On a map’s coordinate grid, Panthersville is located at (−3, 2), and Heel City is located at (4, 8). Falconton is the midpoint between Panthersville and Heel City. What is the approximate distance from Panthersville to Falconton? (Each unit on the grid represents 1 mile.) A. 3.25 miles B. 4.61 miles C. 5.00 miles D. 9.22 miles

Answers

Answer 1

Answer:

The approximate distance from Panthersville to Falconton is: B: 4.61 miles.

Step-by-step explanation:

Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)

First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )

-To find the distance between the two cities we use the distance formula:

d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.

Once we plug it in we get:

d= √(4 - -3)^2 + (8 - 2) ^2

Then we solve the numbers in the parenthesis  (4 - -3) = 7 and (8 - 2) = 6 so now we have:

d= √(7)^2 + (6) ^2

Next we solve for the exponents  (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:

d= √49 + 36

After that we just add both numbers together (49 + 36) = 85

d= √85

Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.

So the distance from Panthersville to Heel City is about 9.22 miles.

Now we found the full distance we now need to find the distance from  Panthersville to Falconton which is just half of that distance due to   Falconton being the midpoint.  

All we have to do is divide 9.22 by 2 and we get 4.61.

The distance from Panthersville to Falconton is 4.61 miles.


Related Questions

Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.
4, 7, 9, 11, 12,...

Answers

Answer:

Not arithmetic

Step-by-step explanation:

Arithmetic sequences go up by the same number or down by the same number.

From 4 to 7 thats up by 3

From 7 to 9 that's up by 2

Conclusion: not arithmetic

Answer:

The sequence is not an arithmetic sequence.

Step-by-step explanation:

4 is getting added by 3 to get 7

7 is getting added by 2 to get 9

9 is getting added by 2 to get 11

11 is getting added by 1 to get 12

As you can see, the sequence is not consistent. Therefore, it is not an arithmetic sequence.

25. Ava found that 5 cars passed her house in 10 minutes. Which of the following is a unit rate per hour for this situation? A 10 cars per hour 20 cars per hour B) 30 cars per hour D 40 cars per hour​

Answers

Answer:

B. 30 cars per hour

If 5 cars pass her house in 10 minutes then 30 cars will pass her house per hour

hope you got it xx

Answer :
option B 30 cars per hour

Step by step explanation:

Cars passed in 10 minutes = 5.
Cars passed in 60 minutes (one hour) = unknown

Notice how 10/2 = 5?
Same way 60/2 = 30

Hence, cars passed in 1 hour is 30 cars

Which of the following represents continuous data? A. Amount of coins in your pocket B. Time it takes to count the coins in your pocket C. Number of collector coins you own D. Value of the coins in your pocket

Answers

Answer:

Time it takes to count the coins in your pocket

Step-by-step explanation:

answer is b. time it takes to count coins in your pocket

The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?

Answers

Answer:

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Step-by-step explanation:

[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]

Annually= Yearly, A year has 365 days.

They work 40 hours a week, 8*5=40.

There are aprox, 10 holidays in a year. (You can change this in your work)

They have 2 weeks unpaid vacation, 14 days.

There are aprox, 52 weeks in a year. (You can change this in your work)

52 weeks - 2 weeks of unpaid vacation= 50 weeks.

Now Let's calculate the weekly income, for

$8.10*40=$324 per week.

$8.25*40=$330 per week.

$8.45*40=$338  per week.

$8.75*40=$350 per week.

$9.00*40=$360  per week.

$9.25*40=$370 per week.

$10.50*40=$420  per week.

Now Let's calculate the annually income, for each clerk.

324*50=16,200 + 648=16,848

330*50=16,500 + 660=17,160

338*50=16,900 + 676=17,576

350*50=17,500  + 700=18,200

360*50=18,000 + 720=18,720

370*50=18,500 + 740=19,240

420*50=21,000 + 840=21,840

Now the total annual payroll=

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Answer: $129,584 is the annual pay

Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counting forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(

Answers

Answer:

The least number of steps she takes to reach 20 m is 118 steps

Step-by-step explanation:

For Laura, the length of a walking step = 50 cm = 0.5 m

The repeating number of steps she takes = Two steps forward one step backwards

The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps

Given that she always takes two steps forward and one step backwards, we have;

The number of steps forward every three steps = 2 step forward + (-1) step (backward)

The number of steps forward every three steps = 2 - 1 = 1 step forward

To reach 39 steps forward, she would need 39 × 3 =  117 steps

To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps

Therefore, the least number of steps she takes to reach 20 m = 118 steps.

