Which of the following is an algebraic expression that represents the phrase X increased by 20

1) In 1910, Halley's Comet was 21.37 million kilometers close to Earth.

2) Given that Halley's Comet orbits the sun at about 75 years, and that the last time it passed near the Earth was in 1986, the years in which it will happen again will be 2061, 2136 and 2211.

3) Earth is 794 times larger in diameter than Halley's Comet.

Since in 1910, Halley's Comet traveled close to Earth about 1/7 of the distance from the Earth to the Sun, and Earth's distance from the Sun is 149.6 million kilometers, to determine 1) how close was Halley's Comet to Earth in 1910, 2) estimate the next 3 years when Halley's Comet will appear, and 3) if the core of Halley's Comet is oblong in shape, with its longest dimension 16 km long, and Earth's diameter is about 12,700 km, how many times larger in diameter is Earth than Halley's Comet, the following calculations must be performed:

1)

2)

3)

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The relationship between Halley's comet and the earth is an illustration of proportions

The given parameters are:

(a) The distance

The distance which Halley's comet get to is calculated using:

[tex]d = \frac 17 \times 149.6\ million\ km[/tex]

So, we have:

[tex]d = 21.37\ million\ km[/tex]

Hence, Halley's comet was 21.37 million kilometers close to the earth in 1910.

(b) The next three years it will appear

From the complete question, the comet is visible every 74 years.

It appears in 1910.

So, the next three years are:

[tex]Year\ 1 = 1910 + 74 = 1984[/tex]

[tex]Year\ 2 = 1984 + 74 = 2058[/tex]

[tex]Year\ 3 = 2058 + 74 = 2132[/tex]

Hence, the comet will appear in 1984, 2058 and 2132.

(c) The number of times the earth is larger

The diameter of the earth is given as: 12700 km, while the longest dimension of the oblong shaped comet is 16 km.

So, the number of times (n) which the earth is greater than the comet is:

[tex]n = \frac{12700}{16}[/tex]

[tex]n = 794[/tex] --- approximated

Hence, the diameter of the earth is 794 times larger than Halley's Comet.

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Answer:

a

Step-by-step explanation:

[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Answer:

200+90 =290 m^3

Step-by-step explanation:

Find the volume of the box on the bottom

V = l*w*h

V = 8*5*5 = 200 m^3

Find the volume of the box on the top

V = l*w*h

V = 3*6*5 = 90 m^3

Add the volumes together to get the total volume

200+90 =290 m^3

Answer:

290m^3

Step-by-step explanation:

the rectangular prism on top: 3mx6mx5m = 90m^3

the rectangular prism on bottom: 5mx5mx8m = 200m^3

add both: 200m^3+90m^3 = 290m^3

Answer:

1.41

Step-by-step explanation:

8.47÷6 = 1.4116

Answer:

f = 40

Step-by-step explanation:

Rewrite 35% as 0.35, the equivalent decimal fraction.

Now let f be the original amount.  35% of this amount is 14:

0.35f = 14

Dividing both sides by 0.35, we get:

f = 14/0.35 = 40

f is 40

Complete question :

A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.

a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.

Answer:

0.52 ; 0.52b

Step-by-step explanation:

The markdown percentage = 52%

Expresaing markdown as a decimal :

52% = 52 / 100 = 0.52

Expression for the sale price of hardcover book:

Original price = b

Price was marked down by 0.52

Hence, sales price becomes ;

Original price * markdown

b * 0.52

0.52b

Answer:

x = 0, x = [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

Given

ax² - bx = 0 ← factor out x from each term

x(ax - b) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

ax - b = 0 ⇒ ax = b ⇒ x = [tex]\frac{b}{a}[/tex]

Answer:

Range is 95.

Step-by-step explanation:

Highest value - lowest value = range.

