Lina made 9 flower necklaces. Each necklace had 16 carnations and 10 hibiscus flowers. Which equation could be used to calculate the total number of flowers used for the flower necklaces? 9 × 16 × 10 = f (9 + 16) × (9 + 10) = f 9 × (16 × 10) = f (9 × 16) + (9 × 10) = f

if it has a diameter of 28, its radius is half that or 14.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=14\\ h=7.5 \end{cases}\implies V=\pi (14)^2(7.5) \\\\\\ V=1470\pi \implies V=1470(\frac{22}{7})\implies V=4620~m^3\)

Tₐ = 27 and Tₓ = 24 by solving the equation RₐTₐ + RₓTₓ = 150, where Rₐ = 2, Rₓ = 4, and Tₐ = Tₓ + 3.

We are given a condition RₐTₐ + RₓTₓ = 150, where Rₐ = 2, Rₓ = 4, and Tₐ = Tₓ + 3. We really want to track down the upsides of Tₐ and Tₓ.

Subbing the given qualities, we have:

2(Tₓ + 3) + 4Tₓ = 150

Growing the sections and streamlining, we get:

2Tₓ + 6 + 4Tₓ = 150

6Tₓ + 6 = 150

Taking away 6 from the two sides:

6Tₓ = 144

Partitioning the two sides by 6, we get:

Tₓ = 24

Accordingly, Tₓ is 24.

Now that we know Tₓ, we can track down Tₐ:

Tₐ = Tₓ + 3

Subbing the worth of Tₓ we got before, we get:

Tₐ = 24 + 3

Tₐ = 27

Accordingly, Tₐ is 27.

In outline, we were given the condition RₐTₐ + RₓTₓ = 150, where Rₐ = 2, Rₓ = 4, and Tₐ = Tₓ + 3. We tackled for Tₓ by subbing the given qualities and working on the situation. We observed that Tₓ is 24. Utilizing this worth of Tₓ, we tracked down Tₐ by subbing it into the articulation for Tₐ regarding Tₓ. We observed that Tₐ is 27.

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By the rule of indices the  given expression is equivalent to x⁻² y⁻⁵.(option B)

What is index?

In mathematics, Index in plural indices  is the power or exponent which is raised to a number or a variable. For example, for the number 2⁵, 5 is the index of 2. Which gives the value 32.

Given expression is y⁻⁸ y³ x⁰ x⁻²

Here we use the law of indices.

By the law of indices it can be stated that the indices at the time of multiplication is being added up. That is zᵃ × zᵇ = zᵃ⁺ᵇ.

Using this concept of indices the given expression can be rewritten as

 y⁻⁸⁺³ x⁰⁻²

= y ⁻⁵ x⁻²

= x⁻² y⁻⁵

Hence, the given expression is equivalent to x⁻² y⁻⁵.

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Answer:

They are congruent by AA- because the only thing they have in common is the 65 degree angles but the sides are all different

Step-by-step explanation:

Answer:

A ∆ with an exterior angle :116° & two interior angles 7x+6 & 4x

The value of angle 7x+6

we know that ,

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non adjacent interior angles of the triangle.

so,

\(7x + 6 + 4x= 116 \\ 11x + 6 = 116 \\ 11x = 116 - 6 \\ 11x = 110 \\ x = 110 \div 11 \\ x = 10\)

so ,the measure of green angle would be

\(7x + 6 \\ placing \: the \: value \: of \: x \: as \: 10 \\ 7 \times 10 + 6 \\ = 70 + 6 \\ = 76\)

To verify our answer ,the sum of the resultant value of green angle and 4x should be 116°(the exterior opposite angle)

so,

\(7x + 6 + 4x = 116 \\ 7 \times 10 + 6 + 4 \times 10 = 116 \\ 70 + 6 + 40 = 116 \\ 76 + 40= 116 \\ 116 = 116 \\ \\ hence,\: verified\)

Solution:

Note that:

Simplify the equation to find x.

Substitute the value of x into the measure of the green angle.

The measure of the green angle is 76°.

Answer:

Hello :D

10 gallons = 40 quarts

1/3 = 3 quarts

9 quarts + 3 quarts = 12 quarts

40 - 12 = 28 quarts

They must drink 28 quarts to finish all the milk

Step-by-step explanation: Friend request me thanks!

The nature of the roots of the equation 2x^2 - 3x + 5 = 0 is imaginary or unreal.

