Describe how you use place value to complete the chart?

The fractions in this equation are 3/4 and 5/6. The denominators of those fractions are 4 and 6. The lowest common multiple (LCM) of the numbers 4 and 6 is 12. The LCM is 12 because this is the smallest multiple 4 and 6 have in common

Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, ....

Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ....

The LCM has been highlighted in bold to make it easier to spot

Therefore, the LCD (lowest common denominator) of the fractions is 12. If we were to multiply both sides of this equation by the LCD, then we will clear out the fractions entirely to have whole numbers only left over.

Check out the attached image below for the steps of this process.

Final Answer: 9x + 36 = 10

-3 should be you answer!

the answer is (a-3)

Setting up algebraic equations to represent the costs of each club, one can solve for the number of months where the costs are the same. The cost of both health clubs is equal for 11 months.

In mathematics, problems like this can be solved using algebra, setting the cost of club 1 equal to the cost of club 2 and then solving for the variable, in this case, the number of months for which the costs are equal. Club 1 charges a $44 sign-up fee and $30 per month, which can be written as 44 + 30m (where 'm' represents the number of months). Club 2 charges a $99 sign-up fee and $25 per month, which can be written as 99 + 25m. Set these two equations equal: 44 + 30m = 99 + 25m and solve for m. Subtract 25m from both sides to get 5m = 55, then divided both sides by 5 to find m = 11. So, the cost of membership at these two health clubs is the same for 11 months.

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We can see here that Paula will need 5 packages of small juice boxes and 3 packages of yogurt treats to have the exact same number of each item, resulting in a total of 30 juice boxes and 30 yogurt treats.

Since small juice boxes come in packages of 6 and yogurt treats come in packages of 10, Paula wants to have the exact same number of each item. This means that both the number of juice boxes (J) and the number of yogurt treats (Y) must be multiples of the least common multiple (LCM) of 6 and 10.

The LCM of 6 and 10 is 30.

So, Paula needs to have a multiple of 30 for both the number of juice boxes and the number of yogurt treats.

To find the values of J and Y, we can choose any multiple of 30.

Let's say Paula decides to have 30 juice boxes (J = 30) and 30 yogurt treats (Y = 30).

Now, let's find out how many packages of each she will need:

For juice boxes (packages of 6): J / 6 = 30 / 6 = 5 packages

For yogurt treats (packages of 10): Y / 10 = 30 / 10 = 3 packages

So, Paula will need 5 packages of small juice boxes and 3 packages of yogurt treats to have the exact same number of each item, resulting in a total of 30 juice boxes and 30 yogurt treats.

The algebraic expression '5c + 12d - 6' cannot be simplified without knowing the values of the variables 'c' and 'd'. With specific values, you will be able to simplify the expression. For example, if c is 2 and d is 3, the expression simplifies to 40.

The expression given, 5c + 12d - 6, is an algebraic expression which consists of variables, constants, and operations. Here, the variables are 'c' and 'd', the constants are 5, 12 and -6, and the operations are addition and subtraction.

In order to simplify this expression, we should know the values of the variables. Without knowing the specific values of 'c' and 'd', the expression 5c + 12d - 6 cannot be simplified any further.

Let me explain with an example. If 'c' is 2 and 'd' is 3, you would replace the variables 'c' and 'd' in the expression with their given values. This would give: 5(2) + 12(3) - 6 = 10 + 36 - 6 = 40. But without specific values for 'c' and 'd', the expression remains as 5c + 12d - 6.

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We know, 3 feet = 1 yard.

We have to convert feet to yards to calculate the ratio so that the final answer doesn't have any unit.

Therefore, 21 feet = [tex]\frac{21 feet}{3 feet}yards[/tex] = 7 yards

Thus, the ratio

[tex]\frac{21feet}{8yards} =\frac{7yards}{8yards} =\frac{7}{8}[/tex]

The fraction [tex]\frac{7}{8}[/tex] is already in its simplest form.

Therefore, the given ratio as a fraction in the simplest form without any units is [tex]\frac{7}{8}[/tex]

Final answer:

The ratio of 21 feet to 8 yards simplifies to 7/8 when both measurements are converted to the same units (feet) and the ratio is reduced to simplest form.

Explanation:

To write the ratio of 21 feet to 8 yards as a fraction in simplest form without any units, first, we need to ensure both measurements are in the same unit.

We know that 1 yard equals 3 feet, so 8 yards equal 24 feet. Therefore, the ratio of 21 feet to 8 yards (24 feet) can be written as 21 to 24, which simplifies to 7/8 when dividing both numbers by their greatest common divisor, which is 3.

