a gardener makes a new circular flower bed the bed is 10 feet in diameter calculate the circumference and the area of the circular flower bed

The equation of the line is y = 5x + 35

The equation of a line can be represented in a slope intercept form as follows:

y = mx + b

where

Therefore, line that are parallel have the same slope.

Therefore, if line one slope is 5, then the slope of the unknown line will be 5.

Hence,

y = 5x + b

let's find the y-intercept using (-8, -5)

-5 = 5(-8) + b

-5 = -40 + b

b = -5 + 40

b = 35

Therefore, the equation of the line is y = 5x + 35

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Answer: 0.8, 0.98, 7.9, 8.6

Step-by-step explanation:

Answer: square prism

Step-by-step explanation: It is a square prism. All angles are 90°. rectangular faces and 2 square faces, 8 vertices and 12 edges. It is also a prism because it has the same cross-section along a length.

Based on the relationship between the age of a tree and the inches in diameter, the age of a tree with 12 inches diameter is 100 years old.

The relationship between the age of a tree and the length of its diameter is such that from 4 inches in diameter, the age of the tree increases by 10 years for every 1 inch increase in diameter.

The last number of years shown in the table is 60 years which corresponds with 8 inches.

The number of years that a 12 inch tree would be is:

9 inches = 70 years

10 inches = 80 years

11 inches = 90 years

12 inches = 100 years

In conclusion, the tree would be 100 years.

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Answer:

area of a square= s^2

so the each side is 8

In multiplication when bases are same, the powers are added. So the answer after simplifying is d) -24a^3b^7

Product of  (3a^2b^4)*(-8ab^3)

Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition of groups of equal sizes. While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables, but for larger numbers, we split the numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on.

The multiplication formula is expressed as, Multiplicand × Multiplier = Product; where:

Multiplicand: The first number (factor).

Multiplier: The second number (factor).

Product: The final result after multiplying the multiplicand and multiplier.

(3a^2b^4)*(-8ab^3)= -24a^3b^7

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Answer:

675ft

Step-by-step explanation:

15*45=675

Answer:

Step-by-step explanation:

First, distribute the -2 to the p and +1 in the parentheses.

9-2(p+1)=4(p-8)

9-2p-2=4(p-8)

Then on the other side do the same thing distributing the 4 to the p and -8.

9-2p-2=4(p-8)

9-2p-2=4p-32

Now isolate the variable p by adding 2p to each side

9-2p-2=4p-32

9-2=6p-32

From here you subtract 9 from 2 and then add 32 to both sides.

7=6p-32

39=6p

finally you divide both sides by 6 to get p.

39/6=p

6.5=p

48 persons make up a party. There are seven times more adults than children in the world. Males outnumber females two to one. If the party has five girls. The total number of male adults are15

The total number of people are in the party is equal to 48

Let the number of children be x

So, the number of adults in the party is equal to 7 x

x + 7 x =48 ( This is a linear equation)

So, the number of children in the comes to be 6

Number of adults in the party = 6 * 7 = 42

Now let number of males be y

So total number of females = 2 y

Y+2y = 48 ( This is a linear equation)

Y=16

Therefore, the number of males is 16 and number of females is 32

Number of children in the party is 6 and female child is equal to 5

Then, number of male children =6-5 = 1

So total males in the party is equal to 16

Adult males =total number of males - number of male children

=16 - 1 = 15

Hence the total number of male adults =15

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Answer: 5/10 or 1/2 or .5 for fractions multiplied by = -2.125 as decimal

Step-by-step explanation:

pls mark brainlist

Answer:

5/10 or 1/2 or .5 for fractions multiplied by =-2.

