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Y_Kistochka [10]
4 years ago
15

Katheryn gets paid $80,250 per year. How much is each one of her monthly paychecks? *

Mathematics
1 answer:
nikklg [1K]4 years ago
5 0

Answer:

$6,687.50

Step-by-step explanation:

80,250 = paycheck

12 = number of months in a year

80,250 ÷ 12 = 6,687.5

Answer: $6,687.50 is the amount of each of her monthly paychecks.

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The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator
WARRIOR [948]

Answer: 5n = 3d and 3n + 6 = 2d + 4

Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.  

We are to select the system of equations that could be used to solve the problem.  

Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:

n/d = 3/5

5n = 3d

<h3>and</h3>

(n+2)/(d+2) = 2/3

3(n+2) = 2(d+2)

3n + 6 = 2d + 4

Thus, the required system of equations is,

5n = 3d and 3n + 6 = 2d + 4

Brainliest pweaseee if the answer is clear and correct! <3 ~~~

3 0
2 years ago
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E. The captain then turns the boat 90° and travels
Serga [27]

Answer:

Step-by-step explanation:

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.

Displacement in vector form

= 28 cos43 i + 28sin43j

= 20.47 i + 19.1 j

The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E

Displacement

= 15 cos47 i - 15 sin47 j

= 10.22 i - 10.97 j

Total displacement

= 20.47 i + 19.1 j + 10.22 i - 10.97 j

= 30.69 i - 8.13 j

Magnitude of displacement

= 31.75 miles

Angle with east direction

TanФ = - 8.13 / 30.69

Ф = 15 degree  south of east.

3 0
3 years ago
If I have a floor that is 100 3/4 feet by 75 1/2 what is the area
Vlad [161]
The area, assuming is a rectangular floor, is their product.

so simply convert the mixed to improper and get their product.

\bf \stackrel{mixed}{100\frac{3}{4}}\implies \cfrac{100\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{403}{4}}&#10;\\\\\\&#10;\stackrel{mixed}{75\frac{1}{2}}\implies \cfrac{75\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{151}{2}}\\\\&#10;-------------------------------\\\\&#10;\cfrac{403}{4}\cdot \cfrac{151}{2}\implies \cfrac{403\cdot 151}{4\cdot 2}\implies \cfrac{60853}{8}\implies 7606\frac{5}{8}~ft^2
6 0
3 years ago
find the slope of the line that passes through the given two points state if the slope is positive, negative, zero or undefined|
Lilit [14]
I hope this helpss.

3 0
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Help me, the PDF file is posted below
andrew-mc [135]
It’s -5, always look at your rise and run, they will help!
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4 years ago
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