Rachael has a rope 5 m 32 cm long that she cut into two pieces. One piece is 249 cm long. How many centimeters long is the other piece of rope?

2 x 10³ = 2000

5 x 10 =       50

7 x 10⁻² =       0.07

1 x 10⁻³ =       0.001

              2050.071

First operation is multiplication .

(2000)+(50) +(0.07)+(0.001) =2050.071

You can solve this using proportion.

5 = 4

7 = ?

7(4)/5= 5.6

7 cakes cost £5.6

£5.60

divide £4 by 5 to obtain the cost of 1 cake then multiply this value by 7 for the cost of 7 cakes

5 → £4

7 → £4 × [tex]\frac{7}{5}[/tex] = £5.60

Answer: 1  7/15

We need to figure out how we got that answer...

17x-6+3x-5= x+11+4x

17x-11+3x=x+11+4

20x-11=x+11+4x

20x-11=5x+11

Make sure to subtract 5x

20x-11-5x=11

15x-11=11

Make sure to add 11

15x=11+11

15x=22

Make sure to divide by 15

x= 22/15

x= 1   7/15

Hope this helps...

-Justin0208

answer: $94.12

work:

let's start by finding the tax.

step one: convert the percentage into a decimal by dividing it by 100.

4 / 100 = 0.04

next, multiply your total by the tax

$90.5 x 0.04 = 3.62.

next, add the tax to the original price to see your new total.

$90.5 + $3.62 = $94.12

so, your total with tax would be $94.12.

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

I believe it would be seven multiplied by fourteen.

Neither. It’s equal.

6 cherry = 12 pumkin

Ratio is 1c : 2p

3 cherry = 6 pumkin so they ate the same amount.

Hello there!

First you had to solving by the fractions parts.

[tex]\frac{5}{9}+\frac{7}{9}=\frac{12}{9}[/tex]

Then you reducing by the fraction parts of 12/9.

[tex]\frac{12}{9}=\frac{4}{3}[/tex]

And finally, you simplify by the fraction parts of 4/3.

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

Solution by Formulas

Applying the fractions formula for addiction.

[tex]\frac{(5*9)+(7*9)}{9*9}[/tex]

[tex]\frac{45+63}{81}[/tex]

[tex]=\frac{108}{81}[/tex]

Simplifying 108/81 and the answer is

[tex]=1 \frac{1}{3}[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

The sum of 5/9 and 7/9 expressed as a mixed fraction is [tex] 1 \frac{1}{3}[/tex]

L.C.M of the denominator is 9

Now we have ;

5/9 + 7/9 = (5 + 7)/9 = 12/9

Rewriting as a mixed fraction :

12/9 = [tex] 1 \frac{1}{3}[/tex]

Therefore, the sum of the fractions expressed as a mixed fraction is [tex] 1 \frac{1}{3}[/tex]

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3(4x - 2) = 30

12x - 6 = 30   distributed 3 on the left side

     +6   +6

12x      = 36

     [tex]\frac{12x}{12} = \frac{36}{12}[/tex]

      x = 3

Answer: x = 3

I'm going to assume that there is something in A1 but the way you are describing the problem, you could just as easily write a constant in the formula you are using in cells E1 to E10 and F1 to F10

The trick is to refer to A1 as $A$1 which means that E1 to E10 isn't going to get creative and start looking for things in a1 to a10.

Here is an actual table made from what I think you mean

1 113 114

2 114 116

3 115 118

4 116 120

5 117 122

6 118 124

7 119 126

8 120 128

9 121 130

10 122 132

1 to 10 on the left is in column  D

A1 contains 112

In column E the enteries from 1 to 10 simply take = $A$1 + d1

Column F uses $A$1 and adds 2*d to 112

Here is the chart shown in formula form.

1 =D1+$A$1 =$A$1 + 2*D1

2 =D2+$A$1 =$A$1 + 2*D2

3 =D3+$A$1 =$A$1 + 2*D3

4 =D4+$A$1 =$A$1 + 2*D4

5 =D5+$A$1 =$A$1 + 2*D5

6 =D6+$A$1 =$A$1 + 2*D6

7 =D7+$A$1 =$A$1 + 2*D7

8 =D8+$A$1 =$A$1 + 2*D8

9 =D9+$A$1 =$A$1 + 2*D9

10 =D10+$A$1 =$A$1 + 2*D10

Remember that 1 to 10 is in d1 to d10

To look up a value from A1 in a table (E1:F10) and display the corresponding value from column F, use the formula =VLOOKUP(A1, E1:F10, 2, FALSE) in the desired output cell.

To look up the value in cell A1 from a table in E1 through F10 and return the value from the second column (F), you would use the VLOOKUP function. The appropriate formula to enter into the cell where you want to display the result would be =VLOOKUP(A1, E1:F10, 2, FALSE). This formula begins with an equal sign, as all Excel formulas do, and instructs Excel to find the value in cell A1 within the first column of the range E1:F10 and return the corresponding value from the second column of that range. The FALSE argument specifies that you want an exact match.

