Aidan has $25. He plans to save $7 each week. How many weeks does he need to work in order to have saved $130? Enter an equation that models the situation with w, the number of weeks

Answer:

-x3+x2+3x+1

Step-by-step explanation:

V(x) + W(x) = -x2 + 2x - 4 + -x3 + 2x2 + x + 5= -x3+x2+3x+1

Answer:

30 gallons

Step-by-step explanation:

You are replacing a water heater. Before installing the new water heater, you must drain the old water heater. You want to drain it ¾ of the way before having to remove it. If the water heater holds 40 gallons. How much water must you drain?

We are told from the question that you must drain the water 3/4 of the way

The water heater holds 40 gallons

Hence,

3/4 × 40 gallons = 30 gallons.

Hence , you must drain 30 gallons of the water in the water heater.

The statement "The equation ax=0 gives an explicit description of its solution set" is true.

When the equation ax=0 is given, the solution set is explicitly described as x = 0.

In other words, the only solution to the equation is x being equal to zero. This can be verified by dividing both sides of the equation by a (assuming a is non-zero), which yields x = 0/a = 0.

Therefore, the solution set is explicitly described as x = 0.

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She made 2/3 of the boxes already. She still needs 10 boxes to makes.

Since solution is: -

30/3 = 10

2/3 = 20

30 - 20 = 10

Therefore, the total no. of boxes she needs is 10.

A solution in mathematics is a value or set of values that satisfies a given equation, inequality, or problem. In other words, it is an answer to a mathematical question that meets the criteria stated in the question. Solutions can be numerical, such as the solution to 2x + 3 = 7 being x = 2, or they can be algebraic, such as the solution to x^2 + 2x + 1 = 0 being x = -1 and x = -1.

Solutions can also be expressed graphically, such as finding the points where a line intersects an axis in coordinate geometry. The process of finding solutions involves using mathematical tools such as algebraic manipulation, calculus, geometry, and more. The solution(s) to a problem can sometimes be determined analytically, meaning that a formula or closed-form expression is found. In other cases, numerical methods or computer algorithms may be used to approximate solutions.

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Complete Question: -

M. Lawrie is making 30 boxes of space food. She made 2/3 of the boxes already. How many boxes does he still need to make?

Answer:

-30

Step-by-step explanation:

hope this helps!❆

The correct answer is d. 56.

When computing a correlation coefficient, the degrees of freedom (df) is calculated as (n-2), where n is the sample size. In this case, we are given that df = 55.

Substituting df = 55 into the formula, we get:

55 = n - 2

Adding 2 to both sides, we get:

n = 57

Therefore, the sample size must be 57 in order to have 55 degrees of freedom when computing a correlation coefficient.
Hi! When computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57 (Option c).

Here's the step-by-step explanation:
1. Recall that the formula to find degrees of freedom (df) in correlation is df = n - 2, where n is the sample size.
2. In this case, the degrees of freedom is given as 55.
3. To find the sample size (n), you'll need to rearrange the formula: n = df + 2.
4. Substitute the given degrees of freedom into the formula: n = 55 + 2.
5. Solve for n: n = 57.

Therefore, when computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57.

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The equation of the line is y = 3x + 6

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 3

y-intercept, c = 6

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = mx + c

So, we have

y = 3x + 6

Hence. the linear equation is y = 3x + 6

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To calculate the forecast for the month of July using exponential smoothing and given a smoothing constant, we need the actual number of checks received in July. The information provided does not include the actual number of checks received in July, so we cannot determine the forecast using the given data.

To calculate the forecast for the month of July using exponential smoothing, we need the actual number of checks received in June (denoted as Yt), the forecast for June (denoted as Ft), and the smoothing constant (denoted as α).

Given:

- Number of checks received in June (Yt) = X million

- Forecast for June (Ft) = Y million

- Smoothing constant (α) = 0.2

We can use the exponential smoothing formula to calculate the forecast for July (Ft+1):

Ft+1 = α * Yt + (1 - α) * Ft

Substituting the given values:

Ft+1 = 0.2 * X + (1 - 0.2) * Y

Since the values for X and Y are not provided in the question, we cannot calculate the specific forecast for July. However, you can use this formula by substituting the actual number of checks received in June (X) and the forecast for June (Y) to find the forecast for July.

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Answer:

2

Step-by-step explanation:

The density of the drink is approximately 1.04 g/cm³.

Density is the ratio of mass and volume.

density = mass/volume

To work out the density of the drink, you will need to calculate the total mass of the drink and then divide it by the volume of the drink.

