Helppp!!!! please!!!

Answer:

She found 19 pennies and 21 dimes

Step-by-step explanation:

Let the number of dimes present be d and the number of pennies present be p

From the question, the total of both is 40

Mathematically;

p + d = 40 •••••••(i)

While a penny worths 1 cent, a dime is worth 10 cents

Total penny amount would be 1 * p = p cents

While total dime amount would be 10 * d = 10d cents

Before we add both to give the total amount, let’s convert this total amount to cents and that would be 2.29 * 100 = 229 cents

So mathematically;

p + 10d = 229 •••••••(ii)

So let’s solve both equations simultaneously

From i) p = 40 - d

let’s put this into equation ii

40 - d + 10d = 229

40 + 9d = 229

9d = 229-40

9d = 189

d = 189/9

d = 21

Recall;

P = 40-d

P = 40-21

P = 19

Answer:

c. x = 27

Step-by-step explanation:

-11 + 1/3 x + 9 = 7

1/3 x - 2 = 7

1/3 x = 9

x = 27

Answer:

33.33%

Step-by-step explanation:

The percentage was a decrease.

Let the percent be x.

60 × (1 - x%) = 40

60 × (1 - x/100) = 40

1 - x/100 = 40/60

-x/100 = 40/60 - 1

-x/100 = -1/3

x/100 = 1/3

x = 1/3 × 100

x = 33.33333

Answer:

N = 43.2

F = 129.6

Total books = F + N = 129.6 + 43.2 = 172.8

Please note that number of books cannot be in fraction, there is some mistake in formulating the question!

But nevertheless, the key concept here is to learn how to set up such algebraic equations.

Step-by-step explanation:

Let F denotes fiction book

Let N denotes non-fiction book

There are 3 times as many fiction books as non-fiction in a library.

Mathematically,

F = 3N          eq. 1

120 fiction books are loaned out and 24 non-fiction books

Mathematically,

F - 120 = remaining fiction books  

N - 24 =  remaining non-fiction books  

There are now twice as many fiction books as non-fiction.

Mathematically,

2(remaining fiction books) = (remaining non-fiction books)

2(F - 120) = (N - 24)         eq. 2

Substitute eq. 1 into eq. 2

2(3N - 120) = (N - 24)

Simplify the equation,

6N - 240 = N - 24

6N - N = 240 - 24

5N = 216

N = 216/5

N = 43.2

Please note that number of books cannot be in fraction, there is some mistake in formulating the question!

But nevertheless, the key concept here is to learn how to set up such algebraic equations.

So back to the problem.

F = 3N

F = 3(43.2)

F = 129.6

So the total books in the library are

Total books = fiction + non-fiction

Total books = F + N = 129.6 + 43.2 = 172.8

Answer:

F=3N

F-120 = Remaining fiction

N-24 = remaining Non fiction

F=2N

2(F-120)=N-24

2(2N-120)=N-24

4N-240 = N-24

3N=216

N=72

from Eq 1

F=3N

F=3(72)

F=216

total = F+N

total = 216 + 72

total = 288

Step-by-step explanation:

Answer:

w+3=14

Step-by-step explanation:

The length is 3 more than the width, and more can be expressed as a plus sign, so w+3=14.

Answer:

Cylinders have two circular bases

Cones have one circular base

The lateral area of a cylinder is related to circumference of the circular bases.

Step-by-step explanation:

In Determining the statements that characterize cylinders and cones. All that apply in this context are :

1) Cylinders have two circular bases

2) Cones have one circular base

3) The lateral area of a cylinder is related to circumference of the circular bases.

Furthermore, in a general context, A cylinder has traditionally been or comprises of a three-dimensional solid, one of the most basic of curvilinear geometric shapes or curves. It is the idealized version of a solid physical tin can which processed lids on top and bottom. While a cone is a three-dimensional geometric shape or a set of line segment that taper smoothly from a flat base (though not necessarily, but mostly circular) to a point called the vertex.

Answer:

a b and e

Step-by-step explanation:

Answer:

Variance for a total of 150 games is 20.67

Step-by-step explanation:

If x follows binomial distribution with parameters n and p then the probability distribution of  [tex]\frac{x-np}{\sqrt{npq}}[/tex] tends to N (0.1)

As [tex]n\rightarrow \infty[/tex] where E(x)= np,  var (x) = npq

[tex]\therefore[/tex] var (x) = 150[tex]\times[/tex]0.165 [tex]\times[/tex] (1-0.165)      

(since, n= 150, p=0.165,

q = 1-p = 1-0.165)

= 20.66625

var (x) = 20.67

[tex]\therefore\\[/tex] variance for a total of 150 games is 20.67

Given to us:

Mark uses the normal approximation of the binomial distribution to model the number of home runs. Therefore,

Probability, p=0.165;

Number of samples, n=150;

Chances of failure, q = 1-p = 1-0.165 = 0.835;

According to binomial distribution,

Variance, var(x) = npq;

var (x) = npq

           = 150 x 0.165 x 0.835

           =  20.66625

Hence, the variance for a total of 150 games is  20.66625.

