Simplify the complex numbers and match them with the correct values.

The difference between the cost of one candy per ounce and the other candy is that: Almond bark costs $0.50 more per ounce than peanut brittle.

Mathematically, a direct proportion can be represented the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for each candy as follows:

For Peanut Brittle, we have the following:

Constant of proportionality (k) = 10/10

Constant of proportionality (k) = 1.0

For Almond Bark, we have the following:

Constant of proportionality (k) = 3/2

Constant of proportionality (k) = 1.5

Next, we would determine the difference in cost:

Difference in cost = 1.5 - 1.0

Difference in cost = $0.50.

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Each individual paid the sum of $23.4 including state tax at the restaurant

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%".

In the problem, their total bill is $50.88 and they gave a 30% tip

We should fid 30% of 50.88

0.3 * 50.88 = $15.264

30% of $50.88 is $15.264

If we add this up and then find the state tax to it.

15.264 + 50.88 = 66.144.

Find 6% of 66.144 to determine the state tax.

0.06 * 66.144 = 3.96864

The total amount spent is 66.144 + 3.96864 = 70.11264

We can divide this equally amongst the three people to get the individual payment = 70.11264/3 = 23.37088

Rounding this to the nearest cent, we have 23.4.

We can say each person paid $23.4 at the end of the day

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The given equation solved for u is u = 7 or u = -7

From the question, we are to solve the given equation.

The given equation is

u^6 − 49 u^4 = 0

First, we will write the equation properly

The given equation written properly is

u⁶ - 49u⁴ = 0

Now,

To solve the equation, we will determine the value(s) of the variable. The variable in the given equation is u.

Thus,

We will solve for u

u⁶ - 49u⁴ = 0

Add 49u⁴ to both sides of the equation

u⁶ = 49u⁴

Divide both sides by u⁴

u⁶/u⁴ = 49u⁴/u⁴

u² = 49

Then,

u²- 49 = 0

u² - 7² = 0

Factorize by applying the rule for difference of two squares

(u + 7)(u - 7) = 0

Then,

u + 7 = 0 OR u - 7 = 0

u = -7 OR u = 7

Hence, the value of u is -7 OR 7

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Answer: c. 1

Step-by-step explanation:

[tex]\displaystyle\\(cot\theta)(sin\theta)(sec\theta)=\\\\\frac{cos\theta}{sin\theta}(sin\theta)\frac{1}{cos\theta} =\\\\\frac{cos\theta (sin\theta)(1)}{sin\theta(cos\theta)}=\\\\1[/tex]

The slope of the line is -3 and the equation of the line formed by the points is y + 3x = 6.

From the table we can see that the line passes through the points:

(-6,6) ,(5,-3) ,(4,0) and (3,3) .

Let us consider any two points on the line (4,0) and (3,3) .

We know that the slope of the line can be found by using the intercept formula

Hence slope = (3-0) / (3-4) = 3/ -1 = -3

Now the equation of the line is :

y - 3 = -3(x-3)

or, y - 3 = -3x +9

or, y + 3x = 6

The letter m is frequently used to represent the slope of an object that resembles a line in the plane that contains the x and y axes. The slope is defined as the difference in two independent locations along the line expressed in y coordinate less by the equivalent difference in x coordinate.

Therefore slope of the line is -3.

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Answer:

124.644

Step-by-step explanation:

28.2*4.42=124.644.

Answer:

28.2 × 4.42= 124.644

and in non-decimal it's 124644 removing 3 decimal places

Step-by-step explanation:

Brainiest, please

thank you

Answer:

x = 4 ; y = -1

Step-by-step explanation:

y = -2x + 7

x + 2(-2x+7) = 2

x -4x + 14 = 2

-3x = 2 -14

-3x = -12

-3/-3 x = -12/-3

x = 4

y = -2* 4 + 7

y = -8 + 7

y = -1

to get the slope of any straight line, we simply need two points off of it, let's use those two from the picture below

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{-1 +3} \implies \cfrac{ -4 }{ 2 } \implies - 2[/tex]

The number of  turkeys that they sold on Sunday is 90 turkeys

Total number of turkeys = 240

On Sunday, they sold 3/8 of them

The fraction of turkeys they sold on Sunday = 3/8

To find the number of turkeys that they sold on Sunday we have to find the 3/8 fraction of 240

Then,

The number of turkeys that they sold on Sunday = Total number of turkeys × The fraction of turkeys they sold on Sunday

Substitute the values in the equation

The number of turkeys that they sold on Sunday = 240 × 3/8

= 240 × 0.375

= 90 turkeys

Hence, the number of  turkeys that they sold on Sunday is 90 turkeys

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Answer:

1. Given.

2. Definition of congruent segments.

3. Segment Addition Postulate.

4. Substitution Property of Equality.

5. Transitive Property of Equality.

6. Subtraction Property of Equality.

7. Definition of congruent segments.

Step-by-step explanation:

Statement 1

[tex]\overline{AB} \cong \overline{CD}; \; \overline{CE} \cong \overline{AE}[/tex]

Reason:  Given.

