duane bought 21 3/4 inches of chain for an art project he needs chains that are 3 inch long how many 3 inch chains will he be able to use for his project

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

Answer:

2.8625

This is 916 divided by 320

Answer:

Full Answer - 2.8625

Rounded - About 3

Nearest Tenth - 2.9

Nearest Hundredth - 2.86

Step by Step:

Shown Below  

Hope this Helps

Answer:

3x+y=2

Step-by-step explanation:

The equation is in slope intercept form.

y=mx+b

Standard form is given by:

ax+by=c

y=-3x+2

3x+y=2

Answer:

12x + 3 - 4x - 6 = 5

x=1

5x - 4 + 7 + 6x - 4x = 24

x=3

Answer:

1. -3145

Step-by-step explanation:

I couldnt solve the other one because they don't have a equal sign. Something like 28x-43= ?

Answer:

-37x85= -3145
28x-43=-1204
-53x-98=5194

those are ur answers

Step-by-step explanation:

Answer:

[tex]x = 30 \\ y = 10[/tex]

Step-by-step explanation:

[tex]8x + 6y = 300 \\ x + y = 40 \\ 6x + 6y = 240 \\ 2x = 60 \\ = > x = 30 \\ y = 10[/tex]

Step-by-step explanation:

I assume the original expression is

2x² + 16x + 11

we need to get this into the form of a(x + b)² + c

let's do the generic multiplication and compare the result to the given expression :

a(x² + 2bx + b²) + c = ax² + 2abx + ab² + c

when we compare this with the original equation, we only need to look at terms with the same variable exponents.

2x² is the only term with "x²".

and ax² is the only term with "x²" in the generic form.

so ?

2x² = ax²

=>

a = 2

16x is the only term with "x" (exponent 1).

2abx is the only term with "x" in the generic form.

16x = 2abx

8x = abx = 2bx

4x = bx

=>

b = 4

11 is the only pure number (constant).

ab² + c is the only constant term in the genetic form.

11 = ab² + c = 2×4² + c = 2×16 + c = 32 + c

-21 = c

so, the solution is

2(x + 4)² - 21

Answer:

Omg i love geometry hehe your in luck :D

Step-by-step explanation:

15.65 should be your answer if i have calculated correctly.

Answer:

James rode further.

Step-by-step explanation:

find the L.C.M

ryan to james - 20/24 < 21/24

Answer: ? What are you talking about?

Step-by-step explanation:

Step-by-step explanation:

x = 0,75

y = 0,96

= x - 2y

= 0,75 - 2.0,96

= 0,75 - 1,96

= -1,21

Answer:

The answer is...

Step-by-step explanation:

Answer:

The direct answer is 745

Step-by-step explanation:

773 minus 28

✨745✨

Answer:

1

first choice

Step-by-step explanation:

in a function, the x-value never repeats.

(found in brainly)

Recall the angle sum identity for cosine,

cos(α + β) = cos(α) cos(β) - sin(α) sin(β)

Then given sin(α) = -1/3, we have

cos(α + β) = cos(α) cos(β) + 1/3 sin(β)

α is in quadrant IV, so 3π/2 < α < 2π, and so sin(α) is negative and cos(α) is positive. Then from the Pythagorean identity, we get

sin²(α) + cos²(α) = 1

⇒   cos(α) = √(1 - sin²(α)) = 2√2/3

β is in quadrant III, so π < β < 3π/2, so both sin(β) and cos(β) are negative. If we multiply both sides of the previous identity by 1/cos²(α) and replace α with β, we get

sin²(β)/cos²(β) + cos²(β)/cos²(β) = 1/cos²(β)

⇒   tan²(β) + 1 = 1/cos²(β)

⇒   1/cos(β) = -√(tan²(β) + 1) = -√58/3

⇒   cos(β) = -3/√58

Also recall that by definition,

tan(β) = sin(β)/cos(β)

⇒   sin(β) = tan(β) cos(β) = 7/3 • (-3/√58) = -7/√58

Putting everything together, we find that

cos(α + β) = 2√2/3 • (-3/√58) + 1/3 • (-7/√58) = -(6√2 + 7)/(3√58)

or more clearly,

[tex]\cos(\alpha + \beta) = -\dfrac{6\sqrt2 + 7}{3\sqrt{58}}[/tex]

Answer:

you have 41 quarters

Step-by-step explanation:

.....

