Twenty- seven times thirteen do the work

From the amounts that are given, the ratio of the earnings will be 3:2:1.

From the information, the eldest earns R270, the middle child earns R180 and the youngest earns R90.

Therefore, the common factor to the numbers will be 90. Therefore, the ratio will be:

270/90 = 3

180/90 = 2

90/90 = 1

The ratio is 3:2:1.

Learn more about ratio on:

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Answer:

66 minutes

Step-by-step explanation:

11.96 - 8 =3.96

Every 10 minutes Deon pays 60 cents because 6 times 10 = 60 and every 6 minutes Deon is paying 36 cents

10 min = 60 cents

20 min = $1.20        

40 min = $2.40

50 min = $3.00

60 min = $3.60

6 min = 36 cents

Then you do 3.60 + 36 which equals $3.96

How to figure how the minutes is just 60 + 6 = 66 minutes

Try this option:

1) vector AB=(2;3;6).

[tex](X_B-X_A;Y_B-Y_A;Z_B-Z_A); \ => (4-2;2+1;3+3); \ =>(2;3;6).[/tex]

2) |AC|=9.

[tex]|AC|=\sqrt{(X_C-X_A)^2+(Y_C-Y_A)^2+(Z_C-Z_A)^2}=\sqrt{(6-2)^2+(3+1)^2+(4+3)^2}=\sqrt{81}=9.[/tex]

Answer:

The plant will grow 15 inches in 10 months.

Step-by-step explanation:

The given information is 6 inches = 4 months, and that may not sound like much but we can get the answer just from that tidbit.

Cross multiply :

[tex]\frac{6 inches}{4 months}[/tex] = [tex]\frac{x}{10 months}[/tex]

4x = 60

Divide by 4 on both sides.

x = 15.

Therefore the plant will grow 15 inches in 10 months. Please mark brainliest! :)

Answer:

1.   x² + y² + 8x - 14y - 35 = 0

2.  x² + y² - 2x - 8y - 47 = 0

3.  x² + y² - 4x - 2y - 116 = 0

4.  x² + y² + 2x + 4y - 20 = 0

5.  x² + y² - 4x - 8y - 52 = 0

Step-by-step explanation:

General equation of a circle is:  x² + y² + 2gx + 2fy + c = 0

with center (-g, -f) and radius √(g² + f² - c)

1.  From inspection:  center (-4, 7)  and radius = √100 = 10

   Therefore, g = 4  and  f = -7

   √(4² + (-7)² - c) = 10  ⇒  65 - c = 100  ⇒  c = -35

   So,  x² + y² + 8x - 14y - 35 = 0

2.  From inspection:  center (1, 4)  and radius = √64 = 8

   Therefore, g = -1  and  f = -4

   √((-1)² + (-4)² - c) = 8  ⇒  17 - c = 64  ⇒  c = -47

   So,  x² + y² - 2x - 8y - 47 = 0

3.  From inspection:  center (2, 1)  and radius = √(11²) = 11

   Therefore, g = -2  and  f = -1

   √((-2)² + (-1)² - c) = 11  ⇒  5 - c = 121  ⇒  c = -116

   So,  x² + y² - 4x - 2y - 116 = 0

4.  From inspection:  center (-1, -2)  and radius = √25 = 5

   Therefore, g = 1  and  f = 2

   √(1² + 2² - c) = 5  ⇒  5 - c = 25  ⇒  c = -20

   So,  x² + y² + 2x + 4y - 20 = 0

5.  From inspection:  center (2, 4)  and radius = √72

   Therefore, g = -2  and  f = -4

   √((-2)² + (-4)² - c) = √72  ⇒  20 - c = 72  ⇒  c = -52

   So,  x² + y² - 4x - 8y - 52 = 0

Answer:

70% of the people surveyed were satisfied with the car.

Answer:

166

Step-by-step explanation:

:)

Answer:

m∠Z1 = 93°

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross.

They are congruent (the same as each other).

Therefore, m∠Z1 = m∠Z2, so if  m∠Z2 = 93° then m∠Z1 = 93°

The measure of ∠1 is 93 degrees

What are vertical angles ?

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are opposite each other and they share the same vertex point.

Vertical angles are always congruent.

Therefore, since ∠1 and ∠2 are vertically opposite angles this means they are congruent.  

Therefore,

∠1 ≅ ∠2

∠2 = 93°

∠1 = 93°

learn more on vertical angles here: https://brainly.com/question/10668231

Answer:

450 - 2y +1x = 300

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

6x + 42 and 18x - 6 are alternate angles and are congruent , so

18x - 6 = 6x + 42 ( subtract 6x from both sides )

12x - 6 = 42 ( add 6 to both sides )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

(4 2/7) x (11 1/4) = 48 3/14

Step-by-step explanation:

We have that the  code outputs are

Generally The Matlab Code mathematically given as

f = [0.00 3.44 6.35 8.31 9.06 8.60 7.12 4.98 2,60 0.39 -1.36 -2.48 -3.00 -3.07 -2.89 -2.68 -260 -2.68 -2.88 -3.06 -3.06 -2.76 -2.11 -1.15 0.00 1;

f_ext = [-flip(f(2:25)); f1; % odd extension of f; plot(f_ext)

N = numel(f_ext); x = linspace(-pi, pi, N)';

b = zeros(4, 1);

for k = 1:4

b(k, 1) = 1/pi • cumtrapz(x, sin(k*x) .* f_ext)(N);; % integral approximation.

end

fprintf("%.2f\n“, b) % print b to stdout

Therefore

We have outputs

For more information on Code visit

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Complete Question

The complete question is Attached below

Step-by-step explanation:

The pattern in the table:  

Tables: 1 2 3 4 5

Chairs: 5 10 15 20 25

For tables, it is adding 1 each time.

