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Misha Larkins [42]
3 years ago
8

74. Seven workers are hired to seed a field by hand. Each is given a plot 7 x 7

Mathematics
1 answer:
Lelu [443]3 years ago
6 0

Answer:

The total area of the field is 343 square feet

Step-by-step explanation:

Let us solve the question

∵ There are 7 workers hired to seed a field by hand

∵ Each is given a plot 7 x 7  feet in size

→ The plot has shaped a square because its two dimensions equal

∴ The side of the plot = 7 feet

∵ The area of the square = side × side

∴ The area of each plot = 7 × 7

∴ The area of each plot = 49 square feet

→ To find the total area multiply the area of 1 plot by the number

   of the workers

∵ The total area = 49 × 7

∴ The total area = 343 square feet

∴ The total area of the field is 343 square feet

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The capacities of two trucks are 3 tons and 4 tons respectively. If the smaller truck makes 18 more trips than the larger, it ca
maw [93]

Let's assume

x represent the number of trips that the larger truck makes

so, we are given

If the smaller truck makes 18 more trips than the larger

so,

number of trips for larger truck =x

number of trips for smaller  truck =x+18

The capacities of two trucks are 3 tons and 4 tons respectively

so, capacity of smaller truck per trip =3 tons / trip

total ton carried by smaller truck = (number of trips for smaller  truck)*(capacity of smaller truck per trip)

now, we can plug values

total ton carried by smaller truck =3*(x+18)

total ton carried by larger truck = (number of trips for larger  truck)*(capacity of larger truck per trip)

total ton carried by larger truck =4x

it can deliver 12 more tons of freight than the larger

so, we get

3(x+18)=4x+12

we can move 4x on left side

we get

3(x+18)-4x=12...............Answer

5 0
3 years ago
Find the solution of the system of equations. 3x-8y = 19<br>3x + 5y = -46<br>​
sattari [20]

(-7,-5)

Step-by-step explanation:

3x-8y = 19

minus

3x + 5y = -46

0x - 13y = 65

- 13y = 65

÷-13

y = - 5

Substitute y = - 5 into one of the functions:

3x-8y = 19

-8 x - 5 = 40

3x + 40 =19

-40

3x. = - 21

÷3

x= - 7

Solution is (-7,-5)

Hope this helps!

4 0
3 years ago
Earth is approximately 9.3 × 10^7 miles from the sun and Saturn is approximately 8.87 × 10^8 miles from the sun. Approximately h
denis23 [38]

Answer:

7.94 x 10⁸miles

Step-by-step explanation:

Given parameters:

Distance of earth from sun = 9.3 x 10⁷miles

Distance of earth from Saturn  = 8.87 x 10⁸miles

Unknown:

How much further from the sun is Saturn than Earth = ?

Solution:

To find the solution to this problem, let us find the difference between their distances:

           ( 8.87 x 10⁸ miles  - 9.3 x 10⁷ miles )

         = 88.7 x 10⁷ miles - 9.3 x 10⁷ miles

         = (88.7 - 9.3) x 10⁷miles

          = 79.4 x 10⁷miles

          = 7.94 x 10⁸miles

8 0
3 years ago
Find Dy/dX when x^y×y^x=1​
victus00 [196]

by dy/dx, we'll be assuming that "y" is encapsulating a function, a function in terms of "x".

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7 0
3 years ago
5. A rectangle ABCD has vertices A(-2, 3), B(3, 3), C(3, -5). Find the coordinates of D.
marta [7]

Answer: Area is 40, Cord is (-2,-5)

Step-by-step explanation:

3 0
2 years ago
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