On a recent trip, the Baxter family drove 143 miles and used 4 2/3
gallons of gas. How many miles per gallon of gas did they travel?

If water's temperature increases 7°C each minute from an initial temperature of 21°C. Then the time taken by the water to reach 49 degree Celsius is 4 minutes.

Temperature defines the atmosphere hotness. And it is expressed in different scales as well as in different parameters like Celsius etc. It is measured through the device known as thermometer.

According to the question, larger amount of sodium chloride is dissolved in the heating water. And the given data states that the water temperature increases 7 degree Celsius every minute.

Initial temperature of water is 21 degree Celsius.

Let us assume, water reaches at 49° C after 'x' minutes.

As per question, every minute temperature increases as 7°C. So, the expression can be written as: (21 + 7x)°C

⇒ 21 + 7x = 49

⇒x = 4 minutes

Hence, the time taken to reach 49° C is 4 minutes.

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Answer:

Not Available

Step-by-step explanation:

Use the Venn diagram shown to list the set An C in roster form.

U

5

A 3

1

6

9

13

2

11

8

7

4

10

14

12

B

O A. (2, 3, 4, 6, 8, 9, 10, 11, 12, 13}

The correct way of using the equation is:

$25,475 = (1 - m)*$27,000

And with that we will get that the markdown is of the 5.6%

We know that the original price of the car is $27,000, and there is a markdown such that the new price of the car is $25,475.

Then, if m represents the markdown, we can write the equation:

$25,475 = (1 - m)*$27,000

Now we can solve this for m to get:

1 - $25,475/$27,000 = m = 0.056

If we want this in percentage form, we need to multiply it by 100%.

0.056*100% = 5.6%

the markdown in the price is of the  5.6%

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The difference between the two temperatures is mathematically given as

|81 - (-29)| Option C

This is further explained below.

Generally, the equation is  mathematically given as

h-l=d

Therefore

81-(-29)=d

81+29=d

d=110

In conclusion,, in magnitude form

|81 - (-29)|=|81 +29|=|110|=110

|81 - (-29)|

Option C is correct

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Answer: (1,6)

Step-by-step explanation:

Let the coordinates of A be (x,y).

[tex]\frac{x-5}{2}=-2 \implies x=-4 \implies x=1\\\\\frac{y+4}{2}=5 \implies y+4 =10 \implies y=6\\\\\therefore A=(1, 6)[/tex]

The factoring of the expression x²+ 4x+4 is (x+2)²

To solve this exercise, we have to follow the rules of factoring:

x²+ 4x + 4

1. Looking for the a and b number that state the following equations:

Analyzing that (a*b) is a positive number, it means that (a) and (b) have the same signs.

The number could be:

a = 2

b = 2

Confirming:

a + b = 2 + 2 = 4

a * b = 2 * 2 = 4

2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:

(x+2) (x+2)

3. Rewriting as the square of a binomial, we get:

(x+2)²

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

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Answer:%

Step-by-step explanation:

The function y = 0.6 × ( 1/10)ˣ is a form of exponential decay and the value of y-intercept is 0.6.

The term "exponential decay" refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)ˣ, where x is the amount of time that has passed, a is the initial amount, b is the decay factor, and y is the final amount.

Consider the function,

y = 0.6 × ( 1/10)ˣ

This equation is a form of exponential decay because the number being raised in the power is a fraction, and whenever a fraction is raised to a positive power, the result decreases.

In order to determine the y-intercept of the function, we substitute the value of x as zero and find the value of y. Whenever a number is raised to zero power, the answer is always one.

Therefore,

y = 0.6 ( 1/10)ˣ

y = 0.6 × ( 1/10 )⁰

y = 0.6 × 1

y = 0.6

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The value at intercept C(1) is 95.68 pounds

The estimated per capita consumption in the year 2010 will be 115.6 pounds

Part a:

Per capita consumption of all the poultry in a country is given by the function C(x) = 2.49x + 93.19

Finding intercept C(1):

For C(1) the value of x will be 1

C(1) = 2.49(1) + 93.19

C(1)  = 95.68

Hence, the value at intercept C(1) is 95.68 pounds

Part b:

Finding the per capita consumption in the year 2010:

where x will be 9, as the time period from 2001 to 2010 is 9 years

C(2010) = 2.49(9) +93.19

= 22.41 + 93.19

= 115.6

Hence, the estimated per capita consumption of all the poultry in the country will be 115.6 pounds in the year 2010

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The required amount of shipping paid by Mai is 8.

