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svet-max [94.6K]
3 years ago
9

Luke can buy bottles of water in packages of 6 for $15.24 or in packages of 4 for $11.16. How much money does he save by buying

48 bottles of water at the better price?
Mathematics
1 answer:
creativ13 [48]3 years ago
6 0

Answer:

6\ for\ \$15.24\ is\ better\ price\\\\Total\ saving=\$12

Step-by-step explanation:

Cost at the rate 6 for $15.24:

Cost of 6 bottles=\$15.24

Cost of 1 bottle=\$\frac{15.24}{6}

Cost of 48 bottles=\frac{15.24}{6}\times 48=15.24\times 8=\$121.92

Cost at the rate 4 for $11.16:

Cost of 4 bottles=\$11.16

Cost of 1 bottle=\frac{11.16}{4}

Cost of 48 bottles=\frac{11.16}{4}\times 48=11.16\times 12=\$133.92

Hence 6\ bottles\ for\ 15.24 is less expensive.

Total saving=133.92-121.92=\$12

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Find the slope of a line which goes through the points (2,5) and (−4,3)
natka813 [3]

Answer:

slope (m) = 0.75

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

1

3

= 0.33333333333333

θ =

arctan( ΔY ) + 180°

ΔX

= 198.43494882292°

ΔX = -4 – 2 = -6

ΔY = 3 – 5 = -2

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = 0.33333333333333x + 4.3333333333333

or

y =  

1 x

3

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When x=0, y = 4.3333333333333

When y=0, x = -13

please mark brainliest

3 0
3 years ago
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Help me pls. Pls do this step by step. I will give he brainliest to the person who does it step by step.
Zanzabum

Answer:

x^2 - x^3 - 3x^2y - 3xy^2

Step-by-step explanation:

x^3 +y^3 - (x + y)^3​

Expand the expression

x^2 + y^3 - (x^3 + 3x^2y + 3xy^2 +y3)

Remove the parentheses

x^2 +y^3 -x^3 -3x^2y -3xy^2 - y^3

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Answer:

x^2 - x^3 - 3x^2y - 3xy^2

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3 years ago
MANUFACTURING A shoe manufacturer spends $2.50 to make sandals and $4 to make running shoes. During a typical month, they spend
jonny [76]

Answer:

200 pairs of sandals

Step-by-step explanation:

Represent the sandals with x and the running shoes with y.

In a typical month:

Total = 2500

In April

Total = 3000

Required

The number of sandals in a typical month

<u>In a typical month:</u>

If 1 sandal costs 2.50, then x costs 2.50x

If 1 running shoe costs 4, then y costs 4y

The total is:

2.50x + 4y = 2500

<u>In April:</u>

If 1 sandal costs 2.50, then 2x costs 5x ---- <em>we used 2x because the pairs is doubled </em>

If 1 running shoe costs 4, then y costs 4y

The total is:

5x + 4y = 3000

The equations are:

5x + 4y = 3000

2.50x + 4y = 2500

Subtract

5x - 2.50x + 4y - 4y = 3000 - 2500

2.50x = 500

x = \frac{500}{2.50}

x = 200

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72.82 +29.311 x 4.55
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Answer:

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Step-by-step explanation:

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Please help need it quick will give brainliest thanks
Norma-Jean [14]
Use the Pythagorean theorem:

x^2+8^2=11^2\\\\x^2+64=121\ \ \ |-64\\\\x^2=57\to x=\sqrt{57}\\\\x\approx7.5

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