Find the quotient of `((5+2i)(6-4i))/((2+i))`, and express it in the simplest form.

Answer:

2/16

Step-by-step explanation:

Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.

probability=desired chances/total chances

=2/16

The probability that Arya gets blue on both spinners is 2/16.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .

we get 1 + 1 = 2.

The probability that Arya gets blue on both spinners

= desired chances/total chances

=2/16

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

A 5cm

Step-by-step explanation:

The others answers would be either too big or too small to fit

Answer:

Solution,

Let the age of sister be X

Let the age of boy be 2x

Now,

Five years ago,

[tex]3(x - 5) = 2x - 5 \\ or \: 3x - 15 = 2x - 5 \\ or \: 3x - 2x = - 5 + 15 \\ x = 10[/tex]

Again,

Replacing value,

[tex]age \: of \: boy = 2x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 10 \\ \: \: \: \: \: \: \: \: \: \: \: = 20[/tex]

hope this helps..

Good luck on your assignment..

Answer:

the answer for this question is D

Answer:

Correct answer is actually B

Step-by-step explanation:

I used someone’s answer with their work shown for my test

Answer:

X=3

Step-by-step explanation:

since the 3 on the X-Axis is marked and not 3 on the Y-Axis

Answer:

A. -1 1/3

Step-by-step explanation:

I am assuming you want to find the number that is farthest to the right of all 4 possible choices. In that case, the bigger the negative number, the farther left it is on the number line. The smaller the negative number, the farther right it is on the number line.

Answer:

11

Step-by-step explanation:

all you gotta do is subtract q3 from q1, in this case it's 15-4=11

Answer:

A plate costs £4

Step-by-step explanation:

Let us represent the cups by c and the plates by variable p

Thus mathematically from the statements;

2c + 3p = 18. ••••••• (i)

secondly

5c + p = 19 •••••••••(ii)

so we want to find the value of p

Let’s multiply equation i by 5 and ii by 2

we have;

10c + 15p = 90

10c + 2p = 38

Now subtract equation ii from i

13p = 52

p = 52/13

p = 4

Answer:

6 6/11 km

Step-by-step explanation:

8 = 0.55x

160/11=x

160/11-8=6 6/11 km

Answer:

-4.0

Step-by-step explanation:

I took the quiz

Answer:

<K = 34.8°

Step-by-step explanation:

sin K = 4/7

K = [tex]sin^{-1}[/tex] (4/7)

<K = 34.8°

Answer:

(n+5)(n-5)

So,the correct answer is B

I hope this help you :)

Answer:

the second one

hope this helps

Step-by-step explanation:

(n-5) (n+5)

one has to be positive and the other negative so that whe multiplied it equals -25

Answer:

[tex]40[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number.

[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]

[tex]\frac{9}{20} x=18[/tex]

[tex]x=18 \times \frac{20}{9}[/tex]

[tex]x=40[/tex]

If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40

Let the given number be represented by x

One-fourth of the number = x/4

One-fifth of the same number = x/5

One-fourth of the number is added to one fifth of the same number =

x/4  +  x/5  

The result is 18

This can be represented mathematically as:

x/4  +  x/5     =  18

Simplifying the equation above

(5x + 4x)/20  =  18

Cross multiply

5x +  4x  =  18(20)

9x  =  360

x   =  360/9

x   =  40

The number = 40

Learn more on word problem here: https://brainly.com/question/21405634

Answer:

[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent

Step-by-step explanation:

Statements,                                                Reason

[tex]\overline{AC}[/tex] bisects ∠BCD,                                      Given        

[tex]\overline{DC} \perp \overline{AD}[/tex]                                                    Given

∠CDA ≅ ∠CBA                                           Right angles are ≅

[tex]\overline{AC} \cong \overline{AC}[/tex]                                                     Reflexive property

ΔACD ≅ ΔACB                                           Hypotenuse Leg (HL) congrurency

[tex]\overline{BC} \cong \overline{DC}[/tex]                                                    CPCTC

Where:

CPCTC = Corresponding parts of Congruent Triangles are Congruent

⊥ = Perpendicular to

≅ = Congruent

∠ = Angle

Δ = Triangle.

Answer:

a) Negative linear; b) about 48

Step-by-step explanation:

a) Type of correlation

The graph shows a negative linear correlation.

b) Prediction

It looks like a student who makes 60 in Math would make about 48 in English.

Answer:

1) Negative Correlation

2) 48

Step-by-step explanation:

To find the English mark you need to find 60 and then go up to the line. This will more or less be equal to 48.

