Is this correct? ………………….

Answer:

1 4/5 of a necklace, or 1.8 necklaces.

Step-by-step explanation:

As we know, an hour has 60 minutes, and Janet can make 3/5 of a necklace in 20 minutes. 60/20 is 3. So we need to mulitply 3/5 by 3 to get the amount of necklaces she can make in an hour. When we do this, we get 9/5. We can convert this to 1 4/5, and as decimal form, this is 1.8. That is our answer. I hope this helps!

Answer:

D.

Step-by-step explanation:

it is right

Answer:

Step-by-step explanation:

The balance of an account after a year, when the interest rate is 3% per year and there are no additional withdrawals or deposits, can be represented by the formula:

Balance = Principal + Interest

where Principal is the initial amount of money invested (m) and Interest is the interest earned on that amount for the year.

Interest is calculated as the product of the principal, the interest rate, and the time period. In this case, the interest rate is 3% (or 0.03), and the time period is one year. Therefore the Interest can be represented by the following expression:

Interest = Principal * Interest Rate * Time

Substituting the given values:

Interest = m * 0.03 * 1

So the expression that represents Arianys balance after a year is:

Balance = m + (m*0.03)

= m + 0.03m

= 1.03m

This expression represents her balance after a year, assuming she makes no additional withdrawals or deposits.

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

At Dela's Dell, Dela fills containers with homemade vinaigrette salad dressing. The correct option is: O Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

To find out how much vinegar and olive oil will be used to make 4 containers of salad dressing, we need to calculate the total amount of vinegar and olive oil used per container and then multiply it by the number of containers.

From the table, we can see that for each container, 2 teaspoons of vinegar and 6.5 teaspoons of olive oil are used.

To find the total amount of vinegar and olive oil for 4 containers, we multiply these amounts by 4:

Vinegar: 2 teaspoons/container * 4 containers = 8 teaspoons

Olive Oil: 6.5 teaspoons/container * 4 containers = 26 teaspoons

Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

The correct option is: O Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

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The Simplification of the algebraic expression gives:

a. -2/3x² - (4/15)xy +  (11/4)y²

b. -(12/7)x³ + (20/9)y

Simplification of an algebraic expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression

a. (1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²

To simplify this, add or subtract like terms. That is:

(1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²

     = (1/3)x² - 3x² - (2/5)xy + (2/15)xy + 2y²  + (3/4)y²

     = -2/3x² - (4/15)xy +  (11/4)y²

b. (2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y

To simplify this, add or subtract like terms. That is:

(2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y = (2/7)x³- 2x³ - (1/3)y + 2y + (5/9)y

                                                    = -(12/7)x³ + (20/9)y

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Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Hello!

x = the intersection

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

Answer: X=4

Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4

The solution to the given system of equation is (3, 3, 3)

Given the following system of equation expressed as:

2x-y+5z=16

X-6у +2z=-9

3x+4y- z=32

Multiply equation 2 by 2 to have:

2x-y+5z=16

2X-12у +4z=-18

Subtract

10y+z = 34 .........4

Similarly

3X-18у +6z=-27

3x+4y- z=32

Subtract

-22y+7z = -59 ........... 5

Equate 4 and 5

10y+z = 34 .........4 * 7

-22y+7z = -59 ........... 5 * 1

_______________________

70y+7z = 238

-22y+7z = -59

Subtract

92y = 297

y = 3

Recall that

10y+z = 34

10(3) + z = 34

z = 3

Since x - 6y +2z = -9

x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3

Hence the solution to the given system of equation is (3, 3, 3)

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\(g(x) = 4 |x| = x = 0\)

1. A conditional statement can be written as

The hypothesis is: It is sunny

The conclusion is: there is daylight

2. The converse of the conditional statement

3. The inverse of the conditional statement

4. The contrapositive of the conditional statement

5. The biconditional statement and can be written because the statement and the converse are both true

6. The biconditional statement is

A conditional statement is a term used in logic that refers to the type of statement that has "if-then". It is sometimes called if-then statements. Conditional statement are of two parts the hypothesis required to ensure that the conclusion. Other forms of conditional statements are

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

x=120°

Step-by-step explanation:

sum of all angles in a triangle is equal to 180

let the unknown angle be

\( \alpha \)

\(60 + 60 + \alpha = 180 \\ \alpha = 180 - 60 - 60 \\ \alpha = 60 \\ \)

\( \alpha + x = 180 \\ x = 180 - \alpha \\ x = 180 - 60 \\ x = 120\)

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Answer:

