Answer: 11
Step-by-step explanation:
You can set up a ratio.
8/456 = x/627
Cross multiply and divide
8 • 627 = 5016
5016 / 456 = 11
Final answer:
It takes 11 hours to drive 627 miles when the rate is 57 miles per hour, which is derived from the given information that 456 miles are driven in 8 hours.
Explanation:
To determine the travel time for 627 miles when we know that 456 miles were driven in 8 hours, we can use the concept of direct variation. With direct variation, if two variables vary directly, as one increases, the other also increases by a constant multiplier known as the constant of variation (k). In this case, the distance traveled varies directly with the time spent driving.
First, we need to determine the rate of driving based on the information provided:
Distance (d) = 456 milesTime (t) = 8 hoursRate (r) = d/t = 456 miles / 8 hours = 57 miles/hourNow we can use the rate to calculate the time required to drive 627 miles:
Distance (d) = 627 milesRate (r) = 57 miles/hourTime (t) = d/r = 627 miles / 57 miles/hour = 11 hoursIt would take 11 hours to drive 627 miles at that rate.
consecutive angles in a parallelogram are_?
Answer:
supplementary
Step-by-step explanation:
Consecutive angles in a parallelogram sum to 180°
That is they are supplementary.
Slope of line y = -2x+ 4
Answer:
-2
Step-by-step explanation:
The equation of a line in slope intercept form is
y = mx +b where m is the slope and b is the y intercept
y = -2x+4
The slope is -2 and the y intercept is 4
help as soon possible thank you
Answer:
The correct answer option is D. (-2, 1).
Step-by-step explanation:
We are given the coordinates of the square A"B"C"D" after the rule is applied and we are to find the coordinates of the vertex A.
For that, we will reverse the rule.
A" = (-5, -3)
x: - 5 + 4 = -1
y: - 3 + 1 = -2
Now we will reverse the 90 degrees counter in counter clockwise rotation:
(x, y) ---> (y, -x)
(-1. -2) ---> (-2, -(-1)) = (-2, 1)
Make q the subject of the formula 5(q+p)=4+8
Answer:
q = [tex]\frac{4+3p}{5}[/tex]
Step-by-step explanation:
Given
5(q + p) = 4 + 8p ← distribute the left side
5q + 5p = 4 + 8p ( subtract 5p from both sides )
5q = 4 + 3p ( divide both sides by 5 )
q = [tex]\frac{4+3p}{5}[/tex]
The equation in its simplest form and q as subject is q = (1/5)(4+3p)
What is the meaning of Simplest form ?Reducing any fraction or equation to its simplest form means to to reduce it to a form from where no more factors can be taken common from the numerator and denominator , or the equation is in the form where no more simplification can be done.
An equation is given in the question .
5(q+p) = 4+8p
To reduce it in the simplest form and making q as the subject ,
then p will be the subject .
5q+ 5p = 4+8p
5q = 4 + 8p - 5p
5q = 4 +3p
q = (1/5)(4+3p)
Therefore the equation in its simplest form and q as subject is q = (1/5)(4+3p)
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What is 600 cm to m is
Answer:
6m
Step-by-step explanation:
for every one meter there's 100 cm so 600cm = 6m
There are 100 cm in 1 m this means that to find how many meters are in cm you would divide 600 by 100
600 / 100
6 m
There are 6 meters in 600 centimeters
Hope this helped!
~Just a girl in love with Shawn Mendes
What is the solution to the system of equations y equals 1.5 x - 4 y equals negative X
Answer:
(1.6, -1.6)
Step-by-step explanation:
We have the following system of equations:
[tex]y=1.5x - 4[/tex]
[tex]y=-x[/tex]
We have the following system of equations:
To solve the system substitute the second equation in the first one and solve for x
[tex]y=1.5x - 4[/tex]
[tex]-x=1.5x - 4[/tex]
[tex]4=2.5x [/tex]
[tex]2.5x =4[/tex]
[tex]x =\frac{4}{2.5}[/tex]
[tex]x = 1.6[/tex]
Now replace the value of x in one of the two equations and solve for y
[tex]y=-x[/tex]
[tex]y=-1.6[/tex]
The solution is:
(1.6, -1.6)
2x
2
−28x+98=02, x, start superscript, 2, end superscript, minus, 28, x, plus, 98, equals, 0
x = {}x=x, equals
Answer:
7
Step-by-step explanation:
2x² - 28x + 98 = 0
x² - 14x + 49 = 0
(x - 7)² = 0
x = 7
To solve the equation 2x^2 - 28x + 98 = 0, we can use the quadratic formula. After substituting the values into the formula, we simplify the equation and solve for x. The solution is x = 7.
