sarah has already knit 17 centimeters of a scarf, and canknit 1 centimeter each night. How many nights will sarah have to spend knitting in order to knit a total of 34 centimeters of scarf?

Answer:

Length= 12  ft

Width= 25 ft

Step-by-step explanation:

We will use the area of the rectangle formula to solve this question. The formula is: [tex]Area= length* width[/tex]

Let, the width of the rectangle is x, so the length is one foot more than twice it’s width, and is written as:  

width= 2x+1

Now the area of the rectangle is given as:

300 [tex]ft^2[/tex]

So using the formula of the area of a rectangle, we get:

[tex]Area= length* width\\\Rightarrow 300= x(2x+1)\\\Rightarrow 2x^2+x-300=0\\\Rightarrow x=\frac{-1 \pm \sqrt{1^2-4 \cdot \:2\left(-300\right)}}{2\cdot \:2}\\\Rightarrow x=12,\:x=-\frac{25}{2}\\[/tex]

But we will take only positive value of x, as length can't be negative.

So the dimensions of the rectangle are:

Length= 12  ft

Width= 25 ft

To solve for the dimensions of the rectangle with an area of 300 square feet and a length one foot more than twice its width, you begin with the formula for the area of a rectangle. After setting up the quadratic equation, solving it yields a width of 10 feet and a length of 21 feet, making the dimensions 10 feet by 21 feet.

To find the dimensions of a rectangle where the length is one foot more than twice its width, and the area is 300 square feet, you set up two equations based on the given information.

Let the width be w feet. Then, the length l would be 2w + 1 feet. The area A of a rectangle is given by the formula A = w × l. Substituting the known area and the expression for l, we have 300 = w × (2w + 1).

To solve for w, we should solve the quadratic equation w^2 + w - 150 = 0. Factoring the quadratic, we get (w - 10)(w + 15) = 0. This gives us two possible solutions for the width: w = 10 or w = -15. Since a negative width doesn't make sense in this context, we use w = 10 feet. The length is thus 2 × 10 + 1 = 21 feet.

Therefore, the dimensions of the rectangle are 10 feet by 21 feet.

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Perimeter of the new triangle is 1505 ft

Step-by-step explanation:

Perimeter of the triangle = sum of the sides = a + b + c = 215

Each side is multiplied by 7, so new sides are 7a, 7b, 7c

⇒ New perimeter = 7a + 7b + 7c = 7(a + b + c) = 7 × 215 = 1505 ft

Answer:

20/13

Step-by-step explanation:

(12/13)/(3/5)=

(12/13)(5/3)=

20/13

Answer:

Step-by-step explanation:

L=®/3602πr

L=20/360×2×3.14×3

L=1.04

Answer:

[tex](5 x+ 3)(x + 4)[/tex]

Step-by-step explanation:

We want to factor

[tex]5 {x}^{2} + 23x + 12[/tex]

By comparing to

[tex]a {x}^{2} + bx + c[/tex]

We have a=5, b=23, c=12

ac=60

We split the middle term with 3x+20x, since 3×20=60

This implies that:

[tex]5 {x}^{2} + 3x + 20x + 12[/tex]

Factor by grouping;

[tex]x(5 x+ 3)+ 4(5x + 3)[/tex]

We collect common factors again;

[tex](5 x+ 3)(x + 4)[/tex]

Answer:

8 miles, decrease, at 0 miles

Step-by-step explanation:

1). At 0 minutes height of the graph will be 8 miles.

2). Then the graph will decrease until 15 minutes , when Bonita reaches the library.

3). At 15 minutes, the height of graph will be 0 miles.

Answer: 3.

Basically, whaat I did was just look at the question, 20 - 8 would be 12. 12 divided by 4 would be 3.

Answer:

$3

Step-by-step explanation:

Equation: 20≥4x+8

20≥4x+8

First Subtract 8 on both sides.

20-8≥4x+8-8

12≥4x

Divide the 4.

3≥x

Answer:

  yes

Step-by-step explanation:

The ratio between the present value and the future value will be the same for any present or future date, provided that the discount/interest rate is the same in each case.

Alternative cash flows projected to the same date will have the same ratio, regardless of the chosen date — again, provided that the discount/interest rate is the same in each case.

Answer: -7c - 10d - 34

Step-by-step explanation:

5c – 9d + d + 7 – 12c - 41

Combine like terms

5c - 12c -9d + d -41 + 7

= -7c - 10d - 34

I hope this helps.

The total coverage does the baby monitor provides is 7854 square meters and this can be determined by using the formula of the area of a circle.

