This weekend Karen participated in a road race the ratio of the number of miles she ran to the number of miles she walked is 4 : 5 how many miles did Karen run if she walked 10 miles

Answer:

the difference of the mean in the case of mean absolute deviation is 2.5

Step-by-step explanation:

The computation of the difference of the mean is shown below:

Difference is of

= B - A

= 47 - 42

= 5

Now the difference of the mean is

= 5 ÷ 2.5

= 2.5

Hence, the difference of the mean in the case of mean absolute deviation is 2.5

The same would be relevant

Answer:c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

In the given angles, the values of R=31⁰, x=34⁰, m<S= 38⁰, m<Y = 111⁰

We know that a triangle is a polygon whose sum of angles is equal to 180 degress , with three sides and three vertices.

The given angles are

31⁰,  (x+4)⁰,  (3x+9)⁰

The sum of angles of the triangle

31+x+4+3x+9=180⁰

44+4x=180⁰

Collecting like terms

4x=136

Dividing by 4

x=34⁰

Substituting the value of x=34 in the given angles we have

R= 31⁰,             given

 (x+4)⁰   = 34+4=38⁰,  (3*34+9)⁰=111⁰

In conclusion the values of R= 31⁰, x=34⁰ , m<S=38⁰, m<T=111⁰

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The length of side LJ in triangle JKL is approximately 12.27 centimetre .

To determine the length of side LJ in triangle JKL, we can use the concept of similarity between triangles. When two triangles are similar, their corresponding sides are proportional.

Length of side XY in triangle XYZ: 8.7

Length of side XZ in triangle XYZ: 8.2

Length of side YZ in triangle XYZ: 7.8

Length of side JK in triangle JKL: 13.05

Let's set up the proportion using the corresponding sides:

XY / JK = XZ / LJ = YZ / KL

Substituting the given values:

8.7 / 13.05 = 8.2 / LJ = 7.8 / KL

Now, we can solve for LJ:

8.2 / LJ = 8.7 / 13.05

Cross-multiplying:

8.2 * 13.05 = 8.7 * LJ

106.71 = 8.7 * LJ

Dividing both sides by 8.7:

LJ = 106.71 / 8.7

LJ ≈ 12.27

Therefore, the length of side LJ in triangle JKL is approximately 12.27cemtimetre .

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Answer:

n + 1/5n

Step-by-step explanation:

n = number

1/5n = 1/5 of a number

n + 1/5n

We could expect $30.00 to gain after 20 tosses.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

The probability of all the events occurring need to be 1.

if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.

We need to find out How much would you expect to gain after 20 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 20 tosses.

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Answer:

1/12 a cup

Step-by-step explanation:

1/3*1/4=1/12

Answer:

1/12

Step-by-step explanation:

1/3*1/4=1/12

The equation of the line in slope-intercept form is y = (-2)x + (-3)  .

The equation of a line in slope-intercept form can be written as follows,

y = mx + c                                                       equation 1

m in the above equation represents slope of the line and c represents the intercept.

The given equation is 3y + 9 = -6x .

To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as

3y + 9 = -6x

3y = -6x - 9

On dividing both sides of above equation by 3, we will get

y = (-2)x + (-3)                                                 equation 2

On equating equation 1  and equation 2, we will get

Slope of the line = m = -2

Intercept = c = -3

The equation of the line in slope-intercept form is y = (-2)x + (-3)  .      

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Given the expression :

To solve the given expression:

First add the numbers 52 and 8 then divide by 30

so, the result will be as following :

So, the answer is : 2

=========================================================

Also, we need two different word phrases for the expression

The first :

52 increased by 8 then divided by 30

The second :

The Quotient of the sum numbers (52 , 8 ) and 30

Step-by-step explanation:

if you're asking for distance then,

V = s / t

50 mph = s / 3 hrs

50 mph × 3 hrs = s

150 miles = s

Answer:

\(\dfrac{1}{2}\)

Step-by-step explanation:

It is given that triangle ACB is the preimage and triangle DFE is the image.

We need to find the scale factor of the dilation.

\(\text{Scale factor}=\dfrac{\text{Side of image}}{\text{Corresponding side of preimage}}\)

In the given triangles, side AC and DF are corresponding sides.

\(\text{Scale factor}=\dfrac{DF}{AC}\)

\(\text{Scale factor}=\dfrac{6}{12}\)

\(\text{Scale factor}=\dfrac{1}{2}\)

Therefore, the scale factor of the dilation is \(\dfrac{1}{2}\).

Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.

To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.

Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.

