Answer:
Step-by-step explanation:
there is 1 dime and 12 quarters
A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shares. Which inequality represents the maximum cost of each pair, s, the coach can buy
Given a bag of 5 blue, 3 green, and 8 red marbles.. What is the probability of picking a blue
and then a green with NO replacement
[tex]b = 5, \: g = 3, \: r = 8[/tex]
[tex]total = 5 + 3 + 8 = 16[/tex]
[tex]p(b) = \frac{5}{16} [/tex]
[tex]p(g |without \: replacement|) = \frac{3}{16 - 1} = \frac{3}{15} = \frac{1}{5} \\ [/tex]
[tex]p(b \: and \: g) = \frac{5}{16} \times \frac{1}{5} = \frac{1}{16} [/tex]
Guliskhan plans to cover a certain distance by running and bicycling. She runs at a constant speed, and she bicycles at a speed of 7 meters per second (m/s)
Therefore, the inequality problem solution is even if Guliskhan runs for 60 seconds and cycles for 90 seconds, she will not be able to travel the required distance.
What is inequality?Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<
Here,
R should stand for Guliskhan's running seconds, and B should stand for her bicycling seconds.
Guliskhan is said to bike at a pace of 7 meters per second, hence the distance (in meters) that he covers in B seconds will be 7B.
An inequity of 3R + 7B 1000 has been handed to us.
We can observe that 7B reflects the cycling distance covered by Gulkishan in meters in B seconds.
Guliskhan covers a distance of 3R meters in the number of seconds she runs for, where R is the number of seconds she runs for.
Guliskhan moves at a steady pace of 3 meters per second because of this.
B. Since Gulkiskhan 3R plus 7B has traveled a total distance greater than or equal to 1000 meters, her minimum intended distance is 1000 meters.
C. Let's replace R=60 and B=90 in our inequality to see if Guliskhan is capable of traveling this minimum distance.
=>3*60 + 7*90 ≥ 1000
=>180 + 630 ≥ 1000
=>810 ≠> 1000
Therefore, even if Guliskhan runs for 60 seconds and cycles for 90 seconds, she will not be able to travel the required distance.
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How do you find the asymptotes and zeros of a function?
The process to find the asymptote and zeros of the function is explained below.
The term asymptote is referred as a horizontal/vertical/slant line to which the curve is very close to but the curve doesn't touch the asymptote.
Here we need to find the way to identify the asymptotes and zeros of a function.
The process of finding the asymptote is defined as,
If you want to find the horizontal asymptotes, then apply the limit x→∞ or x→ -∞.
Where as if you want to find the vertical asymptotes, then apply the limit y→∞ or y→ -∞.
Finally, if you want to find the slant asymptote, then divide the numerator by the denominator.
The process of finding the zero of the function is defined as the way to find the values of x where f(x) = 0.
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Find the lateral area of the regular prism with height h , if the base of the prism is: Equilateral triangle with the side 4 cm and h =2.5 cm
Answer:
the lateral area of the regular prism is 30 cm².
Step-by-step explanation:
Given;
the base of the regular prism, b 4cm
height of the prism, h = 2.5 cm
The lateral area of the regular prism is calculated as the product of the base perimeter and height of the prism.
L.A = P x h
where;
P is the perimeter of the base = 3 x 4cm (equilateral triangle has equal sides)
P = 12 cm
L.A = 12 cm x 2.5 cm
L.A = 30 cm²
Therefore, the lateral area of the regular prism is 30 cm².
Answer:
30 cm2
Step-by-step explanation:
could one side length of a function ever produce two different perimeters?
Answer: A perimeter is the total length of all the sides of a polygon. It is calculated by adding up the lengths of all the sides of the polygon. For a polygon with distinct and non-overlapping sides, each side length contributes exactly once to the perimeter. So in such case, a side length of a polygon can never produce two different perimeters.
However, it's worth mentioning that, one side length of a function could be a side of a polygon and the other could be a side of another shape. Also, it's possible that a single side length of an object is connected to a different set of side length, generating different perimeters.
For example, the length of an arc of a circle can be considered as a "side length" of the circle and it can be used to calculate both the perimeter of the arc and the circumference of the full circle, which are different measurements.
Also, a circular pool has a radius, but it's perimeter is the circumference, and this length is produced by the same radius but it's a different perimeter from the length of the radius.
In summary, a side length can produce different perimeter if we are talking about different shapes and measurements.
Step-by-step explanation:
Thirty-seven states use wind as a source of energy.
>What fraction of the states does not use wind energy?
Answer:
0.26. This is the fraction of states that do not use wind energy.
Step-by-step explanation:
There are 50 states total. If 37 use wind energy, then 50 - 37, or 13, do not.
