Gas prices are on the rise this summer as more Americans travel, Prices have increased by 40% from last summer's price, which averaged $2. 26 per gallon. Jonah's mom's car takes 14 1/2 gallons of gas to fill up. Find the cost that Jonah's mom would have to spend after the 40% increase in gas prices if she fills up her tank the entire 14 1/2 gallons. ​

R-11 was the preferred low pressure centrifugal refrigerant. R-123 is now the preferred low pressure centrifugal refrigerant for environmental reasons.

A refrigerant is a working fluid that is utilised in the refrigeration cycle of air conditioners and heat pumps. In this cycle, they typically go through numerous phase changes from a liquid to a gas and back again.

A chlorofluorocarbon is trichlorofluoromethane, commonly known as freon-11, CFC-11, or R-11. It is an odourless, colourless liquid that boils at a temperature close to body temperature. Class 1 ozone-depleting CFC-11 harms the ozone layer that protects the Earth's atmosphere.

In low pressure HVAC and refrigeration systems, 2,2-dichloro-1,1,1-trifluoroethane, also known as HCFC-123, is a replacement to CFC-11 but should not be utilised in foam blowing or solvent applications. It serves as the main ingredient in the fire-extinguishing combination used in the Halotron I.

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Answer:

∠ ZWV = 39°, ∠ ZVW = 64° , x = 1

Step-by-step explanation:

∠ ZWV = ∠ ZYX = 39° ( alternate angles )

∠ ZVW = ∠ ZXY = 64° ( alternate angles )

The diagonals bisect each other , so

YZ = ZW

3x + 2 = 5 ( subtract 2 from eavh sides )

3x = 3 ( divide both sides by 3 )

x = 1

Answer:

θ  = 28.07°

Step-by-step explanation:

opposite/hypotenuse =sinθ

sinθ  = 8/17

θ = \(sin^{-1}\)(8/17) = 28.07°

Answer:

28.07°

Step-by-step explanation:

For Θ, 8 is the opposite leg.

17 is the hypotenuse.

sin Θ = opp/hyp

sin Θ = 8/17

Θ = sin^-1 8/17

Θ = 28.07°

The height of the wall where the ladder reaches will be 23.6 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the ground.

The height of the wall where the ladder reaches is given as,

\(\text{sin 80}^\circ \sf =\dfrac{h}{24}\)

\(\sf h = 24 \times \text{sin 80}^\circ\)

\(\sf = 24 \times \text{0.9848}\)

\(\sf h = 23.63\thickapprox\bold{23.6 \ feet}\)

The height of the wall where the ladder reaches will be 23.6 feet.

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ANSWER

x = 4; 5x + 1 = 21

EXPLANATION

First, we have to find the value of x using the given equation,

To do so, divide both sides by 2,

Now, with x = 4, replace it into the expression given to find its value,

Hence, the value of the expression is 21.

In a system with single representative districts, the seats would be distributed based on the majority winner in each district.

Each district will have one representative, and the party that wins the majority of the vote in that district will get the seat.

In this scenario, the Republican party wins 57% of the vote, which means they would likely win the majority of the seats in Congress. The Democratic party wins 43% of the vote, so they would likely have fewer seats compared to the Republicans.

In a single representative district system, the party that wins the majority of the vote in each district will have the most seats in Congress. In this case, the Republican party would likely have more seats than the Democratic party.

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Answer:

9

Step-by-step explanation:

3-(-6)=9

Hi there! :)

Answer:

\(\huge\boxed{q -r = 9}\)

q = 3

r = -6

q - r = 3 - (-6) = 9

the number should be aproximately 1579.0204

False. In statistical process control (SPC), the mean and the standard deviation serve different purposes and are not interchangeable.

The mean, often denoted as μ, represents the central tendency or average of a set of data points. It provides information about the typical or expected value of the process under consideration.

The mean is commonly used as a reference point in SPC to monitor and control the process performance. Control charts, which are a fundamental tool in SPC, typically plot the mean of the process data over time to detect any shifts or trends.

