What is the value of the 9 3/4- 2 1/5 +1/2

2 feet.

how many square feet of wood he used to build the box.

each side measures 2ft.

A=L²=(2 ft)²=4 ft²

A cube has 6 sides so the total quantity of wood is:

Wood=6×A

=6×4 ft²

=24 ft²

he used 24 ft² of wood to build the box.

Answer:

y = -2x - 5

Step-by-step explanation:

2y = x - 3

y = 1/2x - 3/2

gradient = 1/2

perpendicular gradient = negative reciprocal = -2

y = -2x + c

(-3) = -2(-1) + c

-3 = 2 + c

-5 = c

Answer:

y = -x/2 - 7/2

Step-by-step explanation:

Equation of the line (current) in y = mx + c

The slope of a perpendicular line has to be -ve to the current line.

⇒ m' = -1/2

To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :

y - y₁ = m (x - x₁)

y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]

y + 3 = -1/2

y = -7/2

Therefore, the new equation is :

Answer: 45

Step-by-step explanation: 2 1/4 = 2hr and 15 min

1/3 of 2hr and 15 min = 45

Amount of time spent by Nathan's family watching the video is 3/4 hour or 45 minutes.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Given that,

Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.

They watched a video in the visitor center for 1/3 of that time.

Total time spent by Nathan's family in the monument = 2 + 1/4 hours

                                                                                         = 9/4 hours

Fraction of time spend in watching the video = 1/3

Time spend in watching the video = 1/3 × 9/4

                                                         = 3/4 hour

                                                         = 45 minutes

Hence the time spent is 3/4 hour.

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Answer:

3/5, 1/5, 1/6

Step-by-step explanation:

3/5 is greater than 1/5 and is the largest of these three fractions.

Comparing 1/5 and 1/6, realize that the larger the denominator, the smaller the value of the fraction.  Thus, 1/5 is greater than 1/6.

Then, in order from greatest to least:  3/5, 1/5, 1/6

Answer:

infinite many solutions

Step-by-step explanation:

As L.H.S = R.H.S, there are infinite many solutions

[tex]\\ \rm\Rrightarrow 5(2b+1)=10b+5[/tex]

[tex]\\ \rm\Rrightarrow 10b+5=10b+5[/tex]

[tex]\\ \rm\Rrightarrow 0=0[/tex]

Answer:

1,2,2,2,2,2,2,3,3,4,5,5,6

Step-by-step explanation:

Oh, math! One of my absolute favorite subjects. I'd be happy to help.

From least to greatest, here's the list-

1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6, 10

I hope this answers your question.

-Toremi

Answer:

3 hrs. 30 mins.

Step-by-step explanation:

7:00 - 3:30

In this situation, it is true buying three pairs of socks costs less at the store and buying fout pairs costs the same online and in the store.

Store: $5 x 3 = $15

Online: $3.50 x 3 = $10.5 + $6 = $16.5

This shows buying three pairs cost less at the store, which makes the first statement correct.

Store: $5 x 4 = $20

Online: $.3.50 x 4 = $14 + $6 = $20

This shows buying four pairs is the same in the store or online.

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Answer:

v > - 78

Step-by-step explanation:

Version 1.

   v

-----------  < 92

-6 + 79

    v

------------  <  92

    73

    v

------------  <  92(73)

    73(73)

v < 6716

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

Version 2

    v

------------ + 79 <  92

    -6       -79      -79

        v

(-) ------------  <  13(6)

        6(6)

-v < 78

÷-1   ÷-1

v > -78

I hope this helps!

The surface area of the pencil is the amount of space it covers

The surface area of the pencil is 61 square centimeters

The given parameters are:

H = 20 cm

L = 0.5 cm

The surface area (SA) is then calculated as:

SA = 6LH + 3[tex]\sqrt 3[/tex]L^2

This gives

SA = 6 * 0.5 * 20 + 3[tex]\sqrt 3[/tex] * 0.5^2

Evaluate the sum

SA = 61

Hence, the surface area of the pencil is 61 square centimeters

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Answer:

10 years

Step-by-step explanation:

Simple interest formula:

AV=PV(1+it)

13200=8000(1+.065t)

1.65=1+.065x

.65=.065x

10=x

The hot air balloon's(above the eagle) elevation, relative to sea level is 98 meters

Elevation is the height to which something is elevated or to which it rises.

Therefore,

The eagle circle 48 meters above the mouse that scurried in the valley. The valley is 16 meters below sea level.

At the same time a hot ballon floated 66 meters above the eagle.

Therefore, the hot air balloon's elevation, relative to sea level is as follows;

elevation = 66 + 48 - 16 = 98 meters

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Answer:

Radius of sphere =1unit

SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31

∴V:S=1:3 cm

Step-by-step explanation:

Hope this helps. If any questions, please ask in comments.

Answer:

There are 3 ways to find the slope of a line.

I'll use a simple method.

First, let's look at a random point on this line(and make sure it's close to the start of the line).

I'll choose (1,4).

Then, see how much it rises and how far it runs to another fixed point.

Though, in this case we can see that the rise is going down and the run is moving towards the right. So, the slope will be negative since the rise is negative.

You always want to confirm if it'll be a negative or positive slope and which direction the slope is guiding you to.

Now, if we go down 8 and over 3, we'll reach a fixed point of (4, -4).

Therefore, we can infer that the slope of this line will be 8/3.

Answer:

8/3

Step-by-step explanation:

rise over run, only clearly intercepts a point twice.

Answer:

16 rows, 8 seedlings left.

Step-by-step explanation:

Divide 200 by 12, since 200 seedlings are going to be split in 12 groups in order to fill the rows.

200 ÷ 12 = 16 with a remainder of 8.

