Mr. Patrol is building a small fence around a garden. He purchased a piece of wood that's 8 1/2 feet long. Is each slat is going to be 2 1/3 feet long, how many full pieces can he make from the piece of wood? What he did: 8 1/2 divided by 2 1/2=16/2 x 7x3= 112/6=18 2/3. What was the error? What is the right solution?

Answers

Answer 1

Answer:

Well first he can only make 3 full pieces of wood. The correct way would be dividing 8 1/2 by 2 1/3 to get 51/14, simplifed would be 3 9/14 and sinc e only full pieces its 3.  The thing she did wrong was when dividing she converted the mixed fraction wrong when converting it into an improper. 8 1/2 converts to 17/2 not 16/2. 16/2 doesn’t make sense becuase if you covert it back you’d only get 8, theres still a 1/2 in there too, the 1/2 doesn’t just disappears. You gotta multiply the denominator by the whole number then ADD the numerator to it to make the numeratorfor the improper fraction.


Related Questions

is the volume of of 10 shampoo bottles greater than 3 gallons ​

Answers

Answer:

No

Step-by-step explanation:

Average amount of shampoo in a shampoo bottle: 16oz

16oz x 10 = 160oz = about 1.25 gallons

1.25 [tex]\neq[/tex] 3

Answer:

If the bottles are greater than 38.4 oz then the total volume would be greater than 3 gallons.

If the bottles are less than 38.4 oz the total volume would be less than 3 gallons.

Step-by-step explanation:

Needs more info, specifically what size shampoo bottles.

We can still figure out some info from what is given though...

let's convert to ounces since most shampoo bottles are ounces not gallons...

3 gallons=384 ounces

figure out what size bottle would exactly equal 384 oz when there are 10 bottles...

10x=384

x=38.4

If the bottles are greater than 38.4 oz then the total volume would be greater than 3 gallons.

If the bottles are less than 38.4 oz the total volume would be less than 3 gallons.

Which of the following statements describes the process for solving 4x ≥ -24?

Divide both sides of the inequality by 4 and flip the symbol.
Divide both sides of the inequality by -24 but don't flip the symbol.
Divide both sides of the inequality by 4 but don't flip the symbol.
Divide both sides of the inequality by -24 and flip the symbol.

Answers

Answer:

divide both side of inequality by 4 but don't flip the symbol

what is
1 3/5 + 1 1/5

Answers

Answer:

2.8

Step-by-step explanation:

i used a calculator

The answer is 2.8 because I did the math on my calculate

N
10
-10 - -
-5
-8-
PART A:
What is the y-intercept of the line?
What is the slope of the line?
PART B:
What is the equation of the line in slope-intercept form?
Blank 1:
I
Blank 2:
Blank 3:

Answers

Answer:

y-intercept: (0,6)

slope = -2

equation: y = -2x + 6  

Step-by-step explanation:

1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.

2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]and solve:

[tex]m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2[/tex]

So, the slope is -2.

3) With the found information, use the slope-intercept formula [tex]y = mx + b[/tex] to write the line's equation. Substitute values for the [tex]m[/tex] and [tex]b[/tex].

[tex]m[/tex] represents the slope, so substitute -2 in its place. [tex]b[/tex] represents the y-intercept, so substitute 6 in its place. This gives the following equation:

[tex]y = -2x + 6[/tex]

help me please. Very much appreciated​

Answers

Divide the figure into 3 shapes: 2 rectangles and 1 square

Area of rectangle 1: L * W

L = 5, W = 2

2 * 5 = 10 m^2

Area of rectangle 2: L * W

L = 6 + 2 , W = 3

8 * 3 = 24 m^2

Area of square: s^2

2^2 = 4 m^2

Add all them together

10 + 24 + 4 = 38 m^2

Step-by-step explanation:

Area of the top Horizontal Rectangle =

Length x Width

=

[tex](5 + 3 + 2) \times 2 \\ = 10 \times 2 \\ = 20 {m}^{2} [/tex]

Area of the bottom vertical rectangle =

Length x Width

=

[tex]6 \times 3 \\ = 18 {m}^{2} [/tex]

Total Area = Sum of Area of 2 Rectangles

=

[tex]20 + 18 \\ = 38 {m}^{2} [/tex]

The sum of two numbers is 120. The greater number is 3 times the
smaller. Find these numbers.

