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butalik [34]
3 years ago
7

Find all the numbers such that one-third of the number is at most five.

Mathematics
1 answer:
defon3 years ago
4 0
X=30
10=10
checking:
1/3(30)=1/2(30)-5
You might be interested in
One positive integer is 6 less than twice another. The sum of their squares is 680 . Find the integers.
NemiM [27]

Let's call the two numbers x and y. The first sentence, one is 6 less than twice another, translates to

x = 2y-6

We also know the sum of their squares:

x^2+y^2 = 680

So, we have the following system:

\begin{cases} x = 2y-6 \\ x^2+y^2 = 680 \end{cases}

We can use the expression for x in terms of y from the first equation to turn the second equation into something involving y alone:

x^2+y^2 = 680 \to (2y-6)^2+y^2 = 680

Expand the square:

5y^2-24y+36 = 680

Subtract 680 from both sides:

5y^2-24y-644 = 0

Using the quadratic equation

y_{1,2} = \cfrac{-b\pm\sqrt{b^2-4ac}}{2a}

we find the two solutions

y_1 = -\cfrac{46}{5},\quad y_2 = 14

Since we know that both numbers are integer we can only accept the second solution. It yields the following x value:

x = 2x-6\ \land\ y = 14 \implies x = 2\cdot 14 - 6 = 28-6=22


4 0
2 years ago
I’ll give points + brainalist for he correct answer (:
Sladkaya [172]

The diameter of a tire is the distance across the tire through the center. Since tires are circular, you can find the circumference of the tire from the diameter. The circumference represents the distance the tire travels when it makes one revolution. If you know the number of inches in a mile and the circumference, you can find the number of times the wheel turns per mile.

First, measure the diameter of the tire in inches.

Secondly, multiply the diameter by pi, which is approximately 3.1416, to find the tire circumference. For example, if the tire has a 20 inch diameter, multiply 20 by 3.1416 to get 62 inches.

Hope this helped

3 0
2 years ago
How do you solve this?
vagabundo [1.1K]
You would add up all of the sides by combining like terms. Let me know if you want the answers for it.
6 0
2 years ago
An animal shelter has 44 dogs and 54 cats. Then, 13 of these animals get placed in
Alex_Xolod [135]

Answer:

44+54= 98

98-13=85

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
`Geometry Question 1 thxx
Mrrafil [7]

Answer:

b) all interior angles are right angles

8 0
2 years ago
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