On the other hand, the standard deviation, often denoted as σ, is a measure of the dispersion or variability of the data points around the mean. It provides insights into the spread or consistency of the process. The standard deviation is not used as a substitute for the mean in SPC; rather, it is used to calculate control limits on control charts.

Control limits help identify when the process is exhibiting unusual variation that may indicate a special cause or a deviation from the desired performance.

In summary, the mean and the standard deviation are distinct statistical measures, each with its own role in SPC. They provide complementary information and should not be used interchangeably.

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Answer:

15 weeks

Step-by-step explanation:

2lbs. x 14weeks  = 28lbs.          

200(pounds) - 28(pounds) = 172

 175lbs. > 172lbs.

Because 175 lbs. is still greater than 172 lbs. 14 weeks isn't enough.

2lbs. x 15weeks  = 30lbs.           200(pounds) - 30(pounds) = 170

Therefore, it will take Emily 15 weeks to weight less than 175 lbs.

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If Mexico, one of our largest trading partners, goes into a recession, it is likely to decrease its demand for our exports. This would shift the aggregate demand (AD) curve leftward, leading to a decrease in equilibrium GDP and price level in the short run.

In the AD/AS model, a decrease in aggregate demand would cause a leftward shift of the AD curve. As a result, the intersection point of the AD and the short-run aggregate supply (SRAS) curves would move to the left, causing a decrease in equilibrium GDP and price level.

In the long run, however, the economy is likely to adjust to the new equilibrium. The decrease in aggregate demand would cause a decrease in prices, which would shift the SRAS curve rightward. Eventually, the new intersection point of the AD and the SRAS curves would be reached, resulting in a new equilibrium GDP and price level.

Overall, a recession in Mexico would likely have a negative impact on the US economy, leading to a decrease in GDP and price level in the short run. However, the economy would eventually adjust to the new equilibrium in the long run.

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Answer:

x - 18 > 6

x can be a number from 25 and up

Step-by-step explanation:

x can be a number from 25 and up because 25 - 18 = 7 > 6

and if you subtract 18 by any number above 25 then you will get a number greater than 6 every time

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

Answer: 32 cookies

Step-by-step explanation:

8 times 3 is 24

24+8=32 cookies

Answer:

answer:1) 2) 3) 4)

Step-by-step explanation:

Write the expressions "Four times the difference of a number and 7 is 32", "One third of a number is 12 less than the number itself", "Ten increased by the quotient of a number and 2 is -15", and "One less than the product of a number and 3 is 5 more than the number itself".

2

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Answer

4

calculista

Genius

19K answers

423.1M people helped

Part 1) "Four times the difference of a number and  is "

Let

x--------> the number

we know that

the expressions is equal to

therefore

the answer part 1) is

Part 2) "One third of a number is  less than the number itself"

Let

x--------> the number

we know that

the expressions is equal to

therefore

the answer part 2) is

Part 3) "Ten increased by the quotient of a number and  is "

Let

x---------> the number

we know that

the expressions is equal to

therefore

the answer Part 3) is

Part 4) "One less than the product of a number and  is  more than the number itself"

Let

x---------> the number

we know that

the expressions is equal to

therefore

the answer Part 4) is

cliffffy4h and 4 more users found this answer helpful

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4

0.0

(0 votes)

Answer

3.0/5

4

tardymanchester

Ambitious

1K answers

4.6M people helped

Answer:

1)

2)

3)

4)

Step-by-step explanation:

Given : Expressions in words.

To find : The expressions value?

Solution :

Let x be the number,

According to question,

1) "Four times the difference of a number and 7 is 32"

2) "One third of a number is 12 less than the number itself"

3) "Ten increased by the quotient of a number and 2 is -15"

4) "One less than the product of a number and 3 is 5 more than the number itself"

The value of x is 9/10.

The given equation is \(\frac{4x+9}{2\frac{1}{3} } =\frac{3x}{0.5}\).

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.

Now, \(\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }\)

⇒(4x+9)×3/7=3x×2

⇒12x+27=42x

⇒30x=27

⇒x=9/10

Therefore, the value of x is 9/10.