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Answer:

-65

Step-by-step explanation:

h(t) = (-5)^3 -2(-5)

h(t) = -75 +10

h(t) = -65

Answer:

10

8

84.66

Lower

Answer: The student rounded 10.2 to

✔ 10

.

The student rounded 8.3 to

✔ 8

.

The actual product of (10.2)(8.3) is

✔ 84.66

.

The student’s estimate is

✔ lower

than the actual product.

Step-by-step explanation:

The value of x is equal to 98°.

In Mathematics and Geometry, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the pairs of alternate interior angles that are formed are congruent:

Assuming these lines are AB and CD, we would draw a transversal HI that is parallel to both lines AB and CD, then, we have:

m∠FEI = 62° (alternate interior angle theorem)

m∠EPC + m∠GEI = 180° (supplementary angles)

m∠GEI = 180° - 144°

m∠GEI = 36°.

Now, we can determine the value of x;

x = m∠FEI + m∠GEI

x = 62° + 36°

x = 98°

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B(71,w) = 0.013812w gives a 71-inch person's body mass index when w is their weight in pounds (w ≥ 0).

To find the cross-sectional model B(71,w), you need to substitute h = 71 inches in the given equation B(h,w) = 697.5wh^{-2}.

Step 1: Substitute h = 71 in the given equation:
B(71,w) = 697.5 * (71)^(-2) * w

Step 2: Calculate the coefficient by evaluating (71)^(-2) and multiplying by 697.5:
Coefficient = 697.5 * (1/(71^2)) ≈ 0.013812

Step 3: Write the cross-sectional model using the calculated coefficient (rounded to six decimal places):
B(71,w) = 0.013812 * w

B(71,w) = 0.013812w gives a 71-inch person's body mass index when w is their weight in pounds (w ≥ 0).

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Answer:

20ft.

Step-by-step explanation:

Sine = Opposite / Hypothenuse

Opposite = Height = 10ft

Hypothenuse = Length of ladder

Therefore, sin30° = 10ft / Length = 1/2

Length = 20ft

Answer:

asking if there are any questions

Answer:

The surface area is 88ft.

Just to let you know just in case if you have the same question is that the formula of finding the surface area of a rectangular prism is A = 2(wl + hl + hw)

Answer:

0= 30

Step-by-step explanation:

-7(3x+5) +20=5)3-5x)+4x

-21x-35+20=5)3-5x)+4x

Add the numbers

-21x-35+20=5)3-5x)+4x

-21x-15=5)3-5x)+4x

Rearrange terms

-21x-15=5)3-5x)+4x

-21x-15=5(-5x+3)+4x

Distribute

-21x-15=-25x+15+4x

Combine like terms

-21x-15=-21x+15

Add 15 to both sides of the equation

-21x-15+15=-21x+15+15

Simplify

Add the numbers

-21x=-21x+30

add 21 to both sides of the equation

-21x+21x= 21x+30+21x

Simplify

combine like terms

0=30

Answer:

just look that up and walla insta answer

Answer:

please see photo attached for detailed analysis.

A reasonably motivated hypothesis is that the local government or authorities are investing in improving transportation infrastructure.

The presence of new and well-maintained roads and trails suggests that there is an effort to provide better access and mobility for residents and visitors. This could be due to a growing population, increased tourism, or simply a commitment to improving the area's infrastructure.

Additionally, the fact that these blacktop areas appear to be well-used and well-maintained further supports this hypothesis. It suggests that the authorities are investing in ongoing maintenance to ensure the safety and usability of these transportation facilities.

Overall, while more information would be needed to confirm this hypothesis, the observations of the blacktop pictures suggest that there is a commitment to improving transportation infrastructure in the area.

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Answer:

tan(9pi/12) = 0.041146549

Step-by-step explanation:

Answer:

a = 5

b = 5

Step-by-step explanation:

Answer:

(x - 2) or (x + 5)

Step-by-step explanation:

Step 1: Write quadratic

x² + 3x - 10

Step 2: Factor

(x - 2)(x + 5)

Answer:  x2 + 3x – 10= (x+5)⋅(x−2)= -6

so x=-6

Step-by-step explanation:  "x2"   was replaced by   "x^2".

Factoring  x2+3x-10  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -10  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -10 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   3 .

     -10    +    1    =    -9  

     -5    +    2    =    -3  

     -2    +    5    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  5  

                    x2 - 2x + 5x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+5)  •  (x-2)

            Which is the desired factorization

so (x + 5) • (x - 2)= x=-6

Answer:

1561

Step-by-step explanation:

Answer:

integers

they include all whole numbers and their negative counterpart

Answer:

Step-by-step explanation:

the correct name for the set of numbers is integers numbers.