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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

#SPJ4

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harkovskaia [24]

Answer:

Down the left-hand column, the pattern is counting by 5's. Therefore, 5, 10, 15, 20, 25. Down the right-hand column, the pattern is counting by 4's. Therefore, 4, 8, 12, 16, 20. Thus, the ratios are:

5:4

10:8

15:12

20:16

25:20

In other words, the first line (5:4) is the base ratio. The second line multiplies the original values by 2, the third line by 3, the fourth line by 4, and the fifth line by 5.

6 0
4 years ago
Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2
guajiro [1.7K]

Answer:

a.) Average life of a refrigerator

b.) 0.1151

c.) 0.0548

d.) 0.6472225

Step-by-step explanation:

Given that :

Average life before replacement, mean, m = 14 years

Standard deviation, σ = 2 years

A.)

The random variable is the variable which is being measured.

B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?

Fewer than 11 years, P(x < 11)

We need to obtain the Z probability, at P(Z < 11)

The Zscore = (x - mean) / standard deviation

Zscore = (11 - 14) / 2.5 = - 1.2

P(Z < - 1.2) = 0.1151

C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?

More than 18 years, P(x > 18)

We need to obtain the Z probability, at P(Z > 18)

The Zscore = (x - mean) / standard deviation

Zscore = (18 - 14) / 2.5 = 1.6

P(Z > 1.6) = 0.0548

D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?

P(x < 8)

The Zscore = (x - mean) / standard deviation

Zscore = (8 - 14) / 2.5 = - 2.4

P(Z < - 2.4) = 0.0081975

P(x < 15)

The Zscore = (x - mean) / standard deviation

Zscore = (15 - 14) / 2.5 = 0.4

P(Z < 0.4) = 0.65542

P(Z < 0.4) - P(Z < - 2.4)

0.65542 - 0.0081975 = 0.6472225

5 0
3 years ago
When the points below are connected, they will form triangle ABC. Show and state whether this triangle has a right angle or not.
cluponka [151]

Answer:

See explanartions below

Step-by-step explanation:

Given the coordinates A(-6,3) B(0,5) C(2,-1)

We first need to get the slope of AB, BC and AC

For AB;

A(-6,3) B(0,5)

Mab = 5-3/0-(-6)

Mab = 2/6

Mab = 1/3

For BC;

B(0,5) C(2,-1)

Mbc = -1-5/2-0

Mbc = -6/2

Mc = -3

For AC:

A(-6,3) C(2,-1)

Mac = -1-3/2-(-6)

MAc = -4/8

Mac = -1/2

Taking the product of Mab and Mbc

Mab * Mbc = 1/3 + -3

Mab * Mbc = -1

<em>Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees</em>

8 0
3 years ago
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grigory [225]

Answer:

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Step-by-step explanation:

expected year end dividend = RM1.60

required return = 11%

dividend yield = 6%

growth rate = constant

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stock price in 7 years

= expected year end dividend / (required return rate - dividend yield rate )

= 1.6 * (1.06)^7  / ( 0.11 - 0.06 )

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Answer:popcorn that costs 210

Step-by-step explanation:

6 0
3 years ago
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