Answer: 24
Step-by-step explanation:
The ratio of sandcastles to kites was 3 to 5 so if 15 kites were spotted that meant that the 5 was multiplied by 3 so then we multiply the 3 by 3. Now there are 9 sandcastles and 15 kites so now we add 9 to 15 to figure out how many items were seen in all. Nine added to 15 equals 24 which means that 24 items were seen in total.
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,

...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.

Divide both sides by 6.


Put k=9.1 in (i).

Substitute A=260 in the above equation.

Divide both sides by 9.1.



Therefore, she need to work extra about 29 hours to earn an additional $260.
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.
A.) The value of n can be found by equating XY and XZ together,
XY = XZ
9n + 12 = 15n - 6
12 + 6 = 15n - 9n
18 = 6n
n = 3
Hence, the value of n is 3.
The length of different legs of the triangle is,
B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39
C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39
Hence, the length of the legs XY and YZ is equal to 39 units.
Learn more about Triangle:
brainly.com/question/2773823
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Answer:
6 and 10
Step-by-step explanation:
xy=60
2(x+y)=32
x+y=16
y=16-x
Substitute y into area equation
x(16-x)=60
16x-x^2=60
x^2-16x+60=0
(x-10)(x-6)=0
x=10, 6
y=6, 10
Answer:
C
Step-by-step explanation: