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Oksanka [162]
3 years ago
9

There are red and green apples in a crate.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

28

Step-by-step explanation:

60 apples by 5 is 12. When Georgia put some more apples in we now have to divide 60 by 3 which is 20 and then multiply that by 2 which is 40. So, if the ratio was 1:3 it would be 20:60 but it is 2:3 so the answer is 40:60. Do 40 minus 12 to find how much Georgia added. 40 minus 12 is 28.

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You bought a large cooler that holds 55 gallons. How many quarts is that?
Leno4ka [110]
I'm confused because the answer is 220 quarts.
If you look at the other one you asked, I explained it.
6 0
3 years ago
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
Mrac [35]

Answer:

b

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³ ( where r is the radius )

Here r = 3, thus

V = \frac{4}{3}π × 3³

   = \frac{4}{3}π × 27 = 4π × 9 = 36π in³ → b

3 0
3 years ago
Read 2 more answers
(5n−5)(2+2n) standard form
mash [69]

Answer:

10n -10

Step-by-step explanation:

5n * 2n = 10n

-5 * 2 = -10

-10 + 10n = 10n - 10

3 0
3 years ago
Read 2 more answers
Is -2(3x-7) equivalent to 19+12x-5-6x? YES or NO???
nadezda [96]

Answer:





6. 6x-21=33+9x 7. -15x=-5(3x+7) 8. 16x-19=113-6x 9. -19x-34=56-x 10. -6(4x+3)=6(4x-3)?

6. 6x-21 = 33 +9x

+21 + 21

6x = 54 + 9x

-9x -9x

-3x = 54

/3 /3

x = -18

7. -15x = -5(3x+7)

First multiply the -5 to the other numbers.

-15x = -15x - 35

0x = -35

7 is impossible I believe.

8. 16x-19 = 113-6x

+6 +6

22x - 19 = 113

+ 19 +19

22x = 132

/22 /22

x = 6

9. -19x - 34 = 56 - x

+19x +19x

-34 = 56 + 18x

-56 -56

-90 = 18x

/18 /18

x = -5

10. -6(4x+3) = 6[4x-3]

-24x - 18 = 24x - 18

+18 +18

-24x= 24x

x = 0, since only zero can make the equation true.

7 0
3 years ago
Create a matrix for this system of linear equations, The determinant of the coefficient matrix is
marin [14]

Answer:  The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation:  The given system of linear equations is :

2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.

Now, from equations (ii) and (iii), we have

x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.

From equations (iv) and (v), we get

y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0
3 years ago
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