Augusta sells t-shirts at the school store. On Tuesday, Augusta sold 7 less than twice the number of t-shirts she sold on Monday. She sold 3 t-shirts on Tuesday. Write an algebraic equation to represent m, the number of t-shirts August sold on Monday.

[tex]x^2(x+2)(x+6)=0\\\\x^2=0 \vee x+2=0 \vee x+6=0\\\\x=0 \vee x=-2 \vee x=-6[/tex]

Here we need to find the 3 solutions of the equation x^2*(x + 2)*(x + 6) = 0.

The solutions are:

x = 0, x = -2, and x = -6

Let's see how to get the solutions:

First, notice that for an equation like:

A*B*C = 0

We must have:

A = 0, or B = 0, or C = 0.

Notice that our equation x^2*(x + 2)*(x + 6) = 0 has 3 coefficients, we will get one solution by making each one of these equal to zero.

x^2 = 0

x = √0 = 0.

(x + 2) = 0

x = 0 - 2 = -2

(x + 6) = 0

x = 0 - 6 = -6

Then the 3 solutions are:

x = 0, x = -2, and x = -6

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No because there will be a time when you need to determine the absolute value for instance: Absolute values are often used in problems involving distance and are sometimes used with inequalities

Answer:

It's the first option

Step-by-step explanation:

I just answered the question on edge

The perimeter of the base of the larger pyramid is 12 cm, determined through the ratio of the volumes of the pyramids.

The volumes of similar figures are related by the cube of the ratio of their corresponding lengths. If the larger pyramid has a volume of 729 cm³ and the smaller pyramid has a volume of 64 cm³, then the ratio of their volumes is 729/64, which is the cube of the ratio of their corresponding lengths. Taking the cube root of this ratio gives 3/2, so the lengths in the larger pyramid are 3/2 times the lengths in the smaller pyramid. Thus, if the perimeter of the base of the smaller pyramid is 8 cm, the perimeter of the base of the larger pyramid is 3/2 times this, or 12 cm.

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Answer:

C and D

Step-by-step explanation:

You can tell if equations have no solution if the variables on both sides of the equation are the same.

Choice C is 10+6x=15+9x-3x. You would combine 9x and -3x, turning the equation into 10+6x=15+6x. Since there is a 6x on both sides, Choice C would have no solution.

The same for Choice D. When you simplify everything there is a 3x on both sides, so it would have no solution.

bhhkjoih

Equivalent expressions are expressions with the same value.

The equivalent expression is [tex]\mathbf{5(2) +5(7)}[/tex]

The expression is given as:

[tex]\mathbf{5(2 +7)}[/tex]

Express as an equation

[tex]\mathbf{5(2 +7) =5(2 +7)}[/tex]

Apply distributive property

[tex]\mathbf{5(2 +7) =5(2) +5(7)}[/tex]

Hence, the equivalent expression is [tex]\mathbf{5(2) +5(7)}[/tex]

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23x-13=2(x+2)

First you would distribute the 2 into the parenthesis

It will look like this after: 23x-13=2x+4

Then you would subtract 2x on both sides because u have to get the x's on one side

It will look like this after:21x-13=4

Then you would add 13 to both sides

It will look like this after: 21x=17

Then you would divide 21 on both sides

Your final product is 21/17

The solution to the equation 23x - 13 = 2(x + 2) is found by distributing, subtracting 2x, adding 13, dividing by 21, and then checking the solution.

To solve the algebraic equation 23x - 13 = 2(x + 2), let's apply algebraic methods and justify each step:

Distribute the 2 into the parentheses on the right side of the equation: 23x - 13 = 2x + 4. This step applies the distributive property a(b + c) = ab + ac.

Subtract 2x from both sides to start isolating x: 21x - 13 = 4. This maintains the balance of the equation, following the subtraction property of equality.

Add 13 to both sides in order to get terms with x on one side and constants on the other: 21x = 17. This action uses the addition property of equality.

Divide both sides by 21 to solve for x: x = 17/21. This is done using the division property of equality to isolate the variable x.

Check the solution by substituting x back into the original equation to ensure that both sides are equal.

By following these steps, we arrive at the correct solution for x and justify the use of algebraic properties that ensure the balance and equivalence of the equation throughout the process.

