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3 years ago

Help please.......Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

<u>Answer:</u>

The cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.

<u>Step-by-step explanation:</u>

D = Cost of a dozen doughnut
C = Cost of a dozen croissant
10D + 7C = 130
6D + 4C = 76

10D + 7C = 130

6D + 4C = 76

4(10D + 7C = 130)

7(6D + 4C = 76)

40D + 28C = 520

42D + 28C = 532

40D - 42D = 520 - 532
=> -2D = -12
=> 2D = 12
=> D = 6

<u>Now, let's substitute the value of D into the first equation.</u>

10D + 7C = 130
=> 10(6) + 7C = 130
=> 60 + 7C = 130
=> 7C = 70
=> C = 10

Hence,<u> the cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.</u>

Hoped this helped.

$BrainiacUser1357$

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Using the probability scale, what is the probability that a red cube will be drawn when a cube is selected from a bag that has 5

dmitriy555 [2]

Answer:

Step-by-step explanation:

Probability is calculated by divided the amount of something you have by the total amount. In this case, 5 red cubes by 10 total cubes to get .5. This falls into evens in your probability scale.

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2 years ago

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Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by

Anna11 [10]

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

<h3>How to determie the equation of the cross-section?</h3>

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

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This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

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Divide both sides by -9

a = 1/6

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y = 1/6(x^2 - 9)

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Read more about quadratic functions at:

brainly.com/question/1497716

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2 years ago

the first box measures 18 inches by 8 inches by 15 inches. the second box is 10 inches tall and the area of the base measures 19

Mandarinka [93]

Answer:

Box 1 has the greater volume, by 200 in³

Step-by-step explanation:

The largest of two volumes can be found by computing each volume and comparing the results.

The volume is computed from dimensions by ...

V = LWH

V = (18 in)(8 in)(15 in) = 2160 in³

The volume is computed from area and height by ...

V = Bh . . . . . where B is the base area, and h is the height

V = (196 in²)(10 in) = 1960 in³

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The units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.

Box 1 has a greater volume

The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:

2160 in³ -1960 in³ = 200 in³

Box 1 is larger by 200 in³

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<em>Additional comment</em>

The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:

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Box 1 is about 10% larger than Box 2.

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3 years ago

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