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geniusboy [140]
3 years ago
7

An amount of $180 is shared among three people in the ratio x: y: z.

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

$110 and $30

Step-by-step explanation:

To solve this, we need to know the total share which is,

4 + 11 + 3 = 18

Then, you need to know the fraction of the share over the total, such that

x = \frac{4}{18}

y =  \frac{11}{18}

z =  \frac{3}{18}

So if to find how much that'll be of the $180 for the largest and smallest share,

Largest:

\frac{11}{18}  \times 180 = 110

Smallest:

\frac{3}{18}  \times 180 = 30

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How too solve (2x-3y)(4x-y) by multiplying polynomials by polynomials
Alex777 [14]
(2x-3y) (4x-y)
Multiply the polynomials using distributive property.
(a+b)(c+d) = ac+ad + bc + bd
(2x-3y) (4x-y) = (2x) (4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
Apply plus/minus rule.
-(-a)=a and -(a)=-a
we get
=8x²-2xy-12xy+3y²
Add like terms
=8x²-14xy+3y²

Answer: 8x² - 14xy + 3y²
4 0
3 years ago
14k=84 solve the equation and check your solution ​
UNO [17]

Answer:

k = 6

Step-by-step explanation:

14k=84

k = 84/14

k = 6

to check the equation:

14k ..we found that k is 6, so replace k with 6

14(6)

84 ......checked.

5 0
2 years ago
Jim was offered a job as a computer programmer making 65K per year. Another company offered Jim a position earning $1,800 a week
steposvetlana [31]

Answer:

since second company salary, $93,600, is more than first company yearly salary of $65000

Second company pays more

Step-by-step explanation:

To check what job pays more we have to compare yearly salary of both the company offer.

_________________________________________________

Yearly salary from one company = 65k = 65000

Weekly salary from another company = $1800

there are 52 weeks in a year

to get yearly salary , we need to multiply weekly salary with 52.

Yearly salary from another company = Weekly salary*no of wees in a year

Yearly salary from another company = 52*$1800 = $93,600

since second company salary, $93,600, is more than first company yearly salary of $65000

Second company pays more

7 0
3 years ago
What has the sum of 20 but the difference is 8?
arlik [135]
X + y = 20---- 1
x - y = 8----- 2

From 1+2
2x = 28
x = 14
Substitute x in eq.2
14 -y = 8
y = 6

Ans : x= 14 , y= 6
6 0
3 years ago
What is the length of the segment with end points -3,4 and 5,4
Luda [366]

Answer:

8

Step-by-step explanation:

The distance or the length between two points can be computed using the formula:

d = \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}

X₁ = x-coordinate of first point

X₂ = x-coordinate of the second point

Y₁ = y-coordinate of first point

Y₂ = y-coordinate of the second point

When we right down the coordinates of a point, we always start with the X and then the Y.

(X,Y)

You have the following coordinates or points

Point 1: (-3,4)

Point 2: (5,4)

Based on that we have the following given:

X₁ = -3

X₂ = 5

Y₁ = 4

Y₂ = 4

Now we just fill in the formula:

d=\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}\\\\ =\sqrt{(5-(-3))^2+(4-4)^2}\\\\ =\sqrt{8^2 + 0^2}\\\\ =\sqrt{8^2} \\\\=8

7 0
3 years ago
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