The value of m is $25 and value of b is $100, the cost is $300 and the number of students is 12.
As per the given relation in the question, we see that b is calculated once and m is calculated based on the variable value x, which is the number of students. Hence, for correct calculation, value of m is $25 and value of b is $100.
The cost if 8 students are passengers will be calculated by keeping the value of x and other constants as per the above answer.
Cost = 25×8 + 100
Cost = 200 + 100
Cost = $300
Number of students will again be found as the value of x, by keeping the values as specified above.
400 = 25x + 100
25x = 400 - 100
25x = 300
x = 300 ÷ 25
x = 12
Hence, value of m is $25 and value of b is $100, the cost is $300 and the number of students is 12.
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The complete question is attached in figure.
What type of triangle is shown in the image?
A triangle with two sides that are each eight units, and one side that is five units. Two angles are seventy degrees, and one angle is forty degrees.
Acute scalene triangle
Obtuse scalene triangle
Acute isosceles triangle
Right isosceles triangle
Answer:
Acute isosceles triangleStep-by-step explanation:
What type of triangle is shown in the image?
A triangle with two sides that are each eight units, and one side that is five units. Two angles are seventy degrees, and one angle is forty degrees.
Acute scalene triangle
Obtuse scalene triangle
Acute isosceles triangleRight isosceles triangle
Answer:
Step-by-step explanation:
Write the following in algebraic language. x is 0.28 of y.
The mathematical statement in algebraic language is x = 0.28y
How to write the mathematical statement in algebraic language?The mathematical statement is given as
x is 0.28 of y
In mathematics, "of" means multiplication
So, we have
x is 0.28 of y => x is 0.28 * y
Evaluate the product
x is 0.28 of y => x is 0.28y
In mathematics, "is" means equation
So, we have
x is 0.28 of y => x = 0.28y
Hence, the mathematical statement in algebraic language is x = 0.28y
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The natural numbers are a subset of all of the following sets except the integers numbers whole numbers real numbers irrational numbers
Answer: irrational numbers
Step-by-step explanation:
By definition, natural numbers are rational numbers.
A circle has a diameter of 24 in what is the circumference pi is 3.14
Answer:
The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.
In this case, the diameter of the circle is given as 24 inches.
Using the formula, we can substitute the values:
C = πd
C = 3.14 * 24
C ≈ 75.36 inches
Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram. Determine the measure of Angle A
A) 96°
B) 52°
C) 39°
D) 78°
Answer:
A = 78
Step-by-step explanation:
* since its a Quadrilateral all of angles equal the same
x + 52 = 3x
52 = 2x
26 = x
26 * 3 = 78
the organizers of a conference want to survey attendees about the registration fee. which of the following best describes a random sample of attendees?
Option C. A random sample of attendees would be a group of attendees selected in a systematic and unbiased manner, such that each attendee has an equal chance of being selected to participate in the survey.
This ensures that the opinions represented in the survey are representative of the opinions of the entire attendee population. For example, the organizers could randomly select every 10th attendee, or they could use a random number generator to select a certain number of attendees. The important thing is that the selection process is not influenced by any extraneous factors and is done in a way that ensures each attendee has an equal chance of being selected.
Finally, it is also important to ensure that the survey questions are clear, unbiased, and relevant to the topic being studied. This will help ensure that the responses obtained are meaningful and accurately reflect the opinions of the attendees.
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The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a random sample of attendees?
A. The organizers form groups of 20 attendees based on the day the attendees registered. Then, the organizers randomly choose 4 groups and select all of the attendees in these groups.
B. The organizers select the first 80 attendees who register for the conference because these attendees are easily accessible.
C. The organizers assign each attendee a different number. Using a random number table, the organizers draw 80 of those numbers at random. Then, organizers select the attendees assigned to the drawn numbers. Every set of 80 attendees is equally likely to be drawn using the random number table.
Which expression is equivalent to 10° ?
o 10 - 10 - 10 - 10 - 10 - 10
O 6.6.6.6.6.6.6.6.6.6
0 10. 10. 10. 10.10
o I don't know.
Hi
Answer:
The first one: 10*10*10*10*10*10
Step-by-step explanation:
This is because the power of a number is how many times you multiply it by itself (example: \(2^{4}\) = 2*2*2*2 because the power is 4 which means you multiply the base by itself 4 times, in this case the base is 2)
Answer:
A. 10 · 10 · 10 · 10 · 10 · 10
Step-by-step explanation:
\(10^6\) is just 10 times itself, 6 times.
Calculus. Draw the graph of a cubic polynomial. Question1
Sketch the graph of x^3-4x^2-11x+30
Step-by-step explanation:
Find the factors of x that makes it zero.. Equate the equation to y and use it to find the value of y. Then get your values for x and y and plot the graph
Enter the value of 7 + (-3) - 3 - 7
Answer:
-6
Step-by-step explanation:
Simplify: 7 - 3 - 3 - 77 - 3 - 3 - 7 = -6I hope this helps!
Answer:
-3
Step-by-step explanation:
Graph the line that passes through the points (4,−9) and (−3,−2) and determine the equation of the line.
Answer:
the equation is y= -x-5
Answer:
1
Step-by-step explanation:
-2-(-9)/-3-4
-2+9/-7
7/-7=1
this is due in 15 minutes so I need it asap
Answer:
B and C
Step-by-step explanation:
\(56 - ( {3}^{3} + 13) = 16\)
For A
\( \frac{92 - (12 + 16)}{4} = 16 \\ \)
For B
\( {6}^{2} \div 4 + 5 = 14\)
For C
\((6 \times 7) + 3 + 2 = 47\)
For D
\(19 \times 4 - {8}^{2} + 4 = 16\)
Here, B and C have not same value
which one of the following is a solution to |2x-1|>3 A.2, B.-1, C.-2, D.1, E.None of these
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scaled triangle will be larger than the initial size by a factor 2.
The scaled square will be smaller than the initial side by a factor 4.
What is dilation?Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.
Dilation involves scaling an object by a certain factor, that might result in enlarging or reducing its dimensions uniformly in all directions.
Based on the given diagram, the new length and size of the object is calculated as follows;
For the triangle, (measure the length with ruler)
new lengths = 2 times the original lengthoriginal length = 2 cm, new length = 4 cmthe new size of the triangle will increase by a factor 2For the square; (measure the length with ruler)
new lengths = 0.25 times the original lengthoriginal length = 4 cm, new length = 2 cmthe new size of the square will decrease by a factor 4Learn more about dilation here: brainly.com/question/20482938
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How are the two angles related?
The two angles are related in that they are supplementary angles
Supplementary angles would add tuo to 180 degrees according to the angle Theorem.
Adding the two given angles :
52+128 = 180These angles are supplementary
The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.
Hence, the angles are related as they are supplementary angles .
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You attend a baseball game with friends and visit the snack stand between innings. Soda costs $2 a can, and a box of popcorn costs $1.50. You have $15 with you, and you wish to buy more cans of soda than boxes of popcorn. If x represents the number of cans of soda and y the number of boxes of popcorn, which graph represents the inequalities in this scenario? A. graph A B. graph B C. You attend a baseball game with friends and visit the snack stand between innings. Soda costs $2 a can, and a box of popcorn costs $1.50. You have $15 with you, and you wish to buy more cans of soda than boxes of popcorn. If x represents the number of cans of soda and y the number of boxes of popcorn, which graph represents the inequalities in this scenario? A. graph A B. graph B C. graph C D. graph D C D. graph D
Answer:
I feel that is would be D
Step-by-step explanation:
This is the most reasonable awnser.
including tax, allie pays $8652.60 for a used car, if the price before tax was $8280, what is the tax rate where allie lives
Answer:
4.49% (rounded to 2 decimal places)
Step-by-step explanation:
Let the tax rate be r%
The tax paid on car = (Final Sale Price) - (Before Tax Price)
= 8652.60 - 8280 = $372
Tax rate as a decimal = Tax/(Before Tax Price)
= 372/8652.60 ≈ 0.0449275 (rounded to 7 decimal places)
To find tax rate as percentage multiply the above by 100 to get tax rate as
0.0449 x 100 ≈ 4.49275% ≈ 4.49% (rounded to 2 decimal places)
What are the solutions to this quadratic equation?
x2+13=8x+37
Answer:
x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 13 = 8 x + 37
Subtract 8 x + 37 from both sides:
x^2 - 8 x - 24 = 0
Add 24 to both sides:
x^2 - 8 x = 24
Add 16 to both sides:
x^2 - 8 x + 16 = 40
Write the left hand side as a square:
(x - 4)^2 = 40
Take the square root of both sides:
x - 4 = 2 sqrt(10) or x - 4 = -2 sqrt(10)
Add 4 to both sides:
x = 4 + 2 sqrt(10) or x - 4 = -2 sqrt(10)
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm
The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).
Given dimensions:
Length (L) = 9 cm
Width (W) = 7 cm
Height (H) = 4 cm
a) Area of the top face of the cuboid:
The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
b) Area of the bottom face of the cuboid:
The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
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Help!!!! Please
Asap
Answer:
events at A and B are independent because P(A)(B)≠P(A)
Rihanna wants to find the distance, AB, across a river. She starts at point B and walks along the edge of the river (76 ft) and marks point C. Then she walks 24 ft further and marks point D. She turns 91° and walks until her final location and marks point E. Point E, point A, and point C are collinear. Suppose (DE) is 222 ft. Calculate the distance of (AB)
The distance from point A to point B is approximately 81.92 ft.
What are collinear points?
Collinear points are points that lie on the same straight line. In other words, if three or more points are collinear, they can all be connected by a single straight line.
We can solve this problem using the concept of collinearity. Since point E, point A, and point C are collinear, we know that the distance from point B to point C is equal to the distance from point A to point E. Let's call this distance x.
