Use the slope formula to calculate the slope of a line that passes through points (2, 5) and (3, 8)

Erica bought 3 1/2 yards of fabric if she uses 2/3 of the fabric how much will she have left?

RoseWind [281]

First, convert 3 1/2 into an improper fraction, which is 7/2. Now, you have to make sure both sides have a common denominator. This will be 6. So now the equation is 21/6 - 4/6. Subtract the numerators, which is 17. Keep the denominator, however. Now, simplify. You new answer will be 2 5/6.

8 0

3 years ago

Number like 10 10 1000 and so on are called

DochEvi [55]

These number r called patterns

7 0

3 years ago

Cubic yards of concrete will be required for 14 parking lot light pole standards

riadik2000 [5.3K]

Using conversion of units and volume of a cylinder, it is found that 23.17 cubic yards of concrete are needed, option D.

The volume of a cylinder of radius r and height h is given by:

$V = \pi r^2h$

In this problem:

We want the volume in cubic yards, thus, the units of radius and height have to be in yards.
32 inches in diameter, thus 16 inches of radius. Since each inch has 0.0278 yards, this is a radius of 0.44 yards, thus $r = 0.44$ .
Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus $h = 2.67$
14 poles, thus the volume is multiplied by 14.

Then:

$V = 14\pi(0.44)^2(2.67) = 23.17$

23.17 cubic yards of concrete are needed, option D.

A similar problem is given at brainly.com/question/22789697

3 0

3 years ago

What is the equation of this graphed line?

Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is $y = \frac{1}{3} x - 9$

Step-by-step explanation:

Here, the two point line are given as is A(-6,-3) and B(6,-7)

The slope of the line AB = $m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-7-(-3)}{6-(-6)} = \frac{-7 + 3}{6 + 6} = \frac{4}{12} \\\implies m = \frac{1}{3}$

⇒ the slope of AB is m = (4/3)

By SLOPE INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)= m (x-x0)

⇒ The equation of line with point (6,-7) is:

$y + 7 = \frac{1}{3} (x-6) \implies 3y + 21 - x + 6 - 0\\or, -x + 3y + 27 = 0$

Now, the given equation is -x + 3y = -27

Convert it in the SLOPE INTERCEPT FORM y = mx + c

We get, 3y = x - 27

or, $y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9$

Hence, the Slope Intercept form of the equation is $y = \frac{1}{3} x - 9$

3 0

3 years ago

You are a member of a darts team and they have won £1750 prize money in a competition. £70 is to be saved for a celebration part

grandymaker [24]

Most of the information's that are required for solving this question is already given in the question. It is important to check them minutely before trying to solve the problem in hand.
Amount of prize money won by the darts team = 1750 pounds
The amount of money that needs to be saved = 70 pounds
Then
Amount of money remaining after savings = (1750 - 70) pounds
= 1680 pounds
The number of team members in the darts team = 14
So
The amount of money
that each members of the darts team gets = 1680/14
= 70 pounds
From the above deduction we can easily conclude that each member of the darts teams will get an amount of 70 pounds.

7 0

3 years ago

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