Using proportions, it is found that Gene's speed was of 25 miles per hour, as he was 30 miles faster over a period of 6 hours.
What is a proportion?A proportion is a fraction of a total amount.
At 8 a.m. Anne left Austin and headed south at 20 mph, hence when Gene left at 10 a.m., she was 40 mph ahead.
At 4 p.m., that is, 6 hours after Gene left, the distance was of 10 miles, that is, Gene was 30 miles faster in 6 hours, so the difference in the speeds is given by:
d = 30/6 = 5 mph.
Since Anne's speed is of 20 mph, Gene's is given by:
v = 20 + 5 = 25 mph.
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expand and simplify (2x + 1) (x + 3)
a combination of numbers symbols and operations that shows a certain value
Look at this rectangle. Find the value of t.
Answer:
t=8
Step-by-step explanation:
t=8 is your answer
If you need solution do let me know in the comments
Of the 103 people enrolled in mathematics class, 91% are present How many are present? 114 113 94 93
Answer:
Just find the 91% of 103
103 * 91% = 103 * 0.91 = 93.73
About 94 are present from the 103 people
Step-by-step explanation:
hope this helps
pls mark brainliest
At the Kansas City Airport, a group of pilots for Skyways and Yellow Jet airlines were asked whether their flights were flying east or west. The two-way table shows their answers.
Flight Directions
A 4-column table with 3 rows. The first column has no label with entries skyways, yellow jet, total. The second column is labeled East with entries 30, 65, 65. The third column is labeled West with entries 33, 34, 67. The fourth column is labeled total with entries 63, 69, 132.
Which joint frequency has the most flights?
The joint frequency with the most flights in the given two-way frequency table is: yellow jet, going east.
What is a Two-way Frequency Table?A two-way frequency table is a table that displays joint frequency of two categorical variables using rows and columns to represent each.
Looking at the two-way table given, yellow jet, going east is the cell with the most flight. So, the joint frequency with the most flights is: yellow jet, going east.
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Answer:
c
Step-by-step explanation:
can somebody help me? anybody know the answer
Answer:
25 = c
Step-by-step explanation:
You had a good start on filling in the values in the Pythagorean Theorem. The work needed to be finished.
[tex]a^2 +b^2 = c^2\\\\20^2 +15^2=c^2\\\\400+225=c^2\\\\625=c^2\\\\\sqrt{625}=\sqrt{c^2}\\\\\boxed{25=c}[/tex]
Please help me thank you!
Answer:17.2414 percent!
Step-by-step explanation: I've done this before hope this helps
Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.
Which equation can be used to determine c, the unknown concentration?
30c + 10(0.2) = 40(0.32)
StartFraction 3 Over 4 EndFraction left-parenthesis c right parenthesis plus left-parenthesis StartFraction 1 Over 4 EndFraction left-parenthesis 0.2 right-parenthesis right-parenthesis equals 40 times 0.32.(c) + StartFraction 1 Over 4 EndFraction cup.(0.2) = 40(0.32)
(c)( (0.2)) = 40(0.32)
30(c)(10(0.2)) = 40(0.32)
Answer:
Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid
Step-by-step explanation:
Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:
10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8
To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8
Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36
Therefore the unknown solution is 36% acid.
Answer:
The first option (30c + 10(0.2) = 40(0.32)
PLEASE HELP ME WITH THIS!! IM STRUGGLING
Answer:
A: (0,-12)
Step-by-step explanation:
This chart is really helpful!
You just have to flip the coordinates and make the x value negative.
Have a great day!
Calculate the distance between the points G= -2.2) and C = (5, -1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Distance: 0
Answer:
Step-by-step explanation:
AHHH I'M LOSING POINTS PLEASE HELP
Answer:
Top Middle in the top column, rest bottom i think
Step-by-step explanation:
She sold 3 1/4 pie in the entire day, srry if i'm wrong friend.
super urgent can someone help me with this i spent a lot of points and i received a fake answer
Answer:
(a) 3, 2, -3, -7, -12, -18, -25, -33 etc.