From the information given in the problem, we can construct the following diagram:
D --- E
/
/ 222 ft
/
B ------ C
76 ft
<--
We can see that the distance from point B to point D is \($76 + 24 = 100$\) ft. We can also see that triangle BCD is a right triangle, with side BC equal to 76 ft and side BD equal to 100 ft. We can use the Pythagorean theorem to find the length of the third side, CD:
\($$CD = \sqrt{BD^2 - BC^2} = \sqrt{100^2 - 76^2} \approx 64.08 \text{ ft}$$\)
Now, we know that the sum of the distances from point B to point C and from point C to point E is equal to the distance from point B to point E:
\($$76 + CD + x = 222$$\)
Substituting \($CD \approx 64.08$\), we get:
\($$76 + 64.08 + x = 222$$\)
Simplifying, we get:
\($$x = 222 - 140.08 = 81.92 \text{ ft}$$\)
Therefore, the distance from point A to point B is also equal to x.
Hence, the distance from point A to point B is approximately 81.92 ft.
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This one please help out
Answer:
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
Step-by-step explanation:
Okay so looking at the unit cubes you must count how much there are and see how much unit cubes the weight is equivalent to
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
your work is correct!! Good job!!
Hope this helps!!
-Ketifa
What is the value of
2(b + c)
————
A
if a = 3, b = 5, and c = 1?
A. 9
B. 6
C. 14
D.4
Answer:
The answer would be A
Step-by-step explanation:
B=5
C=1
5+1=6
2x6+c=9
9=A
Answer:
D) 4
Step-by-step explanation:
To solve this, substitute each variable with what it's equal to.
the equation would now be:
\(\frac{2(5+1)}{3}\) continue to simplify until you solve it
\(\frac{2(6)}{3}\) = \(\frac{12}{3}\) = 4
5x-16+x+10 =180 solve for x
Answer:
\(x = 31\)
Step-by-step explanation:
\(5x - 16 + x + 10 = 180\)
\(5x + x = 180 + 16 - 10\)
\(6x = 186\)
\( \frac{6x}{6} = \frac{186}{6} \)
\(x = 31\)
Joe dreams of being a striker for Bafana Bajora some day. Every day, after school, he takes 100 practice goal kicks from various angles and distances. On the first day he only managed to kick 12 goals. On the second next day be kicked 14 goals, on the third day 16 and on the fourth day 18. If the pattern continues, how long will be huve to practice before he will kick 100 goals?
The number of days it will take for him to kick 100 goals is given as follows:
45 days.
How to define a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which:
The slope m represents the increase of y per each unit of x.The intercept b represents the value of y when x = 0.The parameters for this problem are given as follows:
m = 2, as each day, the number of goals increased by two.b = 10, as on the first day, he managed to kick 12 goals, hence on the day zero, the amount was of 12 - 2 = 10.Hence the function giving the number of goals on day x is given as follows:
y = 2x + 10.
The number of days for him to score 100 goals is then obtained as follows:
100 = 2x + 10
2x = 90
x = 90/2
x = 45 days.
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kerry is going to use these instructions to make a fizzy drink
mix 7 parts apple juice with 3 parts lemonade
kerry thinks that she has 280ml of applejuice and 180 ml lemonade.
if kerry is correct what is the greatest amount of fizzy drink she can make?
second part:
kerry has 280 ml of applejuice but only has 160 ml of lemonade.
Does this affect the greatest amount of fizzy drink she can make?
Give a reason for your answer.
a) She can make 400 milliliters of the fizzy drink.
b) The change does not affect the greatest amount of drink.
If kerry is correct what is the greatest amount of fizzy drink she can make?We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.
If we divide the total amount of apple juice in 7 parts, then each part has:
280ml/7 = 40ml
Then we need 3 parts of 40ml of the lemonade, this is:
3*40ml = 120ml
Then the total amounf of drink fizz that she can make is:
280ml + 120ml = 400ml.
b) Now she has 160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.
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What is the constant of proportionality represented on this
graph?
Answer:
A
-------------------------w
Its hitting the 1 on on the y and 2 on the x
Savannah's balance in her checking account was –$638.57. She deposited two checks, each in the amount of $298.40. What is Savannah’s new checking account balance after the deposits?
Answer:
$-41.77
Step-by-step explanation:
$298.40 multiplied by 2 is $596.8, since Savannah added 2 deposits.
Now we add that to the current balance, -$638.57, to get an answer of $-41.77
Answer:
-41.77
Step-by-step explanation:
Multiply $298.40 by 2 OR add $298.40 + $298.40
either gives you $596.80
Savannah deposited $596.80
You add that to -$638.57
Hey, I need help!
What is 56/2?
Answer:
28
Step-by-step explanation:
Answer:
56 divided by 2 would be 28.
Step-by-step explanation:
\(\frac{56}{2}\) is the same thing as half of 56, since two 28s added together is 56, which means \(\frac{56}{2}\) is equivalent to 28.
The ordered pair below represents a point on the line 3y + 4x = 5. Enter the missing y-coordinate for this point.
(-1/4, )