Select the correct answer.
What is the value of this expression?
(6 + 7i) - 4i(6 + 5i)
-14 + 17i
26 + 17i
26 - 171
-14 - 17i

Answer:

Equation: x/-9 = 16

Solution: x = -144

Step-by-step explanation:

The "number x divided by -9 is 16" means x/-9 = 16, then we solve for x by multiplying both sides by "-9" to solve for x

x/-9 = 16

-9x/-9 = 16(-9)

x = -144

Answer: 954

Step-by-step explanation:

9x106 = 954

Answer:

20 coins

Step-by-step explanation:

[tex]\frac{5}{\frac{25}{100} }[/tex] = 20

Answer:

[tex]\huge\boxed{\sf Total\ collection = 20\ coins}[/tex]

Step-by-step explanation:

25% of the collection = 5 coins

So,

100% = 25% + 25% + 25% + 25%

100% = 5 + 5 + 5 + 5

100% = 20 coins

[tex]\rule[225]{225}{2}[/tex]

The equation that represents the number of weeks that is needed to baby sit to buy gaming chair is 35.5w + 136.45 = 455.95; w = 9  , the correct option is (b) .

In the question ,

it is given that

the cost of the gaming chair = $455.95

amount of money already saved for the gaming chair = $136.45

amount of money earned by baby sitting each week = $35.50 .

let the number of weeks required to baby sit is " w  " .

the equation can be represented by

cost of chair = money saved + money earned in w weeks

Substituting the values from above ,

we get

455.95 = 136.45 + 35.5w

On solving further ,

136.45 + 35.5w = 455.95

35.52w = 455.95 - 136.45

35.52w = 319.5

w = 319.5 / 35.52

w = 8.99

w ≈ 9

the number of weeks = 9

Therefore , The equation that represents the number of weeks that is needed to baby sit to buy gaming chair is  35.5w + 136.45 = 455.95; w = 9  .

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In the triangle Point C is the orthocenter then the value of x will be equal to 42.

The intersection of the cutting point of the triangle's three elevations is known as the orthocenter. The height in this instance is indeed the line to be drawn from the triangle's apex that is perpendicular to the other side.

As per the given diagram and data in the question,

The orthocenter is at Point C.

C = 3x - 36

3x - 36 = 90

3x = 90 + 36

3x = 126

x = 126/3

x = 42

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Answer:

Well 5 candy bars with 12 sections would make 60 sections to divide among the 3 friends. (5 multiplied by 12)

60 sections divided by 3 friends is 20 sections each.

20/1

Giant one method: It is the method in which we multiply any fraction and we get an equivalent fraction.

For example:

1/2 x 1 (giant one) can also be written as:

=> 1/2 x 8/8

=> 8/16

It is also the method in which we divide any fraction and we get an equivalent fraction.

For example:

21/30 ÷ 1 (giant one) can also be written as:

=> 21/30 ÷ 3/3

=> 7/10

Solving the question:

2/1 ÷ 3/11

Solving this we get

=> 2 x 11/3 = 22/3

Multiplying giant one (1) through the giant one method.

=> 22/3 x 1 (giant one)

Multiplying both numerator and denominator by 3.

=> 22/3 x 3/3

=> 66/9

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Answer: 6.88 cm sq.

1. Find the area of the rectangle

A=l *w

L=8cm

the width=the radius of the semicircle

Width=8/2=4

8*4=32

A=32cm sq

2. find area of the semicircle

area=pi times the radius squared divided by 2

r=4cm

A=(3.14)*4^2/2. The area =25.12 cm sq.

Area of the shaded region=32-25.12=6.88cm sq.

The amount Stefan spent originally to buy the bike is; $100.91.

The amount Stefan made in profit by selling the bicycle and helmet to Jin is; $10.09.

According to the task content;

Stefan sold the bicycle and helmet for a total of;

104 + 17 = $111.