The answer would be the fourth choice.

3p + 3q = 36    equation 1

5p + 39 = 40    equation 2

subtracting 39 both sides of equation 1.

5p +39 -39= 40-39

5p =1 ⇒   5p/5 = 1/5     ⇒ p = 1/5

putting value of p in equation 1.

3(1/5) +3q =36

3/5 +3q  =36       equation 3

subtracting 3/5 both sides equation 3 becomes.

3q =36 -3/5

3q=177/5      equation 4

dividing 3 both sides of equation 4

q=59/5

Answer:

The speed in scientific notation is [tex](1.1)(10^{3})[/tex] feet per second.

Step-by-step explanation:

1. You have the following speed: One thousand one houndred feet per second.

2. You must convert from words to number. This is:

1,100 feet per second

3. To express this quantity in scientific notation, you can move the decimal point three places to the left, and write it as: 1.1 by [tex]10^{3}[/tex] (or 1,000) as following:

[tex]1,100=(1.1)(10^{3})[/tex]

The speed of sound in air, which is about one thousand one hundred feet per second, is represented in scientific notation as 1.1 x 10³.

The speed of sound in air as reported by a weather reporter is approximately one thousand one hundred feet per second. To express this speed in scientific notation, we convert 1,100 to a number between 1 and 10 multiplied by a power of 10. The number 1,100 is equivalent to 1.1 x 103 in scientific notation.

HI Sydney!

Question:

Solve 5^2 - 4 x 6 + 11

Solution:

Remember to follow PEMDAS,

= 5^2 - 4 x 6 + 11

= 25 - 4 x 6 + 11

= 25 - 24 + 11

= 1 + 11

= 12

Answer: 12

Answer:

102

Step-by-step explanation:

5*2 would be?

10

But we are not done... We have to minus 10 and 4

Which will give us   -      6

Then you do 6+11 ..

Which will give you 17..

So what do we do will 6 and 17?

WE MULTIPLY IT...

6 * 17

Will get you 102....

Hope this helps...

5 and 28 if wrong let me know

Answer:

An integer is a whole number  that can be positive, negative, or zero

The negative of a negative number is positive. -(-3) = +3

The negative of a positive number is negative. -(3) = -3

Zero can neither be positive nor negative

Answer:

11. Triangles to rectangles: [tex]\frac{1}{4}[/tex] or [tex]1:4[/tex]

    For each triangle there are 4 rectangles.

12. Soccer balls to footballs: [tex]\frac{3}{5}[/tex] or [tex]3:4[/tex]

    For every 3 soccer balls there are 5 Footballs.

13. - Kittens to puppies: [tex]\frac{3}{1}[/tex] or [tex]3:1[/tex]

       For every 3 kittens there is a puppy.

    - Puppies to kittens: [tex]\frac{1}{3}[/tex] or [tex]1:3[/tex]

      For each puppy there are 3 kittens.

Step-by-step explanation:

To express a counting problem as a ratio you should divide the number of things before the word "to" by the number of things after the word "to". A ratio can be expressed as a fraction or separating the two numbers with a colon (a:b).

Let's apply this to each one of our problems.

11. Here we have triangles to rectangles, so we are going to divide the number of triangles by the number of rectangles.

We can count 2 triangles and 8 rectangles from our picture, so

Triangles to rectangles = [tex]\frac{NumberofTriangles}{NumberifRectangles} =\frac{2}{8}[/tex]

Notice that both numerator and denominator of our ratio are divisible by 2, so simplify it, we just need to divide them both by 2:

[tex]\frac{2}{8} =\frac{\frac{2}{2} }{\frac{8}{2} } =\frac{1}{4}[/tex]

So the ratio from triangles to rectangles is [tex]\frac{1}{4}[/tex] or [tex]1:4[/tex]

which means that for 1 triangle there are four rectangles.

12. Here we have soccer balls to footballs, so we are going to divide the number of soccer balls to the number of footballs and simplify our resulting fraction. We have 6 soccer balls and 10 footballs in our picture

Soccer balls to footballs = [tex]\frac{NumberofSoccerBalls}{NumberofFootballs} =\frac{6}{10} =\frac{\frac{6}{2} }{\frac{10}{2} } =\frac{3}{5}[/tex]

For every 3 soccer balls there are 5 Footballs.

