round to the nearest hundredth 4.231

Answer:

In 11 teaspoons, there are 53.9 milliliters.

Step-by-step explanation:

Since you know that one teaspoon is equal to 4.9 milliliters, to find the answer, you have to multiply 4.9 times the amount of teaspoons, or 11. Hence, the answer is 53.9.

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Answer:

1/2(2x-6)= -6

Step-by-step explanation:

Multiply the two sides by the equation 2

2x-6=12

move the constant to the right hand side change sign

2x = -12 + 6

calculate the sum

2x= -6

Divide the 2 sides by 2

x= -3

Answer:

113

Step-by-step explanation:

area of a circle is 3.14*r^2

r=d/2 r=6

3.14*36=113

Answer:66

Step-by-step explanation:

66

Answer: 14

Step-by-step explanation:

Explanation is in the file

tinyurl.com/wpazsebu

if the question is asking what is X then the answer is

X - 3 >-25

X >-25+3

X >-22

Answer:

Step-by-step explanation:

First solve for the common ratio:

[tex]\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}[/tex]

Use the geometric summation equation to solve for sum:

[tex]a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216[/tex]

The sum of the first 6 terms of the following series is 540.

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

The sum of the terms of the geometric sequnece is given by;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

The common ratio of the sequence is;

[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]

The sum of the first 6 terms of the following series is;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]

Hence, the sum of the first 6 terms of the following series is 540.

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Answer:40

Step-by-step explanation:

Answer:

-3/5

(0,4)

Step-by-step explanation:

The slope, or m, is the change in y over the change in x. So to find m calculate how much y changes then divide that by how much the x value changes. On the table, the y-values decrease by 3 each time, and the x-values increase by 5 units each time. This means m must equal -3/5.

The y-intercept is when the line crosses over the y-axis. This will also be when x=o. So to find the intercept find when x=0; in this case, when x=0, y=4. This means the intercept is (0,4).

Answer:

11:45

Step-by-step explanation:

Answer: 4

Step-by-Step Explanation: When written in slope-intercept form, the equation becomes y = 4x - 2; the basic structure of this formula is y=mx+b, where m is the slope and b is the y-intercept.

Knowing this information, we can also figure out the slope and y-intercept. 4, or m, is the slope of the proposed line.

Answer:

You need to find 84% of 4200 to get the amount of students.  First change the percent to a decimal, and multiply 0.84 x 4200.

There were 3528 total students at the theater.

Answer: I believe it is the X axis. <3

Step-by-step explanation:

Answer:

9 and -5

Step-by-step explanation:

Answer: have you ever heard about dividing dude.

you divide a number to that number here ok ill give you 4 answer's ok for number 1= 1.17122  and for number 2= 1.58125   number 3= 1.322581  number 4= 1.386 ok ill give you all number 5= 1.236364   number 6= 1.681818

Answer:

21.5 feet

Step-by-step explanation:

d = Distance of the bottom of the tower to the point of observation

x = Height of the top section of the tower

a = Height of bottom section

b = Total height of tower

[tex]\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}[/tex]

[tex]\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}[/tex]

[tex]x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}[/tex]

The height of the top section of the tower is 21.5 feet.

Answer:

The answer is -1,1

Step-by-step explanation:

Answer:

1. 12

2. 0

3. 9

Step-by-step explanation:

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches

Answer:

A and B are equivalent to -96x + 120

Step-by-step explanation:

-96x + 120

A. 8 (-12x + 15)

8 * -12x = -96x

8 * 15 = 120

8 (-12x + 15) = -96x + 120

-96x + 120 = -96x + 120

Equivalent

B. -12 (8x - 10)

-12 * 8x = -96x

-12 * -10 = 120

-12 (8x - 10) = -96x + 120

-96x + 120 = -96x + 120

Equivalent

C. -8 (12x + 15)

-8 * 12x = -96x

-8 * 15 = -120

-8 (12x + 15) = -96x-120

-96x + 120 ≠ -96x - 120

Not Equivalent

Answer:

The population is 384 bacteria at 2pm

Step-by-step explanation:

Because u just need multiplied

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The line a is an illustration of a linear function

From the complete figure, we have the following points on line a

(x,y) = (0,2) and (2,4)

The slope (m) is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{4 - 2}{2 - 0}[/tex]

Evaluate

m = 1

Hence, the slope of line a is 1

This is calculated as

y = m(x - x1) + y1

So, we have:

y = (x - 0) + 2

Evaluate the difference and the product

y = x + 2

Hence, the equation of the line a is y = x + 2

See attachment for the graph of line a

Read more about linear equations at:

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Answer:

37.4

Step-by-step explanation:

Answer:

(a) unpaid balance = $667.95

(b) Previous balance = $761.67

(c) his new balance = $683.98

Step-by-step explanation:

In the question, we are given the following:

Monthly periodic rate = 2.4%, or 0.024

Curren charges = $256.28

Total payment made = $350

Finance charge = $18.28

Therefore, we now proceed as follows:

(a) unpaid balance

This can be calculated as follows:

Unpaid balance = Previous balance + Current charges - Total payment made ................. (1)

Note that from part (b), Previous balance is equal to $761.67.

Substituting this and other values from the question into equation (1), we have:

Unpaid balance = $761.67 + $256.28 - $350 = $667.95

(b) Previous balance

This can be calculated as follows:

Previous balance = Finance charges / Monthly periodic rate = $18.28 / 2.4% = $18.28 / 0.024 = $761.67

(c) his new balance

This can be calculated as follows:

New balance = Unpaid balance * (1 + Monthly periodic rate) = $667.95 * (1 + 2.4%) = $667.95 * (1 + 0.024) = $667.95 * 1.024 = $683.98