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Nat2105 [25]
3 years ago
9

The money you earn varies directly with the number of lawns you mow. You earn $36 for mowing three lawns. a. Write an equation f

or the relationship between money earned and lawns mowed. b. How much money will you earn for mowing seven lawns?
Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:

a. y = 36x, b. $252

Step-by-step explanation:

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A math teacher noticed that her students always missed class when she gave a test. she was very confused by this, since a test i
IgorC [24]

Deductive reasoning!!!

3 0
3 years ago
The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles. Complete the sent
Liono4ka [1.6K]

Answer:

Distance = 9.276 * 10^7 miles

Step-by-step explanation:

Given

Earth\ to\ Moon = 2.4 * 10^5 miles

Earth\ to\ Sun = 9.3 * 10^7 miles

Required

Difference in the distance of earth to sun to the distance of earth to moon

This can be solved using:

Distance = Earth\ to\ Sun - Earth\ to\ Moon

Distance = 9.3 * 10^7 - 2.4 * 10^5

Express 10⁷ as 10⁵ * 10²

Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5

Factorize:

Distance = 10^5(9.3 * 10^2 - 2.4)

Solve the expression in the bracket

Distance = 10^5(9.3 * 100 - 2.4)

Distance = 10^5(930 - 2.4)

Distance = 10^5(927.6)

Distance = 927.6 * 10^5

Expand 927.6

Distance = 9.276 * 10^2 * 10^5

Distance = 9.276 * 10^{2+5}

Distance = 9.276 * 10^7

3 0
3 years ago
2. Mourette is a member of her high school golf team. She hits a golf ball
Llana [10]

Answer:

a. h = 60t − 4.9t²

b. 12.2 seconds

c. 183.7 meters

Step-by-step explanation:

a. Given:

y₀ = 0 m

v₀ = 60 m/s

a = -9.8 m/s²

y = y₀ + v₀ t + ½ at²

h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²

h = 60t − 4.9t²

b. When the ball lands, h = 0.

0 = 60t − 4.9t²

0 = t (60 − 4.9t)

t = 0 or 12.2

The ball lands after 12.2 seconds.

c. The maximum height is at the vertex of the parabola.

t = -b / (2a)

t = -60 / (2 × -4.9)

t = 6.1 seconds

Alternatively, the maximum height is reached at half the time it takes to land.

t = 12.2 / 2

t = 6.1 seconds

After 6.1 seconds, the height reached is:

h = 60 (6.1) − 4.9 (6.1)²

h = 183.7 meters

7 0
3 years ago
The perimeter of the triangular park shown on the right is 11x - 7. What is the missing length?
AysviL [449]

Answer:

6x-4

Step-by-step explanation:

the perimeter is the distance around the shape, we get this by adding all the sides, call the missing side y and set up an equation for the perimeter

11x-7 = 4x+2 + x-5 + y

solve for y

11x-7 = 5x -3 + y

11x-4 = 5x + y

6x-4 = y

4 0
3 years ago
4. A'S sporting goods store thinks a $85 tennis racket will cost 6% less next year. HoW much will the Tennis racket coST nexT ye
DIA [1.3K]

Answer:

multiplying by .06 will give you the amount of the increase , which you can add to the original price

to do it in one step , factor in 100% of the original price

the new price is 106% of the original

$85 * 1.06

8 0
3 years ago
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