I wrote the answer somewhere else and it wouldn’t let me copy and paste so here’s the screenshot

help me find VW and YZ

Answers

Answer:

VW=35

YZ=50

Step-by-step explanation:

As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:

2(4y+7)=12y-14

8y+14=12y-14

4y=28

y=7

So, VW=4(7)+7=35.

Similarly, you can find YZ through VT:

2(7x-17)=8x+2

14x-34=8x+2

6x=36

x=6

Therefore, YZ=8(6)+2=50.

VW=35
YZ=50 I believe this is the correct answer

Compute the odds in favor of obtaining a number divisible by 5 in a single roll of a die.

Answers

Answer:

1/6 or 16.7% chance

Step-by-step explanation:

A die has 6 sides, and there is only one side with a number divisible by 5, which is the number 5.

So, the probability of rolling a number divisible by 5 is 1/6.

= 1/6 or 0.167

The odds in favor of obtaining a number divisible by 5 will be 1/6 or 0.1667.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The die is rolled for a single time. Then the total number of the events will be

Total event = 6 {1, 2, 3, 4, 5, 6}

The odds in favor of obtaining a number divisible by 5 will be

There is only one number that is divisible by 5 which is 5.

Then the number of favorable events will be

Favorable event = 1 {5}

Then the probability will be

P = 1 / 6

P = 0.1667

The odds in favor of obtaining a number divisible by 5 will be 1/6 or 0.1667.

More about the probability link is given below.

https://brainly.com/question/795909

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help me plz i wnt help plz i want help

Answers

Answer:

C)28in

Step-by-step explanation:

To get the area of this face, we will divide it into 3 sections.

Area of the 1st section:

Given:

l=4in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in^2

Area of the 2nd section:

Given:

l=2in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=2in*2in

a=4in^2

Area of the 3rd section:

l=8in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in*2in

a=16in^2

a1+a2+a3=Area of the face

8in^2+4in^2+16in^2=28in^2

Hope this helps ;) ❤❤❤

The answer is c, 28 in. I hope this helps

Choose a number line to model the following situation:

The temperature outside rose 15° and then dropped 15°. (4 points)

a
A vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.

b
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.

c
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0.

d
A vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30.

Answers

Answer: A

Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)

Hope this Helps :))

Hxjs sis siss is ais sis sis sisw is

Find the value of x. A. 45 B. 30 C. 6 D. 15

Answers

Answer:

answer is b

Step-by-step explanation: i am sure of it

Answer:

D. 15

Step-by-step explanation:

Both equations need the same end result because this is a square:

3x - 15 = 45 - x =

3x - 3x = 45 - x - 3x

0 = 45 - 4x

4x = 60

4x/4 = 60/4 =

X = 15

Check:

3(15) - 15 = 45 - 15

45 - 15 = 45 - 15

30 = 30

Liam tried to define a translation. - Point A maps to point A' - Every point P maps to point P' such that PP' is parallel to AA' and points in the same direction as AA' Which counterexample shows that Liam's definition does not fully define a translation?

Answers

Answer:

B

Step-by-step explanation:

This is the correct answer.

From The diagrams shown here, the option that does not fully define a translation is B.

What is a translation in mathematics?

In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.

The translation in this question is option B given the definition that we have above.

Read more on translation here: https://brainly.com/question/1046778

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Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn One-sixth d One-sixth dd Mark One-eighth d One-eighth dd One-sixth d minus one-eighth d = 48 One-sixth d + one-eighth d = 48 One-sixth d minus one-eighth d = 1 One-sixth d + one-eighth d = 1

Answers

Answer:

  One-sixth d + one-eighth d = 1

Step-by-step explanation:

When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...

  (Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed

  (1/6)d + (1/8)d = 1 . . . . matches the last choice

the awnser would be 1

If the Federal Resene sets the reserve rate to 20%, what is the resulting money multiplier?​

Answers

Answer:

5

Step-by-step explanation:

Money multiplier helps to explain how an economic activity boosts the economic output for the country. It shows how saving in terms of deposit increases the net supply of money in any economy.

