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Alex787 [66]
3 years ago
13

 A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, 10​% are pennies and 42​% are

dimes. There are 3 more nickels than pennies. How much money does the bag​ contain?
Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

Answer:

$2.55

Step-by-step explanation:

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PLEASE HELP GIVING MANY POINTS!
NeTakaya

Answer:

  69.01 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...

  tan(50°) = (h -1.65)/d

Rearranging to solve for d, we have ...

  d = (h -1.65)/tan(50°)

The distance across the plaza from the second surveyor satisfies the relation ...

  tan(30°) = (101.65 -h)/d

Rearranging this, we have ...

  d = (101.65 -h)/tan(30°)

Equating these expressions for d, we can solve for h.

  (h -1.65)/tan(50°) = (101.65 -h)/tan(30°)

  h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)

We can divide by the coefficient of h and simplify to get ...

  h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))

  h ≈ 69.0148 ≈ 69.01 . . . . meters

The tip of the spire is 69.01 m above the plaza.

3 0
3 years ago
On monday it took 5 builders to 3 1/2 hours to build a wall
zubka84 [21]

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took 3\dfrac{1}{2} hours  ( i.e. \dfrac{7}{2} hours )  to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : x_1y_1=x_2y_2

Let x be the time taken by 2 builders, then

2\times x =5\times \dfrac{7}{2}

\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75

So, 2 builders will take 8.75 hours.

Each paid  £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x  8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

5 0
3 years ago
Given x=-3, y=6, and z=-4 xz/-2y
zimovet [89]

Answer:

-1

Step-by-step explanation:

sub in the values of x, y and z into the equation

you get:

(-3)(-4)/(-2)(6)

= 12/-12

= -1

8 0
3 years ago
Read 2 more answers
Select all of the products of 2.74 • 7.5
Nana76 [90]
2.74x7.5=20.55=20.550
That's all of your answers.
7 0
3 years ago
Read 2 more answers
What is 224 blocks with 8 blocks in each row how many rows would I make
NikAS [45]
You will need 28 rows because if you divide 224 by 8 you would get 28 (:
3 0
3 years ago
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