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3 years ago

Alexander is riding his bicycle to school. After one mile he is a third of the way there. How much more does he have to ride

Mathematics

2 answers:

natulia [17]3 years ago

7 0

If the question unit is miles, then he has 2 miles to go, the trip total is 3 miles.

bogdanovich [222]3 years ago

7 0

You are given
1 mile = (1/3)*(distance to school)
Multiply this equation by 3 and you have
3 mile = (distance to school)

You also know that
(distance ridden so far) +(remaining distance) = (distance to school)
Subsituting given information, this is
1 mile + (remaining distance) = 3 mile
Subtracting 1 mile from this equation gives
(remaining distance) = 2 miles

Alexander has 2 miles more to ride.

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Solve for w p=1.2w/h^2

andreyandreev [35.5K]

Solve for w:
p = (1.2 w)/h^2
(1.2 w)/h^2 = (6 w)/(5 h^2):
p = (6 w)/(5 h^2)
p = (6 w)/(5 h^2) is equivalent to (6 w)/(5 h^2) = p:
(6 w)/(5 h^2) = p
Multiply both sides by (5 h^2)/6:
Answer: w = (5 h^2 p)/6

6 0

3 years ago

Suppose the leader of a camping trip is putting together a trail mix

wel

Answer:

8 pounds of peanuts, 6 pounds of raisins and 6 pounds of chocolate chips

Step-by-step explanation:

Let x be the number of pounds of peanuts and y be the number of pounds of raisins and chocolate chips.

Peanuts cost $2 per pound, then x pounds cost $2x.

Raisins cost $2.50 per pound, then y pounds cost $2.50y.

Chocolate chips cost $4 per pound, then y pounds cost $4y.

In total, x+y+y=20 and those 20 pounds cost

2x+2.50y+4y=20·2.75.

Solve the system of two equations:

$\left \{ {{x+2y=20} \\ \\ \\ \\ \\ \\ \atop {2x+6.5y=55}} \right.$

From the first equation:

$x=20-2y$

Substitute x into the second equation:

$2(20-2y)+6.5y=55\\ \\40-4y+6.5y=55\\ \\2.5y=15\\ \\25y=150\\ \\y=6\\ \\x=20-2\cdot 6=8$

8 0

3 years ago

A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, e

topjm [15]

Answer:

The number of ways are there to paint the four buildings is 48.

Step-by-step explanation:

I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.

Therefore the first building can be colored in 4 ways.

ii) the second building can be colored in 3 ways since it cannot be colored the

same color as the first building.

iii) the third building can also be colored in 3 ways.

iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.

Therefore the total number of ways the buildings can be colored = 4 $\times$ 3 $\times$ 3 $\times$ 2 = 48.

7 0

2 years ago

A resturant is making a large amount of slad dressing the recipe uses 15 ouncesof vineger and 54 ounces of oil what is the ratio

Sveta_85 [38]

The ratio to this problem will have to be 15 to 54

5 0

3 years ago

Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25 at another store he can

natita [175]

Answer: the number of tiles will be 49

Step-by-step explanation:

Let x represent the number of tiles that Joshua can buy at either stores.

one store for $0.99 per tile but he he will have to rent a tile saw for $25. Let the total cost of buying x tiles in this store be y. Therefore

y = 0.99x + 25

At another store, he can buy a tile for $1.50 per tile and borrow a tile saw for free. Let the total cost of buying x tiles in this store be z. Therefore

z = 1.5x

To determine the number of tiles for which both costs will be the same, we will equate y to z. It becomes

0.99x + 25 = 1.5x

1.5x - 0.99x = 25

0.51x = 25

x = 25/0.51

x = 49

3 0

3 years ago