A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $13. A second mixture included 16 lb of the cinnamon tea and 8 lb of the spice tea. The 24-pound mixture cost $28. Find the cost per pound of the cinnamon tea and of the spice tea.

Answer:

x=14

Step-by-step explanation:

4x +15 =71

4x =71 - 15

4x =56

x=56 :4

x=14

4 ×14 +15 =71

56 +15 =71

71 =71

Answer: X=14

Step-by-step explanation: Plug 14 in for x. 4*14 equals 56. 56+15 equals 71. and 71=71.

Answer: B

Step-by-step explanation:

Answer:

option B, square root of 13

Step-by-step explanation:

i took the quiz on edge and got it right. :,)

Answer:

134,000x 0.08= 10,720= the money you get every year from interest

1,000,000/10,720= 93.28... or 93 years

Step-by-step explanation:

Answer:

C. 12x + 40

Step-by-step explanation:

Got 100% on edge.

Answer:

c

Step-by-step explanation:

did the quiz 2021

Answer: 2.3 repeating

Please mark me as Brainliest

Answer:

3840

Step-by-step explanation:

Hope this helps you out

Answer:

80 percent because the study was 100 she missed the 20 percent which was mixed because you can't change the psrcent

Step-by-step explanation:

and so if you have 100 percent right take the 20 away its 8 0percent because the 40 per entvdivided it up

Answer:

Your answer is absolutely correct

Step-by-step explanation:

The work would be as follows:

[tex]\int _0^{\sqrt{\pi }}4x^3\cos \left(x^2\right)dx,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=> 4\cdot \int _0^{\sqrt{\pi }}x^3\cos \left(x^2\right)dx\\\\\mathrm{Apply\:u-substitution:}\:u=x^2\\=> 4\cdot \int _0^{\pi }\frac{u\cos \left(u\right)}{2}du\\\\\mathrm{Apply\:Integration\:By\:Parts:}\:u=u,\:v'=\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\int \sin \left(u\right)du\right]^{\pi }_0\\\\[/tex]

[tex]\int \sin \left(u\right)du=-\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0\\\\\mathrm{Simplify\:}4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0:\quad 2\left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0\\\\\mathrm{Compute\:the\:boundaries}:\quad \left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0=-2\\=> 2(-2) = - 4[/tex]

Hence proved that your solution is accurate.

Answer:

[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx=-4[/tex]

Step-by-step explanation:

So we have the integral:

[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx[/tex]

As told, let's use u-substitution first and then use integration by parts.

For the u-substitution, we can let u to be equal to x². So:

[tex]u=x^2[/tex]

Differentiate:

[tex]du=2x\, dx[/tex]

We can rewrite our integral as:

[tex]\int\limits^{\sqrt{\pi}}_0 {2x(2x^2)\cos(x^2)} \, dx[/tex]

Therefore, by making our u-substitution, our integral is now:

[tex]\int\limits {2u\cos(u)} \, du[/tex]

We also need to change our bounds. Substitute them into u. So:

[tex]u=\sqrt{\pi}^2=\pi\\u=(0)^2=0[/tex]

Therefore, our integral with our new bounds is:

[tex]\int\limits^{\pi}_{0} {2u\cos(u)} \, du[/tex]

Now, let's use integration by parts. Integration by parts is given by:

[tex]\int\limits {v}\, dy=vy-\int y\, dv[/tex]

(I changed the standard u to y because we are already using u).

Let's let v be 2u and let's let dy be cos(u). Thus:

[tex]v=2u\\dv=2\,du[/tex]

And:

[tex]dy=\cos(u)\\y=\sin(u)[/tex]

So, do integration by parts:

[tex]=2u\sin(u)-\int \sin(u)2\,du[/tex]

Simplify:

[tex]=2u\sin(u)-2\int \sin(u)\,du[/tex]

Evaluate the integral:

[tex]=2u\sin(u)+2\cos(u)[/tex]

Now, use the bounds. So:

[tex](2(\pi)\sin(\pi)+2\cos(\pi))-(2(0)\sin(0)+2\cos(0))[/tex]

Evaluate:

[tex]=(2\pi(0)+2(-1))-(0(0)+2(1))[/tex]

Simplify:

[tex]=(-2)-(2)[/tex]

Subtract:

[tex]=-4[/tex]

And we're done!

Answer:

Qn.1

{4,5,6,7,8,9,12,15,16}is ans of 1

{8,9}is ans of 2

{4,5,6,7,8,9,18,20}is ans of 3

{}Is the ans of 4

{8,9,12,15,16,18,20}is ans of 5

{}is ans of 6

{4,5,6,7,8,9,12,15,16,18,20} is ans of 7

{8,9,12,15,16} is ans of 8

Qn.2

{0,12}is ans of 9

{0,2,10,12}is ans of 10

{0,4,6,8,12}is ans of 11

{2,4,6,8,10}Is ans of 12

{}is ans of 13

{0,12}is ans 14

{0,12} is ans 15

{0,2,10,12} is ans of 16

{0,12} is ans of 17

{0,12} is ans of 18

{2,10} is ans of 19

{4,6,8} is ans of 20

I haven't made the symbol of union and intersection because i don't how to make.

it may help you at your work

Answer:

20 Gallons of paint are needed.

Step-by-step explanation:

Surface Area of a rectangular prism formula is 2 * length * width + 2 * length * height + 2 * width * height.

Substituting the given values, we get:

SA = 2 * 20 * 13 + 2 * 20 * 8 + 2 * 13 * 8

SA = 1048

Area of the floor is length * width. 20 * 13 = 260

Subtract the area of the floor from SA as we do not paint the floor. 1048 - 260 = 788

The number of gallons of paint is 788 / 40 as each gallon covers 40 sq feet. We round this number up to ensure that we have more than enough paint. 788 / 40 = 19.7. Rounding that to 20.