The remainder is basically what is left.

Since 12 seedlings are planted in each row, 8 seedlings is not enough to completely fill the row. So, the answer is 16 rows with 8 seedlings left.

Hope this helped !

Answer:

I'm talking about the boxes:

1st-false, there are 7/19, which is not more

2nd-true, there are 12/19 which is the most

3rd-true, 12/20 of the women like dancing

4th-false, 7/20 like dancing

5th-true, 13/20 don't like dancing

The intervals indicated on the graph are:

-7 < x < -3, -3 < x < -1, & 1 < x < 3 are increasing

-1 < x < 1, & 3 < x < 5 are decreasing

5 < x < 7 is neither

The interval of a function is increasing when the line slopes upward to the right along the interval. This means that the function value would increase as the input values decrease within the given interval.

On the other hand, the interval decreases when the line of the function slopes downwards within the interval. This implies that as the function value decreases, the input values increase within the given interval.

Therefore, from the graph given, we can conclude that:

-7 < x < -3: increasing

-3 < x < -1: increasing

-1 < x < 1: decreasing

1 < x < 3: increasing

3 < x < 5: decreasing

5 < x < 7: neither

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Answer:

  13 units

Step-by-step explanation:

Points A(-1, -6) and B(-1, 7) both lie on the vertical line x=-1. That means the distance between them is the difference of their y-coordinates:

__

  By -Ay = 7 -(-6) = 13

Segment AB is 13 units long.

Answer:

Step-by-step explanation:

Use a simple interest formula.

Simple interest formula:

→ 2000*4.6%4

You have to convert 4.6% into a decimal form.

→ 4.6%=0.046

→ I=2000*0.046*4

Solve.

Multiply the numbers from left to right.

→ 2000*0.046*4=368

I hope this helps you! Let me know if my answer is wrong or not.

Circumference:-

He need 21.98m fencing material

Answer:

22 m

Step-by-step explanation:

Solving

Answer:

140 child tickets were sold

Step-by-step explanation:

a = number of adult tickets

c = number of child tickets

a+c = 350

6.50 c + 8.50a = 2695

Multiply the first equation by -8.50 together

-8.50c  -8.50c =-2975

Add this to the second equation to eliminate a

-8.50c  -8.50c =-2975

6.50 c + 8.50a = 2695

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

-2c   + 0a = -280

Divide by -2

-2c/-2 = -280/-2

c = 140

Answer:

Step-by-step explanation:

a)

The total amount coffee beans

b)

The total amount of market price

Answer:

a)   750a + 1200r = 1000000

b)   1065a + 876r = 1000000

Step-by-step explanation:

Define the variables:

Part (a)

Given:

If the plantation yields 1,000,000 kg of coffee:

⇒ 750a + 1200r = 1000000

Part (b)

Given:

If the price of Arabica beans is $1.42 per kg, and Arabica yields about 750 kg per hectare, then the price per hectare of Arabica coffee beans is:

⇒ $1.42 × 750 = $1065 per hectare

If the price of Robusta beans is $0.73 per kg, and Robusta yields about 1200 kg per hectare, then the price per hectare of Robusta coffee beans is:

⇒ $0.73 × 1200 = $876 per hectare

Therefore, if the plantation produces coffee worth $1,000,000:

⇒ 1065a + 876r = 1000000

Answer:

20.87 hours

Step-by-step explanation:

Speed = distance/ time

We need to find the speed of the boat which is ...

s = 345/24

s = 14.374km/hour

so to find how long it takes to travel 300 km we....

time = distance/speed

t = 300/14.375

=20.869

= 20.87

Answer:

$1,537.14

I had this question once and this was the answrr

James should earn a weekly salary of $ 432.76 with 0 exemptions to give the closest exemption.

In this question, we should estimate the salary earned before one exemption and find the equivalent brute salary with no exemptions. The expected salary is equal to product the brute salary minus the product of the tax rate and brute salary.

According to the table we have the expected salary after one exemption:

[tex]x = 418\cdot \left(1-\frac{19.66}{100} \right)[/tex]

[tex]x = 335.82[/tex]

After a quick inspection to the salary column for zero exemptions, we find that percentage associated to a salary with no exemptions: ([tex]r = 22.40\,\%[/tex])

[tex]C = \frac{335.82}{1-\frac{22.40}{100} }[/tex]

[tex]C = 432.76[/tex]

James should earn a weekly salary of $ 432.76 with 0 exemptions to give the closest exemption. [tex]\blacksquare[/tex]

The exemption table is missing. The complete figure is shown below.

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Answer:

c

Step-by-step explanation:

Tony deposited three checks as given in deposite ticket. The amount of the third check that Tony deposited is given by: Option B: $105.20

Resultant deposited amount = Deposited amount - The amount deducted.

We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.

Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.

The missing image of the deposite ticket is attached below.

From that image, we can see that:

Thus, the net deposited amount is:

Net deposite = deposited amounts - deduced amounts

686.04 = 491.6 + 157.68 + x - 68.44 (all in dollars)

[tex]686.04 = x+ 491.6 + 157.68 - 68.44\\686.04 = x + 580.84\\\\\text{Subtracting 580.04 from both the sides} \\\\686.04 - 580.84 = x\\x = 105.20 \: \rm dollars[/tex]

Net deposite = 105.20 (in dollars).

Thus, the amount of the third check that Tony deposited is given by: Option B: $105.20

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Answer:

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

So:

[tex]9^2+13^2=c^2[/tex]

[tex]250 = c^2[/tex]

[tex]\sqrt{250} = \sqrt{c^2}[/tex]

[tex]c = 15.8113883[/tex]

OR (rounded)

[tex]c = 15.8[/tex]