in a community center 15 bottles are evenly spaced 12 cm apart from each other in a row for a competition
what is the distance from the fourth bottle to the tenth bottle?​

Answers

Answer 1

Answer:

72 cm

Step-by-step explanation:

Relative to the first bottle, there are n - 1 spaces between the first bottle and the nth bottle. Since, each bottle is placed relative to the first bottle.

Now, for the fourth bottle, that is, n = 4, there are 4 - 1 = 3 spaces between the first and fourth bottle.

Since each space is 12 cm, the distance between the first and fourth bottle is 12 cm × 3 = 36 cm.

Now, for the tenth bottle, that is, n = 10, there are 10 - 1 = 9 spaces between the first and fourth bottle.

Since each space is 12 cm, the distance between the first and fourth bottle is 12 cm × 9 = 108 cm.

So, the distance between the fourth bottle and tenth bottle is distance between tenth bottle to first bottle minus distance between fourth bottle to first bottle = 108 cm - 36 cm = 72 cm


Related Questions

After her mother gives her 8 pencils, Sara has (x + 8) pencils. She gives one-fourth of her pencils to to Tim. How many pencils, in terms of x, does Tim have? (Answers in the picture)​

Answers

Answer:

¼x+2 pencils

Step-by-step explanation:

¼ of (x+8)pencils

¼×(x+8)

¼x+2

Pls help Its due at 11:59 pm if I don't do think I could end up failing

Answers

Answer:

Pretty sure its 0.6x + 0.5= 0.75

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ \dfrac{5}{12}}}}[/tex]

Step-by-step explanation:

A linear equation is given to us and we need to solve the equation by converting it into a equivalent equation that does not contain fractions . So the given equation is :-

[tex]\bf\implies \dfrac{3}{5}x + \dfrac{1}{2}=\dfrac{3}{4}[/tex]

Here the denominators of the fractions are 5 , 2 and 4. So LCM of 5 , 2 and 4 is , 20 .

So , Multiply whole equation by 20 .

[tex]\bf\implies 20 \bigg( \dfrac{3}{5}x + \dfrac{1}{2} \bigg) = 20 \times \dfrac{3}{4}\\\\\bf\implies 4\times 3x + 10 = 5\times 3 \\\\\bf\implies 12x + 10 = 15 \:\: \bigg\lgroup \blue{\bf Equivalent \ equation \ without \ fractions .}\bigg\rgroup [/tex]

Now let's solve this equation since we successfully converted it into a equivalent equation without fractions.

[tex]\bf \implies 12x + 10 = 15 \\\\\bf\implies 12x = 15-10 \\\\\bf\implies 12x = 5 \\\\\bf\implies\boxed{\red{\bf x =\dfrac{5}{12}}}[/tex]

Hence the value of x is 5/12 .

Please help!! I'll give brainleist
Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for planting gardens. He can work a maximum of 40 hours per week, and would like to earn at least $250 this week. If m represents the number of hours mowing lawns and g represents the number of hours planting gardens, write a system of inequalities that could represent the given conditions.

Answers

Answer:

m + g < 40

12m + 14g  > 250

Step-by-step explanation:

Given : Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.

Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.

He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.

Then, the system of the inequality becomes

m + g < 40

12m + 14g  > 250

30 points!!!! ASAP

Triangle ABC is transformed to triangle A′B′C′, as shown below:

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair 3, 0, B at ordered pair 4, negative 2, C at ordered pair 1, negative 3. A triangle A prime B prime C prime has A prime at ordered pair negative 3, 0, B prime at ordered pair negative 4, negative 2, C prime at ordered pair negative1, negative 3.

Which equation shows the correct relationship between the measures of the angles of the two triangles?

The measure of angle ABC = The measure of angle B prime C prime A prime
The measure of angle ABC = The measure of angle C prime A prime B
The measure of angle BCA = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle B prime C prime A prime

Answers

Answer:

D

Step-by-step explanation:

Answer:

The measure of angle BCA = The measure of angle B prime C prime A prime

what is the solution to the equation? t-15=76​

Answers

Answer:

t=91

Step-by-step explanation:

2x-8+3x+2=4x+10+3x-6

Answers

x= -6, you had to isolate the variable by dividing each sides by factors that do not contain a variable.

The Guinness book of world records states that the tallest trophy is about 270 inches. If they stacked 4 of those trophies on top of each other, how high would they be?
answer plz

Answers

Hey there!

If the tallest trophy is about 270 inches, and you stack 4 of those trophies on top of each other, you'd be multiplying 270 times 4.

270×4= 1,080

So, if you stacked four 270-inch trophies on top of each other, they would be 1,080 inches high.

