Jay got 35 out of 40 points on his quiz. What is his percent correct, rounded to the nearest whole number?

Answer

y>18−4x

Step-by-step explanation:

Subtract 4 x from both sides of the inequality. y > 18 − 4 x Find the slope and the y-intercept for the boundary line.

Slope: − 4 y-intercept: ( 0 , 18 ) Graph a dashed line, then shade the area above the boundary line since y is greater than 18 − 4 x . y > 18 − 4 x

Answer:

B

Step-by-step explanation:

Let the two numbers be a and b.

The product of the two is 120 and their sum of their squares is 289. In other words:

\(\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289\)

And we want to find the sum of the two numbers.

We can use the perfect square trinomial. Recall that:

\(a^2 + 2ab + b^2 = (a+b)^2\)

From the first equation, multiply by two:

\(2ab = 240\)

Add the two equations together:

\((a^2+b^2)+(2ab) = (289)+(240)\)

Simplify and rewrite:

\(a^2+2ab+b^2 = 529\)

Factor using the perfect square trinomial pattern:

\((a+b)^2 = 529\)

And take the square root of both sides:

\(\displaystyle a + b = \pm\sqrt{529} = \pm23\)

Hence, the sum of the two numbers is 23 or -23.

In conclusion, our answer is B.

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4.

Therefore, 12 and 24 have the most things in common. Figure 2: LCM = 24 and GCF = 12 for two numbers.

Find the other number if one is 12, then. What does 12 and 24's GCF stand for?

Example of an image for 12 + 24 = ( + ) Locate the GCF. You should distribute your GCF as the first number.

12 is the GCF of 12 and 24. We must factor each number individually in order to determine the highest common factor of 12 and 24 (factors of 12 = 1, 2, 3, 4, 6, 12; factors of 24 = 1, 2, 3,.

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So slopes of  the line and given parallel line are equal so equation of line is y-1=-2(x-0)

y+2x=1

What is  slopes ?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that line passing through point(0,1)

Line is parallel to the line y=-2x+3

So slopes of the line and given parallel line are equal .

So, equation of line is y-1=m(x-0)

M is slope

m=-2

y-1=-2(x-0)

y+2x=1

So slopes of  the line and given parallel line are equal so equation of line is y-1=-2(x-0)

y+2x=1

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The amount of the sale of the home is $2090181.82

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

Commission = 5.5% on the sale of a home

Also, we have

Commission  = 114960

using the above as a guide, we have the following:

5.5% on the sale of a home = 114960

So, we have

5.5% * sale of a home = 114960

Divide both sides by 5.5%

sale of a home = 114960/(5.5%)

Evaluate

sale of a home = 2090181.82

Hence, the sale of the home is $2090181.82

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Answer:

9 minutes

Step-by-step explanation:

Answer:

\(b=3/11\)

Step-by-step explanation:

\(-3b+11=8b+8 \\ \\ 11b+8=11 \\ \\ 11b=3 \\ \\ b=3/11\)

Answer:

D=1/2

Step-by-step explanation:

Multiply the numbers

Subtract the numbers

Combine like terms

put 1/2 to the two parts of the equation

last but not least, simplify

Answer:

It has the same domain and range as the function f(x) = StartRoot x EndRoot. It has the same range but not the same domain as the function f(x) = StartRoot x EndRoot. It has the same domain and range as the function f(x) = negative StartRoot negative x EndRoot.

Step-by-step explanation:

i) 4 more gallons of petrol will be needed to complete the journey.

ii) The cost of the petrol for the 420 km journey is GH¢55.00.

i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.

Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):

Distance covered with 10 gallons = 10 * 30 = 300 km

To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:

Remaining distance = Total distance - Distance covered with available petrol

Remaining distance = 420 km - 300 km = 120 km

Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:

Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons

Therefore, the driver will need 4 more gallons of petrol to complete the journey.

ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.

Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:

Cost of petrol = Total gallons used * Cost per gallon

Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00

Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.

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By comparing the result obtained in Part B (6N) with the result obtained in Part A, we can see that the conjecture holds true. The result of the process is indeed related to the original number (N) by multiplying it by 6.

Part A:

Based on the given process, the conjecture that relates the result of the process to the original number (represented as N) is as follows:

Start with the original number N.

Multiply N by 4.

Add 12 to the product.

Divide the sum by 2.

Subtract 6 from the quotient.

The result of this process is the final number obtained.

Part B:

To prove the conjecture using deductive reasoning, we will follow the steps given in Part A:

Start with the original number N.

Multiply N by 12.

Add 4 to the product.

Divide the sum by 2.

Subtract 2 from the quotient.

We will simplify the steps using algebraic notation:

Step 1: N

Step 2: 12N

Step 3: 12N + 4

Step 4: (12N + 4) / 2

Step 5: [(12N + 4) / 2] - 2

Now, let's simplify Step 5:

Step 5: (12N + 4) / 2 - 2

      = (12N + 4 - 2*2) / 2

      = (12N + 4 - 4) / 2

      = 12N / 2

      = 6N

Therefore, the result of this process is 6N.

We may verify that the supposition is correct by comparing the result from Part B (6N) with the result from Part A. By multiplying the outcome by 6, the process does in fact relate to the original number (N).

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The complete question is:

Multiply the number by 4. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient. 1st number is 3 and the results 2nd number is 6 and the results 3rd number is 8 and the results 4th number is 12 and the results part A. Write a conjecture that relates the result of the process to the original number selected. Represent the original number as N. What is the result part b Represent the original number as N, use deductive reasoning to prove the conjecture in part (a) multiply the number by 12 and the results add 4 to the product and the results divide the sum by 2 subtract 2 from the quotient

The most common number of hours volunteered is 22.

