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r-ruslan [8.4K]
3 years ago
12

3 more than one-half of a number is 10. What is the number?

Mathematics
2 answers:
melisa1 [442]3 years ago
8 0

Answer:

14

Step-by-step explanation:

You solve this problem by subtracting 3 from 10 because you have to solve it inversely. After doing this you get 7. Since that is 1/2 a number the number is 14

Pani-rosa [81]3 years ago
3 0

Answer:

14

Step-by-step explanation:

Let's call the number x.

\dfrac{x}{2}+3=10

Subtract 3 from both sides:

\dfrac{x}{2}=7

Multiply both sides by 2:

x=14

Hope this helps!

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Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm
andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

4 0
2 years ago
What is the value of the expression 5b+3c-20+3b-15c+4 when b= 2 and c= -3
Molodets [167]

Answer: 36

Step-by-step explanation:

5(2)+3(-3)-20+3(2)-15(-3)+4

10-9-20+6+45+4

-19+55

36

3 0
3 years ago
\A and \B are supplementary angles. If m\A= (3x – 23) and m
mrs_skeptik [129]

2 supplementary angles when added together need to equal 180 degrees.

Add:

3x-23 + 2x-12 = 180

Simplify:

5x -35 = 180

Add 35 to both sides:

5x = 215

Divide both sides by 5:

X = 43

Now replace x with 43 in the equation for angle b:

2(43) -12 = 86-12 = 74 degrees

Angle B = 74 degrees

5 0
3 years ago
The shoes that Sofia wanted to buy at the mall were marked down from $30 to $24. What is the percentage of discount?
Nataliya [291]
30-24=6
6/30=1/5 aka 20%

The answer is 20%

Hope this helps.
8 0
3 years ago
The swimming pool is opening hours a day the pool manager must divide pool time equally among five groups camp; camp swim team,
ale4655 [162]

Answer:

1.6 hours

Step-by-step explanation:

Number of opening hours a day = 8

Number of groups = 5

Dividing the number of opening. Hours equally among the 5 groups :

8 hours / 5

= 1.6 hours per group per day

4 0
3 years ago
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