides )

8x = 148 ( divide both sides by 8 )

x = 18.5

Thus

∠ A = 6x + 12 = 6(18.5) + 12 = 111 + 12 = 123°

∠ D = 2x + 20 = 2(18.5) + 20 = 37 + 20 = 57°

The lower base angles and the upper base angles are congruent, so

∠ B = ∠ A = 123°

∠ C = ∠ D = 57°

Answer:

Step-by-step explanation:

#1). It could be good to provide us with the picture, because the answer depends from the angle we choose for letter A.

--- If angle A is acute, then m∠A = m∠D

and

6x + 12 = 2x + 20 ⇒ x = 2

m∠A = m∠D = 24°

m∠B = m∠C = 180° - 24° = 156°

--- If angle A is obtuse, then m∠A + m∠D = 180°

and

6x + 12 + 2x + 20 = 180 ⇒ x = 18.5

m∠A = m∠B = 6(18.5) + 12 = 123°

m∠D = m∠C = 2(18.5) + 20 = 57°

#2). 12k + 5 = 145

12k = 140

k = \(\frac{35}{3}\) = \(11\frac{2}{3}\)

Step-by-step explanation:

14÷2=7

18÷2=9

for the first equation

14/y=7

cross multiply will be

7y=14

divide both sides by the co efficient of y which is 7

y=14÷2

y=2

same step for the second equation

The company's asset turnover for 2022 is 1.25 times.

The asset turnover ratio measures the efficiency of a company in using its assets to generate sales. The formula to calculate the asset turnover ratio is:

Asset turnover = Net sales / Average total assets

To calculate the average total assets, we add the beginning total assets to the ending total assets and divide the sum by 2:

Average total assets = (Beginning total assets + Ending total assets) / 2

                    = ($300,000 + $340,000) / 2

                    = $320,000

Now we can calculate the asset turnover ratio:

Asset turnover = Net sales / Average total assets

              = $400,000 / $320,000

              = 1.25

Therefore, the company's asset turnover for 2022 is 1.25 times.

To learn more about average asset visit:

brainly.com/question/27193544

#SPJ1

Answer: is 5/4

Step-by-step explanation:

Writing as a fraction of the expression 3/4+1/2 with the fraction calculator

To calculate the addition fraction, the fractions are reduced to a common denominator and then added numerators.

We obtain 3/4+1/2=3⋅2+44⋅2

The GCD of the fraction is equal to 2.

By dividing the numerator and denominator by the GCD, we obtain: 10/8=5/4

The result of the calculation is : 3/4+1/2=54

Possible calculations with the fraction: 5/4

Perimeter = side 1 + side 2 ´+ side 3.

Triangle 1

Perimeter = 6 + 8 + 10

= 24

Triangle 2

Perimeter = 9 + 12 + 15

= 36

Ratio

24/36 = 2/3

The ratio of the perimeters is also 2/3

The measure of the segment CD is 12 and CE is 8.

In a triangle, the centroid is the point of intersection of the three medians, which are line segments joining each vertex to the midpoint of the opposite side.

The centroid divides each median into two segments, with the distance from the centroid to the vertex being twice the distance from the centroid to the midpoint of the opposite side.

Let M be the midpoint of side AB, N be the midpoint of side AC, and P be the midpoint of side BC. Then, we have:

CD = 2DP

CE = 2DN

We are also given that DE = 15. Since D is the centroid, we have:

AD = BD = CD/3

AE = CE/3

DC + DP = PC

CE + DN = NE

AD + AE = DE

Using these relationships, we can find CD and CE:

CD = 2DP = 2(PC - DC) = 2((AD + DP) - (AD/3)) = 2(2AD/3) = 4AD/3

CE = 2DN = 2(NE - CE) = 2((AE + DN) - (AE/3)) = 2(2AE/3) = 4AE/3

To find AD and AE, we can use the fact that AD + AE = DE and AD = BD:

AD + BD = DE

AD + (2AD/3) = 15

5AD/3 = 15

AD = 9

AE = DE - AD = 15 - 9 = 6

Substituting these values into the equations for CD and CE, we get:

CD = 4AD/3 = 4(9)/3 = 12

CE = 4AE/3 = 4(6)/3 = 8

Therefore, CD = 12 and CE = 8.

To know more about centroid follow

https://brainly.com/question/18537682

#SPJ1

Answer:

a = 1.5 hours

Step-by-step explanation:

Table for the rain in Seattle shows a proportional relation between "Time" and "Rain".

After 6 hours, 4 inches of rain has fallen.

Rain ∝ Time

Or

R ∝ T

R = kT [Where k = proportionality constant]

T = \(\frac{R}{k}\)

For T = 6 hours and R = 4 inches

k = \(\frac{R}{T}\)

k = \(\frac{4}{6}\)

  = \(\frac{2}{3}\)

Similarly, R = 1 inch,

T = \(\frac{1}{\frac{2}{3}}\)

T = \(\frac{3}{2}\) = 1.5 hours

Therefore, a = 1.5 hours will be the answer.

Option (B) will be the correct option.

Answer:

33/6

Step-by-step explanation:

Multiply the whole number and denominator, then add the numerator. Put that number over the original denominator of the mixed fraction

Multiply 5 and 6

5*6=30

Add 3

30+3=33

Add the denominator

33/6

Answer: 33/6(33 over 6)

We know that every equation expressed in terms of x can be graph in an x-y plane, in this case the equation is

if we want to move it up or down we add or substract the quantity of unities we are moving it. If we want to move it down two unities we substract 2 on the whole equation:

If we want to move it to the left or to the right we add or substract the quantity of unities we are moving it to the x term. If we add it means it is going to the left and if we substract it means it is going to the right. If we want to move it one unity to the right then we substract 1 from the x :

Then, the function:

is the result of moving

f(x) = x³

1 unit to the right and 2 units down

Answer:

7.2

Step-by-step explanation:

6^2+4^2=c^2

36+16=c^2

52=c^2

x=7.2

Answer:

hope this helps you