how many nickels equal $18.45? (show your work)

Answer:

Each gets $13.5

Step-by-step explanation:

135/10= 13.5  

Answer:

the area of the rectangle is 18 sq inches.

It generally means the length and width of the rectangle should be the multiples of 18.

There are 3 possible answers.

lenght=18/width=1 or length=1/width=18

lenght=2/width=9 or length=9/width=2

lenght=6/width=3 or length=3/width=6

Step-by-step explanation:

6 by 3

9 by 2

18 by 1

Answer:

No

Step-by-step explanation:

Say for example that x = 1, so 2 + 4 = 5 - 6 that doesn't work and most likely wont work with any other number.

No, the equation \(2x + 4 = 5x - 6\) is not a literal equation.

We have to given equation,

\(2x + 4 = 5x - 6\)

What is literal equation?

A literal equation is an equation which consists primarily of letters.

Or we can say that, literal equation are equation with two or more variables.

Now, here given equation is  \(2x + 4 = 5x - 6\)

Clearly in the above equation only one variable use ( x ), so it is not literal equation.

Another way,

Put x = 1 in above equation we get,

2 + 4 = 5 - 6

clearly it is doesn't work.

So given equation \(2x + 4 = 5x - 6\) is not a literal equation.

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Answer:

But the 2lbs.

Step-by-step explanation:

Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.

You're welcome.

Option B is a correct representation of the given number line,  -3.8 < 1.5, and is located to the left of 1.5.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.

Given a number line and two points marked on it,

-3.8 and 1.5

we find from the number line that -3.8 lie left to 1.5,

and the negative numbers are always less than the positive numbers,

so -3.8 is less than 1.5,

-3.8 < 1.5, and lie left to 1.5.

Hence, option B is correct.

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Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

\(y=3a^{\frac{x}{10}\)

\(y=a3^{\frac{x}{10}\)

Therefore the daily rate is given by \(3^{\frac{x}{10}\).

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For given study the hours of sleep per night is independent of the age.

Also, estimate of the percentages of individuals

                           Hours of sleep

Age       <6      6-6.9       7-7.9         ≥8         Total

≤ 39       38        60           75            67          240

≥ 40       36        57           73            94          260

Total      74        117         148          161        500

%       14.8%   23.4%     29.6%      32.2%

Let the null hypothesis H0 : Hours of sleep per night is independent of age

alternate hypothesis Ha : Hours of sleep per night is not independent of age

Expected frequencies :

E1: ((38+60+75+67)*(38+36))/500 = 35.52

E2: ((38+60+75+67)*(60+57))/500 = 56.16

E3: ((38+60+75+67)*(77+75))/500 = 72.96

E4: ((38+60+75+67)*(65+92))/500 = 75.36

E5: ((36+57+73+94)*(38+36))/500 = 38.48

E6: ((36+57+73+94)*(60+57))/500 = 60.84

E7: ((36+57+73+94)*(77+75))/500 = 79.04

E8: ((36+57+73+94)*(65+92))/500 = 81.64

Then performing the Chi-square independence test X²

X² = Σ[(f1-e1)²/e1 + (f2-e2)²/e2... (fn - en)²/en]

F1 to f8 = 38,60,75,67,36,57,73,94

X² = ((38-49.92)^2)/35.52 + ((60-56.16)^2)/56.16 + ((77-72.96)^2)/72.96 + ((65-75.36)^2)/75.36 + ((36-38.48)^2)/38.48 + ((57-60.84)^2)/60.84 + ((75-79.04)^2)/79.04 + ((92-81.64)^2)/81.64

X² = 4.00

α = 0.05

Reject H0, if p < α

df = (row - 1)*( column - 1)

df = (2 - 1)*(4-1)

   = 3

To find the p value from the X² square score at α = 0.05 and 3 degree of freedom

p = 0.261

Since, p > α ( 0.261 > 0.05) ; The result is not significant at α = 0.05 ; Hence we fail to reject the H0 (null hypothesis).

Now we need to estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more per night.

