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3 years ago

Solve 10a -7 = 21 - ба

Mathematics

2 answers:

Orlov [11]3 years ago

4 0

Answer:

a = 7/4

Step-by-step explanation:

10a -7 = 21 - 6а

Add 6a to each side

10a+6a -7 = 21 - 6а+6a

16a -7 = 21

Add 7 to each side

16a+7-7=21+7

16a = 28

Divide each side by 16

16a/16 = 28/16

a = 7/4

Pavlova-9 [17]3 years ago

3 0

Answer:

A=1.75

Step-by-step explanation:

$10a + 6a = 21 + 7 \\ 16a = 28 \\ divide \: both \: sides \: by \: 16 \\ a = 1.75 \: or 1 \ \frac{3}{4}$

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There are 52 cards in a standard deck: 13 hearts, 13 clubs, 13 diamonds , and 13 spades. Timothy draws four cards at random from

siniylev [52]

Answer:

$\dfrac{1}{4}$

Step-by-step explanation:

Total number of cards in a standard deck = 52

Number of hearts in the deck = 13

Number of clubs in the deck = 13

Number of diamonds in the deck = 13

Number of spades in the deck = 13

Four cards are drawn at random by Timothy.

These four cards are drawn from each one of the suits.

And the cards are not replaced.

Therefore, now cards remaining in each suit:

Remaining number of hearts in the deck = 12

Remaining number of clubs in the deck = 12

Remaining number of diamonds in the deck = 12

Remaining number of spades in the deck = 12

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, number of favorable cases are 12 (i.e. number of hearts)

Total number of cases = 12 $\times$ 4 = 48

Therefore, the required probability is:

$\dfrac{12}{48} = \bold{\dfrac{1}4}$

7 0

3 years ago

The figure below shows a rectangle ABCD having diagonals AC and DB.

Keith_Richards [23]

Answer: b) ΔADC ≡ ΔBCD by SAS

<u>Step-by-step explanation:</u>

Step 1: AD = BC SIDES are congruent

Step 2: ∠ADC ≡ ∠BCD ANGLES are congruent

Step 3: DC = DC SIDES are congruent

The proof is using Side-Angle-Side (SAS)

Look at the angles in step 2. These are the triangles you are proving congruency for: ΔADC ≡ ΔBCD

4 0

3 years ago

Which term is a term in this expression -3x- 7(x+4)

Over [174]

Answer:

A. -3x

Step-by-step explanation:

Terms are the parts of an expression that are separated by + or - signs

-3x is a term, because it is separated from the rest of the expression by a - sign.

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3 years ago

Help cant use calcultor??? 437 + 356 = ?

Zinaida [17]

437 + 356= 793

ANSWER: 793

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution.

solniwko [45]

For this case we have to:

Let $u = x + 1$

So:

$u ^ 2-4u + 2 = 0$

We have the solution will be given by:

$u = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -4\\c = 2$

Substituting:

$u = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (2)}} {2 (1)}\\u = \frac {4 \pm \sqrt {16-8}} {2}\\u = \frac {4 \pm \sqrt {8}} {2}\\u = \frac {4 \pm \sqrt {2 ^ 2 * 2}} {2}\\u = \frac {4 \pm2 \sqrt {2}} {2}$

The solutions are:

$u_ {1} = \frac {4 + 2 \sqrt {2}} {2} = 2 + \sqrt {2}\\u_ {2} = \frac {4-2 \sqrt {2}} {2} = 2- \sqrt {2}$

Returning the change:

$2+ \sqrt {2} = x_ {1} +1\\x_ {1} = 1 + \sqrt {2}\\2- \sqrt {2} = x_ {2} +1\\x_ {2} = 1- \sqrt {2}$

Answer:

$x_ {1} = 1 + \sqrt {2}\\x_ {2} = 1- \sqrt {2}$

3 0

3 years ago

Read 2 more answers

Solve 10a -7 = 21 - ба​

Solve 10a -7 = 21 - ба