Work out the area of the shaded shape.
5m
9m
11m
8m
The diagram is not drawn to scale.

Answer:

The numbers are [tex]2,12,168[/tex]

Step-by-step explanation:

Let the numbers be [tex]a,b,c[/tex]

We have

The sum of three numbers is [tex]182[/tex]

[tex]a+b+c=182-----eqn1[/tex]

The second is [tex]6[/tex] times bigger than the first

[tex]b=6a-----eqn2[/tex]

The third is [tex]14[/tex] times bigger than the second number

[tex]c=14b-------eqn3[/tex]

Substituting in eqn 3

[tex]c=14\times 6a=84a ----eqn4[/tex]

Substituting in eqn 1

[tex]a+6a+84a=182\\\\91a=182\\\\a=2[/tex]

Substituting in eqn 2

[tex]b=6\times2=12[/tex]

Substituting in eqn 3

[tex]c=14\times12=168[/tex]

The numbers are [tex]2,12,168[/tex]

The first number is a , the second number is b , the third number is c

( 0 < a < b < c )

The sum of three numbers is 182

⇒ a + b + c = 182    (1)

The second is 6 times bigger than the first

⇒ b = 6a                 (2)

The third is 14 times bigger than the second number

⇒ c = 14b = 14.6a = 84a               (3)

(1),(2),(3): ⇒ a + 6a + 84a = 182

              ⇒ 91a = 182

              ⇒ a = 2

              ⇒ b = 6a = 6.2 = 12

              ⇒ c = 14b = 14.12 = 168

Those numbers are 2 , 12 , 168

ok done. Thank to me :>

Answer:

it simple there nothing there Step-by-step explanation:

Answer:

x = 17

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

170 years

Step-by-step explanation:

R/100=2.5%

time= 100=0.025 per year (1/0.025) (5200\1000)-1=168

time=168 years

Answer: 7.7 years

Step-by-step explanation:

Total amount = Principle + Interest = 5200 + 1000 = 6200

A = P(1 + rt)

6200= 5200[1+(0.025)(t)]

6200=5200+130t

-130t=5200-6200

-130t=-1000

t=100/13

t= 7.7 years

Answer: i took the test its number 555555

Step-by-step explanation:

Answer:

(1,4)

Step-by-step explanation:

It was either (1,3) or (1,4) but there was no (1,3) so (1,4).

Hopes This Helps :)

Answer:

110

Step-by-step explanation:

150*5=750

750+2000=2750

2750/25=110

Answer:

The number is 110

Explanation:

To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110

Step by step:

150×5= 750

=> 750+2000= 2750

2750÷25= 110

Answer:

you're right, keep it up! you're very smart

Answer:

To get the same total number of slices of each type of cake, the answer must be the LCM (lowest common multiple) of 7 and 9.

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90...

As you can see so far, 63 is the lowest common multiple of both 7 and 9.

Thus, the answer is 63

Answer: 63 ( but give the person above me brainliest because they explained it better )

Step-by-step explanation:

If the cakes have the same amount of slices then we must find the lowest common multiple which is 63

So both cakes have 63 slices

Answer:

A.32

Step-by-step explanation:

[tex]\text{Given that,}\\\\ab = 8 ~ \text{and}~ a^2 +b^2 = 35\\\\\text{Now,}\\\\(a-b)^2 = a^2 +b^2 -2ab\\\\\implies (a-b)^2 =35 - 2 (8) \\\\\implies (a-b)^2 = 19\\\\\implies a-b = \pm\sqrt{19}\\\\\text{Case 1:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = 19 \left(\sqrt{19}\right)\\\\\text{Case 2:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = -19 \left(\sqrt{19}\right)[/tex]

Answer:

4

Step-by-step explanation:

2x5=10

5-1=4

2(4+1)=10

I can't see it can you retake the picture please so I can try to help if I know it?

Answer:

15x - 3y

Explaination:

Adding 7x and 8x will give you 15x and the -3y doesn't need to be added up.

I hope this helps you.

Answer

16 mushroom pizzas

Hence, 'b = -9' is the answer.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Based on the cost of the calculator, the discount, the shipping fee, and the tax, the total cost of the purchase was a. $80.07

The cost of the calculator was:

= Cost of calculator x ( 1  - discount)

= 83 x ( 1 - 15%)

= $70.55

The sales tax would be:

= 70.55 x 4.5%

= $3.17

The total cost would be:

= Cost + Sales tax + Shipping fee

= 70.55 + 3.17 + 6.35

= $80.07

In conclusion, the total is $80.07.

Find out more on such at https://brainly.com/question/11239587.

Answer:

thanks

Step-by-step explanation:

Answer:1- $52 {40+12(1)=}

5- $100 {40+12(5)=}

10 - $160 {40+12(10)=}

50 - $640 {40+12(50)=}

Step-by-step explanation:

Volume of a cylinder=

[tex]\pi \: {r}^{2} h[/tex]

Radius=84÷2=42

Volume=22/7×42²×150=831 600 cm³

Answer:

Simon:         55     hours

Alvin:           70     hours

Theodore:  159   hours

Total:         284  hours

Step-by-step explanation:

Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.

We are told that:

A = S + 15,

T = 3S - 6

and

A + S + T = 284

Note that the first two equations state the value of A and T in terms of S.  Let's use them in the third equation, so that we'll have only one unknow:

A + S + T = 284

(S + 15) + S + (3S - 6) = 284

5S + 9 = 284

S = 55

Now use this value of S in the first two equations to find A and T:

A = S + 15

A = 55 + 15

A = 70

T = 3S - 6

T = 3*55 - 6

T = 159

(55 + 70 + 159) = 284

Answer:

(x-6)(x+5)^2 - 50

The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

One example of a function that has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity is:

[tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant that ensures the function continues to negative infinity and positive infinity.

To find the value of k, we can use one of the intercepts, say (5, 0):

0 = k / (5² - 25)

0 = k / 0

This tells us that k can take any value, as long as the denominator is not zero. So, we can choose any non-zero value for k.

For example, let's choose k = 1:

[tex]f(x) = 1 / (x^2 - 25)[/tex]

This function has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity.

Thus,

The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer: 60%

Step-by-step explanation:

39/65 = 3/5 = 60%

Answer:

60%

Step-by-step explanation:

65 seats in total = 100%

divide by 65 on both sides to get 1 seat

1 seat=1.54

times by 39

39 seats=60%

Answer:

To balance the interests of both the small and large states, the Framers of the Constitution divided the power of Congress between the two houses. Every state has an equal voice in the Senate, while representation in the House of Representatives is based on the size of each state's population.

Step-by-step explanation:

Answer:

X = 7

Step-by-step explanation:

∣ x + 1 − x 2 ∣ = 6

∣ -x + 1 ∣ = 6

-7 + 1 = -6

Absolute value of -6 is 6

x = 7

The value of x for the expression is equal to 7.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of x is solved as,

∣ x + 1 − x 2 ∣ = 6

∣ -x + 1 ∣ = 6

-7 + 1 = -6

The absolute value of -6 is 6

x = 7

Therefore, the value of x for the expression is equal to 7.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

23

Step-by-step explanation:

180/15 = 276/x

12 = 276/x

12x = 276

x = 23

Percent Change = (new quantity - old quantity) / old quantity

#2:

(64 - 52) / 52

12 / 52

0.2308

23%

#4:

(12 - 18) / 18

-6 / 18

-0.33

33% decrease

#5:

(10 - 16) / 16

-6 / 16

-0.375

38% decrease

Hope this helps! :)