write the following comparison as a ratio reduced to lowest terms.


40 nickels to 50 dimes​

Step-by-step explanation:

5(4 - 2) + 1

= 5 * 2 + 1

= 10 + 1

= 11

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Answer:

the answer is b

Step-by-step explanation

Answer: Para encontrar el denominador que falta, podemos utilizar una regla de tres simple. En este caso, queremos encontrar el valor de la segunda fracción, por lo que podemos escribir:

2/7 = 10/x

Para despejar x, podemos multiplicar ambos lados de la ecuación por x y luego dividir por 2:

2/7 * x = 10

x = 10 * 7 / 2

x = 35

Por lo tanto, el denominador que falta en la segunda fracción es 35. La fracción completa es:

2/7 = 10/35

Step-by-step explanation:

francesca got home first i think

Answer:

Francesca got home first

Step-by-step explanation:

13 is less than 15

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Given:-

The side length of parallelogram is 5inch.

The base length of parallelogram is 8inch.

The height of parallelogram is 4inch.

To find:-

The area of the paralleogram.

Now the area of the paralleogram can be found eaily by multiplying its base value with its height.

So the area of the paralleogram is,

Substituting the values. we get,

So the area of paralleogram is 32 units square.

The minimum quantity that the factory must sell in order to obtain benefits is x is 3.

Assuming that the unit price and unit cost are known, in addition to the fixed costs, the following formulas are proposed to determine the minimum quantity number of units that the factory must sell in order to obtain benefits: Input, cost, total cost, benefit, and utility. This example illustrates these formulas.

Unities sold = x =?

Unitary selling price = \(S.(2x-2)\)

Unit cost is \(\frac{S}{(x+4)}\)

Fixed costs = \(\frac{S}{160}\)

Assumption: I(x) = p*x= x*

\((2x-2)\)

Total cost: C(x)=\(x*(x+4)+160\)

U(x) = \(x*(2x-2)-x*(x+4)+160\)

U(x) = \(2x^{2} -2x-x(4)+160\)

U(x)= \(x^{2} -6x+160\)

derived from and equal to zero:

U'(x)= \(2x-6=0\)

x = 3​.

Therefore, the minimum quantity that the factory must sell in order to obtain benefits is x is 3.

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Answer:

a

Step-by-step explanation:

Step-by-step explanation:

answer is A, please trust me if I'm right give me brainiest

The measure of angle B is given as follows:

m < B = 49.2º.

Two angles are said to be complementary angles when the sum of their measures is of 90º.

The measures are given as follows:

As the angles are complementary, the value of x is obtained as follows:

x + 21 + 4x - 30 = 90

5x - 9 = 90

5x = 99

x = 19.8.

Hence the measure of angle B is obtained as follows:

m < B = 4 x 19.8 - 30

m < B = 49.2º.

The measures are given as follows:

The angles are complementary, and it asks for the measure of angle B.

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Valid expressions include 0, 2, 2+30, 2+30*401, (2+30)*401/(23+0) and (((1+2)/3-4)*5+6)*7. Invalid expressions are 02, (2+30, 2+30*401+, (2+30)*401), -4, 2++3, (), 2*(), and ((((1+2)*3-4)*5+6)*7.

Valid strings are any nonnegative integers and the operations +, -, *, /, and parentheses to group terms. This means that any expression using these elements is valid, such as 0, 2, 2+30, 2+30*401, (2+30)*401/(23+0), and (((1+2)/3-4)*5+6)*7. Invalid expressions are any strings that do not include these elements, such as 02, (2+30, 2+30*401+, (2+30)*401), -4, 2++3, (), 2*(), and ((((1+2)*3-4)*5+6)*7. To determine whether an expression is valid, it is important to check if the elements used are ones that are allowed in the set of strings, and if parentheses are used correctly to group terms. If all of the elements and parentheses are valid, then the expression is valid.

The complete question: The set of strings that look like arithmetic expressions using nonnegative integers and the operations +, -, *, /, and parentheses to group terms.

For example, the following are properly formatted arithmetic expressions: 0, 2, 2+30, 2+30*401, (2+30)*401/(23+0), (((1+2)/3-4)*5+6)*7

The following are not: 02, (2+30, 2+30*401+, (2+30)*401), -4, 2++3, (), 2*(), ((((1+2)*3-4)*5+6)*7

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The probability that exactly 4 seeds out of 9 planted won't grow is 1.57%.

Let X be the number of seeds that don't grow.

X follows a binomial distribution with parameters n=9 and p=0.15 (the probability that a seed doesn't grow).

So, probability of exactly 4 seeds not growing is:

P(X=4) = \(9C4 * (0.15)^4 * (1-0.15)^5\)

P(X=4) = 70 * 0.00050625 * 0.4437053125

P(X=4) = 0.01572380701

P(X=4) = 1.57%

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Answer:

Step-by-step explanation: the y would be 50

Answer:

The x-intercepts are 0, 1, 2, 2.2

Step-by-step explanation:

Hope this helps if it answers your question

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12. For the first part we rotate 90° and reflect on the y-axis

Then we reflect on the x-axis

13. First we reflect on the y-axis, then we rotate 90° and finally we reflect on the x-axis

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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The value of c is a real solution to the equation \(4x^{2}-8x +c\) = 0 is 4

In algebra, a "real solution" is any answer to an equation that is a real number.

