A pair of sunglasses has 2 lenses. Each lenses has a radius of 3.5 inches.

How much space or area do BOTH lenses take up?

Use your formula sheet for the area formula for a circle.


A 12.25:inches

B 73.5:inches

C: 10.99\:inches

D 38.47\:inches

Answer:

-1000

Step-by-step explanation:

(100-100)-(100+100+100+100+100+100+100+100+100+100)=

=    0 - (100+100+100+100+100+100+100+100+100+100)

= -(100 + 100+100+100 + 100+100+100 + 100+100+100)

= -(100×10)

= - 1000

Answer:

-1000

Step-by-step explanation:

Answer:

The function given by [tex]y = - (2)^{x} + 3[/tex] will have a range of y < 3.

Step-by-step explanation:

The function given by [tex]y = - (2)^{x} + 3[/tex] will have a range of y < 3.

This is because, for any real values of x, the term [tex]- (2)^{x}[/tex] will have a negative value. If we put x = 1, then, [tex]- (2)^{x}[/tex] = - 2, and for x = -1, then [tex]- (2)^{x}[/tex] = - 0.5.

That means [tex]- (2)^{x} < 0[/tex] for all real x.

Hence, [tex]- (2)^{x} + 3[/tex] < 0 + 3

⇒ y < 3 for all real x. (Answer)

Answer:

-4

Step-by-step explanation:

-5x-10=10

+10 +10

-5x=20

÷-5 ÷-5

×=-4

Answer:

3 hours

Step-by-step explanation:

Recall:

Distance = speed x time

we are given that speed = 18 km/h and distance = 54 km.

hence,

54 = 18 x time   (divide both sides by 18 and rearrange)

time = 54/18 = 3 hours

Noah will take 3 hours to travel a distance of 54 kilometers at a constant speed of 18 km/h.

To determine how long Noah will take to travel a distance of 54 kilometers at a constant speed of 18 km/h, we can use the formula for time, which is:

Time = Distance / Speed

Let's calculate Noah's travel time:

Time = 54 km / 18 km/h = 3 hours

Noah will take 3 hours to cover the 54-kilometer distance on his bike.

Answer:

Each ticket it 9$

Step-by-step explanation:

3 by 3 is 3 times 3

3 times 3 is 9

$81/9 is 9

Answer: 25%

Step-by-step explanation:

Since 825 people said they would buy the car again, it means they were satisfied with the car

Therefore, the percentage of those satisfied with the car is = (825/3300) x 100 = 25%

Answer: 134.9

Step-by-step explanation: Simplify the expression.

Hope this helps you out!

Answer:

58 degrees

Step-by-step explanation:

All triangles measure up to 180 degrees.

180-87-35=58

Using the balance method, we find a = 15 by isolating the variable a. Substituting a = 15 back into the original equation, we verify the solution.

To solve the equation 12 = 2a - 18 using the balance method, we aim to isolate the variable a on one side of the equation.

Starting with 12 = 2a - 18, we'll first add 18 to both sides to isolate the term with 2a:

[tex]\[12 + 18 = 2a - 18 + 18\]\[30 = 2a\]\\[/tex]

Next, we divide both sides by 2 to solve for a:

[tex]\[\frac{30}{2} = \frac{2a}{2}\]\[15 = a\][/tex]

Now, let's verify the solution by substituting a = 15 back into the original equation:

[tex]\[12 = 2(15) - 18\]\[12 = 30 - 18\]\[12 = 12\][/tex]

Since the left side equals the right side, the solution a = 15 is verified.

Complete Question:

Solve the following equation using balance method and verify 12 = 2a - 18​

10 ≤ x ≤ 30, x < 2y, x < 40.

Solution:

Given x is the number of graphing calculators produced daily and

y is the number of scientific calculators produced daily.

Step 1: A company produce atleast 10 and not more than 30 graphing calculators per day.

⇒ 10 ≤ x < 30

Step 2: Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.

⇒ x < 2y

Step 3: The number of scientific calculators cannot exceed 40 per day.

⇒ x < 40

Hence, the constraints are 10 ≤ x ≤ 30, x < 2y, x < 40.

