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2 years ago

How do you do this?

Mathematics

1 answer:

ad-work [718]2 years ago

8 0

a) The ratio of the perimeters is the same as the scale factor, so the ratio is the perimeters is 2/3.

b) The perimeter of triangle ABC is $36\left(\frac{3}{2} \right)=\boxed{54 \text{ ft}}$

c) The ratio of the areas is the scale of the scale factor. In this case, the ratio is $(2/3)^{2}=\boxed{4/9}$

d) The area of FDE is $36(4/9)=\boxed{16 \text{ ft}^{2}}$

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A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00

10x + 15y = 333

and we have the linear system

8x + 13y = 282.60

10x + 15y = 333

which can be written in matrix form as

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)$

The solution would be given by

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)$

We have

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)$

hence

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)$

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0

3 years ago

24 students brought her permission slips to attend the class field trip is this represent at 8:10 to the class how many students

OlgaM077 [116]

Answer:

30 students

Step-by-step explanation:

24 over 80 is equal to x over 100

cross multiply and you get

80x =240

divide 80 on both sides

you get 3

add an extra sero

4 0

3 years ago

Which graph represents the function of f(x)= (4x^2-4x-8)/(2x+2)

g100num [7]

Answer:

<h2>graph representing :on then.line also </h2>

6 0

3 years ago

Read 2 more answers

--12 + 8x < -44 i need help

tigry1 [53]

The answer to this problem is x<-4

7 0

3 years ago

Collin Buys a TV for £720 depreciate at a rate of 4% per year how much will it be worth in three years

belka [17]

Answer:

The worth of the TV after 3 years is £809.90208

Step-by-step explanation:

The answer to given question can be found from the anual depreciation formula and solving for the Future Value (F. V.) of the machine

The given parameters of the TV are;

The amount at which Collin buys the TV, P = £720

The rate at which the TV depreciates at, R = 4%

The number of years the depreciation is applied, T = 3 years

The amount the TV is worth after three years, 'A', is given as follows;

$A = P \cdot \left(1 + \dfrac{R}{100} \right )^T$

By plugging in the known values, we have;

$A = 720 \cdot \left(1 + \dfrac{4}{100} \right )^3 = 809.90208$

The amount the TV is worth after three years, A = £809.90208

8 0

3 years ago

How do you do this? ​

How do you do this?