                          Hours of sleep

Age       <6      6-6.9       7-7.9         ≥8         Total

≤ 39       38        60           75            67          240

≥ 40       36        57           73            94          260

Total      74        117         148          161        500

%       14.8%   23.4%     29.6%      32.2%

Therefore, we can conclude that the hours of sleep per night is independent of the age.

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If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

The triangles are congruent if two sets of matching angles and the included sides are also congruent. This standard is called angle-side-angle (ASA). Angle-angle-side (AAS) is another criterion that takes into account the congruence of two pairs of angles as well as the non-included side.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.

The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.

Hence, The triangles are congruent if two sets of matching angles and the included sides are also congruent. This standard is called angle-side-angle (ASA). Angle-angle-side (AAS) is another criterion that takes into account the congruence of two pairs of angles as well as the non-included side.

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Answer:

Okay the answers are in the pictures.

Step-by-step explanation:

Step-by-step explanation:

di ko gets send mo sakin pic sa messenger pinsan wait ko nalang

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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The value of c that makes z = 4 an extraneous solution is c = -1.

We need to find the value of c that makes z = 4 an extraneous solution, which means that 4 is not a valid solution of the original equation but appears to be one when substituted into the equation.

First, we substitute z = 4 into the equation:

√ (3/2 x + 10) = cz + 8

√ (3/2 x + 10) = c(4) + 8

√(16) = 4c + 8

4 = 4c + 8

4c = -4

c = -1

Therefore, the value of c that makes z = 4 an extraneous solution is c = -1.

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The value of the probability is P(Large or Blue) = 7/10

The given parameters are represented on the table

Using the table parameters, we have

P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total

This gives

P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)

This gives

P(Large or Blue) = 28/40

Simplify

P(Large or Blue) = 7/10

Hence, the value of the probability is P(Large or Blue) = 7/10

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Answer:

A. 15x > 45

Step-by-step explanation:

cuz more than 45 hours a day.

The total number of different possible outcomes is 40.

Hannah is designing a new board game and is trying to figure out all the possible outcomes. Hannah spins a spinner with five equal-sized sections labelled Monday, Tuesday, Wednesday, Thursday, and Friday. Hannah spins a spinner with four equal-sized sections labelled Red, Green, Blue, and Orange. Hannah also flips a coin at the end.

The number of possible outcomes for the first spinner is 5.

The number of possible outcomes for the second spinner is 4.

The number of possible outcomes from flipping the coin is 2.

The total number of different possible outcomes is the product of all the possibilities.

N = 5*4*2

N = 40

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The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.

The length is the quantitative measurement of a distance from one point to another position.

Length can also refer to the size of an object that has width or/and height.

The square of 2,200m² = 46.9 meters (√2,200)

The square of 2,400m² = 48.99 meters (√2,400)

The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.

Thus, the possible value of the side length of the plot of land is A. 48 meters.

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A. 48 meters

B. 46 meters

C. 44 meters

D. 50 meters

Answer:

A.  1/(x + 8) + 5.

Step-by-step explanation:

Staring with 1/x a shift up of 5 units makes it 1/x + 5.

A shift of 8 to the left makes it 1/(x + 8) + 5

Given the equation of the circle:

We will complete the squares for x and y to write the equation of the circle as:

Where (h,k) is the coordinates of the circle and r is the radius of the circle

so, the equation will be:

So, the radius of the circle = 4

And the center of the circle = ( -2, 6 )

Now, we will make the transformation for the circle:

Shift 1 unit up, the center will be = ( -2, 7 )

shift 2 units right, the center will be = ( 0, 7 )

Reflection across the x-axis, the center will be = ( 0, -7)

So, the equation of the circle after transformation will be:

So, the answer will be:

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

To graph the solution set to the given system of inequalities, we first need to graph the functions f(x) = x^2 - 2 and g(x) = -x^2 + 5.

