9514 1404 393
Answer:
A, D, E
Step-by-step explanation:
Given:
A triangular prism 7 m high with a base triangle that has a base of 8 m and a height of 14 m.
Find:
3 steps among those listed that should be taken to compute the volume.
Solution:
The listed steps are ...
(a) Use the formula A = one-half b h to find the area of the base.
(b) Use the formula A = b h to find the area of the base.
(c) The area of the base, A, is One-half (7) (8) = 28 meters squared.
(d) The area of the base, A, is One-half (8) (14) = 56 meters squared.
(e) The volume of the prism, V is (56) (7) = 392 meters cubed
__
The formula for the volume is ...
V = Bh . . . . where B is the area of the base, and h is the prism height
The formula for the area of a triangle is ...
A = 1/2bh . . . . where b is the base of the triangle and h is its height
We need the area of the triangular base before we can use the volume formula, so the first step is (a). The next step is to fill in values in that formula, so the second step is (d). Finally, we fill in values in the volume formula, so the third step is (e).
Of the steps listed, we should use steps (a), (d), (e).
The domain consists of all the __-values. x y
Answer:
The answer is:
The domain consists of all the x-values
Step-by-step explanation:
The domain is the set of possible input values
The domain is the set of all possible values of the independent variable
In any ordered pair (x , y), x is the input (independent)
The domain is all values of x which make the function defined
The range is the set of possible output values
The range is the complete set of all possible resulting values of the dependent variable
In any ordered pair (x , y), y is the out put (dependent)
The range is all values of y which corresponding to x
The answer is:
The domain consists of all the x-values
I need help solving this problem. At an only mapping site, Mr. Mosley notices that when he clicks a spot on the map, the map zooms in on that spot. The magnification increases by 20% each time. Write a formula for the nth term of the geometric sequence that represents the magnification of each zoom level. (Hint: The common ratio is not just 0.2.)
Answer:
1.2^n
Step-by-step explanation:
since a single dot brings about an increment by 20%, the total magnification becomes 120% after the click. The common ratio = 120 / 100 = 1.2
the formula becomes 1.2^n
The formula for the nth term of the geometric sequence that represents the magnification of each zoom level is an = (1.2)n-1.
Explanation:In this problem, you are looking at a geometric sequence that represents the magnification of each zoom level on a map. A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
In this case, the common ratio is 1 + 0.2 = 1.2 because the magnification increases by 20% (or 0.2 in decimal form) each time. We can denote the nth termed 'an'. The general formula for the nth term in a geometric sequence is: an = a1 * rn-1.
Since the initial magnification doesn't specify a specific value, we will take a1 as 1 for this case. Substituting these values into the formula yields: an = 1 * (1.2)n-1, or just an = (1.2)n-1.
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I NEED HELP ASAP IM BEING TIMED 5 MIN LEFT PLZZZZZZ HELP
Answer:
Step-by-step explanation:
on the number line your starting point is 6 then go back 9 and you will get -3
If I make $200 a sec how long will it take to reach $20,000?
Answer:
100 seconds or 1 minute 40 seconds
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
20,000 divided by 200
=100
The sum of three consecutive even numbers is one hundred sixty - two.
What is the smallest of the three numbers ?
Answer:
52
Step-by-step explanation:
Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...
x + (x+2) +(x+4) = 162
3x = 156 . . . . . . . . . . . .subtract 6
x = 156/3 = 52
The smallest of the three numbers is 52.
___
I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.
The following statements describe a set of railroad tracks. Based only on the
statement, make a conclusion about the rails or the railroad ties. Explain.
a. The railroad ties are each perpendicular to one rail.
b. The rails are parallel. One railroad tie is perpendicular to one rail.
Answer:
Part a) The railroad ties are parallel
Part b) One railroad tie is perpendicular to both rails
Step-by-step explanation:
Part a) The railroad ties are each perpendicular to one rail
we know that
if one line is perpendicular to several other lines, then the other lines are parallel
Conclusion:
If the railroad ties are each perpendicular to one rail then the railroad ties are parallel
That means----> The slopes of the railroad ties are equal and they are opposite reciprocal to the slope of the rail
Part b) The rails are parallel. One railroad tie is perpendicular to one rail
we know that
if two lines are parallel and another line is perpendicular to one of them, then this line is perpendicular to both lines
Conclusion:
If One railroad tie is perpendicular to one rail, then one railroad tie is perpendicular to both rails
That means ---> The slopes of the railroad ties are opposite reciprocal to the slope of the rail
Final answer:
The railroad ties are perpendicular to both rails, and the rails are parallel to each other, reflecting principles of linear perspective in geometry.
