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Vlad [161]
3 years ago
8

Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

x = y + 1 --- Equation 1

From the question; we have that

\frac{4x}{7} = \frac{y}{2} + 5 --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5

2 * 4x = 7 * y + 70

8x = 7y + 70 ---- Equation 3

Substitute y + 1 for x in equation 2

8(y + 1) = 7y + 70

Open bracket

8y + 8 = 7y + 70

Collect like terms

8y - 7y = 70 - 8

y = 62

x = y + 1

So,

x = 62 + 1

x = 63

Hence, the consecutive numbers are 62 and 63

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Answer:

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Step-by-step explanation:

5 0
3 years ago
Please help really need to pass
VashaNatasha [74]
First add 5 to right side
\frac{x}{7} = -4+5 = 1
Next , to cancel the 7, you need to multiply by 7 on both sides
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8 0
3 years ago
2. You spin a spinner that has eight equal-sized sections numbered one to eight. Which event is
hodyreva [135]

Answer:

Getting a multiple of 5 is the least likely outcome.

Step-by-step explanation:

We spin a spinner that has 8 equal-sized sections numbered 1 - 8.

We have to find which is the least likely to occur.

The number is even when outcomes are 2,4,6 or 8.

Number of outcomes = 4

If the number is less than 3, the number of possible outcomes are 2 that is 1 and 2.

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If the number is a multiple of 5, only 1 outcome is there which is 5 itself.

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Answer:

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Step-by-step explanation:

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Answer:

(0, 1)

Step-by-step explanation:

<u>Step 1:  Determine the y-intercept</u>

Using the slope intercept form, we know that the equation is y = mx + b where m is the slope and b is the y-intercept.  Therefore, looking at our equation, we can tell that b is 1 therefore the y-intercept is (0, 1)

Answer: (0, 1)

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