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3 years ago

Jordan wrote the following description. Three fewer than one fourth of x is 12. Write an equation to represent the description??

Mathematics

1 answer:

VMariaS [17]3 years ago

8 0

Answer:

1/4x - 3 = 12

Step-by-step explanation:

When it says "three fewer," it means subtract three from one fourth of x. "Is" always means the equal sign. Knowing this, we get the equation:

1/4x - 3 = 12

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kakasveta [241]

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Step-by-step explanation:

Multiply both sides of the equation by 2

3x-4=14

Add 4

3x=18

Divide by 3

x=6

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3 years ago

11x + 10y - 8x - 12y (a) x + -2y (b) 3x + 2y (c) -x + 2y (d) 3x + -2y

svetoff [14.1K]

Answer:

d) 3x+-2y

Step-by-step explanation:

combine like terms of x and y

11x-8x=3x

10x-12x=-2y

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3 years ago

You can mow one acre in 126 minutes. i can mow one acre in 117 minutes. how long will it take you to mow a 0.17-acre lawn? 13 in

Morgarella [4.7K]

a) (0.17 ac)×(126 min/ac) = 21.42 min

b) I can mow 1/126 ac/min; you can mow 1/117 ac/min. Together, we can mow at a rate that is the sum of these:

... (1/126 + 1/117) ac/min = (117 + 126)/(126×117) = 243/14,742 ac/min

Then it will take 14,742/243 min/ac × 0.17 ac/lawn ≈ 10.31 min/lawn

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2 years ago

et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe

Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation $f(x)=x+\lvert 2x-3 \rvert=12$ can be solved as follows:

$x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}$

$\lvert 2x-3 \rvert =12-x$

$2x-3=12-x\,\,\text{or}\,\,2x-3=-(12-x)$

$3x=15\,\,\text{or}\,\,\x=-9$

Then, the solutions of the equation are $x=5, x=-9$ .

Now, if $g(x)=5x-3+\lvert x+4\rvert$ , we can solve the equation $g(a)=4a+9$ as follows:

$5a-3+\lvert a+4 \rvert =4a+9$

$\lvert a+4\rvert =4a+9-5a+3$

$a+4 =-a+12\,\,\text{or}\,\,a+4=-(-a+12)$

$2a=8\,\,\text{or}\,\,4=12$

So, the unique solution of this last equation is $a=4$

The last equation is $h(x-1)=x-3$ , where $h(x)=\lvert x \rvert -2x+5.$ . To solve this equation we can proceed as follows:

$h(x-1)=x-3$

$\lvert x-1\rvert -2(x-1)+5=x-3$

$\lvert x-1 \rvert -2x+2+5=x-3$

$\lvert x-1\rvert =3x-10$

$x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)$

$-2x=-9\,\,\text{or}\,\,4x=11$

$x=9/2\,\,\text{or}\,\,x=11/4$

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

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2 years ago

A study was conducted to see if students given extra oxygen prior to taking the SAT could improve their scores. It was found tha

erik [133]

Answer:

Hypothesis testing of ' significance of difference between means'

Step-by-step explanation:

Study conducted to tests whether oxygen level prior SAT score improves test score. This can be done through - Hypothesis testing of ' significance of difference between means'.

Where x1 & x2 represent mean values of SAT test score before (or without) & after (or with) oxygen.

Null hypothesis [H0] = x1 = x2 , Alternate Hypothesis [H1] : x1 < x2

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3 years ago