The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $2 per pound to get 200 pounds of the new blend. The selling price of the new blend is to be $2.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?

The slope-intercept equation of the line that includes the points (1, 1) and (2, 8) is y = 7x - 6.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Next, we would determine the linear equation representing the line which passes through the points (1, 1) and (2, 8) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 1 = (8 - 1)/(2 - 1)(x - 1)

y - 1 = 7(x - 1)

y = 7x - 7 + 1

y = 7x - 6

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In the second option (b) the rectangles have the area and the perimeter the same number of units or square units.

What are the perimeter and area?

The area is the region covered by shape or figure whereas the perimeter is the distance covered by the outer boundary of the shape. The unit of area is given by a square unit or unit2 and the unit of the perimeter is the same as the unit.

(a)

Area of a rectangle = length ×  breadth

              =(8×6)

              =48 feet²

Perimeter of the rectangle = 2(length + breadth)

                           =2(6+8)

                           =28 feet

(b)

Area of a rectangle = length ×  breadth

              = (4×4) yards²

              = 16 yards²

Perimeter of the rectangle = 2(length + breadth)

                           =2(4+4)

                           =16 inches

(c)

Area of a rectangle = length ×  breadth

              =(9×4) inches²

              = 36 inches²

Perimeter of the rectangle = 2(length + breadth)

                           =2(9+4)

                           =26 inches

(d)

Area of a rectangle = length ×  breadth

              =(7×4) meters²

              =28 meters²

Perimeter of the rectangle = 2(length + breadth)

                           =2(7+4)

                           =22 meters

Hence, In the second option (b) the rectangles have the area and the perimeter the same number of units or square units.

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Answer:

8x + 8 * 2 = 200

Step-by-step explanation:

Let's assume that each friend received x flyers to pass out.

The equation would be:

8x + 8 * 2 = 200

8x = 184

x = 23

So each friend received 23 flyers and 2 bags, and in total, they received 23 * 8 + 8 * 2 = 200 items.

The annual property tax for the Joseph family is $8749.8.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

The Joseph family took out a $175,000,

25-year mortgage at an APR of 4%.

The assessed value of their house is $9,000.

The annual property tax rate is 97.22% of assessed value.

The annual property tax = 9000 x 97.22/100

The annual property tax = $8749.8

Therefore, the annual property tax = $8749.8

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f(x) = ax2 + bx + c, where a, b, and c are real values and a = 0, is a quadratic function. A quadratic function's domain is (,). The graph of the simplest quadratic function, f(x) = x2, is shown below. Its shape, a parabola, should be recognizable from Intermediate Algebra.

To find the time at which the ball hits the ground, we need to find the value of t when h(t) = 0.

Solving -16.1t^2 + 150 = 0 gives us:

-16.1t^2 = -150

t^2 = 9.37

t = 3.05 (rounded to the nearest hundredth)

So the ball hits the ground after 3.05 seconds.

The complete question is:-

The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 story building.

- From what height, in feet, was the ball dropped?

-After how many seconds, rounded to the nearest hundredth, did the ball hit the ground?

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The solution to the system of equations ordered pair is (-1, 4).

A simultaneous equation is any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.the solution to the system of equations {y=7x+1 , y=−3x+1

Given:

a collection of equations

Equation 1 is y = 7x + 11.

Equation 2: y = 3x + 1.

Equation 1's y value is changed to equation 2's value.

7x + 11 = -3x + 1

10x = -10

x = -1

And y = 4

Consequently, the answer is (-1, 4).

The solution to the system of equations ordered pair is (-1, 4).

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The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40, with a product of 400. This was determined by comparing the products of each pair and determining which is the largest.

a. The product of the first pair of numbers is 1 x 49 = 49, the product of the second pair of numbers is 2 x 48 = 96, and the product of the third pair of numbers is 10 x 40 = 400.

b. The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40.

c. To determine which pair of numbers have the largest product, we need to compare the products of each pair and determine which is the largest. In this case, the pair of 10 and 40 have the largest product of 400.The pair of numbers that have a sum of 50 and will produce the largest possible product is 10 and 40, with a product of 400. This was determined by comparing the products of each pair and determining which is the largest.

The complete question is :

What are a few pairs of positive numbers whose sum is 50 and which have the largest possible product?

