1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnZ [28]
3 years ago
9

The ratio of 1 3/4 to 2 1/2 is equal to the ratio of 14 to what number?

Mathematics
1 answer:
Lynna [10]3 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

  1 3/4         14

------------ = --------

  2 1/2           x

where x is the unknown number.

Converting the mixed numbers to improper fractions, we get:

7/4       14

------ = -----

5/2        x

Here there are two numerators and two denominators.  Multiplying all four quantities by 4 will remove some of the fractions:

 7        56

------ = -------

 10       4x

Cross multiplying, we get:

28 x = 560, or x = 20

You might be interested in
Andy had some basketball cards. After he bought 12 more, he had 48 cards. How many cards did Andy have at the start? Write an al
Lelu [443]

Answer:

Step-by-step explanation:

5 0
2 years ago
Simplify. 5√ 10 <br> 1) 2√ 2) 2√2 3) 10√2 4) 5√
Nataly_w [17]

For this case we have that the expression in its exact form is the same, that is:

5 \sqrt {10}

If it is expressed in decimal form we have:

5 \sqrt {10} = 1.5849

If we want equivalent expressions, we must first mention the following property of powers and roots:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

Then, we can rewrite the expression as:

5 \sqrt {10} = \sqrt {5 ^ 2 * 10} = \sqrt {25 * 10} = \sqrt {250}

Answer:

5 \sqrt {10} = \sqrt {250} = 1.5849

8 0
3 years ago
Help fast pls i dont have much time​
Ugo [173]

Answer:

5 yards

Step-by-step explanation:

7 0
3 years ago
The question is given in the picture.
lorasvet [3.4K]
This is a really interesting question! One thing that we can notice right off the bat is that each of the circles has the same amount of area swept out of it - namely, the amount swept out by one of the interior angles of the hexagon. Let’s call that interior angle θ. We know that the amount of area swept out in the circle is proportional to the angle swept out - mathematically

θ/360 = a/A

Where “a” is the area swept out by θ, and A is the area of the whole circle, which, given a radius of r, is πr^2. Substituting this in, we have

θ/360 = a/(πr^2)

Solving for “a”:

a = π(r^2)θ/360

So, we have the formula for the area of one of those sectors; all we need to do now is find θ and multiply our result by 6, since we have 6 circles. We can preempt this but just multiplying both sides of the formula by 6:

6a = 6π(r^2)θ/360

Which simplifies to

6a = π(r^2)θ/60

Now, how do we find θ? Let’s look first at the exterior angles of a hexagon. Imagine if you were taking a walk around a hexagon. At each corner, you turn some angle and keep walking. You make 6 turns in all, and in the end, you find yourself right back at the same place you started; you turned 360 degrees in total. On a regular hexagon, you’d turn by the same angle at each corner, which means that each of the six turns is 360/6 = 60 degrees. Since each interior and exterior angle pair up to make 180 degrees (a straight line), we can simply subtract that exterior angle from 180 to find θ, obtaining an angle of 180 - 60 = 120 degrees.

Finally, we substitute θ into our earlier formula to find that

6a = π(r^2)120/60

Or

6a = 2πr^2

So, the area of all six sectors is 2πr^2, or the area of two circles with radii r.
5 0
3 years ago
From a standard deck of 52 cards, what is the probability of picking a King at random from the deck?
MaRussiya [10]

Answer:

1/13

Step-by-step explanation:

there are 4 kinds and 52 cards so its 4/52 which simplifies to 1/13

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is angle b in this image​
    15·2 answers
  • Number 8.... really confused.
    15·2 answers
  • HELPPPPPP PLEASEEEEEEEEEE
    5·1 answer
  • The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +
    8·1 answer
  • Help me please help me thanks again help me thanks
    11·1 answer
  • Calculate the value of x
    9·2 answers
  • 2/3x - 2 = 3/7 rewrite without fractions
    13·1 answer
  • Pls help i’m so confused!!
    14·1 answer
  • What two integers is 3 1/2 between?
    8·1 answer
  • Help i give 5 stars and a crown​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!