If Diana spends 25 more minutes running at the gym how many minutes does she spend lifting weights?

DUDE SOMEONE ANSWER THIS QUESTION

son4ous [18]

The line which rises to the left has slope of -1/3 and y intercept of 2 so we have

y = -1/3x + 2

3y = -x + 6

x + 3y = 6

Shading is below and the line is solid so the inequality is

x + 3y ≤ 6

The other line has equation

y = 3x - 1

and inequality is

y ≥ 3x - 1

The answer is B

8 0

3 years ago

What are the answers for these questions 1,2,&3

ValentinkaMS [17]

1fyjoite yuuic hyrsd hui

6 0

2 years ago

The point P=\left(-\frac{\sqrt{33}}{7},\,\, y\right)P=(− 7 33 ,y) lies on the unit circle shown below. What is the value of

kifflom [539]

Answer:

y = √-1040/7

Step-by-step explanation:

The equation of a unit circle is expressed as;

x²+y² = 1

Given the coordinate of P = (-33/7, y)

Substitute the coordinate into the give expression and find y;

(-33/7)²+y² = 1

Expand

y² = 1-(-33/7)²

According to difference of two square

y² = (1+(-33/7))1-(-33/7))

y² = (1-33/7)(1+33/7)

y² = -26/7(40/7)

y² = -1040/49

y= √-1040/49

y = √-1040/√49

y = √-1040/7

Hence the value of y is y = √-1040/7

4 0

2 years ago

Find the percent of change if the original price is $246.95 and the new price is $199.95. Round to nearest tenth of a percent if

Grace [21]

Answer:

<h3>Percentage change = 19%</h3>

Step-by-step explanation:

Since the new price is lesser than the original price the percentage change will be a decrease.

To find the percentage change use the formula

$Percentage \: \: change = \frac{change}{original \: \: quantity} \times 100$

To find the change subtract the new price from the original price

new price = $199.95

original price = $246.95

Change = $246.95 - $ 199.95 = $47

$Percentage \: \: change = \frac{47}{246.95} \times 100$

<h3>Percentage change = 19%</h3>

Hope this helps you

3 0

3 years ago

Read 2 more answers

A rectangular piece of sheet metal has a length that is 6 in. less than twice the width. a square piece 3 in. on a side is cut f

m_a_m_a [10]

The original width would be 19 and the original length would be 32.

Let w be the width. Then 2w-6 would be the length. However, after cutting a 3-inch square from each corner, both the width and length left over to fold into a box would be 6 inches smaller; thus the dimensions would be w-6 and 2w-6-6 or 2w-12.

Since the section cut out is 3 inches long, 3 will be the height of the box.

Volume is found by multiplying the length, width and height of the box; thus we have:

1014=(w-6)(2w-12)(3)

We multiply the binomials and have:
1014 = [w*2w-12*w-6*2w-6(-12)](3)
1014 = (2w²-12w-12w+72)(3)
1014 = (2w²-24w+72)(3)
1014 = 6w² - 72w + 216

When solving a quadratic equation, we want it set equal to 0. Subtract 1014 from each side:

1014-1014 = 6w² - 72w + 216 - 1014
0 = 6w² - 72w - 798

We will use the quadratic formula to solve this:

$w=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
\\
\\=\frac{--72\pm \sqrt{(-72)^2-4(6)(-798)}}{2(6)}
\\
\\=\frac{72\pm \sqrt{5184--19152}}{12}
\\
\\=\frac{72\pm \sqrt{5184+19152}}{12}
\\
\\=\frac{72\pm \sqrt{24336}}{12}
\\
\\=\frac{72\pm 156}{12}
\\
\\=\frac{72+156}{12} \text{ or } \frac{72-156}{12}
\\
\\=\frac{228}{12} \text{ or } \frac{-84}{12}=19 \text{ or } -7$

Since we cannot have a negative number for a measurement, 19 has to be the width; then 2(19)-6 = 32 would be the length.

4 0

3 years ago