The amount of vinegar that melody used for a recipe can be written as a whole number which could be the amount of vinegar that Melody used?A. -3.75 tspB. 1.5 tspC. 2 1/3 tspD. 12/3

Answer:

48/13

Step-by-step explanation:

To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction

3 * 13/13 = 39/13

Then add it to the rest of the fraction

39/13 + 9/13

= 48/13

Answer: 48/13

Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.

Answer:

4.5

Step-by-step explanation:

4.5 + 4.5 + 4.5 + 4.5 = 18

You write it like this in the number line:

4.5, 9, 13.5, 18

The most appropriate choice for Number line will be given by -

The number line has been shown in the figure attached.

What is a number line?

A visual representation of the real numbers can be shown on a diagrammatic representation of graduated straight lines. The visual representation of the real numbers is known as the number line. Number line can be used for addition or subtraction of two numbers.

Here,

The number line has been attached

[tex]\frac{3}{9}[/tex] lies between 0 and 1

So the space between 0 and 1 is divided into 9 equal parts as the denominator of the given fraction is 9

Now the third small line is the required value i.e  [tex]\frac{3}{9}[/tex]  as 3 is in the numerator of the given fraction

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seems hard very xd oihfoidhfoidshfodjsklfdsfdsfsdfdsf

A probability is the number of outcomes divided by the number of total outcomes.

An odd is given by a:b, in which a is the number of successes and b is the number of failures.

From the question, the probability of 5 cars will pass over a small bridge is 0.16

That means the total outcomes is 100 and the outcomes of successes are 16

Then to find the failures subtract 16 from 100

The failures = 100 - 16 = 84

Successes = 16

a = 16

Failures = 84

b = 84

Odds = a: b

Odds = 16: 84

Divide each term by 4 to simplify

Odds = (16/4): (84/4)

Odds = 4: 21

The answer is 4: 21

We define the following variables:

• x = age (in years) of the eldest,

• y = age (in years) of the second,

• z = age (in years) of the youngest.

From the statement, we know that:

0. the eldest is 7 years older than the second → , x = 7 + y,,

1. the second is 2 older than the youngest → ,y = 2 + z,,

2. the sum of the ages 12 years from now will be 56 → x + y + z + 12 = 56 → ,x + y + z = 56 - 12 = 44,.

We have the following system of equations:

i) Replacing the second equation in the first one, we have:

ii) Summing the ages of the three daughters, we have:

iii) Equalling the last equation with the third one, we have:

Replacing the value of z in the equation of x and y, we get:

Answer

The ages of the daughters are 20, 13 and 11.

Question 1

[tex]-14=-4(9x-1)\\\\-14=-36x+4\\\\-18=-36x\\\\x=\frac{1}{2}[/tex]

Question 2

Multiplying both sides by 12,

[tex]4x-7x=8\\\\-3x=8\\\\x=-\frac{8}{3}[/tex]

A triangular prism have two possible cross sections: A triangle and a rectangle

ANSWER

EXPLANATION

The Principal is $5200;

Increase rate is; 6.5%

The increase in dollar is;

Hence, the amount in the account at the end of the year;

Therefore, the increase in dollar is $338 while the amount in the account at the end of the year is $5538

On (-∞, -2) ∪ (3,∞) f(x) is positive, On (-∞, -0.5) it is negative, On (0.5, ∞) it is increasing, in none of the intervals it is having positive concavity, On (-∞, ∞) it has negative concavity.

Seeing as how f (x) = 0 there. A function’s “positive regions” are those times when it is above the x-axis. Y-values that are positive are where it is (not zero).

The portions of a function that are below the x-axis are known as its negative regions.

You must first take the derivative, then make it equal to 0, and then determine which zero values the function is positive between in order to determine when a function is rising. In order to determine when the function is positive and, thus, rising, test values on all sides of these.

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Answer:

[tex]260 \: {cm}^{2} [/tex]

Step-by-step explanation:

hope it helped, have a nice day!: )

The following statement "In centrally planned economies, the distribution of goods costs nothing to administer" is true.

A centrally planned economy, often known as a command economy, is an economic system in which a government agency makes economic choices affecting the production and distribution of products. Centrally planned economies vary from market economies in that these decisions are the outcome of hundreds of choices made by producers and consumers.

State-owned corporations provide goods and services in planned economies, however, independent firms may occasionally be brought into economic planning. Prices, salaries, and production schedules are often set by a centralized bureaucracy.

