Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.
Answer:
60 minutes
Step-by-step explanation:
Given the schedule above :
Red line arrives every 4 minutes
Blue line arrives every 5 minutes
Yellow line arrives every 6 minutes
All three just arrives at the train station ; when next will they all arrive at the train station at the same time.
Obtain the lowest common multiple of each arrov time :
Lowest common multiple of 4, 5, 6
_2___4___5___6
_2___2___5___3
_3___1___ 5 __ 3
_5___1___ 5 __ 1
_____1 ___1 ___1
Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60
Hemce, they all arrive at the train station at the same time after 60 minutes
−8x+9y=-21 -3x+9y=−36
Answer:
x=-3 y=-5
Step-by-step explanation:
big brain
Suppose the size of each cube is doubled and the size of the large box is doubled. How many of these new cubes would fit? Explain how you found your answer.
Help plss will give brainliest
Answer:
f(3) = 4(3)-2 = 12-2 = 10
Step-by-step explanation:
By comparing f(3) and f(x), you can see that it is basically replacing the x in the equation with the value of 3.
help me. I'm not very good at math
determine whether the given is a rational equation, rational inequality,rational, function
y = × + 3
I will mark if anyone answer these
wrong or no respect will be report
Can someone tell me them least to greatest please!!!!!
Answer:
11/3 , 17 , 20 hope this helps
estimate 29.14 divided by 3.2071
Answer:
9.05 is my estimate
Step-by-step explanation:
The actual answer should be 9.08 etc....cause its a repeating decimal.
SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)
Answer:
5 sales is the answer now give brainliest
Answer:
He would have to make 5 sales.
Step-by-step explanation:
To write this as an inequality, you would write it as 20 + 6(x).
Help me out please I'll give brain list
Answer:
b
Step-by-step explanation:
hope this helps
Action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection?
Answer:
64 DVDs
Step-by-step explanation:
25% = 16 DVDs
25%x 4 = 16x 4
100% = 64 DVDs
If action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64
First step is to convert the decimal to fraction
16÷24÷100
Second step is to reduce the fraction
16÷1÷4
Third step is to divide the fraction by multiplying its reciprocal in order to determine how many DVDs does Sara have in her collection
16×4
=64
Inconclusion if action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64
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Gabe earns $10 per hour working for a landscaping business. He earned a raise to $10.75 per hour.
What is the percent increase of Gabe’s wages? If necessary, round your answer to the nearest tenth of a percent.
There are 28 roses and 35 carnations. Anna is making flower arrangements using both flowers, what is the maximum number of arrangements she could make?
Answer:
The maximum amount of flower arrangements she can make are 28.
Step-by-step explanation:
There are enough roses and carnations to make 28 flower arrangements. There will still be leftover carnations but that's fine.
You do this by finding the smaller number of flowers and grouping them with the other flower so it makes a group of two. If the other flower had 2x the amount of the smaller flower, them group them in a group of 3; 1 : 2
But this is only used to make the maximum amount. this is not the efficient way to go but this is the way to go if you are finding the max amount.
1/2 (4x+3) < 1/2 (2x+6)
Answer:
x< 3/2 hope this helps <3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
Step 2: Subtract x from both sides.
Step 3: Subtract 3/2 from both sides.
Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B. 1. 4 inches by 2.5 inches 2. 15 inches by 10 inches 3. 24 inches by 15 inches 4. 9 inches by 6 inches
Answer:
C. 24 inches by 15 inches
Step-by-step explanation:
Given
[tex]Rectangle: 8\ by\ 5\ inches[/tex]
Required
Determine the scale copies
To do this, we calculate the ratio.
[tex]Ratio = \frac{Actual}{Measured}[/tex]
Analyzing A.
Sides: 1.4 by 2.5 inches
We start by calculating ratio of each sides;
Length:
[tex]Ratio =\frac{8}{1.4}[/tex]
[tex]Ratio = \frac{40}{7}[/tex]
Width:
[tex]Ratio = \frac{5}{2.5}[/tex]
[tex]Ratio = 2[/tex]
Analyzing B.
Sides: 15 inches by 10 inches
Length
[tex]Ratio = \frac{8}{15}[/tex]
Width:
[tex]Ratio = \frac{5}{10}[/tex]
[tex]Ratio = \frac{1}{2}[/tex]
Both ratios are not equal
Analyzing C.
24 inches by 15 inches
Length
[tex]Ratio = \frac{8}{24}[/tex]
[tex]Ratio = \frac{1}{3}[/tex]
Width:
[tex]Ratio = \frac{5}{15}[/tex]
[tex]Ratio = \frac{1}{3}[/tex]
Both ratios are equal
Analyzing D.
Sides: 9 inches by 6 inches
Length
[tex]Ratio = \frac{8}{9}[/tex]
Width
[tex]Ratio = \frac{5}{6}[/tex]
Both ratios are not equal
Option C answers the question because both ratio are equal
Use PEMDAS to solve the following Order of Operations problem. 4 x 7-6^2÷ 3 = _______
Answer:
16
Step-by-step explanation:
4 x 7 - 6 x 6/3
4 x 7 - 36 / 3
28 - 36 / 3
28 - 12
16
7. Robert poys for his family to go bowling. He pays an initial fee
to rent shoes for everyone and then pays a certain amount
per game that his family plays as shown in the graph
How much did Robert pay to rent shoes for
everyone
Total Cost
What was the cost per game at the
bowling alley?
c. Write an equation to represent the situation
Number of Gomes
Answer:
a)Robert pay $12 to rent shoes for everyone
b)Cost of each game is 4.5
c)y = 4.5x+12
Step-by-step explanation:
Refer the attached graph
a)How much did Robert pay to rent shoes for everyone ?
y - intercept will give the rent shoes for everyone
y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.
