3 years ago

Two more than four times a number is three

Mathematics

1 answer:

klio [65]3 years ago

5 0

Answer:

1/4 is the number

a.k.a. 0.25

Step-by-step explanation:

Replace the words "a number" with x

4x + 2 = 3

Then, simplify

4x = 1

x = 1/4

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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

iVinArrow [24]

Answer:

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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