Also, since the total cost ($111) for Jin is 110% of what Stefan spent to buy the bicycle and helmet, x originally; we have

110% × x = 111

x = (111 × 100) / 110

x = $100.91.

Therefore, Stefan spent $100.91 originally to buy the bike and helmet.

Consequently, the money Stefan made by selling the bicycle and helmet to Jin is; 111 - 100.91 = $10.09.

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Answer:

2 hours 110

Step-by-step explanation:

Answer:

xy

Step-by-step explanation:

if you take xy out of xy^2z it will become yz

if you take you xy out of xy it becomes 1 so this is the greatest factor

(please tell me if i got any digits wrong i assumed some were exponets)

hopes this helps please mark brainliest

Answer:

1. x² 2. x

Step-by-step explanation:

For these problems, there actually pretty easy. What you do is the numbers like x2 are x times 2. So, like if x is 3, it would be equal to 6 because 3 times 2 is 6. Easy, right?

But this time, it is asking you for GCF. It's harder, but it will be easy after you understand it.

#1

So, it organizes the equation. So x2 gets simplified to x times 2. x*2 is double the amount. x + y and x - z. Take the x's that is 2 x's. So x2. Then y and z which are unknown has the value left. And 1 more thing. Since there is no operation, it turns in to times/multiply. Please don't ask why. Ask it in a new question. So you can cross them off and multiply x2 with y times z. The equation now is basically x2 y times z). y times z. Again, the numbers are unknown. So you need to count them as zero. Add 2 zero's together is 0. Add x2 to 0. Which is x2.

You can now do problem 2 by yourself after you read the explanation. Remember, your answer isn't always like this type of explanation. Some one's work, try this for all your problems related. See if it works.

Therefore, the GCF of x2(x + y) (x - z) is x2

Answer:

-28

Step-by-step explanation:

Isolate m in the equation first: m = 12 / (-3/7)

Simplify and solve: m = -84/3 = -28

Answer:

-28

Step-by-step explanation:

3/7=0.4285714285714

0.4285714285714 × 28 equals 11.99 which is estimated to 12.

The number of beads needed to make both pair of earrings is 3090.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The diameter of first circle is 10 cm.

The diameter of second circle is 4 cm.

And, the area covered by 35 beads is 1 cm².

Now, the area of first and second circle is given by substituting the diameters in the expression for area  πD²/4 as,

Area of the first circle = (π × 10²)/4

                                    = 25π cm².

Area of the second circle = (π × 4²)/4

                                          = 4π cm²

The total area is 25π + 4π = 29π cm².

Now, the number of beads can be determined using the unitary method as below,

Number of beads for 1 cm² area is 35.

So, the beads for 29π cm² area is 35 ×  29π = 3090.

Hence, the number of beads required for both the circles is 3090.

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Answer:

x = 4

Step-by-step explanation:

4x+8 = 6x

6x-4x = 8

2x = 8

2/2 x = 8/2

x = 4

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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9. The plane's speed would be of 340 and 350 miles per hour.

10. She runs the downhill portion of the course at a rate of 10 miles per hour.

11. The total time would be of 24 minutes.

Velocity is distance divided by time, hence the equations is:

v = d/t.

For the first plane, the velocity and the distances are given by:

v = v + 10, d = 495.

Hence:

v + 10 = 495/t

t = 495/v + 10

For the second plane, the velocity and the distance are:

v = v, d = 510.

Hence:

v = 510/t

t = 510/v

The time is equal, hence the velocity of the slower plane is obtained as follows:

495/v + 10 = 510/v

Applying cross multiplication:

510v + 5100 = 495v

15v = 5100

v = 5100/15

v = 340 mph

For the runner, we have two parts, as follows:

Hence the equations are given as follows:

From the first equation, we have that:

v = 5 + 3/t.

Replacing in the second, we have that:

5 + 3/t = 4/(1 - t)

(5t + 3)/t = 4/(1 - t)

Applying cross multiplication, we have that:

(5t + 3)(1 - t) = 4t

-5t² + 2t + 3 = 4t

5t² + 2t - 3 = 0.