13. Here we have kittens to puppies or puppies to kittens. We know that there are 36 Kittens and 12 puppies.

- Kittens to puppies = [tex]\frac{NumberofKittens}{NumberofPuppies} =\frac{36}{12} =\frac{\frac{36}{12} }{\frac{12}{12} } =\frac{3}{1}[/tex]

For every 3 kittens there is a puppy.

- Puppies to kittens = [tex]\frac{Number of Puppies}{NumberofKittens} =\frac{12}{36} =\frac{\frac{12}{12} }{\frac{36}{12} } =\frac{1}{3}[/tex]

For each puppy there are 3 kittens.

f(3) means you replace x with 3.

f(x) = 7-x

f(3) = 7-3

f(3) = 4

Hey there!!

Given :

f( x ) = 7 - x

What is f(x)?

f(x) is basically the y.

The question states :

y = 7 - x

Now, find ( 3 )

This states that, I have given the value for x and find y.

y = 7 - x

y = 7 - 3

y = 4

Hence, f(3) = 4

Hope helps!

well first you want to do 21/32 and you get 0.6562

then youll do 7/8 you get 0.875

then youll divide 0.6562 by 0.875 you get 0.7499

then it would be 7499/10000 converted back into a fraction

To divide fractions like 21/32 divided by 7/8, we multiply the first fraction by the reciprocal of the second, getting (21 times 8)/(32 times 7) which simplifies to 3/4.

The subject in your question is Mathematics, specifically division of fractions. To divide fractions, we need to first understand the concept of reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So the reciprocal of 7/8 is 8/7. When you divide by a fraction, it's the same as multiplying by its reciprocal. Therefore, 21/32 divided by 7/8 equals 21/32 times 8/7.

To further solve this, you multiply the numerators together to get a new numerator and the denominators to get a new denominator. So you get (21 times 8)/(32 times 7) which is 168/224. When you simplify this fraction, you should get 3/4. So, 21/32 divided by 7/8 is 3/4.

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Hello,

Question:

George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging?

We know:

He jogged 9 1/2 miles during October and November

1/4 mile every day

Answer:

9 and 1 over 2 divided by 1 over 4

Answer:

A. -1 1/5

Step-by-step explanation:

−4 4/5 ÷ 4 = -1.2

-1.2 as a fraction would be, -1 1/5

Hope this helps :-)

The answer is choice D) Two rays that share the same endpoint

======================================

Here's a full breakdown of the four choices

A. False. If the ray and line aren't touching, then an angle can't be formed.

B. False. Parallel lines never cross. The same issue as before (in part A) comes up.

C. False. Again the rays need to meet up somehow.

D. True. If you have two rays that share the same endpoint, then they form an angle. Think of it like a pair of scissors. Each blade is a ray. The blades are joined at a common node to allow the blades to swing open or closed. You could have an angle formed by line segments or lines, but they would have to intersect in some way.

Option D. two rays that share the same endpoint, is correct.

An angle is formed by:
A. any ray and any line
B. parallel lines
C. any two rays
D. two rays that share the same endpoint

The angle can be defined as the one line inclined over other line.

When the line as same end points and
one of the line is inclined over other by some measure called as angle.

Thus the option D two rays that share the same endpoint is correct

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2.50 x 8.00= 10.50. :)

The relationship between the number of drinks bought and the total cost is represented by the equation [tex]C = 2.50 \times d[/tex], with d being the number of drinks. A table can be used to display this relationship, indicating the incremental increase in cost with each additional drink.

To represent the relationship between the number of drinks bought at the fair and the total cost, we can define a variable, let's say d, where d represents the number of drinks purchased. Since each drink costs $2.50, we can write the equation for the total cost C as:

[tex]C = 2.50 \times d[/tex]

Now, let's construct a table to show some examples of how this equation works:

 Number of Drinks (d) Cost (C)   1 $2.50   2 $5.00   3 $7.50   4 $10.00  

The equation C = 2.50  imes d helps us understand that for every additional drink bought, the cost increases by $2.50.

Answer:

Celsius is going up by 10's while Fahrenheit is going up by 18

Step-by-step explanation:

by subtracting the first two numbers then the next two you will see the pattern.

