A trip to Lauren’s grandfathers house is 3,074 miles round trip. If the family visits him 4times each year, how many miles do they travel to see him one year ?

Answer:

[tex]\$\ 6400[/tex]

Step-by-step explanation:

1. Approach

The easiest way to solve this problem is to find the area of the first room with the dimensions of (12ft) by (14ft). Then one will divide the cost of carpeting the room by the area of the room, this will yield the price of carpeting per square foot. After finding the price of carpeting per square foot, one will find the area of the second room, with the dimensions of (48ft) by (56ft). Finally, one will multiply the price per square foot of carpeting by the area of the second room to find the price for carpeting the second room.

2. Find the area of the first room

Assume that the first room is a rectangle. the following formula can be used to find the area of a rectangle,

[tex](length)(width)=Area[/tex]

The following are the dimensions of the given room,

[tex]length = 14\\width = 12[/tex]

Substitute into the formula to find the area and simplify to solve,

[tex](length)(width)=Area[/tex]

[tex](14)(12)=Area_1[/tex]

[tex]168=Area_1[/tex]

3. Find the price of carpeting per square foot

To find the price of carpeting per square foot, divide the total price for carpeting the first room by the area of the first room.

[tex]\frac{carpeting\ price_1}{area_1}[/tex]

[tex]=\frac{400}{168}[/tex]

Simplify,

[tex]=\frac{400}{168}[/tex]

[tex]=\frac{50}{21}[/tex]

4. FInd the area of the second room

Assume that the second room is also a rectangle. Use a similar strategy to find the area of this room as used for the area of the first room.

[tex](length)(width)=Area[/tex]

[tex]length = 48\\width = 56[/tex]

Substitute and simplify to sovle,

[tex](length)(width)=Area[/tex]

[tex](48)(56)=Area_2[/tex]

[tex]2688=Area_2[/tex]

5. Find the price for carpeting the room

Multiply the area of the room by the price for carpeting per square foot to find the price for carpeting the second room.

[tex](Area_2)*(carpeting\ price)[/tex]

[tex]2688=Area_2[/tex]

[tex]\frac{50}{21}=carpeting\ price[/tex]

[tex](Area_2)*(carpeting\ price)[/tex]

[tex]=(2688)*(\frac{50}{21})[/tex]

Simplify to solve,

[tex]=(2688)*(\frac{50}{21})[/tex]

[tex]=(2688)*(\frac{50}{21})[/tex]

[tex]=6400[/tex]

9514 1404 393

Answer:

  r ≈ 19.6% per day

Step-by-step explanation:

The growth of the population can be modeled by ...

  P = P0 × (1 +r)^t

where P0 is the initial population, r is the growth rate (per day), and t is the number of days. Using the given numbers, we can find r to be ...

  600,000 = 100,000 × (1 +r)^10

  6^(1/10) = 1 +r

  r = 6^0.1 -1 ≈ 0.196231

The growth rate per day is about 19.6%.

Answer:

58

Step-by-step explanation:

I think you add it when you add it you get 58. You add the angles

Answer:

A positive number.

Step-by-step explanation:

Absolute value means that no matter if the number is positive or negative, it will always be positive, e.g. | -4 | would be 4 or | 4 | would also be 4.

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

Answer:

D ig?

Step-by-step explanation:

Because opposite angles are equal in parallelogram

Answer:

1.309

Step-by-step explanation:

75° =the radian of 1.309

hope it's right have a great day!

Answer:

[tex] \frac{5 {\pi}^{c} }{12} [/tex]

Step-by-step explanation:

Radian measure of 75°

[tex] = 75 \times \frac{ {\pi}^{c} }{180 \degree} \\ \\ = \frac{5 {\pi}^{c} }{12} [/tex]

[tex]750[/tex] grams is [tex]25%[/tex][tex]%[/tex] percentage of [tex]3[/tex] kilograms.

A percentage is a number or ratio that represents a fraction of [tex]100[/tex].

[tex]\text{Percentage}=\dfrac{\text{actual value}}{\text{total value}}\times 100[/tex]

[tex]3[/tex] kilograms = [tex]3000[/tex] grams

So, the required percent = [tex]\frac{750}{3000}[/tex] × [tex]100[/tex] = 25

Thus, [tex]750[/tex] grams is [tex]25%[/tex][tex]%[/tex] percent of [tex]3[/tex] kilograms.

