Barry is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old is each now?

The 7 feet of fabric were remaining.

To solve this problem step by step:

1. Convert the length of the roll of fabric from inches to feet.

  - 120 inches ÷ 12 inches/foot = 10 feet

2. Subtract the length purchased by the customer from the total length of the roll.

  - 10 feet - 3 feet = 7 feet

So, the customer bought 3 feet of fabric, leaving 7 feet remaining.

1. To convert inches to feet, we know that there are 12 inches in a foot. So, we divide the length of the fabric in inches by 12 to get the length in feet.

  - 120 inches ÷ 12 inches/foot = 10 feet

2. Next, we subtract the length purchased by the customer (3 feet) from the total length of the roll (10 feet) to find out how much fabric remains.

  - 10 feet - 3 feet = 7 feet

Therefore, the customer bought 3 feet of fabric, leaving 7 feet remaining.

Complete question:

A roll of fabric was 120 inches long. A customer bought 3 feet of the fabric.

How many feet of fabric were remaining?

Answer:

The larger model’s volume is 3 times greater than the volume of the smaller model

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base of pyramid

h is the height of the pyramid

Find the volume of the smaller model

we have

[tex]h=10\ cm[/tex]

substitute

[tex]V=\frac{1}{3}B(10)[/tex]

[tex]V=\frac{10}{3}B\ cm^{3}[/tex]

Find the volume of the larger model

we have

[tex]h=30\ cm[/tex]

substitute

[tex]V=\frac{1}{3}B(30)[/tex]

[tex]V=\frac{30}{3}B=10B\ cm^{3}[/tex]

To find how many times greater than the smaller model is the larger model’s volume, divide the volume of the larger model by the volume of the smaller model

so

[tex]10B/(\frac{10}{3}B)=3[/tex]

The larger model’s volume is 3 times greater than the volume of the smaller model

Answer:

J

Step-by-step explanation:

Find the common ratio r of the geometric sequence then multiply a term by r to obtain the next term

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{-36}[/tex] = - [tex]\frac{1}{6}[/tex]

The next 3 terms are

[tex]\frac{1}{6}[/tex] × - [tex]\frac{1}{6}[/tex] = - [tex]\frac{1}{36}[/tex]

- [tex]\frac{1}{36}[/tex] × - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{216}[/tex]

[tex]\frac{1}{216}[/tex] × - [tex]\frac{1}{6}[/tex] = - [tex]\frac{1}{1296}[/tex]

Answer:

J. [tex]-\frac{1}{36}[/tex], [tex]\frac{1}{216}[/tex], [tex]-\frac{1}{1296}[/tex]

Step-by-step explanation:

We are given the following geometric sequence and we are to find its 8th term:

[tex]-36, 6, -1, \frac{1}{6},...[/tex]

Here [tex]a_1=-36[/tex] and common ratio [tex](r) = \frac{-1}{6}=\frac{-1}{6}[/tex].

The formula we will use to find the next three terms is:

nth term = [tex]a_1 \times r^{(n-1)}[/tex]

5th term = [tex]-36 \times \frac{-1}{6}^{(5-1)}[/tex]  = [tex]-\frac{1}{36}[/tex]

6th term = [tex]-36 \times \frac{-1}{6}^{(6-1)}[/tex]  = [tex]\frac{1}{216}[/tex]

7th term = [tex]-36 \times \frac{-1}{6}^{(7-1)}[/tex]  = [tex]-\frac{1}{1296}[/tex]

Answer:

Option D. $2273.13

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=7\ years\\ P=\$1,685\\ r=0.043\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$1,685 (1+\frac{0.043}{4})^{4*7}=\$2,273.13[/tex]  

Answer:

Plane: C) A flat surface that extends infinitively and has no depth; it has length and width

Perpendicular Lines: B) Two lines that intersect at 90° angles

Parallel Lines: E) Two lines that lie within the same plane and never intersect

Circle: D) A set of all points in a plane that are given distance from a plane

Angle: A) A figure consisting of two rays with a common endpoint

I hope this helps

this is 100% correct

plz mark me brainliest

Hello! :)

The answer is probably from changing first to decimals by dividing by 100: 90 and 30 become .9 and .3.

Then, multiply the two: .9 x .3 = .27

Finally, you multiply .27 by 100 = 27

Add the percentage sign: 27%

So there is a 27% chance that it will rain and the baseball game is postponed.

Very unlikely, I know. ;D

Hope this helped and I hope I answered in time!

Good luck!

~ Destiny ^_^

The probability it will rain tomorrow and the baseball game is postponed is 0.93 .

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

According to classical definition of probability, a random experiment consists of a set of possible outcomes and each set of possible outcomes is equally likely to occur in the course of the event.

It is given that there is a 90% chance of rain tomorrow and a 30% chance that the baseball game is postpone.

Let A be the probability that there is a chance of rain tomorrow and B be the probability that the baseball game is postpone.

P(A) = 90% = 0.9 and P(B) = 30% = 0.3 and P(A∩B) = (0.9*0.3) = 0.27 .

