How should I work out the least amount of money she needs

Answer:

a = 15

Step-by-step explanation:

The formula to solve for the above diagram is given as:

Sum of the interior angles in a circle = 360°

(10a - 4)° + (6a - 2)° + (8a + 6)° = 360°

10a - 4 + 6a - 2 + 8a + 6 = 360

24a -6 + 6 = 360°

24a = 360

a = 360/24

a = 15

Answer:

Shredder A shreds about 3.67 pounds of paper per minute.

Step-by-step explanation:

1100 pounds/(5 * 60 minutes)

1100 pounds/300 minutes

3.6666...7 pounds/minute

3.67 lb/min

Answer:

300-21=279

Step-by-step explanation:

The probability that a customer will use plus gas and fill the tank is 0.21 or 21%.

Let's use the following notation:

R: the event that a customer uses regular gas

P: the event that a customer uses plus gas

M: the event that a customer uses premium gas

F: the event that a customer fills their tank

We are given:

P(R) = 0.4, P(P) = 0.35, P(M) = 0.25

P(F|R) = 0.3, P(F|P) = 0.6, P(F|M) = 0.5

We want to find P(P and F), the probability that a customer uses plus gas and fills their tank. We can use the following formula:

P(P and F) = P(F and P) = P(F|P) * P(P)

Substituting the values, we get:

P(P and F) = P(F|P) * P(P) = 0.6 * 0.35 = 0.21

Therefore, the probability that a customer will use plus gas and fill the tank is 0.21 or 21%.

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Based on the given information, the statement "if two lines intersect, then their intersection is exactly one point" best justifies the conclusion. This is because the definition of intersection is the point where two lines meet or cross each other. Therefore, when two lines intersect, they can only intersect at one point.

The other statement "through any two different points, exactly one line exists" is not relevant to the conclusion about the intersection of lines.

To summarize, the statement that best justifies the conclusion is that if two lines intersect, then their intersection is exactly one point.

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Answer:

The correct answer is 5b²-b-2

We are given the equation:

\({:\implies \quad \sf -2.1-\underline{?}=-1\dfrac12}\)

Let assume the unknown value be x, so that:

\({:\implies \quad \sf -2.1-x=-\dfrac32}\)

\({:\implies \quad \sf x-1.5=-2.1}\)

\({:\implies \quad \sf x=1.5-2.1=\boxed{\bf -0.6}}\)

Hence, Option c) is correct

The inequality which correctly represents the situation of the Lakeside hotel as described is; 28x + 98y ≤ 14,400.

It follows from the task content that;

x = the number of single rooms and

y = the number of suites

Hence, since single rooms take up 28 square meters; it follows that for x single rooms; we have; 28x.

Also, since suites take up 98 square meters; it follows that for y suites; we have; 98y.

Ultimately, since there are a maximum of 14,400 square meters available, the required inequality which represents the land use situation of the Lakeside hotel is; 28x + 98y ≤ 14,400.

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Answer:

35w x m

Step-by-step explanation:

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit.

Linear equation are those in which power is 1 or maximum degree is 1. For example: x + y = 3 here the maximum degree is 1.

Quadratics equation are those in which power is 2 or maximum degree is 2. For example: X² + 6X + 3 = 0. here the maximum degree is 2.

Here, we have given two equation:

Y = 3X

Y = 6X²

To find the limit we will equate the both equation:

3X = 6X²

6X² - 3X = 0

3X ( 2X - 1 ) = 0

here we get two values of X, X = 0 and X = 1/2

so, Lower limit = 0 and Upper limit = 1/2.

Area = \(\int\limits^ \frac{1}{2} _0 {(3x - 6x^{2} ) } \, dx\)

Area = ( 3/2 ( x ⁸ )  - 2 ( x³ ) )          --- Limit from: 0 to 1/2

Area = (3/2 ( 1/2 ² ) - 2 ( 1/2 ³) ) - ( 3/2 ( 0² ) - 2 ( 0³) )

Area = 3/8 - 1/4 - 0 + 0

Area = 1/8 sq. unit

Hence,

The area of the region enclosed by the curves: Y = 3X and Y = 6X² is

1/8 sq. unit. For graph See the attached image.

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Answer:

I cannot answer that but here is an example problem to help.

Step-by-step explanation:

The perimeter of a square can be found using the following formula:

Where "s" is the length of any side of the square.

Then, an expression that represents the perimeter of a square can be:

You know that it must be greater that 90 inches be less than 108 inches. Then, using this information, you can set up that:

Now, in order to find the range of possible side lengths asked in the exercise, you need to divide 90 and 108 by 4, as you can see below:

Answer:

See below.

Step-by-step explanation:

We are asked to find measures of the unknown sides for the given area.

Let's keep in mind that a rectangle's area is; \(Area = (width) \times (height)\)

One simple way to find all of the possible side lengths is to find all of the factors of 16.

Factors are 2 whole numbers that multiply together to have the product of that given number.

Think of how many ways we can get to 16 by multiplying 2 numbers.

\(f_{1} \times f_{2} = 16\\f \ represents \ a \ factor.\)

Here's all of the possible ways we can get to 16 with whole numbers.

\(8 \times 2 = 16\\4 \times 4 = 16\\2 \times 8 = 16\\1 \times 16 = 16\\16 \times 1 = 16\)

Remember that the Width and Length of a Rectangle can have different values even with the same numbers multiplied.

\((8 \times 2) \ and \ (2 \times 8)\\Length \ can \ equal \ 2, \ or \ 8.\\Width \ can \ equal \ 8, \ or \ 2.\)

These are all of the possible answers.

