grace read 1/3 of a book in the morning some at night and by the end of the day she still had 2/5 left how much did she read at night

Answer:

he made $360

Step-by-step explanation:

25% of 240

240 × 25 ÷ 100 = 60

his neighbor got 60 orange

remainder is 3/4 or 75 %

75% of 240

240 × 75 ÷ 100 = 180

1/3 of 180

1/3 × 180 = 60

he niece got 60 orange

remainder of orange is 2/3

2/3 = 2/3 × 180 = 120

120 ÷ 5 = 24

he sold 24 bags of orange

24 × 15 = $360

he made $360 from his orange

The sum of the angle measures of the polygon is 540°, the value of x is 5.

The sum of the angle measures of the polygon is 540°.

We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°

If a polygon has x sides, then the sum of its angle measures can be found using the formula:

Therefore, for a polygon with x sides, the equation becomes:

⇒(x-2) * 180° = 540°

Solving for x, we get:

⇒x = (540° + 360°) / 180° + 2

⇒x = 3 + 2

⇒x = 5

So, the polygon has 5 sides.

Therefore, the value of  x is 5.

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To change the chart style to style 42 (2nd column 6th row), follow these steps:

1. Select the chart you want to modify.
2. Right-click on the chart, and a menu will appear.
3. From the menu, choose "Chart Type" or "Change Chart Type," depending on the version of the software you are using.
4. A dialog box or a sidebar will open with a gallery of chart types.
5. In the gallery, find the style labeled as "Style 42." The styles are usually represented by small preview images.
6. Click on the style to select it.
7. After selecting the style, the chart will automatically update to reflect the new style.

Note: The position of the style in the gallery may vary depending on the software version, so the specific position of the 2nd column 6th row may differ. However, the process remains the same.

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Answer:

simplify the expression the answer would be 65.

Step-by-step explanation:

hope this helps.

Answer:

65

Step-by-step explanation:

I used a calculator if I used my brain it would be wrong.

Answer:

∠A + ∠C=90°(Right angle triangle)

37+∠C=90°

∠C=90°-37°

∠C=53°

Hope it helped you:)

Answer:

∠A + ∠C=90°(Right angle triangle)

37+∠C=90°

∠C=90°-37°

∠C=53°

Step-by-step explanation:

The expected number of adults who prefer coffee is 150.

We must determine the anticipated number of adults who prefer coffee in order to test for independence between age and drink preferences.

First, let's look at the totals of the rows and columns to figure out the expected values for each category. The formula is available to us:

Anticipated esteem = (Line absolute * Section complete)/Stupendous aggregate

The stupendous complete for this situation is 1000.

Number of adults expected to prefer coffee:

= (Adults total minus Coffee total) / Grand total = (600 minus 250) / 1000 = 150; consequently, 150 adults are anticipated to prefer coffee.

In this way, the right response is (a) 150.

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6

6/3

isthe simplestform pls markme as brainlist

Answer:

das tough luke 2r892093427-4t70534688-3579049730957

Step-by-step explanation:

853047017=+3r408703471q8udiow

From the computation done, it can be denoted that the total price that will be paid will be $12.90.

1 Krispy Kosmos at $2.89 = $2.89

2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38

1 Gooey Globs at $2.99 = $2.99

Total = $2.89 + $6.38 + $2.99 = $12.26

We'll then add the sales tax of 5.2%, therefore, the total value will be:

= $12.26 + (5.2% × $12.26)

= $12.26 + $0.638

= $12.90

In conclusion, the correct option is $12.90.

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Answer:

C

Step-by-step explanation:

Edg 2022

The system of equations is: r + s = 181 and r - s = 119. There are 31 state senators and 150 state representatives in the Texas State Legislature.

A. Let "r" be the number of state representatives and "s" be the number of state senators. We know from the problem that:

r + s = 181 (the sum of the number of representatives and senators is 181)

r - s = 119 (the difference of the number of representatives and senators is 119)

So the system of equations is:

r + s = 181

r - s = 119

B. To solve this system of equations, you can use the first equation to solve for one of the variables in terms of the other. Let's solve for "r" in terms of "s":

r = 181 - s

Now we can substitute this expression for "r" into the second equation:

(181 - s) - s = 119

Simplifying, we get:

181 - 2s = 119

2s = 62

s = 31

So there are 31 state senators in the Texas State Legislature. To find the number of representatives, we can use the first equation and substitute in the value of "s" that we just found:

r + 31 = 181

r = 150

So there are 150 state representatives in the Texas State Legislature.

Therefore, The system of equations is: r + s = 181 and r - s = 119. There are 31 state senators and 150 state representatives in the Texas State Legislature.

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Answer:

2*2*11

Step-by-step explanation:

44 = 4*11

But 4 isn't prime

  = 2*2*11

All of these are  prime

Answer: x = 60

Step-by-step explanation:

the equation is a^2 + b^2 = c^2.

If you draw out the problem, you plug in the information into the formula, so it would be...

x^2 + 80^2 = 100^2.

80^2 = 6,400 and 100^2 = 10,000.

x^2 + 6,400 = 10,000.

