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2 years ago

There are 12 coins ; dimes and quarters. The number of dimes is 2 more than the number of quarters.

Mathematics

1 answer:

galben [10]2 years ago

5 0

Answer:

D. $1.95

F. $3

Step-by-step explanation:

dimes: x + 2

quarters: x

x + 2 + x = 12

2x + 2 = 12

2x = 10

x = 5

dimes: x + 2 = 5 + 2 = 7

quarters: x = 5

Total value: (7 * .10) + (5 * .25) = $1.95

_____

dimes: x

quarters: 2x

x + 2x = 15

3x = 15

x = 5

dimes: x = 5

quarters: 2x = 2(5) = 10

Total value: (5 * .10) + (10 * .25) = $3

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Heda ate 1/12 box of ceral now the box is 3/4 full

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The answer would be 5/4

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2 years ago

6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?

Zanzabum

Answer:

I think it is D.

Step-by-step explanation:

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2 years ago

A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $120 for 100 minutes of us

soldi70 [24.7K]

The answer to this is C.

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3 years ago

A 4-pound bag of potatoes costs $3.16 how much would 32 pounds of potatoes costs

zimovet [89]

Answer:

$25.28

Step-by-step explanation:

Since a 4 pound bag cost $3.16 you would do 32 divided by 4 and you would get 8. Then you would do 8 times 3.16 and you get 25.28.

The long way:
4 bags = 3.16
8 bags = 6.32
12 bags = 9.48
16 bags = 12.64
20 bags = 15.80
24 bags = 18.96
28 bags = 22.12
32 bags = 25.28

7 0

2 years ago