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yawa3891 [41]
3 years ago
14

Perry currently has $180 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days w

ill they have the same amount of money?
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

12.857 days

Step-by-step explanation:

Since the number of days is passing the same for both Nick and Perry we can assign the unknown value (no. Of days) the same denotation of x

Therefore;

180 – 6x = 0 + 8x

180 = 8x + 6x

180 = 14x

X = 12.857

Learn More:

For more on calculating unknown values check out;

brainly.com/question/10578482

#LearnWithBrainly

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Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu
ziro4ka [17]
Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2  = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2  = 630

n(n + 1)  = 2*630

n(n + 1)  = 1260

n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0   or   n - 35 = 0

n = 0 - 36,   or  n = 0 + 35

n = -36, or 35

n can not be negative. 

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.
7 0
3 years ago
"if the standard deviation of a group of 20 scores is 15, what is the variance?"
DerKrebs [107]

We have been given that the standard deviation of a group of 20 scores is 15 and we are asked to find variance.

Since we know variance is square of standard deviation. In order to find out the variance of the given data we have to take the square of 15.

\text{ Variance}=\sigma^{2}\\
=15^{2}=225

Therefore, our variance is 225.


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3 years ago
A snow making machine priced at $1800 is on sale for 25% off. The sales tax rate is 6.25%. What is the sale price including tax?
morpeh [17]

Answer:

1434.375

Step-by-step explanation:

If you multiply 1,800 by 25% you get 1,350

you take 1,350 and add 6.25% because the 6.25% is the tax.

Then you will get 1434.37 or 1434.40

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3 years ago
Please help I dont understand
Anastasy [175]

Answer:

Angle 2=160

Angle 3=10

Step-by-step explanation:

The rhombus is made up of two isoceles triangle.

Angle 1 measures 160.

Since the triangle is a isoceles triangle, the opposite angles of the congruent sides is equal angles to each other.

So the reamaing angles in the top triangle are equal so we can use this equation

Remeber that triangle maximum degree it can hold is 180

160 + x + x = 180

160 + 2x = 180

2x = 20

x = 10

We have two congruent triangle side they share Three sides. SSS

This means the corresponding angle of Angle 1 is Angle 2.

Angle 2=Angle 1 by CPCTC.

Angle 2=160

Angle 3 corresponds with one of the remaining congruent angles so it measures

10.

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An overnight train left at 21 55 on a journey that took 9 h 18 mins. Given that the train departed on a Monday, find the day and
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