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agasfer [191]
3 years ago
8

Caleb takes 21 minutes on 6 assignments. Write an equation to find the m, minutes spend on a,assignment.

Mathematics
2 answers:
Naily [24]3 years ago
4 0
21 divided by 6 = m. M=3.5 min spent per assignment OR
21 X 6 = M M = 126 min total spent on all assignments

The question isn’t really clear on which answer they are looking for....
ehidna [41]3 years ago
4 0
Caleb spent 3.5 minutes on each assignment.

21/6 = M
M = 3.5
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A system of linear equations in two variables can have _____ solutions
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3 years ago
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Pls help n explain what to do
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Answer:

3

Step-by-step explanation:

12*0.75=9

To find this do 9/12.

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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.
DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

5_b \cdot 23_b = 151_b

The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

b^2-5b-14=0

Next, we factorize the resulting expression.

b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2

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3 years ago
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Answer:

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Step-by-step explanation:

30x - 140 -(x - 4)

Multiply the -1 into (x - 4)

30x - 140 - x + 4

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29x = 136

\frac{29x}{29} = \frac{136}{29}

x = 4.689655172413793

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