∠n and ∠p are supllementary angles, therefore m∠n + m∠p = 180°.

[tex]m\angle p=21x+25\\\\m\angle n=\dfrac{675x-27}{3}=\dfrac{675x}{3}-\dfrac{27}{3}=225x-9[/tex]

therefore

[tex](21x+25)+(225x-9)=180\\\\(21x+225x)+(25-9)=180\\\\246x+16=180\qquad|-16\\\\246x=164\qquad|:246\\\\x=\dfrac{164}{246}\\\\x=\dfrac{2}{3}[/tex]

[tex]m\angle p=21x+25[/tex]

substitute

[tex]m\angle p=21\cdot\dfrac{2}{3}+25=7\cdot2+25=14+25=39^o[/tex]

[tex]m\angle n=225x-9[/tex]

substitute

[tex]m\angle n=225\cdot\dfrac{2}{3}-9=75\cdot2-9=150-9=141^o[/tex]

Angles on a straight line add up to [tex]180^o[/tex].

Given that:

[tex]\angle p = 21x + 25[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

To calculate the value of x, we use:

[tex]\angle p + \angle n = 180^o[/tex] --- angle on a straight line.

So, we have:

[tex]21x + 25 + \frac{675x - 27}{3} = 180[/tex]

[tex]21x + 25 + 225x - 9 = 180[/tex]

Collect like terms

[tex]21x + 225x = 180 + 9 - 25[/tex]

[tex]246x = 164[/tex]

Divide both sides by 246

[tex]x = \frac 23[/tex]

To calculate the measures of p and n, we substitute [tex]x = \frac 23[/tex] in

[tex]\angle p = 21x + 25[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

So, we have:

[tex]\angle p = 21x + 25[/tex]

[tex]\angle p = 21 \times \frac 23 + 25[/tex]

[tex]\angle p = 39[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

[tex]\angle n = \frac{675 \times 2/3 - 27}{3}[/tex]

[tex]\angle n = 141[/tex]

Hence, the value of x is 2/3.

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Graph the inequality on a number line g>2.75

Solution

Step 1: To graph this inequality, we have to draw a number line.

Step 2: Mark the 0 in the middle and mark the each unit 0.25 so that, we can plot 2.75 exactly.

Step 3: Draw an open circle at 2.75 and extent the shadow to the right, which means the solution is greater than 2.75.

Note: Attached the graph. Please take a look at it.

Thank you :)

To graph the inequality "g > 2.75" on a number line, follow these steps. Start by drawing a horizontal number line. see image attached.

To draw the inequality "g > 2. 75" on a number line, do the following steps.

Begin by making a straight line that goes from left to right. Find the spot 2. 75 and make a mark with a circle that is not filled in because the inequality is more than (not the same as).

Then, shade the region to the right of the open circle to represent all values of "g" that are greater than 2.75. This shaded area indicates the solution set. The open circle emphasizes that 2.75 itself is not included in the solution, only values greater than it.

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Step 1. Simplify 7/9(6x - 36) to 7(6x - 36)/9

23 = 7(6x - 36)/9 + 9

Step 2. Factor out the common term

23 = 7 * 6(x - 6)/9 + 9

Step 3. Simplify 7 * 6(x - 6) to 42(x - 6)

23 = 42(x - 6)/9 + 9

Step 4. Simplify 42(x - 6)/9 to 14(x - 6)/3

23 = 14(x - 6)/3 + 9

Step 5. Subtract 9 from both sides

23 - 9 = 14(x - 6)/3

Step 6. Simplify 23 - 9 to 14

14 = 14(x - 6)/3

Step 7. Multiply both sides by 3

14 * 3 = 14(x - 60

Step 8. Simplify 14 * 3 to 42

42 = 14(x - 6)

Step 9. Divide both sides by 14

42/14 to x - 6

Step 10. Simplify 42/14 to 3

3 = x - 6

Step 11. Add 6 to both sides

3 + 6 = x

Step 12. Simplify 3 + 6 to 9

9 = x

Step 13. Switch sides

x = 9

Final answer:

The solution to the equation is x = 9.

Explanation:

To solve for x, we need to isolate it on one side of the equation.

