Plz help I’m confused^

There are two more quarters than dimes and as many nickels as dimes and quarters together. The total amount of money is 3. 75 dollars, then nickels dimes and quarters are there each, D =7 dimes , Q =  9 quarters, and N  =  16 nickels

tart by defining the variables for this problem :

Q : number of quarters

D : number of dimes

N : number of nickels

There are two more quarters than dimes so the equation :

Q = D+2

And as many nickels, as quarters and dimes together so the equation :

N = Q+ D

The total amount of money is $3.75  so the equation :

0.25Q + 0.10D + 0.05N =3.75

Solve the following system :

Q = D + 2 (I)

N = Q + D (II)

0.25Q + 0.10D + 0.05N =3.75(III)

In the equation (II)  find Q in terms of N and D :

N = Q + D (II)

Q = N - D (IV)

If  use (I) in (IV) :

Q = N - D

D + 2 = N - D

2D = N - 2

N = 2D + 2 (V)

If use (I) and (V) in (III)

0.25Q + 0.10D + 0.05N =3.75

(0.25) . (D + 2) + 0.10D + (0.05) . (2D + 2) = 3.75

0.25D +0.50 + 0.10D + 0.1D + 0.1 = 3.75

0.45D = 3.75

D = 3.75/ 0.45

D = 7

if D = 7 -----------replacing in (I)

Q = D + 2

Q = 7 + 2

Q   = 9

If  replace this values in (II)

N = Q + D

N = 9 + 7

N = 16

there are D =7 dimes,

                 Q =  9 quarters

                  N  =  16 nickels

To learn more about Dollars visit:

brainly.com/question/28547396

#SPJ4

Answer:

The missing angle is 40 degrees

Step-by-step explanation:

Tan = opposite / adjacent

Tan ? = 24 / 29

24 / 29 = 0.8275

Tan-1 of 0.8275 is 39.610

Round to the nearest degree

39.610 = 40

Answer:

Step-by-step explanation:

Here you have a right triangle with the side lengths 24 and 29 and are asked to find the measure of the smallest angle.

In cases like this you should ask yourself which trig function includes the lengths of the legs (that is, the lengths of the side opposite the angle and the side adjacent to the angle).  That would be the tangent function, and so:

tan (?) = (opposite side) / (adjacent side)

Here, tan x = 24/29 = 0.691.  Note:  I used my TI-83Plus calculator to determine that the measure of angle x in radians is 0.691.

The unknown angle is 0.691 radians, or (multiplying that by the conversion factor (180/pi) ) 39.6 degrees.  To the nearest degree, that'd be 40 degrees.

Answer:

(2b+ 5) (4x-3y)

Step-by-step explanation:

8bx -15ay-6by +20ax

2b (4x -3y) +5 (4x-3y)

(2b+ 5) (4x-3y)

Answer:

2.41 and 2.50

Step-by-step explanation:

Here, we shall be selecting the correct answer from the option.

a. A is correct

the number we want is between 2.4 and 2.8

2.5 is greater than 2.4 but less than 2.5, this means it meets our criteria

b. 2.41 is also correct

This is because it is greater than 2.4 but less then 2.8

c. wrong

2.4 is same as 2.4, it does not meet the criterion

d. wrong

the value is far lesser than 2.4

Answer:

Answer: B

Step-by-step explanation:

does not show up on graph

Answer:

7/8

Step-by-step explanation:

Answer:

Time

Step-by-step explanation:

Answer:

\(x^3-8 = \left(x-2\right)\left(x^2+2x+4\right)\)

\(x^3+\:8 = \left(x+2\right)\left(x^2-2x+4\right)\)

Step-by-step explanation:

The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.

An algebraic expression having variables and coefficients is known as a polynomial expression. What they are called are unknown variables. We can employ mathematical operations like addition, subtraction, and others. A variable, however, cannot be divided.

The expression is given below.

8x³ + 1 and 8x³ - 1³

(2x)³ + 1³ and (2x)³ - 1³

We know that the formula is given as,

a³ + b³ = (a + b) (a² – ab + b²)

a³ – b³ = (a – b) (a² + ab + b²)

Then the expression is written as,

(2x)³ + 1³ = (2x + 1) [(2x)² – 2x + 1²]

(2x)³ + 1³ = (2x + 1) (4x² – 2x + 1)

(2x)³ – 1³ = (2x – 1) [(2x)² + 2x + 1²]

(2x)³ – 1³ = (2x – 1) (4x² + 2x + 1)

The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.

Read more about polynomials here:

https://brainly.com/question/24662212

#SPJ1

Answer:

x = - 1

Step-by-step explanation:

3(x - 3)= - 12

3x - 9 = - 12

3x - 9 + 9 = - 12 + 9

3x = - 3

3x ÷ 3 = - 3 ÷ 3

x = - 1

The ESE (estimated standard error) in the bottom of the independent-measure t statistic measures the variability in the sample data used to calculate the t statistic and provides information on the precision of the t statistic.

