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2 years ago

5

What would x be in the image above?

1 answer:

Kryger [21]2 years ago

7 0

Answer:

x= -7

Step-by-step explanation:

the labeled angles are alternate-interior angles which are congruent

we can solve for 'x' by creating this equation:

x+139 = 132

x = -7

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How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit

Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have ${13 \choose 2} = 78$ possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0

3 years ago

priya starts with $50 in her bank account. she then deposited $20 each weeks for 12 weeks. how many weeks does it take her to ha

trasher [3.6K]

Where is the graph ? I don’t see it

7 0

3 years ago

Seven x's and 3y's cost as much as 4z's. One z costs as much as 1x plus 1y together. How many x's cost as much as 1y?

Pie

Answer:

Step-by-step explanation:

Equations

7x + 3y = 4z

<em>Second equation</em>

x + y = z Multiply the entire equation by 4

4[x + y = z] Now distribute the 4 through the equation

4x + 4y = 4z Both equations = 4z. Equate the lefts.

<em>Third equation </em>

7x+3y = 4x + 4y Subtract 3y from both sides

7x + 3y -3y = 4x + 4y -3y

7x = y + 4x Subtract 4x from both sides

7x - 4x = y + 4x - 4x Combine

3x = y

Answer: 3x = y

6 0

2 years ago

Escribe una expresión algebraica para la palabra frase: el producto de 636 y un número w

diamong [38]

Answer:

636w

Step-by-step explanation:

producto = ×

$636 \times w\\\\= 636w$

5 0

3 years ago

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac

Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

$20x+50y\leq 400$

Larry must purchase at least nine items.

$x+y\geq 9$

Check both inequalities of all given ordered pairs.

For (5,6),

$20(5)+50(6)\leq 400\Rightarrow 400\leq 400$

$5+6\geq 9\Rightarrow 16\geq 9$

Point (5,6) satisfy both inequalities.

For (10,4),

$20(10)+50(4)\leq 400\Rightarrow 400\leq 400$

$10+4\geq 9\Rightarrow 14\geq 9$

Point (10,4) satisfy both inequalities.

For (20,0),

$20(20)+50(0)\leq 400\Rightarrow 400\leq 400$

$20+0\geq 9\Rightarrow 20\geq 9$

Point (20,0) satisfy both inequalities.

For (15,2),

$20(15)+50(2)\leq 400\Rightarrow 400\leq 400$

$15+2\geq 9\Rightarrow 17\geq 9$

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0

3 years ago