You buy 3 bags of sand and 5 bags of pea gravel for $26. In a second purchase (at the same prices), you buy 4 bags of sand for $8. Let z represent the price in dollars) per bag of sand
and let y represent the price in dollars) per bag of pea gravel Use a graph to find the price per bag of sand and the price per bag of pea gravel
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Alicia made 19 muffins. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four basic operations, often known as "arithmetic operations," are said to be able to fully describe all real numbers. The mathematical operations that follow division, multiplication, addition, and subtraction are quotient, product, sum, and difference.

We are given that Alicia bought 40 oz of flour for her bakery and she used 15.2 oz to make a loaf of bread, and 1.03 oz for each muffin. She had  5.23 oz of flour left over.

So, using subtraction operation, we get

⇒Flour used to make muffins = 40 - 15.2 - 5.23

⇒Flour used to make muffins = 19.57

Now, on dividing this by 1.03, we get

Number of muffins made = 19

Hence, Alicia made 19 muffins.

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The clothing store is having a going out of business sale where every purchase is 35% off the original purchase price. The price of any purchase after the discount can be determined using the following expressions:

What is a mathematical expression?

What does a mathematical expression mean? Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

p - (0.35 * p)

p * (1 - 0.35)

p * 0.65

p / (1 + 0.35)

All the above expressions are equivalent and will give the same price of any purchase after the 35% discount.

p - (0.35 * p) is the expression for subtracting 35% of the original price from the original price.

p * (1 - 0.35) is the expression for multiplying the original price by (1- 0.35) which represents 65% of the original price.

p * 0.65 is the expression for multiplying the original price by 0.65, which represents 65% of the original price.

p / (1 + 0.35) is the expression for dividing the original price by (1 + 0.35) which represents 65% of the original price.

In all the above expressions, the original price is represented by p.

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The outcome is random if we know the possible values it can have, but not which particular value it takes.

Randomness refers to the property of a process or system where the outcome is uncertain, unpredictable, and not predetermined. In a random process, we know the set of possible outcomes.

But we cannot determine which particular outcome will occur until it actually happens. For example, when flipping a fair coin, the possible outcomes are heads or tails.

But we do not know which one will come up until the coin is flipped. Randomness is a fundamental concept in probability theory and is used to model and analyze a wide range of phenomena.

Including games of chance, genetics, and quantum mechanics.

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Answer:

If s = 1 over 3 unit and A = 18s² what is the value of A, in square units? ____ square unit(s).Step-by-step explanation:

In a standard 52-card deck, there are 20,358 ways to pick an (unordered) subset of 6 cards that contains at least one Ace, at least one King, at least one Queen, and at least one Jack.

When selecting a subset of 6 cards from a standard 52-card deck, the main objective is to ensure that the subset contains at least one Ace, one King, one Queen, and one Jack. To calculate the number of ways this can be achieved, we can break it down into steps.

Step 1: Select one Ace, King, Queen, and Jack

There are 4 ways to choose one Ace, 4 ways to choose one King, 4 ways to choose one Queen, and 4 ways to choose one Jack.

Step 2: Select two additional cards from the remaining 48 cards

After selecting one Ace, one King, one Queen, and one Jack, we are left with 48 cards. To complete the subset of 6 cards, we need to choose two more cards from this remaining set. The number of ways to select two cards from 48 is calculated using combinations, denoted as "48 choose 2," which is equal to 1,128.

Step 3: Multiply the results

To determine the total number of ways, we multiply the results of each step. Therefore, the total number of ways to pick an (unordered) subset of 6 cards that contains at least one Ace, one King, one Queen, and one Jack is 4 * 4 * 4 * 4 * 1,128 = 20,358.

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Answer:

100 Times larger.

Step-by-step explanation:

4500000/45000=100

The approximate number of bacteria after 16 hours is 60 bacteria ,Option C is the right answer.

A function is a Mathematical statement which connects a dependent variable and an independent variable.

The graph shows the  the growth rate of a certain bacteria in a lab

the number of bacteria is on the y axis and

the number of hours is on the x axis

The function is continuous ,

From the graph the approximate number of bacteria after 16 hours is

60 bacteria

Therefore Option C is the right answer.

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The one-sided limit of the function f(x) = cot(x) as x approaches a certain value within the interval [0, 2π] can be determined by observing the graph of the function.

The vertical asymptote of the function can also be identified by analyzing its behavior near certain points. In the case of f(x) = cot(x), the one-sided limit and vertical asymptote can be explained as follows.

The one-sided limit of f(x) = cot(x) as x approaches a specific value within the interval [0, 2π] can be determined by examining the graph of the function near that value. The graph of cot(x) consists of a repeating pattern of vertical asymptotes where the function approaches positive or negative infinity as x approaches these points. These vertical asymptotes occur at x = 0, x = π, and x = 2π, among others. For example, as x approaches π/2 from the left (x → π/2-), the value of cot(x) approaches negative infinity (-∞). Similarly, as x approaches π/2 from the right (x → π/2+), the value of cot(x) approaches positive infinity (+∞). These behavior patterns hold true for other vertical asymptotes as well.

The one-sided limit of the function f(x) = cot(x) within the interval [0, 2π] can be determined by examining the graph near the desired point. The vertical asymptotes of the function occur at x = 0, x = π, x = 2π, and so on. The function approaches positive or negative infinity depending on the direction from which x approaches these vertical asymptotes.