99 - 4 = 95

Answer:

29

Step-by-step explanation:

Hot Dog packages

4 = 2 *2

7 = 1 * 7

To determine, the largest possible number of hot dogs that you can't get exactly by buying these hot dogs is to determine the LCM ( lowest common multiple of 4 and 7 ) and add 1 to it

LCM of 4 and 7  = 1 * 2 * 2 * 7  = 28

Highest number that combining 7 and 4 packages can't give = 28 + 1 = 29

Answer:

12

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

When two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

4 * 2x = 3 * (x + 5)

8x = 3x + 15

5x = 15

x = 3

Answer:

m<ADE = 59°

Step-by-step explanation:

Each angle of a rectangle = 90°

Therefore:

m<ABE + m<CBE = 90°

(4x + 15)° + (13x + 7)° = 90°

Solve for x

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 90 - 22

17x = 68

x = 68/17

x = 4

✔️Opposite sides (AB and DC) of the rectangle are parallel, therefore:

m<ADE = m<CBE

m<ADE = (13x + 7)° (Substitution)

Plug in the value of x

m<ADE = 13(4) + 7

m<ADE = 52 + 7

m<ADE = 59°

Answer:

the bowling alley

Step-by-step explanation:

Answer:

Carter started from the coordinates (9,5)

Step-by-step explanation:

Answer:[tex]\sqrt{93}[/tex]

Step-by-step explanation:

Pythagoeraen theorm. 14^2+x^2=17^2

Answer:9.64 is the correct answer

Step-by-step explanation:

By Phythagorean theorem

hypotenuse^2=base^2+altitude^2

(17)^2=(14)^2+(x)^2

289=196+x^2

289-196=x^2

93 =x^2

taking square root on both sides

x=9.64

Answer:

14 feet and 3 inches

Step-by-step explanation:

Answer:

14.25ft

171 in

Step-by-step explanation:

Answer:

What reasons might venita give for saying that the 1916 coin is most likely in her bag? Sherelle claims that she has 26 which is closer to 16 hence her chances are more.

Step-by-step explanation:

Answer:

If b = 0 and c = -11, all you have to do is plug in the values into bc + b:

Step-by-step explanation:

(0)(-11) + 0 = 0

Answer:

0

Step-by-step explanation:

The answer would be 0 because (0)(-11)+0=0 since the 0 cancels out the -11 and anything added by 0 is the number.

Answer:

y=70° x=11

Step-by-step explanation:

.............ur welcome...........

Answer:

30°

Step-by-step explanation:

Answer:

x = 46°

Step-by-step explanation:

2x - 30 + 2x - 30 + x + 10 = 180°

combine like terms:

5x - 50 = 180°

5x = 230°

x = 46°

Answer:

image is unclear

Step-by-step explanation:

Answer:

20.48 is the radius of sphere

Step-by-step explanation:

V=(4 /3)πr3

Using the formula

r=(3V /4π)⅓

Solving for "r"

r=(3V 4π)⅓=(3·36000 /4·π)⅓≈20.48352

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

It would be written as a =± 11

Answer:

Part A:

Locker A is bigger. Locker A has a volume of 324 cubic feet.

Part B:

$113.40 each month

Step-by-step explanation:

Part A

Locker A:

V = L(W)(H)

V = 6(6)(9)

V = 324

Part B

324(0.35) = 113.4

Locker A is bigger. Locker A has a volume of  324 cubic feet, while Locker B has a volume of 306 cubic feet.

Monthly rent for 324 cubic feet is $113.40

Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet.

Volume of the cuboid is length times width times height

[tex]volume \; of \; locker \; A = lwh\\=6 \cdot 6 \cdot 9\\=324 cubic feet[/tex]

Volume of locker A is 324 cubic feet

Volume  locker B is 306 cubic feet.

324 cubic feet is bigger thatn 306 cubic feet.

Locker A is bigger.

The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot.

Monthly rent for locker a is 0.35 per cubic feet.

Monthly rent for 324 cubic feet is [tex]324 \cdot 0.35 =113.4[/tex]

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