What is the maximum value of 18.6

What is the solution to the equation? 3/4(4c+16)=2c+9

ella [17]

3/4(4c+16)=2c+9

We simplify the equation to the form, which is simple to understand
3/4(4c+16)=2c+9

Reorder the terms in parentheses
+(+3c+12)=2c+9

Remove unnecessary parentheses
+3c+12=+2c+9

We move all terms containing c to the left and all other terms to the right.
+3c-2c=+9-12

We simplify left and right side of the equation.
+1c=-3

We divide both sides of the equation by 1 to get c.
c=-3
Hope this helped! :)

4 0

3 years ago

Read 2 more answers

In the given figure, If the angles a and b are in the ratio 2:3, then angle cis:

tresset_1 [31]

Answer:

figure is missing mate

7 0

3 years ago

The radius of circle A is three feet less than twice the diameter of circle B. If the sun mmm of the diameters of both circles i

yanalaym [24]

Answer:

Area of Circle A = 1133.54

Circumference of Circle A= 119.32

Step-by-step explanation:

Given: Sum of both circle diameters= 49 feet.

Circle A radius= Three feet less than twice the diameter of circle B.

Lets assume diameter of Circle B is "x"

∴ Circle A radius (r)= $(2x-3)$

We know, the diameter of circle is $2r$

Diameter of Circle A is $2\times (2x-3)$

Next as given sum of both circle diameter is 49 feet.

∴ $2(2x-3)+x= 49\ feet$

distributing 2 with 2x and -3

⇒ $4x-6+x= 49$

⇒ $5x-6= 49$

Adding both side by 6

⇒ $5x=55$

Cross multiplying both side.

⇒ $x=\frac{55}{5} = 11$

∴ Diameter of circle B is 11 feet.

Next, subtituting the value of x to get the value of radius for Circle A.

Radius of circle A= $(2x-3)$

⇒ Radius of circle A= $(2\times 11-3)= 22-3$

∴ Radius of circle A= 19 feet.

Area of circle= $\pi r^{2}$

Taking π= 3.14

Area of circle A= $3.14\times 19^{2} = 3.14\times 361$

∴ Area of circle A= 1133.54

Circumference of circle= 2πr

Circumference of Circle A= $2\times 3.14\times 19= 119.32$

∴ Circumference of Circle A= 119.32

3 0

3 years ago

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There are 18 books on the summer reading list. In how many different ways can you choose one per week for 8 weeks?

Travka [436]

There are 8 weeks and 18 books. therefore you would multiply these numbers together.
the answer would be 144 different combinations.

not sure about the permutation or combination notation, but I got you on the first part!

5 0

3 years ago

A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per

Fed [463]

Answer:

Option (1)

Step-by-step explanation:

Characteristics of the graph attached,

1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.

2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)

Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.

Therefore, statement is not supported by the graph.

Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]

Therefore, this option is supported by the graph.

Option (3). A 40-year-old may have the same average resting heart rate for 10 years.

[True]

Therefore, this statement is supported by the graph.

Option (4). The average resting heart rate for teenagers steadily decreases.

[True]. There is a linear decrease in the teenagers heart rate shown in the graph.

Therefore, the given statement is true and supported by the graph.

Option (1) will be the answer.

3 0

3 years ago