Explanation:Solution:To solve the equation 2x2 - 28x + 98 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 2, b = -28, and c = 98. Substituting these values into the formula:
x = (-(-28) ± √((-28)^2 - 4(2)(98))) / (2(2))
Simplifying the equation gives:
x = (28 ± √(784-784)) / 4
Since the term inside the square root is zero, we have:
x = (28 ± √0) / 4
The square root of zero is zero, so:
x = (28 ± 0) / 4
Simplifying further:
x = 28 / 4
x = 7
Therefore, the solution to the equation 2x2 - 28x + 98 = 0 is x = 7.
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Combine and simplify the x terms in the expression -7x+15x-40x
Answer:
-32x
Step-by-step explanation:
Combine like terms (terms with the same amount of variables).
First, subtract 7x from 15x:
15x - 7x = 8x
Next, subtract 40x from 8x:
8x - 40x = -32x
-32x is your answer.
~
2x+5= -x+(-1). What was the first step
Answer:
C)
Step-by-step explanation:
The first thing you want to do is add x to both sides (add one positive x-tile):
2x+5=-x-1
+x +x
2x+x+5=-x+x-1
combine like terms
3x+5=-1
what are composed of dna and protein
Answer:
Chromosome is made up of DNA tightly coiled many times around proteins.
Step-by-step explanation:
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Adam put $100 in a savings account. After 10 years, he had $1649 in the
account. What rate of interest did he earn? Use the formula A = Per, where A
is the ending amount, Pis the principal (initial amount), r is the interest rate,
and t is time.
Adam earned approximately 12.48% interest on his savings account over 10 years.
To find the rate of interest (r) earned by Adam, we can use the formula for compound interest:
A = P * (1 + r[tex])^{t}[/tex]
where:
A = ending amount ($1649 in this case)
P = principal (initial amount) ($100 in this case)
r = interest rate (what we want to find)
t = time (in years) (10 years in this case)
We know the values of A, P, and t, so we can plug them into the formula and solve for r:
1649 = 100 * (1 + r)¹⁰
Divide both sides of the equation by 100:
16.49 = (1 + r)¹⁰
Now, let's isolate (1 + r) by taking the 10th root of both sides:
(1 + r) = √(16.49)
(1 + r) ≈ 1.12479
Now, subtract 1 from both sides to find the value of r:
r ≈ 1.12479 - 1
r ≈ 0.12479
Finally, convert the decimal to a percentage to get the interest rate:
r ≈ 0.12479 * 100
r ≈ 12.48%
So, Adam earned approximately 12.48% interest on his savings account over 10 years.
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If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it take the baseball to hit the ground? Use the equation h = −16t2 + 64t + 4.
Answer:
4.0616 seconds approximately
Step-by-step explanation:
We are looking for how long it takes the ball to hit the ground. h is 0 then.
So we are looking to solve -16t^2+64t+4=0
Divide both sides by -4 to make the numbers a little simpler to work with.
4t^2-16t-1=0
You could aim for completing the square or quadratic formula here.
I'm going for quadratic formula.
a=4
b=-16
c=-1
So the discriminant=b^2-4ac=(-16)^2-4(4)(-1)=16^2+16=16(16+1)=16(17)=272
You could have just put (-16)^2-4(4)(-1) into your calculator.
The quadratic formula says to do:
-b plus or minus square root (discriminant)
-------------------------------------------------------------
2 times a
=
16 plus or minus sqrt(272)
-------------------------------------
8
=(approximately)
16 plus or minus 16.4924
-----------------------------------
8
=
16+16.4924 16-16.4924
---------------- or ----------------
8 8
=
32.4924 -0.4924
------------- or -----------
8 8
=
4.0616 or -0.062
So the baseball hits the ground 4.0616 seconds approximately after the ball has been hit.