Statement 2

[tex]AB=CD; \;CE=AE[/tex]

Reason:  Definition of congruent segments.

Congruent segments are segments that have the same length.

Statement 3

[tex]AE+EB=AB; \; CE+ED=CD[/tex]

Reason:  Segment Addition Postulate.

A line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.

Statement 4

[tex]CE+EB=CD[/tex]

Reason:  Substitution Property of Equality.

For all numbers a and b, if a=b, then a may be replaced by b in any equation or expression.

Statement 5

[tex]CE+ED=CE+EB[/tex]

Reason:  Transitive Property of Equality.

For all numbers a, b and c, if a=b and b=c, then a=c.

Statement 6

[tex]ED=EB[/tex]

Reason:  Subtraction Property of Equality.

For all numbers a, b and c, if a=b, then a-c=b-c.

Statement 7

[tex]\overline{ED} \cong \overline{EB}[/tex]

Reason:  Definition of congruent segments.

Congruent segments are segments that have the same length.

Answer:

Below

Step-by-step explanation:

The equation ( you need to commit to memory) is:

FV = PV ( 1+i)^n      FV = future value    PV = present value(110 000)

                               i = decimal interest per PERIOD = .08 /4 = .02

                                 n = # of periods = 40  (it is a quarterly period by 10 yrs)

FV = 110 000 ( 1 + .02)^40 =  242 884 .36 dollars

Answer:

22.3 gm

Step-by-step explanation:

720 is this many half lives :   720 / 1690

   so there will be this much left   30 gm ( 1/2)^(720/1690) = 22.3 gm

Answer:

63 is the answer.

Step-by-step explanation:

9p=9xp, p=7, so 9x7=63. ;)

The number of groups, using the combination formula, for each case, is given as follows:

a) Same number of students from each grade: 1,245,816,000

b) At least two grade nine students: 31,650,886,995.

c) James and Lucy are in it: 2,481,256,778.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, obtained by the following formula, involving factorials.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For item a, the groups are taken as follows:

Hence the number of groups is:

[tex]C_{10,3}C_{11,3}C_{12,3}C_{13,3} = \frac{10!}{7!3!} \times \frac{11!}{8!3!} \times \frac{12!}{9!3!} \times \frac{13!}{10!3!} = 120 \times 165 \times 220 \times 286 = 1,245,816,000[/tex]

For item b, the total number of groups, without considering the restriction, is:

[tex]C_{46,12} = \frac{46!}{12!34!} = 38,910,617,655[/tex]

The number of groups with none students from grade 9 is:

[tex]C_{36,12} = \frac{36!}{12!24!} = 1,251,677,700[/tex]

The number of groups with one student from grade 9 is:

[tex]C_{10,1}C_{36,11} = 10 \times \frac{36!}{11!25!} = 6,008,052,960[/tex]

Using complementary events, the number of groups with at least two grade 9 students is:

38,910,617,655 - (1,251,677,700 + 6,008,052,960) = 31,650,886,995.

For item c, considering Jamie and Lucy in it, the remaining 10 students are taken from a set of 44, hence:

[tex]C_{44,10} = \frac{44!}{10!34!} = 2,481,256,778[/tex]

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Answer: y = 5x - 3

Step-by-step explanation:

It is a line, so its formula is y = mx + b.

         [tex]y=5x+b\\7=5(2)+b\\7=10+b\\b=7-10=-3[/tex]

Therefore, the formula is y = 5x - 3.

Answer:

y=5x-3

Step-by-step explanation:

The number of guests at the wedding is 276.

Since 1/3 of the guests choose beef and 5/12 choose chicken, the fraction for vegetarian will be:

= 1 - (1/3 + 5/12)

= 1 - 3/4

= 1/4

Therefore, let the total number of guests be x.

This will be illustrated as:

1/4 × x = 69

0.25x = 69

Divide

x = 69 / 0.25

x = 276

Therefore, there are 276 guests.

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Answer:

12 inches

Step-by-step explanation:

Let be "x" the top inches (in the model) of a eighty four foot building.

According to the information provided in the exercise, we be aware of that the top of a two-story establishing is 21 toes and in the scale model its top is 3 inches.

Knowing this, we can set up the following proportion: 3/21=x/84

The final step is to get to the bottom of for "x" in order to calculate its value.

Answer:

The slope of the line passing through the points [tex](-2, 2)[/tex] and [tex](-5, 5)[/tex] is equal to: [tex]-1[/tex]

Step-by-step explanation:

The slope of a line can be found with the following formula

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

Where [tex]x_2 > x_1[/tex]

Then substituting the values ​​with the given ones we have

[tex]m=\frac{y_2 - y_1}{x_2 - x_1} = \frac{2-5}{-2-(-5)}=\frac{-3}{-2+5}=\frac{-3}{3} =-1[/tex]

So the slope of the line passing through the given points is [tex]-1[/tex]

The simplest radical form of the radicals given are:

1. The simplest radical form of √175 is 5 √7.

2. The simplest radical form of √5 / 12 is √5 / 12.

First, let us understand the radical:

A radical can also be called a surd. A surd is an irrational number. We say that it is irrational because it can not be expressed as a terminating decimal.

