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marishachu [46]
3 years ago
6

214

Mathematics
1 answer:
eimsori [14]3 years ago
7 0

Answer:

s=13

Step-by-step explanation:

You might be interested in
If you add Natalie’s age and Fred’s age, the result is 41. If you add Fred’s age to 3 times Natalie’s age, the result is 67. Fin
JulsSmile [24]

Answer:

Natalie is 13 years old, while Fred is 28 years old.

Step-by-step explanation:

Given that if you add Natalie’s age and Fred’s age, the result is 41, and if you add Fred’s age to 3 times Natalie’s age, the result is 67, to find how old Fred and Natalie are, the following calculation must be performed:

N + F = 41

3N + F = 67

(67 - 41) / 2 = N

26/2 = N

13 = N

13 x 3 + F = 67

39 + F = 67

F = 67 - 39

F = 28

28 + 13 = 41

Therefore, Natalie is 13 years old, while Fred is 28 years old.

4 0
2 years ago
Find the center and radius of circle and graph it <br><br> <img src="https://tex.z-dn.net/?f=%28x-4%29%5E%7B2%7D%20%2B%28%20y%20
sergeinik [125]

Answer:

centre = (4,-2)

radius = 3

Step-by-step explanation:

The centre-radius form of the circle equation is in the format

(x – h)² + (y – k)² = r²,

with the centre being at the point (h, k) and the radius being "r"

Given in the question an expression which can be write as

<h3> (x – 4)² + (y – (-2))² = 3²</h3>

So, by translating we can say that

centre = (4,-2)

and

radius = 3

 

3 0
3 years ago
An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different ti
Simora [160]

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

Hence,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train =  (E)

A Westbound train =  (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400  

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

8 0
3 years ago
-13 times the difference between a number and 60 is equal to the number plus -59
kipiarov [429]
Let n represent the number.
  -13×(n -60) = n +(-59)
  -13n +780 = n -59
  839 = 14n
  839/14 = n = 59 13/14

The number is 59 13/14.

_____
Check
  The difference between the number and 60 is
    59 13/14 -60 = -1/14
  -13 times that value is
    -13*(-1/14) = 13/14
  Compare that to the number plus -59
    59 13/14 -59 = 13/14 . . . . . the same value, as required.
8 0
3 years ago
What is 15%of8700 please give the right answer
posledela
15% becomes 0.15
multiply it by 8700
0.15x8700=1305
7 0
2 years ago
Read 2 more answers
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