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lara31 [8.8K]
3 years ago
15

I need help on this.

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

a) answered in the image attached

b) y=2.75x+3.50

c) y=2.75(5)+3.50

   y=17.25

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How to answer this? A farmer had 455 ducks and chickens. He sold 2/5 of the ducks and bought another 104 chickens. As a result,
julia-pushkina [17]

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

7 0
2 years ago
Lian needs to solve the quadratic equation: x^2 - 4x - 2 = 0. Which statement about how Lian should solve this equation is true?
Ulleksa [173]

Answer:

x = 4.45 or x = - 4.45

Step-by-step explanation:

Here are the steps:

Substitute the values,

4+\sqrt{-4^2-4(1*-2)} ÷ 2 × 1

x = 2 ± √6

x = 4.45 or x = - 4.45

<em>good luck, i hope this helps :)</em>

5 0
3 years ago
Read 2 more answers
Write the equation of the circle that has a center of (-7, 17) with<br> a radius of V19.
kipiarov [429]

I think your question seems to be :-

Write the equation of the circle that has a center of (-7, 17) with a radius of √19

So , as we know that the equation of circle with centre at <em>(h,k)</em> and <em>radius r</em> is given by {\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}} . Now , using same concept in this question ;

{:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}

<em>This is the required equation of Circle </em>

8 0
2 years ago
Which best summarizes the Pythagorean Theorem?
bezimeni [28]

Answer:

the bottom right one

Step-by-step explanation:

3 0
3 years ago
Finish the following statement: In the altitude to hypotenuse theorem, the ALTITUDE is the geometric mean...
madam [21]
The hypotenuse is believe is what your looking for if not I do not understand because of how it’s worded
8 0
3 years ago
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