Simplify the expression: 2/3 (6e+9f-21g)

Answer:

x = 6

Step-by-step explanation:

Take the statement x varies directly as y and z

This means value of x is directly proportional to the value of y and z  represented as x ∝ yz which can be represented as x = k.y.z where k is a constant known as the constant of proportionality

If x varies inversely as the square  of r  we represent this as x ∝ 1/r² or in equation form x = k/r²

Since the value of x is dependent on the values of y, z and  jointly we have a single equation of proportionality:

[tex]\bold{x= k\cdot\frac{yz}{r^{2}}}[/tex]

Given the values for x, y, z and r we can compute the proportionality constant and determine the value of x for any value of y, z or r

x = 16 when y = 3, z = 12 and r = 3

[tex]16 = k\cdot \frac{3\cdot 12}{3^2} \\\\16 = k\cdot \frac{3\cdot 12}{9}\\\\16 = k\cdot4\\\\k = 16/4 = 4\\[/tex]

So the constant of proportionality is k = 4. Us this value in the proportionality equation along with y, z and r to get the value of x

[tex]x = 4\cdot \frac{5\cdot 30}{10 \cdot 10}\\\\x = 4\cdot\frac{150}{100}\\\\x = \frac{600}{100} = 6\\\\[/tex]

So x = 6 is the answer

Answer:

28

Step-by-step explanation:

3x4 is 12

2x8 is 16

16+12 is 28

Answer:

1

Step-by-step explanation:

In order to add fractions they have to have a common denominator.

In this case we can multiply the fraction 3/4 by 2 to get 6/8.

Now we can add them:

[tex]\frac{6}{8} + \frac{2}{8} = \frac{8}{8} = 1[/tex]

Therefore, the answer to the question is 1.

I hope this helps!!

- Kay :)

1) Area of each circle = 0.5625π

There are 2 identical circles in the cylinder.

So the total area of all the circles is;  1.125π square inches

2) One side of the rectangle is; 1.5π

The other side of the rectangle is; 4 inches

The area of the rectangle is approximately; 6π square inches

3) The total area of the can is; 7.125π square inches

We can see that the can is broken down into two circles with one atop and one beneath the rectangle. Thus;

1) Area of Circle on top and at bottom = πr² = π * 0.75²

Area of each circle = 0.5625π

There are 2 identical circles in the cylinder.

So the total area of all the circles is 2(0.5625π) =  1.125π square inches

2) One side of the rectangle is; 2πr = 2 * π * 0.75 = 1.5π

The other side of the rectangle is; 4 inches

The area of the rectangle is approximately; 4 * 1.5π = 6π square inches

3) The total area of the can = 6π square inches + 1.125π square inches = 7.125π square inches

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Answer:

The answer is "-4(h+9)"

Step-by-step explanation:

Given:

[tex]\bold{ -2(2h+10)+4h-2(2h+10)+4-2(2h+10)+4h}[/tex]

[tex]\to -4h-20+4h-4h-20+4-4h-20+4h \\\\\to -4h -60+4 \\\\\to -4h-36\\\\\to -4(h+9)[/tex]

Answer:

−20−4h+4h or −20 (If you are on khan then its A and B)

Step-by-step explanation:

100% correct

Answer:

Since figure is not given, assume drawing a rectangle and label it from left top to right top as A and B. Similarly label it as C and D from bottom left to right. Draw a semicircle starting from C to D inside the rectangle.

You are asked to find area of shaded region which I assume is semicircular part.  

Area of a circle is determined by    Pi × r ^2

r is the radius of circle which is half of diameter. The diameter of circle is same as width of rectangle. So radius = 7/2 = 3.5 mm And area of shaded region is

                         1/2(Pi×r^2) = 1/2(3.14×3.5^2) = 19.2325 sq mm

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.

Answer:

140

Step-by-step explanation:

hope this helps get a 100%

The correct answer is $170.4

Explanation:

The total Georgie spent is equal to the money spent on clothes ($160) added to taxes (6.5% of the price of the clothes). Now, to calculate the money spend on taxes follow this process:

1. Divide the total of money spent on clothes into 100 (this number represents 100%)

160 ÷ 100 = 1.6

2. Multiply this number by the specific percentage (6.5)

1.6 x 6.5 = $10.4 (This is the money spent on taxes)

Finally, add the value of taxes and the price of the clothes:

$160 + $10.4 = $170.4

Answer:

[tex]A_w=24x+28.5[/tex]

Step-by-step explanation:

The rectangular garden is surrounded by a walkway.

The combined area of both is 7.5(6x+5) and the area of the garden alone is 6(3.5x+1.5).

