The circumference of a circle is 113 pi. What is the radius?

This is a mathematics problem involving the calculation of the slope of a line graph. The machine produces 20 soda bottles per minute as concluded from the given coordinates (4,80) and (7,140).

The subject of this question falls under Mathematics, specifically the topic of linear relationships or functions. The task is to calculate the rate at which soda bottles are made per minute using the given coordinates of the graph, (4,80) and (7,140).

First, we need to calculate the slope of the line represented by these points since the slope corresponds to the number of soda bottles produced per minute. In a linear relationship, the slope of the line can be found using the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, (x1, y1) is (4,80) and (x2, y2) is (7,140). Plugging these values into the slope formula, we get: slope = (140 - 80) / (7 - 4) = 60 / 3 = 20.

So, the machine produces 20 soda bottles per minute.

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Answer:

106°

Step-by-step explanation:

For the equilateral ΔBCD all angles are 60° (180/3 = 60).

m∠ADB is 67° Since the triangle is isosceles the base angles are =.

m∠ ABD will be 180 - (67+67) = 46°.

m∠DBC = 60° so  m∠ABC = 46 + 60 = 106°

Answer:

For the equilateral ΔBCD all angles are 60° (180/3 = 60).

m∠ADB is 67° Since the triangle is isosceles the base angles are =.

m∠ ABD will be 180 - (67+67) = 46°.

m∠DBC = 60° so  m∠ABC = 46 + 60 = 106°

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Step-by-step explanation:

Answer:

6, 7, 8, 9

Step-by-step explanation:

There ya go. The numbers of possible amounts of mangos he could buy without exceeding his budget.

The possible values of mangos if, The cost of peaches is $2, The cost of the mangos is $1.25, and the Total money is $20, are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

A formula known as an equation uses the equals sign to denote the equality of two expressions. In other terms, it is a mathematical statement stating that "this is equivalent to that."

Given:

The cost of peaches =$2,

The cost of the mangos = $1.25,

Total money = $20,

Write the equation, if Henry buys 10 peaches,

10 × 2 + 1.25x = 20

Here, x is the number of mangos,

1.25x =  20 - 20

x = 0

Write the equation when Henry buys 4 peaches,

4 × 2 + 1.25x = 20

8 + 1.25x = 20

x = 20 - 8 / 1.25

x = 9.6 or 9 mangos

Thus, Henry can buy a maximum of 9 mangos if he buys at least 4 peaches.

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The edge of cube is: 2.5 cm

Step-by-step explanation:

Let V be the volume of cube

V = 15.625 cm^3

Let x be the side of the cube then

[tex]V = x^3\\15.625 = x^3[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{x^3} = \sqrt[3]{15.625} \\x = 2.5\ cm[/tex]

The edge of cube is: 2.5 cm

Keywords: Volume, Cube

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To evaluate the given expression 5x−6y+20z4yz, for x = 5, y = 3, and z = 1/4, we substitute the given values and apply the order of operations to solve the problem.

The question requires us to evaluate the mathematical expression given as 5x−6y+20z4yz with provided values of x = 5, y = 3, and z = 1/4. Let us substitute the values into the expression as follows:

First, replace each 'x', 'y', 'z' in the expression with the given values:

= 5×5 - 6×3 + 20×(1/4) / (4×3×(1/4))

= 25 - 18 + 20 / (3)

= 7 + 20/3

Finally, you can calculate the exact numerical result depending on whether you are allowed to leave it as an improper fraction or if you need to convert it to a mixed number or decimal form.

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Answer:

Step-by-step explanation:

∡ECD = 90°

∡DCA= 90°

∡BCA=90°

∡BCE =90°

⇔ ABC=DCE

Answer:

the answer is A 6.1

Step-by-step explanation:

Answer:

B

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 or y = 6 - x ⇒ B

Answer:

20/3

Step-by-step explanation:

5/(3/4)=(5/1)(4/3)=20/3

Answer:

c 12/15

Step-by-step explanation:

Because you have to multiply 3 to the denominator and what ever you do to the denominator u have to do to the numerator so If u did 3 time 5 it would be 15 but if u do 5 time 2 it would be 10 not 12 because the unit rate fraction is 2/3 so u multiply 3 to each denominator and numerator since 2/3 is the unit rate fraction

Answer:

Cost of a 3 minute call is 50 cents at a rate of 16.67 cents per minute.

Step-by-step explanation:

We are given the following in the question:

Plan A

A rate of 8 cents per minute.

Plan B

A 50​-cent minimum charge per completed​ call.

We have to find the​ cost, in cents per​ minute, for a 3​-minute call.

