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mariarad [96]
3 years ago
15

The sum of 10 and one third of a number is equal to 13 what is the number

Mathematics
1 answer:
kherson [118]3 years ago
4 0

the answer is 9.


10+x=13

subtract 10 from both sides.

x=3

since this is one third of the number we need to find,you do reverse operations.

multiply 3 by 3.

the answer is 9.

hope this helped. god bless. :D

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- Olivia skates twice as far as Stephanie. This sum of their distances is 96 miles per month. How many
kotegsom [21]

Answer:

B.64 miles

Step-by-step explanation:

Let Oliver's be x

Let Stephanie's be y

x = 2y -  -  - (a) \\ x + y = 96 -  -  - (b)

substitute for x in (b):

2y + y = 96 \\ 3y = 96 \\ y = 32

find x in (a):

x = (2 \times 32) \\ x = 64

5 0
3 years ago
Read 2 more answers
Which equations may be used to determine the 3 consecutive integers whose sum is 127?
s344n2d4d5 [400]

Answer:

a and b.

Step-by-step explanation:

I’ll explain by giving an example.

Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.

=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.

b) n+(n+1)+(n+2)= 3+4+5=12=> correct.

c)n+2n+3n=3+6+9=18=>incorrect.

d)3n=3*3=9=>incorrect.

7 0
2 years ago
In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal
OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0
2 years ago
Match all of the description to the term (Match all of the letters with the numbers).
Gnom [1K]
1. archaic

2. evangelists


3. Norman’s


4. John Wycliffe


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6 0
3 years ago
What is the radius and diameter of 7
Aleks04 [339]
<h3>Answer:</h3>

The radius would be <em>3.5 units</em>.

Step-by-step explanation:

This is because a radius is always half of a diameter.

By using that,

7 ÷ 2 = 3.5 units

Since there was no measurement listed in the question, the answer would be in "units."

8 0
3 years ago
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