(b) -44, -12, -4, 4, 12, 44
Step-by-step explanation:
Integer: whole numbers (including negatives)
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers (d and e) that multiply to [tex]ac[/tex] and sum to [tex]b[/tex] Rewrite [tex]b[/tex] as the sum of these 2 numbers: [tex]d+e=b[/tex]Factorize the first two terms and the last two terms separately, then factor out the comment term.Question (a)
Given quadratic: [tex]kx^2+5x+2[/tex]
[tex]\implies a=k, b=5\: \textsf{and}\:c=2[/tex]
You don't have to do this, but it is helpful to first find the range of k. To do this, use the discriminant [tex]b^2-4ac[/tex].
If the quadratic has 2 real roots then [tex]b^2-4ac > 0[/tex]
If the quadratic has 1 real root then [tex]b^2-4ac = 0[/tex]
Therefore, set the discriminant to ≥ 0
[tex]\implies 5^2-4(k)(2)\geq 0[/tex]
[tex]\implies 25-8k\geq 0[/tex]
[tex]\implies -8k\geq -25[/tex]
[tex]\implies 8k\leq 25[/tex]
[tex]\implies k\leq 3.125[/tex]
As k is an integer, [tex]k\leq 3[/tex]
Given quadratic: [tex]kx^2+5x+2[/tex]
[tex]\implies ac=k \cdot 2=2k[/tex]
[tex]\implies d+e=5[/tex]
So we need to find pairs of numbers that sum to 5 and multiply to a (negative or positive) even number, since [tex]ac=2k[/tex]
2 + 3 = 5 and 2 · 3 = 6 ⇒ 2k = 6 ⇒ k = 3
1 + 4 = 5 and 1 · 4 = 4 ⇒ 2k = 4 ⇒ k = 2
-1 + 6 = 5 and -1 · 6 = -6 ⇒ 2k = -6 ⇒ k = -3
-2 + 7 = 5 and -2 · 7 = -14 ⇒ 2k = -14 ⇒ k = -7
-3 + 8 = 5 and -3 · 8 = -24 ⇒ 2k = -24 ⇒ k = -12
-4 + 9 = 5 and -4 · 9 = -36 ⇒ 2k = -36 ⇒ k = -18
-5 + 10 = 5 and -5 · 10 = -50 ⇒ 2k = -50 ⇒ k = -25
-6 + 11 = 5 and -6 · 11 = -66 ⇒ 2k = -66 ⇒ k = -33
etc.
Therefore, possible values of k are:
3, 2, -3, -7, -12, -18, -25, -33 etc.
-------------------------------------------------------------------------------------------
Question (b)
Given quadratic: [tex]9x^2+kx-5[/tex]
[tex]\implies a=9, b=k\: \textsf{and}\:c=-5[/tex]
[tex]\implies ac=9 \cdot -5=-45[/tex]
Find factors of -45:
1 and -45-1 and 453 and -15-3 and 155 and -9-5 and 9As [tex]a+c=k[/tex]:
1 + -45 = -44-1 + 45 = 443 + -15 = -12-3 + 15 = 125 + -9 = -4-5 + 9 = 4Therefore, all possible values of k are -44, -12, -4, 4, 12, 44
A recipe calls for 1/2 cup of sugar for every 3/4 cup of flour. How much sugar is required for every cup of flour?
Answer:
2/3
Step-by-step explanation:
cup of sugar used for 3/4 cup of flour = 1/2
cup of sugar used for 1 cup of flour = 1/2*4/3 =2/3
Whats the answer please help!
1. What is the domain and range for the following function and its inverse? f(x) = x² +3
Answer:
Step-by-step explanation:
x^2 + 3
The domain is All Real x and the range is f(x) ≥ 3.
Find its inverse:
y = x^2 + 3
x^2 = y - 3
x = √(y - 3)
So f-1(x) = √(x - 3)
The domain is x ≥ 3 and range is f(x) ≥ 0.
(7x - 1) + (-x - 2) in simplest terms
Answer:
6x-3
Step-by-step explanation:
Which answer choice correctly represents an algebraic expression for the sum of 15 and a number?
Let the number be x
Sum of 15 and the numberSum of 15 and xWe use addiition sign
x+15The expression is x+15
If right angle ABC C is a right angle and sin a = sinB what is m a
Answer: As a result, the angle between m and n is 45 degrees.
Mrs. Girard bought a 2-ounce tube of eye cream. Each night, she carefully applies 0.1
ounces.
Write an equation that shows how the number of ounces of eye cream remaining, y, depend
on the number of nights Mrs. Girard uses it, X.
y =
Find the greatest common factor of 12x3y2 and 24xy3.
