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rewona [7]
2 years ago
15

Hannah can clear the lot in 5.5 hours. damion can do the same job in 7.5 hours

Mathematics
1 answer:
a_sh-v [17]2 years ago
6 0
Because (5.5+7.5)/2 = 6.5 the answer is 6.5.
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What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)
Karolina [17]

Answer:

x=-5

Step-by-step explanation:

4 0
3 years ago
A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
nikitadnepr [17]

Answer:

The sum of money deposited is approximately $22,021.74

Step-by-step explanation:

The given interest and amounts of the deposit are outlined as follows;

The simple interest per annum, R = 0.325%

The number of years the money is deposited, T = 4 years

The total amount received (Interest + Initial deposit), A = $50,650

We have;

I = P × R × T

Where;

P = The principal (initial amount deposited)

R = The (annual) interest rate = 0.325%

T = The time = 4 years

Therefore;

The total amount received, A = P + I

P + I = P + P × R × T = P × (1 + R × T)

∴ A = P + I = P × (1 + R × T)

P = A/(1 + R × T)

Plugging in the values, gives;

P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74

The sum of money deposited, P = $22,021.74

3 0
2 years ago
Juan and Franco collect baseball cards. Juan has baseball cards. Franco has 18 fewer baseball cards than Juan. Together they hav
horsena [70]

Answer:

Franco has 66 baseball cards.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of baseball cards that Franco has.

y is the number of baseball cards that Juan has.

Franco has 18 fewer baseball cards than Juan.

This means that:

x = y - 18

Also:

y = x + 18

Together they have 150 baseball cards.

This means that:

x + y = 150

Since y = x + 18

x + x + 18 = 150

2x = 132

x = \frac{132}{2}

x = 66

Franco has 66 baseball cards.

8 0
2 years ago
The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the
sukhopar [10]

Answer:

  58.1 cm

Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

__

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

  c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

  30² = 7.5 +b²

  b² = 900 -56.25 = 843.75

  b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

  rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.

7 0
1 year ago
Part À : Find a rational number that is between 9.5 and 9.7 - Explain why is it rational
noname [10]

9514 1404 393

Answer:

  A.  9.6

  B. √92 ≈ 9.59

Step-by-step explanation:

A. 9.6 is a rational number between 9.5 and 9.7. It is rational because it is a terminating decimal.

__

B. √92 is an irrational number between 9.5 and 9.7. It is irrational because it is the square root of an integer that is not a perfect square. Its decimal value is about 9.59.

6 0
3 years ago
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