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Jessica ran 2 3/4 miles on Tuesday, 3 1/4 on Wednesday, and 1 1/4 on Thursday. She ran the same number of miles as the previous three days on Friday through Sunday. How many miles is Jessica run Tuesday through Sunday? Leave your answer as a mixed fraction.

Answer:

(a) Independent variable

(b) The constant factor is 12

Step-by-step explanation:

Given

[tex]m(c) = 12c + 80[/tex]

c = campers

m = total cost

Solving (a) What type of variable is the number of campers (c)

The total cost (m) is dependent on the number of campers (c) for its own value.

In other words, if c changes from 5 to say 7, the value of m will also change.

This implies that the number of campers is an Independent variable

Solving (b): Constant factor

This in other words means, rate of change (or slope)

A linear function is:

[tex]y = ax + b[/tex]

Where a represents the slope

By comparison with: [tex]m(c) = 12c + 80[/tex]

Hence, the constant factor is 12

Answer:

dependent, changes by a constant factor per camper.

Step-by-step explanation:

Answer:

[tex]S_{25}=555[/tex]

Step-by-step explanation:

Given that,

In an AP, the 6th term is 39 i.e.

[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]

In the same AP, the 19th term is 7.8 i.e.

[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]

Subtract equation (1) from (2).

7.8 - 39 = a+18d - (a+5d)

-31.2 = a +18d-a-5d

-31.2 = 13d

d = -2.4

Put the value of d in equation (!).

39 = a+5(-2.4)

39 = a- 12

a = 39+12

a = 51

The sum of n terms of an AP is given by :

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n = 25 and respected values,

[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]

Hence, the sum of first 25 terms of the AP is equal to 555.

Answer:

option D

Step-by-step explanation:

diameter of two small circle i.e 14cm

radius of two small circle =7cm

area of the small circle =πr²

area of the small circle=22/7 x7²

area of the small circle=154cm²

Area of bigger circle=22/7×14²

Area of bigger circle=616cm²

Area of shaded region =area of bigger circle -area of small circle +area of small circle

area of shaded region =616-154+154

area of shaded region=308cm²

i.e approximately 282.74cm²

Answer:

3321 / 12500

Step-by-step explanation:

P (not child, not child, not child) = 82/100 × 81/100 × 80/100

Answer:

∠1 = 148°

Step-by-step explanation:

the triangle interior angles = 180°

the unknown interior angle = 180° - 82° - 66° = 32°

∠1 = 180° - 32° = 148°  because it is supplementary to 32°  (adds together to total 180°)

Answer:

x=-4

Step-by-step explanation:

The angles have to equal eachother, so:

130=134+x

subract 134 from both sides

-4=x

Answer:

Graph the line y = -2.

Step-by-step explanation:

A line with zero slope is a horizontal line.  Find (0, -2) on the y-axis and draw a horizontal line through it.  This will fully address this question.

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.

Answer:

6 square feet

Step-by-step explanation:

Area = L * w

26    =  L * 4 1/3

26  =   L * 13/3

L  = 26 divided by 13/3

L = 26 * 3/13  =  6

answer = 6

Answer:

52 or 28

Step-by-step explanation:

An isosceles has 2 congruent angles.

There are 2 possibilities:

A) There are two 76-deg angles and one angle of a different measure.

76 + 76 + x = 180

x = 28

B) There are two congruent angles, and 76 is the non-congruent angle.

x + x + 76 = 180

2x = 104

x = 52

Answer: 52 or 28

Answer:

Don't take my word for it because I havent dont this in a while but I believe it is the top right

Answer: 197735

Step-by-step explanation: deltamath

Answer:

197735

Step-by-step explanation:

see attached image

Answer:

c. 56

Step-by-step explanation:

To Find a= it would be opposite of angle A.

We could use trig ratios for this question.

Cos B= a/c

Cos 15= a/58

a = (cos15)(58)

a=56

Answer:

Mean: 10

Median: 10.5

Mode: none

Step-by-step explanation:

there is no mode, mean is 10 and median is 10.5

Answer:

F = (-2,4); E = (-2,0); D = (2,0)

Step-by-step explanation:

F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. ... If the two sides are equal, the equation is true and thus the value is a solution.

Given:

The inequality is:

[tex]-20t>-80[/tex]

To find:

The solution for the given inequality and graph of it.

Solution:

We have,

[tex]-20t>-80[/tex]

Divide both sides by -20 and change the sign of inequality because inequality is divided by a negative number.

[tex]\dfrac{-20t}{-20}<\dfrac{-80}{-20}[/tex]

[tex]t<4[/tex]

Therefore, the solution for the given inequality is [tex]t<4[/tex].

All the value less than 4 are in the solution set. It means all the values on the left side of 4 are in the solution set.

Since 4 is not included in the solution set, therefore there is an open circle at 4.

The graph for the given inequality is shown below:

Answer:

$575

Step-by-step explanation

1150/2 = 575

Answer:

$1150

Step-by-step explanation:

because it is a buy one (for sale price), get one free

Let's solve your equation step-by-step.

10/a=15/24

Step 1: Cross-multiply.

10/a=15/24

(10)*(24)=15*a

240=15a

Step 2: Flip the equation.

15a=240

Step 3: Divide both sides by 15.

15a / 15 = 240/15

a=16

Answer:

8y+5

Step-by-step explanation:

angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.

Answer:

D 28 is your answer

Answer:

-6x-5

Step-by-step explanation:

(2x - 3)2 + 5(3 - 2x) - 14​

Distribute

2x*2 -3*2 +5*3 -5*2x -14

4x -6 +15 -10x -14

Combine like terms

4x -10x   -6 +15-14

-6x                 -5

Answer:

4y + 4x - 4

4(y + x - 1)

Step-by-step explanation:

Brainliest plz

Answer:

4x+4y-4

Step-by-step explanation:

Lets simplify step by step:

5y - 8x - 7- y + 12 x + 3 = 5y +-8x +-7 + -y + 12x + 3

Now let’s combine the like terms:

5y +-8x +-7 + -y + 12x + 3

(-8x + 12x) + (5y + -y) + (-7 + 3)

So the answer would be 4x+4y-4

Hope this helps :)

Answer:

Step-by-step explanation:

50in-3ft(12in/ft)

50in-36in

14in

Answer:

x = 63.5°

Step-by-step explanation:

To find the value of x in the given right triangle, we would apply trigonometric function.

Reference angle = x

Side length Opposite to x = 17

Hypotenuse length = 19

Apply SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

Answer:

7.10 I think its 7.10

Answer:

V ≈ 16.333 in³

Step-by-step explanation:

Formula of the Volume of a Sphere: [tex]\frac{4}{3} \pi r^{2}[/tex]

V = [tex]\frac{4}{3}[/tex] × (3.5)²π

V = [tex]\frac{4}{3}[/tex] × 12.25π

V ≈ 16.333 in³