24xyz
O 12x3y3
O 12
O 12xyz
Answer:
b: 12
Step-by-step explanation:
24xy3 doesnt have x3 in it
So it cant be regarded as a factor
Brainliest please
Two similar triangles are shown on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6. Which set of transformations has been performed on triangle ABC to form triangle A'B'C'? Dilation by a scale factor of 4 followed by reflection about the x-axis Dilation by a scale factor of 2 followed by reflection about the x-axis Dilation by a scale factor of 4 followed by reflection about the y-axis Dilation by a scale factor of 2 followed by reflection about the y-axis\
The set of transformation that has been performed on triangle ABC
to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by
reflection about the x-axis " ⇒ 2nd answer
Step-by-step explanation:
Lets revise some important rules
The corresponding sides of similar triangles have constant ratio
Dilation makes a triangle and its image similar
Reflection about x-axis change the sign of the y-coordinate of a point after reflected about the x-axis
Δ ABC and Δ A'B'C are similar after set of transformations has been
performed on Δ ABC to form Δ A'B'C'
∵ The vertices of triangle ABC are:
A = (-2 , -1) , B = (0 , 0) , C = (1 , -3)
∵ The vertices of triangle A'B'C' are:
A' = (-4 , 2) , B' = (0 , 0) , C' = (2 , 6)
∵ x-coordinate of point A = -2 and x-coordinate of point A' = -4
∵ y-coordinate of point A = -1 and y-coordinate of point A' = 2
∵ x-coordinate of point B = 0 and x-coordinate of point B' = 0
∵ y-coordinate of point B = 0 and y-coordinate of point B' = 0
∵ x-coordinate of point C = 1 and x-coordinate of point C' = 2
∵ y-coordinate of point C = -3 and y-coordinate of point C' = 6
∵ Each coordinate of the vertices A , B , C is multiplied by 2 to give
the coordinates of the of the vertices A' , B' , C'
∴ Δ ABC is dilated by scale factor of 2
∵ The signs of y-coordinates of the vertices A , B , C is opposite to
the signs of y-coordinates of the of the vertices A' , B' , C'
∴ Δ ABC is reflected about the x-axis
The set of transformation that has been performed on triangle ABC
to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by
reflection about the x-axis "
Find x +y + z.
what is x,y, and z
Answer:
Hi, Victoria. When you are dealing with a system of equations in three variables, you want to see first if there is anyway that you can eliminate two variables in one fell swoop. Remember that for any one given equation, you can multiply both sides by the same number without making the equation untrue. Also, remember that you can add or subtract two equations.
If we add the first and second equations, we will eliminate both the x and the y.
(2x + y + z) + (2x - y - z) = (3) + (9)
Use the point–slope formula to write an equation of the line that passes through −4,15 and has a slope of m = − 4. Write the answer in slope–intercept form (if possible).
The equation of the line is_____
Let's split this problem into several steps:
Let's first put it into the point-slope form:
⇒ Point-slope form ⇒ [tex](y-y0)=m(x-x0)[/tex]
(x0,y0) --> any point on the linem --> slopeConsider the information given:
(x0,y0) --> (-4,15)m --> -4Let's plug the numbers in:
[tex]y - 15=-4(x+4)\\[/tex]
To put this format into slope-intercept form, we will solve for y:
⇒as in, move everything else to one side and y by itself on the other
[tex]y - 15=-4(x+4)\\y-15=-4x-16\\y = -4x-16+15\\y=-4x-1[/tex]
Thus the equation of the line is --> [tex]y = -4x - 1[/tex]
Hope that helps!
Which of the following is the absolute value parent function?
O A. F(x) = 1/x
O B. F(x) = [X]
O C. F(x) = x
O D. Rx) = (x1 - 1
Answer:
Answer c is the correct one
The absolute value parent function is typically denoted as f(x) = |x|.
None of the given options matches the absolute value parent function.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The absolute value parent function is typically denoted as f(x) = |x|. Therefore, none of the given options matches the absolute value parent function exactly.
f(x) = [x], represents the greatest integer function, also known as the floor function, which returns the largest integer less than or equal to x.
f(x) = 1/x, is a rational function, which has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
f(x) = x, is a linear function, which has a constant slope of 1.
f(x) = (x-1), is a linear function with a slope of 1, but it is shifted to the right by 1 unit.
