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Zinaida [17]
2 years ago
7

A box contains only $2 coins and $10 coins and there

Mathematics
1 answer:
miss Akunina [59]2 years ago
8 0
<h3>Answer:   25</h3>

==========================================================

Work Shown:

x = number of $2 coins

y = number of $10 coins

x+y = 43 coins total

x = 43-y

2x = value of just the $2 coins only

10y = value of all the $10 coins only

2x+10y = total value of all coins mentioned

This value must be greater than $278, so,

2x+10y > 278

2( x ) + 10y > 278

2(43-y)+10y > 278

86-2y+10y > 278

8y+86 > 278

8y > 278 - 86

8y > 192

y > 192/8

y > 24

The smallest y can be is y = 25.

We need at least 25 coins worth $10 each.

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Step-by-step explanation:

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3 years ago
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Hey there! I'm happy to help!

First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).

Let's convert this below

A: (1,1)⇒(-1,-1)

B: (5,4)⇒(-5,-4)

C: (7,1)⇒(-7,-1)

D: (3,-2)⇒(-3,2)

Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.

A: (-1,-1)⇒(4,-2)

B: (-5,-4)⇒(0,-5)

C: (-7,-1)⇒(-2,-2)

D: (-3,2)⇒(2,1)

Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)

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3 years ago
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Solnce55 [7]

Answer:

Jana had 8 oranges, and Jordan had 15 oranges.

Step-by-step explanation:

First, identify what you know:

1) In total, Jana and Jordan had 23 oranges.

2) Jana had 7 less oranges than Jordan.

We can create a formula, where x equals the number of oranges Jana has.

23 = x + (x + 7)

16 = x + x (subtracted 7 from both sides)

x = 8 (divided both sides by 2)

So, now we know Jana had 8 oranges, which is 7 less than Jordan.

8 + 7 = ?

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Answer:

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Step-by-step explanation:

The equation of a line in point- slope form is

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