The aerobics class lasted 20 minutes and the yoga class lasted 50 minutes. This was determined by setting up an equation and solving for the duration of each class, given the total time and the information that the yoga class was 30 minutes longer.
Explanation:The student is trying to find out how long each class was—Nicole attended an aerobics class and a yoga class for a total of 1 hour and 10 minutes, with the yoga class lasting 30 minutes longer than the aerobics class. To find the answer, we can set up an equation. Let the duration of the aerobics class be x minutes. Therefore, the duration of the yoga class would be x + 30 minutes. According to the question, the total time spent in both classes is 70 minutes (1 hour and 10 minutes).
Now, we can write an equation that represents the total time:
x (aerobics class) + x + 30 (yoga class) = 70 minutes
Combining the x terms we get:
2x + 30 = 70
To find x, we subtract 30 from both sides of the equation:
2x = 40
Dividing both sides by 2 gives us:
x = 20
So the aerobics class lasted 20 minutes, and since the yoga class was 30 minutes longer, it lasted 50 minutes.
What is the change in temperature from -45 to -71
-26 is the change because -71 - -25 is -26
I do these types of problems a little different then some may. I turn this into a positive and see how far it is like that.
When thinking of it like that, how many numbers are between 45 and 71?
Just subtract 71-45= 26.
So know we know that there are 26 numbers in between 45 and 71.
If you go back to the original problem, you will see to get from -45 to -71, you have to -26.
So the temperature has to drop 26 degrees making your change in temperature -26 degrees.
Aaron say more information is needed to find the volume of the prisms. explain why Aaron is mistaken and calculate the volume of the prisms? ?
1.V= 60cm^2 times 5cm
V=300cm^3
2.20in^2 times 12in
V=240in^3
he does not need more info because you can take the area of a layer and multiply it by the number of layers
hope this helps :)
find the median for quiz score 9 14 8 16 13 15
It's 13.5 because you put them in order and then you have 13 and 14 you add them together and then divide by 2
So you first have to order them least to greatest, which would be : 8 , 9 , 13, 14 , 15, 16. Since the number of numbers is even, average the 2 middle numbers. This is 13 + 14 divided by 2 or 13.5.
The question is on the picture
Answer,
100,000,000 > 334,605,925
But, 100,000,000 is smaller that 334,605,952
So, It would be "100,000,000 < 334,605,925"
Use the drop-down menus to choose steps in order to correctly solve 4k−6=−2k−16−2 for k.
First you subtract by the numbers.
[tex]4k-6=-2k-18[/tex]
Then you add by six from both sides of equation form.
[tex]4k-6+6=-2k-18+6[/tex]
Simplify.
[tex]4k=-2k-12[/tex]
Next add by two-k from both sides of equation form.
[tex]4k+2k=-2k-12+2k[/tex]
Then simplify.
[tex]6k=-12[/tex]
Next divide by six from both sides of equation form.
[tex]\frac{6k}{6}=\frac{-12}{6}[/tex]
And finally, simplify by equation.
[tex]k=-2[/tex]
Final answer is ⇒ [tex]\boxed{k=-2}[/tex]
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie
Answer:
First drop-down : -
Second drop-down : 12
Third drop-down : 6
Fourth drop-down : -12
Fifth drop-down : -2
Show your work. Solve for x.
-3(x+2)+5x=-9
-3(x+2)+5x=-9
-3(x)-3(2)+5x=9
-3x-6+5x=9
2x-6=9
2x=9+6
2x= 15
2x/2=15/2
X= 7.5
[tex]-3(x+2)+5x=-9[/tex]
Distribute the -3
[tex]-3x-6+5x=-9[/tex]
Combine like terms
[tex]2x-6=-9[/tex]
Add 6 on both sides
[tex]2x=-3[/tex]
Divide by 2 on both sides
[tex]x=-1.5[/tex]
x is equal to -1.5
What is the difference between slope intercept form and point slope form? Also, why can't you just use slope intercept form instead of point slope form? You can just substitute the y-intercept and slope for y=mx+b.
