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Mekhanik [1.2K]
3 years ago
10

1) Miguel has a gift card to an electronics store. He has $ 150 on the card. He purchased a DVD for $ 20 and some games for $12.

50 each. He has $17.50left on the gift card. Write and solve an equation to determine how many games he purchased.
Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

9 games

Step-by-step explanation:

If he purchase 1 game, he spent $12.50. If he purchased 2 games, he spent 2(12.50) = $25.

This means he spent 12.5x for x number of games.

His total spending will be 12.5x + 20. He has $17.50 left on the card from $150.

150 - (12.5x + 20) = 17.5

150 - 12.5x -20 = 17.5

130 - 12.5x = 17.5

-12.5x =  17.5 - 130

-12.5x = -112.5

x = 9

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3 years ago
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t= \cfrac{ - (9) \pm \sqrt { (9)^2 -4(-4)(1)}}{2(-4)} \implies t = \cfrac{ -9 \pm \sqrt { 81 +16}}{ -8 } \\\\\\ t= \cfrac{ -9 \pm \sqrt { 97 }}{ -8 }\implies t=\cfrac{9\mp\sqrt{97}}{8}

5 0
10 months ago
Corey flying a kite with 105 meters of string.His string makes an angle of 42 degrees with the level ground. How high is the kit
mafiozo [28]

<u>Given</u>:

Given that Corey is flying a kite with 105 meters of string.

The string makes an angle of 42° with the ground level.

We need to determine the height of the kite.

<u>Height of the kite: </u>

The height of the kite can be determined using the trigonometric ratio.

Thus, we have;

 sin \ \theta=\frac{opp}{hyp}

From the given data, the values are  \theta=42^{\circ}, opp = h (height of the kite) and hyp = 105 meters.

Substituting the values, we get;

sin \ 42=\frac{h}{105}

Multiplying both sides of the equation by 105, we get;

sin \ 42 \times 105=h

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8 0
3 years ago
A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.
umka2103 [35]

Answer:

56.55\ ft^2

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We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

We know that the area of a circumference is:

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further

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5 0
2 years ago
A.
Varvara68 [4.7K]

Answer:

Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.

 

If we call the number of cars c, then our proportion is 3/10 = c/100.

 

Cross multiplying, we get 10c = 300.

 

Dividing both sides by 10, c = 30.

3 0
2 years ago
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