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Answer:

no picture is added ill help you if you add it

Step-by-step explanation:

Answer:

Add a picture than I'll tell you if (b) is correct or not :)

Step-by-step explanation:

Answer:

f= 68

g= 88

h= 100

i= 114

Step-by-step explanation:

Answer:

she should charge $10 for interest or even more is she wants to make $1005 per year from investing

The diagonals of a square are both congruent and perpendicular.

Because a square is a regular quadrilateral with four equal sides and four equal angles, it is a quadrilateral. A rectangle with two adjacent sides of equal length can also be used to describe it. A chess board, dice, tiles, napkins, etc. are a few examples.

The perpendicular bisectors of a square's diagonals are one another. Each diagonal is divided into two congruent parts as a result, and their intersection creates four right angles. As a result, if a diagonal is given, its length, one segment's length is equal to half of the diagonal's overall length. They are also divided at a 90-degree angle, making them perpendicular, and they are similar in length. 

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The amount of raw materials in Entry (5), which would raise the raw materials balance from $15,000 to $25,000, might cost $85,000.

Entry (5) can refer to a $85,000 purchase of raw materials. The raw materials balance would rise from $15,000 to $25,000 as a result. The raw materials account's balance is shown in the t-account above both before and after the entry. The raw materials balance was $15,000 prior to this entry. The raw materials balance is now $25,000, an increase of $10,000 after this input. This increase is attributable to the $85,000 purchase of raw materials. This transaction is documented in entry (5), which represents a $85,000 debit to the account for raw materials. The raw materials account now has a balance of $25,000 instead of just $15,000. This is how entry (5) may describe a $85,000 purchase of raw materials.

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Answer:

The answer is B. 5 1/4 twisties

Answer:

276.46 in^3

Step-by-step explanation:

See the attached worksheet.  The pencil balloon if formed by a cylinder and cone.  Use the volume formulas for each of these shapes to calculate that shape's contribution to the total volume, and then add them.

The volume of the cylinder portion is 263.9 in^3.

The volume of the cone portion is 12.56 in^3

The sum is 276.46 in^3, which matches the first answer option.

Answer:

276.46 cubic inches

Step-by-step explanation:

Volume of the cylindrical part = πr²h, r= radius, h = height

Volume of a cone  (1/3) πr²h,  r= radius, h = height

For given dimensions

cylinder h = 21, cylinder r = 2

Volume of cylindrical part of balloon = π · 2² · 21 = 4 · 21 · π = 84π cubic inches

Volume of conical part of balloon = (1/3) π · 2² · 3 = 4π

Total volume = 84π + 4π = 88π = 276.46 cubic inches

The price a customer pays for a printer which the company bought for $1700 is $2125 and the price the company paid for a printer which was sold to a customer for $2500 is $2000.

percentage, a relative value indicating hundredth parts of any quantity.

Given that a company sells its printers to customers in order to make a profit of 25%.

We have to find the price a customer pays for a printer which the company bought for $1700.

x-1700/1700=25%

x-1700=425

Add 1700 on both sides

x=$2125.

We need to find the price the company paid for a printer which was sold to a customer for $2500

2500-x/2500=25%

x=2000

Hence, the price a customer pays for a printer which the company bought for $1700 is $2125 and the price the company paid for a printer which was sold to a customer for $2500 is $2000.

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The height of the corresponding to the longest side is 25.03 cm

Given data :

Let the sides of triangles are 3x,5x and 7x.

And perimeter of the triangle is 120cm.

So , 3x + 5x +7x =120

       15x = 120

         x = 8

so, the sides are triangle are 3(8) = 24cm, 5(8) = 40cm , 7(8) = 56cm

so , the longest side is 56 cm.

Area of triangle =   [tex]\sqrt{s(s - a)(s -b)(s-c)}[/tex]

here , s = 64  and a = 24, b = 40c = 56

= [tex]\sqrt{64*(64-24)(64-40)(64-56)}[/tex]

= [tex]\sqrt{64*(40)(24)(8)}[/tex]

=[tex]\sqrt{491520}[/tex]

= 701.08

So, the area of triangle is 701.08 cm 2 and the height corresponding to longest side

h = 2 x 701.08 / 56 = 25.03 cm

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The probability of rolling a number less than 5 is 42/60

It is given by the quotient between the number of times that we got a given outcome and the total times that the experiment was performed.