The positive solution, as time is a positive measure, of the quadratic equation is given by:

t = 0.6.

Hence the velocity of the downhill part is given by:

v = 4/(1 - t) = 4/0.4 = 10 miles per hour.

The together rate is the sum of each separate rates.

The rates in this problem are given as follows:

Hence:

1/x = 1/30 + 1/120

1/x = 5/120

x = 120/5

x = 24 minutes.

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The graph g has a minimum value at it's vertex, (3, -1).

What is vertex?

The point where a parabola's line of symmetry intersects with the parabola itself is known as the vertex. The vertex of a parabola whose equation is given in standard form will be the lowest point on the graph and the highest point on the graph depending on certain conditions.

The given graph g is a upward parabola.

Since the upward parabola having a minimum value at it's  vertex.

And the downward parabola having a maximum value at it's vertex.

Here, the vertex of the upward parabola is, (3, -1).

Therefore, the minimum value of g is, (3, -1).

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Answer:

D. x = -10

Step-by-step explanation:

2x + 4 = x - 6

combine like terms

1x = -10

-10

The possible value a using common factor is -6.

What is factors of the expression?

A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in a product, then the numbers we are multiplying are factors of the product because the product is divisible by them.

Here the given expression is,

=> [tex]x^2-5x+6=x^2-2x-3x+6[/tex]

=>x(x-2)-3(x-2)

=>(x-2)(x-3)

For the pair of polynomial have a common factor, 2 or 3 must be a root of the second polynomial.

If 2 is root then,

=> [tex]x^3-6x^2+11x+a[/tex] = 0 for x=2

=>8-24+22+a=0

=>6+a=0

=>a=-6.

If 3 is root then,

=> [tex]x^3-6x^2+11x+a[/tex] = 0 for x=3

=>27-54+33+a =0

=>6+a=0

=>a=-6.

Hence the possible value of a is -6.

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The completion of the ratios, resulting from the square feet occupied by Departments A and B, and the amounts of allocated overhead costs to the two departments are as follows:

                           Ratio      Amount

Department A     0.25       $25,000

Department B     0.75      $75,000

Ratios show the relative values or proportions of the whole shared by two or more numbers.

Ratios are fractional values like proportions and are depicted in fractions, decimals, and percentages.

Total distributable overhead = $100,000

Ratios = 25,000:75,000

= 25:75

= 5: 15

= 1:3

Sum of Ratios = 4

OR

= 0.25:0.75

Sum of Ratios = 1

Department   Square Feet  Ratio    Amount of Overhead Allocated

Dept. A            10,000         A = 1      B = $25,000 ($100,000 x 0.25)

Dept. B            30,000        C = 3     D = $75,000 ($100,000 x 0.75)

Thus, based on the cost driver ratios, Department A bears $25,000, while Department B will be allocated $75,000 of the allocated overhead costs.

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The average rate of change of the function h(x) = - x² + x + 4 is equal to 22 / 5.

In this problem we find the definition of a function and its interval regarding an average rate of change. Graphically speaking, the average rate of change of the function over an interval is represented by the slope of a secant line that passes through two function points related to the interval limits.

The average rate of change is represented by the following formula:

m = [h(b) - h(a)] / (b - a), for a ≤ x ≤ b

If we know that h(x) = - x² + x + 4, a = - 1 and b = 4, then the average rate of change is:

m = [h(4) - h(- 1)] / [4 - (- 1)]

m = [h(4) - h(- 1)] / 5

m = (- 4² + 4 + 4 + (- 1)² - (- 1) - 4) / 5

m = (17 + 5) / 5

m = 22 / 5

The average rate of change is equal to 22 / 5.

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Answer:

the second answer

Step-by-step explanation:

Answer:

This is an exponential function because there is a common ratio in the balance between the months.

