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fredd [130]
3 years ago
8

9) Which statement is true of the system of equations show below?

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

-3x -7y = -14

3x + 7y = 10

0x ¥ -4

answer is d

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22 (x+6)(x+6) ++ 3x3x ++ 44 ==
creativ13 [48]
I’m pretty sure the answer is 31x
2
+264x+836
4 0
2 years ago
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
1. A point at (3, 2) is rotated 180° clockwise about the origin.
luda_lava [24]
1.) (-3,-2)
2.) 8.4m^3
3.) 37.7m^3
6 0
2 years ago
The pic is my answer. try to be fast with it.
Nastasia [14]

Answer:

i would say the 3rd answer

4 0
2 years ago
Read 2 more answers
The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta
dalvyx [7]

Answer:

15 games.

Step-by-step explanation:

Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?

Given: Admission fees= $1.25 per person.

           Cost of each game played= $0.50.

           Total Money, Latoya and Donnetta have is $10.

First lets find total admission fees both will pay.

∴ Total addmission fees= Fees\ per\ person \times number\ of\ person

Total addmission fees= \$1.25\times 2= \$ 2.50

Now, money remaining after paying admission fees.

Money remaining = Total\ money - Admission\ fees

∴ Money remaining = \$10-\$2.5= \$ 7.5

∴ Money remained to play video games is $7.5.

Next, finding the maximum number of games, both will be able to play.

As we know, each game will cost $0.50.

Total number of games played= \frac{Money\ remaining}{Cost\ of\ each\ game}

⇒ Total number of games played=\frac{\$ 7.5}{\$ 0.5} = 15\ games

∴ 15 games is the maximum number of games they will be able to play.

3 0
3 years ago
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