Find the area of the following trapezoid.

[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]

Answer: Rs. 69

Step-by-step explanation:

Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.

Step 1:

According to the question, we get

Equation 1:

6x + 4y = 228  

Equation 2:

13x + 7y = 459  

Step 2:

Then, by multiplying equation 1 by 7 & equation 2 by 4, we get

7 * [6x + 4y = 228]

⇒ 42x + 28y = 1596 …. (iii)  

And,

4 * [13x + 7y = 459]

⇒ 52x + 28y = 1836 …. (iv)

Step 3:

Now, Subtracting eq. (iii) from eq. (iv), we get

52x + 28y = 1836

42x + 28y = 1596

(-)    (-)         (-)

---------------------------

10 x = 240

----------------------------

⇒ x = 240/10 = 24

Substituting the value of x in Eq. (1)

(6*24) + 4y = 228  

⇒ y = [228 - 144]/4 = 21

Step 4:

Thus,  

The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,

= 2x + y

= (2*24) + 21 ….. [substituting x= 24 & y = 21]

= Rs. 69

Step-by-step explanation:

Hope this helps

can i get braineist

Answer:

x<0.5

Step-by-step explanation:

Hello lzukuXKachan!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Solve 2(1 – x) > 2x.

x < 2

x < 0.5

x > 0.5

x > 2

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]2 ( 1 - x ) \gt 2 x[/tex]

Firstly, cancel out 2 from both sides of the equation. Now, the equation will be....

[tex]1 - x > x[/tex]

Now, subtract x from both sides.

[tex]1 - x - x > 0[/tex]

Combine -x & -x. It'll be one -2x.

[tex]1-2x>0 [/tex]

Again subtract 1 from both the sides. Remember :- any number subtracted from 0 will result in its negation

So, it'll be -1.

[tex]-2x>-1 [/tex]

Divide both sides by -2.

[tex]x<\frac{-1}{-2} \\ [/tex]

Remove the negative signs. (negative ÷ negative = positive)

[tex]x<\frac{1}{2} \\ = \large\boxed{ \boxed{ \bf \: x < 0.5}}[/tex]

__________________

Hope it'll help you!

ℓucαzz ッ

Answer:

m = 2/3

Step-by-step explanation:

4y = -6x + 72

y = -3/2x + 18

Negative reciprocal = 2/3

Answer:

x = 6

Step-by-step explanation:

because of the exterior angle theorem, instead of looking for the inner angle's amount, I can directly look for the other angle's amount.

so:

6x + 8 + 5x + 8 = 82

11x + 16 = 82

11x = 66

x = 6

Answer:

Step-by-step explanation:

The figure B is the scaled copy of the figure A.

The both figures are similar to each other.

The scale factor is the ratio of corresponding sides of figure B to A:

or

On figure A sides are.

On figure B sides are.

[tex]\sf\longmapsto k=\dfrac{3}{9}=\dfrac{1.2}{3.6}=\dfrac{1}{3}[/tex]

Answer:

Step-by-step explanation:

B

Answer:

a=-13

Step-by-step explanation:

-50=6a+28

isolate the a

-50-6a=28

-6a=28+50

-6a=78

divide both sides by -6

a=-13

Answer: y = 6x+3

Step-by-step explanation:

Hope this helps you!!!!!

Answer:

(x, y) = (4, 1)  

Step-by-step explanation:

I'm pretty sure this is right but please check with someone else is possible. Hope this helped!

Answer:

1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)

Step-by-step explanation:

a. 4 suits, therefore the probability is 1/4

b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13

c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52

d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.

Answer:

450g box of cereal for $4.69 is cheaper

Step-by-step explanation:

450/4.69 = 95.9488272921/1

600/6.49 = 92.4499229584/1

Answer:

ans: The line passes through the point (0,13)

Step-by-step explanation:

(0,13) is Y-intercept

Answer:

The answer is C the line passes through (0,13)

Step-by-step explanation:

Answer:

B is the correct answer.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b b b b b b b b b b b b b b b b b b b b b b b b

Answer:

70,016

Step-by-step explanation:

PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

for this problem, we have to multiply first!

1) 200 x 350 = 70000

now we have ------> 70,000 + 23 - 7

we just have to work left to right

2) 70,023 - 7

3) 70,016

let me know if you have any other questions!

Answer:

38

Step-by-step explanation:

-(5×-7-3)

-(-35-3)

-(-38)

38

Answer:

the subtrahend

I actually read it one time on wikipedia

Answer:

y=2x

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

the middle letters ttell you which corner of the triangle has that degree.

all corners added together must equal 180 in a triangle

jkl has k in the middle so k is 3°

kjl has J in the middle so J is 17°

jlm has L in the middle and is unknown

K + J + L = 180

3+17+L = 180

20 + L = 180

L = 160

Answer:160 degrees

Step-by-step explanation:

180-3-17=160

All triangles neasure 180 degrees

Answer:

The correct answer is $10,629

Step-by-step explanation:

Here is how I got it!

First, you will have to borrow the 20,000 from the word problem.

Next, multiply 20,000 with 0.81 with the power of 3

[tex]20,000*0.81^3=n[/tex]

The 3 is the number of years, n is the nearest $ answer.

--

First, do [tex]0.81^3[/tex]

[tex]0.81*0.81*0.81=0.531441[/tex]

(Wow, that's a crazy number!)

--

With 0.531441, multiply it with 20,000

[tex]20,000*0.531441=10628.82[/tex]

10,628.82 is technically (in money) $10,628.82 (with .82 being eighty-two cents).

--

Finally, it states to answer to the nearest $.

Just round up the .82 to 1 dollar which will just add one more dollar to 10,628

[tex]10,628[/tex] ⇒ [tex]10,629[/tex]

Add you $ symbol

With the result being: $10,629

Answer:

$10629

Step-by-step explanation:

First you have to work otu the percentage decrease:

100 - 19 = 81

81/100 = 0.81 (/ means divide)

Then you have to work the amount after 3 years:

Long Method

20000 x 0.81 = 16200

16200 x 0.81 = 13122

13122 x 0.81 = 10628.82

or Short Method

20000 x 0.81³ = 10628.82

Finally you round it to the nearest $:

10628.82 ⇒ 10629

Answer:

11.99

Step-by-step explanation:

Answer:

2c exponent 4 d exponent 4

Answer:

576

Step-by-step explanation:

Substitute the variables and solve.

[tex]a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576[/tex]

:)

Step-by-step explanation:

185 is to 14.8 as x is to 18.5

185/14.8 = x/18.5

x = 185(18.5)/14.8

x = $231.25