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yuradex [85]
1 year ago
7

How to write 2.31818 as a mixed fraction

Mathematics
1 answer:
Elenna [48]1 year ago
5 0

Answer:

2\frac{15909}{5000}

Step-by-step explanation:

To make 2.31818 into a fraction, you must first move it to the numerator and make 1 the denominator.

\frac{2.31818}{1}

And then you multiply it by 10,000 or you can say 10^5

\frac{2.31818}{1}*\frac{100000}{100000}

After you multiply you divide the numerator and denominator by 2.

\frac{231818/2}{100000/2}

And now this equals:

2\frac{15909}{5000}

Hope this helps!

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Cynthia ran 17.5 laps in 38.5 minutes if she ran each lap at the same pace how long did it take her to run one full lap
marishachu [46]

Answer:

2.2 minutes

Step-by-step explanation:

38.5 ÷ 17.5 = 2.2

4 0
1 year ago
Find the first, fourth, and eighth terms of the sequence. A(n) = –3 • 2^n–1
Sphinxa [80]
A(n) = –3 • 2⁽ⁿ⁻¹⁾

for n = 1 ,  A₁ = -3.(2)⁰ = -3
for n = 2 ,  A₂ = -3.(2)¹ = -6
for n = 3 ,  A₃ = -3.(2)² = -12
for n = 4 ,  A₄ = -3.(2)³ = -24
...........................................
for n = 8 ,  A₈ = -3.(2)⁷ = -384


4 0
1 year ago
A package of hamburgers contains 8 patties and costs $7.50. Part A.) Luna has to buy at least 16 packages for an upcoming picnic
Rus_ich [418]

Answer:

Part A) p\geq 128\ patties

Part B) She will spend more than \$142.50

Step-by-step explanation:

Let

p-----> the number of hamburger patties

Part A) Luna has to buy at least 16 packages for an upcoming picnic

p\geq 16*8

p\geq 128\ patties

Part B) Suppose she actually needs more than 150 hamburgers. How much will she spend?

Let

c---------> the total cost

step 1

Divide 150 hamburgers by 8 (a package of hamburgers)

so

\frac{150}{8} =18.75\ package

round to the nearest whole number

18.75=19\ package----> the minimum number of packages

step 2

c>19*\$7.50

c>\$142.50

7 0
2 years ago
Find the area of the part of the plane 5x + 4y + z = 20 that lies in the first octant.
BlackZzzverrR [31]
This part of the plane is a triangle. Call it \mathcal S. We can find the intercepts by setting two variables to 0 simultaneously; we'd find, for instance, that y=z=0 means 5x=20\implies x=4, so that (4, 0, 0) is one vertex of the triangle. Similarly, we'd find that (0, 5, 0) and (0, 0, 20) are the other two vertices.

Next, we can parameterize the surface by

\mathbf s(u,v)=\langle4(1-u)(1-v),5u(1-v),20v\rangle

so that the surface element is

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=20\sqrt{42}(1-v)\,\mathrm du\,\mathrm dv

Then the area of \mathcal S is given by the surface integral

\displaystyle\iint_{\mathcal S}\mathrm dS=20\sqrt{42}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-v)\,\mathrm dv\,\mathrm du
\displaystyle=20\sqrt{42}\int_{v=0}^{v=1}(1-v)\,\mathrm dv=10\sqrt{42}\approx64.8074
3 0
2 years ago
Titus is asked to prove hexagon FEDCBA is congruent to hexagon
Goshia [24]

Answer:

<u><em>(x, y) -------> ( - x , y - 10 )</em></u>

Step-by-step explanation:

Titus is not correct.

There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'

First transformation is Reflection over y-axis , then translation 10 units down.

The final formula is <em>( - x , y - 10 )</em>

5 0
1 year ago
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