Answer: 2 plus or minus square root of 17 end root over 2
100 Points please answer the question
Answer:
B) 54 inches
Step-by-step explanation:
2*3 = 6
3*3 = 9
A= l*w
6*9=54
Answer:
b 54 inches^2
Step-by-step explanation:
2 inches by 3 inches gets scaled by 3
it becomes 2*3 by 3*3
6 inches by 9 inches
The area is
A = l*w
A = 6*9
A = 54 inches^2
P(A)= 0.50, P(B)= 0.40, and P(A and B)=0.15 what is P(A or B)?
Probabilities are used to determine the chance of events
The value of [tex]\mathbf{P(A\ or\ B) }[/tex] is 0.75
The given parameters are:
[tex]\mathbf{P(A) = 0.50}[/tex]
[tex]\mathbf{P(B) = 0.40}[/tex]
[tex]\mathbf{P(A\ and\ B) = 0.15}[/tex]
The required probability is calculated using:
[tex]\mathbf{P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)}[/tex]
So, we have:
[tex]\mathbf{P(A\ or\ B) = 0.50 + 0.40 - 0.15}[/tex]
[tex]\mathbf{P(A\ or\ B) = 0.75}[/tex]
Hence, the value of [tex]\mathbf{P(A\ or\ B) }[/tex] is 0.75
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Answer:0.75
Step-by-step explanation:
did it
1 2 3 4 5 6 7 8 9 10
TIME REMAINING
01:24:54
Which graph represents this system?
y=1/2x + 3 y= 3/2x -1
Answer:line a would have a y intercept of three and a slope of 1/2. Line b would have a y intercept of negative one and a slope of 3/2
Step-by-step explanation:line a would start at 3 on the y axis and move up one to the right two. Line b would start at -1 on The y axis and move up three to the right two
The system of equations y=1/2x + 3 and y= 3/2x -1 can be represented as two lines on a graph, the intersection of which indicates any common solution.
Explanation:The system y=1/2x + 3 and y= 3/2x -1 represents two linear equations. These two equations can be graphed out onto the x and y-axis. The first equation y=1/2x + 3 will have a slope of 1/2 and y-intercept of 3, and the second equation y= 3/2x -1 will have a slope of 3/2 and y-intercept of -1.
To graph the first equation, start at the point (0,3) on the y-axis. From there, as the slope is 1/2, for every 2 units you move to the right on the x-axis, you will move 1 unit up on the y-axis.
To graph the second equation, start at the point (0,-1) on the y-axis. As the slope is 3/2, for every 2 units you move to the right on the x-axis, you will move 3 units up on the y-axis.
These lines intersect at their solution, if one exists, that is a common point on both lines.
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what is .84 divided by .02
please help me because i really really REALLY need help on this
Hello There!
.84 ÷ .02 ≈ 42
WORK SHOWN IN IMAGE ATTACHED
A spinner has 5 sector's of equal size. The sectors are labeled 1,2,3,4, and 5. the spinner is spun twice.x is the number of times 3 is spun
Answer:
Because the sectors are of equal size, each sector has the same probability of happening.
So for every number, you have a probability of 0.2 of it appearing.
Because you have three odd numbers, the probability to land on an odd number on each spin is 0.6. You can also say that the probability to not have an odd number is 0.4.
So what is the probability to have 0 odd number in two spins?
What is the probability to have 1 odd number in two spins? You can have one odd number on the first or one odd on the second spin, that is why we add the probabilities.
What is the probability to have 2 odd numbers in two spins?
To verify if we did a good job, we add all the probabilities. We should get 1.
.
So to slide your bars, you slide them up to the number I gave you for each case.
Hope this helps!
The likelihood of spinning a 3 on an equal-segment spinner is 1/5 per spin. When spun twice, the probability of getting 3 both times is 1/25. The variable x, which represents how many times 3 is spun, can therefore be 0, 1, or 2.
Explanation:Your inquiry is related to probability.
Each spin of the spinner is an independent event. This means that the result of the first spin does not influence the result of the second spin. Since the spinner is equally likely to land on any of the 5 sectors, the probability of it landing on 3 (or any given number) is 1 out of 5 or 1/5.
