563 pints equals how many cups

Answer: 1,126 cups

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Answer:

Step-by-step explanation:

el

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

Norma performed best on the aptitude test and should be offered the job.

Step-by-step explanation:

We are given that three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4.

Now, to find which of the applicants should be offered the job, we have to find the z-score of each of the applicants, and the one who gets the highest z-score will get the job.

The z-score probability distribution for the normal distribution is given by;

                            Z = \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = mean and \(\sigma\) = standard deviation

Firstly, we will find the z-score for Tobias;

The z-score of 74.7 = \(\frac{X-\mu}{\sigma}\)

                                 = \(\frac{74.7-61.7}{13}\) = 1

Now, we will find the z-score for Norma;

The z-score of 351 = \(\frac{X-\mu}{\sigma}\)

                               = \(\frac{351-291}{25}\) = 2.4

Now, we will find the z-score for Vincent;

The z-score of 7.38 = \(\frac{X-\mu}{\sigma}\)

                                 = \(\frac{7.38-6.9}{0.4}\) = 1.2      

As we can clearly see that the z-score is highest for Norma which means that Norma performed best on the aptitude test and should be offered the job.

Step-by-step explanation:

HI tkando45

To write as a polynomial, just multiply every term int he first parenth by every term in the second parentheses.

It is like distributing:

For Example

a2(a-4) - 2a(a-4) + 3(a-4)

a3 - 4a2 - 2a2 + 8a + 3a - 12

Now combine like terms:  

a3 - 6a2 + 11a -12   <----  that is your polynomial

now use the above examples and calculate ur question

The volume of the expression is 21 + 162x² - 54x

The formula for volume is a mathematical expression that is used to find the total space occupied by any three-dimensional object.

Given the expression;

7+9x(6-2)

The volume would be 3 multiplied by the expression:

3{ 7 + 9x(6x -2)}

expand the brcaket

3 { ( 7 + 54x² - 18x)}

Mulitply through
21 + 162x² - 54x

Thus, the volume of the expression is 21 + 162x² - 54x

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Answer:

1/4 I think

You haven't said which number line, so please provide some context.

Answer:

i dont know what a number bound is but

16*9 - 5*9 = 144 - 45 = 99

Hope this helped and brainliest please

Answer:

1 2/9

Step-by-step explanation:

\(\frac{16}{9} -\frac{5}{9} =\frac{11}{9} \\\)

\(\frac{11}{9} = 1\frac{2}{9} \\\)

I think this is what the question is asking for

Answer:

m = 0

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

The population of Australia in 2018 was 24.909 million.

Given: The population of Sydney in 2018 = 5.48 million

           This population of Sydney is equal to 22 % of the total population of Australia.

To find: Total population of Australia

Solution:

According to the Question,

Total population of Australia * 22% = total population of Sydney

Total population of Australia * 22/100  = 5.48 million

                                                                = 5.48 million * 100/22

                                                                = 24.909 million (approx.)

Hence, the population of Australia in 2018 was 24.909 million.

The total population of Australia in 2018 was 24.90 million.

A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.

Given that, the population of Sydney was 5.48 million, which was 22% of the total population of Australia.

We need to find the total population of Australia.

Let the total population of Australia be y.

Therefore,

y × 22% = 5.48

y = 5.48 × 100/22

y = 24.90

Hence, the total population of Australia in 2018 was 24.90 million.

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Answer:

So, the vertex form of your function is  \(y(x)=2*(x+2)^2-7\).

The vertex is at \((-2|-7)\)

Step-by-step explanation:

Given function:

\(y(x)=2*x^2+8x+1\)

Steps:

\(y(x)=2*x^2+8x+1\\\)

\(y(x)=2(x^2+4x+\frac{1}{2} )\)    (Factor out)

\(y(x)=2(x^2+4x+2^2-2^2+\frac{1}{2} )\)  (Complete the square)

\(y(x)=2((x+2)^2-2^2+\frac{1}{2} )\)  (Use the binomial formula)

\(y(x)=2((x+2)^2-\frac{7}{2} )\)  (Simplify)

\(y(x)=2*(x+2)^2-7\) (Expand)

Answer:

option D

Step-by-step explanation:

the values of x are where the graph meets the x-axis.

both values of x are found, in this case, using the quadratic formula,

x = ((-b ± √(b² - 4ac)) ÷ 2a)

our equation is y = 3x² + 5x + 1.

so -5 is -b, b² is (-5)² = +25.

