Work out, giving your answer in its simplest form:
4/7 divided by 2 1/3

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.

The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 560 square feet, hence:

Area = length * width

560 = xy

y = 560/x

One side of the land is already protected by a barn, hence:

Perimeter (P) = x + x + y = 2x + y

P = 2x + y

P = 2x + 560/x

For least amount of fencing, dP/dx = 0, hence:

dP/dx = 2 - 560/x²

0 = 2 - 560/x²

560/x² = 2

2x² = 560

x = 16.7

y = 560/16.7 = 33.5 ft

The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft

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Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)

Answer:

Step-by-step explanation:

5 inches wide, and 2 inches thick. if you glue them together(stacked) what is ... If you glue the largest area faces together you will get the smallest overall ... The total surface area of one of the blocks is 2 times 250 square inches plus 2 times ... 720 times 3 is 2160 minus 4 times 250 is 2160 minus 1000 is 1160.

Answer:

0

Step-by-step explanation:

The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!

Answer:

[tex] \sqrt{8} [/tex]

or

[tex]2 \sqrt{2} [/tex]

Step-by-step explanation:

Since the legs are equal this is a 45-45-90 triangle.

The ratio of side length for a 45 45 90 triangle

[tex](1)(1)( \sqrt{2} )[/tex]

where 1 is the legs length and sqr root of 2 is the length of the hypotenuse.

Since we are trying to find the length of the legs side we can set up a proportion.

We know the hypotenuse is 4 so our proportion looks like

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

Let see how far sqr root of 2 goes into 4.

[tex] \sqrt{2} \times x = 4[/tex]

[tex] \sqrt{2} \times x = \sqrt{16} [/tex]

[tex]x = \sqrt{8} [/tex]

so that means the answer for the legs length is

[tex] \sqrt{8} [/tex]

or

[tex]2 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

hello :

use  phtagor - rule:  let  x  the length of each side

x² +x² =4²

2x² =16

x² = 8  

x = √8

but :  8 = 4×2 = 2²×2

x = √(2²×2) = √2²× √2 =2√2      ......   √2² =2

x  =  2√2 metres.

Answer:

x=36

Step-by-step explanation:

14/42=12/x

14x=12(42)

14x=504

x=36

Answer:

54

Step-by-step explanation:

The variable m equals -2, so what you would do is plug it into the equation.

4(-2+5)+42

Next you would distribute the 4 into -2 & 5.

(-8+20) + 42

Add what's in the parenthesis.

12 + 42

Once you add that you will be left with your answer which is 54.

Hope this helped!

Answer:

D. y = 2x -3

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find m, the slope, and b, the y-intercept.

We can find those two numbers from the graph.

We look in the graph and see that the y-intercept, b, is -3.

Now we have y = mx - 3.

Now we look for the slope. Start at (0, -2). We need to go vertically and horizontally to the next point that is easy to read. We see that point (1, -1) is on a grid intersection making it easy to read, so we will use that point.

Go up 2 units. That is a rise of positive 2. Now go right 1 unit. That is a run of positive 1.

slope = rise/run = 2/1 = 2

m = 2, so now we have

y = 2x - 3

Answer: D. y = 2x -3

Answer:

1/9

Step-by-step explanation:

2/3 x 1/6 = 2/18 or 1/9

Use PEMDAS

Parentheses first

Exponents next

Multiplication then

Division in the same step

Addition then

Subtraction

The correct answer is 10x-9

Answer:

did you ever figure out what the answer was it was because  working on this and don't know what to do

Step-by-step explanation:

Answer:

Rational Numbers: √400 | -5/250 | 5.012121212...

Irrational Numbers: √1000 | ^3√30 | 0.01562138411...

Answer:

Step-by-step explanation:

100(a+6-a)/a=12

100(6)/a=12

600=12a

a=50

Answer:

114p

Step-by-step explanation:

I did the math, I really hope it's correct

The cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Normal price of bottle [tex]=76p[/tex]

And,

Offer is buy one get one half price.

So,

According to the question,

Normal price of one bottle [tex]=76p[/tex]

Half price of one bottle [tex]=\frac{76p}{2}=38p[/tex]

So,

Price of three bottles  [tex]=76*2+38[/tex]

                                    [tex]=190p[/tex]

So, Price of three bottles is [tex]190p[/tex] .

Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

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Answer:

19$

Step-by-step explanation:

Let w represent the wholesale cost of the pants, or the price paid by the store

2w + 10 = 48 Subtract 10 from both sides.

2w = 38 Divide both sides by 2.

w = 19

Answer:

for step of kepp of yours alive

Answer:

positive

Step-by-step explanation:

if you time the three by a postive then times that by a negetive you get a negitive if you time by two negitives you get postive

In the expression 3x - 5 = - 3 the value of x is positive 2/3.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 3x - 5 = - 3.

3x = - 3 + 5.

3x = 2.

x = 2/3 so x is positive.

learn more about numerical expressions here :

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Answer:

it took him 15 more minutes it would be 45 minutes in all

Step-by-step explanation:

I hope I helped!!

Answer:

80

Step-by-step explanation:

multiply 10 by 8

  (If it is not right... i apoligize but i don't see a shaded region)

Answer:

80 in

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in

Hope this Helped

Answer:

18

Step-by-step explanation:

From the above question,

We have the Algebraic expression

(5x - 4)° + 94° = 180°

5x - 4° + 94° = 180°

5x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18

Answer:

18

Step-by-step explanation:

Answer:

Slope = -1

Explanation:

Basically, your rise will be going 1 box up (an arrow upwards) and your run would be 1 box to the left (an arrow to the left). This will give you :-

1/-1 = -1

Hope this helps, thank you :) !!

Answer:

-4/3

Step-by-step explanation:

Answer:

50? maybe

Step-by-step explanation:

since half of the percentage was made it would also fall in for the other 88%.

im not 100% sure tho

The total number of pizzas is given as 50.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The percent value of pizzas having extra cheese is given as 12%.

Suppose the pizzas made last week be x.

Then, as per the question the following equation can be written as,

⇒ 12% × x = 6

⇒ 12/100x = 6

⇒ x = 50

Hence, the number of pizzas that were made last week is given as 50.

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Answer:

5a. 8:21

6a. 26:1

Answer:

Some ways on how to solve the questions:

Use formulas as given by your teacher.

Application of the Pythagorean Theorem would be useful for 5 and 6.

For 7-10 use a formula as given by your teacher (just basic operations like plugging in the formula for those questions)

For 11 and 12 draw it out.

Answer:

a) 50+10p

b) 30+12p

c) 10 pies

d) $150

Step-by-step explanation:

x>-1

Step-by-step explanation:

I don't see any number lines but it would be one with an open circle going right from -1.

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Let's set Huilan's age to h and Thomas's age to t.

Since Huilan is 13 years younger than Thomas, we can write:

The sum of both their ages is 41, so let's combine the variables h and t together.

We said that h = t - 13, so substitute this value into the equation.

Combine like terms.

Add 13 to both sides of the equation.

Divide both sides of the equation by 2.

Thomas's age is 27 years old.

Thank you L for helping me with this question :)

Answer:

b

Step-by-step explanation:

x=11/3 or 3.6667 which is b

Answer:

Answer might be b

Step-by-step explanation:

9x+12

-----—---- = 15

3

9x+12 = 15 *3

9x +12 = 45

9x=45-12

9x =33

x = 33

---

9

x = 3.6

Not sure what I did is correct so pls check

Answer:

lol

Step-by-step explanation:

j