Option B is the correct answer.

We have,

A.
The number of students who volunteered more than 30 hours is greater than the number of students who volunteered fewer than 30 hours.

This can not be determined from the given stem-and-leaf plot as it only shows the frequency distribution of hours volunteered without any specific count of students.

The plot only indicates that there are some students who volunteered between 31-36 hours (stem 3, leaves 33, and 36) and one student who volunteered for 44 hours (stem 4, leaf 4).

Therefore, option A is not supported by the given data.

B.

The most common number of hours volunteered is 22.

From the stem-and-leaf plot, we can see that the mode is 22 as it has the highest frequency (stem 2, leaves 2, 5, 7, 8).

Hence, option B is supported by the given data.

C.

The number of students who volunteered between 9 and 20 hours is greater than the number of students who volunteered more than 40 hours.

This statement cannot be confirmed by the given stem-and-leaf plot as there are no leaves in stem 1, which means there are no students who volunteered less than 10 hours. Also, there are no leaves in stem 4, except for one leaf with a value of 44.

Therefore, we can not determine how many students volunteered between 9-20 hours and more than 40 hours. Hence, option C is not supported by the given data.

D.

The most common number of hours volunteered is 41.

There are no leaves in stem 4 except for the value of 44, which means there is no student who volunteered for 41 hours.

Hence, option D is not supported by the given data.

Therefore,

The most common number of hours volunteered is 22.

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You have the following system of equations:

5x + y = 7 (1)

20x + 2y = 7 (2)

In order to solve the previous system, you proceed as follow:

multiply by 2 the first equation:

(5x + y = 7)(2)

10x + 2y = 14

next, you subtract the second equation of the system to the previoues equation:

10x + 2y = 14

-20x - 2y = - 7

-10x + 0 = 7

next, solve for x in the previous equation:

-10x = 7

x = -7/10

next, replace the previous obtained value of x into the first equation, and solve for y:

5x + y = 7

5(-7/10) + y = 7

-35/10 + y = 7

y = 7 + 35/10

y = (70 + 35)/10

y = 105/10 = 21/2

Hence, the solution to the given equation is:

x = -7/10

y = 21/2

The histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have data:

7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4

We know on the left side skewed histogram has more data on the right and on the left side, there are less data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is less data on the right side and more data on the left side. It is also called a positive histogram.

Thus, the histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.

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Answer:

I think the best description of a regular polygon is a polygon with all equal angles

Step-by-step explanation:

hope this helps if not let me know

Answer:

b

Step-by-step explanation:

Answer:

18m-20

Step-by-step explanation:

4(3m-2)+3(2m-4)=

12m-8+6m-12=

collect like terms

12m+6m-8-12=

18m-20

The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:

The cost of one share of the stock on Friday is $41.45

Step-by-step explanation:

The initial cost of one share of the stock on Monday is $41.45.

On Tuesday, the cost goes up by $0.58, so the cost becomes:

$41.45 + $0.58 = $42.03

On Wednesday, the cost goes down by $0.26, so the cost becomes:

$42.03 - $0.26 = $41.77

On Thursday, the cost also goes down by $0.26, so the cost becomes:

$41.77 - $0.26 = $41.51

Finally, on Friday, the cost goes down by $0.06.

So the expression to represent the cost of one share of the stock on Friday is:

$41.51 - $0.06

To evaluate this expression, we simply subtract $0.06 from $41.51:

$41.51 - $0.06 = $41.45

Therefore, the cost of one share of the stock on Friday is $41.45

Answer:

a) -2 < 3

b) |-12| < |15| (the absolute value of -12 is 12 so that's comparing 12 to 15)

c) 3 > -4

d) |15| > |-12|

e) 7 > -11

Based on the angle-angle similarity theorem (AA), the similar triangles in the image given can be named as: ΔBAC ~ ΔEDF.

When two triangles have the same shape but have different sizes, it means the triangles have corresponding pairs of congruent angles and corresponding pairs of sides that are proportional to each other. The triangles are said to be similar.

The image given show two set of triangles that have two corresponding pairs of congruent angles, based on the angle-angle similarity theorem, it means that they are similar to each other.

Therefore, the similar triangles are:

ΔBAC ~ ΔEDF.

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Answer:Can u explain more ?

Step-by-step explanation:

Answer:

8=12-4

x/2

46k

12= n+6

5*9=45

Step-by-step explanation:

I am not too sure(didn't pay attention)

Answer:

96 degrees

Step-by-step explanation:

Since you know that arc are twice the angle measure, that means arc RT is 42 * 2 = 84. Then, you have to find the measure of RS.

Remember that arc RT and RS have to add up to 180 degrees because they form a semicircle (half of a circle).

To find the measure of RS, just do 180 - 84 = 96 degrees.

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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Answer:

Step-by-step explanation:

3x  +  5  +  x  -  25  =  180

4x  -  20  =  180

4x  =  200

x  =  50

Explanation:

BLue car:

45 1/2 miles consumes 1 1/4 gallons of gasoline

The unit rate = number of miles/number of gallons used

Unit rate in miles per gallon = (45 1/2)/(1 1/4)

Red car:

23 1/5 miles consumes 4/5 gallon of gasoline

Unit rate = (23 1/5)/(4/5)