A circular garden has a circumference of 50 yards. Lars is digging a straight line along a diameter of the garden at a rate of 4 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary.

Answers

Answer 1

Answer:

8

Step-by-step explanation:

The first step is to calculate the radius

r= C/2π

= 50/2×3.142

= 50/6.284

= 7.96

Hence the diameter to the nearest whole number is 8


Related Questions

Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
Some number increased by two A) y2
A variable decreased by two B) x − 2
Product of an unknown value and two C) b + 2
Quotient of some number and two D) 2z
An unknown value squared E) a ÷ 2

Answers

Answer:

match

Step-by-step explanation:

alex works for his father assembling clock motors he is paid a piecework rate of $8.50 per motor. this week he assembled 21 motors

Answers

Answer: $178.50

Step-by-step explanation:

If Alex is paid a piecework rate of $8.50 per motor, then;

Price per motor assembly = $8.50

By assembling 21 motors Alex gets,

1 motor = $8.50

21 motors = (21 * $8.50) / 1

= $178.50 / 1

= $178.50

By assembling 21 motors,

Alex gets $178.50

If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC





Answers

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Consider the function represented by the graph. What is the domain of this function?
A. {x|x=>0}
B. {x|x<=8}
C. {x|0<=x<=8}
D. {x|x<=0x=>8}

Answers

Answer:

I think it is B but i'm not 100% sure.

Step-by-step explanation:

Function operations

Answers

Answer:

it manages and controls input output devices.

Which expression is equivalent to 3x+2

Answers

Answer:

(3 x X) + 2

Can be a possible way if you factor it out I think.

What scale factor was used in the dilation of ABC to FED? ​

Answers

Answer:

SF= 2

Step-by-step explanation:

Side AB had the legnth of 4

the congruent side of EF has a length of 8

therefore the original shape doubled in size

(4x2=8)

The equation of a circle is x^2 + y^2 = 56.25

Answers

Answer:

Step-by-step explanation:

General equation of circle with center at (0, 0) : x² + y² = r²

x² + y² = 56.25

x² + y² = 7.5²

Radius = 7.5 units

Center (0 , 0)

Helloooo what yeaaa

A die is rolled 30 times. How many times can you expect it to land on a number less than 5?

Answers

Answer:

5/6 is your answer

Step-by-step explanation:

no. of favourable observation/ total no of observation

A pendulum's first swing has an arc of 36 inches. As the pendulum swings back and forth, the arc length for each successive swing is 95% of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 27 inches? A. 5th B. 6th C. 7th D. 9th

Answers

Answer:

7th

Step-by-step explanation:

Given :

Arc length on first swing = 36 inches

After successive swing, arc length decreases by 95%

Length on 2nd swing = 0.95 * 36 = 34.2

Length on 3rd swing = 0.95 * 34.2 = 32. 49

Length on 4th swing = 0.95 * 32.49 = 30.8085

Length on 5th swing = 0.95 * 30.8085 = 29.268075

Length on 6th swing = 0.95 * 29.268075 = 27.80467125

Length on 7th swing = 0.95 * 27.80467125 = 26.4144376875

26.4144376875 < 27

Hence, length falls below 27 on 7th swing

Allison invested $70,000 in an account paying an interest rate of 6.2%
compounded continuously. Assuming no deposits or withdrawals are made,
how long would it take, to the nearest year, for the value of the account to
reach $223,200?

Answers

Answer: 19

Step-by-step explanation: j trust me

A grocery store offers a service where customers can place an order and have their groceries delivered to their home for a additional fee. The equation y=1.5x can be used to find y, the total cost in dollars for x, the grocery cost In dollars. Ian has groceries delivered for a total cost of &125.90. He says his grocery cost must be $118.90. Is Ian correct? Explain your reasoning

Answers

Answer:

The answer is below

Step-by-step explanation:

A linear function graph can be represented by:

y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.

