How to solve 3 1/6 - 3/4 + 5/6

Lee sold 60 magazine

Step-by-step explanation:

Terrence and Lee were selling magazines for a charity

We need to find how many magazines Lee sold

Assume that Lee sold x magazines

∵ Terrance sold 30% more than Lee in the first week

∵ Lee sold x magazines in the first week

- Find 30% of x and add it to x to find how many magazines

  Terrance sold

∵ Terrance sold = 30% × x + x

∴ Terrance sold = [tex]\frac{30}{100}[/tex] × x + x = 0.3 x + x

∴ Terrance sold = 1.3 x magazines in the first week

∵ Terrance sold 12 magazines in the second week

- Add 1.3 x to 12 to find the number of magazines that Terrence

  sold in the two weeks

∴ Terrence sold 1.3 x + 12 magazines in the two weeks

∵ Lee did not sell any in the next week

∴ Lee sold x magazines in the two weeks

∵ Terrance sold 50% more than Lee by the end of the 2nd week

- Equate 1.3 x + 12 by the sum of x and 50% of x

∴ 1.3 x + 12 = 50% × x + x

∵ 50% × x = [tex]\frac{50}{100}[/tex] × x = 0.5 x

∴ 1.3 x + 12 = 0.5 x + x

- Add the like terms in the right hand side

∴ 1.3 x + 12 = 1.5 x

- Subtract 1.3 x from both sides

∴ 12 = 0.2 x

- Divide both sides by 0.2

∴ 60 = x

Lee sold 60 magazine

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Answer:

1

Step-by-step explanation:

Simplify the following:

(1/6)^0

Hint: | Any nonzero number to the zero power is one.

(1/6)^0 = 1:

Answer:  1

Answer:

Hello, Subtract 4x 4 x from both sides of the equation. Divide each term by 3 3 and simplify. Divide each term in 3y=−4x+15 3 y = - 4 x + 15 by 3 3 . Use the slope-intercept form to find the slope and y-intercept.

Hope This Helps!

Answer:

The scale factor of the smaller rectangle to the larger rectangle is 3/2

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

To find out the scale factor of the smaller rectangle to the larger rectangle. set up a proportion

[tex]\frac{9}{6}=\frac{3}{2}[/tex] ----> ratio of corresponding heights

or

[tex]\frac{12}{8}=\frac{3}{2}[/tex] ----> ratio of corresponding bases

therefore

The scale factor of the smaller rectangle to the larger rectangle is 3/2

Answer:

100000

Step-by-step explanation:

f(5)=10^5

f(5)=100000

Answer:

100,000

Step-by-step explanation:

Answer:5-y=a

Step-by-step explanation:

Answer:

15 and 9/10 or 15.9

Step-by-step explanation:

4_2/5 + 3_3/10 = 4_4/10 + 3_3/10 = 7_7/10

8_1/5 = 8_2/10

8_2/10 + 7_7/10 = 15 9/10

or 15.9

Answer:15 and 9 10ths

Step-by-step explanation:

Answer:

x= 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

3(1)+3(-x/3)=3(5x/3)

3-x=5x

3=x+5x

3=6x

x=3/6

simplify

x=1/2

Answer:

Tina makes per hours [tex]=\$11.925[/tex]

Step-by-step explanation:

Tina makes [tex]8[/tex] hours [tex]=\$10.40[/tex]

and additional tips [tex]=\$85[/tex]

total amount makes for [tex]8[/tex] hours [tex]= \$10.40+\$85[/tex]

total amount makes for [tex]8[/tex] hours [tex]=\$95.40[/tex]

total amount makes for [tex]1[/tex] hours [tex]=\frac{total\ amount}{total\ time}\\\\=\frac{\$95.40}{8}\\\\=\$11.925[/tex]

Answer:

[tex](x^2)^2=x^4[/tex]

Step-by-step explanation:

Because of the power of a power property states that [tex]((x^n)^m)=x^{n\times{m}}[/tex], where n and m are real numbers, then, the expression you have just posted can be simplified by applying this property to [tex](x^2)^2=x^{2\times2}=x^4[/tex].

Allen and Beverly both thought of the number 18. When Allen doubled the number and added 15, he got 51. Beverly, in reverse order, subtracted 15 from the number and then doubled it to get 6.

Let the number that Allen and Beverly thought of be represented by 'x'.