To know more visit:

https://brainly.com/question/12734585

Answer:

59.65

Step-by-step explanation:

2 decimal places is to the hundredths place.

Answer: 59.65

Step-by-step explanation: When rounding a number to a given place, look at the next place y o the right. If that digit is 5 or more, "round up" by adding one to the given place.

If the number to the right is 4 or less, leave the given place "as is"

In this example, the hundredths place is 4, the place to the right has an 8. So you round up the 4 to a 5. You end up with 59.65

Answer:

correct choice is C  ( ,∞).

Step-by-step explanation:

A set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. In your  case, the set builder notation  {x l x > } means that the set consists of all elements that are greater than.

Consider number line. Plot the point as unfilled circle that goes after > sigh and shade the ray that goes from this point to the right. Then another way to represent this solution is

Answer:

c) (two-thirds, ∞)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6(2x-3)=-(x-9)+4x (Distributive property)

12x-18=-x+9+4x

12x-4x+x=9+18 (Collecting like terms)

9x=27 (Division)

x=3

Hope I am correct :)

Answer:

Option D is the correct option.

Step-by-step explanation:

6 ( 2x - 3 ) = - ( X - 9 ) + 4x

Distribute 6 through the parantheses

12x - 18 = - ( X - 9) + 4x

When there is a (-) in front of an expression in parantheses, change the sign of each term in the expression

12x - 18 = -x + 9 + 4x

Collect like terms

12x - 18 = 3x + 9

Move variable to Left hand side and change its sign

12x - 3x - 18 = 9

Move constant to Right hand side and change its sign

12x - 3x = 9 + 18

collect like term

9x = 9 + 18

Add the numbers

9x = 27

Divide both sides of the equation by 9

9x /9 = 27/ 9

Calculate

X = 3

Hope this helps....

Good luck on your assignment...

Answer:

61 seats.

Step-by-step explanation:

This is an example of an arithmetic sequence.

The formula for this is an = a + (n - 1)d

Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.

We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.

a19 = 25 + (19 - 1) * 2

a19 = 25 + 18 * 2

a19 = 25 + 36

a19 = 61

So, there are 61 seats in the 19th row.

Hope this helps!

Answer:

i think 61 i hope im right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

[tex] {( \frac{5}{2} )}^{x} + {( \frac{5}{2} )}^{x + 3} [/tex]

[tex] = {( \frac{5}{2}) }^{x} + {( \frac{5}{2}) }^{x} \times {( \frac{5}{2} )}^{3} [/tex]

[tex] = ( \frac{5}{2} ) ^{x} (1 + {( \frac{5}{2} )}^{3} [/tex]

[tex] = {( \frac{5}{2} )}^{x} (1 + \frac{125}{8} )[/tex]

[tex] = {( \frac{5}{2} )}^{x} ( \frac{1 \times 8 + 125}{8} )[/tex]

[tex] = {( \frac{5}{2}) }^{x} ( \frac{8 + 125}{8} )[/tex]

[tex] {( \frac{5}{2} )}^{x} ( \frac{133}{8} )[/tex]

Comparing with A • [tex] {( \frac{5}{2}) }^{x} [/tex]

A = [tex] \frac{133}{8} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

4

Step-by-step explanation:

There are 5 points. So there are 4 segments. The segments are the line between two points.

Answer:

20%

Step-by-step explanation:

25%+(35%)+(20%)=80%

100-80=20%

Answer:

(-1,6)

Step-by-step explanation:

y=-x+ 7

Let x = -1

y = -1+7

y = 6

Answer:

h = 2s

Step-by-step explanation:

Area of square is equal to the area of triangle in this question.

the area of the square is s²

the area of the triangle is [tex]\frac{1}{2}[/tex] *h*s

s²=  [tex]\frac{1}{2}[/tex] *h*s

s = [tex]\frac{1}{2}[/tex] *h

2s = h

hope that helps

Answer:

D. Neither.

Step-by-step explanation:

y = 7x + 2.

I am not sure what you want to find, but I assume you put the coordinates into the equation and find whether they fit.

A. (3, 15).

y = 7 * 3 - 2 = 21 - 2 = 19

y is not equal to 19, so A does not work.

B. (-1, -10).

y = 7 * -1 -2 = -7 - 2 = -9

y is not equal to -9, either, so B does not work.

C. A combination of the two coordinates, which we know do not work.

D. Neither. Neither of the coordinates work, so this is the answer.

Hope this helps!

Answer:

neither

Step-by-step explanation:

y=7x-2    for (3,15)

y=7(3)-2

y=19 not solution

(-1.10)

y=-7-2=-9 not a solution

Answer:

7.5

Step-by-step explanation:

given:

3/4 = x/10    (multiply both sides by 10)

(3/4)(10) = x

x = 30/4

x = 7.5

The value of x is 7.5

Given:

The proportion 3/4 = x/10

3/4 = x/10

30 = 4x

30/4 = x

7.5 = x

Therefore, the final answer is 7.5.