Given that y represents the total cost, x represent the grocery cost and the equation is given as:

y = 1.5x

The groceries where delivered for a total cost of $125.90, The grocery cot can be gotten by substituting y = 125.9 and calculating x. Hence:

125.9 = 1.5x

x = 125.9/1,5

x = $83.93

Therefore saying that the grocery cost must be $118.90 is incorrect.

PLSS HELP ME ASAP I WILL EVEN GIVE U BRAINLYEST BUT PLAA HELP ME!!

Is the probability of red a simple event, complement of a
simple event, or neither?
A. complement of a simple event
B. nelther
C. simple event

Answers

Answer:

Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

Dax is buying hot chocolate for 5 people in his office (including himself). He pays for the 5 drinks and leaves a $2.00 tip.

If the total, with tip, is $18.25, how much is each cup of hot chocolate?

Enter your answer as a decimal, like this: 42.53

Answers

Answer: Each cup of hot chocolate is $3.25

Step-by-step explanation:

Please help me simplify this expression!!

Answers

Answer:

[tex]w^{14}[/tex]

Step-by-step explanation:

[tex]\frac{1}{w^{11} } *w^{25}\\\\\\\frac{w^{25}}{w^{11}} \\\\w^{14}[/tex]

Eli runs 5 meters per second.

On a coordinate plane, a line goes through points (1, 5) and (2, 10)..

Use the graph to identify the independent and the dependent variable. Check all that apply.
The two variables are Eli and 5.
The two variables are meters and seconds.
Meters are graphed on the x-axis.
Meters are graphed on the y-axis.
Seconds is the independent variable.
Seconds is the dependent variable.


will some on really help me know?

Answers

Answer:

Its B, D, E

Step-by-step explanation:

Answer:

what the person above me said    

Step-by-step explanation:                                   =

                                                                            =====

                                                                        =========

                                                                    =============

                                                               ==================

                                                                           =====

                                                                           =====

                                                                           =====

                                                                           =====

                                                                           =====

During a hone run hitting contest Joe D hit 5 more home runs then ted w, ted w hit 8 more home runs then willie M. Altogether the three baseball players hit 105 hone runs, how many home runs did Ted W hit

Answers

Answer: 36

Step-by-step explanation:

Let Willie number of home run he represented by x.

Since ted w hit 8 more home runs than willie M, Ted home runs = x + 8

Since Joe D hit 5 more home runs than ted w, Joe D home run will be: = x + 8 + 5 = x + 13

Since they hit 105 home runs together, this will be represented as:

x + (x+8) + (x+13) = 105

x + x + 8 + x + 13 = 105

3x + 21 = 105

3x = 105 - 21

3x = 84

x = 84/3

x = 28

Number of Ted home run will be:

= x + 8

= 28 + 8

= 36

) Hiroki's goal is to collect $40 for a school fundraiser. He has already collected $26.50. Hiroki wants
to know how much more money he needs to collect.
that use the word correctly
ices, press the "Check Me" butto
6 POTE
.) Let m be the amount of money Hiroki still needs to collect.
Describe the situation with an equation.
this town made the first eleva
er and wrote a note on it
vater from the sink is leaking
color of copper coins
m
26.50
40
corper pipes for this project
De

Answers

Answer:

$13.50

Step-by-step explanation:

Subtract 40 from 26.50 to get the answer

A caterer combines 4 quarts of pineapple juice 7 pines of milk and 4 cups of apple juice to make soothies how many cups can be filled with smoothies? Explain

Answers

Answer:

The answer is " 34 Cups".

Step-by-step explanation:

4 quarts of pineapple juice= 16 cups

7 pines of milk = 14 cups

4 cups apple juice is the same= 4 cups

Calculating the overall cups:

[tex]\to 16+14+4\\\\\to 34 \ cups[/tex]

.A bag contains 3 red checkers and 5 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is the P(black, then red)?

Answers

Answer: 15 / 56

Step-by-step explanation:

Number of red checkers = 3

Number of black checkers = 5

Total number of checkers = 8

P(black, then red) = 5/8 × 3/7 = 15/56

We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.