Allen doubled the number and added 15 to the result, which gives us the equation:2x + 15 = 51

Now, we need to solve for 'x' to find the original number.

Subtract 15 from both sides of the equation: 2x = 51 - 15

2x = 36

Now, divide both sides by 2 to isolate 'x': x = 36 / 2

x = 18

So, Allen and Beverly both thought of the number 18.

Now, Beverly performs the same operations but in reverse order: 1. She starts with the number 18.

2. She subtracts 15 from it:18 - 15 = 3

3. Then, she doubles the result:2 * 3 = 6

So, Beverly gets the result of 6 by performing the same operations in reverse order.

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Answer:

12 + 2g ?

Step-by-step explanation:

6 + 6 = 12. g + g = 2g. So together you get 12 + 2g. I am not 100% sure.

Answer:

[tex]1\frac{7}{18}[/tex]  or one seven eighteenths

Step-by-step explanation:

we know that

12 one half times one nine is the same that multiply 12 one half by one nine

so

[tex](12\frac{1}{2})(\frac{1}{9})[/tex]

Convert mixed number to an improper fraction

[tex]12\frac{1}{2}=12+\frac{1}{2}=\frac{12*2+1}{2}=\frac{25}{2}[/tex]

substitute

[tex](\frac{25}{2})(\frac{1}{9})=\frac{25}{18}[/tex]

Convert to mixed number

[tex]\frac{25}{18}=\frac{18}{18}+\frac{7}{18}=1\frac{7}{18}[/tex]

therefore

12 one half times one nine is one seven eighteenths

The distance between the two sailboats is approximately 2,197 feet.

1. Find Distances to Boats:

  - Use the tangent function for each angle of depression to find the distances from the observation deck to each sailboat. For boat 1 (42 degrees), use [tex]\(\tan(42^\circ) = \frac{\text{height}}{\text{distance}}\)[/tex], and for boat 2 (29 degrees), use [tex]\(\tan(29^\circ) = \frac{\text{height}}{\text{distance}}\)[/tex].

2. **Calculate Individual Distances:**

  - For Boat 1: [tex]\( \text{Distance}_{\text{Boat 1}} = \frac{\text{height}}{\tan(42^\circ)} \)[/tex]

  - For Boat 2: [tex]\( \text{Distance}_{\text{Boat 2}} = \frac{\text{height}}{\tan(29^\circ)} \)[/tex]

3. Determine Distance Between Boats:

  - The distance between the two boats is [tex]\( \text{Distance}_{\text{Boat 1}} - \text{Distance}_{\text{Boat 2}} \)[/tex].

4. Final Answer:

  - The final answer is the distance between the two sailboats, which is approximately 2,197 feet.

Answer:

b

Step-by-step explanation: i just know

Answer:

bb

Step-by-step explanation:

Many of the colors in them were "home dyed," as commercial dyes were unknown is the correct answer because "As" correctly begins the subordinate clause and shows the relationship to the main clause

Answer:

5(2x + 7)

Step-by-step explanation:

Answer: yes

Step-by-step explanation:Can you brainless me

Answer:

b 25

Step-by-step explanation:

Answer: its c: 30

Step-by-step explanation:

i just got this wrong so haha

The number of Douglas fir pine trees is 350, and the number of Ponderosa pine trees is 500

From the question, we are to determine the number of each kind of pine trees.

Let x represent Douglas fir pine trees

and y represent Ponderosa pine trees

From the first statement - There are 850 Douglas fir and Ponderosa pine trees

We can write that

x + y = 850 ------------- (1)

Also,

The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine; and the company paid $217,500 for the trees.

From this statement, we can write that

300x + 225y = 217500  ---------------- (2)

Now, we will solve the equations simultaneously

From equation (1)

x + y = 850

Then,

x = 850 - y ------------ (3)

Substitute this into equation (2)

300x + 225y = 217500

300(850-y) + 225y = 217500

255000 -300y + 225y = 217500

255000 - 75y = 217500

255000 - 217500 = 75y

37500 = 75y

∴ y = 37500/75

y = 500

Substitute the value of y into equation (3)

x = 850 - y

x = 850 - 500

x = 350

∴ x = 350 and y = 500

Hence, the number of Douglas fir pine trees is 350, and the number of Ponderosa pine trees is 500

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Step-by-step explanation:

[tex] \because \: \cos \theta = \frac{1}{\sec \theta} \\ \\ \therefore \: \cos \theta = \frac{1}{2} \\ \\ \therefore \: \cos \theta = \cos 60 \degree \\ \\ \huge \red{ \boxed{\therefore \: \theta = 60 \degree}}[/tex]

Answer:1/2

Step-by-step explanation:Plato

Answer:

you multiply the second equation by -2.