BRANLIEST FOR WHOEVER ANSWERS THE QUESTION THE BEST
Answer:
1) point-slope form
2) slope intercept form
Explanation:
1) y−b=m(x−a)
m = slope
(a, b) A point that the line passes through
2) y=mx+b
m = slope
b = y-intercept
The required difference between slope intercept form and point-slope form line is when we have slope and y-intercept we use slope-intercept equation and when we have coordinates of a point on the line we use the point-slope form of the line.
The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.
The slope-intercept form of the equation of a line is,
y = mx +c - - - - - - (1)
The point-slope form of the line is given by,
(y - y1) = m(x - x1) - - - - - - (2)
where m is the slope of equation and m = (y2 - y1) / (x2 - x 1).
Thus, we use a slope-intercept form of the equation when we have given the slope of the line and y-intercept of the line. when we have a coordinate of one point and slope or more than two coordinates of points on the line so we use the point-slope form of the equation.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
5: What is the equation of the line parallel to x = 7, passing through the point (-4, 1)?
A. X = -4
B. X = 1
C. Y = -4
D. Y = 1
Answer:
The correct option is: A. X= -4
Step-by-step explanation:
The equation of the given line is: [tex]x=7[/tex]
As the given line is a vertical line parallel to y-axis, that means the slope of the line is 'undefined' or [tex]\frac{k}{0}[/tex], where [tex]k[/tex] is any real number.
Now, the slope of the line which is parallel to the given line will be also [tex]\frac{k}{0}[/tex], as the slopes of parallel lines are always equal.
The parallel line is passing through the point (-4, 1). So, using point-slope form.......
[tex]y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4[/tex]
Thus, the equation of the parallel line will be: [tex]x=-4[/tex]
THERE WERE SOME PEOPLE ON A TRAIN.
19 PEOPLE GOT OFF THE TRAIN AT THE FIRST STOP.
17 PEOPLE GET ON THE TRAIN.
NOW THERE ARE 63 PEOPLE ON THE TRAIN.
HOW MANY PEOPLE WERE ON THE TRAIN TO BEGIN WITH?
There are 61 people to begin with.
hope it helps.
please help me solve this i been on this for almost 3 weeks now
the answer's 41 degrees. If the total sum of the angles in a triangle is 180, and a right angle is 90, and the other angle is 49 degrees. 180-90-49=41, so that's your answer! Hope I helped you.
i believe the answer would be 41 because the triangle is 180 degrees and so you would add the 49 and the 90 degree angle then subtract that from 180, then you get 41.
what is the first quartile of this data set? 10,11,12,15,17,19,22,24,29,33,38
The first quartile is the middle of the first half.
Which would be the number 12 I think
please answer quickly thanks :)
good morning btw.
-4 is to the right of -7 . -4 is located to the left of -1.
is -7 the solution to the equation w/7 +2=-1 explain how you know
w/7 + 2 = 1
Subtract 2 from both sides.
w/7 = -1
Multiply both sides by 7.
w = -7
The value of w is equal to -7
Find the inequality represented by the graph
Answer:
[tex]y\geq \frac{1}{2}x[/tex]
Step-by-step explanation:
To find the inequality represent by the graph, we first must find the linear equation that represents that line.
So, in first place, we find the slope of the line, using two point (0,0) and (2,1):
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }=\frac{1-0}{2-0}=\frac{1}{2}[/tex]
Now, using one point, the slope and the slope-point formula, we find the linear expression
[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{2}(x-0)\\ y=\frac{1}{2}x[/tex]
Then, with the linear expression, we just need to take a test point form the shaded area and evaluate the expression, the point is gonna be (0,1):
[tex]y=\frac{1}{2}x\\1=\frac{1}{2}(0)\\ 1=0[/tex]
We know that 1 is more than zero, this means that the right inequality sign is [tex]\geq[/tex], due to the relation of the numbers, and because line is solid.
Therefore, the inequality is
[tex]y\geq \frac{1}{2}x[/tex]
Jennifer has 84.5 of fabric to make curtains. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many feet of fabric does Jennifer use per curtain.
