The rectangle below has a total perimeter of 143 m:
Which of the following equations can be used to determine the length of the longer side of the rectangle?
(a) x + 11 = 143
(b) 11x = 143
(c) 121x = 143
(d) 2x + 22 = 143

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

Givens

Let C = number of caterpillars.

Let L = legs on each.

Let T = total number of legs.

Formula

T = C*L

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)

I believe it would be seven multiplied by fourteen.

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.

Neither. It’s equal.

6 cherry = 12 pumkin

Ratio is 1c : 2p

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

99 and division and multiplication.

The temperature decreased by 12°F from 7pm to 7am.

The temperature change from 7pm to 7am can be calculated by finding the difference between the temperatures at those times. At 7am last night, the temperature was 10°F.

At 7am the next morning, the temperature was -2°F. To find the temperature change, subtract the initial temperature from the final temperature: -2°F - 10°F = -12°F. Therefore, the temperature decreased by 12°F from 7pm to 7am.

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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

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 :-)

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

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.

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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17 < 9 + x    Subtract 9 from both sides.

17 - 9 < 9 - 9 + x

8 < x

Be very careful that you leave the open end of the less than symbol pointing towards the x It means that x is greater than 8.

You could write it the other way x > 8 but the pointy end must always be closest to the 7 which is another way of saying what the answer means.

Notice anything after the 8 going right is colored and it is the answer.

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.

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.

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]

Hi the answer is d 40 i hope this helps,

4+4 is 8

8+8 is 16

12+16 is 24

So 16+24 is 40

The answer is C. 32. As you can see, the first variable is multiplied by the second variable of the table. Thus, you would have to multiply 8 and 4. Which would give you the answer of 32.

Answer: 20.87/21 minutes

Step-by-step explanation: 1858/2 = 20.8764044944

                                             2 x 20.8764044944 = 1858

It takes approximately 21 minutes for the copier to print 1,858 copies, given that the copier prints at a rate of 89 copies per minute.

To determine how long it takes for the copier to print 1,858 copies, we can set up a proportion since we know the rate at which the copier prints is 89 copies per minute. We calculate the time it would take by dividing the total number of copies needed by the number of copies the machine can print per minute:

Time (in minutes) = Total Copies ÷ Rate

Time (in minutes) = 1,858 copies ÷ 89 copies per minute

After performing the division, we find that:

Time (in minutes) = 20.8764 minutes

Since we generally measure time in whole minutes when it comes to using office equipment, we can round this to the nearest whole number, thus giving us approximately 21 minutes to complete the printing task.

[tex]2x-3\geq0\\2x\geq3\\x\geq\dfrac{3}{2}\\\\|x+8|=2x-3\\\\x+8=2x-3 \vee x+8=-2x+3\\\\x=11 \vee 3x=-5\\\\x=11 \vee x=-\dfrac{5}{3}\\\\-\dfrac{5}{3}\not \geq \dfrac{3}{2}\\\\\boxed{x=11}[/tex]

So that would be the same thing as 5 4/5 - 3 2/7

Put them in mixed fractions to become 29/5 - 23/7

Multiply one side by 7 and one side by 5 to get the same denominator  

203/35 - 115/35

Now subtract the numerators to get

88/35

Or if they want it inixed numbers then 2 18/35

54/5 - 32/ 7

=(378 -160)/ 35

=218/35

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

[tex]V=\frac{3}{4}(r^{3}\pi)[/tex]

Where [tex]r[/tex] is the radius.

2. The diameter is:

[tex]D=2r[/tex]

3. So, you must solve for the radius in the first equation:

[tex]r=\sqrt[3]{\frac{4V}{3\pi}}[/tex] 

[tex]r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft[/tex]

4. Then, the diameter is:

[tex]D=2(6.94ft)\\D=13.88ft[/tex]

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.

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.

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