simplify 16/5 +30/7+3/2-13/5​

Scale drawing takes scaled versions of original lengths. The actual length of the swing set area of the park is 25 ft long and 100 ft wide

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For the given case, it is given that

Real dimension of a rectangular park : 600 ft by 1000 ft

In drawing, it was of 12 inches by 20 inches.

Let the scale that the drawing is using be k feet to s inches, then

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

Since it is given that 600 ft : 12 inches and 1000 ft : 20 inches, thus, we get:

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.\\\\600 \: ft = \dfrac{600\times s}{k} \: in. = 12 \: in.\\\\\dfrac{600 \times s}{k} = 12\\\\\dfrac{s}{k} = \dfrac{12}{600} = 0.02[/tex]

Thus, every feet is reduced 0.02 times in drawing.

Now,

it is given that in drawing, the rectangular area for swing sets is 0.5 inch to 2 inch.

Let its real length was L and real width was W. Then we have:
[tex]\rm L \times 0.02 = 0.5 \\\\L = \dfrac{0.5}{0.02} = 25 \:\\\\W \times 0.02 = 2 \\W = \dfrac{2}{0.02} = 100[/tex]

Since these are only magnitudes, and unit was converted from feet to inches, so we have L = 25 feet and W = 100 feet

Thus,

The actual length of the swing set area of the park is 25 ft long and 100 ft wide

Learn more about scaling here:
https://brainly.com/question/8765466

Answer:

the answer is 20

Step-by-step explanation:

Answer:

y < 8 and D is my answer

Step-by-step explanation:

-8y > -64

-8. -8

when we reach at this stage, like terms cancel each other to make y subject of the formula

thus

And because y is becoming a postive value, the sign wI'll change to <

y < 8

Answer:

y = 2

Step-by-step explanation:

Kindly view the attached image to see the rules when looking for the horizontal asymptote.

In this situation we have 2x² / x²

The powers of both are equal to each other therefore the horizontal asymptote will be at the coefficient of the numerator divided by the coefficient of the denominator.

In other words the horizontal asymptote is at y = 2/1 or just 2

Answer:

6600?

Step-by-step explanation:

110 x 12 = 1320

1320 x 5 = 6600

(I suck at math)

The first one is 1:4 and the second is 4:1.

All there is to do is simple division (or simplifying). In the first set of two numbers side length is 6 and perimeter is 24. So if it's side length to perimeter then 6 to 24 which can be simplified to 1 to 4 and just switch the numbers with perimeter to side length.

Answer:

1. Side length to perimeter = 1:4

2. Perimeter to side length = 4:1

Step-by-step explanation:

Ok, so ratios are basically a way to compare two things.

For example, if someone askes the ratio of boys to girls in Mrs. White's class. Say there are 12 boys and 9 girls.

boys to girls = 12 to 9

That's a ratio!

Ratios are typically written like "12 to 9" (with the word "to") or "12:9" (with a colon) but there are also other ways.

In THIS question, you have to find the ratio of side length to perimeter and then vice versa. So, we see that the first number listed for side length is 6, and the first number for perimeter is 24. As we look down the chart, we should notice a pattern- the perimeter is 4 times as much as the side length! Therefore, the ratio of side length to perimeter is 1:4. To find the ratio of perimeter to side length, we just switch the order of the numbers. Now it's 4:1.

There! It's pretty simple! You just are finding the unit ratio!

If you need any more help, let me know! :)

Answer:

48.2° (1 d.p.)

Step-by-step explanation:

Start by labelling the given sides on the triangle.

The side in which the angle of interest and the right angle sits on is the adjacent side, while the side facing the right angle is the hypotenuse side (denoted by hyp).

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

[tex]\cosθ = \frac{6}{9} [/tex]

[tex]θ = \cos^{ - 1} ( \frac{6}{9} )[/tex]

θ= 48.2° (1 d.p.)

Answer:

f(5) = 17

Step-by-step explanation:

Using the recursive rule and f(1) = 5 , then

f(2) = f(1) + 3 = 5 + 3 = 8

f(3) = f(2) + 3 = 8 + 3 = 11

f(4) = f(3) + 3 = 11 + 3 = 14

f(5) = f(4) + 3 = 14 + 3 = 17

Answer:

4

Step-by-step explanation:

Exponential functions are written in the form  [tex]f(x)=ab^x[/tex]

[tex]a[/tex] is the initial value of an exponential function and is found by substituting [tex]x=0[/tex] into the function as [tex]b^0=1[/tex]

Therefore, as y = 4 when x = 0, the initial value is 4

Formula:

[tex] \frac{5000}{2000} [/tex]

[tex] = > \frac{5}{2} [/tex]

[tex] = > 2.5[/tex]

Hence, 5000 Pound is equal to 2.5 Ton.

