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4 years ago

The length of a rectangle is 8 m more than 6 times the width. The perimeter is 156 m. Find width.

1 answer:

5 0

<span>width = x
</span><span>length = 6x + 8

x + 6x + 8 = 156/2
7x + 8 = 78
7x = 78 - 8
7x = 70
x = 70/7
x = 10 m </span>← width

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4 years ago

In a math competition, every question that is answered correctly gets a score of 4. Wrong gets a score of -2. and not answered g

11111nata11111 [884]

Answer:

Step-by-step explanation:

First we need to find the score of the incorrect answers and the questions that were not answered.

Score for the incorrect answers = 4*(-2) = -8

Score for the questions not answered = 6*(-1) = -6

Score for the questions answered correctly = 106 - [ (-8) + (-6) ]

= 106 -[-14]

= 106 + 14

= 120

Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer

= 120 ÷ 4

= 30

30 questions were answered correctly.

7 0

2 years ago

The table below shows some values that satisfy a linear function.

Makovka662 [10]

Answer:

1.5

Step-by-step explanation:

Given the pair of points on the table.

Now the formula for slope, $m=\dfrac{y_2-y_1}{x_2-x_1}$

To calculate the slope we only require two pair of points.

Let us take: $(x_1, y_1)=(-5,0)$ and (x_2, y_2)=(-3,3)$

$m=\dfrac{3-0}{-3-(-5)}\\=\dfrac{3}{-3+5}\\=\dfrac{3}{2}\\m=1.5$

The slope of the linear function represented by the values in the table is 1.5.

Note: You can use any two set of values. The result will be the same.

3 0

4 years ago

A house hunter on Long Island estimates that 20% of the available houses in her price range are in acceptable condition. Further

Otrada [13]

Answer:

36% probability that she will find an acceptable house in the first two weeks that she looks.

Step-by-step explanation:

For each house, there is a 20% probability of it being acceptable. And a 100-20 = 80% of not being acceptable

What is the probability that she will find an acceptable house in the first two weeks that she looks (round off to second decimal place)?

She only looks one house a week.

So this is the same as the probability of taking two or less weeks to find a house.

The are two outcomes

Finding an acceptable house in the first week, with 20% probability

Not finding an acceptable house in the first week, with 80% probability, and then finding an acceptable house in the second week, with 20% probability.

Probability:

$P = 0.2 + 0.8*0.2 = 0.36$