When Deion was born, his grandfather gave him a 7.5-gram gold coin as a present. Today, Deion read in the newspaper that a gram of gold is worth $50.04. How much money is the gold coin worth?

Answer:

50

Step-by-step explanation:

1. 30% · X = 15

2. 30/100 · X = 15

3. Multiply both sides by 100

30·X=15·100

4. Divide both sides by 30

X = 15 · 100/30

5. X = 50

Answer:

216y^3

Step-by-step explanation:

a=1/2bh

a=1/2(8x6)

a=1/2(48)

a=24

24x9=216

Answer:

$375.3

Step-by-step explanation:

This gold coin is worth 375.3. Because 7.5 times $50.04 is 375.3

you're welcome

Answer:

Area of the sector = [tex]24\pi ^{2}[/tex]

The perimeter of the sector of the given circle is 32.75 cm.

The perimeter of a sector is given by the sum of the arc length and the two radii that form the sector. To find the perimeter of this sector, we need to find the length of the arc and the two radii.

The area of the sector is given as 120° at the center. We can use this information to find the length of the arc by using the formula for the area of a sector:

                          Area of sector = (angle/360) x πr²

where r is the radius of the circle and angle is the central angle of the sector in degrees.

In this case, we have:

                          120/360 x π x 8² = 33.51 cm² (rounded to two decimal places)

The length of the arc can be found by using the formula:

                          Arc length = (angle/360) x 2πr

In this case, we have:

                          (120/360) x 2π x 8 = 16.75 cm (rounded to two decimal places)

The two radii that form the sector have lengths of 8 cm each.

Therefore, the perimeter of the sector is the sum of the arc length and the two radii:

                          Perimeter = arc length + 2r

                          = 16.75 + 2(8)

                          = 32.75 cm (rounded to two decimal places)

Therefore, the perimeter of the sector is approximately 32.75 cm.

To learn more about the sector of the circle,

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Answer: 4

Step-by-step explanation:

the highest number is 4

Answer:

(A) should be 16.5 mph

(B) is 0.25

Step-by-step explanation:

B was pretty easy because all you had to do is divide by 2

Answer: 40 pages per hour.

Step-by-step explanation:

The distances between the given points are 6.4 units, 7.2 units, 5 units and 7 units

Distance between two points is the length of the line segment that connects the two points in a plane.

Given that are some points, we need to find the distance between them.

The distance between two points is given by,

C = √(x₂-x₁)²+(y₂-y₁)²

1) (0, 2) and (5, -2)

C = √(5-0)²+(-2-2)²

= √25+16

= √41 = 6.4 units

2) (-4, -3) and (2, 1)

C = √(2+4)²+(1+3)²

= √36+16

= √52 = 7.2 units

3) (0, 0) and (-4, -3)

C = √(-4-0)²+(-3-0)²

= √16+9

= √25 = 5 units

4) (-3, 4) and (2, -3)

C = √(2-3)²+(-3-4)²

= √1+49

= √50 = 7 units

Hence, the distances between the given points are 6.4 units, 7.2 units, 5 units and 7 units

Learn more about distance between points, click;

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Answer:

1 hour - how many more hours will the tank be out of gas

Step-by-step explanation:

The path of the boat, the horizontal distance and vertical distance from the dock are in the shape of a right triangle

Distance of boat from dock after 1 hour
d = [tex]\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\;mi\\[/tex]

Speed of boat = 10mph

distance that can be traveled with 4 gallons of fuel

d = 5 mpg x 4 g = 20 miles

The boat has already traveled 10miles in the diagonal direction. Assuming same trajectory, the boat can travel 20 - 10 = 10 miles more

10 miles ==> 1 hour more at 10 mph

So additional time the boat can travel = 1 hour

I hope that helps. Tried to do my best to cut down the words

Answer:

$4.94

Step-by-step explanation:

We can first solve this by turning this sales tax percentage into a decimal

[tex]8.6\% = 0.086\%[/tex]

Now that we got that and your first answer of $57.40, we can multiply the two numbers.

[tex]0.086 \times 57.40 = 4.9364[/tex]

That rounds to 4.94

Answer:

$6.02

Step-by-step explanation:

because 8.6% of 70

Answer:

Step-by-step explanation:

4(ounces) = 50(calories)

he drinks 8(ounces)

witch is 50 + 50 = 100

Answer:

Jessica and Luke rates are inequivalent.

Step-by-step explanation:

Jessica had 4 laps and had 9 minutes.

4 Laps/9 Minutes = 12 laps/27 Minute

12 Laps/27 Minutes ≠  8 Laps/ 27 Minute

So, Jessica and Luke has inequivalent.

Hope this helped you, brainliest if possible, and tell me If I am wrong, I also answered first! :D

Answer: hope this helps ♡

[tex]\frac{5}{12}[/tex] cups of dog food is recommended for a 25-pound adult dog.

Step-by-step explanation:

Unitary method: diving the number that you want to find out over the already known number. (just try to understand this lol)  :)

10 lb = ⅙ Or 0.1666666 cups

1 lb = ? cups

[tex]\frac{0.16}{10}[/tex] = 0.01666666

1 lb = 0.01666666 cups

25 lb = 0.01666666 × 25 cups

25 lb = 0.416666667 Or [tex]\frac{5}{12}[/tex] cups

(Or:      10lb= ⅙              20lb= ⅙+⅙ = [tex]\frac{2}{6}[/tex]              5lb= ⅙ ÷ 2= [tex]\frac{1}{12}[/tex] (10lb÷2)       25lb = [tex]\frac{1}{12}+\frac{2}{6}[/tex] = [tex]\frac{5}{12}[/tex] ≈ 0.416666667     (25=20+5)

Answer:

The height is 5.6 units.