Therefore,
The absolute value parent function is f(x) = |x|.
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Explain the difference between probability, chance, and odds
Answer:
Probability: The fraction you would expect to see a certain event occurring in many trials.
Ex: the probability of an event (blank) happening might be 0.75. This is more known as the normalized probability.
Chance: Chance is a synonym of probability, is usually expressed as a percentage
Ex: 100%
Odds: They are the ratios of probabilities, they can be defined in two different ways: odds in favor of an event (“odds on”) or against an event (“odds against").
Ex: let's just say if the probability of an event occurring is 0.75, then the odds for it happening are 0.75/0.25 = 3/1 = 3 to 1 while the probability that it doesn’t occur is 1 to 3 against.
Step-by-step explanation:
Which of the following best describes AB in the regular pyramid below? A B A. Altitude B. Slant height C. Face D. Edge
Answer:
the correct answer is
option b
slant height
Step-by-step explanation:
slant height of a pyramid is defined as a distance measure along a lateral face from a base of a triangle because hypotenuse of a right angle triangle is half on the base
distance from the center of the base to the point where the slant height segment
The line AB in the pyramid is the slant height of the pyramid.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex.
Given is a pyramid with AB labelled at one of its face, we need to determine the name for AB,
So, here AB is the slant height.
Slant height of a pyramid is defined as a distance measure along a lateral face from a base of a triangle because hypotenuse of a right angle triangle is half on the base distance from the center of the base to the point where the slant height segment.
Hence, the line AB in the pyramid is the slant height of the pyramid.
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Find the solution to each problem. Show all of your work.
1. Haley and her family went on a vacation. To get to the beach, they drove for 3 hours and 25 minutes. When they headed back home, it took them 230 minutes to get home. Did it take longer to get to the beach or to get home from the beach?
2. Yesterday, it rained for 335 minutes. The day before that it rained for 5 hours and 10 minutes. On which day did it rain for a longer period of time?
3. Wendy’s family lost the power at their house when there was a bad storm. The powerwas out for 3 days! Wendy’s neighbors lost power for 68 hours. Whose power was outfor a greater amount of time?
4. Paul finished his 800 meter race in 2 minutes and 2 seconds. Jeff finished in 121 seconds. Who finished first? (Remember, the person with the lowest time finishes first.)
5. Write your own question that involves time conversion and ask someone to solve it. Make sure you solve it too so you know if they get the correct answer!
1. 1 hour = 60 minutes
We convert 3 hours and 25 minutes to minute : 3 x 60 + 25 = 205 (minutes). Since 205 < 230, it took longer to get home than getting to the beach.
2. (Same convertion)
5 hours and 10 minutes = 5 x 60 + 10 = 310 (minutes)
So, the last day rained longer than the day before it.
3. 1 day = 24 hours.
We convert 3 days to hours : 3 x 24 = 72 (hours)
Since 72 > 68, Wendy's family lost their power longer than their neighbors.
4. 1 minute = 60 seconds
Convert 2 minutes and 2 seconds to seconds : 2 x 60 + 2 = 122 (seconds)
Since 122 > 121, it means Paul took longer to finish his race, which mean Jeff finished first (Rip Paul)
5.
Question : Bob bought 2 pizzas for him and his friend, Kevin. They both ate 1 pizza. Bob finished his pizza in 6 minutes and 45 seconds. Kevin finished his pizza in 400 seconds. Who finished first?
Solution : Convert 6 minutes and 45 seconds to seconds : 6 x 60 + 45 = 405 (seconds)
Since 405 > 400, Bob took longer to finish his pizza -> Kevin finished first.
Julia is going to invest $860 and leave it in an account for 8 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Julia to end up with $1,190?
Answer:
$860(860×12×8×1190÷100)
81872_860
=$81012
The circumference of a circle is 19π m. What is the area, in square meters? Express your answer in terms of pi
After participating in a track meet, athletes were given the option to drink a sports drink or water. The results showed that 85 athletes chose a sports drink, 62 athletes chose water, and 14 athletes chose not to drink anything. Of those that chose water or a sports drink, 27 athletes choose to drink both.
How many athletes did not choose water?
1.) 99
2.) 85
3.) 72
4.) 58