Let's start by distributing 7/9 to the terms inside the parentheses:

23 = (7/9)(6x - 36) + 9

Next, simplify the expression inside the parentheses:

23 = (7/9)(6x) - (7/9)(36) + 9

Now, multiply 7/9 with 6x and 36:

23 = (42/9)x - (252/9) + 9

Simplify the fractions:

23 = (14/3)x - (28/1) + 9

Combining the constants:

23 = (14/3)x - 19

Add 19 to both sides:

23 + 19 = (14/3)x

Now we have:

42 = (14/3)x

To isolate x, divide both sides by 14/3:

42 / (14/3) = x

Simplify the expression:

42 * (3/14) = x

Now, calculate:

x = 9

the answer to the first one is b,c

The correct answer is none of the ones listed. The correct answer is 18/5.

In order to find this, follow the order of operations.

−(−2−5x)+(−2)=18 ---> Distribute the negative

2 + 5x - 2 = 18 ----> Combine like terms

5x = 18 -----> Divide by 5

x = 18/5

Answer: [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

1. You have the following expression given in the problem above:

[tex]\frac{(5^{-3})(2^{2})(5^{6})} {(2^{3})(5^{2})}[/tex]

2. You must apply the exponents properties, as following:

- To multiply powers that has the same bases, add the exponents of the bases that are equal:

[tex]\frac{(5^{(-3+6)})(2^{2})} {(2^{3})(5^{2})}=\frac{(5^{3})(2^{2})} {(2^{3})(5^{2})}[/tex]

- To divide powers that has the same bases, you must substract the exponents of the bases that are equal:

[tex]\frac{5^{(3-2)})} {2^{(3-2)}}=\frac{5}{2}[/tex]

3. Therefore, the answer is [tex]\frac{5}{2}[/tex]

Answer:

5/2

Step-by-step explanation:

putting the exponents and then

I think the relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional because :

Let us assume here, in this situation that each page has the same weight so if i want to find the weight of the complete stack, i will multiply the number of sheets of paper by the weight of a single sheet of paper.

The relationship between Standard stack and number of sheet is proportional.

Therefore, relationship between them is proportional

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Answer:

10

Step-by-step explanation:

2/3 x 15 = 10

The answer is

“A property of the real numbers states that if the numbers are grouped in a sum or in the form of its product, the value does not change.

a(b + c) = ab + ac, or a(b - c) = ab - ac”

Distributive property states that we can multiply each term outside the parenthesis with the term present inside the parenthesis. It involves multiplication and addition or multiplication and subtraction. In mathematics, distributives property is frequently used.

Some examples of distributive property are:

3 (1 + 3) = 3. 1 + 3. 3

4 (2 – 1) = 4.2 – 4.1

Answer:

b

Step-by-step explanation:

To undo a square root in an equation, you square both sides of the equation. This will eliminate the square root on one side and gives you the original value under the square root. It simplifies the equation, making it easier to solve.

To undo a square root in an equation that includes a radical expression, you have to square that part of the equation. Here is an example to illustrate this:

Suppose you have the equation √x = 2. To undo the square root, you need to square both sides of the equation: (√x)² = 2². This operation results in the equation x = 4.

Remember, when squaring a square root, the result is the original number under the radical. Therefore, the process of 'undoing' the square root is to square the radical expression. This helps us to have equations in a simpler form, which further makes it easier for us to solve.

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Answer:

Transformation : [tex](x,y)\rightarrow (x,-y)[/tex]

Step-by-step explanation:

We are given pre-image is above x-axis abd original figure below x-axis.

As we know y-axis below x-axis always negative. When we translate about x-axis only y value of each coordinate change.

x-coordinates remain same.

Best transformation for below x-axis to above x-axis would be [tex](x,y)\rightarrow (x,-y)[/tex].

For example, (2,-3) change to (2,3)

This is valid to all types of figures which form below x-axis.

Answer,

-1/9 + -5/9 = -2/3

Hope this helps :-)

Answer: B) [tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]

Step-by-step explanation:

1. You can calculate the slope by applying the following formula:

[tex]m=\frac{y_{2}.y_{1}}{x_{2}-x_{1}}[/tex]

2. The point A is (0,0) and the point C is (3,2).

Where:

[tex]y_{2}=2\\y_{1}=0\\x_{2}=3\\x_{1}=0[/tex]

3. The point C is (3,2) and the point E is (6,4).

Where:

 [tex]y_{2}=4\\y_{1}=2\\x_{2}=6\\x_{1}=3[/tex]

4. Then, you have:

[tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]

[tex]\frac{2}{3}=\frac{2}{3}[/tex]

5. Therefore, the slope of AC is equal of the slope CE.

The answer is (2, 1)

We can solve this by using midpoint formula

[tex]M = (x_{1} + x_2)/2, (y_1 + y_2} ) /2[/tex]

because in a plane the coordinates of midpoint of a line is the average of each other coordinates.