Answer:

;-;

Step-by-step explanation:

Answer:

um ‍♀️‍♀️‍♀️‍♀️

The probability that the student chosen will be a boy who watched tennis yesterday is 1/8.

Given that 56 students were asked if they watched tennis yesterday, 20 of the students are boys, 17 girls watched tennis yesterday and 32 students did not watch tennis yesterday and out of all these one students is to be chosen at random.

We have to find the probability that the student chosen will be a boy who watched tennis yesterday.

Total number of students is 56.

The total number of girls is 56-20=36

Girls who didn't watch tennis is 36-17=19

Number of the boys who did not watch the game is 32-19=13

Number of boys watching a tennis match is 20-13=7

Now, we will find the probability that the student chosen will be a boy who watched tennis yesterday.

Probability=Number of boys watching a tennis match/Total number of students
Probability=7/56

Probability=1/8

Hence, the probability that the student chosen will be a boy who watched tennis yesterday when 56 students were asked if they watched tennis yesterday is 1/8.

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Therefore , the solution of the given problem of unitary method comes out to be  a 31 point difference out of 100 is the best estimate for the mean grade difference.

By employing what has been learned, utilising this global access, and combining all crucial elements from prior variable researchers who followed a certain methodology, the mission can be completed. The entity mentioned in the statements can thus either be further discovered or both crucial procedures will unquestionably overlook the expression if the appropriate claim outcome occurs. A recoverable deposit of Rs ($1.21) may be needed for fifty pens.

Here,

We can easily calculate the difference in mean grades between two groups by deducting the one-at-a-time group's average grade from the mixed practise group's average grade:

=> 83 - 52 = 31

Consequently, a 31 point difference out of 100 is the best estimate for the mean grade difference between the freshmen whom studied mixed problems and those who studied each learning objective separately.

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Answer:

480 cm³

Step-by-step explanation:

volume = width × heigh × length

volume = 10 cm × 8 cm × 6 cm

volume = 480 cm³

Hope it Help~

Answer:y = 4x-5.

Step-by-step explanation:

The value of x in the equation \(1,331x^3 - 216 = 0\) is approximately 0.541.

A formula is a mathematical expression of a significant relationship between two or more variables.

By first isolating x and then calculating the cube root of both sides, we may find the solution to the equation 1,331x3 - 216 = 0 for x:

\(1,331x^3 - 216 = 0\)

\(1,331x^3 = 216\)

\(x^3 = 216/1,331\)

\(x^3 = 0.162\)

As a result of taking the cube roots of both sides,

x = 0.541

As a result, x in equation 1,331x3 - 216 = 0 is almost equal to 0.541.

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Answer:

80 did i go fast enough

Step-by-step explanation:

For the scientific method , the true statement about the hypothesis is  (b) research studies are designed to prove a hypothesis.

The term Hypothesis is defined as the observation which is proposed as the possible outcome or results of an experiment .

we know that ; in order to prove a hypothesis, the experiments are designed and after that they are performed based on given hypothesis.

That is how the experiments are designed based on a previous idea which may result in a particular outcome.

So , any hypothesis is dependent on a specific experiment( research studies) .

Therefore , the correct option is (b) .

The given question is incomplete , the complete question is

In the scientific method, which of the following is true about a hypothesis?

(a) the same hypothesis may not be tested more than once.

(b) research studies are designed to prove a hypothesis.

(c) a specific hypothesis is generated based on an established theory.

(d) a hypothesis both explains and predicts a phenomenon.

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Answer:

$180

Step-by-step explanation:

$225 times .20 = 45 .   225-45=180

Answer:

$180

Step-by-step explanation:

Find 1% of the price.

100% = 225

1% = 225 ÷ 100 = 2.25

100 - 20 = 80% (Percentage of sale price)

80% = 2.25 x 80 = 180

If \(x^{2}\) ≡ n (mod 65) has a solution, then so does \(x^{2}\) ≡ -n (mod 65).

Let \(x^{2}\) ≡ n (mod 65). By definition, there exists an integer k such that\(x^{2}\) = n + 65k. Now, we want to prove that \(x^{2}\)≡ -n (mod 65) has a solution.

We know that 65 is an even number, therefore\(-1^{2}\) ≡ 1 (mod 65).

Therefore, (-1)\(x^{2}\) ≡ -n (mod 65).

Now, multiplying both sides of the equation \(x^{2}\)= n + 65k by (-1) yields (-1)\(x^{2}\) = -n - 65k.Adding 65k to both sides, we have (-1)\(x^{2}\)+ 65k = -n.

Therefore, (-1)\(x^{2}\)≡ -n (mod 65).If \(x^{2}\) ≡ n (mod 65) has a solution, then so does\(x^{2}\) ≡ -n (mod 65).

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Take the root of both sides and solve.

X = 12, -12

Answer:

that looks hard

Step-by-step explanation:

Answer:

368.1

Step-by-step explanation:

122.7 x 3 = 368.1

Answer:

368.1 calories

Step-by-step explanation:

122.7 x 3

Answer:

7 and 4

Step-by-step explanation:

Answer:

7 and 4

Step-by-step explanation:

7 x 4 = 28

&

7 + 4 = 11

We are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

In the given scenario:

The boldface number "12.2" represents a statistic.

The boldface number "15.1" represents a statistic.

A statistic is a numerical value that summarizes a sample of data, while a parameter is a numerical value that summarizes a population.

In this case, we are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

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