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guapka [62]
3 years ago
8

How would I find 10% of 30 by using a proportion?

Mathematics
2 answers:
mamaluj [8]3 years ago
6 0
Set up an proportion first. It looks like this:

Part Percent
————— = —————
Whole 100%
10 is your percent, 30 is your whole, 100 is always 100, and you don’t know the part so it is x (unknown).
It now looks like this:
X 10
————— = —————
30% 100%

Step by step explanation:

1) multiply across
30 • 10 = 300

2) divide what’s left over
300 / 100 = 3
So 10% of 30 is 3.
Zepler [3.9K]3 years ago
3 0

10% × 30 =

(10 ÷ 100) × 30 =

(10 × 30) ÷ 100 =

300 ÷ 100 =

3;

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What is the Y value of the point that Partitions the directed line segment A.B. into a 1:3 ratio
xenn [34]

Answer:

y = 5

Step-by-step explanation:

AB = | 8 - (- 4) | = | 12 |= 12

Divide 12 by the sum of the parts of the ratio, 1 + 3 = 4

12 ÷ 4 = 3

Thus

y = 8 - 3 = 5

5 0
2 years ago
Here's the question. ​
OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

  • >> If for an A.P, d = -4

<u>To</u><u> </u><u>Find</u> :

  • >> T₂₀ - T₁₅

<u>Using Formula</u> :

General term of an A.P.

\star{\small{\underline{\boxed{\sf{\red{ T_n = a  + (n - 1)d}}}}}}

  • >> Tₙ = nᵗʰ term
  • >> a = first term
  • >> n = no. of terms
  • >> d = common difference

<u>Solution</u> :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

{\dashrightarrow{\pmb{\sf{ T_n = a  + (n - 1)d}}}}

{\dashrightarrow{\sf{ T_{20} = a  + (20 - 1) d}}}

{\dashrightarrow{\sf{ T_{20} = a  + (19)d}}}

{\dashrightarrow{\sf{ T_{20} = a  + 19  \times d}}}

{\dashrightarrow{\sf{ T_{20} = a  + 19d}}}

{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a  + 19d}}}}}}

Hence, the value of T₂₀ is a + 19d.

\rule{190}1

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

{\dashrightarrow{\pmb{\sf{ T_n = a  + (n - 1)d}}}}

{\dashrightarrow{\sf{ T_{15}= a  + (15 - 1) d}}}

{\dashrightarrow{\sf{ T_{15}= a  + (14) d}}}

{\dashrightarrow{\sf{ T_{15}= a  + 14 \times d}}}

{\dashrightarrow{\sf{ T_{15}= a  + 14d}}}

{\star{\underline{\boxed{\sf \pink{ T_{15}= a  + 14d}}}}}

Hence, the value of T₁₅ is a + 14d

\rule{190}1

Now, finding the difference between T₂₀ - T₁₅ :

{\dashrightarrow{\pmb{\sf{T_{20} -  T_{15}}}}}

{\dashrightarrow{\sf{(a + 19d) -  (a + 14d)}}}

{\dashrightarrow{\sf{a + 19d -  a  -  14d}}}

{\dashrightarrow{\sf{a - a + 19d -  14d}}}

{\dashrightarrow{\sf{0+ 19d -  14d}}}

{\dashrightarrow{\sf{19d -  14d}}}

{\dashrightarrow{\sf{5 \times  - 4}}}

{\dashrightarrow{\sf{ - 20}}}

{\star \: \underline{\boxed{\sf{\pink{T_{20} -  T_{15} =  - 20}}}}}

Hence, the value of T₂₀ - T₁₅ is -20.

\underline{\rule{220pt}{3.5pt}}

3 0
2 years ago
HELPPP. DO TODAY SO PLEASE HELP!!!!!!!!!!
oksian1 [2.3K]

Answer:

47/6cm or 7\frac{5}{6}cm

Step-by-step explanation:

FE= 2\frac{2}{3}

FA= 5/12

AB= 2/3

CD=2

ED=1\frac{1}{4}

BC= 5/6

All=47/6 or 7\frac{5}{6}

6 0
2 years ago
(PLEASE ANSWER ASAP) Which number is between 1/6 and 0.25?
serg [7]

If you change both to a fraction you would see that you have 1/6 and 1/4 (.25 as a fraction). So 1/5 would be in between them.

You could also change both as a decimal. 1/6 =.166666 and .25 so any number in between them would be correct such as .2 which is the same as 1/5.

8 0
3 years ago
The floor of a room is being covered with tile. An area one half
tangare [24]

Answer:

Only the floor area \frac{3}{8} has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

A = lw

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

l' = \frac{1}{2}l

w' = \frac{3}{4}w

So:

A' = \frac{1}{2}l(\frac{3}{4}w)

A' = \frac{3}{8}lw

Finally:

A' = \frac{3}{8}A


4 0
2 years ago
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