HELP ASAP.
1. 6 x 6 x 6 x 6 x 6=?


a, 56


b. 65

2. 3 x 3 x 3 x 3=?


a, 43


b. 34

Answers

Hey there!

#1 ⬇️

6 × 6 × 6 × 6 × 6

6 × 6 = 36

36 × 36 × 6

36 × 36 = 1,296

1296 × 6 = 7,776

Answer: 7,776 ☑️

#2 ⬇️

3 × 3 × 3 × 3

3 × 3 = 9

9 × 9 = 81

Answer: 81 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Y= -0.5x+5 3x+5y=2 what’s the answer

Answers

Answer:

x = -46

Step-by-step explanation:

Y= -0.5x+5

3x+5y=2 [replace the "y" in this problem with the what "y" equals above]

3x + 5( -0.5x + 5) = 2

3x + -2.5x + 25 = 2

0.5x = -23

x = -46

the answer is -46 !!!

Find the sum.
4/5r+10/3r

Answers

Answer:

i hope this helps

Step-by-step explanation:

Brian bought beverages for his coworkers. On Monday he bought 3 sodas and 4 iced teas for $18. On Tuesday he bought 5 sodas and 2 iced teas for $16.

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

3x+4y=18 and 5x+2y=16

x=the cost of the sodas

y=the cost of the iced teas

then you do

3x+4y=18, and 10x+4y=32 (the equation is still equivalent to 5x+2y=16, you just doubled it)

next,

10x+4y=32

-3x-4y=-18 (once the y's match, make one negative and one positive)

which leaves you with:

7x=14

which means

x=2

Plug the x value back into the equation, for this I chose to plug it back into 3x+4y=18

3(2)+4y=18

6+4y=18

4y=12

y=3

so the final answer is x=2, and y=3

Use the expression 4/3 plus 8 -9/y to find an example of each kind of the expression

Answers

Answer:

The answer is:

Quotient: 9/y

Sum: 4(3) +8

Variable is: y

Step-by-step explanation:

A quotient is the result of a division problem.

The expression 9/y represents a quotient.

A sum is the result of an addition problem.

The 4(3) + 8 represents a sum.

A variable is a letter that stands for an unknown quantity.

Y is a variable

I hope this helped you out!! :D

Answer:

Quptient: 9/y

Sum: [tex]4^{3}[/tex]+8

Variable: 7

Step-by-step explanation:

A quotient is the result of a division problem.

the expression 9/y represents a quotient

A sum of an addition problem.

The expression [tex]4^{3}[/tex]+ 8 represents a sum.

A variable is a letter that statnds for a unknown quatily

y is a variable.

The correct answers are:

Kind of expressions: Example:

Quptient: 9/y

Sum: [tex]4^{3}[/tex]+8

Variable: 7

Evaluate 7j+5−8k j=0.5 k=0.25,

Answers

Answer:

Evaluate 7j+5-8k when j=0.5 and k=0.25 Get the answers you need, now!

2 answers

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

(7*0.5)+(5)-(8*0.25)

PEMDAS

Multiply 7 and 0.5= 3.5

Multiply 8 and 0.25= 2

3.5+5-2

Add 3.5 and 5= 8.5

Subtract 8.5 and 2= 6.5

Un călător parcurge un drum în trei zile în prima zi merge o treime din drum și încă 15 km A doua zi parcurge două Septimi din rest iar în a treia zi ultimii 75 km Ce lungime are drumul

Answers

Answer:

Step-by-step explanation:

Fie distanța totală = x

Un călător parcurge un drum în trei zile

În prima zi merge o treime din drum și încă 15 km

= 1 / 3x + 15km

A doua zi călătorește două șapte din restul

= 2 / 7x

În a treia zi

75 km

Cât de lung este drumul

= 1 / 3x + 15 + 75 + 2/7 (2 / 3x).

(8x + 31) (16x - 9) whats the value of x?

Answers

Answer:

31

Step-by-step explanation:

31 weather hgrfgrrv rtgfrh rtbffh thgg thgt

Answer:

31

Step-by-step explanation:

"Which expression stands for "32 more than a number d"?"
A: 32d
B: 32 - d
C: 32 + d
D: 32 ÷ d
I really need help on this question! It's really confusing

Answers

Answer:

32+d

Step-by-step explanation:

because it's asking for 32 added on to whatever d is

example

if d=5 it would be asking what's 32 +5

Answer: I believe that the answer is C, 32+d.


Explanation: if you were trying to get 32 more than a number you would add the number plus the variable.

I hope this helps! ^^

Two bags contain marbles. Bag A contains 112 marbles, and Bag B contains 140 marbles. What percent fewer marbles does Bag A have than Bag B?

