3/5 + 1/2 in simplest form

Answer:

The capacity of the cistern is [tex]1.2231~m^3[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Step-by-step explanation:

Volume

The volume of a rectangular box of dimensions x,y,z is given by:

V = x.y.z

The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:

[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]

The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:

1.35 - 0.025 = 1.325 m

1.08 - 0.025 = 1.055 m

0.90 - 0.025 = 0.875 m

The internal volume is:

[tex]V_i=1.325*1.055*0.875[/tex]

[tex]V_i=1.2231~m^3[/tex]

The capacity of the cistern is 1.2231~m^3

The volume of iron used is the difference between the external and the internal volumes:

[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]

[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Answer:

15 ft 45 ft 30 ft 60 ft

Step-by-step explanation:

Answer:

Part A

x = 8

Part B

AM = 64 cm

Part C

BM = 64 cm

Part D

AB = AM + BM

Step-by-step explanation:

Consider the line segment below.

АM = (7x + 8) cm

BM = (9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of x?

AB = AM + BM

128 = (7x + 8) + (9x - 8)

128 = 7x + 9x + 8 - 8

128 = 16x

x = 128/16

x = 8

Part B - What is the length of AM?

АM = (7x + 8) cm

AM = 7(8) + 8 cm

AM = 56 + 8 cm

AM = 64 cm.

Part C - What is the length of BM?

BM = (9x – 8) cm

BM = 9 × 8 - 8 cm

BM = 72 - 8 cm

BM = 64 cm.

Part D - Is point M the midpoint of AB? Justify your answer.

A.............. M............... B

Hence: From the Above illustration,

M is the Midpoint because it divided AB into 2 equal parts

= AM and BM

Hence:

AB = AM + BM

Answer:

4 miles in 1 day

Step-by-step explanation: Multiply 8 by the numerator for how many miles of road; That is how many halves of miles are built in a single day. Simplify that and they build 4 miles of road a day.

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

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Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

Answer:

2.15 ounces

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.

From the question we are told that these amounts make 26 bags.

The number of ounces that are in each bag is calculated as:

26 bags = 55.9 ounces

1 bag = x ounces

Cross Multiply

26 bags × x ounces = 1 bag × 55.9 ounces

x ounces = 1 bag × 55.9 ounces/26 bags

x ounces = 2.15 ounces

Therefore, there are 1.94 ounces in each bag

Answer:

D

trust me I got it right

Answer:

1st Option

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

ab + c = d

Step 2: Solve for b

Answer:

B = (d-c)/a

Step-by-step explanation:

Answer:

6 Dozen

Shortening: 6/4

Granulated Sugar: 18/4

Beaten Eggs: 2/4

Vanilla Extract: 2/2

Butter Flavoring: 2/4

Salt: 2/2

Baking Soda: 6/2

Cake Flour: 4

Food Coloring x 2

Step-by-step explanation:

6 ÷ 3 = 2

3 Dozen

Shortening: 3/4

Granulated Sugar: 9/4

Beaten Eggs: 1/4

Vanilla Extract:1/2

Butter Flavoring: 1/4

Salt: 1/2

Baking Soda: 3/2

Cake Flour: 2

Food Coloring

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

Shortening: 3/4 x 2

Granulated Sugar: 9/4 x 2

Beaten Eggs: 1/4 x 2

Vanilla Extract: 1/2 x 2

Butter Flavoring: 1/4 x 2

Salt: 1/2 x 2

Baking Soda: 3/2 x 2

Cake Flour: 2 x 2

Food Coloring x 2

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

6 Dozen

Shortening: 6/4

Granulated Sugar: 18/4

Beaten Eggs: 2/4

Vanilla Extract: 2/2

Butter Flavoring: 2/4

Salt: 2/2

Baking Soda: 6/2

Cake Flour: 4

Food Coloring x 2

6 Dozen cookies make with;

The amount of Shortening = 3/2

The amount of Salt = 2/2 = 1

The amount of Granulated Sugar = 9/2

The amount of Baking Soda = 6/2 = 3

The amount of Beaten Eggs = 1/2

The amount of Vanilla Extract = 1

The amount of Cake Flour = 4

The amount of Food Coloring = 1

The amount of Butter Flavoring = 1/2

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

For, 3 Dozen cookies we use;

The amount of Shortening = 3/4

The amount of Salt = 1/2

The amount of Granulated Sugar = 9/4

The amount of Beaten Eggs = 1/4

The amount of Vanilla Extract = 1/2

The amount of Butter Flavoring = 1/4

The amount of Baking Soda = 3/2

The amount of Cake Flour = 2

The amount of Food Coloring = 1/2

Since, We have to calculate all amount of things for 6 dozen cookies.

And, 3 x 2 = 6

Hence, 6 Dozen cookies make with;

The amount of Shortening = 3/4 x 2 = 3/2

The amount of Granulated Sugar = 9/4 x 2 = 9/2

The amount of Beaten Eggs = 1/4 x 2 = 1/2

The amount of Vanilla Extract = 1/2 x 2 = 1

The amount of Butter Flavoring = 1/4 x 2 = 1/2

The amount of Salt = 1/2 x 2 = 1

The amount of Baking Soda = 3/2 x 2 = 3

The amount of Cake Flour = 2 x 2 = 4

The amount of Food Coloring = 1/ 2 x 2 = 1

So, 6 Dozen cookies make with;

The amount of Shortening = 3/2

The amount of Salt = 2/2 = 1

The amount of Granulated Sugar = 9/2

The amount of Baking Soda = 6/2 = 3

The amount of Beaten Eggs = 1/2

The amount of Vanilla Extract = 1

The amount of Cake Flour = 4

The amount of Food Coloring = 1

The amount of Butter Flavoring = 1/2

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Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

Let's ignore the four corners for now.

