You buy 10 pounds of bird seed at Store A for $11.50. Your friend buys 15 pounds of bird seed at Store B for $19.50. How much less would you spend buying 20 pounds of bird seed at the store with the better deal?

HELPPP PLEASE

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

4

Step-by-step explanation:

Im assuming you mean the first and second equation equal each other:

3x+2=2x+6

x=4

Answer:

Step-by-step explanation:

Answer:

\(\boxed{ \frac{3}{ 4} } \times 7 \: ... \overline{\underline{\boxed{: }} }\: ... \: 7 \times \boxed{\frac{3}{4} } \:... \overline{\underline{\boxed{: }} }\: ... \: 3 \times \boxed{ \frac{7}{ 4} } \\ \bull \: they \: all \: have \: the \: same \: denominator \to \boxed{(4)}\\ \bull \: they \: all \: have \: the \: same \: numarator \to \boxed{(3 \: \times 7 \: )}\\ \bull \: they \: all \: are \: improper \: fractions \: and \: are \: simplified \: to \to \:\boxed{ 5 \frac{1}{4} }\)

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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The volume of granola a cylindrical container can hold 5451.6 cubic centimeters if containers have a diameter of 20 cm and a height of 17. 4 cm.

The number of unit cubes (cubes of unit length) that can fit inside a cylinder determines its volume.

Identifying the radius (r) and height (h)
r = 10 cm
h = 17.4 cm

Calculating the volume (V) using the formula V = πr²h
V = π × (10 cm)² × 17.4 cm
V ≈ 3.14 × 100 cm² × 17.4 cm
V ≈ 5451.6 cm³

Approximately, a container will hold 5451.6 cubic centimeters of granola.

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By applying the Mean Value Theorem to the function f(x) = eˣ - (1+x) on the interval [0, x], where x>=0, it is shown that there exists a c in (0, x) such that f'(c) = \(e^c\) - 1 >= 0, which implies that eˣ >= 1+x.

To use the Mean Value Theorem, we need to show that a function f(x) satisfies the conditions of the theorem

The function f(x) is continuous on the closed interval [0, x].

The function f(x) is differentiable on the open interval (0, x).

We take f(x) = eˣ  - (1 + x). Note that f(0) = 0, and we need to show that there exists a value c in (0, x) such that f'(c) = f(x) - f(0) / (x - 0) = f(x) / x >= 1.

Now, we take the derivative of f(x)

f'(x) = eˣ- 1

Note that f'(x) > 0 for all x > 0, which means that f(x) is an increasing function on the interval (0, infinity). Therefore, the minimum value of f(x) on the interval [0, x] is f(0) = 0, and the maximum value of f(x) on the interval [0, x] is f(x).

By the Mean Value Theorem, there exists a value c in (0, x) such that

f'(c) = f(x) - f(0) / (x - 0)

\(e^c\)- 1 =eˣ - (1 + x) / x

Simplifying, we get

\(e^c\) = 1 + x + x² / 2! + x³ / 3! + ... + xⁿ / n! + ....

> 1 + x

Since \(e^c\) > 1 + x for all c in (0, x), we can conclude that eˣ >= 1 + x for all x >= 0.

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Answer:

x = 4/3 + t

y = -1/3 - 2t

z = 4/3 - t

Step-by-step explanation:

The given line can be represented by the vector equation:

r = <1, 1, 0> + t<1, -1, 2>

We can find a vector that is perpendicular to this line by taking the cross product of the direction vector <1, -1, 2> with any other vector. Let's choose the vector <1, 0, 0> for this purpose:

n = <1, -1, 2> x <1, 0, 0> = <-2, -1, -1>

Now we have a normal vector n = <-2, -1, -1> to the line we want to find. We can use this vector and the given point (0, 1, 2) to find the equation of the plane that contains the line we want to find:

-2(x-0) - (y-1) - (z-2) = 0

-2x - y - z + 3 = 0

This plane intersects the given line when they have a point in common. To find this point, we can solve the system of equations:

-2x - y - z + 3 = 0

x - y = 1

z = 2t

From the second equation, we get x = t+1 and y = t. Substituting these into the first equation, we get:

-2(t+1) - t - 2t + 3 = 0

t = -1/3

Therefore, the point of intersection is (4/3, -1/3, 4/3). This point lies on both the line and the plane, so it is the point we need to use to find the parametric equations of the line we want to find.