Cost according to plan A:

[tex]\text{Cost per minute}\times \text{Call length in minutes}\\= 8 \times 3\\=24 \text{cents}[/tex]

Cost according to plan B:

50 cents for a 3 minute call

Rate =

[tex]\displaystyle\frac{\text{Total cost}}{\text{Duration of call}} = \frac{50}{3} = 16.67 \text{ cents per minute}[/tex]

The company chooses the plan with greater cost, thus, it chooses plan B.

Thus, cost of a 3 minute call is 50 cents at a rate of 16.67 cents per minute.

Answer:

undefined

Step-by-step explanation:

csc(x) = 1/sin(x)

csc0 = 1/sin0

sin0 = 0

1/0 = undefined

Answer:

4x(2x+3)

Step-by-step explanation:

The answer is 4x(2x+3)

Answer:

The graph in the attached figure

Step-by-step explanation:

Graph the solution of the inequality

[tex]t\leq -4[/tex]

we know that

The solution is the interval ---> (-∞,-4]

All real numbers less than or equal to -4

In a number line the solution is the shaded area at left of t=-4 (closed circle, because the number -4 is included in the solution))

using a graphing tool

The graph in the attached figure

Answer:

The value in box of circle B is 3 and the value in box which belongs in both circle B and S is 6 and value which belongs in circle S is 1 and the value of box outside both the circle is 2.

Step-by-step explanation:

In given Venn diagram

ε = class of 12 pupils

pupils who have brother B = 9

pupils who have sister S = 7

pupils who have neither brother nor sister = 2

Hence the Venn diagram is drawn in the attachment for your reference.

n(E) =12

n(neither B nor S) = 2

So, n(B or S)= n(E) - n(neither B nor S)= 12-2=10

n(B) = 9

n(S) = 7

Now, addition theorem,

n(B or S) = n(B) + n(S) - n(B and S)

[tex]10=9+7-n(B\ and \ S)\\n(B\ and \ S) = 6[/tex]

So the value in box which is in both circle B and S is 6.

So the Box which contains only brothers = n(B) - n(B and S)  = 9 - 6 = 3

Value in box of circle B is 3.

So the Box which contains only Sisters = n(S) - n(B and S)  = 7 - 6 = 1

Value in box of circle S is 1.

There are 12 pupils in a class so, the number of pupils having both brother and sisters are 6 and the pupils had either brother or sister are 10.

Given :

Given that there are pupils in a class that is, n(E) = 12

Pupils who have brother, n(B) = 9

Pupils who have sister, n(S) = 7

Pupils who have neither brother nor sister, n(neither B nor S) = 2

So,  n(B or S) = n(E) - n(neither B nor S)

                      = 12 - 2 = 10

n(B or S) = 10

Now, through the addition theorem:

n(B or S) = n(B) + n(S) - n(B and S)

10 = 9 + 7 - n(B and S)

n(B and S) = 6

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Thus, a product that normally costs $20 with a 75 percent discount will cost you $5.00, and you saved $15.00. You can also calculate how much you save by simply moving the period in 75.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .75 = $15.00 savings.

Answer: $35

Step-by-step explanation:

20(75%)=15+20= $35

The value remains under the radical is 8 ⇒ last answer

Step-by-step explanation:

Let us revise how to write the exponent as a radical

Example:

Now let us solve your problem

∵ [tex]1250^{\frac{3}{4}}=\sqrt[4]{1250^{3}}[/tex]

- Factorize 1250 to its prime factors

∵ 1250 = 2 × 5 × 5 × 5 × 5

∴ [tex]1250=2*5^{4}[/tex]

∴ [tex]\sqrt[4]{(2*5^{4})^{3}}=\sqrt[4]{2^{3}*5^{12}}[/tex]

∵ 2³ can not go out the radical because 3 < 4 and not divisible by it

- [tex]5^{12}[/tex] can go out the radical because 12 can divided by 4

∵ 12 ÷ 4 = 3

∴ [tex]5^{12}[/tex] can go out the radical as 5³

∴ [tex]\sqrt[4]{1250}=5^{3}\sqrt[4]{2^{3}}[/tex]

∴ [tex]\sqrt[4]{1250}=125\sqrt[4]{8}[/tex]

∴ The value remains under the radical = 8

The value remains under the radical is 8

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Answer:

8

Explanation:

Egde 2020

Hope this helps :)

Answer:

(1,c) (2,b) (3,A)

Step-by-step explanation:

May be right or worng i just read thought it better.