Step-by-step explanation:

The unit of weight in the avoirdupois system equal to 2,000 pounds in the United States and 2,240 pounds in Britain. The metric ton used in most other countries is 1,000 kg, equivalent to 2,204.6 pounds.

Answer: 2 1/2

Step-by-step explanation:

Answer:

First one
2x+3

Step-by-step explanation:

We can factorise the area:

6x²+9x-4x-6

3x(2x+3)-2(2x+3)

(3x-2)(2x+3)

So the width is 2x+3

Answer:

$5 for a flashlight and $22.90 fir a sleeping bag

f(x) = abˣ

"A scientist begins with 130 milligrams", or we can word it differently.

when x = 0, f(x) = 130, which in short simply means a = 130.

"After 30 hours, 65 mg of the substance remains", worded differently.

when x = 30, f(x) = 65.

[tex]f(x)=ab^x~\hspace{10em}\underline{f(x)=130b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} ~\hfill x&=30\\ f(x)&=65 \end{cases}\qquad \implies 65=130b^{30}\implies \cfrac{65}{130}=b^{30}\implies \cfrac{1}{2}=b^{30}[/tex]

[tex]\sqrt[30]{\cfrac{1}{2}}=b\implies \cfrac{\sqrt[30]{1}}{\sqrt[30]{2}}=b\implies \cfrac{1}{\sqrt[30]{2}}=b~\hfill \underline{f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^x} \\\\[-0.35em] ~\dotfill\\\\ \textit{when x = 56, what is f(x)?}\qquad f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^{56}\implies f(x)\approx 35.647[/tex]

Explanation:

Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.

If she slows down, then the graph will move downhill when going left to right.

Always move from left to right when reading a graph because this is how the time axis is set up.

Any flat part represents portions where her speed is constant, i.e. doesn't change.

With all that in mind, the answer is choice D because

Answer:

0.00355514147

Step-by-step explanation:

Do Long Division

Answer:

9

Step-by-step explanation:

3 times 3 is 9

Answer:

9in.²

Step-by-step explanation:

just multiply the length n height = 3 × 3

= answer

Answer:

(8, 5): No

(8, 0): Yes

(4, -2): Yes

(-6, -4) No

Step-by-step explanation:

For this question, it is very easy, you just substitute the values under (x,y) into the equation above

The equation is: 3x - 7y > 10

And the x and y values are

(x, y)

(8, 5)

(8, 0)

(4, -2)

(-6, -4)

x values: 8, 8, 4, -6

y values: 5, 0, -2, -4

An ordered pair tells you the location of a point by relating the point's location along the x-axis (the first value of the ordered pair) and along the y-axis (the second value of the ordered pair). In an ordered pair, such as (x, y), the first value is called the x-coordinate and the second value is the y-coordinate.

Now that we know everything, we set up the equation to see if the ordered pair is a solution or not

3x - 7y > 10

Let's substitute (8, 5) into the equation

3(8) - 7(5) > 10

Multiply the numbers

3(8) becomes 24 and -7(5) becomes -35

24 - 35 > 10

-11 > 10

False

So the ordered pair (8,5) is not a solution to the equation

Now for the next ordered pair: (8, 0)

3x - 7y > 10

Let's substitute (8, 0) into the equation

3(8) - 7(0) > 10

3(8) becomes 24 and -7(0) becomes 0

24 - 0 > 10

24 > 10

True

So the ordered pair (8, 0) is a solution to the equation

Now for the next ordered pair: (4, -2)

3x - 7y > 10

Let's substitute (4, -2) into the equation

3(4) - 7(-2) > 10

3(4) becomes 12 and -7(-2) becomes a positive 14, and remember that a negative times a negative becomes a positive

12 + 14 > 10

26 > 10

True

So the ordered pair (4, -2) is a solution to the equation

Now for the next ordered pair: (-6, -4)

