A designer needs 4 1/3 yards of material for each dress he makes. How much material will he need to make 15 dresses?​

Answer:

c < 7

Step-by-step explanation:

Given inequality:

c + 10 < 17

Subtract 10 from both sides:

⇒ c + 10 - 10 < 17 - 10

⇒ c < 7

Let's solve

The solution set is

(-oo,7)

Answer:

multiply them all together

Answer:

this gives 36/100 that is the fraction for the decimal

Answer:

9/25

Step-by-step explanation:

Step 1. Multiply by 100 :

Step 2. Divide by 100 and leave in fractional form :

Step 3. Simplify by dividing throughout 4 :

Answer:

See below ~

Step-by-step explanation:

Find the decimal values of the fractions on each side :

Left side                      Right side

⇒ 4/10 = 0.4               ⇒ 2/5 = 0.4

⇒ 1/2 = 0.5                 ⇒ 9/12 = 0.75

⇒ 1/4 = 0.25               ⇒ 2/8 = 0.25

⇒ 3/4 = 0.75              ⇒ 5/10 = 0.5

Hence, the matched fractions are :

4/10 ↔ 2/5

1/2 ↔ 5/10

1/4 ↔ 2/8

3/4 ↔ 9/12

Answer:

Step-by-step explanation:

Answer:

2290.22

Step-by-step explanation:

Formula: V=pi*r^2*h

Plug in the values:

V=pi*81*9

81*pi=~254.469

~254.469 * 9 = 2290.22

Answer:

There are no factors.

Step-by-step explanation:

x²+27x+49​ is prime.

Answer:

See below ~

Step-by-step explanation:

Identities :

Changing the Left Hand Side (LHS) :

Answer:

B

Step-by-step explanation:

Answer:2/3 < 3/4

Step-by-step explanation: 3/4 is greater than 2/3.

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²

Find the area of each shape that make up the figure, then add up to get the area of the composite figure.

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle

Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²

Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²

Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²

The area of the composite figure = 18 + 20 + 18 = 56 km²

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Answer:

[tex]1 + 1 = 2[/tex]

Step-by-step explanation:

1 + 1 is equal to 2 because it is- at least that's what we believe the answer to be. It doesn't have to, but it is just what we as humans have come to recognize because it is internationally accepted.

Heck, you don't need to be a genius to understand that when you inherently have exactly one more of a thing, you have more of it. Numbers are just a way to represent more (or less if we're talking negatives). Now, we'll probably never understand why mathematics is so beautifully synchronized with our world, but it is, and we as a sentient species have come to recognize that for the longest time.

Numbers are abstract, as long as you are consistent, anything can be a number if you give it value. [tex]1+1[/tex] doesn't have to equal [tex]2[/tex], if we wanted we could make it equal to [tex]:)[/tex]. [tex]1 + 1 =\ :)[/tex]

Whether we are solving basic algebra:

[tex]:)x + 4 = 10\\:)x = 6\\x = \frac{6}{:)} =3[/tex]

Or calculating integrals:

[tex]\int\limits^{0.5}_{0} {8xe^{:)x}} \, dx\\= \frac{xe^{:)x}}{:)}-\int\limits{\frac{e^{:)x}}{:)}} \, dx\\= 4xe^{:)x} - :)e^{:)x} + C = (4x-:))e^{:)x} + C\\=(4x-:))e^{:)x}|^{0.5}_{0}\\= (4(0.5)-:))e^{:)(0.5)} - (4(0)-:))e^{:)(0)}\\= :)[/tex]

[tex]1+1[/tex] will always be whatever [tex]1+1[/tex] is.

Hopefully, I didn't get too philosophical lol.

Answer:

Step-by-step explanation: Parts of a circle.

Radius - the side of one slice of pizza

minor arc - The arc formed by the outer side of 3 or less slices of pizza

Diameter - the slice of pizza from side to side that passes through the center

Major arc - The arc formed by the outer side of 5 to 7 slices of pizza

semi circle - 4 slices of pizza or half of the whole pizza

Pairs:

angle BAC - Inscribed angle

Line IE - Secant

Segment AC - Chord

Arc FH - Minor arc

Angle HGF - Circumscribed angle

The complete sentences are:

A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. Every secant line defines a distinct chord, and each chord is in its own unique secant line.

Given:

We have circle with center O.

Now, <BAC is inside the circle.

So, <BAC is an  Inscribed angle.

then, IE is a secant as it is intersecting circle at two points

then, AC id a chord

then, Arc FH is a minor arc

and, <HGF is an Circumscribed angle as it is outside the circle.

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Answer:

dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x

Step-by-step explanation:

We use the Product Rule:

y= (x²-3)³cos2x

dy/dx =   (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx

=   (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x

= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)

=  6x(x²-3)cos2x - 2(x²-3)³sin2x

Answer:

63/8

Step-by-step explanation:

For this question all you have to do is times the 9 and 7 and put the denominator(in this case 8) underneath to make a fraction. The answer totals as 63/8 or 7 and 7/8.

