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natali 33 [55]
4 years ago
7

1/5m + 6 = 3/4 What is m?

Mathematics
1 answer:
kakasveta [241]4 years ago
7 0
1/5m + 6 = 3/4

subtract 6 from each side

1/5m = 3/4 - 6

divide 1/5 from each side

m = 3/4÷1/5 - 6/5

simplify

m= 3/4 × 5 - 6/5
m = 15/4 - 6/5
m = 75/20 - 24/20
m = 51/20

m = 2 11/20


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The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 8 cm/s. When the length is
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Step-by-step explanation:

A = lw \nl\frac{\dA}{\dt} =\frac{\dA}{\text{d}l}\frac{\text{d}l}{\dt} + \frac{\dA}{\text{d}w}\frac{\text{d}w}{\dt} =w\frac{\text{d}l}{\dt} + l\frac{\text{d}w}{\dt} \nll = 20 \text{ cm} \;\; \frac{\text{d}l}{\dt} = 8 \text{ cm/s} \;\;w = 10 \text{ cm}, \;\;  ]\frac{\text{d}w}{\dt} = 3 \text{ cm/s} \nl\frac{\dA}{\dt} =(  10 \text{ cm} )( 8 \text{ cm/s} ) + (  20 \text{ cm} )( 3 \text{ cm/s} )  =140 \text{ cm}^2\!\text{/s}


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\displaystyle \large{x-2d=-2 \to (1)}\\\\\displaystyle \large{x+2d=26 \to (2)}

Solve the simultaneous equation for x-term:

\displaystyle \large{2x=24}\\\\\displaystyle \large{x=12}

Let’s make sure that we get accurately answer. Substitute x = 12 in any equations which I’ll choose (1):

\displaystyle \large{12-2d=-2}\\\\\displaystyle \large{-2d=-14}\\\\\displaystyle \large{d=7}

Now add each terms with common difference as 7:

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