Answer:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Step-by-step explanation:

Take a look at B:  4a^2 - 10 a + 25.  The square roots of 4a^2 and 25 are 2a and 5 respectively.  Does (2a - 5)^2 come out to 4a^2 - 10a + 25?  No.

Take a look at C:  25b^2 - 5b + 10  We know this is not a perfect square trinomial because 10 is not a square.

D:  16x^2 - 8x + 1:  both 16x^2 and 1 are perfect squares, so we have:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Answer:

i might be 25

Step-by-step explanation:

Answer:

92°

Step-by-step explanation:

Answer:

The triangles are similar by the AA similarity postulate

Step-by-step explanation:

The only thing we know is that the three angles are the same

70+30 +80 = 180 so the missing angle in each triangle is  80  in the first and 70 in the second

The triangles are similar by the AA similarity postulate

Answer:

3/4 of a hour

Step-by-step explanation:

2 miles  = 0.5 hours

Divide by 2

1 mile = 0.25 hours

Multiply by 3

3 mile = 0.75 hours

Answer:

45 minutes or .75 of an hour or 3/4 of an hour

Step-by-step explanation:

if you walk 2 miles in a half-hour (30 minutes) , how long will it take to walk 3 miles. Well the answer is simple, we need to use proportions to solve it though. For example:

[tex]\frac{miles}{hours}[/tex]   =    [tex]\frac{2}{.5}[/tex]

therefore, half of .5 is .25

so for someone to complete 1 mile, it takes .25 of an hour. .25 of an hour is 15 minutes. Therefore, the correct simplified proportion is : [tex]\frac{1}{.25}[/tex]

Now we need to find out what the denominator (bottom number/time) would be when the numerator (top number of the fraction) is =3.

Since we have the simplified version as a 1, we can just multiply .25 by 3 which is .75, and .75 of an hour is 45 minutes. Therefore the answer is 45 minutes.

Answer:

Area: 42 cm²

Perimeter: 28.4 cm

Step-by-step explanation:

Simply plug in 4.2 cm for x into x + 5.8 to find the width. You width should be 10.

Area: Multiply 10 by 4.2 and you should get 42

Perimeter: Add up all the sides together (4.2 x 2 + 10 x 2) and you should get 28.4

Answer:

The area of a rectangle is length times width.

First recall the answer gives you x=4.2 for the eqaution x+5.8 and for the length.

Input that into the rectangle´s area formula.

(4.2)(4.2+5.8)

(4.2)(10)

=42 units^2.

Now to find the perimeter you need to add all the sides. We have two lengths and two widths.

4.2+4.2+10+10

= 28.4

Step-by-step explanation:

If you want more explanations then Khan academy is a great source.

Answer:

5,004,300

Step-by-step explanation: Its just how you do it

Answer:

67

Step-by-step explanation:

67 bcz

Answer:

67

Step-by-step explanation:

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

The coordinates of rectangle ABCD are;

A = (-6, -2)

B = (-3, -2)

C = (-3, -6)

D = (-6, -6)

The coordinates of the image are;

A' = (-10, 1)

B' = (-7, 1)

C' = (-7, -3)

D' = (-10, -3)

We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3

For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3

For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3

For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3

Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

Answer:

£ 14430

Step-by-step explanation:

Costing price = £13000

Increase = 11% of 13000

=> 11/100 × 13000

=> 11 × 130

=> £ 1430

Increased Price = 13,000+1430

=> £ 14430

Answer:

B

Step-by-step explanation:

Let's solve 12x + 7 < -11.

12x < -18

x < -3/2

Solving 5x − 8 ≥ 40 we get:

5x ≥ 48

x ≥ 48 / 5

Since it says AND, the answer is no solution.

Answer:

First seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Step-by-step explanation:

Given recursive rule aₙ = a ₙ ₋ ₁ + 3

a1 = 10

[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]

Thus, first seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Answer:

(x - 10)(x - 3)

Step-by-step explanation:

You have to think of numbers that multiply up to 30 and add up to 13. So you eliminate the numbers down to 10 and 3, because you can add up to 13 and multiply to 30. Now you have to find how it adds up to negative 13 and multiply it to postive 30. 2 negatives make a positive when multiplying, and 2 negatives added together make another negative, so your roots are 10 and 3. Put that into factored form and you have (x - 10)(x - 3).

Alternatively you can either graph to find its zeros or guess-and-check.

Answer:

20

Step-by-step explanation: