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Vanyuwa [196]
3 years ago
12

1/3+1/3+1/3+1/3=4/3 is this answer correct?

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0
Yes but if you need it in mixed number form it’s 1 1/3
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Answer:

x = 9.8

Step-by-step explanation:

to find x, use pythagorean theorem

a^{2} = c^{2} - b^{2}

a^{2} = 14^{2}  - 10^{2}

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\sqrt{a^2} = \sqrt{96}

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Which fraction set is equivalent to 5/6 ÷ 7?
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HELP ME PLEASE. Anson borrows some money from a bank at a rate of 10% simple interest for 1 year. Jenny borrows $1000 more then
kondaur [170]
$5000 is the correct answer.

The formula for simple interest is I=prt.  Anson gets 10% interest; 10% = 10/100 = 0.1.  This gives us
I=p(0.1)(1) = 0.1p.

Jenny borrows 1000 more than Anson, so her principal is p+1000.  Her rate is 8%; 8%=8/100 = 0.08.  She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40

Together they earned 740:
0.1p+0.04p+40 = 740

Combine like terms:
0.14p+40 = 740

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6 0
3 years ago
Which equation represents a parabola opening to the right with a vertex at the origin and focus at (9,0) A. X = - 1/36y^2 B. X =
Virty [35]

Answer:

Option C: x = (1/36)*y^2

Step-by-step explanation:

A horizontal parabola is written as

x = f(y) =  a*y^2 + b*y + c

If a is positive, the parabola opens to the right.

if a is negative, the parabola opens to the left.

And the vertex of the parabola has the y-value:

y = -b/2a

and the x value

x = f(-b/2a)

For our parabola, we know that:

Opens to the right:

Then the only options left are:

C) x = (1/36)*y^2

D) x = (1/6)*y^2

Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).

Now let's see wich one has a focus at (9, 0)

If the vertex of our equation is:

(h, k)

Then the focus will be:

(h + a, k)

Where a is the directrix of the equation.

Here we know that the vertex is (0, 0) and the focus is (9, 0)

Then:

(0 + a, 0) = (9, 0)

The directrix is 9.

And the directrix is such that:

(x - h)^2 = 4*a*(y - k)

Replacing the values of h and k (both are zero) we get:

x^2 = 4*a*y

And we know that: a = 9

x^2 = 4*9*y

x^2 = 36*y

if we isolate y, we get:

(1/36)*x^2 = y

This is option C.

Then the correct option is C.  

8 0
2 years ago
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