Answer:

x = ± 15

Step-by-step explanation:

Given

x² = 225 ( take the square root of both sides )

x = ± [tex]\sqrt{225}[/tex] = ± 15

That is x = - 15 0r x = 15

Answer:

Step-by-step explanation:

X² = 225

Finding the square root of both side

√X² = √225

X = 15 or -15

Answer:

The fraction is: [tex]$ \frac{\textbf{21}}{\textbf{110}} $[/tex]

Step-by-step explanation:

Given that the income is 66000 $ and the amount spent on taxes is 12600 $.

Therefore, the ratio of the amount of taxes and the income

[tex]$ = \frac{12600}{66000} $[/tex]

[tex]$ = \frac{126}{660} $[/tex]

Simplifying, we get: [tex]$ \frac{\textbf{21}}{\textbf{110}} $[/tex]

Hence, the answer.

Answer:

The Pie Eating Contest would be more skewed.

Step-by-step explanation:

In order to answer this, first we need to draw original histograms for both of these two events. Since all of the 20 people from the retirement community is attending one of the events, but we don't know which one, we need to draw new histograms for each of the events (see the attachment).

The only distinction of new histograms is the change in the fourth bin representing the 60-79 age group, since all visitors from retirement community fall into this age group.

A histogram is symmetrical if, when split in half by a vertical line, its left and right half act approximately as an object and its reflection in the mirror.

A histogram is skewed if, when split in half by a vertical line, one of its halves shows much greater values then the other.

So looking at our histograms, if all 20 people went to a Pie Eating Contest, that histogram would become more skewed and if all 20 people went to a Chili Cookoff, that histogram would become more symmetrical, which makes b) the correct answer.

Based on the information given, the correct option is B. The Pie Eating Contest would be more skewed.

This implies that when split in half by a vertical line, one of its halves will have greater values than the other.

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Answer:

x = 3

Step-by-step explanation:

you would divide both sides by three to get the x alone giving you

x =  9/3

Answer:

a. y int. = initial amount of coyotes

b. 135 coyotes

Step-by-step explanation:

a. when x = 0, you get y int. = 15 coyotes. This shows that at the very beginning, you had 15 coyotes.

b. 40 years = two 20 year periods. x = 2 after 40 years

y = 15 * (3)^2

y = 135 coyotes

a. y int. = initial amount of coyotes

b. 135 coyotes

a. when x = 0, you get y int. = 15 coyotes.

This represent that at the very beginning, you had 15 coyotes.

b. 40 years = two 20 year periods. x = 2 after 40 years

[tex]y = 15 \times (3)^2[/tex]

y = 135 coyotes

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Answer:

28 minutes

Step-by-step explanation:

d + v = 45

d = v + 11

time to sub

(v + 11) + v = 45

2v + 11 = 45

2v = 45 - 11

2v = 34

v = 34/2

v = 17 minutes.........volleyball

d = v + 11

d = 17 + 11

d = 28 minutes <=== dodge ball

Answer:

28 mins.

Step-by-step explanation:

There are 1160 pennies and 114 dimes in the piggy bank.

Step-by-step explanation:

Given,

Worth of money = $23.00 = 23*100 = 2300 cents

1 penny = 1 cent

1 dime = 10 cents

Let,

x be the number of pennies

y be the number of cents

According to given statement;

x+10y=2300       Eqn 1

x = 10y+20          Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex]10y+20+10y=2300\\20y=2300-20\\20y=2280[/tex]

Dividing both sides by 20

[tex]\frac{20y}{20}=\frac{2280}{20}\\y=114[/tex]

Putting y=144 in Eqn 2

[tex]x=10(114)+20\\x=1140+20\\x=1160[/tex]

There are 1160 pennies and 114 dimes in the piggy bank.

Keywords: linear equation, substitution method

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Final answer:

Joshua has 114 dimes and 1160 pennies in his piggy bank. This was determined by setting up a system of equations based on the values of the coins and the given relationship between the number of dimes and pennies.

