Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 10% are pennies and 38% are dimes. There are 2 more nickels than pennies. How much
money does the bag contain?

Answer:

CCCC.

Step-by-step explanation:

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

Tommy, 7/11 miles

Step-by-step explanation:

5/8 equals .625, 4/7 equals .571, 7/11 equals .636. Therefore, Mya ran the farthest

Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Answer:

1110 BUGS

Step-by-step explanation:

100%=888 BUGS

125%=X

125% X 888 BUGS=111000/100=1110

Answer: the spider eat  1110 bugs this month.

Step-by-step explanation:

multiply 888 * 25%   to find the increase amount of bugs that the spider ate this month.

888 * 25% = 222

Now add 222 to the number of bugs the spider ate last month

888 + 222 = 1110

Answer:

5%

Step-by-step explanation:

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 7000 × 0.05 × 6 = 2100

I = $ 2,100.00

The simple interest accumulated

on a principal of $ 7,000.00

at a rate of 5% per year

for 6 years is $ 2,100.00.

So, the correct answer number is (2) -6 and so the addition result in 0.

Division is a fine operation that involves unyoking a volume into equal corridor. It's one of the four introductory computation operations, along with addition, deduction, and addition.

To estimate the expression 0 × 1- 61, we need to follow the order of operations, which is hiatuses, expounders, addition and division (from left to right), and eventually addition and deduction (from left to right).

In this case, there are no hiatuses or expounders, so we move on to addition and division. still, there's only one term to multiply, which is 0, so the addition results in 0.

Which is equal to -61.

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Answer:

8(9).894 is the correct answer

Answer:

\(f(x) = 3 {x}^{2} + 5x - 8\)

\(f(x + h) = 3 ({x + h})^{2} + 5(x + h) \\ = {3x}^{2} + {3h}^{2} + 6xh + 5x + 5h - 8 \\ \)

answer will be 6x+5

The length of FG is approximately 15.3 cm.

To calculate the length of FG using Pythagoras' theorem, we need to find the length of the hypotenuse (FG) of a right triangle. Let's denote the length of FG as x.

According to Pythagoras' theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

\(FG^2 = GH^2 + FH^2\)

Given that GH = 8 cm and FH = 13 cm, we can substitute these values into the equation:

\(x^2 = 8^2 + 13^2\)

\(x^2 = 64 + 169\)

\(x^2\) = 233

To find x, we take the square root of both sides:

x = √233 ≈ 15.26 cm (rounded to 1 decimal place)

Therefore, the length of FG is approximately 15.3 cm.

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Answer:

9.6

Step-by-step explanation:

When we are adding decimals we try 2 add them like normal integers, but in the end we add the decimal in the same place as it was in the beginning

so 62+34=96 and there's a decimal in the tenths place so its 9.6

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Answer:

\(Probability = \frac{70}{143}\)

Step-by-step explanation:

Given

\(Black = 5\)

\(Red = 8\)

\(Total = 13\)

To solve the required probability, we need to determine the number of available selections:

There are two possible scenarios;

1: All 4 selections are red.

2. 1 selection is black, while 3 others are red

Scenario 1: All Red

\(^8C_4 = \frac{8!}{(8-4)!4!}\)

\(^8C_4 = \frac{8!}{4!4!}\)

\(^8C_4 = \frac{8*7*6*5*4!}{4!4!}\)

\(^8C_4 = \frac{8*7*6*5}{4!}\)

\(^8C_4 = \frac{8*7*6*5}{4*3*2*1}\)

\(^8C_4 = \frac{1680}{24}\)

\(^8C_4 = 70\)

Scenario 2: 1 Black, 3 Red

Selecting Black:

\(^5C_1 = \frac{5!}{(5-1)!1!}\)

\(^5C_1 = \frac{5!}{4!1!}\)

\(^5C_1 = \frac{5*4!}{4!*1}\)

\(^5C_1 = 5\)

Selecting Red:

\(^8C_3 = \frac{8!}{(8-3)!3!}\)

\(^8C_3 = \frac{8!}{5!3!}\)

\(^8C_3 = \frac{8*7*6*5!}{5!3*2*1}\)

\(^8C_3 = \frac{8*7*6}{6}\)

\(^8C_3 = 8*7\)

\(^8C_3 = 56\)

Number of Selection = 5 * 56

\(Selection = 280\)

Total Available Selection is calculated as thus:

\(Available\ Selection = 70 + 280\)

\(Available\ Selection= 350\)

Next, is to calculate the number of possible selections:

i.e 4 balls out of 13

This is calculated as:

\(^{13}C_4 = \frac{13!}{(13-4)!4!}\)

\(^{13}C_4 = \frac{13!}{9!4!}\)

\(^{13}C_4 = \frac{13 * 12 * 11 * 10 * 9!}{9!4*3*2*1}\)

\(^{13}C_4 = \frac{13 * 12 * 11 * 10}{4*3*2*1}\)

\(^{13}C_4 = \frac{17160}{24}\)

\(^{13}C_4 = 715\)

\(Probability = \frac{Available\ Selection}{Possible\ Selection}\)

\(Probability = \frac{350}{715}\)

\(Probability = \frac{70}{143}\)

Answer:

where is the square at I cannot see it

Answer:

8.5

Step-by-step explanation:

When you write out the data set, it looks like this:

5, 8, 8, 8, 8, 9, 9, 9, 10, 10

The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)

Answer:

The median is 8.5

Step-by-step explanation:

The median is the middle number in a data set. For example, if you had a data set:

2, 2, 3, 4, 4

You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.

However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.

For example, if the final two numbers were:

2, 6

You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.

In this set, we have

5, 8, 8, 8, 8, 9, 9, 9, 10, 10.

The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.

Answer:

Correct option is

D

(0, 0)

Form the graph, we can see that solution is (0,0).

or

The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.

From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).

Answer:

Step-by-step explanation:

At the point of intersection, x+3 = 3x-3

6=2x

x = 3

y = x+3 = 6

Answer:

Step-by-step explanation:

Product means multiply.

-300

Answer:

Step-by-step explanation:

9.05737

The length of the radius of the cone to the nearest foot is 5 feet.

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

Given, The surface area of a cone is 216π sq units and the height of the cone is  (5/3) times of the radius.

∴ h = (5/3)r and we know l = √(h² + r²) ⇒ l = √{(25/9)r² + r²} ⇒ l = √{(34/9)r²}.

∴ πrl = 216π.

√{(34/9)r³ = 216.

1.9r³ = 216.

r³ = 113.7.

r = 4.8 feet Or 5 feet.

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Answer:

c) 1

Step-by-step explanation:

Solving for the value of s,

→ 3s - 12 = -9

→ 3s = -9 + 12

→ s = 3/3

→ [ s = 1 ]

Thus, option (c) is correct.

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The opposite sides of a square are parallel, therefore the given angles are equal by ( Alternate interior Angle pair )

\(\qquad \sf  \dashrightarrow \:4x + 5 = 2x + 25\)

\(\qquad \sf  \dashrightarrow \:4x - 2x = 25 - 5\)

\(\qquad \sf  \dashrightarrow \:2x = 20\)

\(\qquad \sf  \dashrightarrow \:x = 10\)

Hence, correct choice is B

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Answer:

Tenths

Hope this helps :)

Answer:

tenths

Step-by-step explanation:

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

It is 12

Step-by-step explanation:

Hope this helped have an amazing day!