Use the distributive property to write an expression
that is equivalent to 45 + 30x.

Final answer:

The total distance from the beginning of the first house's lawn to the end of the third house's lawn is 1050 feet. This calculation is done by adding the length of the first house's lawn (300 feet), the second house's (250 feet), and double the second's lawn for the third house's (500 feet).

Explanation:

To calculate the total length of the lawns from the first to the third house, we first determine the length of each lawn individually and then add them together:

The first house has a lawn that is 300 feet long.

The second house has a lawn that is 50 feet shorter than the first lawn, so it is 300 - 50 = 250 feet long.

The third house has a lawn that is twice the length of the second house's lawn, so it is 2 × 250 = 500 feet long.

Add the lengths of the three lawns together to find the total distance from the beginning of the first house's lawn to the end of the third house's lawn:

300 feet + 250 feet + 500 feet = 1050 feet

Therefore, it is 1050 feet from the beginning of the first house's lawn to the end of the third house's lawn.

Answer: x^2-9x+20

Step-by-step explanation:

Answer:

x² - 9x + 20

Step-by-step explanation:

Given

(x - 5)(x - 4)

Each term in the second factor is multiplied by each factor in the first factor, that is

x(x - 4) - 5(x - 4 ) ← distribute both parenthesis

= x² - 4x - 5x + 20 ← collect like terms

= x² - 9x + 20

Answer:

Step-by-step explanation:

Answer:

1) A

2) B

Step-by-step explanation:

1)   Zoe payed a total of $77.49

$4.99 shipping fee + 14.50(n) scarves = $77.49

4.99 + 14.50n = 77.49

A

2)  

2 electrons, each have a (-1) charge

2 protons, each have a (+1) charge

-1 - 1 + 1 + 1

-2 + 2

0

B

Hope this helps :)

The adult weight of puppy B is estimated to be around 11 pounds, as we learned by understanding percentages and using a mathematical formula to determine the total from a known percentage.

The subject is Mathematics and it involves a commonly used concept known as ratios and percentages. From the question, we know that puppy B weighs 8 pounds which is about 75% of its adult weight. This means that the adult weight will be greater than 8 pounds.

To find the adult weight, we know that the puppy's current weight represents 75% of it. So, we use the formula to find the total when we know the percentage:

Therefore, we can estimate that the adult weight of puppy B will be around about 11 pounds.

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The adult weight of Puppy B will be approximately 10.67 pounds.

To find the adult weight of Puppy B, we can set up a simple proportion based on the given information that 8 pounds is 75% of its adult weight. Let's denote the adult weight as A .

We can express the relationship as:

[tex]\[ 8 \text{ pounds} = \frac{75}{100} \times A \][/tex]

To solve for [tex]\( A \)[/tex], we can multiply both sides of the equation by [tex]\( \frac{100}{75} \)[/tex] to isolate [tex]\( A \)[/tex]:

[tex]\[ A = 8 \text{ pounds} \times \frac{100}{75} \][/tex]

Now, we calculate the value of  A:

[tex]\[ A = 8 \times \frac{4}{3} \][/tex]

[tex]\[ A = \frac{32}{3} \][/tex]

[tex]\[ A \approx 10.67 \text{ pounds} \][/tex]

Therefore, the adult weight of Puppy B is approximately 10.67 pounds.

Answer: the answer is 6

Step-by-step explanation:

The value of x is 6.

Two triangles are comparable if the measurements of their corresponding sides are proportionate. The same is true if the lengths of two sides in one triangle are proportional to the lengths of the corresponding sides in another triangle and the included angles are congruent.

Given:

As, the rectangles in the figure below are similar.

Using the property of similarity

x/(x+ 4) = 3/5

5x = 3x + 12

5x - 3x = 12

2x = 12

Divide both side by 2

2x /2 = 12/2

x = 6

Hence, the value of x is 6.

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Answer:

x+3

Step-by-step explanation:

Since the number of cookies in the jar could be anything we'll use a variable to represent it, x.  so three more than x is what?

Well, what's thee more than 5? 8, so you add 3.

So x+3

Answer:

Option 4 - The solution of x is [tex]x=4\pm5i[/tex].

Step-by-step explanation:

Given : Equation [tex]x^2-8x+41=0[/tex]

To find : Solve for x in the equation ?

Solution :

Solving a quadratic equation [tex]ax^2+bx+c=0[/tex] solution is given by, [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Here, a=1, b=-8 and c=41

[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4(1)(41)}}{2(1)}[/tex]

[tex]x=\frac{8\pm\sqrt{-100}}{2}[/tex]

[tex]x=\frac{8\pm10i}{2}[/tex]

[tex]x=4\pm5i[/tex]

Therefore, the solution of x is [tex]x=4\pm5i[/tex].

Answer:

D

Step-by-step explanation:

trust meh

Answer:

[tex]\large \boxed{\$35.80}[/tex]  

Step-by-step explanation:

Discount = Regular price × % discount

[tex]\text{Discount} = \text{\$179 regular price} \times \dfrac{\text{\$20 }}{\text{\$100 regular price}} = \textbf{\$35.80}\\\text{Selma will save $\large \boxed{\mathbf{\$35.80}}$}[/tex]

Selma will save $35.8 after getting 20% discount on regular price.