Along the top, the length is 145 cm. Each tile is 25 mm, which is equivalent to 2.5 cm. So she'll need 145/2.5 = 58 tiles across the top

Similarly, she'll also need 58 tiles across the bottom as well because that length is also 145 cm.

Along the left side, she'll need 75/2.5 = 30 tiles and the right side is the same story.

So far we calculate 58+58+30+30 = 176 tiles

Add in the four corners to get 176+4 = 180 tiles total

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

A quicker method is to divide the perimeter (440 cm) over the side length of each tile (2.5 cm) and we get 440/2.5 = 176, which represents the number of tiles along the top, bottom, left and right sides. Again we're ignoring the corners. So we'll have to add them back in to get 176+4 = 180.

Answer:

lets say they are a,b,c,d

a*b*c*d=67184

a<10

a=d-30

also bear in mind that b and c are in between

the rest is just trial and error as long as you satisfy all those equations above

Step-by-step explanation:

well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)

Answer:

[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]

[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]

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☄ Question : Subtract the following using horizontal method :

✎ Step - by - step Explanation :

In horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.

[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]

[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]

Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.

[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]

Likewise , Let's do next too:

[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]

Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]

And we're done!

Hope I helped!

Have a wonderful time ツ

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Answer:

i)-7x ii)23a

Step-by-step explanation:

i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a

Answer:

B. $5.94

Step-by-step explanation:

Answer:

1/10

I hope this helps!

Answer:

1/10

Step-by-step explanation:

6/20, 5/20, 4/20, 3/20 2/20

Answer:

34

Step-by-step explanation:

lifa a tarinici de alallqule sie~$1s de 0,sile s  umamos $24 ($3 por cada hora) da 34

Answer:

29.86 units

Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

[tex] BI \cong ST.... (given) \\[/tex]

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

[tex] \frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\

\frac{x}{12} = \frac{4}{x}\\\\

x\times x = 12\times 4\\\\

x^2 = 48\\\\

x=\sqrt{48}\\\\

x = 6.92820323\\\\

x = 6.93\\[/tex]

Therefore,

BI = ST =6.93

Perimeter of triangle BIS

= BI + IS + ST + BT

= 6.93 + 12 + 6.93 + 4

= 29.86 units

Answer:

[tex]m=1[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -1)

Point (1, 0)

Step 2: Find slope m

Answer:

This problem of equations involving surds can be solved by :

Firstly,square both sides of the equation to do away with the surd

(√x+3)²=(x-3)²

Next,we do away with the surd or let me put it as sign of square root and FOIL out the RHS

x+3=x²-6x+9

Rearranging leads to:

x²-6x-x+9-3=0

x²-7x+6=0 which factorises to:

(x-6)(x-1)=0

Finding the zeros leads to

x=6 or 1

We now conduct a test to see which value(s) of x satisfy the equation

√6+3=6-3

√9=3

3=3, so x=6 is true

Now for 1,

√1+3=1-3

√4 is not equal to -2

Therefore we conclude that x=6

Answer:

[tex]\frac{11}{16}[/tex]

Step-by-step explanation:

[tex]-\frac{3}{8}[/tex] + x = [tex]\frac{5}{16}[/tex]

x = [tex]\frac{5}{16}[/tex] - ( [tex]-\frac{3}{8}[/tex] ) = [tex]\frac{5}{16}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{5 + 6}{16}[/tex] = [tex]\frac{11}{16}[/tex]

x = [tex]\frac{11}{16}[/tex]

-3/8=5/16

put x after -3/8 to find 5/16

-3/8+x=5/16

find x

move -3/8 to the other side

sign changes from -3/8 to 3/8

-3/8+3/8+x=5/16-3/8

x=5/16-3/8

find the common denominator which is 16

multiply by 2 for -3/8

(-3)(2)=-6

(8)(2)=16

x= 5/16--6/16

negative sign and negative sign= +positive sign

x= 5/16+6/16=11/16

answer: x=11/16

Answer:

144

Step-by-step explanation:

(3 × 4)² = 144

You solve 3 × 4 first because parentheses come before exponents in PEMDAS.

Answer:

Turkey is more popular

Step-by-step explanation:

Turkey is more popular

From the given information:

We are being informed that 9% of the people said turkey;  &

7/100  said mashed potatoes.

The percentage of people that chose mashed potatoes = 7%

This implies that, in the given survey, the percentage of people who chose turkey is quite higher than those who chose mashed potatoes which makes turkey to be more popular.

Answer:

angle of elevation is at top and depresseion on bottom.

Step-by-step explanation:

far apart and height is calculated with more information

Answer:

A

Step-by-step explanation:

when you divide a fraction, you actually multiply by the reciprocal

Answer:

The correct answer is A, 4/5 x 5/4.

Step-by-step explanation:

I just remember to Keep Change Flip which means keep the first fraction exactly how it is, change the sign to a division sign, and flip the last fraction. So, go from 4/5 ÷ 4/5 = 4/5 x 5/4.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!