Money multiplier = 1/reserve ratio

given reserve ratio = 20% = 20/100 = 0.2

thus,

Money multiplier = 1/0.2 = 5

The answer is 5
——————-

Find the distance between (-5,-6) and (-3,-8 WILL GIVEBRANLIEST TO FIRST PERSON WHO AWNSES WITH EXPLANATION

Answers

Answer:

d = √8

d ≈ 2.82843

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in our coordinates into the distance formula:

[tex]d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}[/tex]

[tex]d = \sqrt{(2)^2+(-2)^2}[/tex]

[tex]d = \sqrt{4+4}[/tex]

[tex]d = \sqrt{8}[/tex]

To find the decimal, simply evaluate the square root:

√8 = 2.82843

Answer:

[tex] \boxed{2 \sqrt{2} \: \: units}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( - 5 , - 6 ) ⇒ ( x₁ , y₁ )

B ( -3 , - 8 )⇒( x₂ , y₂ )

Now, let's find the distance between these two points:

AB = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

⇒[tex] \mathsf{ \sqrt{( - 3 - ( - 5) )^{2} + {( - 8 - ( - 6))}^{2} } }[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒[tex] \mathsf{ \sqrt{ {( - 3 + 5)}^{2} + {( - 8 + 6)}^{2} } }[/tex]

Calculate

⇒[tex] \mathsf{ \sqrt{ {(2)}^{2} + {( - 2)}^{2} } }[/tex]

Evaluate the power

⇒[tex] \mathsf{ \sqrt{4 + 4} }[/tex]

Add the numbers

⇒[tex] \mathsf{\sqrt{8} }[/tex]

Simplify the radical expression

⇒[tex] \mathsf{ \sqrt{2 \times 2 \times 2}} [/tex]

⇒[tex] \mathsf{2 \sqrt{2} }[/tex] units

Hope I helped!

Best regards!

4. Multiple-Choice
1. Two complementary angles measure (12r - 18)° and (5x + 23)°. What
is the measure of the smaller angle?
(1) 5°
(2) 42°
(3) 48°
(4) 90°

I already know that the answer is 42 but I don’t know how to get that! Please help.

Answers

Sry i couldn't find the answer

Answer:

(2) 42°

Step-by-step explanation:

Copy of the given problem:

4. Multiple-Choice

1. Two complementary angles measure (12r - 18)° and (5x + 23)°. What

is the measure of the smaller angle?

(1) 5°

(2) 42°

(3) 48°

(4) 90°

Solution:

The sum of the measures of complementary angles is 90 deg.

12r - 18 + 5x + 23 = 90

We have 1 equation with two different variables, so we cannot solve the equation to find unique values of the variables.

I assume the above is an error, and both variables should be the same.

12r - 18 + 5r + 23 = 90

Combine like terms on the left side. Terms with r are combined. Terms with no variable are combined.

12r + 5r - 18 + 23 = 90

17r + 5 = 90

Subtract 5 from both sides.

17r = 85

Divide both sides by 5.

r = 5

The measures of the angles are:

12r - 18 = 12(5) - 18 = 60 - 18 = 42

5r + 23 = 5(5) + 23 = 25 + 23 = 48

The measures of the two angles are 42°  and 48°.

The smaller angle measures 42°

Answer: (2) 42°

If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2

Answers

Answer:

π/12 rad and  23π/12 rad

Step-by-step explanation:

Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.

[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]

Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]

Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°

Converting to radians;

180° = πrad

15° = 15π/180 rad

15° = π/12 rad

345° = 345π/180

345° = 23π/12 rad

The values in radians are  π/12 rad and  23π/12 rad

He’s right^ the dude above me has the right answer

Help me Guess just help please

Answers

Answer:

26

is it direct or step by step?

The correct answer is 26.

A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?

Answers

Answer:

[tex]f(t)=20000(0.85)^t[/tex]

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

[tex]f(t)=P(r)^t[/tex]

Where P is the initial value, r is the rate of decay, and t is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

[tex]f(t)=20000(0.85)^t[/tex]

ANSWER(20000)........

Me need big brain to answer this question c:

Answers

Answer:

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Step-by-step explanation:

Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.

As per the question , we have

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent? ​

Answers

The ratio is equivalent because 1/20 is 5 which means 9/10 is equal
wheres the data table ?

