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Novay_Z [31]
3 years ago
8

The licene fee for a car which costs $9,200 is $82. at the same rate, what is the licence fee for a car that cost $9,900.

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Step 1: Assign variable for the unknown that we need to find.

Let 'x' be the licence fee for a car that cost $9,900.

Step 2: Set up a proportion based on the given information.

\frac{x}{9900} =\frac{82}{9200}

Step 3: Solve for x

To get x alone we need to undo whatever is done to x. So multiply 9900 on both sides of the equation.

\frac{9900x}{9900} =\frac{9900*82}{9200}

Simplifying fraction on both sides of the equation, we get...

x=88.24

Conclusion:

<u>$88.24 is the licence fee for a car that cost $9,900.</u>

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Two charges: q1=5C and q2= -3C are separated by 3.6 * 10^-6m. What is the force between them? Do the charges repel or attract?
Alex

Answer:

F = - 10.417 × 10²¹ N

since, the charges are opposite in nature, thus they will attract.

Step-by-step explanation:

Data provided in the question:

charges

q₁ = 5 C

q₂ = -3 C

r = 3.6 × 10⁻⁶ m

now,

the force (F) between the two charges is given as:

F=\frac{kq_1q_2}{r^2}

k is the coulomb's constant = 9 × 10⁹ N·m²/C²

on substituting the values, we get

F=\frac{9\times10^9\times5\times(-3)}{(3.6\times10^{-6})^2}

or

F = - 10.417 × 10²¹ N

since, the charges are opposite in nature, thus they will attract.

8 0
4 years ago
Fudykkydeo6ee6orl6rly fjfijt
Reptile [31]

There are 3 feet in 1 yard. 300 feet is equal to 100 yards.

2 pieces of rope at 16 yards = 32 yards

1 piece of rope at 12.5 yards = 12.5 yards

1 piece of rope at 123.25 feet, divided by 3 feet per yard = 41.1 yards (approx.)

100 - 32 - 12.5 - 41.1 = 14.4 yards

Now multiply by this number of yards by 3 to convert it to feet.

14.4 x 3 = 43.2 feet

The school club needs 43.2 feet of additional rope.

5 0
3 years ago
5.7005 million in figures???
Reika [66]

Answer:

5,700,500

Step-by-step explanation:

5.7005 million

5.7005 million

Million is written as 1,000,000

Now:

5.7005million is 5.7005 x 1,000,000

This gives: 5,700,500

8 0
3 years ago
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Matteo has &amp;400 in his saving account. on average he spends $10 per week on buying apps. Luca has $200 in his savings accoun
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Answer:

8 weeks

Step-by-step explanation:

Given data

Matteo

Amount= $400

Spending per week= $10

Hence his balance after x weeks is given as

y=400-10x-------------1

Luca

Amount= $200

Spending per week= $15

Hence his balance after x weeks is given as

y=200+15x-------------2

Equate 1 and 2

400-10x=200+15x

collect like terms

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200=25x

x= 200/25

x= 8 weeks

Hence it will take 8 weeks

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3 years ago
Which relationship has a zero slope?
kow [346]

The second one (straight line parallel to the y axis)

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