Explanation:

The problem presented is a typical algebraic word problem that requires setting up equations based on the given information about dimes and pennies. We are told that the total value of the coins is $23.00 and that the number of pennies is 20 more than 10 times the number of dimes. To solve the problem, we need to use the fact that the value of a dime is 10 pennies, and then set up a system of linear equations to find the number of each type of coin.

Step-by-Step Explanation

Thus, Joshua has 114 dimes and 1160 pennies in his piggy bank.

Answer:

Just a guess but 101

Step-by-step explanation:

90-79=11. 90+11=101

Answer:

Step-by-step explanation:

1/4 = (1 divided by 4) = 0.25

To convert 1/4 pound of saffron to a decimal for an ordering system, divide 1 by 4, resulting in 0.25. Therefore, the appropriate decimal to enter is 0.25.

The question involves converting a fraction to a decimal for the purpose of entering an order quantity in a system. In this case, we want to convert 1/4 pound of saffron into a decimal. To do this, simply divide the numerator (1) by the denominator (4). Therefore, 1 divided by 4 equals 0.25. Hence, you should type 0.25 into the ordering system to order 1/4 pound of saffron.

The length of DZ is 4 units ⇒ 3rd answer

Step-by-step explanation:

Triangle X Y Z is cut by line segment C D, where

We need to find the length of DZ

In Δ XYZ

∵ C ∈ XY and D ∈ YZ

∵ CD // XZ

∴ m∠YCD = m∠YXZ ⇒ alternate angles

∴ m∠YDC = m∠YZX ⇒ alternate angles

In Δs YCD and YXZ

∵ m∠YCD = m∠YXZ

∵ m∠YDC = m∠YZX

∵ ∠Y is a common angle

∴ Δ YCD is similar to Δ YXZ by AAA postulate

- There is a constant ratio between their corresponding sides

∴ [tex]\frac{YC}{YX}=\frac{CD}{XZ}=\frac{YD}{YZ}[/tex]

∵ YC = 25 units

∵ CX = 5 units

∵ YX = YC + CX

∴ YX = 25 + 5 = 30 units

∵ YD = 20 units

∵ YZ = YD + DZ

∴ YZ = 20 + DZ

Let us use the ratio of the corresponding side

∵ [tex]\frac{YC}{YX}=\frac{YD}{YZ}[/tex]

∴ [tex]\frac{25}{30}=\frac{20}{20+DZ}[/tex]

- Simplify [tex]\frac{25}{30}[/tex] by dividing up and down by 5

∵ [tex]\frac{25}{30}=\frac{5}{6}[/tex]

∴ [tex]\frac{5}{6}=\frac{20}{20+DZ}[/tex]

- By using cross multiplication

∴ 5(20 + DZ) = 6(20)

∴ 100 + 5 DZ = 120

- Subtract 100 from both sides

∴ 5 DZ = 20

- Divide both sides by 5

∴ DZ = 4 units

The length of DZ is 4 units

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Answer:

on edge the answer is C.

Step-by-step explanation:

bc it is

Answer:

The cost to rent each chair and each table are $1.5 and $8.75 respectively

Step-by-step explanation:

Let x represent 1 chair

Let y represent 1 table

Therefore

3x + 2y = 22   ------------(1)

5x + 6y = 60   ------------(2)

Multiply (1) by 5 and (2) by 3

15x + 10y = 110   ----------(3)

15x + 18y = 180  ------------(4)

Subtract (3) from (4)

8y = 70

Divide through by 8

y = $8.75

Substitute y = 8.75 in (1)

3x + 2y = 22

3x + 2(8.75) = 22

3x + 17.5 = 22

Collect like terms

3x = 22 - 17.5

3x = 4.5

Divide through by 3

x =$1.5

Final answer:

By setting up a system of linear equations based on the given information and solving it, we determined that the cost to rent each chair is $1.50 and the cost to rent each table is $8.75.

Explanation:

To find the cost to rent each chair and each table from the party rental company, we set up a system of linear equations based on the information given:

Let C be the cost of one chair and T be the cost of one table. We can write the following equations:

Solving this system of equations, we can find the values of C and T. First, multiply the first equation by 3 to eliminate T:

Now we can subtract the second equation from the modified first equation:

With the cost of a chair known, we can substitute back into either equation to find the cost of a table:

The cost to rent each chair is $1.50 and the cost to rent each table is $8.75.