I need help plz step by step

Answers

Answer:

[tex]\frac{2\sqrt[3]{22} }{7}[/tex]

Step-by-step explanation:

We are asked to find the cube root of [tex]\sqrt[3]{\frac{176}{343} }[/tex]

To solve, let's start with the radical rule of having a fraction within a cuberoot, which is cubing both the numerator and denominator :

[tex]\frac{\sqrt[3]{176} }{\sqrt[3]{343} }[/tex]

Simplify both equations for the answer:

[tex]\sqrt[3]{176} = 2\sqrt[3]{22}[/tex]

[tex]\sqrt[3]{343} = 7[/tex]

[tex]\frac{2\sqrt[3]{22} }{7}[/tex]

Answer:

2∛22/7

Step-by-step explanation:

To solve, let's start with the radical rule of having a fraction within a cuberoot, which is cubing both the numerator and denominator

Hope this helps  <3

Tonya wants to estimate what proportion of the students in her dormitory like the dorm food. She interviews an SRS of 50 of the
175 students living in the dormitory. She finds that 14 think the dorm food is good.
What is the numerical value of the sample proportion p from Tonya's sample? Round to two decimal places if necessary.
p = ?

Answers

Answer: [tex]\hat{p}=0.28[/tex]

Step-by-step explanation:

Given : Tonya interviews an SRS of 50 of the 175 students living in the dormitory.

i.e. Sample size : n= 50

Number of students think the dorm food is good: x = 14

Now , the numerical value of the sample proportion p from Tonya's sample:

[tex]\hat{p}=\dfrac{x}{n}[/tex]

[tex]=\dfrac{14}{50}=0.28[/tex]

Hence, the numerical value of the sample proportion p from Tonya's sample is 0.28.

i had problems with this too but i believe it’s 0.280

Step by step on how to do this plz

Answers

Answer:

a=8/3

Step-by-step explanation:

(-1/8)a=(5/8)a-2

2=((5/8)+(1/8))a

a=8/3

Step-by-step explanation:

hope this is helpful please

-15 POINTS PLS HURRY- Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 cm to 4 cm

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]

We can disregard the units temporarily to create a ratio for 4.5 to 4:

4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:

2 · (4.5 : 4) = 9 : 8

Express as a fraction:

[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]

The answer is 9cm over 8cm

Kate wants to paddle
her canoe across the lake. To determine how far she must paddle, she paced out a triangle,counting the number of strides, as shown.
If Kate's strides average 3.5 ft, what is the
length of the longest side of the triangle?
What distance must Kate paddle across
the lake? ​

Answers

Answer:

1. Length of longest side of the triangle = 1,050 ft

2. Length = 437.5 ft

Step-by-step explanation:

Given:

Kate's strides average = 3.5 ft

Find:

1.longest side of the triangle

2.Distance must Kate paddle across the lake

Computation:

1.longest side of the triangle

longest side of the triangle = AE

So,

longest side of the triangle = 150 + 150

longest side of the triangle = 300

Length of longest side of the triangle = 300 × 3.5 ft

1. Length of longest side of the triangle = 1,050 ft

2.Distance must Kate paddle across the lake.

We know that,

ΔABD ~ ΔACE

So,

AB / AC = BD / CE

80 / 160 = BD / 250

BD = 125 Strides

Length = 125 × 3.5 ft

2. Length = 437.5 ft

the answer is in the attached image

The area of a regular hexagon is 40 in^2. What is the length of a side to the nearest tenth? A. 15.4 in. B. 9.6 in. C. 6.7 in. D. 3.9 in.

Answers

Answer:

The answer is D

Step-by-step explanation:

The answer for this is D

PLEASE HELP ME WITH MY HOMEWORK!! ASAP! WILL PICK BRAINLIEST! DUE IN 15 MINUTES!!!

Answers

Answer:

watch 11:39 . clock is 11:24 .    210m .    1mm .   12 degrees . 3/4hrs .    

