Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth of $3.20 per pound. what is the cost per pound of the blend?​

Answer:

x = 24.0

Step-by-step explanation:

We will need to use one of the trigonometric ratios to find x.  

If we use 58 as the reference angle, we can use tan to find x, as [tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan (58)=\frac{x}{15}\\ 15*tan(58)=x\\x=24.005\\x=24.0[/tex]

Answer:

??

Step-by-step explanation:

pls type the question properly have a good day:-)

If you're rolling a single cube, then ...

-- There are 6 possible out comes.

-- One of them (5) is a multiple of 5 .

-- The probability of rolling it is (1/6) = 16-2/3 % .

If everything is acting perfectly random, then ion 100 rolls,

you'd expect to succeed 16 or 17 times.

If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.

-- There are seven ways to get a multiple of 5.

(1+4),  (4+1),  (2+3),  (3+2),  (4+6),  (6+4),  (5+5)

-- The probability of rolling one of those is

                                                            (7/36) = 19-4/9 % .

If everything is acting perfectly random, then in 100 rolls,

you'd expect to succeed 19 or 20 times.

Answer:

Answer is -1

have a nice hope it helps.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}[/tex]

[tex]\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r[/tex]

Answer:

174 in.
14.5 ft.

Step-by-step explanation:

1. 7ft = 84in

2. 9in x 10 = 90

3. 84in + 90in = 174 in

Answer:

a) 1/8

b) 8

Step-by-step explanation:

a) 1/2 x 1/2 x 1/2 = 1/8

b) since the exponent is negative it becomes positive when placed in the denominator

so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2

therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8

Answer:

acute

Step-by-step explanation:

Check using the Pythagorean Theorem:

A^2 + B^2 ≟ C^2

9^2 + 115 ≟ 11^2

196 > 121,

so this triangle is acute because the sum of each leg squared is longer than the length of the hypotenuse squared.

Answer:

f(-8) = 64

Step-by-step explanation:

Given conditions :

We have x = -8

⇒ It follows x < 0

Therefore, substituting x = -8 in the function :

1st clock timing

2nd clock timing

3rd clock timing

4th clock timing

30.

formula for discount: original price - final price

In percentage:

[tex]\rightarrow \sf \dfrac{194.25}{700} *100[/tex]

[tex]\rightarrow \sf 27.75\%[/tex]

ii)

3($194.25) = $582.75 discount

In percentage: same. 27.75%

Answer:

Area= MULTIPLICATION

So, 13x9x4x15x10=70200

70200 Square inches.

There are two rectangles in the idiosyncratic shape. In order to find the area of the figure, we need to solve for one rectangle first.

The formula for solving the area of a rectangle is [tex]A = lw[/tex]. For the smaller rectangle on the left, we have both the length and width, so we can just multiply after plugging in the numbers into the equation; [tex]A = 13 * 4[/tex]. The 13 represents the length and the 4 represents the width. After solving, we get 52 inches squared for the first rectangle.

The larger rectangle, we already have the length and width as well, so we can just plug the numbers into the formula, [tex]A = 15 *10[/tex], as 15 represents the length and the 10 represents width. 15 × 10 = 150.

After doing this, we need to add up the two rectangles together, which we get a sum of 202. The total area of the figure is 202 inches squared.

Answer:

its easy it should be 1.25 or well that the answer I got

Answer:

circumference

Step-by-step explanation:

circumference shows us how sowmthing goes around. like have you ever been to the doctor and they said theyre checking a babys head circumference? theyre checking it all over.

Answer: $11.00

Step-by-step explanation: Please see attached PDF.

Answer:

32

Step-by-step explanation:

Since we know 8 = 1/4

We can convert the 1/4 into a percentage:

8 = 25%

To get to 100% which is the full club we have to multiply both sides by 4:

8×4 = 25% ×4

32 = 100%

So there are 32 people in the club.

Answer:

I don't know if this is all the way right but I hope it is.

Step-by-step explanation:

Step 1.

Put the data in order to find the median.

Median = 72

Find the Lower Quartile and the Upper Quartile. These are the medians of the lower and upper halves.

Lower Quartile = 66

Upper Quartile = 79

Next put those points on your number line and mark your smallest and

greatest values, the median, and the Quartiles.

Answer:

i dont know i tried really really hard i wish i could help

Step-by-step explanation:

The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020

To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.

Reflexive relation: x is related to x

Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.

Symmetric relation: x is related to y implies y is related to x

Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property

Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R

Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions

Learn more about relations on:

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Answer:

b. y = 3/4x

Step-by-step explanation:

you can count it on the graph or use the slope formula

The function [tex]y=0.3^x[/tex] represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.

The formula for the Population Growth Equation is:

[tex]P_f=P_o*(1+\frac{R}{100}) ^t[/tex]

Pf= future population

Po=initial population

r=growth rate

t= time (years)

growth or decay factor =  (1 ±r)

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:

[tex]y=0.3^x[/tex], then

Pf=y

Po= 1  

[tex](1+\frac{R}{100}) =0.3[/tex] , thus

[tex](100+R}) =30\\ \\ R=-100+30\\ \\ R=-70[/tex]

r= -70%= -0.7

decay factor= (1-0.7)=0.3

Therefore,

1+R will be = 1+(-0.7)=1 - 0.7 =0.3

When 1+R >1, the function represents exponential growth.

Read more about the exponential function here:

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Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Step-by-step explanation:

15² = 9² + 12²

225 = 81 + 144

225 = 225

so it is an right angled triangle....

( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)

Answer:

poly Gon have [tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex]

Answer:

Your answer is k< -6

Step-by-step explanation:

Answer:

8995{c-(-12)4} valva a 2 b 5 c -7

1&5<y x=(2,0)

Answer:

32

Step-by-step explanation:

Given :

Finding the propotionality constant

Finding P in Case (ii)

Answer:

[tex]\bold{ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}}[/tex]

Explanation:

[tex]\dashrightarrow \ \ \sf 2sin(3\theta) = \sqrt{3}[/tex]

[tex]\dashrightarrow \ \ \sf sin(3\theta) = \dfrac{ \sqrt{3}}{2}[/tex]

[tex]\dashrightarrow \ \ \sf 3\theta = sin^{-1}(\dfrac{ \sqrt{3}}{2})[/tex]

[ your calc should be in radian mode [R] ]

[tex]\dashrightarrow \ \ \sf 3\theta = \dfrac{\pi }{3} , \ \ \dfrac{2}{3} \pi , \ \ \dfrac{7 \pi }{3}, \ \ \dfrac{8\pi }{3}, \ \dfrac{13\pi }{3}, \ \dfrac{14\pi }{3}[/tex]

[tex]\dashrightarrow \ \ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}[/tex]

Answer:

divided by 3 on both sides

Scaled dimensions

Area:-

The area of the drawing is 71.25 square cm.

The area of Rectangle is length times of width.

The actual dimensions of the rectangle are 95 m by 75 m.

The drawing is made to a scale of 1 cm to 10 m, which means that each centimeter on the drawing represents 10 meters.

Let us find the area of the drawing

First calculate the area of the rectangle in real life, and then scale it down using the ratio of 1 cm to 10 m.

The area of the rectangle in real life is:

95 m × 75 m = 7125 square meters

To scale this down to the drawing, we need to divide both dimensions by 10.

The area of the drawing is

(95 m / 10) × (75 m / 10)

= 9.5 cm × 7.5 cm

= 71.25 square cm

Therefore, the area of the drawing is 71.25 square cm.

To learn more on Rectangles click:

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