q
1
y=qx
P
Write x in terms of p, q and y.

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

- List down their multiples

The multiples of 6  = 6 12 18 24

The multiples of 9  = 9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

List down their multiples

The multiple of 6

6 12 18 24

The multiple of 9

9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

- Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

- Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

Answer:

9

Step-by-step explanation:

the given expression can be re-written:

[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]

then

[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]

Answer:

2 option

Step-by-step explanation:

mark me as brainliest

Answer:

Oh Im so Sorry But U Can Do It

Answer:   3

Step-by-step explanation:

Let the number be 'a'.

Since the difference between 13 and a number is 4 more than twice the number,  then    13 - a = 2a + 4

            ⇒    13 - a = 2a + 4

                       2a + a = 13 - 4

                            3 a = 9

                               a = 3

Answer:

15

Step-by-step explanation:

Answer:

15

The answer is 15 (if 3/5 is a fraction)

Answer:

8 hours 48 mins

Step-by-step explanation:

  h  m

  5:15

+3:33

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

  8:48

or

5 hours + 3 hours =8 hours,

15 mins + 33 mins = 48 mins

Therefore, it's 8 hours 48 mins.

Step-by-step explanation:

We calculate hours by hours and minutes by minutes :)

5 hours 15 min + 3 hours 33 min

⇒ 5 hours + 3 hours = 8 hours

⇒ 15 min + 33 min = 48 min

Answer:

140 students are in the school

Step-by-step explanation:

According to the Pie Chart, 70 students are 50%. So then, you multiply 50% of the survey to get 100% (the entirety surveyed). So 70 x 2 = 140

So there were 140 students in the school.

Answer:

70*2 = 140

Step-by-step explanation:

if half is 70, then 100% is 70*2 = 140

[tex]26 - ( - 35) \\ = 26 + 35 \\ = 61[/tex]

Reasoning :-

- & - together will give you +

Hey there!

GUIDES FOR YOU TO FOLLOW FOR FUTURE PURPOSES.

Guide #1:

• Double [negatives] equals _positive_

• Double [positives] equals _positive_

• 1 [negative] & 1 [positive] equal(s) _negative_

• 1 [positive] & 1 [negative] equal(s) _negative_

Guide #2:

• Positives are on the RIGHT side of the number line

• Negatives are on the LEFT side of the number line

Guide #3:

• Negatives are BELOW 0

• Positives are ABOVE 0

Guide #4:

• When you’re only working with negatives you go down certain spaces because they are below 0

• When you’re only working with positives you too up certain spaces because they are above zero

And etc.

SOLVING FOR YOUR ANSWER

26 - (-35)

= 26 + 35

= 61

Therefore, your answer should be: 61

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

b 321 and 322

Step-by-step explanation:

because 321.5 is between 321 and 322

A rectangle can be defined as a 4 sided geometric figure.  One side of a rectangle is longer than the other sides. A rectangle can also be referred to as a quadrilateral.

The dimensions of the background are given as Width: 8 feet and the  Length: 18 feet

The formula for the area of a rectangle is Length x Width.

The question says:

The owners want the length to be 10 feet more than its width. Hence:

L = W + 10

The area of the fenced backyard = 144 square feet.

Hence,

(W + 10) x W = 144

W² + 10W = 144

Rewriting the equation

W² + 10W - 144 = 0

We factorize the algebraic expression above

W² - 8W + 18W - 144 = 0

W(W - 8) + 18(W - 8) = 0

(W - 8) (W + 18) = 0

W - 8 = 0, W = 8

W + 18 = 0, W = -18

Since the width cannot be a negative value, the width of the backyard is 8 feet

Solving for the Length,

L = W + 10

L = 8 + 10

L = 18 feet

The length of the backyard is 18 feet.

Therefore, the dimensions of the backyard are Width: 8 feet and Length: 18 feet.

To learn more, visit the link below:

https://brainly.com/question/9720917

Answer:

Step-by-step explanation:

if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8​?

3x + 101x - 24x = 8

80x = 8

x = 1/10

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

check

3 * 1/10 + 101 * 1/10 - 24 * 1/10 = 8

8 = 8

Answer:

The y intercept is -1 and the slope is 4/1

Step-by-step explanation:

When you are trying to find the y-intercept, you look at where the line crosses over the y axis. In this case it was at -1.

The slope indicates how many units it is going up/down or left/right. In this case, the distance between each point is up 4, and right 1. so the slope would be 4/1.

I hope this helps :)

Answer:

Your answer is 8 1/3 or 25/3.

Step-by-step explanation:

Hope this helps!

Answer:

10.8$

Step-by-step explanation:

(8*4.03)/3 = 10.8

Answer:

E    see below

Step-by-step explanation:

When dividing two fractions, you flip the second fraction over then multiply.