Given :

A baby monitor picks up signals within a 50-meter radius.

The following steps can be used in order to determine the total square meters of coverage does the baby monitor provide:

Step 1 - The formula of the area of the circle can be used in order to determine the total square meters of coverage does the baby monitor provides.

Step 2 - The formula of the area of the circle is given below:

[tex]\rm Area = \pi r^2[/tex]

where r is the radius of the circle.

Step 3 - Now, substitute the value of the radius in the above expression.

[tex]\rm Area = \pi \times (50)^2[/tex]

Step 4 - Simplify the above expression in order to determine the total square meters of coverage does the baby monitor provides.

Area = 7854 square meters

For more information, refer to the link given below:

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The baby monitor provides coverage of 7854 square meters.

A baby monitor picks up signals within a 50 meter radius. To determine the coverage area, you need to find the area of a circle with this radius.

Use the formula for the area of a circle, A = πr², where r is the radius:

Therefore, the baby monitor provides coverage of approximately 7854 square meters.

Answer: 1/2 foot longer

Step-by-step explanation:

This is subtracting fractions.

Subtract 4 3/4 from 5 1/4. The difference of those fractions is the answer.

so the right ans is of option C

Answer:

2km = 8 minutes (480seconds) as 0.1km = 24seconds 1km =240 seconds.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

This questions tests for the fundamentals of counting.

Let's say event [tex]x_i[/tex] can be done in X ways and event [tex]y_i[/tex] can be done in Y ways, therefore the total number of ways [tex]x_i[/tex] and [tex]y_i[/tex] can be done is given as [tex]xy[/tex].

Applying this counting principle in our case, the total different sandwiches is obtained as the product of the individual sandwich types.

[tex]Total=s\times m\times b\\=3\times 4 \times 3\\=36[/tex]

36 different sandwiches can be made.

Answer:

-c +2

Step-by-step explanation:

-1(c-2)

Distribute

-1*c -1*(-2)

-c +2

Answer:

20+4+0.02

Step-by-step explanation:

The height of a puffin in expanded form is [tex]\(2 \times 10^1 + 4 \times 10^0 + 0 \times 10^{-1} + 2 \times 10^{-2}\) cm[/tex].

To write the height of a puffin, which is 24.02 cm, in expanded form, we need to express each digit as a product of the digit and its corresponding power of 10. Starting with the leftmost digit:

- The first digit is 2, and it is in the tens place, so it is [tex]\(2 \times 10^1\)[/tex].

- The second digit is 4, and it is in the ones place, so it is [tex]\(4 \times 10^0\)[/tex] (since any number to the power of 0 is 1).

- The third digit is 0, and it is in the tenths place, so it is [tex]\(0 \times 10^{-1}\)[/tex]. Since it is multiplied by 0, this term contributes nothing to the total and can be omitted.

- The fourth digit is 2, and it is in the hundredths place, so it is [tex]\(2 \times 10^{-2}\)[/tex].

Putting it all together, we get the expanded form as:

[tex]\(2 \times 10^1 + 4 \times 10^0 + 0 \times 10^{-1} + 2 \times 10^{-2}\) cm.[/tex]

1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

Step-by-step explanation:

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

1) To find the volume of the beach ball :

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

To find the radius :

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The given equation is [tex]4^{x} = 64[/tex]

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

Final answer:

The volume of the beach ball when fully inflated is approximately 48,000 cubic centimeters. To find the exponent x that makes the equation 4^x=64 true, we see that x must equal 3, since 64 is 4 cubed.

Explanation:

To calculate the volume of an inflatable beach ball with a circumference of 141.3 centimeters, we first need to determine its radius. The formula connecting circumference (C) and radius (r) of a sphere is C = 2πr. Using 3.14 for π, we can rearrange to find r: r = C / (2π).

r = 141.3 cm / (2 × 3.14)
  = 141.3 cm / 6.28
  = 22.5 cm (approximately)

Now, we can use the formula for volume of a sphere which is V = (4/3)πr³. Plugging in the value of the radius, we get:

V = (4/3)× 3.14 × (22.5)³
   = (4/3)× 3.14 × (11,390.625 cm³)
   = 48,000 cm³ (approximately)

The volume of the beach ball is approximately 48,000 cubic centimeters when fully inflated, rounding to the nearest whole number.

For the second part of the question, we want to find the exponent x that equates 4 raised to the power x to 64. Since 64 is 4 cubed (or 4³), we can easily see that x = 3 to make the equation 4³=64 true.

Answer:

103.62

Step-by-step explanation:

If I am understanding this question correctly you want the answer for how much the total would be for a 38% markup at a starter price of 75.09.