There is just one true solution where discriminant b2 - 4ac equals zero. The equation x2 + 2x + 1 = 0 has one solution, x = -1.

Depending on whether the discriminant is positive, zero, or negative, there are many answers to the quadratic equation that has been presented.

A positive discriminant indicates that the quadratic has two distinct real number solutions.

A discriminant of zero indicates that the quadratic equation has a repeating real number solution.

The quadratic equation given is

\(4x^{2}-8x +c\) = 0

For real solution

Discriminant = 0

\(b^{2}-4ac\) = 0

\(8^{2}-4(4)(c)\) = 0

64 - 16c = 0

-16c = -64

c = 4

The value of c is a real solution to the equation \(4x^{2}-8x +c\) = 0 is 4

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

The line on the graph is y = 4, where no matter what the value of x is, the value of y will always be 4. Therefore, any line parallel to this one will be y = ?. If it passes through (-4, -6), that means that the equation is y = -6.

Answer:

С)))) Y= -6

Step-by-step explanation:

just did on edg. :D

Answer:

Step-by-step explanation:

REcall that given a set A, * is a equivalence relation over A if

- for a in A, then a*a.

- for a,b in A. If a*b, then b*a.

- for a,b,c in A. If a*b and b*c then a*c.

Consider A the set of all ordered pairs of positive integers.

- Let (a,b) in A. Then a+b = a+b. So, by definition (a,b)R(a,b).

- Let (a,b), (c,d) in A and suppose that (a,b)R(c,d) . Then, by definition a+d = b+c. Since the + is commutative over the integers, this implies that d+a = c+b. Then (c,d)R(a,b).

- Let (a,b),(c,d), (e,f) in A and suppose that (a,b)R(c,d) and (c,d)R(e,f). Then

a+d = b+c, c+f = d+e.  We have that f = d+e-c. So a+f = a+d+e-c. From the first equation we find that a+d-c = b. Then a+f = b+e. So, by definition (a,b)R(e,f).

So R is an equivalence relation.

[(a,b)] is the equivalence class of (a,b). This is by definition, finding all the elements of A that are equivalente to (a,b).

Let us find all the possible elements of A that are equivalent to (2,4). Let (a,b)R(2,4) Then a+4 = b+2. This implies that a+2 = b. So all the elements of the form (a,a+2) are part of this class.

Answer:

Step-by-step explanation:

84.5

......,,........,.....-.......

The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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It is a mixed number:

THe whole part, 5, is going to stay 5.

Now, let's work with the fractional part.

7/10 into a decimal would require for division.

7 divided by 10 is 0.7

Thus,

IN Decimal, it will be "5.7"

To find percentage from decimal, we multiply by 100 and tag along a % sign.

So,

The number, in percentage, is 570%

Approximately 456.3 feet of fence to surround the entire circular yard.

Now, For the amount of fencing needed to surround a circular yard, we have to calculate the circumference of the circle, which is the distance around the circle.

Since, The circumference of a circle is,

⇒ C = πd,

where, C is circumference, d is diameter,

Here, the diameter of the circular yard is 145 feet,

So the radius is half of that,

r = 145/2 = 72.5 feet.

So, Using the formula, we can calculate the circumference as:

C = πd

C = 3.14 x 145

C = 456.3 feet

Therefore, Approximately 456.3 feet of fence to surround the entire circular yard.

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Answer:

15-18

Step-by-step explanation:

The IQR is the middle 50% of a set of numbers

There are 8 numbers, so its the middle 4

The middle 4 consists of 15,15,16,18

The range is 15-18

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

The number of bacteria after 1.5 hours is 320,000.

Given,

The doubling period of a bacteria culture is 15 minutes.

Initially, the culture has 5000 bacteria.

We need to determine the number of bacteria there will be after 1.5 hours.

We have,

The number of bacteria gets double every 15 minutes.

Number of bacteria at initial stage = 5000

In 1.5 hours we have 90 minutes.

1.5 hours = 1 hour and 30 minutes

1 hour = 60 minutes

1.5 hours = 90 minutes.

In 90 minutes we have 6 times 15 minutes.

First 15 minutes,

The number of bacteria would be = 2 x 5000 = 10,000

Now next 15 minutes,

10,000 x 2 = 20,000

Next 15 minutes,

20,000 x 2 = 40,000

Next 15 minutes,

40,000 x 2 = 80,000

Next 15 minutes,

80,000 x 2 = 160,000

Next 15 minutes,

160,000 x 2 = 320,000

We can also write it as 5000 x 2^6 = 320,000

Thus the number of bacteria after 1.5 hours is 320,000.

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Answer:

a. 14:8

b. 6:14

Step-by-step explanation:

all books on the shelf = 6+8=14

a. 14:8

b. 6:14