Since the spinner is spun twice, we multiply these probabilities together to find the total probability of spinning a 3 both times. Therefore, the total probability of spinning a 3 twice would be (1/5) * (1/5) = 1/25.
Thus, the variable x, representing the number of times 3 is spun in these two attempts, can be 0, 1, or 2. These are the possible outcomes.
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Which one is the correct answer?
Answer:
C
Step-by-step explanation:
So I'm going to subtract (x+7)/(x+3) on both sides:
(x-6)/(x+5)-(x+7)/(x+3)>=0
Now I'm going to find a common denominator which is (x+5)(x+3).
[(x-6)(x+3)-(x+7)(x+5)]/[(x+5)(x+3)]>=0
Now I just have a lot of simplifying to do:
[x^2+3x-6x-18-(x^2+5x+7x+35)]/(x^2+3x+5x+15)>=0
[-3x-18-12x-35]/(x^2+8x+15)>=0
[-15x-53]/[x^2+8x+15]>=0
find the value -2/3÷ 4/6.
A -1
B 4/9
C -9/4
D 1
the suare root of 9x plus 7 plus the square rot of 2x equall to 7
Answer:
Square root 9x + 7 + square root 2x = 7
Step-by-step explanation:
Square root 9x + 7 + square root 2x = 7, if i could put the square root symbol in I would.
Hope my answer has helped you and if not i'm sorry.
A restaurant offers 8 appetizers and 6 main courses. In how many ways can a person order a two-course meal?
Answer:
= 48 ways to order a 2-course meal.
Step-by-step explanation:
Number of appetizer choices = 8
Number of main course choices = 6
Number of possible combinations of appetizer and main course
= 6 x 8
= 48 ways to order a 2-course meal.
The number of ways is an illustration of selections and arrangements
There are 48 ways to order a two-course meal
The given parameters are:
[tex]\mathbf{Appetizer = 8}[/tex]
[tex]\mathbf{Main = 6}[/tex]
A person can choose 1 a-piece from each menu.
This means that:
There are 8 ways of selecting appetizers, and 6 ways of selecting the main courses.
So, the number of ways (n) is:
[tex]\mathbf{n = Appetizer \times Main}[/tex]
This gives
[tex]\mathbf{n = 8 \times 6}[/tex]
[tex]\mathbf{n = 48}[/tex]
Hence, there are 48 ways to order a two-course meal
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What are the slope and the y-intercept of the linear function that is represented by the graph?
The slope is 3, and the y-intercept is 9.
The slope is 3, and the y-intercept is 12.
The slope is 4, and the y-intercept is 9.
The slope is 4, and the y-intercept is 12.
Answer:
The slope is 4 and the y-intercept is 12.
Answer:
The slope is 4, and the y-intercept is 12.
Step-by-step explanation:
In the given graph consider to coordinates of line:
(-3,0), (-2,4)
Slope of the of line can be calculated by using formula:
[tex](x_1,y_1) , (x_2,y_2)[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4[/tex]
And the equation of the line can be given as:
[tex](y-y_1)=m(x-x_1)[/tex]
m = slope of the line
[tex](y-0)=4\times (x-(-3)[/tex]
[tex]y=4x+12[/tex]
Slope intercept form of line:
[tex]y=mx+c[/tex]...
c = intercept on y axis
On comparing equation line with slope intercept form
y=4x+12
y=mx+c
m = 4, c = 12
The slope is 4, and the y-intercept is 12.
If h(x)=6-x,which is the value of (h*h)(10)
Answer:
16
* usually means multiplication
If you have an open circle there instead, please inform me.
Step-by-step explanation:
* usually means multiplication
If you had an open circle there, please let me know.
Find h(10) and then multiply that answer to itself.
h(10)=6-10=-4
So the answer is -4*-4=16
Evelyn has three apples to just serve to her friends. if Evelyn served each friend 1/3 of a whole Apple, how many friends can she serve?
Evelyn can serve nine friends with her three apples if she gives each friend 1/3 of an apple by performing a simple multiplication of the number of apples, which is 3, by the reciprocal of 1/3.
Evelyn has three apples and wants to serve each friend 1/3 of a whole apple. To find out how many friends she can serve, we must divide the total number of apples (which is 3) by the fraction each friend receives (which is 1/3).
