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rjkz [21]
2 years ago
14

Where to put this on the number line? ​

Mathematics
2 answers:
lawyer [7]2 years ago
8 0

Answer:

Step-by-step explanation:

add 9 to both sides.
then divide by 1.5

so p > 8

number your number line: 2,4,6,8,10

draw a circle at 8 and the line to the right since p>8

Nat2105 [25]2 years ago
5 0

Answer:

p > 8

label your number line from, say, 7 to 11

put an open dot on 7 and shade to the right

Step-by-step explanation:

1.5p - 9 > 3

add 9 to each side to get:

1.5p > 12

divide each side by 1.5

p > 12/1.5

p > 8

label your number line from, say, 7 to 11

put an open dot on 7 and shade to the right

solution is all values greater than 7

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The perimeter of the hallway is 10 4/10 meters what is the width in meters
Butoxors [25]
Considering that the hallway is rectangular in shape such that its perimeter is calculated by the equation, 
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Dividing both sides of the equation by 2,
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8 0
3 years ago
Melissa went to staples and bought a book for $5 and four erasers. write an equation to represent the amount of money in spent o
alukav5142 [94]
5 x $1 = $5
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5 0
3 years ago
The temperature in the late afternoon was -7.5° it dropped 5° by early evening and then dropped another 85° by midnight what was
dalvyx [7]

Step-by-step explanation:

i think you missed a decimal place for 8.5°

when temperatures drop it means minus

so

-7.5-5-8.5= -21°

6 0
3 years ago
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4
Dmitry [639]

Answer:

  • \boxed{\sf Standard-form :x + 4y -17=0 }\\

  • \boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

\longrightarrow x + 4y = 7\\

Firstly convert it into <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>c</em><em>e</em><em>p</em><em>t</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>m</u><u>x</u><u> </u><u>+</u><u> </u><u>x</u><u> </u>, as ;

\longrightarrow 4y = -x + 7  \\

\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\

On comparing it to <em>y</em><em> </em><em>=</em><em> </em><em>m</em><em>x</em><em> </em><em>+</em><em> </em><em>c</em><em> </em>, we have ,

\longrightarrow m =\dfrac{-1}{4}\\

\longrightarrow c =\dfrac{7}{4}\\

Now as we know that the <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>w</em><em>o</em><em> </em><em>p</em><em>a</em><em>r</em><em>a</em><em>l</em><em>l</em><em>e</em><em>l</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>s</em><em> </em><em>i</em><em>s</em><em> </em><em>s</em><em>a</em><em>m</em><em>e</em><em> </em>. Therefore the slope of the parallel line will be ,

\longrightarrow m_{||)}=\dfrac{-1}{4}\\

Now we may use <em>p</em><em>o</em><em>i</em><em>n</em><em>t</em><em> </em><em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line as ,

\longrightarrow y - y_1 = m(x-x_1) \\

On substituting the respective values ,

\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\

\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\

\longrightarrow 4(y -5 ) =-1(x +3) \\

\longrightarrow 4y -20 = - x -3 \\

\longrightarrow x + 4y -20+3=0\\

\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\

Again the equation can be rewritten as ,

\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\

\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5  \\

\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4}  \\

\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{  y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\

6 0
2 years ago
Write the formula to find the length of the rectangle and then solve.
Galina-37 [17]

Answer:

Formula-W=A/L

Legnth-17

Step-by-step explanation:

Using the formula to find width of a rectangle, (width= area divided by legnth), you get 17. You can check by multiplying 26 by 17 to get 442. Hope this helps (ノ◕ヮ◕)ノ*:・゚✧

8 0
3 years ago
Read 2 more answers
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