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3 years ago

Determine the solution type for each equation if one solution determine the value for x

Mathematics

1 answer:

sdas [7]3 years ago

4 0

Step-by-step explanation:

Vamos resolver sua equação passo a passo.

10-7c=10+2(3-5c)

Etapa 1: simplifique os dois lados da equação.

10-7c=10+2(3-5c)

10+-7c=10+(2)(3)+(2)(-5c)(Distribuir)

10+-7c=10+6+-10c

-7c+10=(-10c)+(10+6)(Combine os termos semelhantes)

-7c+10=-10c+16

Etapa 2: adicione 10c a ambos os lados.

-7c+10+10c=-10c+16+10c

3c+10=16

Etapa 3: subtraia 10 de ambos os lados.

3c+10-10=16-10

3c=6

Etapa 4: divida os dois lados por três.

c=2

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3 years ago

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 Miles. What

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Answer:

Step-by-step explanation:

Dimensions of the rectangular park = 4 inches by 6 inches

Since scale factor = $\frac{\text{Dimensions of the park on map}}{\text{Dimensions of the original park}}$ = $\frac{1}{30}$

$\frac{4}{\text{Length of the original park}}=\frac{1}{30}$

Length of the original park = 120 miles

Similarly, width of the park = 180 miles

Area of the park = Length × Width

= 120 × 180

= 21600 square miles

Therefore, area of the original park is 21600 square miles.

Formula for the ratio of area of the park on map and original park is,

$\frac{\text{Area of the park on map}}{\text{Area of the original park}}=(\text{Scale factor})^2$

$\frac{6}{21600}=(\text{Scale factor})^2$

Scale factor = $\sqrt{\frac{1}{3600}}$

= $\frac{1}{60}$

Scale factor to reproduce the map so that it fits in the brochure will be 1 inch for every 60 miles.

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4 years ago

Solve the inequality 5 - 4x > -x+8

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The answer is,

$x < - 1$

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3 years ago

Consider the following graph

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2 years ago

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Step-by-step explanation:

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4 years ago

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