The t statistic is used to compare the difference between two means from independent groups to determine if the difference is significant or not.

The ESE reflects the degree of uncertainty in the difference between the two sample means and is calculated as the standard deviation of the sampling distribution of the difference between the two sample means. The ESE is an estimate of the standard deviation of the population difference and is used to calculate the t statistic.

The ESE is an important measure because it provides information on the precision of the t statistic, which is used to make inferences about the population difference. If the ESE is large, it means that the sample difference is less precise and the t statistic is less significant. If the ESE is small, it means that the sample difference is more precise and the t statistic is more significant.

To know more about estimated standard error click here:

https://brainly.com/question/15063024#

#SPJ11

Answer:

5.4

Step-by-step explanation:

Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)

Step 2: Divide the length you took from PQRS by the length you took from ABCD.

Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8

Therefore, x = 5.4.

Answer:

5.4

Step-by-step explanation:

Look at photo for explanation

Answer:

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 3in, 7in

Height of the trapezium = 5in

Therefore,

Area of the trapezium

\( = \frac{1}{2} \times sum \: of \: parallel \: sides \times height\)

\( = \frac{1}{2} \times (7 + 3)in \times 5in\)

\( = \frac{1}{2} \times 10in \times 5in\)

= 5in × 5in

\( = {25in}^{2} \)

Hence,

Area if the trapezium is 25 square inches (Ans)

The relationship called between angle 3 and angle 6 is: alternate interior angles.

Alternate interior angles are pairs of angles that are formed when a straight line (known as a transversal) crosses two parallel lines. The angles are on opposite sides of the transversal, and are located between the two parallel lines. These angles are equal in measure.

Thus, angle 3 and angle 6 are the exact definition of the angle relationship that is defined above as shown in the image. Therefore, the relationship is: alternate interior angles.

Learn more about alternate interior angles on:

https://brainly.com/question/24839702

#SPJ1

In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

To learn more about independent event visit:

brainly.com/question/32716243

#SPJ11

Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

A. On the sixth day, the plant grows to 64 times its original height.

B. On the nth day, the plant would  \(2^n\) time its original height.

A. From the given condition we can that the growth of the plant shows a geometric progression with a first term of 2 and a common ratio of 2.

On the first day, the plant grows to \(2^1\) = 2 times its original height.

On the second day, the plant grows to \(2^2\) = 4 times its original height.

Similarly, on the sixth day, the plant grows to \(2^6\) = 64 times its original height.

B. The nth term of the progression can be calculated by multiplying the first term by the common ratio raised to the power of n-1.

In this case, the first term is 2 and the common ratio is 2. So the nth term is \(2 * 2^{n-1} = 2^n\)

Hence, on the nth day, the plant grows to \(2^n\) times its original height.

Read about geometric progression:

brainly.com/question/15978376

#SPJ4

Answer:

option 3)

14% approx

Step-by-step explanation:

Given data

Initial= $18.00

final =$20.50

% increase= final - initial/initia *100

% increase= 20.50-18.0/18*100

% increase=2.5/18*100

% increase=0.138*100

% increase=13.8%

Hence the increase is 13.8%

=14% approx

Answer:

56.16

Step-by-step explanation: All you do is just multiply

Answer:

$1.67

Step-by-step explanation:

Given it's $1.12 for 12 eggs, we divide 1.12 by 12 to see how much it cost for 1 egg

1.12/12 = 0.093

so 0.093 cents for 1 egg

0.093x18 eggs = 1.674 = $1.67

Hope this helps, have a nice day :)

If f(θ) = a cos(bθ), then from the first condition we find

f(0) = 3   ⇒   a cos(0) = 3   ⇒   a = 3

Together with the other conditions, it's evident that f(θ) has a period of π, so

2π/b = π   ⇒   b = 2

so that

f(θ) = 3 cos(2θ)

4 hours for 18

7 hours for 25.50

Difference in hours: 7-4 = 3

Difference in cost: 25.50 - 18 = 7.50

7.50 / 3 = 2.50

A. They charge 2.50 per hour.

B. 2.50 x 4 = 10

18 - 10 = 8

The flat fee is 8 dollars

C. 8 + (2 x 2.50) = 13 dollars

As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

To know more about coordinate plane , visit

brainly.com/question/28471473

#SPJ1

The statement "We cannot make a direct comparison between fit l and fit 2 by looking at AlCc" is incorrect because AICc is used to make a direct comparison between models.