We know that the general form of a quadratic equation is:

ax^2 + bx + c =0

The equation we have is:

2x^2 - 3x + 5 = 0

Comparing the given equation with the general form of a quadratic equation, we get that:

a = 2, b= -3, and c = 5

We know that if D = b^2 - 4ac < 0, then the roots of the quadratic equation are imaginary or unreal.

Therefore, b^2 - 4ac = (-3)^2 - 4x2x5 = -31 < 0.

Hence, we conclude that the nature of the roots of the give equation is imaginary or unreal.

The question is incomplete, the complete question is:

What is the nature of roots of  2x^2 - 3x + 5 = 0 ?

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The factory produces 72 bottles of juice per minute.

What is the rate?

A rate is a special ratio in which the two terms are in different units. If a 12-ounce can of corn costs $69, the rate is $69 for 12 ounces. This is not a proportion of two comparable units, such as shirts. This is a proportion of two dissimilar units: cents and ounces.

To find the factory's production rate in bottles per minute, we need to divide the number of bottles produced by the time it took to produce them. In this case, the factory produced 360 bottles in 5 minutes, so the production rate is:

360 bottles / 5 minutes = 72 bottles/minute

This means that the factory produces 72 bottles of juice per minute.

Hence, the factory produces 72 bottles of juice per minute.

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Option fourth "The functions are not inverses because, for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function." is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two tables shown in the picture.

Table (A) have values of x and a(x)

Table (B) have values of d and r(d)

As we know if the function has an inverse of it and (x, y) satisfies the function then (y, x) must satisfy the inverse of a function.

Thus, the option fourth "The functions are not inverses because, for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function." is correct.

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The expression is written as 2⁶w¹⁸z¹².

The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given equation

64w¹⁸z¹²

so factors of 64 = 2 x2 x 2 x2 x 2 x2

64 = 2⁶

the equation is 2⁶w¹⁸z¹²

Hence the value of equation is 2⁶w¹⁸z¹².

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A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment.

The most suspicious set of outcomes for a simulated game of chess that is supposed to be biased in favor of player B winning 4 out of 5 times would be if player B won all 30 games. This outcome would be highly unlikely if the game was truly random and the bias towards player B was accurate. Other suspicious outcomes could include player B winning 29 out of 30 games or player B winning 28 out of 30 games with a high margin of victory in each game.

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a is correct

Step-by-step explanation:

Answer:

30 + 25 + (4x + 25) = 180

55 + (4x + 25) = 180

-55                    -55

4x + 25 = 125

-25 -25

4x = 100

Divide by 4 on both sides

X = 25

Now we just replace the x with 25

4 x 25 = 100, 100 + 25 = 125 degrees is the missing angle of y

Answer:

x>26

Step-by-step explanation:

8(\(\frac{x}{4}\)-6)>4

2x-48>4

2x>52

x>26

However this is not an answer given in the multiple choice box. Perhaps you meant 8(\(\frac{x}{4-6\\}\))>4?

8(\(\frac{x}{4-6\\}\))>4

8(x/-2)>4

-4x>4

x<-1

Still not an answer given. Did you not copy all the multiple choice questions, or is the question miswritten?

Answer:

Step-by-step explanation:

4x is in a multiplication form

4x=36

meaning a number when multiplied with 4 gives the answer 36

hence in order to find the answer

36 divided by 4 which is equivalent to 9

answer is 9

Answer:  \(x = 9\)

Step-by-step explanation:

We must isolate \(x\) on one side of the equation in order to solve the equation \(4x = 36\) for \(x\).

Step 1: Divide both sides of equation by 4:

\(\frac{4x}{4} = \frac{36}{4}\)

Step 2: Simplify

\(x = 9\)

Therefore, the solution to the equation is \(x = 9\).

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Rearranging an algebraic equation so that \(x\) is on one side and all other terms are on the other side of the equal sign is known as isolating \(x\).

The rate of interest be 4% for which the principal amount of $4000 for 4 years of time period give the interest amount of $640.

Given, the simple interest on $4000 for 4 years be, $640.

we have to find the rate of interest.

Principal Amount = $4000

Time Period = 4 years

Simple Interest = $640

Now, on using the formula of simple interest, we get

Simple Interest =  (Principal amount × Rate of Interest × Time)/100

On substituting the values, we get

640 = (4000× Rate of Interest ×4)/100

Rate of Interest = (640×100)/(4000×4)

Rate of Interest = 4

So, the rate of interest be 4%

Hence, the rate of interest be 4%.

