Please see attachment

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Answer: 120

Step-by-step explanation: 10 \(10\int\limits^a_b {x} \, dx 3\)

Answer:

what did percent or fraction did she give Kendall?

Step-by-step explanation:

The calculated volume of the solid figure is 421.08 cubic feet

From the question, we have the following parameters that can be used in our computation:

Base area = 38.28 square feet

Height = 11 feet

Using the above as a guide, we have the following:

Volume = Base area * Height

substitute the known values in the above equation, so, we have the following representation

Volume = 38.28  * 11

Evaluate

Volume = 421.08

Hence, the volume of the solid figure is 421.08 cubic feet

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Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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We have a right triangle with a missing side.

When we have two sides given sides on the right triangle and we need to find the missing side, we use the Pythagoras theorem:

The formula is given by:

Where:

a = Hypotenuse

b= Opposite side

c= Adjacent side

Now, we need to label the sides of the given triangle:

The largest side, represents the hypotenuse, in this case, a=15m.

The adjacent side is between the 90 degrees angle and the hypotenuse, in this case, c = 9m

Therefore, the missing side is the opposite side, let set b for this side:

Replacing these values:

Solve the equation for b:

Therefore, the missing side:

The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles

From the question, we are to determine the total distance travelled by Finley on Saturday and Sunday

From the given information,

On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library

Total distance travelled on Saturday = 3.35 miles + 2.51 miles

Total distance travelled on Saturday = 5.86 miles

Also,

On Sunday, Finley rode the bus 2.12 miles to the art museum

Total distance travelled on Sunday = 2.12 miles

∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles

Total distance travelled on Saturday and Sunday = 7.98 miles

Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.

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Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

Answer:

The watermelon.. I think

Step-by-step explanation:

Multiply 7.5 times 2.2 and you get 16.5, which is greater than 12. Please correct me if wrong on this because everybody makes mistakes.      

Answer:

B. Shape A can be matched to shape B by reflecting about the origin and then shifting –3 on the x-axis and 1 on the y-axis.

Step-by-step explanation:

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Area of a Triangle = A = ½ (b × h) square units

where b and h are the base and height of the triangle, respectively. Now, let's see how to calculate the area of a triangle using the given formula.

Define right triangle?

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The correct ratio of right angled triangle is \(\frac{c}{b} = \frac{b}{s}\)

There are a few unique varieties of right triangles, including the 45°-45° and the 30°-60° varieties.

Theorem: In a triangle, the angle across from the first side is a right angle if the square of one side equals the sum of the squares of the other two sides. To demonstrate: B=90° Proof: ABC has the formula \(AC^2 = AB^2 + BC^2\)

The right triangle. A triangle with one right angle, or 90°, is referred to as a right triangle. The longest side, which is the side opposite the right angle, is referred to as the hypotenuse. The remaining two sides are referred to as the right triangle's legs because they intersect to form the right angle.

The hypotenuse, along with the two legs, make up a right triangle. The hypotenuse, the longest side of the right triangle and the side opposite the right angle, is where the two legs of a right triangle come together at a 90° angle. \(AC^2 = AB^2 + BC^2\)

Given,

b/s = ratio of hypotenuse to height

c / b = ratio of hypotenuse to height

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Answer:

The answer is (2,7)

Step-by-step explanation:

Answer:

it a 26.64 units. hope it helps

y=55x is the expression for the amount of money obtained from the sale of x units of product.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

Let sale of x units of product.

y=55x

The expression for the amount of money received from sale of x units of product is y=55x.

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Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer:

We can use the formula for compound interest to find the future value (FV) of Natalie's investment:

FV = P * (1 + r/n)^(n*t)

Where:

P is the principal amount (the initial investment), which is $2,000 in this case

r is the annual interest rate as a decimal, which is 11% or 0.11

n is the number of times the interest is compounded per year, which is 12 since interest is compounded monthly

t is the number of years, which is 20

Substituting the values into the formula, we get:

FV =

2

,

000

∗

(

1

+

0.11

/

12

)

(

12

∗

20

)

�

�

=

2,000 * (1.00917)^240

FV = $18,255.74

Therefore, after 20 years of compounded monthly interest at a rate of 11%, Natalie's investment of 2,000 will be worth approximately 18,256.

Answer:

$17,870

Step-by-step explanation:

You must use the formula for compound interest.

A = P(1 + r/n)^nt

I suggest you look it up at some point so that you can do these more easily in the future!

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

A ITS A

because 9*9*9 and it divides by 2

Answer:

I think it's B.

