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Dimas [21]
3 years ago
14

Please solve itI need to submit this by tomorrow ​

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

1

Step-by-step explanation:

(3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
4 people stacked 40 pizzas . Ronnie stacked 0.25 of the pizzas and Mack stacked 9 outa the 40 and Kim stacked 35% so how many di
saw5 [17]

Answer:

7

Step-by-step explanation:

No. of pizza Ronnie stacked = 0.25 × 40

                                               = 10

No. of pizza Mack stacked = 9

No. of pizza Kim stacked = \frac{35}{100} × 40

                                         = 14

No. of pizza Ada stacked = 40 - 10 - 9 - 14

                                          = 7

3 0
3 years ago
Read 2 more answers
6.<br> 5. ¿Qué número tiene el mismo<br> valor que l centena, 7 decenas?
pashok25 [27]

Answer:

7 Decenas = 70 Unidades espero que te ayude

Step-by-step explanation:

5 0
3 years ago
Jo borrowed 3,800 for 4 months from a bank. the bank discounted the loan at 5.5%.
garri49 [273]
A.
I=prt
I=(3800)(.055)(4/12)
I=$69.67

b.
Principal-interest=money received from Bank
3800-69.67=$3730.34

c.
I=prt
69.67=3730.34(r)(4/12)
69.67=1243.45r
69.67/1243.45=1243.45/1243.45r
.056≈r
Rate is 5.60%
8 0
3 years ago
Part of Ariana's earnings are based on a 5% commission rate at the end Of the day Ariana earns $14.98 in commissions how much di
horsena [70]

Answer:

$0.75

Step-by-step explanation:

To find the answer multiply the amount of money earned by the percentage $14.98 and 5%

turn the percentage into a decimal. divide the number of the percentage by 100 5/100=0.05

multiply this by the amount of money to get 0.05*14.98=0.749. then round answer to two decimal places to get $0.75

3 0
3 years ago
Read 2 more answers
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