Learn more about percentage here- https://brainly.com/question/13450942

#SPJ2

v=t^2-8t+15

[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]

[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]

[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]

[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]

[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]

[tex]\\ \sf\longmapsto s=15.3-18[/tex]

[tex]\\ \sf\longmapsto s=|-2.7|[/tex]

[tex]\\ \sf\longmapsto s=2.7km[/tex]

Answer:

[tex]4( \sqrt[5]{ {x}^{2} y} ) + 3( \sqrt[5]{ {x}^{2}y } ) \\ [/tex]

factorise out the 5th root of x²y :

[tex] = \sqrt[5]{ {x}^{2}y } (4 + 3) \\ = 7( \sqrt[5]{ {x}^{2} y} )[/tex]

Answer:

Pretty sure it would be 525/1500

Step-by-step explanation:

Read the problem outloud and you would hear that 525 is divided BY 1500, so 525 goes on top of the line since it is being divided by 1500. hope this helps!

Answer:

525 ÷ 1500

1500/525

525

-------

1500

are the correct answers.

Step-by-step explanation:

Step-by-step explanation:

Number of Elements in Power Set - For a given set S with n elements, number of elements in P(S) is 2^n. As each element has two possibilities (present or absent), possible subsets are 2x2x2.. n times = 2^n. Therefore, power set contains 2^n elements.

Answer: y = 8, x =5

Step-by-step explanation:

x+y = 13

or, x = 13-y

so

2x - y = 2

substituting x's value

2(13-y)-y = 2

or, 26-2y-y = 2

or, 26-3y=2

or, 26-2 = 3y

or, 24  = 3y

so, y = 8

now

x = 13-y

so, x = 13-8 = 5

9514 1404 393

Answer:

  (a)  103°

Step-by-step explanation:

The trapezoid is isosceles, so left-side angles are congruent to right-side angles. That is, ∠2≅∠3.

Each side of the trapezoid is a transversal between two parallel lines. The interior angles of the trapezoid are "consecutive interior angles", so are supplementary.

  ∠2 = ∠3 = 180° -77° = 103°

Answer:

3X2 =6-y

6-y

——-

-6-y = -y squared

Step-by-step explanation:

1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.

x - 2 < 5   ⇒   x < 7

x + 7 > 6   ⇒   x > -1

Together, we have -1 < x < 7, which in set notation is

[tex]\left\{x \mid -1 < x < 7\right\}[/tex]

(third choice)

Answer:

Washington had 115 hits and Sanchez had 111 hits.

Step-by-step explanation:

2s + 4 = 226

2s = 222

s = 111

s + 4 = 115

9514 1404 393

Answer:

  (a) the diagram is incorrect

Step-by-step explanation:

There is no overlap between the sets of rational and irrational numbers. The diagram is incorrect.

Answer:

28

Step-by-step explanation:

x=blue

y=white

x+y=40

30x+20y=920

30(x+y=40) ; 30x+30y=1200___[1]

30x+20y=920 ; 30x+20y=920___[2]

[1]-[2] : 30x+30y-30x-20y=1200-920

       10y=280

       y=28

painter buys 28 white gallons

Answer:

-20

Step-by-step explanation:

Since we are adding two negative integers, we can write it as -16 - 4 to make it easier.

-16 - 4 = -20

Best of Luck!

Answer:

you go this! i ant expain but its mostly false and rue but sorry

Step-by-step explanation:

Area of rectangle = Length * Width

Area = 11.3 cm * 14.8 cm

Area = 167.24

Perimeter of rectangle = 2 (L + W)

Perimeter = 2 (11.3 cm + 14.8 cm)

Perimeter = 2 (26.1 cm)

Perimeter = 52.2 cm²

Area of rectangle is 167.24 cm²

Perimeter of rectangle is 52.2 cm²

This is because the fraction 1/10 turns into 0.1

Note that in 0.1, the "1" is in the tenths place to represent "one tenth".

Answer:

Step-by-step explanation:

L = w + 10

w = w

P = 2w + 2L

P = 80 m

2L + 2w = 80                      Substitute for L

2(w + 10) + 2w = 80           Remove the brackets

2w + 20 + 2w = 80           Combine on the left

4w + 20 = 80                     Subtract 20 from both sides

4w = 80 - 20

4w = 60                              Divide by 4

w = 60/4

w = 15

L = 15 + 10 = 25

Check

2*25 + 2*15

50 + 30

80

So this checks

Answer:

-6 + 4 = -2

Step-by-step explanation:

Just start from -6 then go to the right four places and you'll get -2

Answer:

D. 3×2

This is ur answer ...

Step-by-step explanation:

12 months

7 days

19 hours

Answer:

Given [tex]f(x)=2x^3+4[/tex], the average rate of change of [tex]f[/tex] on the interval [tex][4,6][/tex] is [tex]152[/tex]

Step-by-step explanation:

Applying the average rate of change formula, we find[tex]\frac{f(6)-f(4)}{6-4}=\frac{2\cdot6^3+4-2\cdot4^3-4}2=\frac{432-128}2=\frac{304}2=152[/tex]