Answers

Answer:

x= 30, y= 90

Step-by-step explanation:

Let the smaller number be x and the greater number be y.

Given that the sum of the 2 numbers is 120,

x +y= 120 -----(1)

The greater number is 3 times the smaller number:

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 120

Simplify:

4x= 120

x= 120 ÷4 (÷4 on both sides)

x= 30

Substitute x= 30 into (2):

y= 3(30)

y= 90

Answer:

Solution :-

Let the first number be x

Then the second number will be 3 × x = 3x

According to the question

3x + x = 120

4x = 120

Taking 4 to RHS

x = 120/4

x = 30

Number are

x = 30

3x = 3(30) = 90

[tex] \\ [/tex]


I’m not understanding what to do here

Answers

Answer:

27/50 is the answer.

Step-by-step explanation:

What numbers are used to make the box and whisker plot graph?

A. 3, 27, 8, 9, 7, 15
B. 5, 27, 7, 2, 12
C. 2, 27, 18, 18, 4, 11
D. 6, 24, 12, 12, 15, 21

Answers

B is your answer.

First, write the data in ascending order.

2, 5, 7, 12, 27

The high number and low number are the ends of your range, and the dots on the ends of the line.

To find the median, the middle line of the box, you need to find the middle number of the set written in order. That number is 7.

The ends of the box are the quartiles, and those are found by looking for the middle number of the bottom half of the data in order, and the middle number of the top half. So your lower quartile is 5, your upper quartile is 12.

Please lmk if you have questions. Have a good day!

Answer:  

I do not think any option given can make the ploted box and whisker plot.

Step-by-step explanation:

Reason for that is

Most left  part of left side  in your case red point on left side  represents the start of your data ... lowest  number of given data set

Like that   Most right part of right side  in your case red point on right  side  represents the End  of your data  ....means the hightest number of data  

on left side where the box starts it indicates the  lower quartile That is Q1  while  from where the box starts on right side it indicates the upper quartiles Q3 and there will be a line in somewhere in box that  represents  the medians of given data .  

what am I supposed to do?​

Answers

Basically, you need to convert the text from the four entries into (time, temperature) data points.

Entry 1: It says it starts at 8 AM and the temperature was "quite warm."

(8 AM, "quite warm")

Entry 2: It says the time is "about midmorining" (so between 8 AM and 12 PM - say 10 AM), and the temperature dropped to 63F. Since it says the temperature dropped to this temperature, we can say that for entry 1, the temperature was higher than 63 F - say, 73 F.

(8 AM, 73 F) - revised first entry

(10 AM, 63 F)

There is a storm for about 1 hour.

Entry 3: After the storm, there was a "warm breeze." Since the storm was about 1 hour, we could say the time was 11 AM. While a temeprature isn't given, according to the North Carolina Climate Office (climate.ncsu.edu/edu/Thunderstorm), most storms result in cooling of 10-15 degrees. Let's put it at about 10 degrees.

(11 AM, ~53 F)

Entry 4: It says the temeprature steadily warmed, and at 4 PM, the temperature 89F.

(4 PM, 89 F)

Now we have four data points that fit the text from the given entries:

(8 AM, 73 F)

(10 AM, 63 F)

(11 AM, 53 F)

(4 PM, 89 F)

With these points, we can make a table and graph (see attached).

Can someone help ASAP ill give you good rating

Answers

Answer: radius is is 12.

Step-by-step explanation:

Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .

Sorry, I'm not sure on the bottom part

Solution:-

We know,

The general equation for circle is –

[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]

[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]

[tex] \bf r \: = \: radius [/tex]

[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]

[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]

[tex] \bf Radius \: = \: 12 [/tex] [Answer]

__________________________________________________

NOTE Refer the above attachment.

