A rectangle has a perimeter of 30 inches.  Its length is one less than three times its width.  What are the length and width of the rectangle?

Step 1 = Distributive Property ( multiplying the 2 by each term in parenthesis)

Step 2 = Addition Property ( adding like terms)

Step 3 = Addition Property (adding 34x to each side)

Step 4 = Division Property. ( dividing both sides by 17)

Do you need all the coordinates or just A' and B'

Part A:

If 25% is dark chocolate and the rest is milk chocolate then, dark + milk = all

25% + milk chocolate= 100%

Subtract 25% from both sides and 100 minus 25 is 75 so, milk chocolate is 75% of all the chocolate.

Now, if there is 3 pounds of milk chocolate then 3 pounds= 75%.

You would divide by 3 so, 75 divided by 3 is 25.

1 pound or lb= 25% which us the amount of dark chocolate that there is.

Now, we know that there milk chocolate is 75% and dark chocolate is 25% of all the chocolate.

M= pounds of milk chocolate

D= dark chocolate

Equation: m divided by d or m/d= 75 divided by 25 or 75/25 or m/d=3 and m=3

3 divided by d or 3/d=3

3=3d

D=1

Part B:

There is 1 pound of dark chocolate in the candy.

Hope this helps! :)

Final answer:

The equation to find the total pounds of dark chocolate and milk chocolate in the candy is 0.25x + 3 = x. There are 4 pounds of dark chocolate present in the candy.

Explanation:

Part A: Let's define the variable x as the total number of pounds of dark chocolate and milk chocolate in the candy. Since the candy contains 25% dark chocolate, we can represent the pounds of dark chocolate as 0.25x. The candy also has 3 pounds of milk chocolate, so we can represent the pounds of milk chocolate as 3. Therefore, the equation is: 0.25x + 3 = x.

Part B: To find the pounds of dark chocolate in the candy, we can solve the equation from Part A. First, subtract 0.25x from both sides: 3 = 0.75x. Then, divide both sides by 0.75 to solve for x: x = 4. Therefore, there are 4 pounds of dark chocolate present in the candy.

You can solve this using long division. The answer should end up being 2.3.

Answer:

2.3

Step-by-step:

[tex]|\Omega|=20\cdot19=380\\|A|=4\cdot12=48\\\\P(A)=\dfrac{48}{380}\approx0.13[/tex]

Since the ratio is as simple as 1:2, just double each Euro value.

1:2, 2:4, 5:10, 10:20.

Answer:

$4,$10,$20.

Step-by-step explanation:

Positive. The distance from a number to zero is always positive

Positive. The distance from a number to zero is always positive . hope that helps

Answer:

The answer is 8.

Step-by-step explanation:

If is

[tex]\sqrt{r^{64}}=\sqrt{r^{32\cdot2}}=\sqrt{(r^{32})^2}=r^{32}[/tex]

Used:

[tex](a^n)^m=a^{nm}\\\\\sqrt{a^2}=a\ for\ a\geq0[/tex]

If is

[tex]\sqrt{64}=8[/tex] because [tex]8^2=64[/tex]

9*54=486  

10x50=500

So, either 450 or 500.

I think it is 25 sorry if im wrong

Answer:

There were 25 guest in Dan's party.

Step-by-step explanation:

We are given the following information in the question:

Number of classmates came to Dan’s birthday party = 5

Number of friends from his summer camp = Number of classmates came to Dan’s birthday party = 5

Number of relatives in Dan's party =

Let x be the number of relatives, then,

[tex]\displaystyle\frac{x}{3} = 5\\\\x = 15[/tex]

Total number of guest in Dan's party =

[tex]\text{Number of classmates came to Dan’s birthday party} +\\ \text{Number of friends from his summer camp } + \\\text{Number of relatives}\\= 5 + 5 + 15\\=25[/tex]

Hence, there were 25 guest in Dan's party.

2(x+1) = 2x+5

2x + 2 = 2x = 5

2 ≠ 5

Answer

B. No solution

Hello, Jssoyg! I've solved the problem for you below. I hope it helps.

Slope equation is[tex]\frac{y2 - y1}{x2 - x1}[/tex]. The two points are (0,1) and (4,2), so the equation becomes [tex]\frac{2 - 1}{4 - 0} = \frac{1}{4}[/tex]. We now know that the slope is 1/4, so now let's write it in the [tex]y = mx + b[/tex] format. Plug in the m, x, and y values:[tex]2 = 4*\frac{1}{4} + b[/tex].

This becomes [tex]2 = 1 + b[/tex] which means b = 1.

Your answer is y = 1/4x + 1. Hope this was helpful. :D

No, it is not.

Hope it helped! :)

Sine, Cosine, Tangent, Cosecant (opposite of Sine), Secant (opposite of Cosine), and Cotangent (opposite of Tangent)

Answer:

18 rolls of nickles

Step-by-step explanation:

One roll of dimes would be the same value as 2 rolls of nickles. If she has 9 rolls of dimes, she would have 18 rolls of nickles.

