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4 years ago

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What best describes the expression y over 4? Some number divided by 4 Some number times 4 4 more than some number 4 less than so

me number

2 answers:

ss7ja [257]4 years ago

7 0

Answer:

Some number divided by 4

Step-by-step explanation:

Serhud [2]4 years ago

5 0

<em>y over 4 </em><em>means the number (y)</em><u><em /></u><em> </em><em>divided by 4.</em><u><em>
</em></u>

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Express the ratio 14 inches to 3 feet as a fraction in simplest form

artcher [175]

The answer is gonna be 14:36

7 0

3 years ago

What is the answer??

Amanda [17]

Answer:

angle 1= 104 angle 2= 76

Step-by-step explanation:

angle 1 equals x+66 and angle 2 equals 2x so you set up an equation where they are the sum of 180 degrees because the angles are supplementry angles.

x+66+2x=180 set the sum of the angles to 180

3x+66=180 combind like terms

3x=144 subract 66 from both sides

x=38 divide 3 from both sides

Now you put x back into the measurments

angle 1= (x+66) angle 2= 2x

(38+66) 2×38

angle 1= 104 angle 2= 76

Or after you know angle 1 you can subtract angle 1 from 180 to get angle 2.

5 0

3 years ago

Help please 50 points!

uranmaximum [27]

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

$\rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x$

to do so isolate -x to the left hand side and change its sign:

$\rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 }$

simplify addition:

$\rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 }$

square both sides:

$\rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2}$

simplify square of the right hand side:

$\rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1$

use (a-b)²=a²-2ab+b² to expand the left hand side:

$\rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1$

swap the equation:

$\rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25$

isolate the right hand side expression to the left hand side and change every sign:

$\rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0$

simplify:

$\rm\displaystyle {x}^{2} + 11x - 26= 0$

rewrite the middle term as 13x-2x:

$\rm\displaystyle {x}^{2} + 13x - 2x - 26= 0$

factor out x:

$\rm\displaystyle x({x}^{} + 13)- 2x - 26= 0$

factor out -2:

$\rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0$

group:

$\rm\displaystyle (x- 2)(x + 13)= 0$

by <em>Zero</em><em> </em><em>product</em><em> </em><em>property</em> we obtain:

$\displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}$

solve for x:

$\displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}$

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

$\rm\displaystyle 5 - x \geq0$

solve the inequality for x:

$\rm\displaystyle x \leqslant 5$

since 2 and -13 is less than 5 both solutions are valid for x hence,

$\displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}$

and we're done!

4 0

3 years ago

Read 2 more answers

The actual length of Lake Superior is 350 miles and the width is 160 miles. What's the length and width of the lake on a map if

pentagon [3]

The correct option is: B. length: 14 cm, width: 6.4 cm

<em><u>Explanation</u></em>

The actual length of Lake Superior is 350 miles and the width is 160 miles.

The scale is given as: 1 cm = 25 miles

Suppose, the length and width of the lake on the map are $x$ cm and $y$ cm respectively.

First, the equation according to the <u>ratio of scaled length to the actual length</u> will be....

$\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14$

Now, the equation according to the <u>ratio of scaled width to the actual width</u> will be....

$\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4$

Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.

7 0

3 years ago

Original Equation:<br> 4+ (4 + x) = 3<br> First Step:<br> (4 + 4) + x = 3

stich3 [128]

Step-by-step explanation:

(4+4)+x=3

8+x=3

x=3-8

x= -5

7 0

3 years ago

Read 2 more answers