Step-by-step explanation:

The height can be calculated using this formula

[tex]h=\sqrt{a^2-\frac{b^2}{4} }[/tex]

Let [tex]a[/tex] be the base of the triangle along the horizontal.

Let [tex]b[/tex] be the side of the triangle.

In an isosceles triangle has 2 sides that are equal in length.

Numerical Evaluation

In this example we are given

[tex]a=6\\b=3\sqrt{2}[/tex]

Substituting our values into the equation gives us

[tex]h=\sqrt{6^2-\frac{\left(3\sqrt{2} \right) ^2}{4} }[/tex]

Lets solve for [tex]h[/tex].

Evaluate [tex]6^2[/tex].

[tex]h=\sqrt{36-\frac{\left(3\sqrt{2} \right) ^2}{4} }[/tex]

Apply the product rule to [tex]3\sqrt{2}[/tex].

[tex]h=\sqrt{36-\frac{3^2\sqrt{2}^2 }{4} }[/tex]

Evaluate [tex]3^2[/tex].

[tex]h=\sqrt{36-\frac{9\sqrt{2}^2 }{4} }[/tex]

Rewrite [tex]\sqrt{2}^2[/tex] as [tex]2[/tex].

[tex]h=\sqrt{36-\frac{9*2 }{4} }[/tex]

Evaluate [tex]9*2[/tex].

[tex]h=\sqrt{36-\frac{18 }{4} }[/tex]

Factor [tex]2[/tex] out of [tex]18[/tex] and [tex]2[/tex] out of [tex]4[/tex].

[tex]h=\sqrt{36-\frac{2(9) }{2(2)} }[/tex]

Cancel the common factor of [tex]2[/tex].

[tex]h=\sqrt{36-\frac{9 }{2} }[/tex]

To write [tex]36[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex].

[tex]h=\sqrt{36*\frac{2}{2} -\frac{9 }{2} }[/tex]

Combine the numerators over the common denominator.

[tex]h=\sqrt{\frac{36*2-9}{2}[/tex]

Multiply [tex]36[/tex] by [tex]2[/tex] then subtract [tex]9[/tex].

[tex]h=\sqrt{\frac{63}{2} }[/tex]

Evaluate [tex]\sqrt{\frac{63}{2} }[/tex].

[tex]h=5.6125[/tex]

Round to nearest tenth.

[tex]h=5.6[/tex]

Learn more about isosceles triangles here

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Answer: The algebraic expression for c multiplied by 4, all divided by 7 lots of d is given by:

(4c) / (7d)

Step-by-step explanation:

Answer:

Don't see the picture

Step-by-step explanation:

So far I'm getting that

(According to the law of cosines):

CAB ≈ 45.793°

ABC ≈ 74.207°

BC ≈ 7.449

Answer:

B. two fourths is greater than five twelfths

Step-by-step explanation:

the anwser is 25  i subtracted is that what i was supposed to do?

Answer: 15.63

Step-by-step explanation:

you first need to subtract the actual price  160 from the first price 185.

then you will divide the number you got wich should be 25 by the actual price 160.

then you multiply the decimal by 100 and then round to nearest cent if needed

Answer:

8% as a fraction can be expressed as 8/100 or 4/50.

Explanation:
Percentages are a way of expressing a number as a fraction of 100. The symbol % represents "per hundred" or "out of 100." So, 8% can be thought of as 8 out of 100 or 8/100.

When we convert a percentage to a fraction, the numerator (top part of the fraction) represents the percentage value and the denominator (bottom part of the fraction) is set to 100. This is because 100 represents the whole, and the numerator represents a part of that whole.

In this case, 8% as a fraction is 8/100, which can be simplified to 4/50.

Answer: hope this helps ♡

8% =  [tex]\frac{8}{100}[/tex]  =  [tex]\frac{2}{25}[/tex]

Step-by-step explanation:

% = something out of a hundred (not out of 10)

eg: 25% = 25 out of a hundred

so 8% = (8 out of a hundred)  [tex]\frac{8}{100}[/tex]  =  [tex]\frac{4}{50}[/tex]  =  [tex]\frac{2}{25}[/tex]   (simplified answer)

(100 divided by 2 = 50         50 divided by 2 = 25)

(8 divided by 2 = 4                4 divided by 2 = 2)

Answer: yes

Step-by-step explanation:

this is propprtional

Answer:

Step-by-step explanation:

Answer:

15 tickets

Step-by-step explanation:

If the theater club needs $142.50 and each ticket costs $9.50, we need to divide 142.5/9.5 to determine how many tickets must be sold, which gets us 15.

Answer: Tyler and Elena are on the cross country team.

Tyler's distances and times for a training run are shown on the graph.

Elena's distance and times for a training run are given by the equation.

Step-by-step explanation: Represents distance in miles and

represents time in minutes.

a. Who ran farther in 10 minutes? How much farther? Explain how you know.

b. Calculate each runner's pace in minutes per mile.

c. Who ran faster during the training run? Explain or show your reasoning

To know more about equation:

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It's about C. 333cm using the equation [tex]V=\frac{4}{3}\pi r^3[/tex]

your are going to be great just add and divide