Answer: 10.8 yards
Step-by-step explanation:
Given: Total fabric Jennifer has = 84.5 yards
Total identical curtains she made = 6
Remaining fabric = 19.7 yards
Thus, fabric used fro 6 curtains = [tex]84.5-19.7=64.8\ yards[/tex]
Now, fabric she use for each curtain = [tex]\frac{64.8}{6}[/tex] yards
Thus, fabric she use for each curtain= 10.8 yards
Hence, Jennifer use 10.8 yards fabric per curtain.
Answer:
10.8 yards
Step-by-step explanation:
84.5 - 19.7 = 64.8
64.8 / 6 = 10.8 yards
Jennifer can use 10.8 yards per curtain.
Error analysis-dividing fractions
Which expression is equal to 4mn^8/28m^5n^3 ?
Answer: [tex]\frac{n^{5}}{7m^{4}}[/tex]
Step-by-step explanation:
1. You have the following expression given in the problem above:
[tex]\frac{4mn^{8}}{28m^{5}n^{3}}[/tex]
2. To find an expression that is equal to the expression shown in the problem, you can simplify it:
- As you can see, 4 and 28 are divisible by 4.
- You need to apply the exponents properties. To divide two powers with the same base, you must subtract the exponents.
3. Keeping this on mind, you have:
[tex]\frac{n^{(8-3)}}{7m^{(5-1)}}=\frac{n^{5}}{7m^{4}}[/tex]
Which sentence represent a hypothesis
23+8b=-4.2 whats the answer
It is safe to assume that we are solving for b.
To answer this is to isolate b.
8b = -27.2
b = -3.4
can someone help with 29, 30, 31, and 32 please!
A series RL circuit contains two resistors and two inductors. The resistors are 27Ω and 47Ω. The inductors have inductive reactances of 50 Ω and 40 Ω. The applied voltage is 120 V. What is the voltage drop on the inductor that has 40 Ω of reactance?
Answer:
voltage drop across 40Ω inductor is 41.2V
Step-by-step explanation:
We are given that a series RL circuit contains two resistors 27Ω, 47Ω and two inductors which have reactances 50Ω,40Ω.
Hence total resistance in the circuit =27+47=74Ω
Total reactance=50+40=90Ω
Since all of these elements are in series, same current goes through all the elements.
And that current I=[tex]\frac{E_{T}} {Z}[/tex]
Given Applied voltage,[tex]E_{T}=120V[/tex]
Hence [tex]I=\frac{120}{\sqrt{74^{2}+90^{2}}} =\frac{120}{\sqrt{13576}} =1.03A[/tex]
Therefore voltage drop on the inductor that has 40Ω of reactance=40X1.03
=41.196≈41.2V
Final answer:
The voltage drop on the inductor in a series RL circuit with a 40 Ω reactance is calculated using the total impedance and Ohm's Law to find the circuit current, which is then multiplied by the inductor's reactance. The calculated voltage drop is 41.2 V.
Explanation:
The student is dealing with an RL circuit and needs to calculate the voltage drop on an inductor with a given reactance in that circuit. In an RL circuit, the total impedance (Z) is found by combining the resistive (R) and inductive reactance (XL) components together, where R is the sum of individual resistances and XL is the sum of individual reactances. Since the components are in series, the total resistance would be R = 27 Ω + 47 Ω = 74 Ω and the total reactance would be
XL = 50 Ω + 40 Ω = 90 Ω.
The total impedance (Z) can be calculated using the Pythagorean theorem for the right triangle formed by R and XL:
= [tex]\sqrt{(74^2 + 90^2)[/tex]
= √(5476 + 8100)
= √(13576) ≈ 116.52 Ω.
With the total impedance known, we can find the current in the circuit (I) using Ohm's Law:
I = V/Z
= 120 V / 116.52 Ω
≈ 1.03 A.
The voltage drop across an individual inductor can be found by ∗ V = I * XL, where XL is the inductive reactance of the inductor in question. Therefore, the voltage drop for the inductor with a 40 Ω reactance is:
V = 1.03 A * 40 Ω
= 41.2 V.
This is the voltage drop on the inductor with a 40 Ω reactance.
I need this to be answered PLEASE!!!