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The measure of the angle z of triangle ∆ABD in the same segment with angle C of triangle ∆ABC is equal to 51°

When two angles are in the same segment, they have the same measure. This means that if you know the measure of one angle in a particular segment, you can determine the measure of any other angle in that segment.

angle z = angle C

angle C = 180° - (55 + 34 + 40)° {sum of interior angles of triangle ABC

angle C = 180° - 129°

angle C = 51°

also;

angle z = 51°

Therefore, the measure of the angle z of triangle ∆ABD in the same segment with angle C of triangle ∆ABC is equal to 51°

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Answer:

v = - 2

Step-by-step explanation:

Given

- 12 = 2 + 5v + 2v ( subtract 2 from both sides )

- 14 = 7v ( divide both sides by 7 )

- 2 = v

The trinomial 3p¹ - 2p - 5 cannot be factored because there is no common factor

The trinomial expression stated in the question is

3p¹ - 2p - 5

The above is a trinomial expression because the number of term in the expression are 3

i.e. 3p¹,  - 2p and - 5

Evaluate the exponents, so we get

3p - 2p - 5

When the like terms of the expression are evaluated, we have

p - 5

The terms of the abovee expression do not have  a common factor

This means that the expression cannot be factored

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Answer: $22.68

Step-by-step explanation:

17.50 times 0.08 = 1.40

17.50 + 1.40 = 18.90

Now the tip:

18.90 times .2 = 3.78

18.90 + 3.78 = 22.68

Both  2/3m=-4 and -4m=24 have a solution of 1/6 and are equivalent

Algebraic expressions are described as expressions that contains terms, variables, coefficients, constants and factors.

They are also known to be made up of some arithmetic operations, such as;

We have the equations;

2/3m=4 and -4m=24

Let's solve for m in the first equation

12m = 2

Divide both side by coefficient of m

m = 2/ 12  = 1/ 6

For the second equation

-4m = 24

Divide both sides by - 4

m = 24/-4

m = 6/ -1

Take inverse

m = 1/6

Hence, the equations are equivalent

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Answer: 4⋅(2+5) = 4 * (2+5) = 4 * 7 = 28

Step-by-step explanation:

Line 1 shows the original expression and Line 2 shows the expression is simplified by using the distributive property.

4⋅2 + 4⋅5 = 8+20 = 28

So the final result is 28.

Answer: The best answers are :

Step-by-step explanation:

I hope it helps :)

Answer:

a and c

Step-by-step explanation:

Answer: -4 and 9

Step-by-step explanation:

Answer:

y= x+ 4

Step-by-step explanation:

use y= mx+b where m is the slope and y is the y intercept

in this case the slope is one and y intercept is four

Answer:

Ya dig?

Step-by-step explanation: You gon choose me baby.

Answer:

Positive, Linear, Strong, no

Step-by-step explanation:

I got it right :)

Answer: The relationship between height and vertical jump distance is negative positive, linear, and strong.

There are no unusual observations.

Step-by-step explanation:

Edge

We can see here that:

A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).

Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.

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the solution to the equation sec x - tan x = - sqrt 3 / 3 exactly on 0 ≤ x ≤ 2pi is x ≈ 2.2768.

To solve this equation, we'll first rewrite it in terms of sin and cos:

sec x - tan x = - sqrt 3 / 3
1/cos x - sin x/cos x = - sqrt 3 / 3
(1 - sin x)/cos x = - sqrt 3 / 3
1 - sin x = - sqrt 3 cos x / 3
1 = sin x + sqrt 3 cos x / 3

Now, we can use the fact that sin^2 x + cos^2 x = 1 to solve for one of the variables. Let's solve for cos x:

cos^2 x = 1 - sin^2 x
cos^2 x = 1 - (1/3 + (sqrt 3 / 3)^2)    (using sin^2 x + cos^2 x = 1 and the equation above)
cos^2 x = 1 - 4/9
cos^2 x = 5/9
cos x = sqrt(5)/3

Now we can substitute this into our equation:

1 = sin x + sqrt 3 cos x / 3
1 = sin x + (sqrt 3 / 3) (sqrt 5 / 3)
1 = sin x + sqrt 15 / 9
sin x = 8/9 - sqrt 15 / 9
sin x = (8 - sqrt 15) / 9

Since sin x is negative in the second and third quadrants, we can use the inverse sine function to find the value of x in the second quadrant:

sin x = (8 - sqrt 15) / 9
x = pi - sin^-1((8 - sqrt 15) / 9)
x ≈ 2.2768

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