13/50 = 0.26. This is the fraction of states that do not use wind energy.
A taxi driver filled his car petrol tank with 54 litres of petrol on Saturday. On Sunday he filled his tank with 64 litres of petrol. If the petrol costs Rs.82 per litre, how much did he spend on petrol?
Answer:
the amount spent on petrol is Rs 9,676
Step-by-step explanation:
Given that
The tax driver filled the car petrol with 54 liters on Saturday
On sunday, he filled his tank with 64 liters
And, the petrol cost is Rs 82 per liter
We need to find out the amount of money spent
SO,
= (54 liters + 64 liters) × Rs 82
= Rs 9,676
Hence, the amount spent on petrol is Rs 9,676
A train travels 90 miles in 15 minutes. How many miles does it travel in 2 hours?
Answer:
360
Step-by-step explanation:
60 divided by 15=4
90 x 4 =360
Answer:
720 miles
Step-by-step explanation:
This is assuming the train continues to move at the same speed.
You can think about the problem in the following way:
The 2 hour journey is split up into x number of 15 minute segments.
2 hours = 120 minutes
120/15 = 8
Therefore, x = 8.
If the journey can be split into 8 15 minute segments, and each 15 minute segment carries it 90 miles, the total distance traveled is given by:
8 * 90 miles = 720 miles
Atlernatively, you can calculate the average speed of the train.
Speed = Distance/Time
So: Speed = 90 miles/15 minutes = 6 miles/minute.
Reusing the above formula, substituting in speed = 6 miles/minute and time = 120
HURRY! PAST DUE MATH HOMEWORK!
Answer:
45.7 inches
Step-by-step explanation:
The perimeter uses 3 sides of the square, so 3 x 10 = 30. We'll add that later.
Then we need to find the circumference of the half-circle. We know the diameter is 10, because that's the side of a square.
Circumference = pi x diameter
C = 3.14 x 10 = 31.4
But that's for the whole circle. We only have a half.
31.4 /2 = 15.7 is the perimeter for the half circle. Add this to the 3 sides of the square
30 + 15.7 = 45.7
Nicole was driving down a road and after 6 hours she had traveled 90 miles. At this speed, how many miles could Nicole travel in 8 hours?
Answer:
120
Step-by-step explanation:
90÷6=15×8=120
HELP DESPERATE 50 POINTS AND BRAINLIEST!!!!!
Answer:
6 Passwords
Step-by-step explanation:
718, 781, 817, 871, 178, 187
(Hope this helped! Please comment any questions) :)
Answer:
The idiot that sent the link just got taken down so I'll just answer with my comment.
Step-by-step explanation:
"I believe it is 6"
Kelly started running around a track two laps before Anne. They are running at the same speed. Write an equation to find the number of laps, y Kelly
has run given the number of laps, X Anne has run.
1. X= 2y
2. Y= 2x
3. X= y+2
4. Y= x+2
Answer:
Step-by-step explanation:
There is a pile of LEGOS in Gracey's room. Three out of every five LEGO pieces are red How many pieces are red if there are 60 pieces of LEGOS in Gracey's room?
Answer: 36 are red
Step-by-step explanation:
3 out of every 5
5*12 = 60
so do 3*12 which = 36
36/60
Work out an expression for the nth term of the quadratic sequence
2, 17, 40, 71
Give your answer in the form
an^2 + bn + c
where a, b and c are constants.
I
Which of the following is equivalent to x/x^2-1 + 4/x^2-6x-7?
a. x(x-7)+4(x-1)/(x+1)^2(x-7)
b. x+4/(x+1)^2(x-7)
c. x(x-7)+4(x-1)/(x+1)(x-1)(x-7)
d. x+4/(x+1)(x-1)(x-7)
Answer:
x(x-7)+4(x-1)/(x-1)(x+1)(x-7)
Step-by-step explanation:
Given the expression x/x²-1 + 4/x²-6x-7
Factorize x²-6x-7
x²-6x-7
= x²-7x+x-7
= x(x-7)+1(x-7)
= (x+1)(x-7)
Replace back into the expression given
x/x²-1 + 4/x²-6x-7
= x/x²-1 + 4/ (x+1)(x-7)
= x/(x+1)(x-1) + 4/(x+1)(x-7)
Find the LCM
= x(x-7)+4(x-1)/(x-1)(x+1)(x-7)
This gives the required expression
How is the graphed system of equations classified?
Drag and drop words into the boxes to correctly complete the statements.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A Response area system has at least one solution. A Response area system has an infinite number of solutions.
A system that has no solution is classified as inconsistent.
A system that has one and only one solution is classified as independent
The system of equation graphed is consistent and independent.