1.

We are given:

√175

We need to write in the simplest radical form.

175 can be written as:

175 = 5 * 5 * 7

√175 = √ 5 * 5 * 7

√175 = √ 5 * 5 * √7

√175 = 5 √7

So, the simplest form of √175 is 5 √7.

2.

We are given:

√5 / 12

We need to write in the simplest radical form.

√5 / 12 is already in the simplest form.

So, the simplest form of √5 / 12 is √5 / 12.

Thus, the simplest radical form of the radicals given are:

1. The simplest radical form of √175 is 5 √7.

2. The simplest radical form of √5 / 12 is √5 / 12.

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Answer:

==========================

The given function is the combination of three lines:

The values of the function at the given points are:

Answer: 25 1/3

Step-by-step explanation:

If a population was 5000 in 2010 and grew to 6000 by 2015. What is the annual percentage rate of growth is 9.6%

The initial population was 5000

The population in 2015 is 6000

let the rate of growth be r

aₙ = arⁿ-¹

6000 = 5000 r⁵⁻¹

6000/5000 = r⁴

6/5 = r⁴

r = 1.2⁻⁴

r = 0.48

r = 48%

the annual percentage rate of growth 48/5 = 9.6

Therefore, if a population was 5000 in 2010 and grew to 6000 by 2015. What is the annual percentage rate of growth is 9.6%

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Answer:

x = 105

Step-by-step explanation:

To solve for x, we simply need to isolate it:

[tex]\frac{2}{7}x+\frac{1}{5}x=51\\ \frac{17}{35}x=51\\ x=105[/tex]

The probability of drawing the Blue 4 is an example of .R′f.E′

Red cards = 1,2,3

Blue cards =1,2,3,4,5,6

Pr(R) =  Drawing a red card = 3/9 = 1/3

Pr(B)= Drawing a blue card = 6/9 = 2/3

Pr(E) = Drawing an even card = 4/9

Pr(O) = Drawing an odd number card = 5/9

Probability of drawing the blue 4 ? = Pr(blue, 4) = 1/9

From the options

(A) R or O = Pr(R) + Pr(O)  = 1/3 + 1/9 = 8/9 ........(Not equal to 1/9)

(B) B and O = Pr(B) × Pr(O) =  2/3 × 5/9 = 10/21......(Not equal to 1/9)

(C) R or E = Pr(R) + Pr(E) = 1/3 + 4/9 = 7/9.......(Not equal to 1/9)

(D) R and O = Pr(R) + Pr(O) = 1/3 × 5/9 = 5/27.......(Not equal to 1/9)

(E) R'. E' = 1-Pr(R)-1-Pr(E) =

                1-1/3 =2/3- 1-4/9 =5/9

               2/3-5/9 = 1/9......( equal to 1/9).

Hence, the probability of drawing the Blue 4 is an example of .R′f.E′

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Disclaimer: the question given by you is incomplete, the solution is done as per a similiar question which is

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.Drawing the Blue 4 is an example of which of the following events? Select all correct answers.Select all that apply:a.R OR Ob.B AND Oc.R OR Ed.R AND Oe.R′f.E′

Step-by-step explanation:

if p(A)=0.17, p(B)=0.42 and p(AorB)=0.59, are A and B mutually exclusive

[tex] \bold{1: 3a + 2a \: = 5a}[/tex]

[tex]\bold{2: - 5b - 7b = - 12b}[/tex]

[tex]\bold{3: - a {}^{2} - 9 a{}^{2} = - 10a {}^{2}}[/tex]

[tex]\bold{4: 3a {}^{x - 2} + 5a {}^{x - 2} = 8a {}^{x - 2}}[/tex]

[tex] \bold{5: 18x - 11x = 7x}[/tex]

[tex]\bold{6: 5a - 8a + a - 6a + 21a = 13}[/tex]

The reduction of similar terms is an operation that aims to convert two or more similar terms into a single term.

In these cases you must add or subtract either addition, subtraction or subtraction and addition, using the law of signs.

[tex]\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\bold{Law \: of \: signs: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \times + = + \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \times - = - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times - = + \end{gathered} [/tex]

Answer: 4

Step-by-step explanation:  your going to divide -2 by 1 and you get 2 then add 4 and you get 6 pls give me brainliest :)

Answer:$583.93 is the original price

Answer:

25

Step-by-step explanation:

2000/4=500

500/20=25

Answer: 125

Step-by-step explanation: you see if you take your 20$ you ern of of selling a shirt then the price you buy it for 4$ then defied it by 2000$ you get 125.