If the perimeter of  rectangle is 312 feet,

The length and width of the rectangle are 132 feet and 24 feet

let the width of the given rectangle be x feet

then as per the information provided in the question , the length of rectangle is 6x-12 feet

the parameter of the rectangle is the two times the sum of its length and breath = 2(l+ b)

We are already provided with the parameter of the rectangle as 312 feet

So, let us put the value of length and breath along with the parameter in the formula

312= 2( (6x-12) + x

312= 2( 6x-12 + x)

312= 2(7x-12)

312= 14x - 24

312+24 =14x

336=14x

therefore x= 24

Hence, the length and width of the rectangle are 132 feet and 24 feet

the perimeter of  rectangle, we add the lengths of all four sides. Since opposite sides of a rectangle are always equal, we need to find the dimensions of length and width to find the perimeter of a rectangle.

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Answer:

x = (9/26)

Step-by-step explanation:

22x + 1 + 2x + 2 = 12 - 2x

24x + 3 = 12 - 2x

+2x               +2x

26x + 3 = 12

        -3    -3

26x = 9

÷26   ÷26

x = (9/26)

I hope this helps!

The value that each term can be multiplied by to eliminate the decimals in the equation is 4

The equation is given as

0.5x + 1 = 0.75x

Represent the terms as a fraction

So, we have

1/2x + 1 = 3/4x

The denominators in th​e above fractions are

2 and 4

The LCM of 2 and 4 is 4

Hence, the value that each term can be multiplied by to eliminate the decimals in the equation is 4

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Answer: y=−5/2x+4

Step-by-step explanation:

Put it into a app

Using proportions, it is found that:

a) They can paint 2.8 pictures in one hour.

b) The rate per hour is of 131.2 magazines.

c) The unit rate is of 0.86 problems per minute.

d) He can make 92.5 tacos in one hour.

e) He walks 3.75 miles in one hour.

The code is of 148.79.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

A unit rate is given by amount or fraction divided by time. Hence, for item a, it is given as follows:

4/5/(2/7) = 4/5 x 7/2 = 2.8.

They can paint 2.8 pictures in one hour.

For item b, we have that:

328/2.5 = 131.2.

The rate per hour is of 131.2 magazines.

For item c, we have that:

15/17.5 = 0.86.

The unit rate is of 0.86 problems per minute.

For item d, we have that:

185/2 = 92.5.

He can make 92.5 tacos in one hour.

For item e, we have that:

0.75/0.2 = 3.75.

He walks 3.75 miles in one hour.

For the code, the letters are given as follows:

E = 3.75, B = 131.2, D = 92.5, A = 2.8, C = 0.86.

Hence the code is given by:

E(B - D) + (A + C) = 3.75(131.2 - 92.5) + (2.8 + 0.86) = 3.75(38.7) + 3.66 = 145.13 + 3.66 = 148.79.

The code is of 148.79.

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Answer:

Step-by-step explanation:

It takes Layla 45 minutes to make 9 bracelets on her own.

45 divided by 9 equals 5. It takes Layla 5 minutes to make one bracelet.

Layla and Amelia can make 9 bracelets in 20 minutes.

20 divided by 9 equals 2 and 2/9.

5 - 2 2/9= 2 7/9

2 7/9 times 9 equals 25

Amelia can make 9 bracelets in 25 minutes

So it takes Layla 56 minutes to make 9 ( 45 divided by 9 = 5) so that means in 20 minutes Layla will make 4 bracelets.

this means it will piece together as Layla would make 4 while Amelia makes 5. So i think on Amelia's own it'll take her 40 minutes.

so sorry if i'm wrong :(

Answer:

1/4 of 12 is 3, so if he has 3/4 of the total cost saved up, add 12+3, which is $15, which is the total cost of the game.

Step-by-step explanation:

Each dose will contain 15 ml volume of liquid.

The container will last for 16 days.

Volume is a measurement of three-dimensional space that is occupied.   Numerous imperial units or SI-derived units, such as the cubic meter, gallon, quart, cubic inch and liter, are frequently used to quantify it numerically .

The unitary method involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?

When there is a direct variation, an increase or decrease in one quantity will result in an equivalent rise or fall in the other.

Inverse variation is the direct variation's opposite. A quantity's value decreases if we raise the other quantity, and vice versa.

Given data:

Volume of Celexa oral solution container = 240 ml.

Concentration of Celexa oral solution(m/v) = 10 mg/ 5 ml.