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Answer:

First you would make 62% into \(\frac{62}{100}\)

\(7893+82-\)\(\frac{62}{100}\)

Than you would do 7893+82 which is 7975

\(7975-\frac{62}{100}\)

You would than simplify \(\frac{62}{100}\) which is \(\frac{31}{50}\)

\(7975- \frac{31}{50}\)

Therefore your answer will be \(\frac{398719}{50}\) or in decimal form it will be \(7974.38\)

Hope that helps :>

Matrix C is in both row echelon form and reduced row echelon form. Matrices A and B are in row echelon form but not in reduced row echelon form.

To determine whether a matrix is in row echelon form or reduced row echelon form, we need to consider the following conditions:

Row echelon form:

All rows consisting entirely of zeros are at the bottom of the matrix.

The first nonzero entry in each row, called a leading entry, is always to the right of the leading entry in the row above it.

All entries below and above a leading entry are zeros.

Reduced row echelon form (also known as row canonical form):

The matrix is in row echelon form.

Each leading entry is equal to 1.

Each leading 1 is the only nonzero entry in its column.

Now, let's analyze the matrices provided to determine which ones satisfy the conditions:

Matrix A:

1 0 3

0 1 2

0 0 0

Matrix A is in row echelon form. The leading entries are correctly positioned, and all entries below the leading entries are zeros. However, it does not meet the conditions for reduced row echelon form as the leading entries are not equal to 1.

Matrix B:

1 2 0

0 1 0

0 0 0

Matrix B is in row echelon form. The leading entries are correctly positioned, and all entries below the leading entries are zeros. However, it does not meet the conditions for reduced row echelon form as the leading entries are not equal to 1.

Matrix C:

1 0 0

0 1 0

0 0 1

Matrix C is in row echelon form and reduced row echelon form. It satisfies all the conditions for both forms. The leading entries are correctly positioned, all entries below and above the leading entries are zeros, and each leading entry is equal to 1.

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Answer:

\(T_f=9^{\circ} F\)

Step-by-step explanation:

It is given that,

Initial temperature, \(T_i=3^{\circ} F\)

The decrease in temperature when she woke up is, \(\Delta T=6^{\circ} F\)

We need to find the temperature when Ava woke up.

Change in temperature = final temperature-initial temperature

\(6\ ^{\circ}F=T_f-3^{\circ}F\\\\T_f=9^{\circ} F\)

So, when she woke up the temperature was 9°F.

The temperature when Ava woke up is -3°F

Integers come in three types:

Given:

When Ava went to bed, the temperature was 3°F.

and, When she woke up, the temperature had decreased by 6°F.

So, the temperature when Ava woke up

= 3 - 6

= -3°F

Hence, the temperature when Ava woke up is -3°F

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Answer:

I love Math anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: The first term is 6; the common difference is 4.

Step-by-step explanation:

The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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Answer:  

1

Step-by-step explanation:

8-1,2,4.....

25-1,5...

Answer:

106

Step-by-step explanation:

3^4=81

5·5=25

81+25=106

Answer:

-90

Step-by-step explanation:

10 - 10 x 10  

10 x -10 = -100   (always do multiplication first)

-100 + 10 = -90

Answer: The answer to this basic math question with a basic given math expression is -90.

Step-by-step explanation: Mmmm, that was super extremely easy, so anyways, here are 3 basic steps in order to evaluate the given basic math expression:

Step 1. First, let's input the original basic equation that looks in the basic equation form like this: \(10 - 10 * 10.\)

Step 2. After we input the original basic equation, next, let's do the multiplication first by multiplying 10 by 10 that looks in the basic equation form like this: \(10 - 100.\)

Step 3. Last but not least is after we multiply 10 by 10 first, finally, let's subtract 10 and 100, and therefore your answer to this basic math question with the given basic math expression is -90.

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own basic math question with the given basic math expression, please take care, always be safe, and have a great rest of the holiday winter break, Merry Christmas and a happy new year! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Given data

The given length of OP is 7.5 in

The given length of PQ is 3.5 in