You subtract 6,400 from itself and 10,000 and then you get...

x^2 = 3,600.

You square both of those and your final answer will be x = 60.

The probability of passing the exam, given that the lowest passing grade is 6 correct out of 8, is approximately 0.1445 or 14.45%.

To find the probability of passing the exam if the lowest passing grade is 6 correct out of 8, we need to calculate the probability of getting 6, 7, or 8 questions correct.

In an 8-question true-false exam, there are 2 possible outcomes (true or false) for each question. Therefore, the total number of possible outcomes for answering 8 questions is 2^8 = 256.

To determine the number of ways to get exactly 6, 7, or 8 questions correct, we can use combinations. The number of ways to choose k items from a set of n items is given by the combination formula:

C(n, k) = n! / (k! * (n-k)!)

For 6 questions correct:

C(8, 6) = 8! / (6! * (8-6)!) = 28

For 7 questions correct:

C(8, 7) = 8! / (7! * (8-7)!) = 8

For 8 questions correct:

C(8, 8) = 8! / (8! * (8-8)!) = 1

Therefore, there are 28 + 8 + 1 = 37 ways to pass the exam (getting 6, 7, or 8 questions correct).

The probability of passing the exam is the ratio of the number of favorable outcomes (passing) to the total number of possible outcomes:

P(passing) = number of favorable outcomes / total number of possible outcomes

P(passing) = 37 / 256 ≈ 0.1445

So, the probability of passing the exam, given that the lowest passing grade is 6 correct out of 8, is approximately 0.1445 or 14.45%.

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The correct answers are:

a. less a discount to yield 6.20%

d. plus a premium to yield 6.36%

Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.

To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.

a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.

b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.

c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.

d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.

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Answer:

\(-3x-12y\)

Step-by-step explanation:

Answer:

(a) AA Similarity using alternate interior angles

(b) 6.3

Step-by-step explanation:

(a)

Triangles ABD and BDC have a given pair of congruent angles, angles ABD and BCD.

With parallel lines AB and DC and transversal BD, then alternate interior angles ABD and BDC are congruent.

Now we have two pairs of congruent corresponding angles, so by AA Similarity, triangles ABD and BDC are similar.

(b)

Triangles ABD and BDC are similar.

The ratios of the lengths of corresponding sides are equal.

AB/BD = AD/BC

4/6 = 4.2/BC

4BC = 6 × 4.2

BC = 6.3

Answer:

31

Step-by-step explanation:

\(4^{2}\)=16

16+15=31

Answer:

75

Step-by-step explanation:

prime factorization of

150= 2×3×5×5.

and

375= 3×5×5×5

taking common prime factors from both numbers

so HCF = 3×5×5 = 75

\(\begin{array}{r|l}150&2\\75&3\\25&5\\5&5\\1\end{array}\\\\150=2\cdot3\cdot5^2\\\\\begin{array}{r|l}375&3\\125&5\\25&5\\5&5\\1\end{array}\\\\375=3\cdot5^3\\\\\text{hcf}(150,375)=3\cdot5^2=75\)

Answer:

x = 0 and x = 1

Step-by-step explanation:

From the table of values

f(x) = g(x) = 1 when x = 0 , and

f(x) = g(x) = 0.25 when x = 1

The solution to f(x) = g(x) are x = 0 and x = 1

Answer:

given ,

\(\bold{ZH = (11x - 29)}\)

Also ,

\(\bold{x = 19}\)

substituting the value of x in the value of ZH , we get

\(\bold{ZH = 11(19) - 29 }\\\bold{ ZH = 209 - 29 }\\ \bold\blue{ZH = 180}\)

hope helpful~

The measure of ∠H is 180 degrees, which is a straight angle.

An angle with a measure of exactly 180 degrees is called a straight angle. It is an angle with arms that point in opposing directions from the vertex and unites to make 180°.

The given measure of ∠H is (11x - 29).

To determine the measure of ∠H when x = 19, we can simply substitute x = 19 into the expression for the measure of ∠H:

∠H = 11x - 29

∠H = 11(19) - 29

∠H = 209 - 29

∠H = 180

Here, ∠H has a measure of 180 degrees, which is a straight angle.

Therefore, the measure of ∠H when x = 19 is 180 degrees.

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The probability of losing less than $72 in total is 0.68.

To find the probability of losing less than $72 in total, we need to first calculate the expected loss for each game and then use the law of total probability to find the overall probability.

First, let's calculate the expected loss for each game. The expected loss for the first game is 36 * -2 = -72, and the expected loss for the second game is 50 * -1.5 = -75.

Now, we need to use the law of total probability to find the overall probability of losing less than $72 in total. The law of total probability states that the probability of an event occurring is the sum of the probabilities of the event occurring under each possible condition. In this case, the possible conditions are losing less than $72 in the first game and losing less than $72 in the second game.

So the overall probability of losing less than $72 in total is:

P(losing less than $72) = P(losing less than $72 in first game) + P(losing less than $72 in second game) - P(losing less than $72 in both games)
= (36/100) + (50/100) - (36/100) * (50/100)
= 0.36 + 0.5 - 0.18
= 0.68

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60 ounces of iodine worth 20 cents per ounce must be mixed with 40 ounces of iodine worth 15 cents per ounce to create a mixture worth 18 cents per ounce.