The probability it will rain tomorrow and the baseball game is postponed is given by P(A∪B) .

By formula,

⇒ P(A∪B) = P(A) + P(B) - P(A∩B)

⇒ P(A∪B) = 0.9 + 0.3 - 0.27

∴  P(A∪B) = 0.93 .

Therefore, the probability it will rain tomorrow and the baseball game is postponed is 0.93 .

To learn more about concepts of probability, refer -

brainly.com/question/13604758

#SPJ2

Answer:

A. (0,0)

Step-by-step explanation:

both lines run through (4,-4)

they meet at 0 on the Y axis

so the answer is (0,0)

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

x = -3

Collect all solutions;

x = 1, -3

Answer:

5 factories closed

Step-by-step explanation:

In 2014 there were 15 operating factories.

We know that of those 15 factories only 2/3 remain operative.

If only 2/3 remain operational this means that 1/3 of them closed.

To calculate the number of factories that closed we must multiply the initial number of operative factories by 1/3.

This is:

[tex]15 * \frac{1}{3} = \frac{15}{3} = 5[/tex].

5 factories closed

Answer: N=8

Step-by-step explanation: So 1/2*4=2 then you know that you need 4 to get to six because you already have two. Then 8/2=4 so N=8.

1/2(8+4)=6

4+2=6

6=6

Hope this helped!!!!!

Final answer:

To find the value of n that satisfies the equation 1/2 (n+4)=6, multiply both sides by 2 and subtract 4 from both sides to get n=8.

Explanation:

The student's question asks for the solution to the algebraic equation: 1/2 (n+4)=6. To solve for n, follow these steps:

Therefore, the value of n that makes the equation true is 8.

Answer:

C

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = [tex]\frac{1}{3}[/tex] πr² h

where r is the radius and h the perpendicular height

here r = 5 and h = 6, hence

V = [tex]\frac{1}{3}[/tex] × π × 5² × 6

   = 2π × 25 = 50π m³ → C

The volume of the cone is [tex]\( 50\pi \, \text{m}^3 \).[/tex]

How to get the volume of the cone

The formula for the volume v of a cone is given by:

[tex]\[ V = \frac{1}{3} \times \pi \times r^2 \times h \][/tex]

The variables in the formula are:

r is the radius of the base of the cone.

his the height of the cone.

Given a cone with radius r = 5 meters and height h = 6 meters, substitute these values into the formula:

[tex]\[ V = \frac{1}{3} \times \pi \times (5^2) \times 6 \]\[ V = \frac{1}{3} \times \pi \times 25 \times 6 \]\[ V = \frac{1}{3} \times \pi \times 150 \]\[ V = 50 \pi \][/tex]

Therefore, the volume of the cone is [tex]\( 50\pi \, \text{m}^3 \).[/tex]

Bill is the one who wrote this statistical question so there will be there will be variability in the responses collected.

Bill, because there will be variability in the responses collected

My answers are in the picture above.

Answer:13

Step-by-step explanation:

5x+15=7x-11

7x. 7x

2x+15=11

+15 +15

2x =26

———

2

x = 13

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal. The value of x is 13.

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

In an isosceles trapezoid, the angles formed at the ends of any one of the parallel lines are congruent. Therefore, we can write,

5x+15 =7x-11

15+11=7x-5x

26=2x

x = 13

Hence, the value of x is 13.

Learn more about Trapezoid:

https://brainly.com/question/8643562

#SPJ2

Answer:im not sure but if im correct the answer should be 6

Step-by-step explanation:im assuming this cause if 8/4 is 2 then take the 2 and times it with the 3

Answer:

Area of ΔEDF = 4.5 in²

Work shown image:

Answer:

165 KBS and 750 jump rope

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

First find the average the numbers (40 / 4 = 10)

2 are more and 2 are less

7, 9, 11, 13

An odd number can be written as 2n+1, where n is an integer. Four consecutive odd numbers can be written as 2n-3, 2n - 1, 2n + 1 and 2n + 3. Adding these together gives you 8n, which we are told is 40. So n is 5 and the four consecutive odd numbers are 7, 9, 11 and 13.

Answer:

29/40

Step-by-step explanation:

A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. The exact probability that Taylor picks an egg from the basket is;

(14+15)/(14+15+11) = 29/40

Answer:

The exact probability that Taylor picks an egg from the basket is 0.725

Step-by-step explanation:

A basket contains 14 white eggs, 15 brown eggs and 11 lemons.

Total number of items in the basket [tex]=14+15+11= 40[/tex]

Total number of eggs in the basket [tex]=14+15= 29[/tex]

Taylor picks one item at random from the basket.