Dont forget to thanks and rate!

Alysha has 13 nickel rolls.

Let x be the number of dime rolls and y be the number of nickel rolls.

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Each dime roll has 50 dimes, then x dime rolls are worth 50×10×x=500x cents or $5x.

Each nickel roll has 40 nickels, and then y nickel rolls are worth 40×5×y=200y cents or $2y.

A. The total value of Alysha's rolls is 500x+200y cents or $(5x+2y).

If the total value of the coins is $71 and she has 9 rolls of dimes, then x = 9 and 5×9+2y=71.

⇒45+2y=71

⇒2y=71-45

⇒2y=26

⇒y=13

Therefore, Alysha has 13 nickel rolls.

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Alysha has a collection of dime and nickel rolls that she'd like to take to the bank. Each dime roll has 50 dimes and each nickel roll has 40 nickels.

a) Write an equation to represent the total value of

b) If the total value of the coins is $71 and she has 9 rolls of dimes, how many does she have?

x=16/3 or 5.33333333

Answer:

Step-by-step explanation:

multiply by 3 the whole equation

6×3 = (x)×3  + (2/3) ×(3)

18 =3x + 2

subtracting 2 both sides

18-2 = 3x +2-2

16= 3x

dividing by 3 both sides

16/3 = 3x / 3

16/3 = x

Answer: The correct reason for [tex]\angle4\cong \angle7[/tex] is property of corresponding angles and the reason for [tex]\angle4+\angle6=180[/tex] is substitute [tex]\angle7=\angle4[/tex] and the third error is the forget the property that the sum of consecutive interior angles is 180.

Explanation:

It is given that m is parallel to n.

When  two parallel lines intersected by a transversal eight angles are produced as shown in the given figure, where m and n are parallel and l is the transversal line.

In this case corresponding angles are congruent. Example [tex]\angle1\cong \angle5[/tex],[tex]\angle2\cong \angle6[/tex] etc.

So, [tex]\angle4\cong \angle7[/tex] by the property of corresponding angles.

[tex]\angle7+\angle6=180[/tex] because these are supplementary angles.

Substitute [tex]\angle7=\angle4[/tex]

[tex]\angle4+\angle6=180[/tex]

So, the correct reason is substitution.

Hence proved [tex]\angle4+\angle6=180[/tex]

The third error is the forget the property that the sum of one side interior angles is 180. Since the alternate interior angles are congruent therefore the consecutive interior angles are supplementary angles around the sum of consecutive interior angles is 180 degree.

Hey there!

The slope of the equation is -4.

This is because each time x increases by 1, y increases by -4.

You can typically find the slope right in front of the x value in equations that look like this one.

Hope this helps!

Solve:

(3x    −   4)(2x^2     +      2x    −   1)

Simplify:

(3x     −      4)(2x^2      +       2x     −    1)

=      (3x     +    −4)(2x^2     +        2x        +        −1)

=   (3x)(2x^2)    +   (3x)(2x)   +   (3x)(−1)    +    (−4)(2x2)   +    (−4)(2x)     +     (−4)(−1)

=      6x^3    +   6x^2    −   3x    −  8x^2   −   8x   +   4

Answer   =      6x^3    −   2x^2     −   11x   +   4

Hope that helps!!!!                                         : )

Final answer:

The product of (3x - 4) and (2x² + 2x - 1) is calculated by multiplying each term in the first polynomial by each term in the second and combining like terms, resulting in the final expression 6x³ - 2x² - 11x + 4.

Explanation:

The product of the polynomials (3x − 4) and (2x2 + 2x − 1) is obtained by applying the distributive property, otherwise known as FOIL (First, Outer, Inner, Last) method in this context. Each term in the first polynomial is multiplied by each term in the second polynomial and then the results are summed together. The step-by-step calculation is as follows:

Multiply the First terms: (3x) × (2x2) = 6x3.

Multiply the Outer terms: (3x) × (2x) = 6x2.

Multiply the Inner terms: (− 4) × (2x2) = − 8x2.

Multiply the Last terms: (− 4) × (− 1) = 4.

Once these calculations are done, we combine like terms:

6x3 (no like terms to combine here)

6x2 − 8x2 = -2x2

(3x) × (2x) = 6x2 (already accounted for in the previous step)

(3x) × (−1) = -3x

(− 4) × (2x) = − 8x

4 (no like terms to combine here)

So, adding all these up, we get:

6x3 − 2x2 − 3x − 8x + 4

Combining the x terms, we have:

− 3x − 8x = − 11x, so the final answer is:

6x3 − 2x2 − 11x + 4

the height of (my favorite animal if i might add) an adult male giraffe can grow up to 16-20 feet while the females grow up to 15 feet

Answer:

Statistical question.

Step-by-step explanation:

Given question

Is in, how tall are giraffes?

Statistical question is that type of question which have more than one possible answers. The answer of statistical question is the collection of various  points of data. The answer of statistical question depends on variety and situations. The answer of statistical question may be range . Answer of statistical question are more than one.