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$4065.66  is the investment worth at the end of 5 years.

What is compound interest?

The interest charged on a loan or deposit is known as compound interest. That is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The major distinction between compound and simple interest is this.

Here, we have

Given: Kenji invests $3,500 at an interest rate of 3%, compounded monthly.

A = P(1+r/n)ⁿˣ

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

x = number of time periods elapsed

P = $3,500

r = 3% = 3/100 = 0.03

n = 12 (As there are 12 months in a year)

x = 5 years

A = 3500(1+0.03/12)⁶⁰

3,500 x (1.161616)

$4065.658 = $4065.66

Hence, $4065.66  is the investment worth at the end of 5 years.

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Answer:

12.2cm

Step-by-step explanation:

Follow the steps in the image I send you to learn it if you don't get it tell me.

Answer:

56 ÷ 0.7 is 80

0.7 ÷ 56 is 0.0125

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

km=Kilometers

Hrs=Hours

96>90

yes , the coach break the speed limit and the average speed is 96 km ph

Speed is the time rate at which an object is moving along a path

Given,

A coach travels to the beach which is 576 KM away in 6 hours.

The maximum speed he can travel is speed of 90 kph

We need to check whether the coach breaks the speed limit or not.

Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.

and the average speed he has to maintain is 576/6

96kmph

Hence, yes the coach break the speed limit and the average speed is 96 km ph

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Answer:

0.1

Step-by-step explanation:

r = y/x

r = 1.4 / 14 = 0.1

Answer:7 more games left

Step-by-step explanation:37 - 79=42       42 divided by 6=7

A total of 7 games are left in the season for Devon.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of games left is t

Now,

He gets 6 tackles per game so

6t will be total tackles left.

Total tackles left = 79 - 37 = 42

So,

6t = 42

t = 7

Hence "A total of 7 games are left in the season for Devon".

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Answer:

5

Step-by-step explanation:

As for estimation, you may round 39.76 to the whole number, resulting in 40.

7.94 to 8

40 / 8 = 5

5 is your answer for the result of estimation

Answer:

 its a geometric sequence where each term is 3 times the previous term.

Step-by-step explanation:

{2,6,18,54,162,486,1458...}

Answer:

Step-by-step explanation:

{-43; -44; -45}

-43+(-45)=-88

Answer:

Hey there!

3x+y=7

2x+y=6

3x+y=7

-2x-y=-6

Add these two equations vertically so the y terms cancel out (this is known as the elimination method)

x=1

3x+y=7

3(1)+y=7

3+y=7

y=4

(x=1, y=4)

Hope this helps :)

Answer:

t = 4

Step-by-step explanation:

In step two, instead of multiplying by -6 on both sides, you need to divide by -6 to isolate t.

-6t = -24

÷-6    ÷-6

t = 4

When you multiply by -6 on both sides, the equation would be 36t = 144, which is not what we want. The opposite of multiplication is division, and in order to get the answer, you divide by the number multiplied.

Answer:

4+6p ≥ 40

or simplified : 6p ≥ 36

She needs at least 6 packs.

Step-by-step explanation:

The amount of patties she has needs to be greater than 40, and she already has 4 in her freezer. So these 4 added to how many she buys at the store (which come in packs of 6) have to be greater than 40.

Divide 6 on both sides using the simplified version,  p ≥ 6.

The function f is increasing for x > 3/2.

To determine the values of x for which the function f is increasing, we need to find the critical points of f, which are the values of x where the function changes from increasing to decreasing or vice versa.

The first step is to find the derivative of f:

f'(x) = (2x - 3)e-x

Next, we need to find the critical points by setting f'(x) = 0 and solving for x:

(2x - 3)e-x = 0

2x - 3 = 0

x = 3/2

This is the only critical point of f. To determine the behavior of f near this critical point, we need to find the second derivative of f:

f''(x) = (2 - 3e-x)

For x < 3/2, f''(x) < 0, which means f is concave down and f'(x) is decreasing. This means that f is decreasing for x < 3/2.

For x > 3/2, f''(x) > 0, which means f is concave up and f'(x) is increasing. This means that f is increasing for x > 3/2.

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Answer:

30.3 cm

Step-by-step explanation:

Suppose the height is h after the sphere is full submerged.

4/3\(\pi\)R³ = \(\pi\)r²(h-30) The volume of the sphere is equal to the volume

4/3\(\pi x\)(10/2)³=\(\pi\) × (14/2)²(h-30)  of the water surface rising

4/3 × 125 = 49 × (h-30)

h - 30 = 49 × 3/4 × 125

h - 30 = 0.3

h = 30 + 0.3

h = 30.3 cm

=======================================================

Explanation:

The triangles are similar, allowing us to form a proportion

The vertical sides pair up on one side, the horizontal sides pair up on the other side. Divide in the same order.

QV/RT = VS/TS

5/3 = x/12

12*5 = 3x ... cross multiply

60 = 3x

3x = 60

x = 60/3

x = 20

VS = 20

Answer:

54w²

Step-by-step explanation:

42w² + 15w²-3w²

42w²+ 15w²= 57w²

57w²-3w²= 54w²