Step-by-step explanation:

Step-by-step explanation:

10. It says the watch is 9 minutes fast and the time announced is 11:30 that will be 9 minutes added to the 11:30 which will give 11:39

Now, for the clock , it says the clock is 6 minutes slow, that will be 11:30 - 6 minutes the six minutes will be minused from the 30 minutes which will give 11:24

11. since it is 10 m above the ground and the full length is 220 m which part of is under the ground since we are given the length above the ground in order to find the length of the ground we say 220-10 which will give 210

so the distance of the bottom of the drill from there ground level is 210

12. x + 5

x - 3

to give their difference that will be 5+3 which will be 8

cross check

using 5 to represent x

5+5 =10

5-3 =2

the difference between them is 8 you can use another number to represent x but the difference will still be 8

13. To find the temperature if the frozen meat that will be 34 + 22 degree that gives 56

14. it says she was at the airport 1hr 30 minutes before the appointed time so if the plane was to take off by 9:00 that means she reached there 7:30 then it was 9:00 the plane was late again for 3/4 of hour late so 60 minutes makes up an hour that gives 60×3/4 that gives 45 meaning the plane was late for another 45 minutes how long does she wait that gives 1hr 30 minutes plus 45 minutes convert all to minutes =60 minutes + 30 minutes + 45 minutes which is 135 minutes convert to hour 2 minutes gives 120 seconds so 135-120 =15

so she waited at the airport for 2 hrs 15 minutes

15. since out of the 6400 Dani he paid his debt of 600 and gave it sola who has only 1900

that will be 6400-600 and 1900+600

so sola has 2500 while Dani has 5800

16. she can only pay back 40

B. (not sure)

17. meaning the sister owes 800 naira

b. by 1700+800 =2500

18. that gives 950000-97000 =853000

what is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!

Answers

Answer:

9 1/5

Step-by-step explanation:

3 2/7 * 2 4/5

Change to improper fractions

( 7*3+2)/7  * ( 5*2+4)/5

23/7 * 14/5

Rewriting

14/7 * 23/5

2 * 23/5

46/5

Changing back to a mixed number

5 goes into 45 9 times with 1 left over

9 1/5

The product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form as per the concept of simplifying fractions.

To multiply the mixed numbers 3 2/7 and 2 4/5, we need to convert them to improper fractions and then perform the multiplication.

First, convert 3 2/7 to an improper fraction:

3 2/7

= (3 x 7 + 2) / 7

= 23/7

Next, convert 2 4/5 to an improper fraction:

2 4/5

= (2 x 5 + 4) / 5

= 14/5

Now, multiply the two improper fractions:

(23/7) x (14/5) = (23 x 14) / (7 x 5)

                      = 322/35

To simplify the resulting fraction, we find the greatest common divisor (GCD) of the numerator (322) and the denominator (35), which is 7. Divide both the numerator and the denominator by the GCD:

322/35

= (322/7) / (35/7)

= 46/5

Now, express the improper fraction as a mixed number:

46/5 = 9 1/5

Therefore, the product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form.

To learn more about the fractions;

https://brainly.com/question/10354322

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Santiago is eight years younger than Juan is today. If, in four years, Santiago will be half Juan’s age, how old is Santiago today? a) 1 b) 2 c) 3 d) 4

Answers

Answer:

d) 4.

Step-by-step explanation:

Let Santiago be x years old today.

Then Juan is x + 8 years old.

In 4 years Santiago will be x + 4 years.

In 4 years Juan will be x + 12 years.

From the given information:

x + 4 = 0.5(x + 12)

x = 0.5x + 6 - 4

0.5x = 2

x = 2 / 0.5

x = 4.

Let S be Santiago’s age
Let J be Juan’s age.

Since Santiago is 8 yrs younger than Juan, we can write

Equation 1: S = J-8

In 4 yrs, Santiago age will be S + 4,
In 4 yrs, Juan’s age will be J + 4.

Given:
In 4 yrs, Santiago will be half of Juan’s age, so ..

Equation 2: S+4=(J+4)/2

We know the value of S from equation 1. Substitute S=J-8 in equation 2, we get

J -8 + 4=(J+4 )/2

J-4 = (J+4 )/2

2( J- 4) =J + 4
2J-8 =J + 4
2J-J =8+ 4
J = 12

Substitute J= 12 in equation 1
S= 12-8
S = 4

So, Santiago’s age is 4 yrs today.

What is 3 divided by 2,127

Answers

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       Hi my lil bunny!

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[tex]3\ \div \ 2127[/tex]

[tex]= \frac{1}{709}[/tex] (Decimal: 0.00141)

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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀

I think the answer is 709
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