Step-by-step explanation:

If we look at the first and second month of balance, we can see that the difference is 360. If we multiply that by 5, it equalls 1800. If we subtract 5270--3600, it equals 1670, meaning that there is not a linear function, nor a common difference, meaning that the second answer would be correct.

The area of square EFGH is 68 square centimeters

The area of a geometric shape or figure is the area enclosed in its boundary.

Please find attached a possible drawing of the information in the question

The area of square ABCD = 100 square centimeters

Length of segment AE = 2 cm

Therefore;'

The side length of the square ABCD, s = √(100) = 10

The length of segment AB = 10 cm

AB = AE + EB (segment addition postulate)

10 = 2 + EB (substitution property of equality)

EB = 10 - 2 = 8

EB = 8 cm

∠CFG ≅ ∠AHE (alternate interior angles)

ΔCFG ≅ ΔAHE (ASA congruency postulate)

Similarly; ΔEBF ≅ ΔHAE (ASA congruency postulate)

BF = AE (CPCTC) = 2

[tex]\overline{EF}=\sqrt{\overline{EB}^2 +\overline{BF}^2}[/tex](Pythagorean theorem)

Therefore;

EF = √(8² + 2²) = √(68)

EF = √(68)

Area of a square = (Length of one side)²

Therefore, area of square EFGH = [tex]\overline{EF}^2[/tex]

Which gives; Area of square EFGH = (√(68))² = 68

The area of square EFGH is 68 square meters

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Answer:5/2

Step-by-step explanation: Slope is rise (how far up or down) over run (how far left to right. Look for points where the line crosses a perfect grid line intersection. The graph goes up to 50 and right 20 (started at 10 and ended at 30). The rise/run is 50/20 or 5/2 reduced.

first, find two places on the line that intersects the grid boxed neatly. This occurs at (10 , 0) and (30 , 50).

slope = change in rise / change in run

slope = change in y / change in x

slope = ( 0 - 50) / (10 - 30)

slope = -50/-20

slope = 50/20

slope = 5/2

1/5x+8=1/10x+9.

We move all terms to the left:

1/5x+8-(1/10x+9.)=0

The domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

Domain of the equation: 10x+9.)!=0

x∈R

We add all the numbers together, and all the variables

1/5x-(1/10x+9)+8=0

We get rid of parentheses

1/5x-1/10x-9+8=0

We calculate fractions

10x/50x^2+(-5x)/50x^2-9+8=0

We add all the numbers together, and all the variables

10x/50x^2+(-5x)/50x^2-1=0

We multiply all the terms by the denominator

10x+(-5x)-1*50x^2=0

Wy multiply elements

-50x^2+10x+(-5x)=0

We get rid of parentheses

-50x^2+10x-5x=0

We add all the numbers together, and all the variables

-50x^2+5x=0

a = -50; b = 5; c = 0;

Δ = b2-4ac

Δ = 52-4·(-50)·0

Δ = 25

The delta value is higher than zero, so the equation has two solutions

We use the following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=25−−√=5

x1=−b−Δ√2a=−(5)−52∗−50=−10−100=1/10

x2=−b+Δ√2a=−(5)+52∗−50=0−100=0

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Answer:

95,189

Step-by-step explanation:

98x972-67

95256-67

95189

Answer:95189

Step-by-step explanation:  First you ave to multiply 98 x 972 which  would equal to 95256 ten subtract 67 which would give you the answer 95189

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -3}{2}~~~ ,~~~ \cfrac{ y -6}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(1~~,~~-4)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -3}{2}=1\implies x-3=2\implies \boxed{x=5} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -6}{2}=-4\implies y-6=-8\implies \boxed{y=-2}[/tex]

Answer:

20.44 km

Step-by-step explanation:

The values are,

→ 730 m = 0.730 km

→ 4 weeks = 28 days

Now Barry swam in 28 days is,

→ 0.730 × 28

→ 20.44 km

Hence, answer is 20.44 km.

Answer:

Step-by-step explanation:

is enough to think it will work with the new system but not the new one that is already working on the old one