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3 years ago

The sum of two numbers is 59. The smaller number is 5 less than the larger number. What are the numbers?

Mathematics

2 answers:

zmey [24]3 years ago

7 0

Answer:

32, 27

Step-by-step explanation:

Call one number (the larger one) "x"

The other number (smaller one) is " x - 5"

As per the given information;

x + x - 5 = 59

Inverse operations;

x + x - 5 = 59

+5 +5

2x = 64

/2 /2

x = 32

Larger number= 32

Smaller numbers = x - 5 = 32 - 5 = 27

mezya [45]3 years ago

6 0

Answer:

The answer is 32 & 27 because they add up to 59 and 27 is 5 less than 32.

Step-by-step explanation:

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Round 8 5/6 to the nearest whole number

kiruha [24]

Answer:

Step-by-step explanation:

8 5/6

5/6 is close to 1 so it will round up

8+1 = 9

8 5/6 rounds to 9

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3 years ago

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Write an equation of a line parallel to line GH below in slope-intercept form that passes through the point (-5, 6).

Alexandra [31]

There are several information's of immense importance already given in the question. Based on those information's. the answer can be easily deduced.

We already know that
y = mx + b
Then
Slope for GH = (6 - 2)/(- 2 - 2)
= - 1
We already know that parallel lines have the same slope
Then
<span>6 = -1(5) +b
</span>6 = - 5 + b
b = 11
Then, the equation is
y = x + 11
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the last option or the fourth option.

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4 years ago

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Someone has conducted a study to see if there is increased risk of getting lung cancer if you work in a coal mine. In group 1, 3

AleksandrR [38]

Answer:

Sample relative risk is 10.

Step-by-step explanation:

We are given the following in the question:

Group 1 of coal miners: 30 out of 150 get lung cancer.

$\text{P(Lung cancer for coal miner)} = \dfrac{30}{150} = \dfrac{1}{5}$

Group 2 of non-coal miners: 5 out of 250 get lung cancer

$\text{P(Lung cancer for non-coal miner)} = \dfrac{5}{250} = \dfrac{1}{50}$

Sample relative risk:

It is the ratio of probability of an outcome in an exposed group to the probability of an outcome in an unexposed group.

Sample relative risk =

$\dfrac{\text{P(lung cancer for coal miner)}}{\text{P(lung cancer for non coal miner)}}\\\\=\dfrac{\frac{1}{5}}{\frac{1}{50}} = \dfrac{50}{5} = 10$

Thus, sample relative risk is 10.

4 0

3 years ago

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

timofeeve [1]

Answer:

$Width = 2\frac{1}{4}cm$

$Length=5\frac{5}{12} cm$

Step-by-step explanation:

Data from the question;

Perimeter of a rectangle is $15\frac{1}{3}$ cm

Length is $3\frac{1}{6}$ cm longer than the width

We are supposed to determine the length and the with of the rectangle;

Assuming, the width x cm

Then, the length is $x+3\frac{1}{6}$ cm

We need to know that the perimeter of a rectangle is given by;

Perimeter = 2 ( length + width)

Therefore;

$15\frac{1}{3}= 2 ( x + (x+3\frac{1}{6}))$

$15\frac{1}{3}=2(2x+3\frac{1}{6})$

Thus;

$15\frac{1}{3}=4x+6\frac{1}{3}$

$4x=9\\x=2\frac{1}{4}$

Therefore;

$Width = 2\frac{1}{4}cm$

$Length = x + 3\frac{1}{6}$

$=2\frac{1}{4}+3\frac{1}{6}$

$=5\frac{5}{12} cm$

Therefore; the length is $5\frac{5}{12}$ cm while the width is $2\frac{1}{4}$ cm

7 0

3 years ago

A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the

VashaNatasha [74]

Answer:

9 ft

Step-by-step explanation:

You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:

cos(50)=x/14

Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).

6 0

4 years ago