Explanation:
The student's questions relate to geometry, specifically the properties of lines and angles about railroad tracks and railroad ties. When analyzing these geometric structures, we draw on concepts such as parallel lines, and perpendicular lines, and the characteristics of their interaction.
Analysis of Statements
Statement a: If railroad ties are each perpendicular to one rail, and knowing that both rails in a railroad must be parallel, we can conclude that the ties are also perpendicular to the other rail. This is because perpendicular lines or segments are by definition at 90° to each other, and if one tie is perpendicular to one parallel rail it must be perpendicular to the other rail that is parallel to the first.Statement b: If one railroad tie is perpendicular to one rail and the rails are parallel, then every other railroad tie that is also perpendicular to one rail will be perpendicular to both rails, maintaining consistency in the geometry of the railroad structure.Therefore, we can conclude that the railroad ties are perpendicular to both rails and that the rails are parallel to each other. This aligns with linear perspective and the visual effect of perpendicular lines (orthogonal) converging at a vanishing point as they recede into the distance.
Help this is my last grade of the year and I need to do good
Answer:
The volume is 58.64.
I hope this helps you out :)
Find the surface area and volume of the figure.
18 ft
11 ft
The problem involves finding the surface area and volume of a cylinder with a height of 18 ft and a diameter of 11 ft. Using the formulas for a cylinder's surface area and volume, appropriate calculations can be performed to determine the cylinder's surface area and volume.
Explanation:To find the surface area and volume of a given figure, we need to identify the shape of the object. The question does not specify the shape, but the provided formulas suggest that we might be dealing with a cylinder. For a cylinder:
The surface area (A) is calculated as the sum of the areas of the two circular bases (which are π×r² each, where r is the radius) plus the area of the side, which is the circumference of the base multiplied by the height (2π×r×h).The volume (V) is the area of the base (π×r²) multiplied by the height (h).If the cylinder has a height (h) of 18 ft and a diameter of 11 ft (radius is half of the diameter, so r = 5.5 ft), we can calculate its surface area and volume using the following formulas:
A = 2π×r×h + 2π×r²V = π×r²×hPlugging in the values:
A = 2π×5.5×18 + 2π×5.5²V = π×5.5²×18Now, you can substitute π with approximately 3.1416 to find the numeric answers. Remember to use the unit ft² for surface area and ft³ for volume.
True or False (& Justify): If a ball is thrown horizontally from the top edge of a 150m building at a speed of 25 m/sec, then the ball’s velocity and speed 3 seconds later will be <25, -39.2> and 46.493 m/sec.
Answer:
38.6 m/s
Step-by-step explanation:
The motion of the ball is a projectile motion, which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
Therefore we have to analyze the horizontal and vertical motion separately.
Along the horizontal direction, the velocity is constant during the motion, since there are no forces acting in this direction. So the horizontal velocity 3 seconds after the launch will be the same as the velocity at the launch:
[tex]v_x = v_0 = 25 m/s[/tex]
The vertical velocity instead changes according to the suvat equation:
[tex]v_y = u_y - gt[/tex]
where
[tex]u_y=0[/tex] is the initial vertical velocity
[tex]g=9.8 m/s^2[/tex] is the acceleration due to gravity
t is the time
Therefore, after t = 3 s,
[tex]v_y=0-(9.8)(3)=-29.4 m/s[/tex]
So the velocity after 3 seconds is < 25, -29.4 > m/s. The magnitude of the velocity is
[tex]v=\sqrt{v_x^2+v_y^2}=\sqrt{25^2+(-29.4)^2}=38.6 m/s[/tex]
The statement is true regarding the horizontal component but contains a typo in the vertical component. A ball thrown horizontally from a 150m building will maintain its horizontal velocity but the vertical velocity will be -29.4 m/s after 3 seconds. The total speed will be 38.6 m/s, not 46.493 m/s.
The statement is True. To analyze the velocity and speed of a ball thrown horizontally, we will consider two components of the motion separately: the horizontal component, which remains constant due to the absence of horizontal forces when air resistance is ignored, and the vertical component, which changes due to gravity.
Horizontally, the velocity remains at the initial value of 25 m/s because no horizontal forces are acting on the ball (assuming air resistance is negligible).
Vertically, the acceleration due to gravity (g) is 9.8 m/s2. The vertical velocity (Vy) at a time t after release can be calculated using the equation Vy = g × t, which after 3 seconds gives us Vy = 9.8 m/s² × 3 s = 29.4 m/s.