" Discount is the deduction amount from the regular price assigned to any product."

Formula used

Discount = Regular Price × discount %

According to the questions,

Regular price = $179

Discount% = 20%

Substitute the value in the formula we get,

Discount = 179 × 20%

               = 179 × (20 / 100)

              = $ 35.8

Hence, Selma will save $35.8 after getting 20% discount on regular price.

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Answer:

The rate at which energy is used is called power.

Step-by-step explanation:

Answer:

Power is the answer

Step-by-step explanation:

Answer:

  A. just as it leaves the bat

Step-by-step explanation:

It depends on the assumptions you make.

If you assume that the speed is reduced by air resistance, and that the hit is a fly ball, then the speed begins to slow as soon as the ball leaves the bat. Its maximum speed will be just as it leaves the bat.

__

If you assume no air resistance and that the ball takes 1 second to reach the ground, the speed will be a maximum just as the ball hits the ground, a second after it leaves the bat.

__

If you assume no air resistance and that the ball takes 2 seconds to reach the ground, the speed will be a maximum just as the ball hits the ground, two seconds after it leaves the bat.

__

Depending on the nature of the pitch and the hit (and the assumptions you make about energy loss and gain), the maximum speed may be as the ball leaves the pitcher's hand, or just as the ball hits the bat.

__

My guess is that the assumptions listed for the first case are the ones you're most likely expected to use. The answer above reflects that choice.

Answer:

15 words

Step-by-step explanation:

i looked it up online

Answer:

[tex]\frac{13}{6}[/tex] or [tex]2\frac{1}{6}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:3/2 x 3= 9/6

2/3 x 2= 4/6

9/6 + 4/6 = 13/6

13/6=2 1/6

Answer 22,16,18,36

Step-by-step explanation:

Second data set 22, 16, 18, 36 is the most spread from its mean

" Mean is defined as the ratio of the sum of the all the numbers of data set to the total numbers of number present in data set."

Formula used

Mean = [tex]\frac{Sum of all the numbers in data set}{Total number of numbers}[/tex]

According to the question,

Given data set,

Mean of first data set,

Substitute the values in the formula we get,

Mean = [tex]\frac{14 +26 + 24 + 28}{4}[/tex]

          [tex]=\frac{92}{4}\\ =23[/tex]

Mean of second data set,

Substitute the values in the formula we get,

Mean = [tex]\frac{22 +16 + 18 + 36}{4}[/tex]

          [tex]=\frac{92}{4}\\ =23[/tex]

Mean of third data set,

Substitute the values in the formula we get,

Mean = [tex]\frac{22 +28 + 20 + 22}{4}[/tex]

          [tex]=\frac{92}{4}\\ =23[/tex]

Mean of fourth data set,

Substitute the values in the formula we get,

Mean = [tex]\frac{21 +19 + 27+ 25}{4}[/tex]

          [tex]=\frac{92}{4}\\ =23[/tex]

Hence, second data set 22, 16, 18, 36 is the most spread from its mean.

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Question:

Solve the inequality:

5.1 – r ≥ 5

Answer:

r ≤ 0.1

Solution:

Step 1: Given inequality:

5.1 – r ≥ 5

Step 2: Subtract 5.1 from both sides of the inequality

⇒ 5.1 – r – 5.1 ≥ 5 – 5.1

⇒ – r ≥ – 0.1

Step 3: To reverse the inequality, multiply both sides by –1.

⇒ (–r) × (–1) ≥ – 0.1 × (–1)

Negative × Negative = Positive

⇒ r ≤ 0.1

Hence the solution to the given inequality is r ≤ 0.1.

Answer:

C

Step-by-step explanation:

Note that (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 4x + 1 + x² - 5 ← collect like terms

= x² + 4x - 4 → C

Part a: Option c: [tex]3x+90+x-14=180[/tex]

Part b: The value of x is 26

Explanation:

Part a:

Option a: [tex]3x+x-14=180[/tex]

Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.

Thus, the equation [tex]3x+x-14=180[/tex] cannot be used to determine the value of x.

Hence, Option a is not the correct answer.

Option b: [tex]3x+90+x-14=90[/tex]

Adding all the angles in the straight line results in 180°.

Thus, adding all the angles does not equals to 90°

Hence, the equation [tex]3x+90+x-14=90[/tex] cannot be used to determine the value of x.

Hence, option b is not the correct answer.

Option c: [tex]3x+90+x-14=180[/tex]

Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°

Thus, the angles in this straight line are 3x, 90° and x-14.

Hence, adding these angles will result in 180°

Thus, the equation becomes

[tex]3x+90+x-14=180[/tex]

Hence, the equation used to determine the value of x is [tex]3x+90+x-14=180[/tex]

Thus, Option c is the correct answer.

Option d: [tex]4x+90=360[/tex]

Adding all the angles in the straight line results in 180°.

Since, not all the three angles were added in this equation and the equation equals to 180°

Hence,  the equation [tex]4x+90=360[/tex] cannot be used to determine the value of x.