How to interpret the graph of linear equations?The equations given by the graph are expressed as;
3x - 4y = 32
3x + 5y = 24
Now, if we subtract eq 1 from eq 2, we will get;
5y - (-4y) = 24 - 32
9y = -8
y = -8/9
Put 8/9 for y in eq 2 to get;
3x + 5(8/9) = 24
3x = 24 - 40/9
3x = 176/9
x = 176/27
Now, to classify solution to equations, we say that;
1) When there is no solution, it is inconsistent.
2) When there is one and only one solution, it is independent
Since we have a solution and only one solution, then we can say that the system of equation graphed is consistent and independent.
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HELP ILL GIVE BRAINLY IF ITS RIGHT
What is the volume of this composite solid?
2 m
4 m
7 m
2 m
2 m
O A. 78 cubic meters
B. 64 cubic meters
Ο Ο Ο
C. 58 cubic meters
D. 62 cubic meters
Answer:
B. 64 cubic meters
Step-by-step explanation:
The first rectangle has the dimensions 7 x 2 x 4. 2 x 4 is 8, and 8 x 7 is 56. The square has the dimensions 2 x 2 x 2, which is 8. 56 + 8 is 64, so the answer is 64.
Answer:
ITS B HOPE THIS HELPS
Step-by-step explanation:
Using a number line, find both the intersection and the union of the following
intervals:
(-3,∞) and (4,∞)
The answer choice which represents a number line for the intersection of the given intervals is; (4, ∞).
The answer choice which represents a number line for the union of the given intervals is; (-3, ∞).
What is the number line representation of the intersection and union of the given intervals?It follows from the task content that the number line which represents the intersection and union of both intervals given is to be determined.
Since the given intervals are; (-3, ∞) and (4, ∞)
It follows that the intersection of both intervals is the interval; (4, ∞).
Also, the interval which represents the union of both intervals is; (-3, ∞).
Hence, the image which represents both scenarios is attached.
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HELP DUE IN 15 MINS!
Quadrilateral ABCD is an isosceles trapezoid. Find the values of x and y.
x =?? degrees
° y =?? degrees
Answer:
Isosceles trapezoid has congruent base angles:
∠A ≅ ∠D and ∠B ≅ ∠C
5x = 80x = 164y - 12 = 1004y = 112y = 28Answer:
x = 16 degrees
y = 28 degrees
Step-by-step explanation:
1.) ∠A ≈ ∠D since they are base angles: so;
5x = 80
=> divide 5 on both sides:
x = 16 degrees
2.) Now Substitute 16 in for the x-value
5x ⇒ 5(16) = 80,
3.) Since we know the measure of the sum of interior angles is 360° we can say that:
(4y - 12) + 100 + 5(16) + 80 = 360
=> 4y - 12 + 100 + 80 + 80 = 360
=> 4y + 248 = 360
Subtract 248 on both sides of "="
=> 4y = 112
Divide 4 on both sides of "="
=> y = 28
Hope this helps!
Audrey has x pounds of red grapes and y pounds of green grapes. she has less than 5 pounds of grapes in all. which are reasonable solutions for this situation? check all that apply. (–1, 2) (1, 3.5) (2, 2) (4.5, 0.5) (5, 0)
The reasonable solutions for this situation is (1, 3.5) and (2, 2)
What is Graph?A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.
Audrey has x pounds of red grapes and y pounds of green grapes.
She has less than 5 pounds of grapes in all, hence:
x + y < 5
Also, x ≥ 0, y ≥ 0
a) The option (–1, 2) is wrong because x = -1 < 0
b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5
c) The option (2, 2) is correct because 2 + 2 = 4 < 5
d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.
e) The option (5, 0) is wrong because 5 + 0 is not less than 5
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a rectangular computer screen has an area o A square inches. The width of the computer is 7 inches. Which equation rpresents x the length of the computer screen in inches
Answer:
x = A/7
Step-by-step explanation:
Given that the screen is rectangular, recall that the area A of a rectangle whose length is L and width is W is given as
A = L * W
Hence if the width is 7 inches and the length is x inches then the area which is A square inches is connected to both sides as
A = x * 7
Divide both sides by 7
x = A/7 inches
……………………………………………………………………………
Answer:
ITS 64 degrees
Step-by-step explanation:
Answer:
116
Step-by-step explanation:
hope this helps:)..........
What is the third side of a triangle calculator?
The third side of a triangle can be calculated using the Pythagorean Theorem.
This theorem states that in a right triangle, the sum of the squares of the two sides is equal to the square of the hypotenuse. The hypotenuse is the longest side of the triangle and is opposite the right angle.