Learn more about proportion here:

https://brainly.com/question/31152348

#SPJ4

Answer:

djal3924+3820&282039392#283830818385

Answer:

f(x) = * 6

Step-by-step explanation:

Since the pattern goes : 1/6, 1, 6, 36, 216, 1,296 you can see a pattern that results with multiplying every number with 6.

1/6 * 6 = 1

1 * 6 = 6

6 * 6 = 36

36 * 6 = 216

216 * 6 = 1296

Answer:

4021 cm^3

Step-by-step explanation:

The volume of a cylinder can be found using the following formula.

[tex]V=\pi r^2h[/tex]

where r is the radius and h is the height.

We know the cylinder has a height of 20 centimeters and a diameter of 8 centimeters.

h= 20 cm

d= 8 cm

Substitute these values into the formula.

[tex]V=\pi (8 cm^2) * 20 cm[/tex]

First, evaluate the exponent.

8 cm^2= 8 cm * 8 cm= 64 cm

[tex]V=\pi * 64 cm^2*20 cm[/tex]

Multiply 64 cm^2 and 20 cm

[tex]V=\pi *1280 cm^3[/tex]

Multiply 1280 cm^3 and pi

[tex]V=4021.2386 cm^3[/tex]

Round to the nearest cubic centimeter. The 2 in the tenth place tells us to leave the number as is.

[tex]V= 4,021 cm^3[/tex]

The volume is about 4,021 centimeters^3.

The approximate volume of the tube is 1005 cm³.

A cylinder is a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

Given that a cardboard cylinder has a diameter of 8 centimeters and a height of 20 centimeters, we need to find the volume of the cylinder,

The volume of the cylinder = π × radius² × height

Radius = diameter / 2 = 8/2 = 4 cm

Therefore,

Volume = π × radius² × height

= 3.14 × 4² × 20

= 3.14 × 16 × 20

= 1004.8 ≈ 1005

Hence, the approximate volume of the tube is 1005 cm³.

Learn more about cylinder, click;

https://brainly.com/question/16177070

#SPJ5

Answer:

yes it can form an isosceles triangle. when you join these lines AC will be the base and BC andAB will be two equal sides of an isosceles triangle.

Answer:

True i think

Step-by-step explanation:

tell me if you got it right. (btw switch to chrome its faster)

Answer: 7.7 m

Step-by-step explanation:

Given that Neil's footstep is 56 cm long and his dad's is 70 cm long.

If their footsteps overlapped 11 times, this shows that the longer footstep will surely be 11 different steps since the difference between the two footsteps is not upto the half of the smaller one.

The distance between the two trees will be 70 cm × 11 = 770 cm

Convert centimeters to meter by dividing it by 100

770/100 = 7.7 meter.

Therefore, the distance between the two trees in metre is 7.7 m

Answer:

                x₁ = -3√2 ,   x₂ = 3√2  

Step-by-step explanation:

x² = 18     ⇔    x = √18    or   x= -√18

√18 = √[9•2] = √9•√2 = 3•√2 = 3√2

Answer:

x₁ = -3√2

x₂ = 3√2

Step-by-step explanation:

x² = 18

x ± 3√2

x = -3√2

x = 3√2

Hope this helped! :)

Answer:

x=80

Step-by-step explanation:

Answer:

$2.3

Step-by-step explanation:

6oranges=2.76$

5oranges=?

5×2.76/6.

=$2.3

Answer:

I can't make a table here but I will try my best to seperate the numbers in groups

4.5 -34.5   :   8,17,23,27,10,23,23,27,5,27

34.5 -64.5   :  61,46,42,46,35,46,46,42,46

64.5 -94.5   :   84,88,65,65,65,84

Step-by-step explanation:

In this question there are three categories of intervals and a set of numbers. Essentially, the question wants you to seperate the numbers within each category of interval. I could not make the table here, but it is basically laid out for you. As for the histogram, the question in and out of itself is very vague because there are many ways you can set up a histogram. The file below may not be what you're looking for but it is how I imagined it would be.

Answer:

B

Step-by-step explanation:

The y-intercept (or initial value) is 3 which means the coefficient of the exponential term is 3. The only answer choice that follows this is choice B.

Answer:

31.25 metres at t=1.5 seconds.

Step-by-step explanation:

The height, h metres, of a flare as a function of the time, t seconds, since the flare was fired from a boat, can be modeled by the function

[tex]h=-5t^2+15t+20[/tex]

We need to find the maximum height of the flare.

In the given quadratic function, the leading coefficient is negative it means the function represents the downward parabola.

Vertex of a downward parabola is the point of maxima.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(-\dfrac{b}{2a}, f(-\dfrac{b}{2a})\right)[/tex]

In the given function, a=-5, b=15, c=20. So,

[tex]-\dfrac{b}{2a}=-\dfrac{15}{2(-5)}=\dfrac{15}{10}=1.5[/tex]

Put x=1.5 in the given function.

[tex]h=-5(1.5)^2+15(1.5)+20[/tex]

[tex]h=31.25[/tex]

Therefore, the maximum height of the flare is 31.25 metres and t=1.5 seconds.