According to the given information, the variables of interest are the wage, which is real weekly wages in dollars, and educ, which refers to years of education. The sample consists of weekly wages for 2000 US male workers taken from the Current Population Survey in 1988. The models fit1 and fit2 are fitted using the data from uswages, and we are required to determine the correct statement based on AICc (fit1, fit2).Answer: The lowest AICc is reported for fit2. Hence fit2 is better than fit1.Akaike information criterion (AIC) and AIC corrected (AICc) are used to measure the quality of fit of a statistical model. The best model is the one with the smallest AIC or AICc value. Therefore, the lowest AICc value is associated with the best model. Since the question's models are fit1 and fit2, the statement that the lowest AICc is reported for fit2 is correct. Hence, fit2 is better than fit1.The model's log-likelihood is used to calculate the AIC and AICc. AIC is defined as AIC = 2k - 2ln(L), where k is the number of parameters in the model and L is the likelihood. AICc adjusts AIC for small sample sizes and is defined as AICc = AIC + (2k^2 + 2k)/(n - k - 1), where n is the sample size.

We cannot compare the AICc values of models with different sample sizes using AICc, but we can compare the AIC values. However, the AICc is the most reliable criterion for small sample sizes. Therefore, the statement "As the sample size is large, we need to use AIC instead of AICc" is incorrect. Additionally, the statement "The likelihood for fit 2 is smaller than fit l" is incorrect because AIC does not depend on the likelihood. Finally, the statement "We cannot make a direct comparison between fit l and fit 2 by looking at AlCc" is incorrect because AICc is used to make a direct comparison between models.

Learn more about direct comparison here:

https://brainly.com/question/30761693

#SPJ11

(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

Miguel buys a dozen (12) bagels for $9.99. How much money did he spend on each bagel?

Answer:.83

Answer:

x=4

y=-2

z=1

Step-by-step explanation:

x+y+z=3

-x+3y+2z=-8

x=4z

so

4z+y+z=3,

y+5z=3

y=3-5z

-4z+3y+2z=-8

3y-2z=-8

3(3-5z)-2z=-8

9-15z-2z=-8

-17z=-8-9

-17z=-17

z=1

x=4z=4×1=4

y=3-5z=3-5×1=3-5=-2

The required sample size is determined by finding the z-score that corresponds to a 90% confidence interval and then using that z-score to calculate the sample size. In this case, the z-score is 2.24 and the sample size is 467.

In order to determine the required sample size to be 90% certain that we are within 4 IQ points of the true mean, we must first calculate the z-score that corresponds to a 90% confidence interval. This z-score is calculated by subtracting the lower bound of the interval from the mean, and then dividing this difference by the standard deviation. In this case, the z-score is 2.24. We then use this z-score to calculate the required sample size, which is calculated by taking the z-score, squaring it, and then multiplying it by the sample variance. In this case, the sample size is 467. This means that we need at least 467 samples in order to be 90% certain that we are within 4 IQ points of the true mean.

Learn more about sample size here

https://brainly.com/question/25894237

#SPJ4

Answer:

14x^3 LCD

(35x+4) / 14x^3

Step-by-step explanation:

5 /2x^2  + 2 / 7x^3

We need to find the least common denominator

2x^2  =2 *x*x

7x^2 = 7*x*x*x

x*x is common so we need to multiply that by 2*7*x

The least common denominator is 2*7*x*x*x = 14 x^3

To add the two, multiply to get the common denominator)

5/2x^2 * (7x/7x) +  2/7x^3 *(2/2)

35x/14x^3 + 4/14x^3

(35x+4) / 14x^3

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

To learn more about the binomial expansion visit:

https://brainly.com/question/31363254.

#SPJ2

The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes

To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.

Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.

Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax.  Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.

Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows.  If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.

Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,

CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080.  NPV ≈ $824,179.  Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.

Therefore, the answers are:

a. Total outflows: $2,007,901

b. Total inflows: $827,080

c. Net present value: $824,179

d. Should the old issue be refunded with new debt? Yes

To learn more about tax, click here: brainly.com/question/31857425

#SPJ11

Using a system of equations, it is found that she bought:

To find how many bags of each candy she bought, we have to solve a system of equations, in which the variables are given as follows:

She bought three more bags of Reese's than lollipops, hence the first equation is:

y = x + 3.

She bought two fewer bags of Starbursts than lollipops, hence the second equation is:

z = x - 2.

Bags of lollipops cost $3.75 each, bags of Reese's cost $5.50 each and bags of Starbursts cost $4.25 each. She spent a total of $48.50, hence the third equation is:

3.75x + 5.5y + 4.25z = 48.50.

We have the variables y and z as a function of x, hence we can replace them into the third equation and solve for x as follows:

3.75x + 5.5(x + 3) + 4.25(x - 2) = 48.50

13.50x + 8.50 = 48.5.

13.50x = 40.50.

x = 40.50/13.50.

x = 3. (number of lollipops bags).

Hence the number of Reese's bags is:

y = x + 3 = 3 + 3 = 6.

The number of Starbursts bags is:

z = x - 2 = 3 - 2 = 1.

The problems asks for the number of bags of each candy that was purchased.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1