3x - 7y > 10

Let's substitute (-6, -4) into the equation

3(-6) - 7(-4) > 10

3(-6) becomes -18 and -7(-4) becomes a positive 28

-18 + 28 > 10

10 > 10

False

Since they are the same number, they should be equal to

So the ordered pair (-6, -4) is not a solution to the equation

Answer:

s= -5

Step-by-step explanation:

-7s + 3s - 6 = 14

-4s = 20

s = -5

Answer:

-5

Step-by-step explanation:

-7s+3s-6=14

combine like terms

-4s-6=14

add 6 to both side

-4s=20

divide by 4

-1=5

x-1

1=-5

(-7x-5)+(3x-5)-6

(-4x-5)-6=14

20-6=14

Answer:

x=6, y=3

Step-by-step explanation:

6x +2y=42------(1)

8x-4y=36-------(2)

We can actually simplify it, this makes it easier to do and can avoid alot of careless mistakes

3x+y=21---(1)

2x-y=9----(2)

next, we can see that y can be eliminated

(1)+(2),

5x=21 +9

x = 30/5

x=6

substitute x=6 into (2),

2(6)-y=9

y=3

Lastly ,make a conclusion

Thus, x=6, y= 3

[tex] 6x + 2y = 42 \\ 8x - 4y = 36[/tex]

Simplify the first equation

[tex]y = 18 \\ 8x - 4y = 36[/tex]

Multiply both sides of second equation by 1/4

[tex]y = 18 \\ 2x - y = 9[/tex]

Sum the equations vertically to eliminate at least one variable

[tex]x = \frac{27}{2} [/tex]

The possible solution of the system is the ordered pair (x,y)

[tex] (x,y) = ( \frac{27}{8} , 18)[/tex]

[tex]ax^2+bx+c=a(x-x_1)(x-x_2)=>\\\text{Ans:} (x-3)(x+2)[/tex]

Answer:

15.65 foot

Step-by-step explanation:

Pythagoras theorem can be used

a² + b² = c²

a being 14
b being unknown ( x )
c being 21

hence,

14² + x² = 21²
196 + x² = 441

x = √245  

  = 15.65 foot (answer)

Answer:

-3/8

Step-by-step explanation:

(-2/3)³ / x = (9/8) -²

-2³/3³ = (2³/3²)²x

-2³/3³ = (2^6/3^4)x

-2³ × 3^-3 × 3^4 × 2^-6 = x

-2^-3 × 3 = x

x = -3/8

Answer: m<XVY = 82°

Step-by-step explanation: The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.

Since the measures of the intercepted arcs are 86° and 78°,

we can setup the equation m<XVY = 1/2(86 + 78).

So we get m<XVY = 1/2(164) or m<XVY = 82°

w = 55

y = 55

X = 125

z = 125

Step-by-step explanation:

Angles with in a cube add up to 360 degrees

Answer:

w = 55 (vertical to 55)

y = 55 (corresponding to 55)

x = 125

z = 125

Step-by-step explanation:

55+55=110

a parallelogram = 360

360-110=250

x+z=250

x=z

250/2=125

Answer:

x = 1

y = 2

Step-by-step explanation:

for the first one it is that because 4 * 1 = 4 and then 2 * 2 equals 4 so 4 + 4 = 8

For the second one it is that because 8 * 1 = 8 and then 4 * 2 = 8 so 8 + 8 = 16!

If this helped you please mark brainliest!

Answer:

x = 1

y = 2

Step-by-step explanation:

cuz that is the answer i found

Given, A + B = 90°

Putting values, we get

7x + 4 + 4x + 9 = 90°

11x + 13 = 90°

11x = 90 - 13 = 77°

x = 7°

Now, m<A = 7x + 4

= 7(7) + 4 = 53°

Hope this helps :)

Answer:

m∠A = 53°

Explanation:

complement angle: : two angles that add up to 90 degrees.

solve:

7x + 4 + 4x + 9 = 90

7x + 4x = 90 - 9 - 4

11x = 77

x = 7

Find m∠A:

7x + 4

7(7) + 4

49 + 4

53°

Answer:

441 (I think)

Step-by-step explanation:

I saw the answer in a quora post

Answer:

y=-2/5x+5

Step-by-step explanation:

-2/5x because the slope is -2/5

5; solve for B by plugging in x=-5, y=7 into y=-2/5x+B

Answer:associative property of addition

Step-by-step explanation:The associative property of addition says that changing the grouping of the addends does not change the sum.