What I did was put 45/60 (45 as the minute and the 60 to make up an hour) into 75/100 which I then put the 2.75( the 2 hours from the time already) and divided 8580/2.75= 3120
PLEASE ANSWER I NEED IT ASAP
Subtract the second expression from the first. (5x^2-3x+5) - (3x^2-4x-7)
1. 2x^2+x+12
2. 2x^7+x+12
3. 8x^2+x+12
4. 2x^2+x-2
Distribute: 11 (-3+5X^2)
1. -55x^2+33
2. 22x
3. 5x^2-33
4. 55x^2-33
[tex](5x^2-3x+5)-(3x^2-4x-7)\\\\=5x^2-3x+5-3x^2+4x+7\\\\=(5x^2-3x^2)+(-3x+4x)+(5+7)\\\\=2x^2+x+12\to1.[/tex]
[tex]11(-3+5x^2)=(11)(-3)+(11)(5x^2)=-33+55x^2=55x^2-33\to4.[/tex]
what is the estimate of 23 times 67
1,541 is the answer
Select the most appropriate unit for the measure of time that the graph represents.
A.
hours
B.
days
C.
weeks
D.
years
i think its A. hours
Answer:
Select the most appropriate unit for the measure of time that the graph represents.
A. hours
B. days
C. weeks
D. years
Step-by-step explanation:
Since it is not a straight line, but a curved one, because it does not have a uniform rectilinear movement, the most appropriate unit of time would be for hours.
The answer is: A. hours.
Which of the following is NOT a characteristic of a plane?
it cannot be seen
it is imaginary
its width can be measured
it is infinite
none of the above
Answer: The width can be measured in not a characteristic of a plane
Step-by-step explanation: Think about it it doesn't make sense becuase it doesn't have measurable width
You are
5
5
feet tall and cast an
8
8
-foot shadow. A lamppost nearby casts a shadow that is
20
20
feet. Which equation can you use to solve for the height
(h)
h
of the lamppost?
The answer would be 12.5 ft
This is because you know that if you cast a shadow of 8 feet and you are 5 feet then a lamp post that is 12.5 feet will have a 20 foot shadow.
To solve for the height of the lamppost, we can use the equation h = (5/8) * 20, derived from the ratio of height to shadow length across similar triangles.
To determine the height of the lamppost using the shadow lengths, we apply the concept of similar triangles. Since the student's height and shadow form a right-angled triangle, and the lamppost and its shadow do as well, the two triangles are similar by the angle-angle similarity postulate. Thus, the ratio of the height to the shadow length is constant for similar triangles created by an object and its shadow under the same lighting conditions.
The relationship for the student can be expressed as student's height / student's shadow length, which is equal to 5 feet / 8 feet. For the lamppost, the relationship can be described as height of lamppost (h) / lamppost's shadow length, which is h / 20 feet. Therefore, the proportion can be set up as:
5/8 = h/20
Multiplying both sides of the proportion by 20 gives us the equation to solve for h, the height of the lamppost:
h = (5/8) * 20
Three fifths of the members of hiking club went on the last hiking trip . If 39 people went on the trip how many are in the club
If 39 is 3/5 of all the people then you can divide it by 3 (=13) and multiply is by 5 (= 65)
Answer: There are 65 people in the club.
Answer: There are 65 people in the club.
State the Domain of the function .
Anywhere there is a point, is part of the domain. So we see a point at x = -2. x = 0, x = 1, x= 2, x = 3, and x = 4.
So the domain would be
{-2, 0, 1, 2, 3, 4}
Answer choice 1.
BRAINLYIST FOR BRAINLYIST
2a - 4b + 6b - 3a =
Please in need to level up
3a + 5b - 6a + 3b =
Simplify. Combine like terms:
In the first question, combine terms with the same variables:
2a - 4b + 6b - 3a = 2a - 3a - 4b + 6b = -a + 2b
-a + 2b is your answer
In the second question, do the same:
3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b
-3a + 8b is your answer
hope this helps
first
-a + 2b is your answer
In the second one you do it the same wayy
3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b
-3a + 8b is your answer
an there is your twoo answers