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3 years ago

Solve the equation for y, in terms of x. Simplify if possible. * 8x – 4y = 16

Mathematics

2 answers:

neonofarm [45]3 years ago

7 0

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$8x - 4y = 16$

Subtract sides 8x

$- 8x + 8x - 4y = - 8x + 16$

$- 4y = - 8x + 16$

Divide sides by - 4

$\frac{ - 4y}{ - 4} = \frac{ - 8x + 16}{ - 4} \\$

$y = \frac{ - 8x}{ - 4} + \frac{16}{ - 4} \\$

$y = 2x - 4$

Done...

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Viefleur [7K]3 years ago

6 0

Answer:

y = -4 + 2x

Step-by-step explanation:

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Please Help! I need within 5 minutes!

Phoenix [80]

Answer:

its the first question i think it might be wrong idk

Step-by-step explanation:

because when you find the area you multiply two sides so you have to add 10 and 5 and then multiply it by 18

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2 years ago

Use synthetic division to solve (x cubed minus x squared minus 17 x minus 15) divided by (x minus 5). What is the quotient?

My name is Ann [436]

Answer:

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Step-by-step explanation:

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2 years ago

Find 3 ratios that are equivalent to the given ratio. 5:8

timofeeve [1]

$\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}$

The given ratio is 5:8, Write it as fraction then multiply the numerator and denominator with same number to get the fractions or ratios equivalent to the given one.

Let's solve!~

$\rule{300pt}{3pt}$

$\large \sf \: 5 : 8 = \frac{5}{8}$

$\sf \: \frac{5}{8} \times \frac{2}{2} = \frac{10}{16} \\ \tt \frac{5}{8} = \frac{10}{16}$

First equivalent ratio is 10:16

$\rule{300pt}{3pt}$

$\sf \frac{5}{8} \times \frac{4}{4} = \frac{20}{32} \\ \tt \: \frac{5}{8} = \frac{20}{32}$

Second equivalent ratio is 20:32

$\rule{300pt}{3pt}$

$\sf \: \frac{5}{8} \times \frac{5}{5} = \frac{25}{40} \\ \tt \: \frac{5}{8} = \frac{25}{40}$

Third equivalent ratio is 25:40.

7 0

2 years ago

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is

Hunter-Best [27]

Answer:

129 $cm^2/s$

Step-by-step explanation:

Increasing rate of length, $\frac{dl}{dt}$ = 9 cm/s

Increasing rate of width, $\frac{dw}{dt}$ = 7 cm/s

Length, l = 12 cm

Width, w = 5 cm

To find:

Rate of increase of area of rectangle at above given points.

Solution:

Formula for area of a rectangle is given as:

$Area = Length \times Width$

$A = l \times w$

Differentiating w.r.to t:

$\dfrac{d}{dt}A = \dfrac{d}{dt}(l \times w)\\\Rightarrow \dfrac{d}{dt}A = w \times \dfrac{d}{dt}l +l \times \dfrac{d}{dt}w$

Putting the values:

$\Rightarrow \dfrac{dA}{dt} = 5 \times 9 + 12 \times 7\\\Rightarrow \dfrac{dA}{dt} = 45 + 84\\\Rightarrow \bold{\dfrac{dA}{dt} = 129\ cm^2/sec}$

5 0

2 years ago

There are 36 flowers in a bouquet. Two-thirds if the flowers are roses. One-fourth of the roses are red. What percent of the bou

s2008m [1.1K]

2/3 are roses
1/4 of the 2/3 are red

1/4 * 2/3 = 2/12 = 1/6

One-fourth of two-thirds is one-sixth.
Now we need to change 1/6 into a percent.

1 is to 6 as x is to 100.

1/6 = x/100

6x = 1 * 100

6x = 100

x = 100/6

x = 16 2/3

Answer: 16 2/3%

7 0

3 years ago

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