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Dvinal [7]
3 years ago
7

3. A catering service paid $520 for 10 center pieces and 60 glasses. The guest list grew, requiring an

Mathematics
1 answer:
ELEN [110]3 years ago
8 0
Center piece was $40
Glasses were $2
I used the elimination method. I multiplied everything in the equation that represents the second order by five and subtracted it from the first orders equation. I then solved for y and got that each glass was $2. I then plugged the 2 back into the original equation to find that a centerpiece was $40.
(Attached)

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Solve the equation by completing the
Marizza181 [45]

Answer:

s ≈ - 0.5 , s ≈ 8.5

Step-by-step explanation:

s² - 8s - 4 = 0 ( add 4 to both sides )

s² - 8s = 4

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(- 4)s + 16 = 4 + 16

(s - 4)² = 20 ( take square root of both sides )

s - 4 = ± \sqrt{20} ( add 4 to both sides )

s = 4 ± \sqrt{20}

Then

s = 4 - \sqrt{20} ≈ - 0.5 ( to the nearest tenth ) ← smaller solution

s = 4 + \sqrt{20} ≈ 8.5 ( to the nearest tenth ) ← larger solution

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Step-by-step explanation:

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3 years ago
Which of these scales are equivalent to 3 cm to 4 km? select all that apply. recall that 1 inch is 2.54 cm
AlladinOne [14]

Answer:

1. 0.75 cm to 1 km

4. 0.3 mm to 40 m

Step-by-step explanation:

we have the scale

\frac{3}{4}\frac{cm}{km}=0.75\frac{cm}{km}

<u><em>Verify each case</em></u>

case 1) 0.75 cm to 1 km

\frac{0.75}{1}\frac{cm}{km}=0.75\frac{cm}{km}

therefore

The scale is equivalent to the given value

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\frac{1}{12}\frac{cm}{km}=0.08\frac{cm}{km}

0.08\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

case 3) 6 mm to 2 km

Remember that

1 cm= 10 mm

1 mm=0.1 cm

we have

\frac{6}{2}\frac{mm}{km}=\frac{0.6}{2}\frac{cm}{km}=0.30\frac{cm}{km}

0.30\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

case 4) 0.3 mm to 40 m

Remember that

1 cm= 10 mm  -----> 1 mm=0.1 cm

1 km=1,000 m ----> 1 m=0.001 km

we have

\frac{0.3}{40}\frac{mm}{m}=\frac{0.03}{0.04}\frac{cm}{km}=0.75\frac{cm}{km}

0.75\frac{cm}{km}=0.75\frac{cm}{km}

therefore

The scale is equivalent to the given value

case 4) 1 inch to 7.62 km

Remember that

1 in= 2.54 cm

we have

\frac{1}{7.62}\frac{in}{km}=\frac{2.54}{7.62}\frac{cm}{km}=0.33\frac{cm}{km}

0.33\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

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Answer:

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