Answer:

[tex]slope \: = - \frac{ 7}{2} [/tex]

Step-by-step explanation:

To find the slope of the line that passes through the points

[tex] \: {x}^{1} \: \: {y}^{1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} \: \: \: \: {y}^{2} \\ (5, \: \: 3) \: \: \: and \: \: (7, \: - 4)[/tex]

We have to follow the formula:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ \frac{ - 4 - 3}{7 - 5} \\ \\ slope = - \frac{ 7}{2} [/tex]

Using the given functions, the value of f(3) is 155

From the question, we are to determine the value of f(3) using the given function.

The given function is

f(n) = 5f(n-1) + 5

To determine the value of f(3),

First, we will determine the value of f(2)

From the given function

f(n) = 5f(n-1) + 5

We can find f(2) as shown below

f(2) = 5f(2-1) + 5

f(2) = 5f(1) + 5

From the given information,

f(1) = 5

∴ f(2) = 5(5) + 5

f(2) = 25 + 5

f(2) = 30

Now, we can determine f(3)

Also, from the given function

f(n) = 5f(n-1) + 5

Then,

f(3) = 5f(3-1) + 5

f(3) = 5f(2) + 5

Substituting the value of f(2) into the equation, we get

f(3) = 5(30) + 5

f(3) = 150 + 5

f(3) = 155

Hence, the value of f(3) is 155

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Answer:

it's either 42 If you add all the sides, or 1769472 if you multiple

Answer:

A.  (96 - 72) ÷ 12

D.  24 ÷ 12

Step-by-step explanation:

Difference between 96 and 72 means subtract 72 from 96:   96 - 72

Divide by 12 means:  ÷ 12

Therefore, "Divide the difference between 96 and 72 by 12" is:  

⇒ (96 - 72) ÷ 12

As the difference between 96 and 72 is 24, we can also represent the calculation by:

⇒ 24 ÷ 12

Answer:

= a^4

Step-by-step explanation:

. a^7/a^3  

= a^4

Answer:

1986.8m³

Step-by-step explanation:

Radius=7.8m

Volume of sphere =4/3pi r³

=4/3×3.14×7.8³=1986.8m³

[tex] \Large{\boxed{\sf x = 14}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf x + 14 = 28 [/tex]

[tex] \\ [/tex]

Subtract 14 from both sides :

[tex] \sf x + 14 - 14 = 28 - 14 \\ \\ \\ \boxed{\boxed{\sf x = 14}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

23 players.

Step-by-step explanation:

5 x 4 + 3 = 23

The economic order quantity of the product with the demand of 390 units is 1392.86 units.

This refers to an inventory management technique that helps make efficient inventory management decisions.

The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]

Given data

Demand = 390 units.

Unit price of product is ETB 25.

Ordering cost is ETB 40 per order

inventory carrying cost is estimated to be 35 percent per yer

EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]

EOQ = 19,500 / 14

EOQ = 1392.85714286

EOQ = 1392.86 units

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A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A king decided to pay a knight one inch of gold for each day's protection on a 6-day trip. The king took a gold bar 6 inches long and paid the knight at the end of each day.

The gold is divided into 2 parts.

First at the 1-inch mark, then the second mark will be

For the second mark, there are two conditions.

Condition 1 = mark can be made at 4 inches, then the next piece will be of 2 inches.

There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.

Condition 2 = Mark can be made at 5 inches, then the next piece will be of 1 inch.

There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.

The division is shown below.

The king will take 1 inch back from the knight and give him 2 inches.

According to the condition = A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.

So on the first day, 1 inch will be given. On the second day, he will give 2 inches and take 1 inch. On the third day, he will give 3 inches and take back 2 inches. On the fourth day, he will give 1 inch. On the fifth day, he will give 2 inches and take back 1 inch. On the sixth day, he will give 1 inch.

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Answer:

[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]

Step-by-step explanation:

To get the equation of a circle, plug your information into this equation:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Therefore, the equation of this circle is:

[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]

Answer:

1) Draw the figure; make sure angle C is obtuse.

(2) There are two right triangles -- ADC and ADB.

(3) Let CD=x and AD=y; use the Pythagorean Theorem to form two equations in x and y.

4) Solve the pair of equations. The x^2 and y^2 terms cancel, leaving you with a linear equation in x which is easily solved to find the answer.

So, The length of CD will be 25/6 = 4.17

Answer:

it’s because 0.50 is half of 100 and 1/2 is a reduced fraction of 50/100.

Step-by-step explanation:

Answer:

2/5

1

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:

Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer choices:

----------------------------------------------------------------------------------------------------------

27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

----------------------------------------------------------------------------------------------------------

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

----------------------------------------------------------------------------------------------------------

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

----------------------------------------------------------------------------------------------------------

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

----------------------------------------------------------------------------------------------------------

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

----------------------------------------------------------------------------------------------------------

[Matthew1756654]

Answer:

P = 0.5Q - 20

Step-by-step explanation:

P = kQ + c

substitute Q = 60 , P = 10 into the equation

10 = 60k + c → (1)

substitute Q = 240, P = 100 into the equation

100 = 240k + c → (2)

subtract (1) from (2) term by term to eliminate c

90 = 180k ( divide both sides by 180 )

[tex]\frac{90}{180}[/tex] = [tex]\frac{1}{2}[/tex] = 0.5 = k

substitute k = 0.5 into (1) and solve for c

10 = 60(0.5) + c

10 = 30 + c ( subtract 30 from both sides )

- 20 = c

then

P = 0.5Q - 20

Answer: The answer is 26

I just divided it by 5