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hoa [83]
3 years ago
5

Micah is three more than 5 times the age of his sister. If Micah is 18 years old, then what is the age of his sister? Identify t

he two operations, in their appropriate order, needed to solve this problem
Mathematics
1 answer:
Korolek [52]3 years ago
3 0

Answer:

His sister is 3 years old.

Step-by-step explanation:

Micah - M

Sister - S

M = 3 + 5S

18 = 3 + 5S

15 = 5S

3 = S

His sister is 3.

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Evaluate 2 3/7 × 1 3/7 ,give your answer as a mixed number in its simplest form​
svp [43]

Answer:

i guess 3 23/49

Step-by-step explanation:

8 0
3 years ago
73.8 is what percent of 90?<br> Please i need help asap!
ryzh [129]
82% if u searched up the answer it should tell u
5 0
2 years ago
HELP!!!
ella [17]

Answer:

120

Step-by-step explanation:

We are given that the function for the number of students enrolled in a new course is f(x) = 4^{x}-1.

It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.

We know that the average rate of change is given by,

A = \frac{f(x)-f(a)}{x-a},

where f(x)-f(a) is the change in the function as the input value (x-a) changes.

Now, the number of students enrolled at 4 = f(4) = f(x) = 4^{4}-1 = 255 and the number of students enrolled at 2 = f(2) = f(x) = 4^{2}-1 = 15

So, the average increase A=\frac{f(4)-f(2)}{4-2} = A=\frac{255-15}{4-2} = A=\frac{240}{2} = 120.

Hence, the average increase in the number of students enrolled is 120.

3 0
3 years ago
Find the center of a circle with the equation: x2 y2−32x−60y 1122=0 x 2 y 2 − 32 x − 60 y 1122 = 0
mixas84 [53]

The equation of a circle exists:

$(x-h)^2 + (y-k)^2 = r^2, where (h, k) be the center.

The center of the circle exists at (16, 30).

<h3>What is the equation of a circle?</h3>

Let, the equation of a circle exists:

$(x-h)^2 + (y-k)^2 = r^2, where (h, k) be the center.

We rewrite the equation and set them equal :

$(x-h)^2 + (y-k)^2 - r^2 = x^2+y^2- 32x - 60y +1122=0

$x^2 - 2hx + h^2 + y^2 - 2ky + k^2 - r^2 = x^2 + y^2 - 32x - 60y +1122 = 0

We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.

-2hx = -32x

h = -32/-2

⇒ h = 16.

-2ky = -60y

k = -60/-2

⇒ k = 30.

The center of the circle exists at (16, 30).

To learn more about center of the circle refer to:

brainly.com/question/10633821

#SPJ4

7 0
2 years ago
A person who is 6ft tall walks away from a streetlight. When the person is 15 feet away from the light, the tip of his shadow is
Citrus2011 [14]
We essentially have a ratio here:
\frac{shadow}{actual}

Since we know the ratio is going to stay constant at \frac{5}{6}, we can use this to find the height of the lamp along with the information that the total distance from the lamp to the tip of his shadow is 20:
\frac{5}{6}=\frac{20}{h}
5h=120
h=24
5 0
3 years ago
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