Answer:
60 seconds.
Step-by-step explanation:
We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.
To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.
Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..
We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.
Solve:
-x/6 + 3 =8
2/7(x) = 10
-10x = -100
Answer:
-x/6 + 3 =8
x = -30
2/7(x) = 10
x = 35
-10x = -100
x = 10
There are 4 white and 8 red roses in a bouquet. Find the ratios.
1b). The ratio of the numbers of red roses to the number of all roses
Answer:
1a) 1:2
1b) 2:3
Step-by-step explanation:
1a) 4:8 = 1:2
1b) 4 white and 8 red means 12 total so ratio for red would be 2:3
Answer:
1 ÷ 22 ÷ 3Step-by-step explanation:
Given4 white and 8 red rosesTo findRatios of rosesSolutionRatio of white roses to red roses
4 ÷ 8 = 1 ÷ 2Ratio of red to all
Sum of roses
4 + 8 = 12Ratio
8 ÷ 12 =2 ÷ 3(pls i need help fast i know nothing about football )The Red team score the following number of points in their last 5 games, 36 points, 30 points, 24 points, 12 points, and 18 points.
What is the mean (average) number of points they scored each game.
a
32 points
b
30 points
c
24 points
d
18 points
Answer:
c
Step-by-step explanation:
You add up all of the points and divide by 5.
Why is it better to use the metric system, rather than the English system, in scientific measurement?
The English system uses one unit for each category of measurement.
The metric system uses one unit for each category of measurement.
The English system uses consistent fractions that are multiples of 10.
The metric system utilizes a variety of number conversions.
Answer:
b
Step-by-step explanation:
It is better to use the metric system, rather than the English system, in scientific measurement because,
The metric system uses one unit for each category of measurement.
What is a metric system?A system of measurements is called the metric system. It is employed in calculations and research across the globe.
Measurements for length include millimeters (mm), decimeters (dm), centimeters (cm), meters (m), and kilometers (km).
A foot equals 30.48 cm, however, a popular 30 cm rule measures every 1 cm, therefore the metric system also provides more exact measurements.
The English system is in fact based on the metric system because they look for reference materials to get the measurements.
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A product 3z squared, increased by 10
Answer:
(3z)^2 +10
Step-by-step explanation:
Identify the sentence that does not belong with the other three. Explain. x+12=12+x, 7h=h.7, 1+a=a+1, (2j)k=2(jk)
Answer:
is 764
Step-by-step explanation:
beacuse it has 764 and i dont konw the rest
In 2011 the population in the United States was 3.1 x 108 . The population in Canada was 3.38 x 107 . Find the total population of these countries. Write your answer in scientific notation.
Answer:
3.348 × 10^2 US
3.6166 × 10^2 CA
Step-by-step explanation:
3.1 x 108= 3.348 × 10^2 US
3.38 x 107= 3.6166 × 10^2 CA
the population of China is about 1.4 x 10 to the power of 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julie's hometown? Please answer this in scientific notation.
Answer:
2 x 10⁵ is the answer I believe.
Answer:
2 x 10^5Step-by-step explanation:
Given
Population of China = 1.4 x 10^9Population of town = 7000 = 7 x 10^3The difference in population
1.4 x 10^9 / 7 x 10^3 = 14 x 10^8 / 7 x 10^3 =2 x 10^5__ = 4
22 8
Anybody know???
Figure ABCDE was reflected across the line y = x to create figure A'B'C'D'E'. What are the coordinates of the pre-image of E'?
Answer:
-2, 6
Step-by-step explanation:
if Figure ABCDE was reflected across the line y = x to create figure A'B'C'D'E' then (6, -2) are the coordinates of the pre-image of E'.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
It's a common type of problem in algebra, specifically the modification of algebraic equations.
ABCDE was reflected across the line y = x to create figure A'B'C'D'E'.
The coordinates of the pre-image of E' are (6, -2)
Hence, coordinates of the pre-image of E' are (6, -2)
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What products are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.