CAN SOME0NE PLEASE HELP MEEE ASAP!!

Answers

Answer:

[tex]x = 35.6[/tex]

Step-by-step explanation:

It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.

[tex]\frac{KL}{FE}[/tex]

[tex]=\frac{55}{17}[/tex]

Now to find a missing side in figure (LKJI) one must multiply its corresponding side by ([tex]\frac{55}{17}[/tex]) in figure (HGFE) to find the length of the missing side.

[tex]EF * \frac{55}{17} = JI\\\\11 * \frac{55}{17} = JI\\\\\frac{605}{17} = JI[/tex]

[tex]x = \frac{605}{17}\\\\x=35.6[/tex]

Answer:

IJ ≈ 35.6

Step-by-step explanation:

Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{IJ}{EF}[/tex] = [tex]\frac{KL}{GH}[/tex] , substitute values

[tex]\frac{IJ}{11}[/tex] = [tex]\frac{55}{17}[/tex] ( cross- multiply )

17 IJ = 605 ( divide both sides by 17 )

IJ ≈ 35.6 ( to the nearest tenth )

Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%​

Answers

Answer:

i. 818.18

ii. 940.9

Step-by-step explanation:

SP = 900

or, CP + 10% of CP = 900

or, CP + 10/100 × CP = 900

or, 110CP = 90000

or, CP = 90000/110

CP = 818.18

for profit= 15%

SP = 9000/11 + 15% of 9000/11

= 940.9

HELPPP PLEASEE!!!DONT ANSWER IF YOU DONT KNOW!!

Answers

Answer:

-4

Step-by-step explanation:

uh its coordinates planes you can ss it and send it to me as the answer on here ty ill give brainlist to the first person that gets it right ty ty

Answers

Answer:

G

Step-by-step explanation:

Dude really

Answer:

A. G is the correct answer

Step-by-step explanation:

the quadrants are shown in the picture

and G. is the only one that fits the description

hope this helps <3

HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
SHOW FORMULA
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies

Answers

25% of the cookies :)

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.

Answers

Answer:

Percent sales tax = 9%

Step-by-step explanation:

Listed price = $29

Price with tax = $31.61

Amount of tax = Price with tax - Listed price

= $31.61 - $29

= $2.61

Find the percent sales tax.

Percent sales tax = $2.61/$29 × 100

= 0.09 × 100

= 9%

Percent sales tax = 9%

Three erasers and five pencils cost $7.55. 6 erasers and 12 pencils cost $17.40. How much does 1 eraser cost? How much does 1 pencil cost?

Answers

Answer:

Step-by-step explanation:

erasers=e  

pencils=p

3e+5p=7.55   ...(1)

6e+12p=17.40

divide by 2

3e+6p=8.70  ...(2)

(2)-(1) gives

p=8.70-7.55=1.15

from (1)

3e+5(1.15)=7.55

3e+5.75=7.55

3e=7.55-5.75

3e=1.80

e=1.80/3=0.60

cost of 1 eraser=$0.60

cost of 1 pencil =$1.15

The Girl Scouts were selling cookies outside the local grocery store. Each box sold for $4.50.
Which equation could be used to complete the table?
Boxes
Price
1
2
3
4
10
15
18
4.50
9.00
13.50
18.00
45.00
67.50
?
A
y - 4.50 = 18
B
4.50y = 18
С
4.50 x 18 = y
18y = 4.50
I’m

Answers

If your needing to find the amount just multiply the number of boxes by it’s price. So the answers C.

ANDWER CHOICES:

14cm
20cm
8cm
6cm

I NED HELP ASAP!!!!

Answers

20 cm is the answer to the question

5. find M<C congruent triangles ​

Answers

Answer:

x = 18 / M<C = 114

Step-by-step explanation:

9x - 24 = (2x - 12) + (4x + 42)

9x - 24 = 6x + 30

     +24         +24

9x = 6x + 54

-6x    -6x

3x = 54

/3     /3

x = 18

C = (4x + 42) = 4(18) + 42 = 72 + 42 = 114

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