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Paul [167]
2 years ago
10

When a number is increased by 2.5%, the result is 51. What is the original number to the nearest tenth?

Mathematics
1 answer:
labwork [276]2 years ago
7 0

Answer:

49.8

Step-by-step explanation:

Number - x

2.5% of the number is 0.025x.

New number is  x+0.025x = 1.025x.

New number is 51.

1.025x = 51

x = 51/1.025≈ 49.8

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Tia and Ken sold snack bars and magazine subscriptions for the school fundraiser. Tia sold 16 snack bars and 4 magazine subscrip
Aliun [14]

Answer:

The value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Step-by-step explanation:

We have a system of two equations and two unknowns, which would be the following:

let "x" be the cost of the snack bar

Let "y" be the cost of the magazine subscription

16 * x + 4 * y = 132

20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6

replacing:

16 * x + 4 * (190 - 20 * x) / 6 = 132

16 * x + 126.66 - 13.33 * x = 132

2.66 * x = 132 - 126.66

x = 5.34 / 2.66

x = 2

for "y":

y = (190 - 20 * 2) / 6

y = 25

Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $

6 0
3 years ago
The average age of staff in the maths department is 40.
pashok25 [27]

Answer:

Cerian is 28 years old

Step-by-step explanation:

The given parameters are;

The average age of the staffs in the mathematics department = 40

The number of staffs in the department = 7

The average age of Jill, Nicky and Wendy = 41

The average age of Andy, Alan and Cathy = 43

From the given parameters, we have;

The average age of the staffs in the mathematics department = (The sum total of the ages of the members of the math department)/(The number of staffs in the department)

Therefore;

40 = (The sum total of the ages of the members of the math department)/ (7)

From which we have;

The sum total of the ages of the members of the math department = 40 × 7 = 280

Which gives;

Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age = 280 years

The average age of Jill, Nicky and Wendy = 41

Given that Jill, Nicky, and Wendy make up 3 of the 7 members of staffs, we have;

The average age of Jill, Nicky and Wendy = (The sum total of the ages of Jill, Nicky, and Wendy)/(The number of staff Jill, Nicky, and Wendt make)

Therefore;

The sum total of the ages of Jill, Nicky, and Wendy = 41 × 3 = 123

Which gives;

Jill's age + Nicky's age + Wendy's age = 123 years

Similarly, the sum total of the ages of Andy, Alan, and Cathy = 43 × 3 = 129

Which gives;

Andy's age + Alan's age + Cathy's age = 129 years

Therefore;

Cerian's age = (Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age) - (Jill's age + Nicky's age + Wendy's age) + (Andy's age + Alan's age + Cathy's age)

∴ Cerian's age = 280 years - 123 years - 129 years = 28 years

6 0
3 years ago
I have a few questions!<br> a) x−1.27=4.09<br> b) 2.3−y=2.301<br> c) t+3.04=14.3<br> d) 1.1+k=5.67
maks197457 [2]

Answer:

a.)  x = 5.36

b.)  y = - 0.001

c.)  t =  11.26

d.)  k =  4.57

Step-by-step explanation:

a) x−1.27=4.09

b) 2.3−y=2.301

c) t+3.04=14.3

d) 1.1+k=5.67

Solving. right?

a.)  x = 4.09 + 1.27 = 5.36

b.)  y = 2.3 - 2.301 = - 0.001

c.)  t = 14.3 - 3.04 =  11.26

d.)  k = 5.67 - 1.1  =  4.57

5 0
2 years ago
Find the distance between <br><br> (4,3) and (0,3).<br> A) 10 <br> B) 2 <br> C) 2<br> 13<br> D) 4
Daniel [21]

Answer:

D

Step-by-step explanation:

4 units

4 0
3 years ago
What is the distance between each pair of numbers?
Hunter-Best [27]

One is a, and the other is just A.

Please give brainliest. Thanks!

5 0
2 years ago
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