Since the question states a vertical velocity of -39.2 m/s, there might be a typo, as the correct vertical velocity should be -29.4 m/s (negative sign indicates downward direction).
Now, to find the overall speed, we use the Pythagorean theorem: speed = \/(Vx² + Vy²). Substituting Vx = 25 m/s and Vy = -29.4 m/s, we get the speed as 38.6 m/s (approximately).
Therefore, the provided velocity and speed are incorrect; the corrected velocity after 3 seconds is <25, -29.4> and the speed is approximately 38.6 m/s.
A water balloon shaped like a sphere is filled with water. The water balloon has a diameter of 3 inches. Which measurement is closest to the volume of water in the water balloon in cubic inches?
Answer:
14.137
Step-by-step explanation:
volume of a circle is 4/3pie(radius to the 3rd power)
Answer: 14 in cubed
Step-by-step explanation:
Find slope of 2x-4y + 7=0
Answer:
1/2
Step-by-step explanation:
The first thing you want to do is get y by itself. Subtract 7 from both sides:
2x-4y=-7
and then subtract 2x ( the goal is to make your equation look like this: y=mx+b):
-4y= -2x-7
Now, y is mostly isolated, all you have to do now is divide both sides by -4 in order for y to be completely by itself:
y=-2/-4x -7/-4
Simplify completely:
y=1/2x+7/4
Now you have your equation you can easily read it as y=mx+b.
** m is slope & b is the y-intercept**
So your slope would be: 1/2
I need help with questions #7 and #8 plz
Answer:
7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg
8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg
Step-by-step explanation:
Law of Cosines
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.
Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.
7.
We use the law of cosines to find C.
[tex] 18^2 = 12^2 + 16^2 - 2(12)(16) \cos C [/tex]
[tex] 324 = 144 + 256 - 384 \cos C [/tex]
[tex]-384 \cos C = -76[/tex]
[tex]\cos C = 0.2[/tex]
[tex] C = \cos^{-1} 0.2 [/tex]
[tex] C = 78.6^\circ [/tex]
Now we use the law of sines to find angle A.
Law of Sines
[tex] \dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C} [/tex]
We know c and C. We can solve for a.
[tex] \dfrac{a}{\sin A} = \dfrac{c}{\sin C} [/tex]
[tex] \dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ} [/tex]
Cross multiply.
[tex] 18 \sin A = 12 \sin 78.6^\circ [/tex]
[tex] \sin A = \dfrac{12 \sin 78.6^\circ}{18} [/tex]
[tex] \sin A = 0.6535 [/tex]
[tex] A = \sin^{-1} 0.6535 [/tex]
[tex] A = 40.8^\circ [/tex]
To find B, we use
m<A + m<B + m<C = 180
40.8 + m<B + 78.6 = 180
m<B = 60.6 deg
8.
I'll use the law of cosines 3 times here to solve for all the angles.
Law of Cosines
[tex] a^2 = b^2 + c^2 - 2bc \cos A [/tex]
[tex] b^2 = a^2 + c^2 - 2ac \cos B [/tex]
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
Find angle A:
[tex] a^2 = b^2 + c^2 - 2bc \cos A [/tex]
[tex] 8^2 = 18^2 + 12^2 - 2(18)(12) \cos A [/tex]
[tex] 64 = 468 - 432 \cos A [/tex]
[tex] \cos A = 0.9352 [/tex]
[tex] A = 20.7^\circ [/tex]
Find angle B:
[tex] b^2 = a^2 + c^2 - 2ac \cos B [/tex]
[tex] 18^2 = 8^2 + 12^2 - 2(8)(12) \cos B [/tex]
[tex] 324 = 208 - 192 \cos A [/tex]
[tex] \cos B = -0.6042 [/tex]
[tex] B = 127.2^\circ [/tex]
Find angle C:
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
[tex] 12^2 = 8^2 + 18^2 - 2(8)(18) \cos B [/tex]
[tex] 144 = 388 - 288 \cos A [/tex]
[tex] \cos C = 0.8472 [/tex]
[tex] C = 32.1^\circ [/tex]
PLEASEE HELP ME! WILL MARK BRAINLIEST!!
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a length of x plus 20 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a length of 6 and width of 2 Write an equation to determine the area, A, of the patio that will be painted.