Answer:
Product is defined [tex]{}[/tex]
(ML, MP, NM, PQ, PL, LP, MQ, LQ)
Product is not defined
(LM, PM, MN, QP, QM, NQ, QN, NL, LN, NP, PN, QL)
Step-by-step explanation:
During multiplication of matrices, the number of columns of the first matrix must be equal to the number of rows of the second matrix it is multiplying.
Therefore, we can only multiply a m×n matrix to a n×c matrix as follows;
We can only multiply (m×n)·(n×c) → Product is defined
We can not multiply (n×c)·(m×n) →∞ Product is not defined.
Which number is a multiple of 9?
A:109
B:3
C:27
D:89
Answer:C
Step-by-step explanation:
9 x 3 = 27
When the transformation (x,y) → (x + 10, y + 5) is
performed on point A, its image, point A', is on the origin
What are the coordinates of A? Justify your answer.
Answer:
its 3.05
Step-by-step explanation:
The coordinates of A will be at (-10, -5) when the transformation (x,y) → (x + 10, y + 5) is performed on point A.
Given the coordinate of the resulting image after the transformation is A'(0, 0). We need to get the coordinate of the original image A.
Since the transformation (x,y) → (x + 10, y + 5) is performed on A.
A = (0 - 10, 0 - 5)
If we are going from the pre-image to the image, we will translate to the left and downwards
A = (-10, -5)
Hence the coordinates of A will be at (-10, -5)
Learn more here:
tias age is d years while dias age is (d-6) . in ten years dias age will be two-thirds tias age.find dias present age?
Answer:
Dia's age is 6.
Step-by-step explanation:
Tia's age= d
Dia's age= d-6
Therefore, after 10 years,
Dia's age= 2/3 Tia's age
Hence,
d-6+10=2/3(d+10)
d+4=2/3(d+10)
3/2(d)+4=d+10
3/2(d)-d=10-4
3d/2-2d/2=6
d/2=6
1/2(d)=6
d=6×2
d=12
Therefore,
Dia's age=d-6
=12-6
=6 yrs old
Answer:
6 years old
Step-by-step explanation:
Find the median for the following data set: 11, 13, 17, 11, 10, 15, 11, 12, 13, 15
O 125
O 12
O 13
O 13.5
Answer:
A, 12.5
Putting them in order was this:
10, 11, 11, 11, 12, 13, 13, 15, 15, 17
and the median is between 12 and 13, which is 12.5
(Hope that helps you. ^^)
HELP PLZ RN<3
which graph displays a rate of change of 2.5?
Answer:
The second graph.
Step-by-step explanation:
The first graph has a negative slope, so that can't be the right answer.
The last graph isn't steep enough to show a rate of 2.5.
This leaves us with the middle graph which is correct.
Answer ASAP please ?
Answer:
f(x)= (x+2)²
= x²+4+2x
then f(3) = 3²+4+2*3
= 9+4+6
add up the sum and here's your ans
What integer represents the total charge of 7 electrons?
the integer that represents the total charge of 7 electrons is -1.The total charge of electrons is given by the formula:
total charge = number of electrons x charge of each electron
what are electrons ?
Electrons are subatomic particles that carry a negative electric charge. They are one of the fundamental particles that make up atoms, along with protons and neutrons. Electrons are found in shells or energy levels that surround the atomic nucleus
In the given question,
The total charge of electrons is given by the formula:
total charge = number of electrons x charge of each electron
The charge of an electron is a fundamental constant, which is equal to -1.602 x 10⁻¹⁹ Coulombs. Therefore, the total charge of 7 electrons can be calculated as:
total charge = 7 x (-1.602 x 10⁻¹⁹) C
total charge = -1.1214 x 10⁻¹⁸ C
Note that the charge of an electron is negative because it has an opposite charge to the positively charged protons in an atom. Therefore, the total charge of 7 electrons is also negative. To express this charge as an integer, we need to convert it to scientific notation and round to the nearest whole number. Rounding to the nearest whole number gives:
total charge = -1 x 10⁻¹⁸ C
Therefore, the integer that represents the total charge of 7 electrons is -1.
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Susan made 168 cupcakes and gave some to her 21 students.
