All categories

3 years ago

Tristan has a pickup truck that could carry 7/ 6 -cord of firewood. Find the number of trips needed to carry 14 cords of wood.

Mathematics

2 answers:

IceJOKER [234]3 years ago

3 0

14 / (7/6) =
14 * 6/7 =
84/7 =
12 trips <==

jekas [21]3 years ago

3 0

Answer:

12 trips will be needed to carry 14 cords of the wood.

Step-by-step explanation:

We will use unitary method to solve this problem.

∵ Pick up truck carry $\frac{7}{6}$ cord of firewood in trip = 1

∴ Pick up truck will carry 1 cord of firewood in the trips = $\frac{1}{\frac{7}{6}}$ tips

= $\frac{6}{7}$ trips

∴ Truck will carry 14 cords of firewood in the trips = $\frac{14\times 6}{7}$

= 12 trips.

Therefore, 12 trips will be needed to carry 14 cords of the wood.

You might be interested in

Charlie’s pizza charges $12 for a medium cheese pizza plus $2 for each additional topping. The cost of a medium pizza, y, with x

brilliants [131]

Answer:

<u>The correct answer is Graph A. It's the only graph with the right values for (x, y) within the Cartesian plane. </u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Amount that Charlie’s pizza charges for a medium cheese pizza = US$ 12

Amount that Charlie’s pizza charges for each additional topping = US$ 2

Cost of a medium pizza (y) with (x) toppings is represented by the equation:

y = 12 + 2x

2. Let's find the values for the equation:

When no toppings are added:

y = 12 + 2 * 0 = 12 + 0 = 12

When 1 topping is added:

y = 12 + 2 * 1 = 12 + 2 = 14

When 2 toppings are added:

y = 12 + 2 * 2 = 12 + 4 = 16

When 3 toppings are added:

y = 12 + 2 * 3 = 12 + 6 = 18

When 4 toppings are added:

y = 12 + 2 * 4 = 12 + 8 = 20

As we can see, the graph starts with the point (0, 12) and continues with (1, 14), (2, 16), (3, 18), (4, 20).

Graph B starts with the point (0, 4) and graph C with the point (0,6). They're incorrect. And graph D starts with (0, 12) but continues with (1, 13), (2, 14) (3, 15) and (4, 16), so this graph is also incorrect.

<u>The only graph with the right values for the Cartesian plane is Graph A.</u>

4 0

3 years ago

Which equation can be simplified to find the inverse of y = 2x ^ 2 ?

Rama09 [41]

Answer:

D)x = 2y ^ 2

Step-by-step explanation:

y = 2x ^ 2

To find the inverse exchange x and y

x = 2 y^2

Then solve for y

Divide by 2

x/2 = 2y^2 /2

x/2 = y^2

Take the square root of each side

±sqrt(x/2) = y

8 0

3 years ago

Does the equation x2 - 10x + y2 - 6y = -30 intersect the x-axis?

Dmitriy789 [7]

Intersecting the x axis means y is 0
plug y=0 in the equation and solve for x to see if there are real solutions
x^2-10x+0+0=-30
x^2-10x+30=0
this cannot be factored, so let's see if b^2-4ac is bigger than 0
10^2-4*1*30=-20
so the solutions for this equation are not real numbers, therefore the answer is no.

5 0

3 years ago

Simplify each expression by combining like terms.

frosja888 [35]

1.) 20x
2.) 1y
3.)-2t
4.)3n
5.)17w^2

5 0

3 years ago

5 3/10 + 3 9/10 simplify or mixed number

Ymorist [56]

The answer is 9 1/5 simplified.

Too lazy to make up an explanation or change it to a mixed number even tho it is easy...

3 0

4 years ago

Read 2 more answers

Tristan has a pickup truck that could carry 7/ 6 ​-cord of firewood. Find the number of trips needed to carry 14 cords of wood.

Tristan has a pickup truck that could carry 7/ 6 -cord of firewood. Find the number of trips needed to carry 14 cords of wood.