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Lady bird [3.3K]
4 years ago
8

Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistent

Mathematics
1 answer:
Eddi Din [679]4 years ago
5 0

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

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. [15 points] Alex is at the northernmost point of a circular parking lot with radius 26 feet. Dylan stands 22.4 feet west and 2
valentina_108 [34]

Answer:

31.925 ft

Step-by-step explanation:

A diagram is needed to visualize Dylan's movement to Alex see below

thus (-22.4)² + y²  = 26²

y² = 26² - (22.4)² = 174.24

y = -√174.2 = - 13.2 ft note due south

closest point at intersection

3/11*  ( x- 26) = -11/3 x * + 26

3/11 x - 78/11 = -11/3x + 26

3/11 x +11/3x = 26 + 78/11

130/33 x = 364/11

x = 364/11 * 33/130 = 8.4

then y = 3/11 * (x -26)

      x = 8.4 substitute, gives y = 3/11 * (8.4 -26) = -4.8

distance from (8.4 , -4.8) to (0 , 26)

√[(0 -8.4)² +  ( 26-(-4.8))² ] = √[( -8.4)² +  ( 30.8)² ] = 31.925 ft

5 0
3 years ago
Billy wants to buy a $1250 drum set and the
nadya68 [22]

Answer:

LOL i don't even know

Step-by-step explanation:

8 0
3 years ago
Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t be time.) There are presently
Darya [45]

Let us say that t is number of months and n is the number of cases of Bangkok flu, therefore the equation we can create here is:

dn / dt = 10 t + 450

<span>where 10 represents the slope and 450 represents the y-intercept</span>

7 0
3 years ago
Answer questions 15 and 17 show work pls
fredd [130]

Answer:

#15) B. 30 mn^5

#17) B. 1/2

Step-by-step explanation:

<h2>#15:</h2>

The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.

All of these measurements are given so all that you need to do is to substitute these values into the formula.

Substitute 3 for a, 9 for b, and 5 for h.

  • 1/2(3 + 9) * 5

Solve inside the parentheses first. Add 3 and 9.

  • 1/2(12) * 5

Multiply 12 and 1/2 together.

  • 6 * 5

Multiply 6 and 5.

  • 30

We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.

After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.

Therefore the final answer is B. 30 mn^5.

<h2>#17:</h2>

When going down from 32 to 8 to 2, you can see that each number is being divided by 4.

32 / 4 = 8...

8 / 4 = 2...

So to find the next number in this sequence you would divide 2 by 4.

  • 2 / 4 = 1/2

The answer is B. 1/2.

6 0
3 years ago
Mach the Zodiac to the Months (In order of Zodiac) (NO HELP FROM FRIENDS OR INTERNET)
Sergio [31]

Answer:

Virgo:september-october,

Step-by-step explanation:

5 0
3 years ago
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