She then had 1/2 of her cupcakes left. On average, how many
cupcakes did she give to each of the 21 students?
Answer:
4
Step-by-step explanation:
9(m +5) - 3(m - 2) = 8m + 31
Answer:
m=10
Step-by-step explanation:
Answer:
m=10
Step-by-step explanation:
9(m+5)−3(m−2)=8m+31
Step 1: Simplify both sides of the equation.
9(m+5)−3(m−2)=8m+31
9m+45+−3m+6=8m+31
(9m+−3m)+(45+6)=8m+31(Combine Like Terms)
6m+51=8m+31
Step 2: Subtract 8m from both sides.
6m+51−8m=8m+31−8m
−2m+51=31
Step 3: Subtract 51 from both sides.
−2m+51−51=31−51
−2m=−20
Step 4: Divide both sides by -2.
m=10
Hope this helps girly!!
help me, please cause I'm stuck
Answer:4.03 x 10^4
Step-by-step explanation:
Suppose a basketball player has made 291 out of 389 free throws. If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,
[tex]P(\text{free throw})=\frac{291}{389}=0.7481[/tex]
The probability that he makes the next 2 free throws is:
[tex]P(\text{Next 2 free throws})=(0.7481)^{2}=0.5596[/tex]
The payout rules are:
If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50.Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)
[tex]=($38\times 0.5596)+(-$50\times (1-0.5596))\\=21.2648-22.02\\=-0.7552\\\approx -$0.76[/tex]
Thus, the expected value of the proposition is -$0.76.
Figure A h Figure B What is the scale factor from Figure A to Figure B?
Answer:
figure a?
Step-by-step explanation:
I really don't know the answer to this i would need more information
find the smallest number by which 339 must be multiplied so that the product is a perfect cube. also find the cube root of the perfect cube so obtained
Answer:
The smallest number is 114921 and the cube root of the result is 339
Step-by-step explanation:
The number 339 can be factored as:
339 = 3 * 113
Both factors are prime, thus to produce a perfect cube, we must multiply by each factor to the power of 2, that is:
3^2*113^2=114921
When we multiply 339 by 114921 we get 38958219, a perfect cube which cube root is 339.
Thus, the smallest number is 114921 and the cube root of the result is 339
The Hansons are having a well built in their backyard. On Monday, 175 feet of the well was dug, and another 165 feet was dug on Tuesday. How many feet below ground was the well dug, expressed as an integer The Answer would be 10.35
Answer:
340 feet
Step-by-step explanation:
To get the number of feet, we simply make an addition of the number of feet dug on both days
The total will be 175 feet + 165 feet = 340 feet
7d Ꮞd - 3d = Ꮞ0
Pleasee✌
Answer:
it is 5
Step-by-step explanation:
7d+4d-3d=40
7d+1d=40
8d=40
40/8=x
x=5
if it was addition
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound.
How many pounds, p, will it take for UPS and FedEx to cost the same? What is the cost? Write and solve an equation to show your work.
Answer:19.5
Step-by-step explanation:
7+7=14
14+0.20=14.2
14.2+5=19.2
19.2+0.30=19.5
Your answer is:19.5
Which of the following is a line perpendicular
to y = 3x-7?
Answer:
y=-1/3x-7
Step-by-step explanation:
Change the sign of x and flip the slope. 3/1 equals -1/3.
The Hoffman family has bought one pizza on Friday night every week for the last 10 years.
How many pizzas have they bought on Friday nights?
Answer:
520
Step-by-step explanation:
Rubi works at a party-planing company and makes $7.50 per hour. Her weekly paycheck also inclides a $5 bonus for every party she schedules. Her $265 paycheck last week was for 30 hours. How many parties did she schedule? Explain how you found you're answer.
Answer:
8 parties
Step-by-step explanation:
First, find how much of her paycheck was from working 30 hours:
7.50(30)
= 225
Then, subtract this from 265, to find how much money was from bonuses:
265 - 225
= 40
To find how many parties she scheduled, divide 40 by 5, since each party she schedules gives her a $5 bonus:
40/5
= 8
So, she scheduled 8 parties