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abruzzese [7]
3 years ago
9

How can you rewrite the problem so that the divisor is a whole number? 0.21 divided by 17.66

Mathematics
1 answer:
Leona [35]3 years ago
4 0

Answer: 21 divided by 1766

Step-by-step explanation:

just try to remove the decimal points which mean 0.21 to 21 and 17.66 to 1766

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The U.S census bureau reported that 9 out of every 20 joggers at female. On a trail there were 230 joggers on July 4. Approximat
hodyreva [135]

Answer:

Approximately 104 joggers are female

Step-by-step explanation:

The U.S census bureau reported that 9 out of every 20 joggers at female.

Let x be the number of females out of 230 joggers.

Rewrite it as

\begin{array}{cc}\text{Female}&\text{All joggers}\\9&20\\x&230\end{array}

Now we can write a proportion:

\dfrac{9}{x}=\dfrac{20}{230}

Cross multiply:

20x=9\cdot 230\\ \\2x=9\cdot 23\ [\text{Divided by 10}]\\ \\x=\dfrac{9\cdot 23}{2}=\dfrac{207}{2}=103.5\approx 104

7 0
3 years ago
If the interest is compounded continuously, what interest rate do you need for a 5000 investment to double in 10 years
velikii [3]

Answer:

rate = natural log (Total / Principal) / Years

We need 5,000 to become 10,000 in 10 years so,

rate = natural log (Total / Principal) / Years

rate = natural log(10,000 / 5,000) / 10

rate = natural log(2) / 10

rate = 0.69314718056 / 10

rate = .069314718056 which equals

rate = 6.9314718056 per cent

Source: https://www.1728.org/rate2.htm

(scroll to the bottom)

Step-by-step explanation:

5 0
3 years ago
The formula for the circumference C of a circle with radius r is C = 2πr. Which of the following is a formula for π (pi) of the
sweet [91]
<span>the answer: the main condition can be found one of the following given methods: if A = B*C*D, if we want to find the value of B, so B = A /C*D, the similar method can be applied to find the value of C an D. These are C= A/ B*D and D = A /C*B in our case we have C = 2*Pi* R, if we want to find the value of Pi, it is Pi = C / 2*R the true answer is D</span>
6 0
3 years ago
Read 2 more answers
Rewrite as y−k=a(x−h)2 or x−h=a(y−k)2. Find the vertex, focus, and directrix.<br> y−3=(2−x)^2
Talja [164]

Given:

The given equation is

y-3=(2-x)^2

To find:

The vertex, focus, and directrix.

Solution:

The equation of a parabola is

y-k=a(x-h)^2     ...(i)

where, (h,k) is vertex, \left(h,k+\dfrac{1}{4a}\right) and directrix is y=k-\dfrac{1}{4a}

We have,

y-3=(2-x)^2

It can be written as

y-3=(-(x-2))^2

y-3=(x-2)^2    ...(ii)

On comparing (i) and (ii), we get

h=2,k=3,a=1

Vertex of the parabola is (2,3).

Focus=\left(2,3+\dfrac{1}{4(1)}\right)

Focus=\left(2,3+\dfrac{1}{4}\right)

Focus=\left(2,\dfrac{13}{4}\right)

Therefore, the focus of the parabola is \left(2,\dfrac{13}{4}\right).

Directrix of the parabola is

y=3-\dfrac{1}{4(1)}

y=3-\dfrac{1}{4}

y=\dfrac{11}{4}

Therefore, the directrix of the parabola is y=\dfrac{11}{4}.

4 0
3 years ago
Write a number that is greater than 8.604 but less than 8.643
AVprozaik [17]
An example of a number you're looking for is 8.625
4 0
4 years ago
Read 2 more answers
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