Formula:
[tex]a^2 + b^2 = c^2[/tex]
Determine the two side lengths of the triangle
Calculate the sum of the squares of the two side lengths.
Calculate the square root of the sum of the squares of the two side lengths. This is the length of the third side (the hypotenuse).
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The diameter of a circle is 16 in. Find its circumference in terms of \piπ.
Answer:
50.24
Step-by-step explanation:
The formula for solving circumference is 2 x pi x r
first the radius is 8 (divide 16 by 2 and get radius)
( pi can be 22/7 or 3.14. but I’m taking 3.14 )
second, we have all values, now we just have to substitute them!
Pi = 3.14
R = 8
so when we do 2x 3.14 x 8 = 50.24
I hope this helped!
Answer: The area of the circle is 64π cm
Step-by-step explanation:
d=16→r=8
A= π⋅8 ^2
A= π⋅64
A=64π
Radicals help please
Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.
Describe fraction.Components of fractions are the numbers in the numerator and denominator (and ratios). The denominator, which is the smallest number, represents the greatest possible number of parts that can be put together to create a whole. You can tell how many parts you have by looking at the numerator, which is the greatest number. It might not be the whole thing! If the denominator is 0, that is bad. Division by zero is prohibited. If the denominator is a 1, our fraction is actually an integer.
Here,
we can rationalize a radical-containing fraction's denominator by doing the following:
Step 1: In order to eliminate the radical from the denominator, multiply the numerator and denominator by a radical.
Verify in step two that all radicals have been streamlined.
Step three is to simplify the fraction, if necessary.
Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.
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What i the invere of f(x) = 3/(x 1) f ^ - 1 * (x) = (3 - 1)/x f ^ - 1 * (x) = 3 x f ^ - 1 * (x) = x^ 1 2 f ^ - 1 * (z) = 3/x - 1
The inverse of f(x) = 3/(x-1) is f^-1(x) = 3/x - 1.
So the correct answer is f ^ - 1 * (x) = 3/x - 1
The inverse of a function, denoted f^-1(x), is a function that "undoes" the original function. To find the inverse of a function, we need to switch the roles of x and y and then solve for x.
Given the function f(x) = 3/(x + 1), we can find its inverse by:
y = 3/ (x + 1)
Multiply with (x + 1) and divide by y
y(x + 1)/ y = (3/ (x + 1))×(x + 1)/ y
x + 1 = 3/ y
x = 3/ y - 1
Switching the roles of x and y:
y = 3/ x - 1
Thus f^(-1)(x) = 3/ x - 1
It's worth noting that in order for a function to have an inverse function it must be a one-to-one function. This means that for every y value there is only one x value.
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Question 10: Let the graph of f(x) represent the cost in thousands of dollars to feed the zoo animals daily, where x is the number of animals measured in hundreds. What does the solution to the function (2, 12) represent?
Cost (in thousands)
20
15
(2. 12)
10
5
Number of Animals (in hundreds)
• There are 200 animals, and the cost is $12,000 daily.
• There are 2,000 animals, and the cost is $1,200 daily.
• There are 1,200 animals, and the cost is $2,000 daily.
• There are 12,000 animals, and the cost is $200 daily.
Answer: I believe is the first one
Step-by-step explanation: It says animal in hundreds right. so looking at it 200 animals is right. But also x = 2 and y = 12
Hope this helps I'm sorry if it does not help
plss help help help can someone plss help me
~plss respect my question~
I really need this right now so please
Answer:
1) The stars are not constant in their position.
2) No. The stars aren't in original position because of apparent movement of stars in the sky.
3) Due to rotation of earth on its axis , the stars appear to move from west to east in the sky. Actually stars don't move as they are constant in their position but they appear to move with respect to earth.
4) Both the motion of stars & motion of sun are similar because both are an example of apparent motion. Both appear to change their respective positions but in reality , sun & stars are constant in their positions. But as earth is rotating , it appears like sun & stars are changing their positions.
Select the correct answer. A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 liked jazz. If the company estimates sales of 6,000 copies a week at its online store, how many will likely be from the rock genre
The company is likely to sell 3,120 copies of rock music per week.
If the company estimates sales of 6,000 copies a week at its online store, it is likely that 78/150 x 6,000 = 3,120 copies will be from the rock genre.
To find this, we first need to calculate the proportion of visitors that preferred rock music by dividing the number of visitors who preferred rock (78) by the total number of visitors surveyed (150). This gives us 78/150 = 0.52.
Next, we multiply this proportion by the estimated number of weekly sales at the online store (6,000) to find the number of sales that are likely to be from the rock genre. 0.52 x 6,000 = 3,120.
So, the company is likely to sell 3,120 copies of rock music per week.
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