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sweet [91]
1 year ago
7

1 Select the correct answer. Multiply the binomials: (3x + 4)(5x - 2) A.15x2 + 20x-8b. 15x2 + 14x-8 c. 15x2- 14x-8 D. 15x2+ 14x8

Mathematics
1 answer:
leonid [27]1 year ago
3 0

Multiply the binomials:



(3x + 4)(5x - 2)

\begin{gathered} =3x(5x\text{ - 2) + 4(5x - 2)} \\ =15x^2\text{ - 6x + 20x - 8} \\ =15x^2\text{ + 14x - 8} \end{gathered}

Final answer

Option B is the final answer

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Steve has at most $80 to spend at a store. He wants to buy a movie that costs $22. He also wants to buy DVDs that cost $7.00 eac
Degger [83]

Answer:

80 is less than or equal to 22+7x

8 DVDs

Step-by-step explanation:

I don't have the inequality signs sorry if you don't know its the symbol thats opening to the left with a line underneath

80 is less than or equal to 22+7x

subtract 22

58 is less than or equal to 7x

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x is greater than or equal to 8.29

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5 0
3 years ago
If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of
gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

Scale=\frac{distance on the map}{distance in reality}

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}

Solving:

\frac{3.7 inches}{175 km}×distance in reality= 5.7 inches

distance in reality= \frac{5.7 inches}{\frac{3.7 inches}{175 km}}

<u><em>distance in reality= 269.59 km</em></u>

In summary, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

Learn more about map and scale:

brainly.com/question/24693076

brainly.com/question/13150795

brainly.com/question/27928319

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Answer:

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Step-by-step explanation:

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