__________________________________________________

Write the equation of the line that passes through the points (6,-1) and (−7,−8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

y+1=7/13(x-6)

Step-by-step explanation:

the equation for point-slope form is y-y1=m(x-x1), where (x1,y1) is a point and m is the slope

first, we'll find the slope (m)

from two points, the slope is calculated as (y2-y1)/(x2-x1)

we're given (6,-1) and (-7,-8)

we can label the points

x1=6

y1=-1

x2=-7

y2=-8

now substitute into the formula

m=(-8--1)/(-7-6)

m=-7/-13

m=7/13

the slope (m) is 7/13

we already have labeled values for (x1,y1) which we made (6,-1)

substitute our known values into the equation

y--1=7/13(x-6)

simplify

y+1=7/13(x-6)

hope this helps!

I really need help with this guys
(p+8)^3

Answers

Answer:

Step-by-step explanation:

what is the distance between the points (-7, 5) and (-2, -7)

Answers

Answer:

The distance between those points is 13.

Step-by-step explanation:

1.    (x2-x1) = (-2 - -7) = 5

2.   (y2-y1) = (-7 - 5) = -12

3.   (5)2 + (-12)2 = 25 + 144 = 169

4.   √169 = 13

5.   13

Does anyone know the answer to this?!

Answers

Answer and Step-by-step explanation:

The value of x is 75.

This is because we are given an Isosceles Triangle. Isosceles Triangles always have 2 legs/sides that are the same length, and because those two sides have the same length, it means their base angles have the same value as well.

So, Since the we have an Isosceles Triangle, the angle containing 75 is equal to the angle containing x.

#teamtrees #PAW (Plant And Water)

Answer:

x = 75°

Step-by-step explanation:

The red lines going over the 2 sides on the triangle means that those 2 sides are of equal length.Because 2 sides of the triangle are equal in length, that must mean that the triangle is isosceles.Isosceles triangles have 2 equal sides with 1 side being different. The same goes for its interior angles.Since the adjacent angle relative to x is 75°, (x)° is also 75°.

Do not post a link.
The height of the rectangular prism measures 64 cm. If the height is increased by 1.5​ cm, by how much will the surface area of the box​ increase?

Answers

Answer:

96

Step-by-step explanation:

64 x 1.4 = 96

V = 115999.674 cm3

a and beach represent the length of a leg of a right triangle, and crepresents the length of its hypotenuse. Find the missing length, given the
other two lengths.
a = 12, b = 5,C=

Answers

Answer:

c = 13

Step-by-step explanation:

To find the value of c, we are to make use of Pythagoras’ theorem

From the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Using the sides given;

c^2 = a^2 + b^2

c^2 = 12^2 + 5^2

c^2 = 144 + 25

c^2 = 169

c = √169

c = 13

What is a formula for the nth term of the given sequence?
50, -10, 2

Answers

Answer:

i think the answer would be 30 chicken nuggets

Step-by-step explanation

big brain

Answer:

          1-n

50(−5)  

Step-by-step explanation:

Plug in n = 1, 2, 3  to see if the equation gives you 50, -10, 2    

         1-1

50(-5)     = 50

         1-2

50(-5)     = -10

         1-3

50(-5)     = 2

y=1-x2 linear or nonlinear. The 2 is a exponent value.

Answers

Answer:

The equation is non-linear.

Step-by-step explanation:

If x has an exponent of to it becomes a non-linear equation.

Mae Ling earns a weekly salary of $380 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,200 worth of merchandise?

