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igor_vitrenko [27]

3 years ago

8

jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. which expression can he use to figure out the

number of holes he will need to drill

2 answers:

MrRissso [65]3 years ago

8 0

Answer: 36 / 2 1/4

Step-by-step explanation:

From the question, we are informed that Jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. The expression that he can use to figure out the number of holes he will need to drill will be:

= 36 ÷ 2 1/4

From the expression we can then calculate the number of hours to drill. This will be:

= 36 / 2 1/4

= 36 / 9/4

= 36 × 4/9

= 16

He'll need to drill 16 holes

charle [14.2K]3 years ago

8 0

Answer:

18c

= 18(36)

= 648

Step-by-step explanation:

i hope this helps and im on edmentum

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If y varies directly as x, and y=6 as x=-1, find y for the x-value of 5

Tema [17]

Answer:

$y=-30$

Step-by-step explanation:

we are given

y varies directly as x

so, we can write equation as

$y=kx$

where

k is constant of proportionality

We have

at x=-1 , y=6

so, we can use it to find k

$6=k(-1)$

so, we get

$k=-6$

now, we can plug it back

$y=-6x$

now, we can plug x=5

and we get

$y=-6\times 5$

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6 0

3 years ago

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

<u>Let us assume that:</u>

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

<u>We can also write it as:</u>

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

<u>By quadratic formula:</u>

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago

If p, q are zeroes of polynomial f(x) =2x^2-7x+3,find the value of p^2+q^2

Elza [17]

Answer:

p^2 + q^2 = 22/9.

Step-by-step explanation:

For a quadratic function ax^2 + bx + c if the zeroes are A and B then

A + B = -b/a and AB = c/a.

2x^2 - 7x + 3

Now p and q are the zeroes of the above function so

p + q = 7/3 and pq = 3/2.

Now p^2 + q^2 = (p + q)^2 - 2pq

= (7/3)^2 - 2* 3/2

= 49/9 - 3

= 49/4 - 27/9

= 22/9.

4 0

2 years ago

480/X - 8 - 480/x = 3

Nataliya [291]

Answer:

i don't know its ans thank you

7 0

2 years ago

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Simplify square root of negative 48.

kvv77 [185]

We want to simplify √(-48).

Note that
i² = -1 by definition.
Therefore
$\sqrt{-48} = \sqrt{i^{2}.16.3} = \sqrt{i^{2}} \sqrt{16} \sqrt{3} =4i \sqrt{3}$

Answer: c. $4i \sqrt{3}$

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3 years ago