First, you can calculate the mass of the grape juice by multiplying the density of grape juice by the volume of grape juice:

Mass of grape juice = Density of grape juice x Volume of grape juice

= 1.07 g/cm³ * 35 cm³

= 37.45 grams

Then, you can calculate the mass of the fruit syrup in the same way:

Mass of fruit syrup = Density of fruit syrup x Volume of fruit syrup

= 1.6 g/cm³ x 25 cm³

= 40 grams

Finally, you can calculate the mass of the carbonated water in the same way:

Mass of carbonated water = Density of carbonated water x Volume of carbonated water

= 0.99 g/cm³ * 310 cm³

= 308.9 grams

To find the total mass of the drink, you can add the mass of the grape juice, the mass of the fruit syrup, and the mass of the carbonated water:

Total mass of drink = 37.45 grams + 40 grams + 308.9 grams

= 386.35 grams

To find the density of the drink, you can divide the total mass of the drink by the volume of the drink:

The density of drink = Total mass of drink / Volume of drink

= 386.35 grams / 370 cm³

= 1.04 g/cm³

Therefore, the density of the drink is approximately 1.04 g/cm³.

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The concentration of A 0.29M and Concentration B  0.755M  that the initial concentration of a is 1.0 moll−1 and that no b is present at the beginning of the reaction.

a A (g)⇔ b B (g)          k =2.4

when a= 1  and b= 1

                         A⇔B

initial                  1      0

concentration

change             -x       +x

equilibrium       1-x        x

concentration  

so, k = \(\frac{B}{A}\) = \(\frac{x}{1-x}\)= 2.4

x = 2.4 (1-x)

x = \(\frac{2.4}{3.4}\) = =0.755

The equilibrium concentration are

concentration of A  = 1-x = 1- 0.755 = 0.29M

Concentration B =  x = 0.755M

The first measured the concentration of the compound in the substance.

The best way to determine the rate constant k for a first-order half-life  is to determine the half-life using experimental data. This is because the first-order half-life is independent of the initial concentration of its initial value. So based on the above relationship, the half-life of a first-order reaction does not depend on the initial  concentration.

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The probability that all of the cards drawn are red is 0.0253.

A standard deck of playing cards has 52 cards.

Of the 52 cards, 26 of the cards are red cards.

When we draw the first card, the probability of getting red is 26/52.

When we draw the second card, the probability of getting red is 25/51.

When we draw the third card, the probability of getting red is 24/50.

When we draw the fourth card, the probability of getting red is 23/49.

When we draw the fifth card, the probability of getting red is 22/48.

Therefore, the probability of drawing 5 red cards without replacement is

= \(\frac{26}{52}* \frac{25}{51}* \frac{24}{50} *\frac{23}{49}* \frac{22}{48}\)

= 26*25*24*23*22/52*51*50*49*48

= 0.0253

Therefore, we have found that the probability that all cards drawn are red is 0.0253.

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Profit fall in one year = 116.8$

What is profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are several profit metrics that are frequently used.

Let cost price = C

And selling price before reducing = S

Profit for 1 day = S-C

Now, After reducing selling price to = S-0.32

Profit= S - 0.32 - C for 1 day

Profit fall by = (S-C)-(S - 0.32 - C)

                     = S - C - S + 0.32 + C

Profit fall by = 0.32 for 1 day

Profit fall by one year = 0.32×365

                                    = 116.8$

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Answer:

133

Step-by-step explanation:

56/4=14 and 70/5=14. 14 x 9 = 126

30 mins is half of an hour which means you need to divide 14 by 2 which gives you 7.

126 + 7 = 133

133 parts the machine can make in 9 hours, 30 minutes.

Two or more expressions with an Equal sign is called as Equation.

A machine can make 56 parts in 4 hours.

56=4x

A machine can also make 70 parts in 5 hours.

70=5x

Now we need to write an equation that relates the number of parts

the machine can make and the time in hours.

14=x

Now, we need to find parts the machine can make in 9 hours, 30 minutes.

14 x 9 = 126

As 30 minutes is half an hour, so divide 14 by 2 we get 7

126 + 7 = 133

Hence 133 parts the machine can make in 9 hours, 30 minutes.

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Answer:

20%

Step-by-step explanation:

120 / 150 = 0.8 or 80%, so the difference is 20%

The discount percentage is 20%.

Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:

Therefore, the discount percentage is 20%.

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Answers:

a) Function

b) Domain = {3, -4, -3}

You won't type in the curly braces for the domain, but it's common to use them to indicate we're talking about a set.

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

Explanation:

We have a function because each item in the domain (blue oval) goes to exactly one item in the range (green oval). We don't have two arrows or more originating from one item in the domain. So each input leads to exactly one output.

The domain is the set of allowed inputs. So the domain is the set {3, -4, -3}. Those items are found in the blue oval. As your teacher instructs, you won't be typing in the curly braces, but it's common to see the domain listed as a set like this. Optionally you can sort the items from smallest to largest, but it's not necessary. This is because order doesn't matter in a set.

Answer:

a.) Function

b.) 3, -4, -3

Step-by-step explanation:

hope this is right!

