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AnnyKZ [126]
3 years ago
11

Anne can pack 84 boxes in 6 minutes. How many boxes can she pack per minute?​

Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:14 boxes per minute.

Step-by-step explanation:

This is a simple equation.

84/6 = 14 boxes per minute.

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Solve these simultaneous equations:
ivolga24 [154]

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y  + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

4 0
2 years ago
Which of the following points are solutions to the system of inequalities shown below?
pychu [463]
This is easy, love. It's E 
3 0
3 years ago
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On a number line, 9.7 would be located where? Choose all answers that make a true statement
RideAnS [48]

Answer:

Step-by-stepapex answer to the left of 9.9 and to the right of 9.3 explanation:

6 0
3 years ago
4(b+2)=40 what is the value of b?
Katarina [22]

Answer:

Step-by-step explanation:

4b+8=40

4b=32

b=8

7 0
2 years ago
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IM FAILING MY CLASS PLS HELP ASAP
labwork [276]

Answer:

A) 7 + 4(n - 1)

Step-by-step explanation:

The explicit rule follows the form, Tn = a + (n - 1)*(d), where 'a' is the first term and 'd' is the common difference between the numbers

It says that the first term is 7, so 'a' is 7. It also says that the numbers go up by 4 (adding 4 to the previous number), hence 'd' is 4.

Sub these values into the equation:

Tn = 7 + (n - 1)*(4)

Same as: 7 + 4(n - 1)

4 0
3 years ago
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