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dolphi86 [110]
3 years ago
15

Harold move no more than 43 of his sheep and goats into another field. fewer than 22 this animals are goats.

Mathematics
1 answer:
user100 [1]3 years ago
8 0
A is the answer
I think
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Peter has money in two savings accounts. One rate is 6% and the other is 14%. If he has $900 more in the 14% account and the tot
-BARSIC- [3]

Answer:

  • $1375 at 14%
  • $475 at 6%

Step-by-step explanation:

Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...

  0.14x + 0.06(x -900) = 221

  0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify

  x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%

  (x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%

Peter invested $475 in the 6% account and $1375 in the 14% account.

7 0
3 years ago
Please answer and show how you did it!
Anna35 [415]
This is a parabola, first, locate the line of symmetry.
the line of symmetry is x=-b/2a
in this case, b=-2, a=-1, so the line of symmetry is x=-1
when x=-1, f(x)=-(-1)²-2(-1)-3=-2  
locate the point (-1,-2) on the grid. this point is the vertex.
get two pairs of points with x=-1 as the symmetry line:
(0, -3) and (-2, -3); (1,-6) and (-3,-6) 
connect these five points into a parabola, stick out at the ends because it will extend forever downward. 
3 0
3 years ago
G= -4b - 3 + 3a , for a
tatyana61 [14]

a= 4/3b+1/3g+1

extra word extra word

8 0
3 years ago
Solve by the substitution method.
GalinKa [24]

Answer:

The unique solution to the system is (x,y){(-9,-3)}

Step-by-step explanation:

x - y = -6     equation 1

5x + 6y = -63     equation 2

We will find the value of x from equation 1.

x= y-6

Now put the value of x in equation 2.

5(y-6)+6y = -63

5y-30+6y = -63

Combine the like terms:

5y+6y= -63+30

11y = -33

Divide both sides by 11.

11y/11 = -33/11

y = -3

Now put the value y = -3 in x=y-6

x = y-6

x= -3-6

x= -9

Therefore The unique solution to the system is (x,y){(-9,-3)} ....

7 0
3 years ago
Read 2 more answers
In the given figure find the value of the unknown interior angle x in the following figure.​
Leto [7]

Answer:

Therefore, the measure of angles x is 55°.

Step-by-step explanation:

From the given figure ,

105° is the exterior angle

x° and 50° are the two interior opposite angles to 105°

We know that

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles

⇛ x° + 50° = 105°

⇛ x° = 105°-50°

⇛ x° = 55°

Therefore , x = 55°

<u>Exterior</u><u> </u><u>Angle:</u><u>↓</u>

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.

Hope this helps!!

5 0
2 years ago
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