The volume is

Explanation:

The volume of a cube with length l is given by the formula:

Given the length 2 cm

The volume is:

The resulting equation will be x + y = 4 and 4y =20

GIven the system of equation given as:

x + y = 4

-3x + y = 8

If Megan multiplies the first equation by 3 then add the result to the second equation, the resulting equation will be:

3x  + 3y = 12

-3x + y = 8

Adding both equation

3y + y = 12 + 8

4y = 20

Hence the resulting equation will be x + y = 4 and 4y =20

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Answer:

7 cups

Step-by-step explanation:

1/2 * 2 times per day * 7 days per week = 7

C. 8

8/3 = g/3

, x3 both side

8/3 x 3 = g

8/3 x 3/1 = g

24/ 3 = g

8 = g

Hope this helps!

The odds against that event having a probability of 9/20 is 11/9.

What is odd against an event?

The number of unfavourable decisions or failures compared to positive decisions or successes is known as the odds against an event.

The ratio of the number of ways an outcome cannot occur to the number of ways it can happen is known as the odds against an event.

It can be estimated by finding the ratio of the probability of not happening an event to the probability of happening of it.

It is given that the probability of an event is 9/20

So, the probability of not happening of an event = 1-9/20=11/20

So, the odds against the event can be found by taking a ratio of the values.

Odds against the event =11/20:9/20

=11/9

So, the odds against that event having a probability of 9/20 is 11/9.

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Answer:

First blank = 4

Second blank = 4

Third blank = 10

Step-by-step explanation:

When you have the x value, just subtract 3 to get the y value, and when you have the y value, add 3 to get the x value.

Hopefully this helps- let me know if you have any questions!

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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a. The expected value is $12

b. She is expected to win money

To find the expected value of playing the game, we need to calculate the average value of the winnings or losses.

(a) Expected Value:

The probability of drawing an even-numbered card is 5/10 (since there are 5 even-numbered cards out of 10), and the probability of drawing an odd-numbered card is also 5/10.

If Leila draws an even-numbered card, she wins an amount equal to the value of the card. So the expected value of winning is:

(5/10) * (2 + 4 + 6 + 8 + 10) = (5/10) * 30 = 15/10 = $15

If Leila draws an odd-numbered card, she loses $6. So the expected value of losing is:

(5/10) * (-6) = -3

To find the overall expected value, we subtract the expected value of losing from the expected value of winning:

Expected value = (15) + (-3) = 12

Therefore, the expected value of playing the game is $12

(b) In the long run, after playing the game many times, Leila can expect to lose money. Since the expected value is positive $12 , on average, she will win $12 per game.

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Answer:

True

\(\textrm{Range of arcsin(x) is } \left[-\dfrac{\pi }{2},\:\dfrac{\pi }{2}\right]\)

Step-by-step explanation:

The maximum value of sin(x) is 1 and occurs when x = \(\dfrac{\pi}{2}\)

The minimum value of sin(x) is - 1 and occurs when x = \(-\dfrac{\pi}{2}\)

If we taken the inverse of sin(x) which is arcsin(x) then the range should be the x value range for sin(x) i.e. \(\left[-\dfrac{\pi }{2},\:\dfrac{\pi }{2}\right]\)

To find the equation of a line passing through two points, (-1, -5) and (5, 4), we can use the point-slope form of a linear equation.

The formula for the point-slope form is: y - y1 = m(x - x1), where (x1, y1) are the coordinates of one of the points on the line, and m is the slope of the line.

First, let's calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) = (-1, -5) and (x2, y2) = (5, 4).

m = (4 - (-5)) / (5 - (-1))

m = 9 / 6

m = 3/2

Now, we can choose one of the points, let's use (-1, -5), and substitute the values into the point-slope form:

y - y1 = m(x - x1)

y - (-5) = (3/2)(x - (-1))

y + 5 = (3/2)(x + 1)

To convert this equation to the standard form (Ax + By = C), we can multiply through by 2 to eliminate the fraction:

2(y + 5) = 3(x + 1)

2y + 10 = 3x + 3

3x - 2y = 7

So, the equation of the line passing through the points (-1, -5) and (5, 4) is 3x - 2y = 7.

\(y^3 - 6y^2 = 0\\y^2(y-6)=0\\y^2=0 \vee y-6=0\\y=0 \vee y=6\)

Answer:

The answer will be 6 times

Step-by-step explanation:

I hope this helps!!

ANSWER:

D. +1

STEP-BY-STEP EXPLANATION:

We have the following operation

We do it and we have it