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Marysya12 [62]
3 years ago
8

Which of the following is equal to the fraction below ? (5/9) ^ 8 A. A. 8(5/9) (5 ^ 8)/(9 ^ 8) B. (5 ^ 8)/9 5/(9 ^ 8)

Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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A student answered 86 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the p
balu736 [363]

Answer:

88 problems

Step-by-step explanation:

Set this problem up as fractions

86/x = 98/100

Cross multiply

86 × 100 = x × 98

8600 = 98x

Divide both sides by 98

87.75... = x

Round to nearest whole number

87.75 rounds up to 88

88 problems

7 0
3 years ago
Please help I’ll give brainlyest
GrogVix [38]

Answer:

80m^3

Step-by-step explanation:

Here,
For the base of pyramid which is a rectangle,
length(a) = 8m
breadth(c) = 5m
For the pyramid,
actual height (h) = 6m
Now,
The formula for the Volume of a rectangular based pyramid is,
1/3 * Area of base rectangle * height
= 1/3 * (a*c) * 6 [ Because area of rectangle is product of its two sides, length and breadth]
= 2 * 8 * 5
80m^3

6 0
2 years ago
Write 0.000000364 in standard form
Thepotemich [5.8K]

Answer:

yes

Step-by-step explanation:

this number is a decimal

5 0
3 years ago
A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th
Temka [501]
The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down  "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&100&b-c&5\\
downstream&100&b+c&2
\end{array}
\\\\\\
\begin{cases}
100=(b-c)5\\
\qquad \frac{100}{5}=b-c\\
\qquad 20=b-c\\
\qquad 20+c=\boxed{b}\\
100=(b+c)2\\
\qquad 50=b+c\\
\qquad 50=\boxed{20+c}+c
\end{cases}

solve for "c", to see what's the current's speed

what's "b"?  well 20+c = b
4 0
3 years ago
A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library
Zielflug [23.3K]

There approximately 7133 books in the library;

Data;

  • Let the number of total books = x
  • Number of fictional books = 3/4x

<h3>Word Problem</h3>

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

\frac{3x}{4} + 592 = \frac{5}{6}x

Let collect like terms and solve

\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53

There approximately 7133 books in the library;

Learn more on word problems here;

brainly.com/question/13818690

4 0
2 years ago
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