Dosage for one day = 30 mg.

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Answer:

Step-by-step explanation:

Answer:

16.1 is the answer

Step-by-step explanation:

17.0-0.9= 16.1

Answer:

16.1

Step-by-step explanation:

take 0.9 from 17=16.1

The younger sister is 29.

The older sister is 49.

Mr Fishman's age is 47.

Let:

The difference between the older sister and younger sister's age: y - x = 20 equation 1

Mr Fishman's is 11 years less than twice his young sister's age: 2x - 11 = c equation 2

The difference between Mr Fishman and his older sister's age : y - c = 2

y  - 2 = c equation 3

Let equation 2 and 3 be equal : 2x - 11 = y - 2

2x - y = 11 - 2

2x - y = 9

-y + 2x = 9 equation 4

The two equations that would be used are:

y - x = 20 equation 1

-y + 2x = 9 equation 4

Add both equations together

x = 29

Substitute for x in equation 1

y - 29 = 20

y = 29 + 20

y = 49

y - c = 2

49 - c = 2

c = 49 - 2

c = 47

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Answer:

11000

Step-by-step explanation:

I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000

TA=10000 + 1000

Total Interest = 11000

Normal model for sizes is (7,1)

Here 5% of female customer have foot size in between 6-10

a)We were told that there are dress shoes in sizes 6 to 10 point, and the tailor believes that, with the exception of 5% of his female customers, the shoe would fit almost everyone. As a result, it accounts for 95 percent of female customers or women who try on his shoes, and we've been asked to determine what standard model for sizes is consistent.

b)The mean is 8 and the standard deviation is 2 points. So, we can say that x follows a normal model with a mean of 8 and a variance of 4 point right and in part b, we were asked whether a retailer should order more shoes in sizes 4 and 5 or more shoes in sizes 11 and 12 point so the best way to do this is to draw a balk curve or the symmetric table. So let's try to graft that together. draw it out to begin with so an important feature of the normal curve of the ball curves that it's always symmetric about the mean.

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The equation of the line though the point (−4,−1) and perpendicular to the line y=25x+7 is y = -(1/25)*x - 21/25

We want to find a line perpendicular to y = 25x + 7, then the slope of our line must be the inverse of the opposite of 25, this is:

a = -(1/25)

Then our line is something like:

y = -(1/25)*x + b

And we want this to pass through (-4, -1), then:

-1  =-(1/25)*-4 + b

-1 = 4/25 + b

-1 + 4/25 = b

-25/25 + 4/25 = b

-21/25 = b

We conclude that the linear equation is:

y = -(1/25)*x - 21/25

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Answer:

a) constant of proportionality = 196

b) constant of proportionality represents the speed of the airplane in miles per hour

Step-by-step explanation:

The proportionality relationship is

y ∝ x where y = distance flown in miles and x is time in hours

This can be modeled as an equation
y = k. x  where k is the constant of proportionality

The equation given is y = 195x so 195 is the constant of proportionality , it is basically the speed of the airplane in mph

Answer:

{-1 , 8}

Step-by-step explanation:

The domain is simply all of the x values. Since the ordered pairs are written as (x, y) ...Find the domain by listing all the x values from the relation (which in this case is the first value in each of the parentheses).

Using a linear function, given by S(x) = 10 + 2x, we have that:

A linear function is modeled by:

y = mx + b

In which:

One example is a person with savings of $10, and the amount increases by $2 each week, hence the relation is:

S(x) = 10 + 2x.

In which:

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If eleven subtracted from eleven times a number is -66, the unknown number is -5

Given the data in the question;

First we translate the statement into an algebraic expression and solve for the unknown number.

Let x represent the unknown number.

Translation

Now, we combine.

11x - 11 = - 66

Solve for x

Add 11 to both sides

11x - 11 + 11 = - 66 + 11

11x = -55

x = -55/11

x = -5

Therefore, if eleven subtracted from eleven times a number is -66, the unknown number is -5

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Answer:

3^5

Step-by-step explanation:

substract the index of the number