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Amount of shipping fee = 7.95

percentage of shipping fee = 6.25% of the total purchase

Total amount purchased = 128

Thus, amount of shipping for this purchase is given as,

Amount of shipping = 6.25% of 128

Solving,

Amount of shipping = 0.0625*128 = 8

Since the shop charges shipping fees of whichever is greater

and 7.95 < 8

Thus, amount of shipping paid by Mai = 8

Thus, the required amount of shipping paid by Mai is 8.

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Fractions represent the parts of a whole or collection of objects. the equivalent  fractions to -(5/3) are -5/3, 5/-3.

Fractions represent the parts of a whole or collection of objects.

-(5/3) is a fraction, Actually it a improper fraction with negative sign.

The equivalent fractions are obtained by multiplying same sign or same number in numerator and denominator.

-(5/3)  is equivalent to -5/3

-(5/3)  is equivalent to 5/-3

-(5/3)  is not equivalent to 5/-3

-(5/3)  is not equivalent to -5/-3 because when negative and negative are multiplied the result will be positive but to be equivalent fraction it should be negative.

-(5/3)  is not equivalent to -(-5/3) because when negative and negative are multiplied the result will be positive but to be equivalent fraction it should be negative.

Therefore the equivalent fractions to -(5/3) are -5/3, 5/-3.

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Answer:

x-x=29 answer is equal to 28and

Answer:b i think

but im not sure

Step-by-step explanation:

According to the question, equation 3r + g ≤ 48 where r > 3 and g ≥ 4 represents the given situation.

When two mathematical expressions or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical or as a combination of the two. When a polynomial of degree 1 is compared to another algebraic expression of a degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression.

Given, A maximum of $48 can be spent during the show. Each game ticket (g) costs $1, while each ride ticket (r) costs $3. At least 4 game tickets and more than 3 transportation tickets are what you want to purchase. From that, we can drive that sum of 3 times of ride ticket and game ticket cost should be at least greater than 48. Hence,

$3 * ride cost + $1 * game cost ≤ 48

Therefore, The above circumstance is represented by the equation

3r + g ≤ 48, where r > 3 and g ≥ 4.

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Hello There!

The answer you are looking for is **8.25**.

Explanation:

