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Eddi Din [679]
2 years ago
11

forty-seven marbles are shared between some children. each child receives six marbles and there are five marbles left over. how

many children share the marbles?
Mathematics
1 answer:
Nadya [2.5K]2 years ago
6 0

The total number of children can be calculated using linear equation in one variable. The marbles are shared among 7children.

<u>Solution</u>

Total number of marbles = 47

The number of marbles received by each child = 6

Let the number of children be x

Then according to the question'

Total number of marbles received by all children + 5 = Total number of marbles

6x + 5 = 47

6x = 47- 5

6x = 42

x = 7

now, the number of children is 7.

<h3>What is linear equation in one variable?</h3>
  • An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
  • A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
  • Here, the variables x and y, the coefficients A and B, and the constant C are all present.
  • A linear equation's graph will always be a straight line.
  • One-variable linear equations are fairly simple to solve. To determine the value of the unknown variable, the variables are divided and placed on one side of the equation, and the constants are combined and placed on the other side.

Know more about linear equation brainly.com/question/12974594

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Answer:

y=-3/5(x+5)+4

Step-by-step explanation:

y=m(x-h)+k

y=-3/5(x+5)+4

5 0
3 years ago
Eight friends share 4 bunches of grapes equally. What fraction of a bunch of grapes does each friend get?
AURORKA [14]
1/2 a bunch because 8 divided by 4 = 1/2 :)
4 0
3 years ago
I need help this is hard please help me
Mademuasel [1]

Answer:

P(t)=25000+1.12t

Step-by-step explanation:

Now can you help me?

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

f(t) = −16t2 + 16t + 32

Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

3 0
3 years ago
Read 2 more answers
Short sleeve t-shirts cost $10 and long sleeve t-shirts cost $15. If the t-shirt shop made $485 selling 38 total t-shirts, how m
BartSMP [9]

Answer:

The t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Step-by-step explanation:

To solve this problem, we should create a system of equations.  Let's let short sleeve t-shirts be represented by the variable s and long sleeve t-shirts be represented by the variable l.  

We know that the shop sold 38 total shirts, or in other words, the amount of long sleeve and short sleeve shirts combined is 38.  If we write this as an equation, we get: s + l = 38.

We can make another equation with the prices of the shirts.  If we take each type of shirt and multiply each price by the number sold and add them together, we should get the shop's total profits.  Represented as an equation, this is: 10s + 15l = 485.

Now that we have two equations, we should try to solve the system.  In this case, it is easiest to use substitution, so we are going to rewrite the first equation in terms of one variable.

s + l = 38

s = 38 - l

If we substitute this equivalent value for the variable s into the second equation, we get:

10s + 15l = 485

10(38 - l) + 15l = 485

Now we have an equation that only has one variable, so we can simplify both sides and then isolate the variable.

380 - 10l + 15l = 485

380 + 5l = 485

5l = 105

l = 21

Now, we can substitute this value for l back into the first equation to solve for the variable s.

s + l = 38

s + 21 = 38

s = 17

Therefore, the t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Hope this helps!

5 0
3 years ago
A circle whose center is the origin passes through the point (-5,12). Which point also lies on this circle?
schepotkina [342]
The answer is B(11, 2sqrt(12) )
proof

the main equation of the circle is   (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center 
so if the center is the origin, it is O(0,0), and the equation becomes
<span>  (x)²+(y)²=R²
</span>and the circle passes through the point (-5,2) so we can write 
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13

and  for <span>B(11, 2sqrt(12) )     </span>11²+  (2sqrt(12))²= 121 + 48= 169= 13
it is checked.
3 0
3 years ago
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