A. A = (x + 20)(x + 10) + 12
B. A = (x + 20)(x + 10) − 12
C. A = (x + 26)(x + 12)
D. A = (x + 14)(x + 8)
Answer:
B. A = (x + 20)(x + 10) - 12
Step-by-step explanation:
please kindly check the attached file for explanation
Given the following formula solve for r
Answer:
D
Step-by-step explanation:
C = 2pir
Divide both sides by 2pi
C/(2pi) = 2pi/2pi r -->
C/(2pi) = r
That's D
The required solution of given formula is r = C/(2π). which is the correct answer would be option (D)
What is the Circumference of a circle?
The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that formula as:
⇒ C = 2πr
We have to formula solve for r
⇒ C = 2πr
Divide both sides by 22π
⇒ C/(2π) = r2π/2π
⇒ C/(2π) = r or
⇒ r = C/(2π)
Hence, the correct answer would be option (D)
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Find all solutions to (X+5)(2x-3)=0
Answer:
X+5
X = -5
-5 plus 5 equals 0
2x-3
X= 3/2
-3/2 plus 3/2 equals 0
The solutions to the equation (x+5) (2x-3) = 0 are x = -5 and x = 3/2.
Given that an equation (x+5) (2x-3) = 0, we need to find the solution of the equation,
To find the solutions to the equation (x+5) (2x-3) = 0, we set each factor equal to zero and solve for x,
Seetting x + 5 equal to 0:
x + 5 = 0
x = -5
Seetting 2x-3 equal to 0:
2x - 3 = 0
2x = 3
x = 3/2
Therefore, the solutions to the equation (x+5) (2x-3) = 0 are x = -5 and x = 3/2.
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Ben invites red part of his $15,000 savings in stocks paying 4.25% simple interest annually. He invested the rest in bonds paying 3.75% simple interest annually. If Ben earned $594.50 in interest after one year, how much did he invest in stocks? How much did he invest in bonds?
Answer: he invested $8600 in bonds.
Step-by-step explanation:
Let x represent the part of his money that he invested in stocks.
Let y represent the part of his money that he invested in bonds.
Ben invested part of his $15,000 savings in stocks paying 4.25% simple interest annually. He invested the rest in bonds paying 3.75% simple interest annually. It means that
x + y = 15000
The interest that he would earn on the amount invested in stocks after 1 year is
4.25/100 × x = 0.0425x
The interest that he would earn on the amount invested in bonds after 1 year is
3.75/100 × y = 0.0375y
If Ben earned $594.50 in interest after one year, it means that
0.0425x + 0.0375y = 594.5- - - - - - 1
Substituting x = 15000 - y into equation 1, it becomes
0.0425(15000 - y) + 0.0375y = 594.5
637.5 - 0.0425y + 0.0375y = 594.5
- 0.0425y + 0.0375y = 594.5 - 637.5
- 0.005y = - 43
y = - 43/- 0.005
y = $8600
x = 15000 - 8600
x = $6400
The Mariana Trench in The Pacific Ocean is about 36,201 feet deep. Based on these data how many feet deeper is the marina trench than the Puerto Rico?
Answer:
The answer is 27,493 Puerto Rico Trench Depth Deepest Point In the Atlantic Ocean
Step-by-step explanation:
Put the quadratic into vertex form and state the coordinates of the vertex
Answer: f(x) = (x+6)^2 -25
vertex is (-6, -25)
Step-by-step explanation: complete the square, than use the binomial formula, then simplify and expand
Answer:
equation is y = (x+1)(x+11)
vertex: (-1,-11)
Step-by-step explanation:
y = x^2 + 12x + 11. The last value, the value 11 is how we can determine our values in the equation. First we need to find the factors of positive 11 which are: -11 * -1 and 1*11. now we will look at the second portion the 12x. As we can see the value is positive. Now we will add the two factors together and see which one gives us positive 12. The factors 1 and 11 make positive 12. Now we simply just need to add those values to x. When this is factored down or in other words vertex form, the equation is y = (x+1)(x+11). The vertex is what value would make the equation equal 0. Since -1 + 1 equals 0 then that is one of the vertex and since -11 + 11 equal 0 that also makes that a vertex. This makes the vertex -1,-11.
A train leaves at 07.34 and arrives at its destination at 08.16. How long did it take to get to its destination
Answer:
El tren tardo 0.82 minutos .
To calculate the travel time of the train, we subtract the departure time (07:34) from the arrival time (08:16), which equals 42 minutes. Thus, the duration of the train's journey is 42 minutes.
Calculating Travel Time:
The given problem is a straightforward task of subtracting the time the train left from the time it arrived at its destination. The train leaves at 07:34 and arrives at 08:16. To find out how long the journey took, we simply calculate the difference in time.