Amount of blue dye mixed with one gallon of white paint=[tex]\frac{3}{4}[/tex]

Amount needed for 8 gallons = [tex]\frac{3}{4}\times8=6[/tex] ounce

Amount of pink dye mixed with one gallon of white paint=[tex]\frac{2}{3}[/tex]

Amount needed for 8 gallons = [tex]\frac{2}{3}\times8= \frac{16}{3}[/tex] ounces

So, total dye required =[tex]6+\frac{16}{3}=\frac{18+16}{3}=\frac{34}{3}[/tex]

or

[tex]11\frac{1}{3}[/tex] ounces.

Hence, option C is correct.

The answer is 6.

If we know that you get 3 greens for every 4 oranges then all we need to do is extrapolate.

The ratio of orange picks to green picks is 4:3. Given 8 orange picks, we use a proportion to find that there are 6 green picks. Therefore, there are 6 green picks.

To solve this, set up a proportion:

Cross-multiply to find the value of x:

Divide both sides by 4:

Therefore, there are 6 green picks.

Hence, if there are 8 orange picks, then there are 6 green picks.

note a square is a 2 dimensional figure and so cannot have volume.

However, the 3 dimensional solid you may mean is a cube and the volume of a cube is

V = s³ ( where s is the length of the side )

here s = 4x, hence

V = (4x)³ = 64x³

Remark

You need only set up a proportion

Use the given first. Then let x = the number of drops.

1 drop / (1/6 dash) = x / (2/3 dash)

Rather than try and figure out what the fractions are going to do, why not change everything to decimals?

1/0.16666667 = x /0.6666667          multiply both sides by 0.6666667

1 * 0.6666667 / 0.16666667 = x

x = 4. That's the answer you would get if you kept the fractions. But decimals are much easier to handle in cases like this than are fractions.

If you want this in terms of genenerally how many drops would there be then

y = (1/6)*x <<< Answer

Where y is the number of dashes and x is the number of drops. 

Hey there!!

Given equation :-

... 4y - ( y - 4 ) = -20

Let' re write this equation as :

... 4y -1 ( y - 4 ) = -20

Using the distributive property :

... 4y + ( -1 ) ( y ) + ( -1 ) ( -4 ) = -20

... 4y - y + 4 = -20

Combining like terms :

... 3y + 4 = -20

Subtracting 4 on both sides :

... 3y = -24

Dividing by 3 on both sides :

... y = -24/3

... y = -8

Hope my answer helps!!

Answer:

Option B. 66 cookies

Step-by-step explanation:

The complete question is

Bella is baking chocolate chip cookies for an event. It takes 3/5 of a cup of flour to bake 6 cookies. She uses 1 1/10 cups of flour for every 50 chocolate chips used. There are a total of 150 chocolate chips for each tray of cookies. If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total?

step 1

we know that

There are a total of 150 chocolate chips for each tray of cookies

Find out the number of chocolate chips if Bella  is baking 2 trays

so

using proportion

Let

x ----> the number of chocolate chips

[tex]\frac{150}{1}=\frac{x}{2}\\\\x=150(2)\\\\x=300\ chocolate\ chips[/tex]

step 2

we know that

She uses 1 1/10 cups of flour for every 50 chocolate chips used.

Find out the number of cups of flour for 300 chocolate chips

so

using proportion

Let

x ----> the number of cups of flour

Convert mixed number to an improper fraction

[tex]1\frac{1}{10}\ cups=\frac{1*10+1}{10}=\frac{11}{10}\ cups[/tex]

[tex]\frac{(\frac{11}{10})}{50}=\frac{x}{300}\\\\x=\frac{66}{10}\ cups[/tex]

Simplify

[tex]\frac{66}{10}\ cups=\frac{33}{5}\ cups[/tex]

step 3

we know that

It takes 3/5 of a cup of flour to bake 6 cookies

Find out the number of cookies she bake for 33/5 cups of flour

so

using proportion

Let

x -----> the number of cookies

[tex]\frac{6}{(3/5)}=\frac{x}{(33/5)}\\\\x=6(33)/3\\\\x=66\ cookies[/tex]

Answer:

66

Step-by-step explanation:

i guessed a got correct

Thickness of 1 quarter = 1.75 mm

So, 1000 quarters will be = [tex]1000\times1.75[/tex]

= 1750 mm

So, a stack of 1000 quarters will be 1750 mm high.

To find the height of a stack of 1000 quarters, multiply the thickness of one quarter by the number of quarters in the stack and convert the result to meters.