Let's call the point we just found P. We can find the direction vector of the line we want to find by taking the cross product of the normal vector n with the vector from P to the point on the given line:

d = <-2, -1, -1> x <4/3-1, -1/3-1, 4/3-2> = <1, -2, -1>

Therefore, the parametric equations of the line we want to find are:

x = 4/3 + t

y = -1/3 - 2t

z = 4/3 - t

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Given:

A sum of money is divided between A,B and C in the ratio 9:8:7.

Total sum is 480.

To find:

The part of money A get.

Solution:

Let A, B and C get 9x, 8x and 7x respectively.

Total sum is 480.

\(9x+8x+7x=480\)

\(24x=480\)

Divide both sides by 24.

\(x=\dfrac{480}{24}\)

\(x=20\)

Now,

\(A\ get =9x\)

\(A\ get =9(20)\)

\(A\ get =180\)

Therefore, amount received by A is 180.

Answer:13x

Step-by-step explanation:I had that

Answer:

I have no clue what a graphical situation is but I do know the answer to x and how to plot it

first of all the answer to x is

x<-3 1/3

So first of all for the graph its a blank circle becuase its not a greater then or equal to sign.

Always iclude 0 in graphs

make a plot out of 1/3 benchmarks

1/2, 2/3, 1, 1 1/3, etc. (but its negative instead)

Now from the -3 1/3 point

make a black circle and make a line pointing to the left

there The graph

The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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Answer:

P = \(\frac{40}{V}\)

Step-by-step explanation:

given P is inversely proportional to V then the equation relating them is

P = \(\frac{k}{V}\)

to find k use the condition when V = 8 , P = 5 , then

5 = \(\frac{k}{8}\) ( multiply both sides by 8 to clear the fraction )

40 = k

P = \(\frac{40}{V}\) ← equation of proportion

Answer:

P = 40/V.

Step-by-step explanation:

P = k/V where k is a constant

Substituting the given values:

5 = k/8

k = 5*8 = 40.

So the formula is:

P = 40/V

we have that

total students does not have a dog=8

so

the probability is

Step-by-step explanation:

Subtract

20

from both sides of the equation.

x

2

−

4

x

=

−

20

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

−

2

)

2

Add the term to each side of the equation.

x

2

−

4

x

+

(

−

2

)

2

=

−

20

+

(

−

2

)

2

Simplify the equation.

Tap for more steps...

x

2

−

4

x

+

4

=

−

16

Factor the perfect trinomial square into

(

x

−

2

)

2

.

(

x

−

2

)

2

=

−

16

Solve the equation for

x

.

Tap for more steps...

x

=

2

±

4

i

Answer:

x=-3/7

Step-by-step explanation:

multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7

Step-by-step explanation:

.5 / 1.5    is  1/3       (1/3)^2  = 1/9

Answer: 0.09

Step-by-step explanation:

0.5 ÷ 1.5 = 0.3 0.3squared = 0.09

The equation of the line that is parallel to y = 2/3x + 19 and passes through (-9, 4) is: y = 2/3x + 10.

Two lines that are parallel have equal slope (m).

In the slope-intercept form of the equation of  given line, y = mx + b:

Given:

A point (-9, 4)

Equation, y = 2/3x + 19.

The slope (m) = 2/3.

The line that passes through (-9, 4) and is parallel to y = 2/3x + 19 would also have a slope (m) = 2/3.

Substitute (x, y) = (-9, 4) and m = 2/3 into y = mx + b to find the value of b:

4 = 2/3(-9) + b

4 = -6 + b

4 + 6 = b

b = 10

To write the equation, substitute m = 2/3 and b = 10 into y = mx + b:

y = 2/3x + 10.

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As, we have :

Therefore,

f(3) = 2(3) - 1 = 6 - 1 = 5

Now, g(x) = 9x

Therefore,

g(1) = 9(1) = 9

Now, we have to find value of f(3) + g(1) :

By substituting values, we have :

f(3) + g(1) = 5 + 9 = 14

Hence, value of f(3) + g(1) is 14.