Start time: 07:34Arrival time: 08:16Duration: Arrival timeTo perform the calculation, convert the times into a 24-hour format if they are not already. Since both times are in the morning, we just need to calculate the minutes. From 34 minutes past the hour to 60 minutes past the hour is 26 minutes. Then, there are an additional 16 minutes from 08:00 to 08:16. Add these two segments together to find the total duration of the trip.
The total duration is 26 minutes + 16 minutes = 42 minutes.
Therefore, it took the train 42 minutes to reach its destination.
The graph of y=g(x) is shown. Draw the graph of =y−2g(x)-1
The graph of y - 2g(x) - 1 is obtained by applying vertical stretching, reflection, and vertical translation to the original function g(x). The transformed points are (0, -1), (-2, -9), and (4, -5).
To draw the graph of y - 2g(x) - 1, we first need to understand the transformations applied to the original function g(x). The given coordinates (0, 0), (-2, -4), and (4, -2) correspond to points on the graph of g(x).
Now, consider the expression y - 2g(x) - 1. This involves subtracting twice the values of g(x) from y and then subtracting 1. This process suggests vertical stretching, reflection, and vertical translation.
Starting with the points on g(x), let's apply these transformations:
Vertical Stretching: The factor of 2 before g(x) indicates vertical stretching by a factor of 2.
Reflection: The subtraction of 2g(x) reflects the graph over the x-axis.
Vertical Translation: Finally, subtracting 1 shifts the graph downward by 1 unit.
Applying these transformations to the given points, we get the transformed coordinates: (0, -1), (-2, -9), and (4, -5).
Now, plot these transformed points on the graph. Connect the points smoothly to represent the new function y - 2g(x) - 1.
A composite figure has a radius of 10cm. What is the area of this composite figure. Use 3.14
Answer:
314
Step-by-step explanation:
Answer:
314
Step-by-step explanation:
I got it right.
2 1/7 divided by 1 1/14
Answer: 2
Turn 2 1/7 into an Improper Fraction
Multiply 2×7 and get 14. Now add 1 and get 15.
2 1/7 = 15/7
Turn 1 1/14 into an Improper Fraction
Multiply 1×14 and get 14. Now add 1 and get 15.
1 1/14 = 15/14
Your New Problem: 15/7×15/14
Multiply
15/7×15/14=225/98
Simplify
225/98=2.29591836735
Round (Nearest ones)
2.29591836735 rounded equals 2
Final Answer: 2
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{7} \div 1 \frac{1}{14} \\ \frac{15}{7} \div \frac{15}{14} \\ \frac{15}{7} \times \frac{14}{15} \\ = \frac{2}{1} = 2[/tex]
The guidance department has reported that of the senior class, 7.8% are members of key club, K, 8.6% are enrolled in AP Physics, P, and 6.7% are in both. 1) Determine the probability of P given K, to the nearest tenth of a percent. 2) The principal would like a basic interpretation of these results. Write a statement relating your calculated probabilities to student enrollment in the given situation.
Answer:
the probability of P given K is 0.86
Step-by-step explanation:
Conditional probability is defined as the probability that an event would happen based on the occurrence of an event that has already happened. It is calculated by multiplying the probability of the both the preceding event and the succeeding event together. It is given by the formula:
[tex]P(B/A)=\frac{P(A nB)}{P(A)}[/tex]
Given that:
Probability of members in the key club P(K) = 7.8% = 0.078
Probability of members enrolled in AP physics P(P) = 8.6% = 0.086
Probability of members in both P(P n K) = 6.7% = 0.067
Therefore:
[tex]P(P/K)=\frac{P(PnK)}{P(K)} =\frac{0.067}{0.078} = 0. 86[/tex]
the probability of P given K is 0.86
Plz help I’m bad at math
Answer:
Branliest appreciated
3. x = 14 degrees
4. x = 17.5 degrees
Step-by-step explanation:
SO, The first question:
6x - 21 = 105
6x = 105 -21
6x = 84
x = 14
SO, The second question:
55 + 85 = 8x
140 = 8x
17.5 = x
A floor plan shows that the exterior of a room has dimensions 12 feet by 17 feet. If the area of the room measured from the interior is only 176 square feet, express the thickness of the surrounding walls in feet. (Assume that the walls have uniform thickness).
Answer:
The thickness of the walls is 0.5 feet.
Step-by-step explanation:
Let's call the thickness of each all by T.