So the equation would then be:

3xy (2 + y)           ab

---------------  X   --------------

     2ab                3xy

The 3xy on top and bottom cancel each other out.  The ab on top and bottom cancel each other out.

So you are left with:

2 + y

-------

   2

Answer: Number E is correct.

Step-by-step explanation:

division becomes multiplication and turns upside down. ab cuts ab and 2 remains as denominator. 3xy cuts 3xy and 2+y remains as numerator. Therefore the answer obtained is 2+y/2.

Answer:

Therefore, he can make 2 batches of lemonade with 1pint of lemon juice

Anthony can make 2 batches of lemonade with 1 pint of lemon juice.

In this problem, we'll determine how many batches of lemonade Anthony can make using a given amount of lemon juice. We'll be using the fact that 1 pint is equivalent to 16 fluid ounces.

Step 1: Convert Pints to Fluid Ounces

Since 1 pint is equal to 16 fluid ounces, we need to convert the given 1 pint of lemon juice into fluid ounces.

1 pint = 16 fluid ounces

Step 2: Calculate Batches

Now that we know 1 pint is equal to 16 fluid ounces, we can find out how many batches of lemonade Anthony can make using 8 fluid ounces of lemon juice per batch.

Number of batches = Total fluid ounces / Fluid ounces per batch

Substitute the values:

Number of batches = 16 fluid ounces / 8 fluid ounces per batch

Number of batches = 2 batches

Therefore, Anthony can make 2 batches of lemonade using 1 pint of lemon juice, given that he uses 8 fluid ounces of lemon juice in each batch.

This calculation ensures that he has enough lemon juice for the desired number of batches without any wastage.

To know more about Batches here

https://brainly.com/question/33079787

#SPJ3

Answer: 7 ( 92 x + 9 )

You have to find the greatest common number

First add the like terms (x) 7x+637x= 644

Then you know that 7 is the greatest common faxtor for 644 and 63

So that is how you get your answer 7(92x+9)

Step-by-step explanation:

I hope this helps!

If you are having a tough time with math you can use:

khan academy

math nation

Answer:

$0.14 per ounce

Step-by-step explanation:

Divide $2.24 by 16 and theres your answer

Answer:

Serena and Aaron.

Step-by-step explanation:

Answer:

Serena and Aaron.

Step-by-step explanation:

Answer: B. -12

Edge 21: Since the brackets are facing down, there is no need to round the -12 because it's already an integer.

Answer:

Step-by-step explanation:

x = 8  ; y = 5/3

[tex]3z = \dfrac{5}{3}[/tex]

[tex]\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10[/tex]

Answer:

2/5,4/9,5/7

Step-by-step explanation:

2/5 = 0.4

4/9 = 0.444444444

5/7 = 0.714285

Answer:

below

Step-by-step explanation:

IF l₁ and l₂ are parallel, then:

Angles 2, 4, 5, 8 all equal 86 degrees

Then angles 1, 6, 3 , 8 all equal 180 - 86 which is 94 degrees

[tex]\\ \sf\longmapsto 3x-4=y[/tex]

[tex]\\ \sf\longmapsto y=3x-4[/tex]

Done !

Here

Note:-

Standard form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

Answer:

[tex]⟼3x−4=y \\ \\

isolate y

\begin{gathered}\\ \sf\longmapsto y=3x-4\end{gathered}⟼y=3x−4

Done !

Here

m=3

b=-4

Note:-

Standard form

\begin{gathered}\\ \sf\longmapsto y=mx+b\end{gathered}⟼y=mx+b

[/tex]

Answer:

The slope is [tex]\frac{2}{8}[/tex]

Step-by-step explanation:

Take the general equation of a straight line [tex]y = mx+c[/tex]

Here [tex]m[/tex] is the slope of the line.

So let's get the equation of the line in the question in the same form.

[tex]-48 = 2x-8y[/tex]

Add [tex]8y[/tex] to both sides: [tex]8y - 48 = 2x[/tex]

Add [tex]48[/tex] to both sides: [tex]8y = 2x + 48[/tex]

Divide by [tex]8[/tex] to get it into the general equation: [tex]y = \frac{2}{8} x + 6[/tex]

Now compare it to the general equation to find the value of [tex]m[/tex]. The value of [tex]m[/tex] is the coefficient of [tex]x[/tex] which we can see is [tex]\frac{2}{8}[/tex]

Answer:

13

Step-by-step explanation:

Step 1 to find gcf of  16x^2 -16+3  is factor out  the equation = (4x)^2  -13   =  (4x+13)(4x-13) So we factor to show one - and one + and then step 2 we then divide 4/4  -13/4 and 4/4 13/4  and cancel out 4/4 and see what we are left with =  x>+ - 13/4  = 3  1/4    we can now find gcf by working out 16x^2 = 16(3 1/4)^2 = 16(10.5625) = 169  and  the gcf of 169 and +- 13  =  13