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1 year ago

The number of black cards in a pile is 4 times the number of red cards. There are 36

Mathematics

2 answers:

SOVA2 [1]1 year ago

8 0

There are 9 red cards
4r=36

kompoz [17]1 year ago

3 0

The required number of red cards is 9 in the pile.

Given that,
The number of black cards in a pile is 4 times the number of red cards. There are 36 black cards in the pile.
To determine how many red cards are there.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Let the number of the red cards be r, and the number of the black cards be b
Black cards in a pile are 4 times the number of red cards.
b = 4r
Now,
There are 36 black cards in the pile.
b = 36
4r = 36
r = 36 / 4
r = 9

Thus, the required number of red cards is 9 in the pile.

Learn more about arithmetic here:

brainly.com/question/14753192

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Write down a simplified expression for the perimeter of this triangle:

Vinil7 [7]

Answer:

10x+11y-3w

Step-by-step explanation:

you just have to add the side up and do it by matching up with the values of the variable

8 0

2 years ago

Here's the question.

OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using Formula :

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

Solution :

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

The price of an item yesterday was $60. today, the price rose to $129. Find the percentage increase

rjkz [21]

Answer:

115% increase.

Step-by-step explanation:

129 - 60 = 69 / 60 = 1.15

1.15 x 100 = 115

8 0

2 years ago

In a company 85% of the workers are men if 510 women work for the company how many workers are there in all

tester [92]

Answer:

3400 workers

Step-by-step explanation:

85% of men that means 15% are women

15% = 510

15/100= 510/x

100x510=51000

51000/15 =3400

x=3400

3 0

2 years ago

In if GS ⊥ XJ and XJ⊥EA what is true about GS and EA

svlad2 [7]

Answer:

( $GS$ ) || ( $EA$ )

Step-by-step explanation:

When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines ( $GS$ ) and ( $EA$ ) are parallel.

The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.

6 0

2 years ago

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