Answer:

\(→f(x) = 2x - 1 \\→ g(x) = 9x \\→ f(3) = 2(3) - 1 \\ f(3) = 6 - 1 \\ f(3) = 5 \\→ g(1) = 9(1) \\ g(1) = 9 \\→ f(3) + g(1) = 5 + 9 \\ \boxed{f(3) + g(1) = 14}\)

Answer:

tan (40°) = \(\frac{x}{100}\)

Step-by-step explanation:

tan \(\theta\) = \(\frac{opposite}{adjacent}\)

The opposite side to angle B is x. The adjacent side to angle B is 100 ft.

tan (40°) = \(\frac{x}{100}\)

Answer:

tan 40° = x/100

Step-by-step explanation:

As, AC is perpendicular and BC is the with respect to angle ABC. So, tan 40° will be use to determine the distance in feet from point C to point A.

tan ABC = perpendicular/base

tan 40° = AC/BC

tan 40° = x/100 feet

Task 1:a) The measure of angle  Y'Z'X'= 22  degrees

Task2:b) The measure of angle X'Y'Z'= 75 degrees.

An angle is a figure in Euclidean geometry made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are located in the plane where the rays are located. The meeting of two planes can also create an angle. Angle can also be used to describe the size of an angle or of a rotation. This metric represents the proportion of a circular arc's length to radius.

Angle Y'Z'X' = YZX = 22 degrees (in a triangle, angle dilation does not

modify angle size). Only the sides' length varies.

The sum of the triangle's angles for the XYZ angle is 180 - 83

-22 = 75 degrees. Since there are already two angles supplied, the third

angle is 75 degrees, so X'Y'Z' = XYZ = 75 degrees. The dilation angle size remains unchanged (for the same reason as in the previous challenge).

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The complete question is:

"Triangle XYZ is taken by a dilation with center Y and scale factor 5/2 to Triangle X’Y’Z’. The measure of angle YXZ is 83 degrees and the measure of angle YZX is 22 degrees.

Task 1: a) What is the measure of angle Y’Z’X’? Explain your reasoning.

Task 2: b) What is the measure of angle X’Y’Z’? Explain your reasoning."

Answer:

76

Step-by-step explanation:

Answer:

11x +98 just assume it to be an arithmetic progression

Answer:

Normal distribution

Step-by-step explanation:

The answer is "normal distribution". This is because in a normal distribution, the mean, median and mode are equal. What this means is that the distribution will be symmetrical with a bell curve unlike in positive or negative skew where it is skewed to either the left or right.

Add 5 x 3 + 7

5 x 3 + 7
15 + 7
22

Answer:

Alternatively, you may use addition to solve

Step-by-step explanation:

5+5 = 10 and 5+7 = 12, and we know that 10+10 = 20

Just add the number 2 from the number 12 to 20, and you have the same answer

Answer: seven continents

Step-by-step explanation:

Asia, Africa, North America, South America, Antarctica, Europe, and Australia

When the price of bracelets increases, Jim will start making more bracelets because it has become more profitable to make bracelets than to make earrings.

This means that the supply of earrings will decrease because Jim and other skilled suppliers will shift their production towards bracelets. As a result, the supply curve of earrings is likely to shift to the left, indicating a decrease in supply. In the market, there are many suppliers like Jim who are skilled at making both earrings and bracelets. Therefore, the decrease in the supply of earrings due to the shift in production towards bracelets by these suppliers is likely to be significant. The magnitude of the shift in the supply curve of earrings will depend on the elasticity of production between earrings and bracelets. If it is easy to switch between making earrings and bracelets, then the shift in the supply curve of earrings will be larger than if it is difficult to switch. Overall, the increase in the price of bracelets will have an indirect effect on the supply of earrings through its impact on the opportunity cost of making earrings. As the opportunity cost of making earrings increases, the supply of earrings will decrease, resulting in a leftward shift in the supply curve of earrings.

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Answer:

x-3y-7=0

Step-by-step explanation:

2x-6y=14

2x-6y-7=0

x-3y-7=0