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Vlada [557]
2 years ago
5

Television viewers cast votes to decide the winners in different rounds of a singing competition. The number of votes cast in th

e final round was 4,387,465. The number of votes cast in each of four other rounds is compared with the number cast in the final round.
Round 4 votes: 4,387,465 x the fraction four tenths
Round 3 votes: 4,387,465 x the mixed number two and four fifths
Round 2 votes: 4,387,465 x the mixed number one and nine tenths
Round 1 votes: 4,387,465 x the mixed number three and five sixths

In which round was the number of votes cast closest to double the number of votes cast at the final round? (1 point)

Group of answer choices

A. Round 4

B. Round 3

C. Round 2

D. Round 1
Mathematics
2 answers:
Mashutka [201]2 years ago
8 0

Answer:

the answer is D Round 2 np

Gelneren [198K]2 years ago
8 0
The answer for this question is C. round 2
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Solve this inequality: j/4 – 8 < 4.
IRINA_888 [86]
<span>j/4 – 8 < 4
j/4 < 12
j <K 12(4)
j<48

answer is </span><span>C. j < 48 </span>
5 0
4 years ago
The sum of the diagonals of a rhombus is 5√2.
Alex
Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC
= \frac{1}{2} BD (AO + OC)
\frac{1}{2} BD \times AC

So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}
BD \times AC = 8
Now, AC + \: BD = 5 \sqrt{2}

Squaring both sides, we get
AC {}^{2} + BD {}^{2} + 2 AC.BD =50
AC {}^{2} + BD {}^{2} + 2 \times 8 = 50
AC {}^{2} + BD {}^{2} = 50 - 16
AC {}^{2} + BD {}^{2} = 34

In △AOB, we have
OA {}^{2} + OB {}^{2} =AB {}^{2}
( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}
\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}
AC {}^{2} + BD {}^{2} = 4 AB {}^{2}
34 = 4 AB {}^{2}

Square rooting both sides
\sqrt{34} = 2 AB
Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units.

Hope it helps!

7 0
3 years ago
Evaluate h(5t^{2})given that h(t)=17-11t
Gala2k [10]
h(t)=17-11t
h(5t^{2})=17-11(5t^{2})
h(5t^{2})=17-55t^{2}
5 0
4 years ago
You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?
Inga [223]
$1 = 3.70 rands

$450 is simply 450 times $1, so multiply the conversion equation above by 450 on both sides.

450 * $1 = 450 * 3.70 rands

$450 = 1665 rands
8 0
3 years ago
How do you find the interest of a car
lisabon 2012 [21]

Answer:

hese loans are called amortizing loans - which means that the mathematical whizzes at your bank have worked them out so that you pay a set amount each month and at the end of your loan term, you’ll have paid off both interest and principal.

You can use an interest calculator to work out how much interest you’re paying all up, or, if you’d rather do it by hand, here’s how:

1. Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12.

2. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

This gives you the amount of interest you pay the first month.

So for example, on a personal loan of $30,000 over a period of 6 years at 8.40% p.a. and making monthly repayments:

Because you’ve now begun to pay off your principal, to work out the interest you pay in the following months, you need to first calculate your new balance. So:

1. Minus the interest you just calculated from the amount you repaid. This gives you the amount that you have paid off the loan principal.

2. Take this amount away from the original principal to find the new balance of your loan.

To work out ongoing interest payments, the easiest way is to break it up into a table. So using the above example, your calculations might look like this:

Month Starting balance Repayment Interest paid Principal paid New balance

1 $30,000 $532 $210 $322 $29,678

2 $29,678 $532 $207.75 $324.25 $29,353.75

3 $29,353.75 $532 $205.48 $326.52 $29,027.23

4 $29,027.23 $532 $203.19 $328.81 $28,698.42

5 $28,698.42 $532 $200.89 $331.11 $28,367.31

8 0
4 years ago
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