Are the ratios 5:4 and 17:12 equivalent?

Answer:

Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Step-by-step explanation:

We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.

Solving:

[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]

We can write it as:

[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]

Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]

[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]

Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same

[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]

So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Answer:

y = 4x - 14

Step-by-step explanation:

Use point-slope form and substitute the values.

y - 2 = 4(x - 4)

y - 2 = 4x - 16

y = 4x - 14

Answer:

D.

Step-by-step explanation:

You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10

Answer:

Initial values of Athlete a and b is 16 and 12 respectively. That means, Athlete a start with more push-ups as compared to athlete b

Step-by-step explanation:

Athlete a perform 16 push-ups  to start and increase 1 push-up each day for 14 days

⇒ number of push-ups at the end of x days is for Athlete A is

n = number of push-ups for athlete A= 16 + x

Athlete b perform 12 push-ups  to start and increase 3 push-up each day for 14 days

⇒ number of push-ups at the end of x days is for Athlete B is

m = number of push-ups for athlete B = 12 + 3x

where x is the number of days

thus, total number of athletes at the end of 14 day is

n = 16+14 = 30 push-ups for athlete A and m = 12 + 42 = 54 push-ups for athlete B at the end of 14th day

Now similarly for the initial day x = 0

thus, total number of athletes at the starting of 1st day is

n = 16+0 = 16 push-ups for athlete A and m = 12+0 =12 push-ups for athlete B at the starting of 1st day.

That means, Athlete a start with more push-ups as compared to athlete b, But at the end of 14th day Athlete b do more push-ups then athlete a

Answer: The initial value for Athlete A is greater.

Pay attention for the keyword initial value.

I got no explanation D:

Answer:

-2w-20

Step-by-step explanation:

distribute => 4w-20-6w = -2w-20

Answer:

-2w - 20

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

4(w - 5) - 6w

Step 2: Simplify

Answer:

I think it is 8

Step-by-step explanation:

Im sorry if it is wrong :(

Answer:2,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Answer:

m + 10/100(m)

Step-by-step explanation:

So m represents the number of members in the club last year.

A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m

Hence the number of members in the club this year = m + 0.1m

Answer:

No

Step-by-step explanation:

plug in the variables into the equation

(x,y)

(-1,2)

2(-1)+2=2

2*-1=-2

-2+2=0

2 does not equal 0 so therefore no, it is not a solution

Answer:

y=-1x+9

Step-by-step explanation:

plug point in to y-y1=m(x-x1)

y-3=-1(x-6)

y-3=-1x+6

y=-1x+9

9514 1404 393

Answer:

  replace recipe quantities:

  1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5

Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

The numbers in the recipe (ignoring units or ingredients) are ...

  1/4, 1/2, 1, 1 1/2, 2

Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

  1/4 × 5/2 = 5/8

  1/2 × 5/2 = 5/4 = 1 1/4

  1 × 5/2 = 5/2 = 2 1/2

  (1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4

  2 × 5/2 = 5

Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

  old value ⇒ new value

  1/4 ⇒ 5/8

  1/2 ⇒ 1 1/4

  1 ⇒ 2 1/2

  1 1/2 ⇒ 3 3/4

  2 ⇒ 5

__

For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

_____

Additional comment

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

Answer:

x = -1

Step-by-step explanation:

9x + 8 = -1

Subtract 8 from each side

9x + 8-8 = -1-8

9x = -9

Divide each side by 9

9x/9 = -9/9

x = -1

Answer:

Step-by-step explanation:

the part-to-whole relationship between homework help and sports

Step-by-step explanation:

f(3)= -2×3²+3+1

= -18+3+1

= -14

hope it helps.

Answer: = ± 2 √ 2

Step-by-step explanation:

Answer: A

Step-by-step explanation: /GMK is a right angle and /HMK is 50 degrees so 90-50=40

Answer:

11

Step-by-step explanation:

Answer

ANGLE SIDE SIDE

Step-by-step explanation: Because you have an angle side side hope this helps

Answer:

The answer is B, -5 is a rational number and integer! :)

Step-by-step explanation:

Answer: My guess is integer only

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

u can make me branliyest then i will help u

Step-by-step explanation:

Answer:

Answer for the first part: x = 0 so f(x) = 4

Answer for the second part: f(-2) = 2

Step-by-step explanation:

In order to solve the first prat of the problem you will just have to find a point on the function that has a y coridnate of 4, and the x cordinate of the exactly the same point will be the answer to your question. So in our case there is only one point like that and it (0,4). So that means the value of x for whcih f(x) = 4 is x = 0.

Now in order to answer the second part of this problem you will just have to find on a function with the x coridnate being -2, and the y cordinate of the exactly the same point will be the answer. In our case there is only one point liket aht and it is the point (-2,2). So that means taht the answer to the second part of the problem is f(-2) = 2.

Answer:

12.6

Step-by-step explanation:

Given

with reference angle 57°

perpendicular (p) = y

hypotenuse (h) = 15

Now

sin 57° = p / h

0.84 = y / 15

y = 0.84 * 15

y = 12.6

Hope it will help :)

Answer:

32.01 ft

Step-by-step explanation:

Step one:

given data

Volume of 1207T ft3.

the radius is 6 ft

Step two:

The volume of a cone is given as

[tex]V=1/3 \pi r^2h[/tex]

substitute

1207= 1/3*3.142*6^2*h

1207= 37.704h

divide both sides by 37.704

1207/37.704= h

h= 32.01 ft