-Jules :)

\(x^{2} \sqrt{x} \neq \geq \leq\)Answer:

B

Step-by-step explanation:

Its so easy

Let's start by finding out how much money Keiko spent on coffee. She started with an $80 gift card and ended up with $43.15 left, so she spent:

$80 - $43.15 = $36.85

We also know that the coffee costs $7.37 per pound. Let's use "x" to represent the number of pounds of coffee Keiko bought. Then we can set up an equation:

$7.37x = $36.85

To solve for x, we can divide both sides by $7.37:

x = $36.85 ÷ $7.37

x = 5

So Keiko bought 5 pounds of coffee.

Answer:

45

Step-by-step explanation:

A number consists of 2 digits whose sum is 9 => x + y = 9

If the order of the numbers is inverted, the result is equal to the given number plus 9 units => (10*y + x) + 9 = (10*x + y)

Thus:

x + y = 9  => multiply by -9 => 9*y + 9*x = 81

10*y + x + 9 = 10*x + y =>  9*y - 9*x = -9

We are left then that:

9*y + 9*x = 81  (1)

9*y - 9*x = -9  (2)

we add both equations

18y = 72

y = 72/18 = 4

replacing

x + y = 9

x + 4 = 9

x = 5

Therefore the number is (10y + x) => (10 * 4 + 5) => 45

The probability that the team wins the match is 1/9.

Here the odds against winning are given to be 8 to 1. It is also said that they lose more than they win.

The above statement indicates that out of every 8 + 1

= 9 matches, the team has a probability of losing 8 matches and winning one match

Probability

= no. of observations for the favorable event / Total number of observations

Here we need to find the probability of winning.

Let A be the event that the team wins the match.

As we can see the total number of observations is 9 matches.

Therefore, n = 9

n(A) = 1

Hence, P(A)

= n(A)/n

= 1/9

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Answer:

Step-by-step explanation:

Initially, we can see that Alisha had $45 and she withdrew this amount

she later deposited $80 back, hence she has gained (80-45)= $35.

but her balance will read $80.

Given that she wrote a check for 250 dollars

then her account is on the loss of (250-80)= $170

she spent $55 will shopping

she is also going to run on the loss of =170+55

=$225

Then her total loss is $225

The distance between the two points (0,1) and (6,−7) is 10.

Distance can be defined as the length between two points.

To calculate the distance between the two points, we use the formula below.

Formula:

Where:

From the question,

Given:

Susbtitute these values into equation 1

Hence, the distance between the two points is 10.

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Answer:

problem 2

Step-by-step explanation:

The feeding time constraint for cats can be written symbolically as:

12 minutes/day * number of cats <= 8 hours/day

The feeding time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The pampering time constraint for cats can be written symbolically as:

16 minutes/day * number of cats <= 8 hours/day

The pampering time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

Answer:

i think ye

Step-by-step explanation:

because symmetry and wikepedia says yes

Answer:

1. 0.25T

2. 0.25n

3. T - 0.25T

4. T - 0.25n

5. 0.75n × 0.5

Step-by-step explanation:

1. The dollar amount the club would have if they reached one-fourth of their goal.

Since the goal is to raise T dollars

One-fourth of T = ¼ × T = 0.25T

2. The dollar amount the club would have if every student at the school donated a quarter to the cause.

Let the number of students in the school be n

Since there are n students in the school, amount raised = ¼ × n = 0.25n

3. The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter.

Since they reached their goal, the total amount they raised= T dollars

They gave a quarter of the total donation to a dog shelter = ¼T = 0.25T

Amount left to donate to the cat shelter =  T - 0.25T

4. The dollar amount the club would still need to raise to reach its goal after every student at the school donated a quarter.

Amount donated if every student donated a quarter = ¼n = 0.25n

Amount still needed = T - 0.25n

5. The dollar amount the club would have if three-fourths of the students at the school each gave 50 cents

Three-fourths of the students = ¾n = 0.75n

50 cents = 0.5 dollars

Amount raised if three-fourths of the students gave 50 cents = 0.75n × 0.5

Answer:

5400

Step-by-step explanation:

you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter

Initial amount , a = $50 .

Increase in price , d = $25 .

We need to find the recursive relation of the sequence .

If we notice it is an arithmetic progression with common difference $25 .

Which means that difference between any two consecutive term is 25 .

So , T(n) - T(n-1) = 25

T(n) = T(n-1) + 25 .

Hence , this is the required solution .

Answer:

b  Php 300,000

Step-by-step explanation:

You need to find the perimeter length of the garden.  The perimeter is found by adding all four side of the rectangle.

Perimeter = 600 + 300 + 600 + 300 = 1800 m

Use a ration to find the cost for 1800m of fence.

500         X

------  =  ---------     cross multiply to solve for x

3m       1800m

3x = 500 x 1800

3x = 900,000

x = 300,000

If we divide (1/3) liter of water into four equal cups each cup will (1/12) liter.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A bottle contains 1/3 liter of water.

Now, If we divide this (1/3) liters of water into 4 equal cups, Each cup will have (1/3)÷4 liters,

= (1/3)×(1/4) liters.

= (1/12) liters.

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