To find the height of a stack of 1000 quarters:

Calculate the total thickness of 1000 quarters: 1.75mm x 1000 = 1750mm = 1.75m

1 meter = 1000 millimeters, so the height of a stack of 1000 quarters would be 1.75 meters.

y = 7x^2 - 10

Switch y and x.

x = 7y^2 - 10

Solve for y.

Add 10 to both sides.

x + 10 = 7y^2

Divide both sides by 7.

(x + 10)/7 = y^2

√ both sides.

√(x + 10)/7 = y

Replace y with f^-1(x)

Hello there!

[tex]32+(-17)[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓

First you had to remove parenthesis.

[tex]32-17[/tex]

Then you had to subtract by the numbers.

[tex]32-17=15[/tex]

[tex]=15[/tex]

Answer⇒⇒⇒=15

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

No, statement 32+(-17) is 17 units from 32 in the positive direction direction is true is a false statement.

we have to check the statement 32+(-17) is 17 units from 32 in the positive direction is true or not.

If the object moves in opposite then the velocity of it is negative.

The given statement is  32+(-17) .

We need to check is 17 units from 32 in the positive direction direction true or not.

By the definition of negative direction, -17 is in negative direction.

32+(-17), 17 has negative Direction

Therefore 32+(-17) is 17 units from 32 in the positive direction is false.

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Cold Farms:

Small box

1 pint = $2.50

1 quart = $4.50

Large Box

1 quart = 2 pints .

2 pints  = $4.50

1 pint = $4.50 / 2 = $2.25

Cone Dreams:

Small box

1 quart = $4.25 and

1 pint = $4.25/2 =  $ 2.125

Large Box

1 gallon = $9.50.

1 gallon = 8 pints

8 pints = $9.50.

1 pint = $9.50 / 8 = $ 1.1875.

Answer:

The larger size of the cold farm ice cream is the better deal . To get the equivalent volume of the small size to the large size , one needs to spend $2.5 + $2.5 = $5.0 where as for the larger size you will only spend $ 4.5.

Step-by-step explanation:

The price for cold farm ice cream for the small size is $2.5 for 1 pint and for the larger size it is $4.5 for 1 quarts. Sheldon wants to know the better deal for the size container of cold farm ice cream.

Firstly, the prices are in different volume unit we need to convert them to the same units.

1 pints = 0.5 quarts

That means small size of cold farm ice cream is $ 2.5 for 0.5 quart and larger size is $ 4.5 for 1 quart.

Small size  

$2.5 for 0.5 quart

$5.0 for 1 quart

Larger size  

$ 4.5 for 1 quart

The larger size of the cold farm ice cream is the better deal . To get the equivalent volume of larger size , one needs to spend $2.5 + $2.5 = $5.0 where as for the larger size you will only spend $ 4.5.

Answer:

Answer:

X = 5

Step-by-step explanation:

Step 1: Add 7 to both sides.

4x − 7 + 7 = 13 + 7

4x = 20

Step 2: Divide both sides by 4.

4x/4 = 20/4

X = 5

Hope this helps :-)

Givens

Let C = number of caterpillars.

Let L = legs on each.

Let T = total number of legs.

Formula

T = C*L

Answer:

From the image we have,

[tex](11x-6)^{\circ}[/tex] and [tex](13y-14)^{\circ}[/tex] are linear pairs.

Linear Pair Theorem: If two angles form a linear pair, then they are supplementary.

therefore, by above theorem we have,

[tex]11x-6+13y-14=180^{\circ}[/tex]

simplify:

[tex]11x+13y=200^{\circ}[/tex]

Since, we can seen from the image we have, [tex]15x-8=90^{\circ}[/tex]

[tex]15x=98^{\circ}[/tex]

therefore, [tex]x=6.534^{\circ}[/tex]

Now, putting the value of x in equation [tex]11x+13y=200^{\circ}[/tex] to find for y:

[tex]11\cdot 6.534+13y=200^{\circ}[/tex]

[tex]71.8667+13y=200^{\circ}[/tex]

[tex]13y=200-71.867=128.134^{\circ}[/tex]

Therefore the values of [tex]x=6.534^{\circ}[/tex] and  [tex]y=128.134^{\circ}[/tex]

The answer would be A) Distribute

And solving it would leave you with x = 7

The answer is A)Distribute the 3 to x + 2, and distribute the 5 to (2x - 3). because it expands the equation and makes it easier to solve further.

The value of y for the expression is y = (16 - 3x)/5

We have,

An expression contains one or more terms with addition, subtraction, multiplication, and division.

Al the like terms on one side of the expression if we are dealing with two sides of an expression.

Expression:

3x + 5y = 16

Subtract 3x on both sides.

3x + 5y - 3x = 16 - 3x

5y = 16 - 3x

Divide 5 on both sides.

y = (16 - 3x)/5

Thus,

The value of y for the expression is y = (16 - 3x)/5

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