The area of the walkway (Aw) around the garden is the result of subtracting the total area minus the inner area:

[tex]A_w=7.5(6x+5) -(6(3.5x+1.5))[/tex]

Removing parentheses:

[tex]A_w=45x+37.5 -21x-9[/tex]

Simplifying:

[tex]\mathbf{A_w=24x+28.5}[/tex]

Answer:

32≠10

False

Step-by-step explanation:

The answer of the given expression [tex]\frac{1}{2} +\frac{3}{4} \times16[/tex] is 25 / 2 .

PEMDAS is word form accustomed mention the order of operations to be followed whereas determination expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.PEMDAS or order of operations may be a set of rules to perform operations in AN arithmetic expression. There ar completely different situations wherever everything goes through numerous steps during a mounted sequence.

We have given an expression [tex]\frac{1}{2} +\frac{3}{4} \times16[/tex] .

According to PEDMAS , we will first solve the multiplication term which on solving gives 3/4 (16) = 3 × 4 = 12.

Now we will solve the addition term which is given by

1/2 + 12 = 1 + 24 /2

            = 25 / 2

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Certain types of songs tend to have a call-and-response structure because A. It can have many different sections

A call and response in music is a series of two independent phrases that are typically composed in separate portions of the piece, with the second phrase being heard as a direct remark or answer to the first.

Direct imitation between instruments, a questioning phrase and subsequent response, a statement of affirmation from one instrument to another, or variations on a direct call by a group of instruments are examples of call and response.

Therefore, certain types of songs tend to have a call-and-response structure because it can have many different sections

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Answer:

You fill it up to be 8/8 Full

Step-by-step explanation:

Answer:

By putting the water in the measuring cup?

Step-by-step explanation:

If this is not the answer you were looking for you might what to specify your question!  

Hope this helps!

Answer:

1 cubic cent

Step-by-step explanation:

Cause the volume of a cube is V^3. So, 1x1x1 = 1

Answer:

The answer is 1 cubic centimeter.

Step-by-step explanation:

The nurse should document for this client as 45 pack years.

Pack year is determined by dividing the quantity of packs smoked daily by the number of years the smoker has smoked.

total years of smoking = current age of the client - the year he started smoking

= 66 - 16

50 years of smoking

For 40 years he smoked 1 pack per day but then he reduced it to a half pf a pack per day

= 40 x 1 + 10 x 0.5

= 45 pack- years

The nurse should document for this client as 45 pack years as the client has started smoking at age 16 , and smoked one pack each day until 10 years ago then he had decreased to a half of a pack per day.

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Answer:

30° and 150°

Step-by-step explanation:

supplementary means that the sum of the measures = 180

let's say 1 angle is labled ∠A and the other ∠B

m∠A + m∠B = 180°

however, m∠A = 5 * m∠B

so, by substituting that:

5*m∠B + m∠B = 180°

6*m∠B = 180°

m∠B = 30°

m∠A = 150°

For the following graph, it is found that:

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

For the graph in this problem, the statement is true, hence the graph is a function.

The inverse of a graph will be a function if the original function is one-to-one, that is, each value of y is mapped to only one value of x, meaning that the graph has no horizontally aligned points.

This is also true for this function, hence the inverse is a function.

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Answer:

8+√34

Step-by-step explanation:

use distance formula d =√(x2-x1)² +(y2-y1)² to find the sides

√ (1 -1)²+( -6+3)² = √9 = 3

√ (1+4)²+( -6+6)² = √25 =5

√ (1+4)² + (-3+6)² = √25+9 =√34

Perimeter is P = 3+5+√34 = 8+√34

Answer:

ab = 10 or -10

Step-by-step explanation:

........

.

Answer:

160

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

y = -4/3

Step-by-step explanation:

multiply each side with a reciprocal of 3/8 which is 8/3.

8/3 * -1/2 = -4/3

Answer:

-4/3

Step-by-step explanation:

Answer:

[tex]7^{3}[/tex]

Step-by-step explanation:

7 is being multiplied by itself 3 times meaning it's to the power of 3 so the base is 7 while the exponent is 3.

Answer:

53%

Step-by-step explanation:

Answe: there is no pic

Step-by-step explanation:

Answer:

$1634*.925=$1511.45

Step-by-step explanation:

100%-7.5%=92.5% / 100 = .925 then multiply by the value of 2007 which is $1634... 1634*.925=1511.45  

Answer:

c 2:1

Step-by-step explanation:

If you simplify 14:7 it is 2:1  (divide by 7)

Answer:

14:7 is the same as 2:1 because 7 can go into 14 two times and into 7 once

so your answer would be C

Answer:

4% compounded yearly

Step-by-step explanation:

20 / 500 = 0.04

0.04 * 100 = 4%