Thus, Option d is not the correct answer.

Part b:

To determine the value of x, we shall add all the angles of the equation [tex]3x+90+x-14=180[/tex]

Thus, we get,

[tex]4x+76=180[/tex]

Subtracting both sides by 76,

[tex]4x=104[/tex]

Dividing both sides by 4, we get,

[tex]x=26[/tex]

Thus, the value of x is 26.

Answer:

18.9 units to 1 decimal Place

Step-by-step explanation:

You need the diameter so do 3 X 2 = 6

Circumference is pi X diameter so

Do 6 X pi = 6pi or 18.9 to 1 dp

Answer:

Therefore the cost of each apple is $ 0.50 and each banana is $1.

Step-by-step explanation:

Given , Amanda buys 6 apples and 5 bananas , it will cost $8.00 and if she buys 5 apples and 7 bananas it will cost $9.50.

Let the cost of one apple be =$ x

and the cost of one banana be =$y

According to the problem,

6x+5y=8.........(1)                  5x+7y= 9.50............(2)

Equation (1)×5 - equation (2) × 6

30x +25 y-(30x+42y)= 40-57

⇔30x+25y -30x-42y= -17

⇔-17y =-17

⇔y=1

putting the value of y in equation (1)

6x+5×1=8

⇔6x = 8-5

⇔6x=3

⇔[tex]x =\frac{3}{6}[/tex]

⇔x = 0.50

Therefore the cost of each apple is $ 0.50 and each banana is $1.

Answer:

200

Step-by-step explanation:

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Step-by-step explanation:

Given,

Weight of fido's dog = 35 pounds

Time period = 6 months

Goal weight to reach = 28 or less pounds

Let,

m be the weight to be lose each month.

Weight of dog - Time period * Weight to lose each month ≤ Goal weight

[tex]35-6m\leq 28\\-6m\leq 28-35\\-6m\leq -7[/tex]

Dividing both sides by -6

[tex]\frac{-6m}{-6}\leq \frac{-7}{-6}\\\\m\leq 1.17[/tex]

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Keywords: division, subtraction

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Answer:

$8.48

Step-by-step explanation:

$8.00 x .06%= $ .48  ---$8.00 + $ .48=$8.48

Answer:

$8.48

Step-by-step explanation:$8.00 x .06%= $ .48  ---$8.00 + $ .48=$8.48

Final answer:

By dividing the total hours of bike use (8 hours) by the total cost ($42), you find that a customer gets approximately 0.19 hours of bike use per dollar when renting a bike at Keller's Bike Rentals, rounded to the nearest hundredth.

Explanation:

To determine how many hours of bike use a customer gets per dollar at Keller's Bike Rentals, we need to perform a simple division calculation using the information provided. The total cost of renting a bike for 8 hours is $42.

Dividing the total hours of bike use by the total cost gives us the hours of bike use per dollar:

Hours per dollar = Total hours of bike use / Total cost

Hours per dollar = 8 hours / $42

Now, we perform the division:

Hours per dollar = 0.19047619...

When rounded to the nearest hundredth, this is approximately 0.19 hours per dollar.

Answer:

false

Step-by-step explanation:

Step :1

Given x- 2 y =5 .......(1)

put x=1 and y= -3 on left hand side of given equation

1 - 2 (-3) = 5

1 + 6 = 5

7 ≠ 5

both sides are not equal

so it is false

Answer:

false

Step-by-step explanation:

x - 2y = 5

when x = 1, and y = -3

1 -2(-3) = 5

1 +  6 = 5

7 ≠ 5

Answer:

3.13 * 10^-1

Step-by-step explanation:

Answer:

2, there'd be more, but natural numbers are like, whole numbers, integers basically except they're like non-negative integers. Enough ranting. So 4 and 8 would be the numbers because they are mulitplied by 4,1, and 2.

Since 4 cant go into 10 completely without a decimal, there'd only be 2 multiples.

Confusing explanation, but i think my answer is correct. (or is it, dun dun dun!)

Have a good day~

Answer:

D, 28, 45, 53

Step-by-step explanation:

A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. ... The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.

Answer:

148/15 or 9 13/15

Step-by-step explanation:

7 2/3 + 2 1/5

7 2/3 needs to be translated into a bigger fraction by taking 7 and multiplying it with the denominator and then adding onto the numerator.

7 2/3 = 23/3

The same goes for 2 1/5.

2 1/5 = 11/5

Now we have 23/3+11/5 so we need to find a common denominator which would be fifteen.

23/3 + 11/5

23/3 x 5/5 = 115/15

11/5 x 3/3 = 33/15

115/15 + 33/15 = 148/15

The value of 7 2/3 + 2 1/5 is 9 13/15

The lowest common multiple of 3 and 5 is 15. Therefore, 7 2/3 + 2 1/5 will be calculated thus:

= 7 2/3 + 2 1/5

= [7 + 2/3× 15] + [2 1/5 × 15]

= 7 10/15 + 2 3/15

= 9 13/15

In conclusion, the value of the fraction 7 2/3 + 2 1/5 is 9 13/15

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Answer:

the system would have crossed one solution