Answers

Answer:

20%

Step-by-step explanation:

sorry if i am wrong

Li Juan solves the equation below by first squaring both sides of the equation.
13 - 2w = w + 6
What extraneous solution does Li Juan obtain?
will give 36 points HURRY PLEASE

Answers

Answer:

Step-by-step explanation:

(13-2w)^2 = 169 - 52w + 4w^2

(w+6)^2 = w^2 + 12w + 36

Setting them equal:

169 - 52w + 4w^2 = w^2 + 12w + 36

3w^2 - 64w + 133 = 0

Using the quadratic formula, we get

x = (64 +/- sqrt(64^2 - 4*3*133))/6

64^2-12*133 = 2500. sqrt(2500) = 50.

x = (64 +/- 50)/6.

x = 19 or 14/6 = 7/3.

Solving the original equation:

7 = 3w.

w = 7/3.

Therefore 19 is extraneous.

x = 19 is the extraneous solution Li Juan obtained.

The given equation is 13 - 2w = w + 6.

We need to solve the equation by squaring both sides of the equation.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now,  13 - 2w = w + 6 squaring both sides of the equation.

That is, (13-2w)²= 169 - 52w + 4w²

(w+6)²= w²+ 12w + 36

Setting them equal, we get

169 - 52w + 4w² = w² + 12w + 36

⇒3w²- 64w + 133 = 0

Now, using the quadratic formula, we get

x = (64±√(64² - 4×3×133))/6

⇒x = (64±√2500)/6.

⇒x = (64±√50)/6.

⇒x = 19 or 14/6 = 7/3.

Solving the original equation, we get

7 = 3w⇒w = 7/3

Therefore, x = 19 is the extraneous solution Li Juan obtained.

To learn more about an equation visit:

https://brainly.com/question/1529522.

#SPJ5

Find the zeros of the quadratic function

Answers

Step-by-step explanation:

the answer of the question above is

a=0

b=6

c=4

Hereee +13 points + the star

Answers

-1/2x -1 is the equation for this graph

What is the volume of a rectangular prism that is 1 1/2 inches by 2 1/4 inches by 4 inches? Show your reasoning

Answers

help please someone

The volume of the rectangular prism is given by the equation

A = 13 1/2 inches³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular prism be represented as A

Now , the equation will be

The length of the rectangular prism L = 1 1/2 inches

The length of the rectangular prism L = 1.5 inches

The width of the rectangular prism L = 2 1/4 inches

The width of the rectangular prism L = 2.25 inches

The height of the rectangular prism L = 4 inches

So , the volume of the rectangular prism A = Length x Width x Height

Substituting the values in the equation , we get

The volume of the rectangular prism A = 1.5 x 2.25 x 4

On simplifying the equation , we get

The volume of the rectangular prism A = 13.5 inches³

Hence , the volume of rectangular prism is  13.5 inches³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ5

Find the slope given the points (-2,-9) and (-1,-3).

will give brainliest!!!!

Answers

Answer:

The slope is 6

Step-by-step explanation:

Y2-Y1 / X2-X1

-3-(-9) / -1-(-2)

6

Answer:

m = 6

Step-by-step explanation:

slope (m) = rise / run

rise = y2 - y1 = -3 - (-9) = 6

run = x2 - x1 = -1 - (-2) = 1

slope = 6/1 = 6

PLEASE HELP ME !!

Find the slope of the line that goes through the points (18,-4) & (-6,4) as a reduced fraction.

Answers

Answer:

1/3

Step-by-step explanation:

Slope = rise/run = (4- -4)/(-6-18) = 8/24 = 1/3

i need help 2021 bad already

Answers

Answer:

i think its1. true2. false 3.true4. false

Step-by-step explanation:

Answer:

1. false 2. false 3. true 4. true

Step-by-step explanation:

yw

Triangle Congruence Theorems help!!

Answers

Answer:

1,2,4

Step-by-step explanation:

I hope this helps

Find an expression which represents the sum of (9x+4y) and (-6x+4y) in simplest terms.

Answers

Answer:

54x+16y

Step-by-step explanation: u have insta

Ok the answer Is 3x+8y trust me it'll save you in algebra

the equation of line r is y= -7/2x + 3. line s is parallel to line r. what is the slope of line s?

Answers

Answer:

m = -7/2

Step-by-step explanation:

If two lines are parallel, they have the same slope. The slope of r is -7/2 (y=mx+b), so the slope of r is also -7/2.

there are 63 students on the bus with a ratio of 2 girls to 5 boys. How many boys are on the bus?
45
18
7
35

Answers

Answer:

45

Step-by-step explanation:

2x+5x=63

7x=63

x=9

number of boys =5×9=45

help plz !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

h=2

Step-by-step explanation:

If fifteen workers did a job in eight hours, how long would it take five workers to do half of this job?

Answers

Answer:

2 i think

Step-by-step explanation:

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