Non statistical question is that type of question which have only one answer.

For example, the value of 2+2

Answer: 2+2=4

It has only one answer .Therefore , it is non statistical question.

Given question is a statistical question because the height of all giraffes are not same . Height of some giraffes are same and some giraffes have same height. The height  of female giraffes are smaller than the height of male giraffes.

The range of  height of male giraffes lies between 16 feet to 20 feet.

Answer:

For step three she could multiply the two parenthesis against each other to get 3(x² - 10x + 25) - 2 + 4x

Step-by-step explanation:

step 1: 3(x - 5)² - 2 + 4x

step 2: 3(x - 5)(x - 5) - 2 + 4x

For step three she could multiply the two parenthesis against each other to get 3(x² - 10x + 25) - 2 + 4x

d. distribute the 3 to each term in the parentheses by multiplying.

First, simplify within parentheses: [tex]\(3(2x - 6 - x)^2 = 3(x - 6)^2\)[/tex]. Next, expand the exponent to get [tex]\(3x^2 - 36x + 108\)[/tex].

Sure, let's break down the steps:

Given expression:

[tex]\[ 3(2x - 6 - x)^2 - 24x \][/tex]

Step 1: Simplify within the parentheses.

[tex]\[ 3(2x - 6 - x)^2 = 3(x - 6)^2 \][/tex]

Step 2: Expand the exponent.

[tex]\[ 3(x - 6)^2 = 3(x^2 - 12x + 36) \][/tex]

[tex]\[ = 3x^2 - 36x + 108 \][/tex]

Now, combine this result with the given expression:

[tex]\[ 3x^2 - 36x + 108 - 24x \][/tex]

Step 3: Combine like terms.

[tex]\[ = 3x^2 - 60x + 108 \][/tex]

So, the simplified expression is:

[tex]\[ 3x^2 - 60x + 108 \][/tex]

The correct question is:

sharina simplified the expression 3(2x – 6 – x 1)^2 – 2 4x. in step 1 she simplified within the parentheses. in step 2 she expanded the exponent. which is a possible next step?

a. simplify the expression by adding and subtracting from left to right.

b. combine like terms within the parentheses.

c. combine all x-terms.

d. distribute the 3 to each term in the parentheses by multiplying.

100th customer is your answer

Find the first number that shows up on both answers when they are added

Add 20 each time for $5 gift card:

20, 40, 60, 80, 100

Add 50 each time for $10 gift card:

50, 100

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As seen above, the first number that shows up on both is 100, therefore, 100 is your answer

hope this helps

b represents rate of change

Answer:

rate of change

Step-by-step explanation:

with the distributive property of multiplication you can take ba+ca and rewrite it as a(b+c)=ab+ac=ba+ca

$1.25x + $10 + $15 (less than or equal to) $50

Answer:

So, with the reaming 25 dollars she can play at max 20 games.

Step-by-step explanation:

Given that

Amount Courtney has to spend = $ 50

Amount Spent on Admission = $ 10

Amount Spent on Snacks = $ 15

Price of a Game at Share = $ 1.25

Now, lets find the total amount spent by her already

Amount Spent = 50 - 10 - 15 = $ 25

Suppos x represent the number of games so, we can represent the remaining amount and in term of games that can be purchased by using it

[tex]1.25x\leq25[/tex]

the above inequality can be simplified as follows

[tex]x\leq\frac{25}{1.25}[/tex]

[tex]x\leq20[/tex]

So, with the reaming 25 dollars she can play at max 20 games.

Answer:

6

Step-by-step explanation:

The approximate distance in km between her house and her job is 9 km.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles

It is given that :

The distance on a map between a student’s house and her job is 6 cm.

also, on the same map, the distance between her house and her school is 8 cm.

The scale of the map = 8cm : 12km

Therefore, Distance between the house and the job = (12 x 6) / 8 = 9m

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the distance from home would not change while he was stopped, so it would be a flat line.  the two possibilities are  B and C  or D and E.  He stopped for a soda then played catch (which would also be a flat line since he would be the same distance from home) so it must be B and C

Choice A

Answer:

A

Step-by-step explanation:

because D and E is when he's playing catch and right after he went home.

y=-1x-6 is your answer

This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210

So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7

I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.

The prime factorization of 2x3x5x7 is simply 2x3x5x7 itself because these are all prime numbers. Prime numbers are numbers that have only two factors: 1 and the number itself. In addition, the product 2x3x5x7 equals to 210, so the prime factorization of 210 is also 2x3x5x7.

The prime factorization of a number is a product of the prime numbers that can multiply together to create the original number. In this case, the product 2x3x5x7 is already a multiplication of prime numbers. Hence, the prime factorization of 2x3x5x7 is simply 2x3x5x7.

Prime numbers are the numbers that have only two factors: 1 and the number itself. Examples of prime numbers are 2, 3, 5, and 7.

On the other hand, the product 2x3x5x7 equals to 210. So the prime factorization of 210 is also 2x3x5x7.

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