So, the probability that Taylor picks an egg [tex]=\frac{total\ number\ of\ eggs}{total\ number\ of\ items}=\frac{29}{40}=0.725[/tex]

Answer:

[tex]100\ yd[/tex]

Step-by-step explanation:

we know that

Applying the law of cosines

[tex]c^{2} =a^{2}+b^{2}-2(a)(b)cos(C)[/tex]

In this problem we have

c-----> is the distance from her starting point

[tex]a=100\ yd[/tex]

[tex]b=100\ yd[/tex]

[tex]C=60\°[/tex]

substitute

[tex]c^{2} =100^{2}+100^{2}-2(100)(100)cos(60\°)[/tex]

[tex]c^{2} =10,000+10,000-10,000[/tex]

[tex]c^{2} =10,000[/tex]

[tex]c=100\ yd[/tex]

Answer:

24 π square inches

Step-by-step explanation:

The area of a circule is give by the formula A = π r²

Since we have a angle of 60 degrees, that represent 1/6th of the whole area (60 / 360 degrees).

A circle = π * 12² = 144 π square inches

Area of the portion representing 60 degrees of the circle, can easily be calculated with a cross-multiplication:

[tex]\frac{x}{144\pi } = \frac{60}{360}[/tex]

x = 144 π / 6 = 24 π square inches

Wym is this multiplication

Answer:

The original price was $85

She spent $72.25

Step-by-step explanation:

When x equals the price of the chair:

12.75/15 = x/100

15 x = 1275

x = $85

To find the price she paid:

85 - 12.75 = $72.25

(3 x 1 ) + (4 x 0.1) + (9 x 0.01) + ( 9 x 0.001)

OR

3 + 0.4 + 0.09 + 0.009

Three and four hundred ninety-nine thousandths

Hope this helped!

Answer:

[tex]\boxed {-243}\\[/tex]

Step-by-step explanation:

[tex]\begin{array}{rclr}(-3)^{-5} & = & \dfrac{1}{x}& &\\(-3)^{5} & = & x &\text{Inverted each side of the equation}\\x & = & \boxed {\textbf{{-243}}}\\\end{array}[/tex]

I think it’s b I hop

Answer:

So, The roots are [tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

Step-by-step explanation:

[tex]4x^2 + 5x + 2 = 2x^2 + 7x - 1[/tex]

We need to solve the equation to find the roots using quadratic formula.

The quadratic formula is:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Rearranging the above equation:

[tex]4x^2 -2x^2+ 5x-7x + 2+1 =0[/tex]

[tex]2x^2 -2x + 3 =0[/tex]

Where a =2 , b=-2 and c =3 Putting values in quadratic equation and solving:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(2)(3)}}{2(2)}\\x=\frac{2\pm\sqrt{4-24}}{4}\\x=\frac{2\pm\sqrt{-20}}{4}\\\sqrt{-20} \,\,can\,\,be\,\, written\,\, as\,\, 2\sqrt{-5}\\ x=\frac{2\pm2\sqrt{-5}}{4}\\x=\frac{2+2\sqrt{-5}}{4} \,\, and \,\, x=\frac{2-2\sqrt{-5}}{4}\\x=\frac{2(1+\sqrt{-5})}{4} \,\, and \,\, x=\frac{2(1-\sqrt{-5})}{4}\\ x=\frac{1+\sqrt{-5}}{2} \,\, and \,\, x=\frac{1-\sqrt{-5}}{2}\\As \,\,we\,\, know\,\, \sqrt{-1} = i \\[/tex]

[tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

So, The roots are [tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

Answer:

these numbers go in the spaces. short and simple.

1 5

2 2

mark brainliest please!

Step-by-step explanation:

Answer:

2. 1- Experimental probability of rolling a 4 = 40%

3. 2- Theoretical probability is 3%  greater than experimental probability.

Step-by-step explanation:

Experimental probability of rolling a 4 = 100 × [tex]\frac{8}{20}[/tex]

                                                                  = 100 × 0.4

                                                                  = 40%

Experimental probability of getting at least one tail  = [tex]\frac{72}{100}[/tex]

                                                                                    = 0.72

Theoretical probability of getting at least one tail  = [tex]\frac{3}{4}[/tex]

                                                                                  = 0.75

Theoretical probability is 3%  greater than experimental probability.

Answer:

y = 3/2x - 14.

Step-by-step explanation:

The slope of the perpendicular line  is - 1 / -2/3

= 3/2.

Using the point slope form y-y1 = m(x-x1):

y - (-8) = 3/2(x - 4)

y + 8 = 3/2x - 6

y = 3/2x - 14.

Answer:

y = [tex]\frac{3}{2}[/tex] x - 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x ← is in this form

with slope m = - [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex], hence

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation of the perpendicular line

To find c substitute (4, - 8) into the partial equation

- 8 = 6 + c ⇒ c = - 8 - 6 = - 14, so

y = [tex]\frac{3}{2}[/tex] x - 14 ← equation of perpendicular line

Answer:

The answer is C, the graph has the y intercept of 2

Step-by-step explanation:

You can see from the graph that the line intercepts the y axis at 2

It wouldn't be the slope of 1/2 because that choice isn't negative and this is a decreasing/negative graph

The correct answer is 44.1 [tex]cm^{2}[/tex]. I took the test.