Therefore, 20 gallons of paint are needed.

Answer:

5/3

Positive 5 over 3

Step-by-step explanation:

(-2)(-5/6)​

10/6

5/3

Answer:

$24.400

Step-by-step explanation:

it means you should round to hundredth place

$24.37

Answer:

[tex]x = \frac{31}{7}[/tex]

Answer:

31/7

Step-by-step explanation:

Plus both sides by 3/7, and on the left it is 4 + 3/7. Transfer that into an improper fraction, and it's 31/7

Answer:

96 inch,180 inch,216 inch

Step-by-step explanation:

let the sides be 8x,15x,17x

then 8x+15x+17x=480

40x=480

4x=48

x=48/4=12

8x=8×12=96

15x=15×12=180

17x=17×12=216

If the jeans aren't bought at all, or as much as the other brands, then the store owners would have no choice but to lower prices. It's either that option or they would return the merchandise (if possible) or simply throw away the jeans. Setting the right price is more or less trial and error. There are mathematical ways to make an educated guess, but to be fair, there are a lot of factors in play that make trial and error more effective.

For example, if the jeans start at $100 and no one buys them for a week, then the owner may reduce the cost to $75 and see if the 25% discount is effective or not. If people buy, then the price may stay there. If not, then the price may come down even further. The process is continued indefinitely. On the flip side, if demand skyrockets, then prices would likely go up.

the price of the jeans is likely to be affected by the low demand resulting from the high cost.

Based on the given information, it can be inferred that the price of the jeans is not aligned with the market demand due to its high cost relative to other brands. In this scenario, several outcomes are possible:

1. Decrease in Price: If the jeans are not selling well due to their high cost, the brand might experience a decrease in demand. To stimulate sales, the brand may need to lower the price of the jeans to make them more affordable and competitive. This price adjustment aims to attract customers who were previously deterred by the high cost.

2. No Change in Price: The brand may choose to maintain the current price despite the low demand. This decision can stem from factors such as maintaining the brand image or relying on a niche market that is willing to pay a premium for the product. However, in such a situation, the brand may need to focus on marketing and branding efforts to emphasize the unique qualities or benefits of the jeans to justify their higher price.

3. Increase in Price: It is less likely that the brand would increase the price of the jeans if they are not selling well due to their high cost. Increasing the price further would likely deter even more customers and exacerbate the issue. However, if the brand has a particularly strong brand image or a highly loyal customer base that is willing to pay a premium, a price increase may be feasible in rare cases.

In summary, the price of the jeans is likely to be affected by the low demand resulting from the high cost. The brand may choose to decrease the price to boost sales or maintain the current price while focusing on marketing efforts to highlight the unique value proposition of the jeans. An increase in price is less probable given the low demand.

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Answer:

Step-by-step explanation:

(x₁ , y₁) = (-3.1  , -2.8)   & (x₂ , y₂) = (-4.92 , - 3.3)

[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{-3.1-4.92}{2},\frac{-2.8-3.3}{2})\\\\\\=(\frac{-8.02}{2},\frac{-6.1}{2})\\\\\\=( -4.01 , -3.05)[/tex]

Answer:

8x≤2.40, x ≤ $0.30

Step-by-step explanation:

Answer:

Estimation is the process of arriving at an approximate answer to a question. It is helpful to use estimation when you need to calculate something fast or the data/information your given is uncertain or unstable  

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)

10.00 divided by 0.06=  166

I hope this helps! :)

Answer:

Given circumference (C) = 16

Radius =  

C  =  

2π

2.5464790894703

Diameter =  

C  =  

π

5.0929581789407

Area =  

C2  =  

4π

20.371832715763

Step-by-step explanation:

We've all seen circles before. They have this perfectly round shape.

Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where the distance from the center to the edge of the circle is always the same. In order to calculate the radius, you need the circumferance or the diameter.

Answer:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter

Step-by-step explanation:

Answer:

0.2+2x+8x+2.4

10x+2.6

x=2.6-10

x=-7.4

Answer:

let side of square= x

breadth of rectangle= side if square= x

length of rectangle= y

perimeter of both are equal, so

4x= 2(y+x)

4x= 2y+2x

2x=2y

x=y

Mahalia can make a total of 18 napkins using the fabric which she has bought.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

Given that,

She has 12 inches wide and 6 yards long fabric.

Since 1 yards = 36 inches.

So,

6 yards = 6 × 36 = 216 inches.

Now,

The total surface area of napkins ⇒ 12 × 216

⇒ 2592 inch²

Area for 1 napkin = 1 foot × 1 foot

Since 1 foot = 12 inches

So,

Area for 1 napkin = 12 × 12 = 144 inch²

Number of napkins can be made = The total surface area of napkins / Area for 1 napkin

Number of napkins that can be made = 2592 inch² / 144 inch²

⇒ 18

Hence "Mahalia can make a total of 18 napkins using the fabric which she has bought".

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Answer:

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

We see that our h and our k are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

√r² = √16

∴ Our radius is equal to 4

Answer:

putting roots on both sides,

[tex] \sqrt{(2x - 3)} {}^{2} = \sqrt{81} [/tex]

or, 2x-3 =9

or, 2x= 9+3

or, 2x = 12

Or, x = 12÷2

:. x=6

Answer:

Area = a²

= 10²

= 100

Step-by-step explanation:

Answer:

100 cm 2

Step-by-step explanation:

Area of square = s ^ 2

                         = 10 ^ 2

                         = 100 cm square