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Romashka-Z-Leto [24]
2 years ago
5

An item is regularly priced at $31 . It is now priced at a discount of 35% off the regular price.

Mathematics
1 answer:
Julli [10]2 years ago
8 0

Answer:

35% of 31 is 10.85 so if your asking for how much the discount is then thats ur answer if your asking for how much it is now its 20.15

Step-by-step explanation:

if not have this

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Write the quadratic equation y= x^2 -6x = 7 in vertex form.
lapo4ka [179]

Answer:

(x - 3)² - 16 = 0

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Subtract 7 from both sides

x² - 6x + 7 = 0 ← in standard form

with a = 1, b = - 6

Given a quadratic in standard form then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a} = - \frac{-6}{2} = 3

Substitute x = 3 into the equation for y

y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)

y = (x - 3)² - 16 = 0

7 0
3 years ago
7. The difference of Grandma Annie's age and twice Carl's is 22. Gran
OlgaM077 [116]
<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

  • <em>Difference</em> = subtract
  • <em>Twice</em> = double
  • <em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

  • Difference of Annie's age and twice Carl's age is 22
  • Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

  • Let Annie's age be equal to <em>x.</em>
  • Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

  • Difference of Annie's age and twice Carl's age is 22
    ⇒ x-2y=22
  • Annie's age is 13 less than 3 times Carl's age
    ⇒ x=3y-13

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

x=3y-13\\x=3(35)-13\\x=105-13\\x=92

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0
2 years ago
Y-3=2(x-3) y+5=2(x+1)
bonufazy [111]

Answer:

The same lines (answer)

Step-by-step explanation:

The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,

y-3 = 2(x-3) .......(1)        ;   y + 5 = 2(x+1) ...........(2)    

y = 2x - 6 + 3                ;  y = 2x + 2 - 5    

y = 2x -3                       ;  y = 2x - 3

Comparing with slope intercept form we have,

m1 = 2                           ; m2 = 2

c1 = -3                           ; c2 = -3

If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)

8 0
2 years ago
⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ a(1)=−13 a(n)=a(n−1)+4 ​ Find the 2nd2^{\text{nd}} 2 nd 2, start superscript, start text, n, d, end text, end su
Fofino [41]

Answer:

  a(2) = -9

Step-by-step explanation:

It looks like you want the 2nd term in the arithmetic sequence defined by the recursive formula ...

  • a(1) = -13
  • a(n) = a(n -1) +4

Using the formula with n=2, we have ...

  a(2) = a(1) +4

  a(2) = -13 +4 . . . . substitute the value of a(1)

  a(2) = -9

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3 years ago
a cooler contains 7 cans of soda; 3 colas, 3 Orange, and 1 cherry. Two cans are selected at random without replacement. Find the
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1/13 because you have 1 chance out of 13 other chances of getting cherry
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