Based on the picture above, what is the area of the triangle, in units squared?​

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".

9514 1404 393

Answer:

  (x, y) = (1/2, 1)

Step-by-step explanation:

Subtract twice the second equation from the first to eliminate the x-variable.

  (2/x +3/y) -2(1/x -4/y) = (7) -2(-2)

  11/y = 11 . . . . . . . simplify

  y = 1 . . . . . . . . multiply by y/11

__

Substituting into the second equation gives ...

  1/x -4/1 = -2

  1/x = 2 . . . . . . add 4

  1/2 = x . . . . . . multiply by x/2

The solution is (x, y) = (1/2, 1).

_____

Additional comment

The attached graph seems to show that the graphs of the two equations also intersect at (x, y) = (0, 0). However, careful consideration of these equations leads to the conclusion that x=0 and y=0 are not in the domain of either equation. (Division by 0 is undefined.) So, the only solution is (x, y) = (1/2, 1).

If you were to multiply both equations by xy to eliminate fractions, you would, indeed, arrive at the conclusion that (x, y) = (0, 0) is a solution. As we noted, that "solution" is extraneous. Whenever you multiply an equation by an expression that can have the value 0, you need to be careful to exclude any "solution" that makes that expression 0.

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.

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

9514 1404 393

Answer:

  (a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

Replacement of -1/2(8x +2) by -4x -1 is use of the distributive property, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the addition property of equality, eliminating choice C. This leaves only choice A.

_____

Additional comment

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.

In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as addition, and adding negative numbers as subtraction.

Answer:1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

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

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

Explanation:

Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.

To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.

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

The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.

Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas

I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.

The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15

Lastly, we'll add up the sub-areas to get the grand total

A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area

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

Another pathway to the answer:

If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions

The order of L,W,H doesn't really matter.

Then we can use the 3D block surface area formula like so

SA = 2*(LW + LH + WH)

SA = 2*(7*5 + 7*3 + 5*3)

SA = 2*(35 + 21 + 15)

SA = 2*71

SA = 142 cm^2 is the surface area

As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.

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]

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:

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]

Answer:

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

Step-by-step explanation:

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:

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:

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:

Answer:

D ig?

Step-by-step explanation:

Because opposite angles are equal in parallelogram

Answer:

15.

(P.S: Messi is the greatest footballer of all time) :)

To get the number of people who like both Messi and Ronaldo, you will add the two figures and the remain 20 that is not in the box minus x =120

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:

UW = 67

Step-by-step explanation:

UW = 6x - 35

VW = 4x - 20

UV = 19

So that means

4x - 20 + 19 = 6x - 35

4x - 1 = 6x - 35

-1 = 2x - 35

34 = 2x

x = 17

6(17) - 35

102 - 35 = 67

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

19 + ( 4x - 20 ) = 6x - 35

4x - 1 = 6x - 35

2x = 34

x = 17

UW = 6(17) - 35 = 67

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.

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]

Time taken:  2[tex]\frac{1}{3}[/tex] minutes = 7/3 minutes

Water released: 9[tex]\frac{4}{5}[/tex] gallons = 49/5 gallons

Rate of water flowing out:

Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)

plugging the given values

Rate = [tex]\frac{\frac{49}{5} }{\frac{7}{3} }[/tex] = [tex]\frac{49}{5} * \frac{3}{7}[/tex]

Rate = 21/5 = 4.2 gallons/minute

Answer:

Time taken: 2\frac{1}{3}

3

1

minutes = 7/3 minutes

Water released: 9\frac{4}{5}

5

4

gallons = 49/5 gallons

Rate of water flowing out:

Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)

plugging the given values

Rate = \frac{\frac{49}{5} }{\frac{7}{3} }

3

7

5

49

= \frac{49}{5} * \frac{3}{7}

5

49

∗

7

3

Rate = 21/5 = 4.2 gallons/minute

Step-by-step explanation:

i hope it helps

C. ....................

Regarding aggregate supply in long and short run (C) is the correct option.

The whole supply of goods and services produced within an economy at a certain overall price in a given period is known as aggregate supply, also known as total output.

What is the TRUE statement below regarding aggregate supply in the long and short run ?

During short run there is no relationship between price level and RGDP.

The intersection of the aggregate demand and short-run aggregate supply curves determines real GDP and price level in the short run. However, keep in mind that in the near run, sticky pricing may impede the economy from attaining its natural level of employment and output.

Hence we can say that In the short run, there is no relationship between price level and RGDP , (c) option is the correct answer.

Learn more about the aggregate supply at

https://brainly.com/question/11889136

#SPJ2

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°

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.

[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:

10800

Step-by-step explanation:

The decimal for the first one is 0.4, and the fraction is 2/5.

The second one is also 0.4 and 2/5.

Yes, this means that both of these models are equal to each other. This is because Model 1 is equal to 4/10, while Model 2 is equivalent to 40/100. 4/10 is the same thing as 40/100, though. It's just a little bit more simplified, but the fully simplified answer would be 2/5.

So, therefore, the final answer is that both of these models are equal.

Anyways, I hope that this has helped you.