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

the perimeter of the rectangle is equal to

[tex]P=2x+2y[/tex]

[tex]P=190\ in[/tex]

so

[tex]2x+2y=190[/tex]------> equation A

[tex]y=4\ in[/tex] ------> equation B

substitute equation B in equation A

[tex]2x+2*4=190[/tex]

[tex]2x+8=190[/tex]

therefore

the answer is

[tex]2x+8=190[/tex]

Final answer:

Frances will first have piano lessons, ballet lessons, and soccer on the 20th day as it is the least common multiple of the days she has each activity (4, 5, and 2 days respectively).

Explanation:

The student is asking about the day Frances will first have piano, ballet, and soccer activities all on the same day. This calls for finding the least common multiple (LCM) of the numbers representing the days on which she has each activity (every fourth, fifth, and second day).

Frances has piano lessons every fourth day, ballet every fifth day, and soccer every second day. To find the day when all three activities coincide, we need to calculate the LCM of 4, 5, and 2:

The first common multiple they all share is 20. Therefore, Frances will first have all three activities on the 20th day.

Answer:

For Ajay , [tex]y=200x+325[/tex]

For Tory, [tex]y=250x[/tex]

Step-by-step explanation:

Formula to find distance = rate × time

Rate of Ajay = 200

Rate of Tory = 250

In x minutes

Distance travelled by Ajay = 200 ×x = 200x

Distance travelled by Tory = 250 ×x = 250x

But Ajay was already ahead by 350 meters.

So for Ajay, the distance y traveled in x minutes

[tex]y=200x+375[/tex]

For Tory

[tex]y=250x[/tex]

Answer:

The rates are:

Ajay : 200

Tory : 250

I assume those are in meters per minute.

Now, we suppose that Ajay began the trail 325 meters ahead, so if we put the zero in Tory position, we got:

Ajay position = 325 meters + 200*x meters

Tory position = 250*x meters

Where x is the number of minutes after they started to bike.

From this, we can compare their positions, and see in which minute x Tory position and Ajay position are the same.

325 + 200x = 250x

325 = 250x - 200x = 50x

x = 325/50 = 6.5 minutes.

So before of x = 6.5 minutes, Ajay is ahead. After x =6,5 minutes, Tory is ahead.

First isolate x by multiplying by x on both sides.  It will look like this:

(2/3)x=1.2

Then devise by (2/3) on both sides to get:

x= 1.2/(2/3)

The easiest way to get this is plug that into a calculator and get the answer:

x=1.8

Final answer:

To solve the proportion 2/3 = 1.2/x, we use cross multiplication resulting in the equation 2x = 3.6. Dividing both sides by 2 gives us x = 1.8.

Explanation:

To solve for x in the proportion 2/3 = 1.2/x, we can set up a cross multiplication. This will give us the equation 2x = 3.6 (since 2 multiplied by x equals 1.2 times 3). To find the value of x, we then divide both sides of the equation by 2, leading to x = 3.6 / 2.

Therefore, we get x = 1.8 after simplifying the division.

Hey there!!

First equation :

Given equation :

... 2 ( n + 1 ) + 1 = ( n - 5 ) + ( n - 2 )

Excluding the parenthesis and using the distributive property :

... 2n + 2 + 1 = n - 5 + n - 2

Combining all the like terms on each side :

... 2n + 3 = 2n - 7

Subtracting 2n and subtracting 3 on both sides :

... 0 = -10

Hence, the first equation has "zero" values.

Second equation :

Given equation :

... 3 ( n - 1 ) - 2 = 4 ( n - 4 ) - ( n - 1 )

Using the distributive property :

... 3n - 3 - 2 = 4n - 16 - n + 1

Combining all the like terms :

... 3n - 5 = 3n - 15

Adding 5 and subtracting 3n on both sides :

... 0 = -10

Hence, the second equation has "zero" values.

Hope my answer helps!!

Answer: 3 + 9i or C

Step-by-step explanation:

(4 - 1) = 3

2i - (negative)7 = 9i

Answer:

It's the first one!

I just took the test. Hope this helps!

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).

1, If 0 are negative the product is positive, but if 2 are negative then answer is still positive. At least 1 but could also be 1,3,5.

1, If 0 are negative the product is positive