Answers

Answer:

$545

Step-by-step explanation:

Solve the equation. u+3=7

Answers

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Given the sequence 10, 20, 40, 80,.... find 25th term​

Answers

This sequence is a geometric sequence so u want to find out the formula

The formula for a geometric sequence is: ar to the power of n-1

A= first term and r= the factor between the terms (called the common ratio)

Now we juss input it in the formula

10 x 2 to the power of n-1

Now we want to work out the 25th term so n=25 we do 25-1=24

So it’s 10*2 to the power of 24

Answer: 167772160

Hope this helped

Answer:

167,772,160

Step-by-step explanation:

-Each term is multiplied by 2-

10, 20, 40, 80, 160, 320, 640, 1,280, 2,560, 5,120, 10,240, 20,480, 40,960, 81,920, 163,840, 327,680, 655,360, 1,310,720, 2,621,440, 5,242,880, 10,485,760, 20,971,520, 41,943,040, 83,886,080, 167,772,160

167,772,160 is the 25th term

The number of days to complete research is inversely proportional to the number of researchers who are working . The research takes 125 days to complete if 5 people work on it. Find how many people are needed to complete the research in 25 days .​

Answers

if it takes 5 people 125 days to compete the research then we know that 50 persons will do it in 25 days

so you need 50 people!!!

DaCN
NOU
Actions E
1
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✓ Check
Question 5
Indicate the answer choice that best completes the statement or answers the question,
Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary.
3
4
5
6
7
How high is the ramp?
8
21 ft
h ft
19 ft
Oah? + 192 = 21°: 80 ft
Ob. ha + 192 = 212: 8.9 ft
Och + 19 = 21; 2 ft
Od 212 + 192 = h2,28.3 ft

Answers

You see the thing here is you have to follow directly of the formula

Mhanifa can you please help with this??? Look at the picture attached. Thanks!

Answers

Answer:

Properties of a rhombus used to solve the following

Opposite angles are congruentDiagonals are angle bisectorsDiagonals are perpendicular to each otherAdjacent angles are supplementary

(30)

∠2 = ∠3 = ∠5 = 27°∠1 = ∠4 = 180° - (2*27°) = 126°

(31)

∠4 = 70°∠1 = ∠2 = ∠3 = ∠5 = 1/2(180° - 70°) = 1/2(110°) = 55°

(32)

∠1 = ∠2 = ∠5 = 90° - 26° = 64°∠3 = 26°∠4 = 90°

Trish takes a Frenchy want to $5500 at a simple interest rate of 6% per year. Which of the following is closest to the amount of interest she will or after 2.5 years?

F. $825.00
G. $8,043.75
H. $80.44
J. 643.50

Please help I can’t figure it out
ASAP

Answers

Answer:

F

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 5500 × 0.06 × 2.5 = 825

I = $ 825.00

The simple interest accumulated

on a principal of $ 5,500.00

at a rate of 6% per year

for 2.5 years is $ 825.00.

There are 12 pieces of fruit in a bowl. Seven of the pieces are apples and two are peaches. What is the probability that a randomly selected piece of fruit
is not an apple or peach? Express your answer as a percent rounded to the nearest whole percent.

Answers

75% because it would be 9/12 as a percent

Answer:

25 percentage

Step-by-step explanation:

hope it helps you

One of the great mysteries of the world is why hotdogs and hotdog buns come in packages of different sizes. Hotdogs come in packs of 8 and buns come in packs of 12 at your local store. What is the least number of each you can buy in order to have an equal number of hotdogs and buns

Answers

Answer:

Two packs of buns and three hotdog packages

Step-by-step explanation:

What is the area of the octagon, rounded to the nearest square inch? 88 in.2 175 in.2 332 in.2 700 in.2

Answers

Answer:C

Step-by-step explanation:332 square in

Answer:

The answer is C, 332 in.2.

Step-by-step explanation:

Just did the unit test on edge. Hope this was able to help, have a good day <3 :)

Coach Mason bought some fruit for his team.

He bought 12 pieces of fruit.
Apples cost $0.85.
Bananas cost $0.70.
The total cost was $9.75.
How many bananas did Coach Mason buy?

Answers

Answer:

1.55

Step-by-step explanation:

its refers to term that have a formal definition and can be defined using other geomethrical terms

Answers

Answer:

Step-by-step explanation:

The answer is defined terms

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