The graph of f(x) is a parabola that opens upward and has its vertex at (0, -2). The graph of g(x) is also a parabola, but it opens downward and has its vertex at (0, 5). We can plot these two graphs on the same coordinate plane as follows:

[Insert image of two parabolas on a coordinate plane]

Next, we need to shade the regions of the graph that satisfy the given inequalities. The first inequality y > x^2 - 2 represents the region above the parabola f(x) but below the line y = infinity. The second inequality y ≥ -x^2 + 5 represents the region at or above the parabola g(x). The solution set is the intersection of these two regions.  

The shaded region represents all the points (x, y) that satisfy both inequalities, and therefore, the solution set to the system of inequalities.

The percentage of students at the college have a GPA between 2.3 and 3.3 is C. 68.26%.

How far is 2.3 from 2.8. This will be:

= (2.3-2.8) = -0.5

That means 2.3 is one standard deviation to the left of the mean.

How far is 3.3 from 2.8? This is (3.3-2.8) = 0.5

That means 3.3 is one standard deviation to the right of the mean.

According to the empirical rule 68% of normally distributed data is within 1 standard deviation of the mean.

Therefore, the correct option is C.

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At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?

a)84.13% b)99.74% c) 68.26% d) 95.44%

Each side of the cube is 10 in long.

Hi there !

volume cube formula

V = s³

1000in³ = s³

(10in)³ = s³

s = 10 in

Good luck !

Answer:

Each side of cube is 10 in long

Step-by-step explanation:

Hello

Volume of cube formula,

V = L^3

1000 = L^3

(10)^3 = L

L = 10

The correct answer is B. Readmitting states when 10 percent of the electorate took a loyalty oath.

Explanation:

The election of Abraham Lincoln as the President of the U.S. motivated states of the South to secede from the United States and began the Civil War, which was influenced by the slavery issue. In this context, one of the purposes of Lincoln was to end slavery and re-integrate states of the South.

This was possible only at the end of the Civil War. Moreover, the plan Lincoln implement was known as the Ten percent plan and involved the 10% of the people who could vote in a state (electorate) needed to take a loyalty oath or declare complete loyalty and support to the U.S. government for the state to be admitted in the U.S. again.

Answer:

The answer to your question is "B" and/or the second option "readmitting states when 10% of the electorate took a loyalty oath"...

Step-by-step explanation:

I already took the test and I got this question right! Hope this helps :)

Answer:

The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

Step-by-step explanation:

16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

We calculate sample mean and std deviation from given data.

Sample Mean, \($ {\overset{-}X} =\frac{\Sigma (X)}{n} $\)   =269.8/10=26.98

Sample Variance, \($s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$\)    =1859.496/9=206.610667

Sample std dev,s=\($\sqrt{s^2}$\)=√206.610667≈14.373958

We want to test two tailed hypothesis:

\($H_0$\) : σ=12

\($H_2$\) : σ≠12

Given: s=14.373958⇒ \($s^2$\) =206.610667,n=10

Significance level, a=0.1 Degrees of freedom, df=n-1=9

Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.

Critical values are given by \($ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $\)  with 9 degrees of freedom.

We can use chi-square table or following excel commands:

CHISQ. INV(0.95,9)=3.32511284307

CHISQ. INV (0.05,9)=16.9189776046

Critical Values, \($X_L^2$\)=3.325  and \($X_R^2$\)=16.919

Since this is two tailed test, the decision rule or rejection criteria is:

Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,

Reject \($H_0$\)   if \($x^2$\)≤3.325  OR \($x^2$\)≥16.919

Test statistic is given by \($X^2=\frac{(n-1)s^2}{\sigma^2}$\) =((9)*206.610667)/144=12.913167    

Test statistic, \($x^2$\)=12.913

since test statistic is between two critical values, we (do not reject \($H_0$\)) (i.e, we fail to reject \($H_0$\).

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .

Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject \($H_0$\) if p-value ≤0.1

P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9,  TRUE ) 1-CHISQ.DIST 12.913167,9,  TRUE ) =0.333149809868

P-value =0.3331

since p-value is greater than significance level (α),we (do not reject \($H_0$\)) (i.e, we fail to reject \($H_0$\)).

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .

Answer:

three

Step-by-step explanation:

o 13, 19, 7

The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation: