If Clancy had 3 people that decided not to come after he purchased the yogurt for the party, what equation could he use to determine the new serving size Clancy and each guest could have?

Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

2.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

Answer:

154

Step-by-step explanation:

the formula for the area of a trapezoid is (base+base/2)*height:

12+16=28

28/2=14

14x11=154

Answer is 154

Answer:

6 1/2 hours

Step-by-step explanation:

3 1/2 + 1/2 + 2 1/2

4 + 2 1/2

6 1/2

First add the 3 1/2 and the 1/2 together to get 4. Then you add the 2 1/2 to the 4 to get 6 1/2. :)

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Answer: 12hrs 30mins

Step-by-step explanation: 3hrs 30mins + 3hrs + 6hrs = 12hrs 30mins

Hope that helps!

The simplified expression of the complex number 6! - 3! is another complex number 6i(1 - 0.5)

The complex number expression is given a:

6! - 3!

Factor out i from the expression

6! - 3! = i(6 - 3)

Factor out 6 from the expression

6! - 3! = 6i(1 - 0.5)

The above means that the simplified expression of the complex number 6! - 3! is 6i(1 - 0.5)

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Answer:

2x - 6 = 20

2x - 6 + 6 = 20 + 6

2x = 26

x = 13

The number should be 13

Step-by-step explanation:

Based on the information given the commission rate is 19%.

To determine the commission rate we would have to divide the sales commission by the merchandise using this formula

Commission rate=Sales commission/Merchandise×100

Where:

Sales commission=$418

Merchandise=$2,200

Let plug in the formula

Commission rate=$418/$2,200×100

Commission rate=19%

Inconclusion  the commission rate is 19%.

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Given data:

The first given length is t=4.1 inches.

The second given length is r=7.1 inches.

The given angle is S= 45 degrees.

The expression for the cosine rule is,

Substituute the given values in the above expression.

Thus, the value of s is 5.1 inches.

Answer:

0.628

Step-by-step explanation:

From the information given:

Let S represent sunny days and C represent cloudy days;

S is expressed in the matrix to be in the first row and first column

C is expressed in the matrix to be in the second row and second column

Then, the transition for the probability matrix can be computed as follows:

\(P = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^2 = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right] \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^2 = \right. \left[\begin{array}{cc}0.49+0.15&0.21+0.15\\0.35+0.25&0.15+0.25\\\end{array}\right] \right.\)

\(P^2 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right.\)

\(P^3 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right. \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^3 = \right. \left[\begin{array}{cc}0.628&0.372\\0.62&0.38\\\end{array}\right] \right.\)

So, if it is sunny, the probability that it is going to be sunny 3 days later = 0.628

Using the transition of the events, it is found that there is a 0.628 = 62.8% probability that it will be sunny 3 days later.

The transition of events, considering that it is sunny today and we want it to be sunny 3 days later, is given by:

S - S - S - S

S - C - S - S

S - S - C - S

S - C - C - S

Considering the probabilities stated in the exercise(S - S: 0.7, S - C: 0.3, C - S: 0.5, C - C: 0.5), for the last three days, the probability is:

\(p = 0.7^3 + 0.3(0.5)(0.7) + 0.7(0.3)(0.5) + 0.3(0.5)(0.5) = 0.628\)

0.628 = 62.8% probability that it will be sunny 3 days later.

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The number of horse is 1, goat is 2 and sheep is 3 a man has.

The problem we are dealing with is related to the linear equation which is referred to as the algebraic condition where each term has an exponent of 1 and when this condition is graphed, it continuously comes about in a straight line.

Now w consider x to be the number of sheep, y to be the  number of  goats, and z to be the number of horses the man owns.

the actual equation for the total number of animals he owns  is :

x+ y+ z

according to the first condition:

that all sheep bar three, means

y+ z=3

similarly, for the other condition, it will be

x+ z=4   and x+ y=5

Now we adding the three  equations:

y + z +x +z +x +y=5+4 +3

2(x+y+z)=12

x+y+z=6........equation(1)

As x + y = 5

Put this in equation in (1), we get

x+y+z = 6

5 + z = 6

z = 1

x + z = 4

x + y + z = 6

y + 4 = 6

y = 2

Now we know

x + y + z = 6

x + 1 + 1 = 6

x = 4

So simplifying the other equation  we get, that the number of horse is 1, goat is 2, and sheep is 4.

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Answer:

Step-by-step explanation:

Given angles are vertical angles

Vertical angles are equal as per vertical angles theorem

The angles measure

Answer: answer is C

Step-by-step explanation:

for find x
(5x+30)+5x=90
 5x+30+5x=90 add like terms
after,
 10x+30=90
10x+30-30=90-30
 10x/10=60/10
   x = 6

to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90

The difference in the interest accrued by the end of the first month, given the credit rating and the cost is $ 21. 97

First, find the amount borrowed to pay for the new car or the used car.

New car :

= ( 19, 072 x ( 1 + 4. 5 % sales tax )) - 1, 200 down payment

= $ 18, 730. 24

The used car :

= 15, 635. 00 x ( 1 + 4. 5 %) - 1, 200

= $ 15, 138. 58

The difference in interest at the first month is :

= ( Amount borrowed for new car x Monthly APR for fair credit rating ) - ( Amount borrowed for old car x Monthly APR for fair credit rating )

= ( 18, 730. 24 x 7. 55 % / 12 ) - ( 15, 138. 58 x 7. 60 % / 12 )

= $ 21. 97

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12121211.ooooooooooo

Using a linear function, it is found that the monthly cost for 19 HCF is of $41.43.

A linear function, in slope-intercept format, is modeled according to the rule presented below:

y = mx + b

In which the parameters of the function are described as follows:

As stated in the problem, the slope is of 1.45, hence:

y = 1.45x + b.

The monthly cost for 22 HCF is $45.78, hence when x = 22, y = 45.78, meaning that the intercept b can be found as follows:

45.78 = 1.45(22) + b

b = 45.78 - 1.45 x 22

b = 13.88.

Then the function is:

y = 1.45x + 13.88.

And the cost for 19 HCF is given by:

y = 1.45(19) + 13.88 = $41.43.

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Answer:

4 and 3/2

Step-by-step explanation:

\(x = 4 \)

\(2x = 3 \\ x = \frac{3}{2} \)

Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.

A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.

B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.

C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.

D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.

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On a number line, 7.05 would be located

From the question, we have the following parameters that can be used in our computation:

Number = 7.05

The analysis of its position s as follows:

So, the true statements are B and C.

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Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer:

1/36

Step-by-step explanation:

A die can roll a 1,2,3,4,5,6

P (5) = number of 5's / total

        = 1/6

The 2nd roll is independent so the probability is the same

P (5) = number of 5's / total

        = 1/6

P(5, 5) = 1/6*1/6 = 1/36

Answer:

Step-by-step explanation:

If x = 0, f(x) = -15.

If f(x) = 27, x = 3.

The people that would not be sampled would be:

We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.

The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.

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\(\angle 1=150^{\circ}\) (linear pair)

\(\angle 2=30^{\circ}\) (vertical angles)

\(\angle 4=150^{\circ}\) (linear pair)

\(\angle 5=83^{\circ}\) (linear pair)

\(\angle 6=97^{\circ}\) (vertical angles)

\(\angle 8=83^{\circ}\) (linear pair)

Answer:

Orange and pink, I'm not too sure

Answer:

Orange and pink.

Step-by-step explanation:

Because there shapes are same.

Using proportions we know that a 5-oz serving contains 12g of carbohydrates.

So, the carbohydrates in a 5-oz serving:

Now, calculate as follows:

Therefore, using proportions we know that a 5-oz serving contains 12g of carbohydrates.

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Answer:

option A : 25

Step-by-step explanation:

Given :

P = (- 6, 7) , Q = ( 2 , 1 ) , R = ( -1 , -3)

Find the length of PQ ,QR , PR.

Using distance formula to find the lengths.

\(distance = \sqrt{(x_2 - x_1 )^2 + (y_ 2- y_1)^2\)

\(PQ = \sqrt{(2 -- 6)^2 + (1-7)^2} = \sqrt{8^2 + 6^2 } = \sqrt{64 + 36 } =\sqrt{100} = 10\\\\QR = \sqrt{(2 --1)^2 + (-3-1)^2}= \sqrt{3^2 + 4^2} =\sqrt{9+ 16} =\sqrt{25} = 5\\\\PR = \sqrt{(-1--6)^2 + (-3 -7)^2} = \sqrt{5^2 + 10^2} = \sqrt{25 + 100} = \sqrt{125}\)

Clearly , the triangle satisfies Pythagoras theorem :

Square of larger side = Sum of squares of other sides.

Therefore , PQR is a right triangle,

with base = 5, height 10 and slant height(hypotenuse) = \(\sqrt{125}\) .

\(Area = \frac{1}{2} \times base \times height\)

       \(=\frac{1}{2} \times 5\times 10\\\\= 5 \times 5 \\\\= 25 \ square\ units\)

Answer:

To solve this problem, we need to first convert the number of quarts to liters. To do this, we can multiply the number of quarts by the conversion factor from quarts to liters, which is 0.946 L/qt.

4 qt * 0.946 L/qt = 3.784 L

Therefore, the answer is 3.784 liters. The correct answer is therefore (A).

The car needs 4 quarts of oil, which is equivalent to 3.784 liters. So, when the engine is filled to capacity, it will use all 3.784 liters of oil and none will be left over.

The car needs 4 quarts of oil. As 1 quart is equivalent to 0.946 liters, we first need to convert the requirement into liters. Therefore, 4 quarts is equivalent to 4 * 0.946 = 3.784 liters.

If the engine is filled to capacity and only liters are available, then the engine will take all 3.784 liters of oil. As such, since the engine uses all the oil, none will be left over. Therefore, the correct answer should be 0 liters left, which is not provided in the answer choices A-D provided.

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