We perform the division by multiplying the total number of apples by the reciprocal of 1/3, which is 3. So, 3 apples x3 gives us 9. Therefore, Evelyn can serve nine friends.
Understanding fractions can be made easier by relating them to everyday examples. Say, if you have a whole pie, then one-third of this pie represents a slice that is one out of three equal parts of the pie. Knowing that four quarters make one dollar can also make it easy to grasp that four quarters (or four 1/4s) make a whole, just like four 1/4s of a pie would make a full pie.
Multiply and subtract these polynomials and simplify. Enter your response in standard form (2x3 - 3x + 11) – (3x2 + 1)(4 – 8x)
Answer:
= 26x3 − 12x2 + 5x + 7
Step-by-step explanation:
Use the FOIL method to multiply the two binomials. Then distribute the negative sign. Finally, order like terms from highest degree to lowest degree and combine.
(2x3 − 3x + 11) − (3x2 + 1)(4 − 8x)
= (2x3 − 3x + 11) − (12x2 − 24x3 + 4 − 8x)
= 2x3 − 3x + 11 − 12x2 + 24x3 − 4 + 8x
= 2x3 + 24x3 − 12x2 − 3x + 8x + 11 – 4
= 26x3 − 12x2 + 5x + 7
For a given right triangle side a=76.4 ft and side b=39.3 ft. What is the measure of angle A to the nearest degree?
The measure of angle A in the right triangle with sides a=76.4 ft and b=39.3 ft can be found using the tangent function and is approximately 62 degrees when rounded to the nearest degree.
Explanation:To find the measure of angle A in a right triangle with given sides a=76.4 ft and b=39.3 ft, we can use trigonometric functions. Since side a is opposite to angle A and side b is adjacent to angle A, we will use the tangent function, which is the ratio of the opposite side to the adjacent side. The formula to find the angle is angle A = tan∑(a/b).
Plugging in the values, we get:
angle A = tan∑(76.4/39.3)
By using a calculator, we find:
angle A = tan∑(1.9435) ≈ 62 degrees
Rounded to the nearest degree, the measure of angle A is approximately 62 degrees.
Two factors of 18 add up to 12. What are they?
Answer:
3 and 9
Step-by-step explanation:
The factors of 18 can be listed as
1, 2, 3, 6, 9, 18
The two which sum to 12 are 3 and 9
true or false? a tangent line is a line that intersects a circle at exactly one point. APEX
Answer:
I believe its true
A student find the slope of the line between (8,17) and (1,4)
She writes 17-4/ 1-8. What mistake did she make
[tex]\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{17})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-17}{1-8}\implies \cfrac{-13}{-7}\implies \cfrac{13}{7} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{17-4}{1-8}\stackrel{\leftarrow \textit{atop she used }y_1-y_2}{\frac{}{}}~\hfill[/tex]
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_{2} -x_ {1}}[/tex]
According to the data we have the following points:
[tex](x_ {1}, y_ {1}) :( 1,4)\\(x_ {2}, y_ {2}) :( 8,17)[/tex]
Substituting we have:
[tex]m = \frac {17-4} {8-1}\\m = \frac {13} {7}[/tex]
So, the slope is [tex]\frac {13} {7}[/tex]
ANswer:
The student's mistake was to erroneously subtract the "x" coordinates from the points
The graph of f(x) = x2 is shifted 3 units to the right to obtain the graph of g(x). Which of the following equations best describes g(x)? (1 point) g(x) = (x + 3)2 g(x) = x2 − 3 g(x) = x2 + 3 g(x) = (x − 3)2
Answer:
[tex]g(x)=(x-3)^{2}[/tex]
Step-by-step explanation:
Options 2 and 3 are discarded because those are traslations to up and down.
Now, the point (0,0) is in the function [tex]f(x)=x^{2}[/tex] and after being traslated it needs to be (3,0). The option [tex]g(x)=(x+3)^{2}[/tex] doesn't satisfice that because the image of 3 is 36 and needs to be 0. On the other hand, [tex]g(x)=(x-3)^{2}[/tex] is the only option that contains the point (3,0) so it is the correct answer.
Answer..
D) g(x) = (x − 3)2