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Triss [41]
3 years ago
11

Three less than eight times the number is equal to half of 16 times the number after it was increased by one

Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

1) The question is aimed to determine the number that Laura is trying to come up with.

Such question is solved by stating an algebraic equation from the word statement, which is done step by step.

2) Using the name x for the unknown, the expression "three less than 8 times the number" is translated to: 8x - 3

3) The expression "half of 16 times the number after it was increased by 1" is translated to: (1/2) (16x + 1)

4) Finally, since they are equal, you can set the equation:

8x - 3 =  (1/2) (16x + 1)

5) And solve for x in this way:

i) Distributive property:

8x - 3 = 8x + 1/2

ii) At this stage you can see that the both 8x terms (on the left and on the right) cancel each other, which leads to the impossibility to determine the value of the unknown:

-3 = 1/2 which is alwasy false, meaning that the equation has no solution.

Read more on Brainly.com - brainly.com/question/10888245#readmore

Step-by-step explanation:

hope it help

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If 30% of John's photographs were perfect, but 210 photographs were not perfect, then how many photographs were there in all?
anyanavicka [17]
If 30% were perfect, 70% were not perfect.  So we know that 70% of the total number of photographs is 210.

p(70/100)=210  multiply both sides by 100

70p=21000  divide both sides by 70

p=300

So there are 300 photographs in all.
3 0
3 years ago
In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.What is the lar
djverab [1.8K]

Answer:

32

Step-by-step explanation:

n(G or F) = n(G) + n(F) - n(G and F)

Total will be the greatest when the intersection is empty

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6 0
3 years ago
Triple the sum of x and 5
Kamila [148]

Answer:

The expression becomes 3(x+5) = 3x+15

3 0
2 years ago
A farmer uses a lever to move a large rock. The force required to move the rock varies inversely with the distance from the pivo
zaharov [31]

Answer:f=1800/d Inverse proportion function. Provided f is in pounds & d is in inches.

Step-by-step explanation: the relationship between f & d is inverse proportion.

A constant k has to be derived from the relationship.

If f is inversely proportional to d then f=k(1/d)

K= f X d

= 50 X 36

=> constant K=1800.

8 0
3 years ago
Suppose the sequence {an} is arithmetic with a3 = 15, d = -3/2, and an=6 <br> Find n.
EastWind [94]

Answer:

The value of n = 9th term

Step-by-step explanation:

Given:

In an arithmetic series

a3 = 15

d = -3/2

an = 6

Find:

The value of n

Computation:

In an arithmetic series

An = a + [n - 1]d

where,

An = last term

a = first term

n = number of term

d = common difference

So,

a3 = a + 2d

15 = a + 2(-3/2)

15 = a - 3

a = 18

An = a + [n - 1]d

6 = 18 + [n - 1][-3/2]

-12 = [n-1][-3/2]

8 = n - 1

The value of n = 9th term

7 0
3 years ago
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