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tangare [24]
3 years ago
5

Jun used x milliliters, or 90% percent, of his favorite bottle of hot sauce.

Mathematics
1 answer:
Verizon [17]3 years ago
4 0

Answer:

The volume of the full bottle of Jun's favorite hot sauce in ml is \frac{10x}{9}.

Step-by-step explanation:

Jun used x milliliters, or 90% percent, of his favorite bottle of hot sauce.

So, to find the volume of a full bottle of Jun's favorite hot sauce in milliliters, we can use the unitary method.

Then, 90% of the full bottle sauce is equal to x ml.

So, 1% of the full bottle sauce is equal to \frac{x}{90} ml.

Therefore, 100% of the full bottle sauce is equal to \frac{x}{90}\times 100 = \frac{10x}{9} ml.  

Therefore, the volume of the full bottle of Jun's favorite hot sauce in ml is \frac{10x}{9}. (Answer)

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Kruka [31]

Answer:

yes,this is a function

Step-by-step:

5 0
3 years ago
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If a= 5^99 x 2^98 and b= 5^72 x 4^38 show ab has 172 digits when written as a ordinary number
Nonamiya [84]

Step-by-step explanation:

ab

= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)

= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²

= 2¹⁷⁴ * 5¹⁷¹

= 2³ * (2¹⁷¹ * 5¹⁷¹).

The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.

And there is a 8 infront as 2³ = 8.

Hence altogether there are 171 + 1 = 172 digits.

5 0
3 years ago
Given: measure of arc ED = 50° m∠EDK = 80° Find: ∠DSK
svetoff [14.1K]

Answer:

75°

Step-by-step explanation:

∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...

∠ESK = ∠ESD + ∠DSK

you have ...

100° = 25° + ∠DSK . . . . fill in known values

75° = ∠DSK . . . . . . . . . . subtract 25°

_____

Regarding opposite angles of an inscribed quadrilateral

Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.

This is why we can say ∠ESK is the supplement of ∠EDK.

6 0
3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary).
Sergio [31]

Answer:

6.7 units

Step-by-step explanation:

The distance between two points can be found using the formula below:

\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2}  } }}

Thus, distance between (-1, 2) and (2, -4)

=  \sqrt{( - 4 - 2)^{2} +  { [2-(-1) ]}^{2}  }

=  \sqrt{ {( - 6)}^{2}  +   {(2 + 1)}^{2} }

=  \sqrt{36 + 9}

=  \sqrt{45}

= 6.7 units (nearest tenth)

Additional:

For a similar question on distance between points, do check out the following!

  • brainly.com/question/23274198

6 0
2 years ago
Write an exponential function in the form y=ab^x that goes through points (0,9) and (3, 576)
sineoko [7]

Answer:

An exponential function in the form y=9(4ˣ)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that exponential function

                  y = a bˣ ...(i)

The equation (i) passes through the point (0,9)

               9 = a (b )⁰ = a

             a =9

<u><em>Step(ii):-</em></u>

The equation (i) passes through the point (3,576)

            576 = 9(b)³

         ⇒    \frac{576}{9} = b^{3}

      ⇒     64 = b³

     ⇒     4³ = b³

             (4^{3} )^{\frac{1}{3} } = (b^{3} )^{\frac{1}{3} }

             b = 4

<u><em>Final answer:-</em></u>

An exponential function in the form y=abˣ

An exponential function in the form y=9(4ˣ)

<u><em></em></u>

<u><em>   </em></u>

6 0
2 years ago
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