So, from the graph we can see that at x = 0 , y = 12
So, from the graph we can see that the no. of games is 0 . So, Total cost is 12
Thus Robert pay $12 to rent shoes for everyone
b)What was the cost per game at the bowling alley?
So, we are supposed to find the slope
Two pints from graph :
[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]
So, Cost of each game is 4.5
c)Write an equation to represent the situation Number of Gomes
General equation : y = mx+c
So, y = 4.5x+12
What is the length of the graphed line segment
Answer:
acc. to me it should be
[tex] \sqrt{50} [/tex]
A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The space between T and R is labeled 4 x + 1.
Which expression represents the measure of segment RS?
7x – 3
7x + 5
x + 5
x – 3
Answer:
x+5
Step-by-step explanation:
Answer:
which expression represents the measure of segment RS? x + 5
Step-by-step explanation:
on engenuity
How to calculate tan sin cos on calculator ?
Step-by-step explanation:
Put in sin, tan or cos and put the number next to it and press equal to
4x - 8 = 12
4x - 8 + 8 = 12 + 8
4x = 20
4/4x = 20/20
x=
Answer:
x=5
Step-by-step explanation:
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.
Hope this helps!
The solution is: The value of x is: x=5
Here, we have,
given that,
the expression is: 4x - 8 = 12
we get,
4x - 8 = 12
or, 4x - 8 + 8 = 12 + 8
or, 4x = 20
now, we have,
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.
i.e. 4x/4 = 20/4
or, x = 5
Also, if replace x with 5 within any of the equations it works.
Hence, The solution is: The value of x is: x=5
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what is 12 to the 16 power/ 12 to the 4 power ill give brainliest
Answer:
12^16= 184884258895036400
12^4= 20736
-15b - 20
factorise fully
!!!
Answer:
-5 (3b+4)
Step-by-step explanation:
-15b - 20
-5 (3b+4)
If a zombie sleep for 96436 year but woke up 329 years ago how long did really sleep?
Answer:
96436-329 = 96107
Step-by-step explanation:
20 pounds of pet food for
$14.99
Find the unit rate?
Answer:
$0.75 per pound
Step-by-step explanation:
To find the unit rate, divide the price by the amount you have.
14.99/20 = 0.7495
A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.
Answer:
The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.
Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.
You can see the image below, where i did a rough sketch of the problem.
in the image, you can see that the sides of this rectangle are the ones formed by the pairs:
(-4,3) and (-2, 8)
(-2, 8) and (2, 5)
(2,5 ) and (1, -7)
(1, - 7) and (-4, 3)
Now let's calculate the length of each side.
Remember that when we have two points (a, b) and (c, d) the distance is:
D = √( (a - c)^2 + (b - d)^2)
Now we need to calculate four distances:
(-4,3) and (-2, 8)
D1 = √( (-4 + 2)^2 + (3 - 8)^2) = 5.39
(-2, 8) and (2, 5)
D2 = √( (-2 - 2)^2 + (8 - 5)^2) = 5
(2,5 ) and (1, -7)
D3 = √( (2 - 1)^2 + (5 + 7)^2) = 12.04
(1, - 7) and (-4, 3)
D4 = √( (1 +4)^2 + (-7 -3)^2) = 11.18
Now we add those four distances to get the perimeter:
P = 5.39 + 5 + 12.04 + 11.18 = 33.61
And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:
p = 37
I don’t understand can u please get help
Answer:
If one angel is 74 so the solution is
[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]
Step-by-step explanation:
Please mark as brainliest
value of 3b^2 - 5c^3 if b = 2 and c = -1
Answer:
17
Step-by-step explanation:
3(2)^2 - 5(-1)^3
3(4) - 5(-1)
12 + 5
17
Employees at a medical supply company are mixing saline solution for use in IVs. They start with 50 liters of 12% solution. To this, they plan to add 10% solution. How many liters of the 10% solution should they add in order to obtain a finished product that is 11% saline?
Answer:
50 liters of the 10% solution should be added
Step-by-step explanation:
Here, we want to calculate the number of liters of the 10% solution that should be added
Let the number of 10% solution to be added be x liters
So total liters is now x + 50
Thus;
50 liters of 12% + x liters of 10% = (x + 50) liters of 11 %
Hence
12/100 * 50 + 10/100 * x = 11/100 * (x + 50)
0.12(50) + 0.1(x) = 0.11(x + 50)
6 + 0.1x = 0.11x + 5.5
6 - 5.5 = 0.11x - 0.1x
0.5 = 0.01x
x = 0.5/0.01
x = 50
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .
*See attachment for the given diagram.
Answer:
∆ABC and ∆FDE are congruent by the SSS criterion.
The value of x is 11 and the value of y is 8
Step-by-step explanation:
Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.
Thus:
AB ≅ DF
BC ≅ DE
CA ≅ FE
Find x:
Since BC ≅ DE, therefore measure of BC = measure of DE.
BC = x + 3
DE = 14
Thus,
x + 3 = 14
Subtract 3 from each side
x = 14 - 3
x = 11
Find y:
Since AB ≅ DF, therefore the measure of both sides are equal.
AB = 3
DF = x - y
Thus,
x - y = 3
Substitute x = 11 into the equation
11 - y = 3
Subtract 11 from both sides
-y = 3 - 11
-y = -8
Divide both sides by -1
y = -8/-1
y = 8
Answer:
Below
Step-by-step explanation:
got it right
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.