Answer:

98

Step-by-step explanation:

you at 56 in to 42

Answer:

98

pa brainless

Step-by-step explanation:

please brainless

Answer:

1.363

Step-by-step explanation:

Area of the sector is x/360 * pi * r^2

A = 40/360 * pi * 7*7

= 1/9 * 22/7 * 49

= 1/9 * 22 * 7

= 17.111111

Area of the triangle OMN = 1/2 ab sin C

so here A = 1/2 * 7 * 7 * sin 40

= 49/2 * sin 40

= 15.748296437320213494904763542728

so, Area of shaded segment is

= Area of sector - area of triangle

= 17.1111111 - 15.748296437320213494904763542728

= 1.363

Answer:

m = 4

Step-by-step explanation:

The slope of two given points are:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points of (-11, -2) & (-15, -18).

[tex]m = \frac{-18+2}{-15+11} = \frac{-16}{-4}=\boxed{4}[/tex]

The slope of the line is 4.

Hope this helps.

Answer:

C

Step-by-step explanation:

The shape is composed of a square and a semi circle

area of square = a × a = a²

The diameter of the semi circle is c , then radius = [tex]\frac{1}{2}[/tex] c = [tex]\frac{c}{2}[/tex]

area of semi circle = [tex]\frac{1}{2}[/tex] πr² = [tex]\frac{1}{2}[/tex] π × ([tex]\frac{c}{2}[/tex] )² = [tex]\frac{1}{2}[/tex] π × [tex]\frac{c^2}{4}[/tex] = [tex]\frac{\pi c^2}{8}[/tex]

area of shape = a² + [tex]\frac{\pi c^2}{8}[/tex] → C

86,000 :)

hope it helped!

The Eubanks Answer:

Step-by-step explanation:hehus

Answer:

Step-by-step explanation:

Answer:

96 cm or B

Step-by-step explanation:

Base-l*w, 6*6, 36

Side 1-(h*w)1/2, (30)1/2, 15

Side 2-Same as 1

Side 3-Same as 1

Side 4-Same as 1

15+15=30, 15+15=30, 30+30=60, 60+36=96

96 cm

Answer:

4. - 11

5. 3

6. 14

7. - 60

that it is

Answer:

The question or equation is not clear.....

Answer:

20 por cento de cada um , que colocar

The unemployment rate is approximately 17 per cent. The correct option is A.

To calculate the unemployment rate, we need to consider the number of unemployed individuals (those looking for work) divided by the total labour force (those employed plus those looking for work).

Given:

Total population = 100

Employed individuals = 50

Individuals looking for work (unemployed) = 10

Total labour force = Employed + Unemployed

Total labor force = 50 + 10 = 60

Unemployment rate = (Unemployed / Total labour force) x 100

Unemployment rate = (10 / 60) x 100 ≈ 16.67 percent

Rounding to the nearest whole number, the unemployment rate is approximately 17 per cent.

Therefore, the correct answer is option A.

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0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347

Work Shown:

z = (x - mu)/sigma

z = (72.4 - 69.0)/(2.8)

z = (3.4)/(2.8)

z = 1.2142857 .... which is approximate

z = 1.21

Z-score of a man who is 72.4 inches tall is 0.45.

Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.

A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:

= ( - ) /

Where:

- is the value we want to find the z-score for (72.4 inches in this case).

- is the mean of the dataset (69.0 inches).

- is the standard deviation of the dataset (2.8 inches).

Plugging in the values:

= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446

Rounded to two decimal places, the z-score is approximately 0.45.

This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.

In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.

This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.

Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.

In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.

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