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djverab [1.8K]
2 years ago
13

Three DVDs and four CDs cost $92. Two DVDs and three CDs cost

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
8 0

Answer:

DVD: $16

CD: $11

Step-by-step explanation:

These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:

3x+4y=92

2x+3y=65

When graphed, the solution is at (16,11).

Therefore, one DVD costs $16 and one CD costs $11.

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What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?
mr_godi [17]
There is 2 ways to solve this type of question.

Method 1
--------------------------------------------------
Formula
--------------------------------------------------
a² + b² = c²

--------------------------------------------------
Apply the formula
---------------------------------------------------
(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

_____________________________________________________________

Method 2
--------------------------------------------------
Identify the triangle
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This is a special triangle
45° - 45° - 90°

--------------------------------------------------
Property of the Angles 
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x - x - x√2

--------------------------------------------------
Find hypotenuse
--------------------------------------------------
Given that the non-hypotenuse is 7√2

Hypotenuse =  (7√2)(√2)
Hypotenuse =  7 x 2
Hypotenuse = = 14cm

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

6 0
3 years ago
Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If the total amount of the dinner
Novosadov [1.4K]

Answer:

$48.30

Step-by-step explanation:

If the dinner was $42.00 and they wanted to give a 15% tip, then to find that start by multiplying 42 by 0.15

42.00 x 0.15 = 6.3

now add $6.30 to $42.00

42 + 6.3 = 48.3

4 0
3 years ago
Read 2 more answers
What is the equation of this graphed line?
pantera1 [17]

Answer:

y = - \frac{1}{3} x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7)

m = \frac{-7+3}{6+6} = \frac{-4}{12} = - \frac{1}{3}

Note the line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = - \frac{1}{3} x - 5 ← equation of line

4 0
3 years ago
Express the shaded area as a fraction, a decimal, and a percent of the whole
patriot [66]

Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

4 0
3 years ago
Read 2 more answers
Triangle JKL was dilated with the origin as the center of dilation to create triangle ′′′.J′K′L′. The triangle was dilated using
zmey [24]

Answer:

KL = 5.25

LJ = 6

Step-by-step explanation:

i don’t know the first one

7 0
3 years ago
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