Step-by-step explanation:

Answer:

a) Null hypothesis:\(\mu \leq 120\)  

Alternative hypothesis:\(\mu > 120\)  

b) \(t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236\)  

The degrees of freedom are given by:

\( df = n-1 = 80-1=79\)

The p value for this case taking in count the alternative hypothesis would be:

\(p_v =P(t_{79}>2.236)=0.0141\)  

Step-by-step explanation:

Information given

\(\bar X=130\) represent the sample mean for the amount spent each shopper

\(s=40\) represent the sample standard deviation

\(n=80\) sample size  

\(\mu_o =120\) represent the value to verify

t would represent the statistic    

\(p_v\) represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 120\)  

Alternative hypothesis:\(\mu > 120\)  

The statistic for this case would be given by:

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)  

Replacing the info given we got:

\(t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236\)  

The degrees of freedom are given by:

\( df = n-1 = 80-1=79\)

The p value for this case taking in count the alternative hypothesis would be:

\(p_v =P(t_{79}>2.236)=0.0141\)  

Large Tractors Sold at Break Even Point= 26 units

Small Tractors Sold at Break Even Point= 39 units

Break-even point is where sales are equivalent to the sum of all costs incurred by the company. It is a significant concept in accounting as it gives the managers vital information on how many units must be sold to make business operations profitable.

From the question, it was stated that Wagner Enterprises sells for every three small tractors, two large tractors. Therefore, the sales mix will be:

The contribution margin per unit will be computed first, after which we multiply the sales mix by the computed margin per unit to get the Weighted Average Contribution Margin (WACM). This is shown below:

For Large Tractor:

Selling Price per Unit = $62,000

Variable Cost per Unit = $28,520

Contribution Margin per Unit = ($62,000 - $28,520) = #33,480

Multiply by sales-mix of 2/5 = 2/5 times $33,480 = 13,392 (WACM)

For Small Tractor:

Selling Price per Unit = $34,000

Variable Cost per Unit = $16,320

Contribution Margin per Unit = ($34,000 - $16,320) = #17,680

Multiply by sales-mix of 3/5 = 3/5 times $17,680 = 10,608 (WACM)

The Total Weighted Average Contribution Margin per unit is therefore:

$13,392 + $10608, equaling $24,000.

Now we can find the Break-even Point in Unit.

Formula for Break-even Point in Unit = Total Fixed Cost (TFC) divided by Weighted Average Contribution Margin in unit

Total Fixed Costs = $1,560,000

WACM in unit = $24,000

Break-Even Point = \(\frac{1,560,000}{24,000}\) = 65 units

From the calculations, the total units that must be sold to break-even are equivalent to 65 units. Given the above sales mix, the 65 units will be shared thus:

Therefore, 26 units of Large Tractors and 39 units of Small Tractors were sold at Wagner's Enterprise break-even point.

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Answer:

D

Step-by-step explanation:

x squared add up to 9x^2 and 5-5=0 so it has to be D

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

The cost of plastering the rectangle walls at rate of Rs.15/\(m^2\) is Rs.5565.

What is rectangle?

  With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object. A rectangle's opposing sides are equal and parallel. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The opposite sides of a quadrilateral are equal and parallel, and all the angles are equal. Around us, there are several rectangle-shaped items. Two dimensions, the length and breadth, define each rectangle shape. The width and length of a rectangle are its longer and shorter sides, respectively.

Given,

Length of room =12m

Breadth of room =10m

Height of room =6m

So, Area of four walls =2(l+b)×h

=>area of four wall=2(12+10)×6=264\(m^2\)

Now Area of 2 doors and 3 windows =(2×1×2+3×2×1.5)

=> area of 2 doors and 3 windows = 13\(m^2\)

Area of ceiling =l×b=12×10=120 \(m^2\)

Thus, total area for plastering =(264−13+120)= 371\(m^2\)

Hence, the cost of whitewashing =Rs.(371×15)=Rs.5565.

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Answer:

it would take him 1.5 hours (an hour and 30min.)

Step-by-step explanation:

120 divided by 8 = 15

15 divided by 10 = 1.5

The number of hours he would need to complete this job is 2.5 hours.

"PEDMAS is an order of operation used in mathematics to deal easily with complex calculations. It states that we start solving any arithmetic expression by solving the terms written in parentheses or brackets and then we simplify exponential terms and move ahead to division and multiplication operations and then, at last, we can find the answer by solving addition and subtraction operations."

According to the question

A construction worker needs to move 120 feet squared (3) of dirt by using a wheelbarrow.

One wheelbarrow load holds 8 feet squared(3) of dirt and each load takes him 10 minutes to complete.

Writing the above statement in mathematical form

= (120 ÷ 8) × 10

By using PEDMAS rule, we get

= 15 × 10

= 150 mins

= 150 ÷ 60

= 2.5 hours

Thus, the number of hours he would need to complete this job is 2.5 hours.

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

AC= 13 and DE= 24

Step-by-step explanation:

use tge pythegorous theorum

for AC

a^2+b^2=c^2

(5x5) +(12x12)=c

25+144=169

√169 =13

DE

use the same approach

a^2+b^3=c^2

a2 +10^2=26^2

a^2+100= 676

676- 100= 576

√576= 26

hope it helps