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If he make a change to less expensive option that will result in a 30% decrease in your monthly payment that is $25 per month, then the bill is $83.33

The percentage decrease in the monthly payment = 30%

The amount of decrease in the bill per month = $25

Consider the current bill amount as x

Then the equation will be

x × (30/100) = $25

Solve the equation

0.3x = $25

x = 25/0.3

x = $83.33

Hence, if he make a change to less expensive option that will result in a 30% decrease in your monthly payment that is $25 per month, then the bill is $83.33

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The volume of a cylinder is given by:

solve for h:

divide the height by 12:

The thickness of each cookie is 0.499992681in or approximately 0.5in

Answer: y = 2x - 8

Step-by-step explanation:

When x = 0, y = -8. This is the y-intercept.

As x increases by 1, y increases by 2. This makes 2 the slope.

The equation for the linear relationship given, in slope-intercept form is y = 2x-8

The slope-intercept form of a linear equation is where one side contains just "y". So, it will look like: y = mx + b where "m" and "b" are numbers.

Given that, coordinates representing a linear relationship.

x → 0, 1, 3, 4

y → -8, -6, -2, 0

We need to find an equation for the given linear relationship in slope-intercept form,  

Considering points, (0, -8) and (4, 0)

We know that, the equation of a line passing through, two points is given by,

y-y₁ = (y₂-y₁) / (x₂-x₁) (x-x₁)

Here, y₁ = -8, y₂ = 0, x₁ = 0, x₂ = 4

Therefore, the equation is =

y+8 = 8/4(x-0)

y+8 = 2x

y = 2x-8

Hence, the equation for the linear relationship given, in slope-intercept form is y = 2x-8

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Answer:

a) 0.0187

b) 0.0943

c) 0.2959

Step-by-step explanation:

a) 9/31 * 8/30 * 7/29 = 0.0187

b) 10/31 * 9/30 * 8/29 + 12/31 * 11/30 * 10/29 + 9/31 * 8/30 * 7/29 = 0.0943

c) 21/31 * 20/30 * 19/29 = 0.2959

Part a

The altitude in miles = 6.07 miles

Part b

Head wind in miles per hour = 439.30 miles per hour

Part c

The headwind in miles per hour = 114.35 miles per hour

Part d

The temperature in degree Fahrenheit = -41.8 degrees Fahrenheit

Part a

The altitude = 9770 meters

To convert meter to miles, divide the length by 1609

Therefore,

9770 meters = 9770/1609

=6.07 miles

Part b

The ground speed = 707 km/hours

To convert km per hour to miles per hour, divide the speed value by 1.609

707 km/hour = 707/1.609

= 439.30 miles per hour

Part c

The head wind = 184 km/hour

To convert km per hour to miles per hour, divide the speed value by 1.609

184 km/hour = 184/1.609

= 114.35 miles per hour

Part d

The outside air temperature = -41 degree C

F = (9/5)C + 32

= (9/5)×-41+32

= -41.8 degrees Fahrenheit

Hence,

Part a

The altitude in miles = 6.07 miles

Part b

Head wind in miles per hour = 439.30 miles per hour

Part c

The headwind in miles per hour = 114.35 miles per hour

Part d

The temperature in degree Fahrenheit = -41.8 degrees Fahrenheit

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Answer: [tex]\sqrt{13}[/tex]

Step-by-step explanation:

Using the distance formula,

[tex]\sqrt{(-6-(-3))^2 +(5-7)^2}=\sqrt{13}[/tex]

The percent increase of the students in the cafeteria that bought hot lunches is 17.5%

On Monday 365 students purchased hot lunch

On Friday 429 students purchased hot lunch

The first step is to calculate the percent change

429-365

= 64

The percent increase can be calculated by dividing the percent change by the original value and then multiply by 100

64/365 × 100

= 0.175 × 100

= 17.5

Hence the percentage increase in the students purchasing lunch is 17.5%

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We can give two classifications to that triangle

It's a scalene triangle, because all the sides are different (because all the angles are different). Also, it's a acute triangle because all the angles are less than 90°

Answer:

A

Step-by-step explanation:

Comment

The tricky part is f(4)

Log part

That is defined by log_2 which means that the base used for the log is 2.

We don't have log_2 on our calculators so you have to create it.