Answer:

4/8 - 2/5 = 1/10

Answer:

24.4

Step-by-step explanation:

diameter=2*radius

=2*12.2

=24.4

Final answer:

The diameter of a circle with a radius of 12.2 is 24.4 units. This is calculated by doubling the radius, using the formula D = 2r.

Explanation:

To determine the diameter of a circle with a radius of 12.2, you simply need to use the relationship between the radius and the diameter of a circle. The diameter is twice the radius, which can be represented by the formula D = 2r, where D is the diameter and r is the radius.

Substituting the value of the radius into the formula gives us:

D = 2 × 12.2

This calculates to:

D = 24.4

Therefore, the diameter of the circle is 24.4 units. Keep in mind that if the radius was given in a specific unit, like meters or centimeters, then the diameter will be in the same unit.

Answer:

5 1/8

Step-by-step explanation:

4 9/8 is an improper fraction since the numerator is greater than the denominator. To simplify it, you can find how many total eighths there are. 4*8 = 32, and 32 + 9 = 41. Therefore, there are 41/8. There are 5 eights in 41, with one as a remainder, so 4 9/8 simplifies to 5 1/8.

The value of the mixed number A = 4 9/8 is A = 5 1/8

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

Let the mixed number be represented as A

Now , the value of A is

A = 4 9/8   be equation (1)

On simplifying the equation , we get

A = 4 9/8

A = ( 32 + 9 ) / 8

A = 41 / 8

Now , the value of A is an improper fraction , and to convert in into a mixed number , we get

The value of A = 5 1/8

Therefore , the value of A is 5 1/8

Hence , the mixed number is 5 1/8

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Answer:

It's B,C,D

Step-by-step explanation:

Answer:

its b,c, and d

Step-by-step explanation:

Answer:

The answer is in both because, the x goes into 3 accordingly. Also in 30 degrees you move upward, and they both factor into the same equations.

Answer:

Step-by-step explanation:

Answer:

3 boxes.

Step-by-step explanation:

The circular pool has a radius of 16 feet.

So, the circumference of the pool will be 2πr = [tex]2 \times \frac{22}{7} \times 16 = 100..57[/tex] feet.

Therefore, to place a rim around the circular pool with a foam rim Sarah will need 100.57 feet length of foam rim.

Now, the foam rim is  sold in boxes that will cover the length of 40 feet.

Therefore, she will need [tex]\frac{100.57}{40} = 2.51[/tex] ≈ 3 boxes to place around the rim of the pool. (Answer)

Answer:

One way you can solve this problem would be to take 2.35/4

2.35/4= .5875

Then you can add .5875 + .5875 +.5875 +.5875

Which equals 2.24

.5875 + .5875 +.5875 +.5875

Hope this helps ;)

To find four decimals whose sum is 2.35, you can set up a system of equations and solve for the values. The four decimals are 0.10, 0.20, 0.15, and 0.15.

The question is asking for four decimals whose sum is 2.35. To find these decimals, we can assign variables to each decimal (let's call them a, b, c, and d) and set up an equation: a + b + c + d = 2.35. Since we want the decimals to have only two places after the decimal point, we can express them in hundredths. For example, instead of 0.1, we can write it as 10/100 = 0.10.

Now, we can set up a system of equations:

a + b + c + d = 2.35

a = 10/100

b = 20/100

c = 15/100

d = 15/100

By substituting the values back into the first equation, we have: (10/100) + (20/100) + (15/100) + (15/100) = 2.35. Simplifying the equation, we have 0.10 + 0.20 + 0.15 + 0.15 = 0.60. Therefore, the four decimals whose sum is 2.35 are 0.10, 0.20, 0.15, and 0.15.

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Answer:

C, 49°.

Step-by-step explanation:

Cause i said so

Answer:

C, 49.

Step-by-step explanation:

Answer:

85.5 feet tall

Step-by-step explanation:

2.5(33)+3

82.5+3

85.5