The external dimensions of the room are 12 feet by 17 feet, and these values include thickness of 2 walls each, so the internal dimensions are (12-2T) and (17-2T).
If the internal area is 176, we have the equation:
(12-2T) * (17-2T) = 176
204 - 58T + 4T2 = 176
4T2 - 58T + 28 = 0
2T2 - 29T + 14 = 0
Using Bhaskara, we have:
Delta = (-29)^2 - 4*2*14 = 729
sqrt(D) = 27
T1 = (29 + 27)/4 = 14 feet
T2 = (29 - 27)/4 = 0.5 feet
As the first value is too big and would generate a negative side for the room, we have that the thickness of the walls is 0.5 feet.
Jonathan's new car cost $29,000. After a year, the value of the car is $23,490. If the car depreciates by a fixed factor every year, what will be the value of the car two years after its purchase?
A. $23,985.90
B. $16,933.10
C. $19,026.90
D. $18,971.80
Answer:
I think It would be C or B
Step-by-step explanation:
Depending on the value of the car at first purchase.
Answer:
C
Step-by-step explanation:
23,490/29000=0.81
0.81*23,490=19026.90
Mrs. Delgado purchased notebooks at $2.50 each and pens at $2.00 per package. She spent $19.00 for a total of 8 items. Which system of equations below could be used to find n, the number of notebooks, and p, the number of packages per pens, that Mrs. Delgado purchased?
Answer:
n+p = 82.5n + 2p = 19Step-by-step explanation:
let n be the total number of notebooks.
let p be the total number of pens.
according to the question total number of pen and notebook is 8.
Therefore mathematically
n+p = 8 ---------------------equation A
______________________________________________
cost of one notebook = $2.50
number of notebook = n
therefore total cost of n notebook = n* 2.50 = 2.5n
cost of one pen = $2.00
number of pen = p
therefore total cost of p pen = p* 2.00 = 2p
according to the question total c cost of pen and notebook is $19.00.
Therefore mathematically
2.5n + 2p = 19 ---------------------equation B
______________________________________________
Set of equation as required by question are
n+p = 8 ---------------------equation A2.5n + 2p = 19 ---------------------equation BAnswer:
6,2
Step-by-step explanation:
(looked at in desmos)
The triangle below are similar. What is the scale factor of triangle ABC to triangle DEF?
Suppose you flip a coin and spin a spinner that is divided into 8 equal regions. Of the 8 equal regions, 3 are red, 4 are black and 1 green. What is the probability of "tails" on the coin, and the spinner landing on red?
Answer:
There is a 1/2 chance of getting tails on the coin and there is 3/8 chance of the spinner landing on red. hope this helps
Final answer:
To find the probability of "tails" on the coin, and the spinner landing on red, you should multiply the probability of getting tails (0.5) by the probability of landing on red (0.375), resulting in 0.1875 or 18.75%
Explanation:
The probability of a particular outcome in a compound event (two or more independent events happening together) is the product of the probabilities of the individual events. Tossing a coin has two possible outcomes: heads or tails, each with a probability of 0.5. Spinning a spinner with 8 equal regions, where 3 are red, gives a probability of landing on red as 3 out of 8, which simplifies to 0.375.
Therefore, the probability of getting "tails" on the coin and the spinner landing on red can be calculated by multiplying the probability of getting tails on the coin (0.5) by the probability of the spinner landing on red (0.375):
Probability(Tails and Red) = Probability(Tails) × Probability(Red)
Probability(Tails and Red) = 0.5 × 0.375
Probability(Tails and Red) = 0.1875 or 18.75%
work out the circumference of this circle take (pie) to be 3.142 and give ur answer in 1 decimal place radius=9m
The circumference of a circle with a radius of 9 meters, using pi as 3.142, is calculated as 56.6 meters when rounded to one decimal place.
Explanation:The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle.
In this case, the radius of the circle is 9m. Let's substitute this value into the formula:
C = 2 × 3.142 × 9
C = 56.556m
Therefore, the circumference of the circle is 56.6 meters (rounded to 1 decimal place).Calculating the Circumference of a Circle
To calculate the circumference of a circle with a radius (r) of 9 meters and using π (pi) as 3.142, we use the formula C = 2πr. By plugging in the given values, we get C = 2 × 3.142 × 9m. Performing the multiplication, we find that the circumference is 56.556 meters. Since we need to give our answer with one decimal place, we round to 56.6 meters.
The step-by-step calculation involves:
Multiplying the radius by 2 to find the diameter.