Substitute 4 for x

log_2 (4) = log_10(4)/ log_10 (2)     Which your calculator can handle

log_2 (4) = Log(4)/ log(2) = 2

f(x) = 1/2 x^2

x = 2.1

Only answers a and b are correct, but which one is right? 2.1 is between 2 and 4. So you choose f(x) = 1/2 x^2

1/2 2.1^2 = 1/2 4.41 = 2.205

Answer

A

Answer:

  (a)  f(2.1) = 2.205 and f(4) = 2

Step-by-step explanation:

You want to evaluate a piecewise-defined function to find f(2.1) and f(4).

The first step in evaluating a piecewise defined function is to match the argument value with the appropriate domain.

Once you have identified the function you are evaluating, substitute the argument for the variable and carry out the arithmetic in the usual way.

The desired function values are f(2.1) = 2.205 and f(4) = 2.

Answer

i) 4% = 0.04

ii) 76% = 0.76

iii) 120% = 1.20

iv) 100% = 1.00

v) 32.5% = 0.325

Explanation

The key to writing percents as decimals is to divide the percents by 100 to get the decimal equivalent.

i) 4% = (4/100) = 0.04

ii) 76% = (76/100) = 0.76

iii) 120% = (120/100) = 1.20

iv) 100% = (100/100) = 1.00

v) 32.5% = (32.5/100) = 0.325

Hope this Helps!!!

Answer:

=82

Step-by-step explanation:

the value of

x + y²

putting x=1,y=9

we get,

1+(9)^²

=1+81

=82

Answer: 9180 mg

Step-by-step explanation:

First we must convert the patients weight from lb to kg.

102lb x [tex]\frac{0.45kg}{1lb}[/tex] = 102 x 0.45 kg = 45.9 kg

Now to calculate the amount of the drug she should receive.

45.9 kg x [tex]\frac{200mg}{kg}[/tex] = 9180 mg

Answer:

SAS= Side, Angle, Side

Step-by-step explanation:

According to the image, GB congruent to XP, and LB congruent to PF. So, it means that both triangle have the same angle since they both have two congruent side.

The required solution of the given equation 6x + 3y = −1 for y would be the value of equation y = -2x - 1/3.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The equation is given in the question below as:

6x + 3y = −1

We have to determine the solution of the equation 6x + 3y = −1 for y.

⇒ 6x + 3y = −1

Rearrange the terms of the variable in the above equation,

3y = - 6x - 1

Divided by 3 both sides of the equation to get

y = -2x - 1/3

Hence, the required solution of the given equation 6x + 3y = −1 for y would be the value of equation y = -2x - 1/3.

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Based on the given situation, if x is number of kilograms of lobster, you can write the following expressions:

51 + 5x cost in the first restaurant

33 + 8x cost in the second restaurant

In order to determine the value of x which makes the cost the same in both restaurants, equal the previous expressions and solve for x:

51 + 5x = 33 + 8x subtract 33 both sides and 5x subtract both sides

51 - 33 = 8x - 5x simplify

18 = 3x divide by 3 both sides

18/3 = x

6 = x

x = 6

Hence, the weight of the lobster is 6 kg.

The cost of the dinner is:

51 + 5(6) = 51 + 30 = 81

Hence, the cost of the dinner is $81

The most appropriate choice for exponents will be given by-

In [tex]2^4 = 16[/tex], 2 is called the base and 4 is called the power or index.

What is exponent?

Exponent of a number is the number of times a number is multiplied by itself.

For example: [tex]3^5 = 3 \times 3 \times 3 \times 3 \times 3[/tex], 3 is multiplied by itself 5 times

If [tex]a^m = a \times a \times a \times a .....[/tex](m times)

a is called the base and m is called the power or index,

Here,

In [tex]2^4 = 16[/tex], 2 is called the base and 4 is called the power or index.

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To find the mean of grouped data, we need to use the next formula:

First, we need to find the midpoint of each interval:

The midpoint of interval = 1/2 (lower class limit + upper-class limit)

Then:

Time for competition (in minutes) ----- frequency ---- midpoint

9 -11 8 1/2(9+11) = 10

12 -14 7 1/2(12+14) = 13

15-17 5 1/2(15+17)= 16

18 - 20 3 1/2(18+20) = 19

21-23 3 1/2(21+23) = 22

Now, multiply the frequency of each interval by its midpoint:

10 * 8 = 80

13* 7 = 91

16 * 5 = 80

19 * 3 = 57

22 *3 = 66

Summ all the results 80 + 91 +80+57+66= 374

Then, sum all the frecuencys = 8 + 7 +5 +3 +3 = 26

Use the mean formula =

The mean is given using five decimals.