Solve the following problems using equations. Show your working steps clearly.

1. Four years ago, the age of Paul was twice that of John. John is 18 years old now. How old is Paul now?

2. Five bottles of milk cost $4.4 more than four bottles of juice. If one bottle of milk costs $3.2, find the cost of one bottle of juice.

3. Miss Cheung spends 1/8 of her savings on personal ornaments and 5/6 on clothing. If her savings still has $130 left, find the original amount of her savings.​

Answer: C. 1.44

Step-by-step explanation:

Each number gets multiplied by 2, so it's an exponential series in a way.

You must multiply .72 by 2 to get 1.44.

Answer:

1 1/4

Step-by-step explanation:

25/20=5/4=1 1/4

Hope this helps, thanks!

Answer:

(a)

sin²A×cos²A+sin⁴A

we will take sin²A as an common factor

so it become

sin²A×(cos²A+sin²A)

sin²A+cos²A=1

sin²A×1=sin²A

(c)

sinA×cotA

cotA= cosA/sinA

sinA×cosA/sinA=cosA

(e)

(1+sinA)²-(1-sinA)²

(a+b)²=a²+b²+2×a×b

(a-b)²=a²+b²-2×a×b

1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)

1+sin²A+2sinA-1-sin²A+2sinA=4sinA

(g)

(cosec²A-1)/cosec²A

cosecA=1/sinA

1/sin²A-1/1/sin²A

(1/sin²A-1)×sin²A

1-sin²A

1=sin²A+cos²A

sin²A+cos²A-sin²A=cos²A

(i)

sqrt(1+tan²A)×sqrt(1-cos²A)

1+tan²A=

1+sin²A/cos²A=

sin²A+cos²A/cos²A

sin²A+cos²A=1

=1/cos²A

1-cos²A

1=sin²A+cos²A

sin²A+cos²A-cos²=sin²A

sqrt(1/cos²A)×sqrt(sin²A)

1/cosA×sinA=sinA/cosA=tanA

have a great day

Answer:

tea

Step-by-step explanation:

just cuz lol

Answer:

Gin

Step-by-step explanation:

Answer:

x=6, x= -5

Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

Step-by-step explanation:

[tex] {x}^{2} - x - 30 = 0[/tex]

➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]

➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]

➡️ [tex](x + 5) \times (x - 6) = 0[/tex]

➡️ [tex]x + 5 = 0[/tex]

➡️ [tex]x - 6 = 0[/tex]

➡️ [tex]x = - 5[/tex]

➡️ [tex]x = 6[/tex]

➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]

Answer:

95

Step-by-step explanation:

you can watch answer in photo. by the way where r u from?

Answer:

I hope it helped U

stay safe stay happy ❤️❤️

Answer:

8/3 or 2.6667

Step-by-step explanation:

when you divide fractions you use a technique called KCF

K = keep

C = change

F = flip

You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]

you keep [tex]\frac{2}{3}[/tex]

you change the symbol, so from ÷ you change it to x

and flip the last fraction, so you would have  [tex]\frac{4}{1}[/tex]

then you solve it

[tex]\frac{2}{3}[/tex] x  [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]

The result of 2/3 divided by 1/4 in simplest form is 8/3 .

Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.

Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].

Division of fractional terms:

[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]

Apply, division process of fractional terms.

[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]

[tex]= \frac{8}{3}[/tex]

Know more about division,

https://brainly.com/question/29775887

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Answer:

x=12

Step-by-step explanation:

2x-15 + 2x-6 = 15

4x = 36

x = 9

2 x 9 - 6 = 12

[tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Step-by-step explanation:

[tex](12 {m}^{7} - 36m) \div 6m[/tex]

➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]

➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]

➡️ [tex](2 {m}^{7} - 6m)m[/tex]

➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Answer:

Step-by-step explanation:

The unknown number is reflected as n.

The sum of 5 and four times a number is 32:

Four less than the square of a number is 12:

The product of 3 and four more than a number is 20:

Answer:

157.5

Step-by-step explanation:

14×180/16

= 315/2

= 157.5

Answer:

Step-by-step explanation:

16 sides  

n-2=14

14x 180 = 2250

2250/16 =157.5 = 158

Answer:

Here is your answer . Hope this is helpful to you.

Answer:

Option B is correct

Step-by-step explanation:

Let the number be x

Second number = x + 1

Sum = 85

x + x + 1 = 85

2x + 1 = 85

2x = 85 - 1

2x = 84

x = 84/2 = 42

Numbers are 42 and 43

Answer:

B) x+(x+1)=85

Step-by-step explanation:

Consecutive means in a row

Let x be the first integer

x+1 is the next integer

x+x+1 = 85

Answer:

x = 3

13 miles between Madison and Jamie's house.

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.

(3x + 2) + (3x + 4) = 9x - 3

Let's add up the terms first

3x + 2 + 3x + 4 = 9x - 3

6x + 6 = 9x - 3

Let's move the variables to the right side by subtract 6x from both sides

6x + 6 = 9x - 3

-6x         -6x

6 = 3x - 3

Add 3 to both sides

6 = 3x - 3

+3        +3

9 = 3x

Isolate the variable, x, by dividing both sides by the coefficient, 3.

9/3 = 3x/3

x = 3

Now we need to find the distance between Madison's and Jamie's house.

3x + 4

Plug in 3 in place of the x

3(3) + 4

9 + 4 = 13

Answer:

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.

Answer:

Step-by-step explanation:

Answer:

(x+y+5)(x-y+1)

Step-by-step explanation:

factor by grouping

x^2+6x+5-4y-y^2

x^2+6x+9 - (y^2+4t+4) + 5-9+4

(x+3)^2 - (y+2)^2

(x+3+(y+2))(x+3-(y+2))

(x+y+5)(x-y+1)

Answer:

x = 4

y = 36

Step-by-step explanation:

use substitution

y=3x+24

y=9x

therefore . 9x=3x+24

x = 4

sub 4 in for x and solve for y

y = 9(4) = 36

Answer:

10 3/5

Step-by-step explanation:

6 4/5 + 3 4/5

First convert to improper fraction,

34/5 + 19/5

Then add the improper fractions,

=>53/5

Then convert improper fraction to mixed fraction,

=> 53/5 = 10 3/5

Answer:

8/3

Step-by-step explanation:

Let x represent the number.

Create an equation to represent the situation, and solve for x:

3x - 2 = 6

3x = 8

x = 8/3

So, the number is 8/3.

k/3 + 4 - 5k = -2k / · 3

k + 12 - 15k = -6k

k - 15k + 6k = -12

-8k = -12 / : (-8)

k = 12/8

k = 3/2 ← the end answer

Answer: A)

Answer:

3x + 9

Step-by-step explanation:

(2x + 5) + (x + 4)

Distribute the + to all numbers/variables

2x + 5 + x + 4

Combine like terms:

2x + 5 + x + 4

3x + 5 + 4

3x + 9

Hope this helped.

Answer:

0.006 is the larger decimal

Answer:

0.006 is the right answer

Step-by-step explanation:

Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.

Answer:

None

Step-by-step explanation:

Simply, the absence of s^-1 shows the answer as none

Answer:

[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]