We have,

Let x be the number of ounces of iodine worth 20 cents per ounce that must be mixed.

The total amount of iodine after mixing is x + 40 ounces, and the total value of the mixture is (20x + 15(40)) cents.

The problem can be expressed as the equation:

(20x + 15(40))/(x + 40) = 18

Multiplying both sides by (x + 40) gives:

20x + 600 = 18(x + 40)

Expanding the right side gives:

20x + 600 = 18x + 720

Subtracting 18x and 600 from both sides gives:

2x = 120

Dividing both sides by 2 gives:

x = 60

Therefore,

60 ounces of iodine worth 20 cents per ounce must be mixed with 40 ounces of iodine worth 15 cents per ounce to create a mixture worth 18 cents per ounce.

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The notation used for a vector pointing into the point is X.

A quantity with a magnitude and direction is called a vector. A vector quantity will be identified in these annotations by a bold letter (such as the electric field vector E). Vectors appear graphically as straight arrows. The magnitude of the vector is commonly represented by the length of the arrow, and both the arrow and the vector point in the same general direction.

Arrows are drawn on the page to represent vectors in the page's plane. Typically, circles with an X engraved on them are used to represent vectors that enter the screen's plane. A vector that deviates from the screen's plane is often represented by circles with dots in the center.

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Answer:

  (b)  (x^2 + 8x + 16) + (y^2 − 6y + 9) = 11 + 16 + 9

Step-by-step explanation:

To complete the square of a binomial, the constant term of the perfect square trinomial is the square of half the coefficient of the linear term. It will always be positive.

__

a) 9 is subtracted, incorrectly

b) 16 and 9 are correctly added . . . this is the correct Step 3

c) half the linear term is added, incorrectly

d) the magnitude of half the linear term is added, incorrectly

To determine the value of "a" for which the system of equations can be solved by Cramer's Method, we need to check if the determinant of the coefficient matrix is non-zero. The coefficient matrix of the system is:

[1 (a-1) 0 1]

[(a-2) a -1 0]

[1 (a-1) a 1]

[a (a-1) (a+4) 1]

To apply Cramer's Method, we need to calculate the determinant of this matrix, denoted as D. If D ≠ 0, then the system has a unique solution. The determinant of the coefficient matrix can be computed using various methods such as expanding along a row or column or using a calculator or software.

If D ≠ 0 for a specific value of "a", then the system can be solved using Cramer's Method. If D = 0, then Cramer's Method cannot be used to find a unique solution for the system. Unfortunately, the specific value of "a" is not provided in the question, so we cannot determine if the system can be solved by Cramer's Method without further information.

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A sixth wind turbine will be placed near the intersections of the bisector. To find the location of the sixth wind turbine near the intersections of the bisector.

Start by identifying the bisector of the given intersections. The bisector is a line that divides the angle formed by the two intersections into two equal angles.Locate the midpoint of the bisector. This point will be equidistant from the two intersections.

From the midpoint, measure the desired distance to place the sixth wind turbine. This distance should be consistent with the placement of the other wind turbines. Mark the location of the sixth wind turbine at the measured distance from the midpoint along the bisector. This will ensure that it is equidistant from the two intersections.

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The question pertains to the placement of a wind turbine near the intersection of the bisectors, setting a scenario of using principles of geometry and the application of translation and rotation in real life for maximum utilization of wind energy.

The placement of a wind turbine near the intersection of the bisectors involves understanding the principles of geometry. In order to understand this, one needs to understand bisectors, which are a line, ray, or segment that divides an angle or segment into two equal parts.

In the case of wind turbines, these might be placed near the intersections of the bisectors based on the consideration of maximum distribution of wind energy. The bisectors could be representing the ideal locations to capture the wind from all directions equally. This concept combines both principles of translation and rotation. The turbines rotate to generate power (rotational motion), and they may be laid out in a grid (translational symmetry) to efficiently capture wind energy.

It's a great example of how rotational motion and principles of geometry may be applied in real life, especially in the field of renewable energy resources. Therefore, this is a blend of geometry and physical science, with a practical application in engineering and environmental science.

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=============================================================

Explanation:

The experimental probability is the probability based on the experiment or trials that Lynn and Dawn conducted. We divide the number of heads that came up (18) over the number of coin tosses total (30).

So we get the fraction 18/30. This reduces to 3/5 after dividing both parts by 6.

Or you can note how 18/30 = 0.6 and 3/5 = 0.6, so this must mean that 18/30 = 3/5.

The probability that the first successful alignment requires at most four trials is 0.0064 and can be obtained using geometric probability.

Given:

p=0.8

Using the formula of geometric probability:

\(P(X=k)=q^{k-1}p=(1-p)^{k-1}p\)

a. Evaluate the definition at k=4:

\(P(X=4) = (1-0.8)^{4-1} \times 0.8\\ P(X=4) = 0.2^3 \times 0.8\\ P(X=4) =0.0064\)

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