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Talja [164]
3 years ago
13

9 times (30+7=(9 times _)+(9 times 7)

imes%20" id="TexFormula1" title="9 \times (30 + 7) = (9 \times " alt="9 \times (30 + 7) = (9 \times " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Arada [10]3 years ago
8 0

9(30+7) = (9*30)+(9*7)

This is the distributive property

x(y+z) = xy + xz

Let the dash = x

9(30+7) = (9*x)+(9*7)

9(37) = 9x + 63

333 = 9x + 63

Substract 63 from both sides

333 - 63 = 9x +63-63

270 = 9x

Divide both sides by 9

270/9 = 9x/9

30 = x

Or x = 30

frez [133]3 years ago
6 0

Answer:

9(30+7) = (9*30)+(9*7)

Step-by-step explanation:

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Expand quadratic equation (2x-3)(x+4) = 0​
OleMash [197]

Answer:

Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0

((12 + -3x) + 2x * (-4 + x)) = 0

(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = 0 + -3

-2x = 0 + -3

Combine like terms: 0 + -3 = -3

-2x = -3

Divide each side by '-2'.

x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!
Anna007 [38]

Answer:

1)(2x + y \:  \:  \: 2) = (1 \:  \: x - y) \\ so \: compare \: 2x + y = 1...(1) \\ 2 = x - y....(2) \\ 2x + y = 1...(1) \\ x - y = 2....(2) \\ (1) + (2) \\ 3x + 0y = 3 \\ x =  \frac{3}{3}  = 1 ....(3)\\  \\ put \: (3)in \: (1) \\ 2 \times 1 + y = 1 \\ y = 1 - 2 \\ y =  - 1 \\ here \: x = 1 \\ y =  - 1 \\ 2)(x  + 2y \:  \:  \: 3) \: and \: ( - 1 \:  \:  \: 2x - y) \\ here \: x + 2y =  - 1...(1) \\ 2x - y = 3...(2) \\ (2) \times 2 =  > 4x - 2y = 6...(3) \\ x + 2y =  - 1....(1) \\ (1) + (3) \\ 5x + 0y = 5 \\ x =  \frac{5}{5}  = 1....(3) \\ put \: (3) \: in \: (1) \\ 1 + 2y =  - 1 \\ 2y =  - 2 \\ y =  \frac{ - 2}{2}  =  - 1 \\ here \: x = 1 \\ and \:  \\ y =  - 1 \\ thank \: you

5 0
3 years ago
Read 2 more answers
A waitress sold 11 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$560.63 on a particular day. Another day she s
Eduardwww [97]

The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

<em><u>Solution:</u></em>

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

<em><u>A waitress sold 11 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$560.63 on a particular day</u></em>

Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

11 \times a + 12 \times b = 560.63

11a + 12b = 560.63 -------- eqn 1

<em><u>Another day she sold 16 ribeye steak dinners and 6 grilled salmon​ dinners, totaling ​$584.46</u></em>

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

16 \times a + 6 \times b = 584.46

16a + 6b = 584.46 ------------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 2 by 2</u></em>

32a + 12b = 1168.92 ------- eqn 3

<em><u>Subtract eqn 1 from eqn 3</u></em>

32a + 12b = 1168.92

11a + 12b = 560.63

( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

a = 28.96 \approx 29

<em><u>Substitute a = 29 in eqn 1</u></em>

11(29) + 12b = 560.63

319 + 12b = 560.63

12b = 560.63 - 319

12b = 214.63

Divide both sides by 12

b = 20.13 \approx 20

Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

5 0
3 years ago
At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a
juin [17]

Answer:

$18.99

Step-by-step explanation:

<u>Step 1:</u> Take the per topping amount (<em>$1.25</em>) and multiply it by the amount of toppings (<em>4</em>). $1.25x4=$5

<u>Step 2:</u> Add your toppings total (<em>$5</em>) to the base pizza cost <em>($13.99</em>). $13.99+$5=$18.99

8 0
3 years ago
It tom had 6 bottle of dish soap and he times 3 how many dish soap do he had all together
Stels [109]

Answer:

18 dish soaps

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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