Answer:

Step-by-step explanation:

Variables:

let x be the number of minutes

let y be the total number of pages read

Use the form y = mx + b

"b" is irrelevant in this context because the initial value is 0 (they have not read it before or it is not given)

m is the rate, how fast they can read, how many pages each minute

Alejandro:

28 = 1x   <=Simplify because any number multiplied by 1 is itself.

28 = x

Carly:

12 = 2x

She would have used 1200 messages in all by the month of August.

Step-by-step explanation:

Messages allowed per month = 150

There will be 8 months starting from January to August, therefore,

Time period = 8 months

Messages in 8 months = Messages per month * Time period

[tex]Messages\ in\ 8\ months=150*8\\Messages\ in\ 8\ months=1200[/tex]

She would have used 1200 messages in all by the month of August.

Keywords: Multiplication

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Answer: 5:37

Step-by-step explanation:

The answer is d/5:37pm

Step-by-step explanation:

2:07+2:30=4:37

Cheyenne is 1 he ahead

4:37+1:00=5:37

Final answer:

The system of linear inequalities for Kayla's fruit purchase is x + y ≥ 15 to represent the quantity of fruit, and 0.65x + 0.78y < 20 to represent the budget constraint.

Explanation:

The student's question is asking for a system of linear inequalities that would model the situation in which Kayla wants to buy at least 15 fruits consisting of apples and oranges, without spending more than $20. Given that apples (x) are $0.65 each and oranges (y) are $0.78 each, we can set up the following inequalities:

x + y ≥ 15

0.65x + 0.78y < 20

The first inequality represents the requirement that Kayla needs to buy at least 15 pieces of fruit. The second inequality represents the constraint that she needs to spend less than $20 on her purchase.

Answer:

0.5

Step-by-step explanation:

0.5 x 4 = 2, 2 + 7 = 9

Answer:n=1/2

Step-by-step explanation:

4n+7=9

   -7   -7

4n=2

divide by 4 on both sides

n=1/2

Answer:

A= 24 ounces and B= 36 ounces.

Step-by-step explanation:

Given: Solution A contain 30% salt= 0.30 salt.

           Solution B contain 55% salt= 0.55 salt.

           New mixture should be of 60 ounces with 45% salt.

Let x be the amount of mixture for solution A. Let y be the amount of mixture of solution B.

Scientist need to to obtain 60 ounce of mixture from solution A and B.

∴ [tex]x+y= 60\ ounces[/tex]

y= [tex]60-x[/tex]         equation 1

Now, solving to get final solution.

∴ [tex]0.3x+0.55y=0.45\times 60\ ounces[/tex]

Substituting the value of y from equation 1

⇒ [tex]0.3x+ 0.55\times (60-x)= 27[/tex]

⇒ [tex]0.3x+33-0.55x= 27[/tex]

⇒ [tex]-0.25x= -6[/tex]

∴ x= 24 ounces

Next, finding y

y= 60-x

∴ y= [tex]60-24= 36\ ounces.[/tex]

y= 36 ounces.

Now, we can say scientist would require 24 ounces of solution A and 36 ounces of solution B to obtain mixture of 60 ounces with 45% salt.

Answer:

7

Step-by-step explanation:

3(7)=21-5=16

Answer:

Nathan's estimate would be greater than the actual product.

Step-by-step explanation:

Let a, b, c, d be natural numbers such that a<c and b<d

Multiplying a positive number on both sides doesn't affect the inequality

⇒a×b < c×b and c×b < c×d

⇒a×b < c×d

Here 67<70 and 36<40

∴67×36<70×40

Hence, Nathan's estimate would be greater than the actual product.          

Answer:

B. $336.09

Step-by-step explanation:

Monthly payment = $876.09

Interest rate = 4.8%

Convert the annual interest rate to monthly rate = 4.8% / 12

Monthly rate = 0.4% or 0.004

Amount going towards interest payment = 0.004* loan amount

Interest = 0.004 * 135,000

Interest = $540

Therefore, from the monthly payment of $876.09 , $540 goes towards paying interest and the balance is the note reduction;

Note reduction = $876.09 - $540 = $336.09

Answer:

336.09

Step-by-step explanation:

this is the right anwser

Answer:

54

Step-by-step explanation:

8*7-12/6=56-2=54

Answer:

56-2=54

Step-by-step explanation:

8×7 - 12÷6 =56 - 2= 54

Answer:

6.3

Explanation:

To get from 4.5 to 5.4, you need to add 0.9. If you add 0.9 two more times, you get 7.2. Therefore, the middle term should be 6.3. I don't know if you made a typo and forgot the decimal when writing the options cause it says "63", but I believe the answer is 6.3.

Answer:

grab a ruler and put the 0 on the inches side up to the R and she what it's at when it hits S and do it again at T