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serg [7]
2 years ago
10

Michael bought a Sprite for $2.30 and three candy bars. He spent $6.50. How much did each candy bar cost?

Mathematics
2 answers:
lyudmila [28]2 years ago
4 0

Answer:

  • Candy Bar = $1.40

Step-by-step explanation:

<u>We know that:</u>

  • Sprite + 3(Candy Bar) = $6.50
  • Sprite = $2.30

<u>Solution:</u>

  • $2.30 + 3(Candy Bar) = $6.50
  • => 3(Candy Bar) = $6.50 - 2.30
  • => 3(Candy Bar) = $4.20
  • => Candy bar = $4.20/3
  • => Candy Bar = $1.40

Hence, 1 candy bar costs $1.40.

kupik [55]2 years ago
3 0

Answer:

Each candy bar cost $1.40

Step-by-step explanation:

The total amount Michael spent was $6.50.

First, we subtract the cost of the sprite (2.30) from the total amount spent. The equation would be 6.50-2.30 = 4.20

Now we divide the remaining amount by 3 because there are 3 candy bars. 4.20/3 = 1.40

So, each candy bar cost $1.40.

hope this helps!

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Daniel sold his washing machine for $829. He orignally paid $975 for it. What is Daniel's percentage loss?
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3 years ago
A small radio transmitter broadcasts in a 69 mile radius. If you drive along a straight line from a city 93 miles north of the t
larisa86 [58]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

  • We have A small radio transmitter that broadcasts in a 69-mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter.

Thus,

The distance that you get reception is the length of the chord created by the intersection of the circle defining the edge of transmission and the line defining the car trip.

  •  x2 + y2 = 69²               this is the circle

And,

The Transmitter at the origin

City to the north at (0,93)  & City to the east at (78,0)  

the Slope is M=(-93/78)

Intercept is B= y - mx ⇒  93 - (-93/78)(0) = 93

The equation of the line between the cities is y = (-93/78)x + 93

  • y = -93x/78 + 93           this is the line

Now, Solve the above two Equations

The intersection is gotten from the picture or solving:

x^2 + [(-93/78)*x + 93]^2 = 69^2

  • on solving we get, the points approximately are: (67.952,11.98 ) and (23.6277, 64.82)

Now,

From the Pythagorean theorem the total distance of the trip is:  

d1 = √(93^2 + 78^2) ≈ 121.37miles  

And the distance when the signal is picked up is:

d2 =√ [(67.952-23.627)^2 + (64.82 - 11.98)^2] ≈ 68.96 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 56% of the drive.

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2 years ago
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Step-by-step explanation:

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3 years ago
Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

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Therefore, an amount of $21,000 was invested at a rate of 14%.

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x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

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