For chairs, it is adding 5 each time.

Answer:

A. ---> 4/5 + 2/3 = (12+10)/15 = 22/15

B. ---> 4/5*2/3 = 8/15

C. ---> 4/5-(-2/3) = 4/5 + 2/3 = (12+10)/15 = 22/15

Step-by-step explanation:

Answer:

4/5+2/3

4×3/5×3 +2×5/3×5

12/15 + 10/15

(12 + 10)/15

21/15

7/5

Answer:

7 9/10

Step-by-step explanation:

First, we need to add 4 2/3 and 5 2/5.

We should begin with converting the fractions into improper fractions.

4 2/3 + 5 2/5= 14/3 + 27/5

Now, we find the common denominator

= 70/15 + 71/15

We can add:

= 141/15

And simplify. 

= 9 2/5

Finally, we subtract 1 1/2 from 9 2/5

Your answer is 7 9/10. Hope this helps!

Please Mark Brainliest

Answer:

The answer is 7 9/10

Step-by-step explanation:

it is 7 9/10 because you do 4 2/3 plus 5 2/5 minus 1 1/2 which equals 7 9/10

Answer:

x=12

Step-by-step explanation:

35º+4x+7º=90º

42º+4x=90º

4x=48

x=12

Answer:

-8

Step-by-step explanation:

Use the notches to gauge where it is, see how it goes from 0 to 2 between notches on the right? Do that back on notches from 0, so 0 -> 2 -> 4 ->6 ->8!

There you go, have a wonderful day!

Answer:

  C) (square root 2)/2

Step-by-step explanation:

In quadrant III, the sine of an angle is positive. The value will be ...

  sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)

  sin(Θ) = (√2)/2

i think it would be $4530.00

Answer:

ok I am not sure (I didn't learn before)but let me try .

I think B and D are not the same b/c of there magnitude and direction and also A and C are not the same b/c of their magnitude (A:2,4 &C:-2,2)

Step-by-step explanation:

when 11 is decreased by a number, the result is 413

Answer:

The total cost of the tv is $719.95

Step-by-step explanation

Hi, to solve this problem we have to calculate the value of the discount percentage:

So:

  $849 x 0.20 = $169.8

The next step is to subtract that result to the cost of the computer.

$849 -$ 169.8=$679.2

Then, we have to calculate the sale tax.

$679.2 x 0.06= $40.752

Finally, we add the sale tax value to the cost of the tv with the discount.

$679.2+ $40.752= $719.95

The total cost of the tv is $719.95

Step-by-step explanation:

find the area of larger rectangle 14×6 =64ft

smaller 11×3=33ft larger-smaller

64-33=31ft

Answer:

Step-by-step explanation:

3/11 + 4/11 = 7/11

2/3 divided by 7/11

Multiply by reciprocal

2/3 * 11/7 = 22/21 or 1 1/21

Answer:

[tex]\frac{22}{21}[/tex]

Step-by-step explanation:

Firstly, we can see that this equation contains multiple different operators (in this case division and addition). So, we must keep in mind the order of operations. This can be remembered as PEMDAS or Paraenthasis, Exponents, Multiplication, Division, Addition, and Subtraction. When working on the problem using PEMDAS ALWAYS start from P and work your way down. PEMDAS is just used to determine the order in which a problem should be solved.

In our equation we have [tex]\frac{2}{3} / ( \frac{3}{11} +\frac{4}{11})[/tex]

So, by using PEMDAS we can see that we first need to deal with what is in the parathesis.

We can do this by adding the two fractions together, which will give us [tex]\frac{7}{11}[/tex]

We can add these together because the denominator or bottom numbers are the same.

Now we will have [tex]\frac{2}{3} / \frac{7}{11}[/tex]

Now, we can use a math trick called keep it, change it, flip it to solve for the answer.

The first fraction, 2/3, will remain the same (this is the keep it step). Then change the division to multiplication (this is the change it step). And finally, flip the numerator with the denominator of the second fraction. So 7/11 will now be 11/7.

Your equations should now be [tex]\frac{2}{3} *\frac{11}{7}[/tex]

Now solve! Multiply the numerators (top numbers) together and denominators (bottom numbers) together.

So, 2 x 11 = 22 and 3 x 7 = 21.

You should end up with [tex]\frac{22}{21}[/tex]

This number cannot be further decreased, so it is your final answer.

Hope this helps :)

Answer:-7

Step-by-step explanation:

Answer:

It looks good to me. Unless there are more steps, I think you did pretty good

Step-by-step explanation:

Answer:

see attached

Step-by-step explanation:

As I can't see the options you have to select from, I have attached my explanation for creating identities from cos^2(x) + sin^2(x) = 1.

Please comment underneath if you need more help.

The graph is not a function