So,

[tex]x_1 = -1, x_2 = 5[/tex]

[tex]y_1 = 0. y_2 = 2[/tex]

Putting values in formula as

[tex]M = (-1+5) / 2, (0+2) / 2[/tex]

[tex]M = (2, 1)[/tex]

Answer:  The required co-ordinates of the endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint of CD is E (-1,0) and one endpoint is C (5,2).

We are to find the co-ordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the endpoint D.

We know that

the co-ordinates of the midpoint of a line segment withe endpoints (a, b) and (c, d) is given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

Therefore, according to the given information, we have

[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]

and

[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required co-ordinates of the endpoint D are (-7, -2).

Squares have equal side lengths, so that is why the question is only asking for one side length.

The area of a square is calculated using the formula s^2, where s stands for a side of the square.

To find the length of one side of the park, you can take the given area (3,600 m^2) and square root it. This would give you the length of one side of the square park.

√3,600 = 60

The length of one side of the park is 60 meters.

The length of one side of the square park with an area of 3600 square meters is 60 meters.

Given that the area of the square park is 3600 square meters, we can calculate the length of one side by taking the square root of the area. This is because the area of a square is calculated by squaring the length of one side (side length X side length). So, if we reverse this process by taking the square root, we find the length of one side.

So, "the length of one side of the park is the square root of 3600 which equals 60 meters".

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I think the answer to this question is 306,040,608. If we are supposed to write it out then it is (3 × 100,000,000) + (6 × 1,000,000) + (4 × 10,000) + (6 × 100) + (8 × 1)

Hello there!

[tex]4v - 1 = -5v - 10[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to add by 1 from both sides of the equation.

[tex]4v-1+1=-5v-10+1[/tex]

Simplify

[tex]4v=-5v-9[/tex]

Then you add by 5v from both sides of the equation.

[tex]4v+5v=-5v-9+5v[/tex]

Simplify

[tex]9v=-9[/tex]

Divide by 9 from both sides of the equation.

[tex]\frac{9v}{9}=\frac{-9}{9}[/tex]

Simplify it should be the correct answer.

[tex]v=-1[/tex]

Answer⇒⇒⇒⇒v=-1

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

An equivalent ratio to 8:4 is 2:1. This is found by simplifying the original ratio by dividing both numbers by their greatest common divisor, which is 4.

To find an equivalent ratio to 8:4, we can simplify the given ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 8 and 4 is 4.

So, we divide 8 by 4 to get 2 and 4 by 4 to get 1. Therefore, 2:1 is an equivalent ratio to 8:4.

An equivalent ratio to 8:4 is 2:1. This is found by simplifying the original ratio by dividing both numbers by their greatest common divisor, which is 4.

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32

PEDMAS - order of operations

Parenthesis

Exponents

Divide

Multiply

Add

Subtract

Answer:

33

Step-by-step explanation:

Parenthesis First:

3 * 4 = 12

Now Exponents:

6 ^ 2 = 36

2 ^ 4 =16

Put It Together:

36 + 13 = 49

49 - 16 = 33

For this case we have:

As both measurements are in kilometers, we can compare both numbers.

It is known that [tex]2.07> 2.063[/tex]

Thus, the longest bridge is bridge 2.

To know the difference in length between the bridges, we subtract the quantities:

[tex]2.07-2.063 = 0.007[/tex] kilometers difference

The difference between the two bridges is 0.007 km

Answer:

The longest bridge is bridge 2

The difference in length between the bridges of 0.007 km

The Anping Bridge is 0.007 kilometers or 7 meters longer than the Walkway Over the Hudson.

The Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063 kilometers long. The Anping Bridge, which was built 850 years ago, is 2.07 kilometers long.

Therefore, the Anping Bridge is longer than the Walkway Over the Hudson by 0.007 kilometers or 7 meters.

To calculate the difference in length, subtract the length of the Walkway Over the Hudson from the length of the Anping Bridge.

7 meters or 0.007 kilometers

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Answer:

it would be 68

Step-by-step explanation:

i hope it helps

Problem

You deposit $5000 into a bank account paying 6.3% simple interest per year. You left the money in for 3 years. How much interest do you get at the end of those 3 years?

Result

The interest is $945.

Then you add 5000 to your interest rate of 945 so your answer would be 5945 . I think I'm not that great with math but I really hope I helped .