What is the greatest common factor for this set of terms:

35% is 7 out of what number?

o-na [289]

Answer:

The number is <u>20</u>.

Step-by-step explanation:

In this question, it is said that 35% of a number is equal to 7, then what is that number?

So, let the number be <em>x</em>.

Now, according to the question :

$\begin{gathered} \begin{array}{l} \quad{\dashrightarrow{\sf{35 \% \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100} \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100} \times x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35 \times x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{x = 7 \times \dfrac{100}{35}}}}\\\\\quad{\dashrightarrow{\sf{x =\dfrac{700}{35}}}}\\\\ \quad{\dashrightarrow{\sf{x = \cancel{\dfrac{700}{35}}}}}\\\\ \quad{\dashrightarrow{\sf{x =20}}}\\\\ \quad{\star{\underline{\boxed{\tt{\red{x =20}}}}}} \end{array}\end{gathered}$

Hence, the number is 20.

$\rule{300}{2.5}$

3 0

2 years ago

Read 2 more answers

An isosceles triangle has an area of 254 km², and the angle between the two equal sides is 53°. Find the length of the two equal

torisob [31]

Area of a triangle = 1/2 ab sinC

In this equation the angle C is between the two adjacent sides ab
Since the lengths are equal we can call them both X
Hence 254= 1/2 (x)(x) sin53
By simplifying 508 = (x^2) sin53
So therefore x is the square root of 508 divided by sin53 which means the length of the sides is 35.8km to 3 significant figures

8 0

3 years ago

11-Determine the specific heat of a material if a 12-g sample absorbed 96 J as it was heated from 20°C to 40°C. *

kompoz [17]

Answer:

$c=0.4\ J/g^{\circ} C$

Step-by-step explanation:

Given that,

Mass of a sample, m = 12 g

Heat absobed by the sample, Q = 96 J

It was heated from 20°C to 40°C.

We need to find the specific heat of a material. The heat absorbed by a sample is given by :

$Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{96}{12\times (40-20)}\\\\=0.4\ J/g^{\circ} C$

So, the specific heat of the material is $0.4\ J/g^{\circ} C$ .

3 0

3 years ago

A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order

ELEN [110]

The correct answer is B, 14 boxes of pens

8 0

3 years ago

Read 2 more answers

What is the total length of nine pieces of chain each measuring 13 yards, 1 foot, 5 inches? Convert the answer to larger units w

dimulka [17.4K]

Answer: The total length of nine pieces of chain is 121.248 yards.

Explanation:

Since we have given that

Length of each chain = 13 yards, 1 foot, 5 inches

As we know that

$1\ inch=\frac{1}{12}\ foot\\\\5\ inches=\frac{5}{12}=0.4167\ foot\\\\\text{Total foot = 1+0.4167 =1.4167 foot}\\\\And\\\\1\ yard=3\ foot\\\\1\ foot=\frac{1}{3}\ yard\\\\1.4167\ foot=\frac{1.4167}{3}=0.472\ yards\\\\So,\\\\13\ yards+0.472=13.472\ yards$

On Converting it into larger units, we get 13.472 yards

Now, Number of pieces of chain =9

Length of 9 pieces is given by

$13.472\times 9=121.248\ yards$

Hence, Nine pieces of chain are 121.248 yards long .

6 0

3 years ago