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Ahat [919]
2 years ago
12

A collection of 19 coins consisting of nickels and dimes is worth $1.35. How many dimes are there

Mathematics
1 answer:
pshichka [43]2 years ago
3 0

Answer:

There are 8 dimes there.

Step-by-step explanation:

This question is solved used a system of equations.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

19 coins

This means that x + y = 19.

A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So

0.05x + 0.1y = 1.35

How many dimes are there?

We have to find y.

From the first equation: x = 19 - y.

Replacing in the second:

0.05(19 - y) + 0.1y = 1.35

0.95 - 0.05y + 0.1y = 1.35

0.05y = 0.4

y = 0.4/0.05

y = 8

There are 8 dimes there.

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The total cost for tuition plus room and board at State University is $2,584.00. Tuition costs $100 more than twice room and boa
liq [111]

Answer:

$1756

Step-by-step explanation:

1.  More = Addition

2. Twice = Multiplication by 2

3. Tuition costs $100 more than twice room and board

   Tuition = 2x + 100

   $2584 = (2x + 100) + x

   $2584 = 3x + 100

4. Subtract 100 on both sides: $2484 = 3x

5. Divide both sides by 3: $828 = x

6. Plug it in to the tuition equation: Tuition = 2(828) + 100

                                                                       = $1756

Check Work: (828*2) + 100 = $1756

                      $1756 + 828  = $2584

7 0
2 years ago
If you multiply (2x+1)(x-5) what’s the answer
photoshop1234 [79]

Answer:

2x^2 - 9x - 5

Step-by-step explanation:

(2x+1)(x-5)

Using FOIL

= 2x^2 - 10x + x - 5

= 2x^2 - 9x - 5

5 0
2 years ago
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What is the measure of angle XYZ?
Ierofanga [76]

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

6 0
3 years ago
What is the area?
balu736 [363]

Answer:

Solution given:

For rectangle

length [L]=BC=16in

breadth [b]=AB=4in

For traingle

length[l]=8in

breadth [b]=3in

total area =area of rectangle ABCD+2×area of triangle DEF

=L×b+2×1/2×[b×h]

=16×4+8×3=88in² is your answer

4 0
2 years ago
A submarine starts at the surface of the water and travels to the bottom, a depth of 4000 feet. Graph A shows its distance from
denpristay [2]

Answer:

On Graph B, at 0 hours, the graph will be at 0 feet.

Then, the graph will increase until 1 hour, when the submarine reaches its deepest point.

At 1 hour, the height of Graph B will be 4000 feet.

Step-by-step explanation:

6 0
3 years ago
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