4ac = 4(3)(1) = 12.

√(b² - 4ac) = √(25 - 12) = √13.

2a = 2(3) = 6.

inputting the given equations of x, we get answers of -0.2 and -1.4.

option D is what we want.

Answer:

The 12 magnets for $34.68 as the unit price is lower.

Step-by-step explanation:

→ Find the cost per magnet for 12

34.86 ÷ 12 = $2.89

→ Find the cost per magnet for 3

9.57 ÷ 3 = $3.19

Answer:

-3x² + 12x + 2

Step-by-step explanation:

\(-3(x-2)^2+14\\-3(x-2)(x-2)+14\\-3(x^2-4x+4)+14\\-3x^2+12x-12+14\\-3x^2+12x+2\)

Answer:

The answer is **FD = 1.52**.

Since triangle ABC ~ triangle DEF, we know that the ratio of their corresponding sides is equal. So, we have:

```

AB/DE = AC/DF = BC/EF

```

We are given that AB = 11, DE = 2.2, and AC = 7.6. Substituting these values into the first equation, we get:

```

11/2.2 = 7.6/DF

```

Cross multiplying, we get:

```

11 * DF = 2.2 * 7.6

```

```

DF = (2.2 * 7.6) / 11

```

```

DF = 1.52

```

Step-by-step explanation:

Answer: hi

Step-by-step explanation: hi

Describe the change in the amount over time,

For instance, if you have a graph of this type you can describe it using the linear function

f(x)= mx+b

The slope is m = (y2-y1)/(x2-x1))

Point 1 = (x1,y1)

Point 2 = (x2,y2)

and b is the y-intercept

The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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Answer:

96 ft

perimeter: total sum of all sides

[ let counting begin from further left side ]

solve:

→ 9 + 9 + 9 + 9 + ( 30 - 18 ) + 9 + 30 + 9

→ 96 ft

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

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Answer: 475 Add 5 more.

Step-by-step explanation:

Answer:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Step-by-step explanation:

To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.

Given:

Cruise ship velocity (south): 22 mph

Gulf Stream velocity (east): 4 mph

A) Vector component for the cruise ship:

The cruise ship is traveling south, so its velocity vector is (0, -22).

B) Vector component for the Gulf Stream:

The Gulf Stream is flowing east, so its velocity vector is (4, 0).

C) Resultant vector:

To find the resultant vector, we'll add the two velocity vectors together:

Resultant vector = Cruise ship velocity + Gulf Stream velocity

Resultant vector = (0, -22) + (4, 0)

Resultant vector = (0 + 4, -22 + 0)

Resultant vector = (4, -22)

D) Resultant velocity:

The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:

Resultant velocity = sqrt((x-component)^2 + (y-component)^2)

Resultant velocity = sqrt((4)^2 + (-22)^2)

Resultant velocity = sqrt(16 + 484)

Resultant velocity = sqrt(500)

Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)

E) Resultant direction:

The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.

Resultant direction = arctan(y-component / x-component)

Resultant direction = arctan(-22 / 4)

Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)

Therefore, the answers are:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Answer:

4 cups=2 pint

3 cups=1.5 pint

5 cups=2.5 pints

Step-by-step explanation:

Because there are 2 cups in each pint, we can divide the number of cups by two to get the number of pints.

4/2=2

3/2=1.5

5/2=2.5

Let me know if you have any questions!

1/6 hour over 2/3 hour

1/6 = numerator, 2/3 = denominator

unit rate = numerator / denominator

unit rate = (1/6) ÷ (2/3)

unit rate = (1/6) * (3/2)

unit rate = (1 * 3) / (6 * 2)

unit rate = 3/12 = 1/4

unit rate = 1/4