Step-by-step explanation:

to get rid of y and find x. Then you plug x into one of the equations to find y

Answer:

You just divide the numbers to get the hourly pay.

98÷5÷2

$9.80/hr

Answer:

[tex]Any\ two\ equations\ x,\ 54.57-x\\\\For\ example\ 23.37+31.20=54.57[/tex]

Step-by-step explanation:

[tex]Let\ first\ decimal=x\\\\Second\ decimal=y\\\\x+y=54.57\\\\y=54.57-x\\\\so\ any\ two\ decimal\ x\ and\ 54.57-x\ will\ give\ 54.57\\\\If\ we\ take\ first\ decimal(x)=23.37\\\\second\ decimal=54.57-23.37\\\\second\ decimal=31.20\\\\\Rightarrow 23.37+31.20=54.57[/tex]

Answer:

x = −10

Step-by-step explanation:

1. Add 12.11x to both sides.

−10.5 = 75.6 − 3.5x + 12.11x

2. Simplify 75.6 - 3.5x + 12.11x to 75.6 + 8.61x.

−10.5 = 75.6 + 8.61x

3. Subtract 75.6 from both sides.

−10.5 − 75.6 = 8.61x

4. Simplify −10.5 −75.6  to −86.1.

−86.1 = 8.61x

5. Divide both sides by 8.61.

​​[tex]-\frac{8.61}{86.1}[/tex] = x

6. Simply [tex]-\frac{8.61}{86.1}[/tex] to 10

−10 = x

7. Flip it.

x = −10

Answer:

1/6y + 1/6(y + 12) - 2

Answer:

C

Step-by-step explanation:

Edge 2020

Answer:

78 degrees

Step-by-step explanation:

It’s already above the grown by 8 feet 100 feet in the air but can only go 70

By using the tangent function tan(31°) = opposite/adjacent, and knowing the rock's height of 555 meters, we can find the distance from the rock that Archimedes should sleep to wake up with direct sunlight. The distance is calculated as the height of the rock divided by the tangent of the angle of the sun, which will give the desired result.

To find out how far from the rock Archimedes went to sleep, we can use the concept of trigonometry. Specifically, we will use the tangent function, which relates the angle of the sun to the height of the rock and the distance of the shadow on the ground.

Given that the sunshine angle is 31 degrees and the rock is 555 meters tall, we can set up our equation using the tangent function: tan(31°) = opposite/adjacent, where the opposite side is the height of the rock, and the adjacent side is the distance from the rock where Archimedes slept.

The equation would look like this:

tan(31°) = 555 / distance

To solve for the distance, we rearrange the equation:

distance = 555 / tan(31°)

By calculating this, we would get the distance where Archimedes should sleep to be woken by the direct sunlight.

Answer:

i) angle 3 is 120°

ii) angle 3 + angle 4  = 180°  as both angles make up a staright line

    ∴  angle 4  = 180° - angle 3  = 180° - 120° = 60°

iii) angle 6 = angle 3  = 120°   as they are opposite interior angles

iv) angle 6 + angle 8  = 180°  as both angles make up a straight line  

   ∴  angle 8  = 180° - angle 6  = 180° - 120° = 60°

Step-by-step explanation:

i) angle 3 is 120°

ii) angle 3 + angle 4  = 180°  as both angles make up a staright line

    ∴  angle 4  = 180° - angle 3  = 180° - 120° = 60°

iii) angle 6 = angle 3  = 120°   as they are opposite interior angles

iv) angle 6 + angle 8  = 180°  as both angles make up a straight line  

   ∴  angle 8  = 180° - angle 6  = 180° - 120° = 60°

Answer:

67%

Step-by-step explanation:

we are given the probability of rain tomorrow of 60 % and  a 40% chance of wind and rain. we are asked for the probability that it is windy, given that it is rainy. The formula that should be used is the quotient of the probability with "and" over the probability of the rain only. Hence, P[W U R ] / P [R] =  0.4 / 0.6 = 2/3 = 67%

:Answer: 67%

Step-by-step explanation:

APEX