If you do 8.25*12, you will get 99.

```Fact checking:

8.25*2= 16.50

8.25*4= 33.00

8.25*6= 49.50

8.25*8= 66.00

8.25*10= 82.50

and finally 8.25*12= 99.00

Since it is in inches- it would be 8 1/4in. or 20.955cm.

Hope this helps :)

Ukiah

Answer: 0.121212121  

Step-by-step explanation:   [tex]\frac{99}{1}[/tex]=[tex]\frac{12}{x}[/tex]

Cross multiply

99x= 12

divide both sides by 99

[tex]\frac{99x}{99} =\frac{12}{99}[/tex]

99 cancel 99 leaving x =[tex]\frac{12}{99}[/tex]=[tex]\frac{4}{33}[/tex]

in decimal

x= 0.121212121

Answer:

I think the answer is c.CB

The value of x is 7.

A proportion is an equation in which two ratios are set equal to each other.

Now, setting up the proportion we have

6/4 = x+6 / 4+8

3/2 = x+6 / 12

12*3 = 2(x+6)

36 = 2x + 12

2x = 36-12

2x= 14

x=7

Hence, the value of x is 7.

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Given the dimensions of the shape, the length of PR can be found to be 19.8 units.

The given triangle is an equilateral triangle which means that all the sides are equal.

That then means that:

PR = QR

So we can solve as:

2n + 9 = 7n - 18

Solving for n gives:

7n - 2n = 18 + 9

5n = 27

n = 5.4

The length of PR is therefore:

= 2n + 9

= 2 (5.4) + 9

= 19.8 units

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The Perimeter of the composite figure = 44.2 units.

The perimeter of the composite figure = TU + UV + VW + WX + XQ + QR + RS + ST.

Length of TU = 3 units

Length of UV = 11 units

VW = 9 units

XQ = 5 units

QR = 2 units

Use the distance formula, d = [tex]\sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}[/tex], to find the lengths of WX, RS, and ST.

W(-2, -6)

X(-5, -3)

R(-3, 2)

S(0, 0)

T(4, 5)

WX = √[(−5−(−2))² + (−3−(−6))²]

WX = √18 ≈ 4.2

RS = √(0−(−3))² + (0−2)²]

RS = √13 ≈ 3.6

ST = √[(0−4)² + (0−5)²]

ST = √41 ≈ 6.4

Perimeter of the composite figure = 3 + 11 + 9 + 5 + 2 + 4.2 + 3.6 + 6.4

Perimeter of the composite figure = 44.2 units.

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Answer:

There are 12 cups of juice in the refrigerator.

Step-by-step explanation:

The conversion --> 1 gallon = 16 cups.

Therefore, [tex]\frac{3}{4}[/tex] a gallon x [tex]\frac{16 cups}{1 gallon}[/tex] = 12 cups.

--

Have a nice day!

Answer:

9,10,11 are the values of n

We need to know about unitary method to solve the given question. Option () is correct, Recycling Center A processes aluminium faster; Recycling Center B's rate is about 24 pounds per hour.

Unitary method is a method to find out the value for a single quantity and then derive the value for the asked quantity. Here is this question we know Center A processes aluminium at a rate of 100 pounds per hour and center B processes  2 tons per week, we need to know who processes aluminium faster. To find the answer we need to first find how much aluminium center B processes per hour, to find that we need to use unitary method.

1 ton=2000 pounds

so, 2tons=2x2000=4000 pounds

Thus Center B processes 4000 pounds per week

A day has 24 hours, a week has 7 days, we know that the centers operate all day every day so number of hours in a week is

7x24=168 hours

Center B processes 4000 pounds in 168 hours

Center B processes 4000/168 pounds in one hour

Center B processes about 24 pounds in one hour

Therefore, we can see that Center A processes aluminium faster and Center B's rate is about 24 pounds per hour, thus option (2) is right.

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Answer:14 ft

Step-by-step explanation:hope it helps, brainliest? i could really use it

The listed elements of the sets are as follows:

Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.

The sets in the Venn diagram are U, X and Y.

Therefore, let's find the elements of the sets.

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the measure of angle A is 96° when A and B are vertical angles.

We are given the two vertical angles as:

A = (4x − 4)° and B = (5x – 29)°

We know that, vertical angles are equal to each other.

So, we get that:

4 x - 4 = 5 x - 29

5 x - 4 x = 29 - 4

x = 25

A = 4 x - 4

A = 4 ( 25 ) - 4

A = 100 - 4

A = 96°

Therefore, the measure of angle A is 96° when A and B are vertical angles.

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The solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given system of equation is;

y = 2/3 x + 3     ----------- (1)

x= -2                 ----------- (2)

The value of x has been given in the second equation.

Now, we need to determine the value of y

From the second equation, we have that;

x = -2

Now Substitute the value of x into the first equation,

y = 2/3 x + 3

y = 2/3 (-2) + 3

y = -4/3  + 3

y = 5/3

Hence, the solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

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Answer:

It's True

Step-by-step explanation:

They both pass through the point 'U'ehich means they intersect.

The mean, summation of (x - μ), summation of (x - μ)², variance, and standard deviation will be 5, 0, 360, 72, and 8.49, respectively.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation. The standard deviation is given as,

[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]

The data set is given below.

14, 3, -10, 12, 6

The mean of the data will be

μ = (14 + 3 - 10 + 12 + 6) / 5

μ = 25 / 5

μ = 5

The summation of the (x - μ) will be

∑(x - μ) = (14 - 5) + (3 - 5) + (- 10 - 5) + (12 - 5) + (6 - 5)

∑(x - μ) = 9 - 2 - 15 + 7 + 1

∑(x - μ) = 0

The summation of the (x - μ)² will be

∑(x - μ)² = (14 - 5)² + (3 - 5)² + (- 10 - 5)² + (12 - 5)² + (6 - 5)²

∑(x - μ)² = (9)² + (-2)² + (-15)² + (7)² + (1)²

∑(x - μ)² = 81 + 4 + 225 + 49 + 1

∑(x - μ)² = 360

Then the standard deviation (σ) will be

σ = √(360 / 5)

σ = √72

σ = 8.49

Then the variance (σ²) will be

σ² = 8.49²

σ² = 72

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Answer:2.7 - 1.1 = 1.6

The length of ribbon that remained is 3m and 90 cm which is calculated by subtracting the cut length from the total length of the ribbon.

An arithmetic operation called subtraction simulates the process of removing items from a collection.

Subtraction can mean eliminating or lowering physical and abstract quantities utilizing a variety of things, such as negative integers, fractions, irrational numbers, vectors, decimals, functions, and matrices, however it is typically linked with natural numbers in mathematics.

The total length of the ribbon is is 5 meters or 500 centimeters. The length of the piece of ribbon that was cut is 1 m 10 cm=110 cm.

Length of the ribbon that remained is calculated by subtracting the total length form the cut off length 500-110 = 390 centimeters.

390 centimeters= 3 meters and 90 centimeters.

So the length that remained is 3 meters and 90 centimeters.

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