In which case it would be 103.62.

It is a 28.53 increase.

7. 1,817

6 × 6 × 52

8. 456,976,000

26 × 26 × 26 × 26 × 10 × 10 × 10

9a. 25%

50% × 50%

9b. 4%

20% × 20%

9c. 10%

50% × 20%

9d. 2.5%

5% × 50%

10. 12/216 ~ 5.556%

1/6 × 3/6 × 4/6

11. 3.125%

50% × 50% × 50% × 50% × 50%

12. 15/144 ~ 10.417%

3/12 × 5/12

13. 56.25%

93.75% × 60%

14a. 45/600 = 7.5%

9/25 × 5/24

14b. 30/600 = 5%

6/25 × 5/24

Answer:

624 cm^2

Step-by-step explanation:

Base: 13 × 13 = 169

Rectangular Sides: 12 × 13 = 156 (×2 = 312)

Triangular Sides: 11 × 13 = 143

Add: 169 + 312 + 143 = 624

Answer:

-4, -2 and 4

Step-by-step explanation:

Consider x represents the input value,

Given,

In the piece-wise function,

The first line has a closed circle at (-2, negative 2) and then goes up through (-4, 2) with an arrow instead of an endpoint.

Thus, -4 ≤ x ≤ -2.

The second line has an open circle at (2, 1) and then goes up through (5, 4) with an arrow instead of an endpoint.

Thus, 2 < x ≤ 5.

Since domain of a function is all possible input values,

Therefore, domain = [-4,-2]∪(2,5]

-6 ∉ [-4,-2]∪(2,5]

-4 ∈ [-4,-2]∪(2,5]

-2 ∈ [-4,-2]∪(2,5]

0 ∉ [-4,-2]∪(2,5]

2 ∉ [-4,-2]∪(2,5]

4 ∈ [-4,-2]∪(2,5]

Hence, -4, -2 and 4 are within the domain of the function.

Answer:

The person who ask this question is right its ABCF

Step-by-step explanation:

Answer:

$215.73

Step-by-step explanation:

take $7.99 and multiply it by 27 to get $215.73

Answer:

42

Step-by-step explanation:

                                 ~~~~~~Hello There~~~~~~

1. Since 7d is our expression, and d = 6, that means we have to multiply.

2. The product of 7 and 6 is 42, meaning 42 is our answer.

3. Our final answer is 42.

Hope this helped!

~ delightedsunrise8

Answer:

There were 6 onion rings and 2 slider in the combination meal.

Step-by-step explanation:

Let x be the number of onion rings and y be the number of slider.

Calories in one onion ring = 45 calories

Calories in one slider = 325 calories

Total number of calories = 920

Thus, we can write the equation:

[tex]45x + 325y = 920[/tex]

There are 3 times as many onion rings as the sliders.

Thus, we can write the equation:

[tex]x = 3y[/tex]

Solving the two equation by substitution method, we get,

[tex]45(3y) + 325y = 920\\460y = 920\\y = 2\\x = 3y = 3(2) = 6[/tex]

Thus, there were 6 onion rings and 2 slider in the combination meal.

The system of equations that can be used to determine the required values is:

45x + 325y = 920 equation 1

3x = y equation 2

Where:

x = total number of onions

y = total number of sliders

In order to determine the number of onions and sliders in the combination meal, equation 1 and 2 have to be solved together in order to determine the required values. This is known as solving equations simultaneously. They can be solved using two methods:

To learn more about simultaneous equations, please check: brainly.com/question/23589883

Step-by-step explanation:

Let the measure of required angle be x degree

[tex] \therefore \tan \: x = \frac{33}{56} \\ \\ \therefore \tan \: x = 0.589285714 \\ \\ \therefore \: x = {\tan}^{ - 1} (0.589285714) \\ \\ \therefore \: x = {\tan}^{ - 1} ( \tan \: 30.510237394 \degree) \\ \\ \huge \red{ \boxed{\therefore \: x = 31\degree}}[/tex]

Thus, first option is the correct answer.

Answer:

8a -4b

Step-by-step explanation:

3a+2b+5a-6b

Combine like terms

3a+5a = 8a

2b-6b = -4b

Add them back together

8a -4b

Answer:

[tex]8a - 4b[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]3a + 2b + 5a - 6b[/tex]

[tex](3a + 5a) + (2b - 6b)[/tex]

[tex]8a - 4b[/tex]

Answer:  [tex]8a - 4b[/tex]

Answer:

9675770

Step-by-step explanation:

Hope this helps