Here we want to find the experimental probability of landing on a number less than 5 (these are 1, 2, 3, 4)

Outcome Frequency

1                  12

2                 13

3                   11

4                   6

These are the tables, adding these we get:

12 + 13 + 11 + 6 = 42

So in 42 out of 60 tosses we got a number less than 5, then the experimental probability is:

42/60

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The cost of transporting 17 tons of sugar is $8750.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

here, we have,

It will cost $4500 to rent trucks,

and it will cost an additional $250 for each ton of sugar transported.

we know,

Multiplication and division do not separate the terms of an equation.

now,

The given information can be related as,

C = 250S + 4500.

Now, when tons of sugar is 17 we'll simply replace S with 17.

∴ C = 250(17) + 4500.

C = 4250 + 4500.

C = 8750.

Hence, The cost of transporting 17 tons of sugar is $8750.

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Answer:

1

Step-by-step explanation:

You can think of this problem this way:

[tex]0.4*2.5=\frac{2}{5}*\frac{5}{2}=\frac{10}{10}=1[/tex]

Answer: 1

Step-by-step explanation:

there are two decimal places in total, keep that in mind

multiply everything by 10 to make whole numbers and multiply

4x25=100 because 4x5=20 and 4x20=4x10x2=80 and 20+80=100

remember those two decimals we counted, take that number, and move the decimal place over that many in your answer. 100 becomes 1

why not just use a calculator lol, you have internet access

Sampling randomly is considered a statistically valid reason for choosing subjects for a study as it reduces the risk of sampling bias. The correct option is a.

Sampling bias refers to a systematic error that occurs in the process of selecting subjects for a study, leading to a sample that is not representative of the population.

By selecting subjects randomly, researchers aim to eliminate any preconceived biases or preferences that may influence the selection process. This leads to a sample that is more representative of the population, providing a more accurate representation of the population's characteristics.

Furthermore, random sampling (with a large sample) has the potential to give a perfect reflection of the population, assuming that the sample size is large enough. This is because, as the sample size increases, the sample becomes more representative of the population and tends to exhibit the same characteristics and distributions as the population.

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The number of tables with a seating of 4 people is 13.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Beatriz is in charge of setting up a banquet hall. She has five tables that will seat six people each. If no more than 62 people.

The number of the tables will be calculated as:-

Number = 62 / 4

Number = 13

Hence, the number of tables with a seating of 4 people is 13.

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Answer:

well if 4 is x and y is -6 but =2 then it's 8

Step-by-step explanation:

hope u have a good day

Answer:

5a + 45

Step-by-step explanation:

5(a+9)

5a + 45

Triangle ABC is similar to triangle ADE by AA test of similarity

Similarity is a property which says that the respective angles of two triangles are of equal measure and corresponding sides are in proportion.

here, we have,

There are different types of similarity test by which we can prove the similarity of triangles.

We are given that BC is parallel to Line DE

As the lines are parallel the respective angle are corresponding angles

hence Angle D = Angle B

And Angle E = Angle C

And both triangle have angle A as common angle

By AA test of similarity we can say that the two triangles are similar

Hence by AA test similarity the two triangles are similar

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The area of the base of this prism is 2. 5 square inches

It Is important to note the properties of a triangular prism, they include;

From the information given, we have that;

Base area = 1/2 base × height

Substitute the values, we get

Base area = 1/2 × 5 × 1

Multiply the values

Base area = 2. 5 square inches

Hence, the value is 2. 5 square inches

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The ratio of the given expression is equal to 1:16.

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Sometimes, pupils struggle to understand the relationship between ratio and proportion.

We have x=1 and y=2, and we have to find the ratio of x4:y4,

x=1 and y=2 (given)

[tex]x^4:y^4=(1)^4:(2)^4\\\\x^4:y^4=1:16=1/16[/tex]

the ratio of the given expression is equal to 1:16.

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If the equation be 2x² + 7x – 30 then the solution to this equation be 2.5.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Let the given equation be 2x² + 7x – 30 = 0

Factorizing it as

(2x – 5) (x + 6) = 0

then we get

2x – 5 = 0 or x + 6 = 0

simplifying the equation we get

2x = 5 or x = –6

x = 5/2 or x = –6

x = 2.5 or x = –6

Therefore, the correct answer is option a) 2.5.

The complete question is:

Which value of x is a solution to this equation?

2x² + 7x – 30

a) 2. 5

b) 5

c) -2. 5

d) -3

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The vertical profiles for pressure, density, as well as temperature with in troposphere are displayed in an x-y graph.

Pressure altitude is temperature-adjusted density altitude.

Pressure and temperature have a direct and indirect relationship with density.

Thus, the vertical profiles for pressure, density, as well as temperature with in troposphere are displayed in an x-y graph.

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