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Kobotan [32]
3 years ago
13

The sum of a number and three is less than twelve​

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

The equation is    x+3<12  

The answer is       x<9

Step-by-step explanation:

(The sum of a number = x) (and = +) (three is less than twelve = 3<12)

This means the equation is x+3<12, so then you subtract 3 from both sides and end up with x<9

Hope this helps :)

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Mumz [18]

Joanna bought 7 notebooks and 14 pencils

Step-by-step explanation:

Step 1 :

Let x denote the number of notebooks and y denote the number of pencils Joanna bought.

Cost of one notebook = $ 2.30

Cost of one pencil = $1.42

Step 2 :

Total of notebooks and pencils bought  = 21

=> x + y = 21 => y = 21-x

Total cost of notebooks and pencils = $35.98

=> 2.3x + 1.42y = 35.98

Substituting y = 21- x here , we have,

2.3x + 1.42 ( 21-x) = 35.98

2.3x + 29.82 - 1.42x = 35.98

0.88 x = 6.16

=> x = 7

y = 21-x = 21-7 = 14

Step 3 :

Answer :

Joanna bought 7 notebooks and 14 pencils

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3 years ago
Morgan has an 8-foot board that must be cut into boards that are feet long. How many of the smaller boards can he get from the 8
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Just multiply all the eights
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Answer

a. f(x) = −2|x| + 1

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2 years ago
Derive the equation of the parabola with a focus at (3,1) and a directrix of y = 5
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because the parabola opens downwards, "p" is negative, and thus, -2

now, let's plug all those fellows in then

\bf \begin{array}{llll}&#10;(x-{{ h}})^2=4{{ p}}(y-{{ k}})\\&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;&#10;\begin{cases}&#10;h=3\\&#10;k=3\\&#10;p=-2&#10;\end{cases}\implies (x-3)^2=4(-2)(y-3)\implies (x-3)^2=-8(y-3)&#10;\\\\\\&#10;-\cfrac{(x-3)^2}{8}=y-3\implies \boxed{-\cfrac{1}{8}(x-3)^2+3=y}

5 0
3 years ago
In an orchard, there are 17 apple trees, 28 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
Stella [2.4K]

Answer:

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Step-by-step explanation:

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