Answer:
One train is traveling at 40 mph and the other train is traveling at 50 mph
Step-by-step explanation:
Distance = rate times time
If I add the two rates and times together, I will get the total distance
Train 1
Rate x + 10
Time 3
Train 2
Rate x
Time x
3(x + 10) + 3x = 270 Distribute the 3
3x + 30 + 3x = 270 Combine like terms
6x + 30 = 270 Subtract 30 from both sides of the equation
6x = 240 Divide both sides by 6
x = 40 This is the slower train. Add 10 for the faster train.
8 times the sum of a number and 26 is less than 304.
Answer:
x < 12
Step-by-step explanation:
So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:
8(x+26) < 304
Lets start to solve for x by dividing by 8, giving us:
x+26 < 38
Now lets isolate x by subtracting 26 from both sides, which gives us our answer:
x < 12
So x is less than 12.
Hope this helps!
2) Segundo o censo do IBGE, em 2010, o Brasil tinha 147,4 milhões de pessoas com 10 anos ou mais que eram alfabetizadas, o que correspondia a 91% da população nessa faixa etária. Determine o número de brasileiros com 10 anos ou mais em 2010
*
162 milhões
161,9 milhões
160,9 milhões
160 milhões
Answer: 162 million
Step-by-step explanation:
147.4 million= 147,400,00
Make a proportion:
147,400,000 - 91%
x - 100%
Hence,
[tex]\displaystyle\\x=\frac{147,400,000*100}{91} \\\\x=\frac{14,740,000,000}{91} \\\\x\approx162,000,000\\\\x=162 \ million[/tex]
Tom got 72 marks in 8 tests. How much did he get in each test on average?
Given
Tom got 72 marks in 8 tests.
Answer
[tex] \frac{72}{8} = 9[/tex]
he get 9 mark on average
In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given
The number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.
How to illustrate the information?It should be noted that based on the information illustrated, the marathon had 29967 men and 16,928 Women.
Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be:
29867 = 30000
16982 = 17000
Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.
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In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given to the nearest thousand.
I’ll give points + brainalist
The line which is perpendicular to the given line y = -x/8 + 3 is y - 8x =-2, there slopes are negative reciprocals of each other
How to fine the line that is perpendicular to the given lineGiven data
line y = -x/8 + 3
The equation of a line is represented as y = mx + c where m represents the slope. The unique feature of perpendicular line is that the slopes are negative reciprocals of each other.
Hence we find the line that has same value of m which is the slope
using the second option: y - 8x = -2
y - 8x = 2
y = 8x - 2
y = 8x - 2
the slope here is m = 8 which is equal to the negative reciprocals of the slope in the given equation and hence the correct option
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Explain how to use place-value blocks to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85. Then find the difference.
Place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.
What are place value blocks?It should be noted that base ten blocks are used to represent numbers as a base ten model. It should be noted that they are useful because they show the value of each digit in a number and make it easier to visualize the size of a number.
In this case place value blocks mimic the base ten number system by representing the ones, tens, hundreds, and thousands places
Therefore, place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.
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A helicopter takes off from the roof of a building that is 225 feet above the ground. The altitude of the helicopter increases by 125
Answer: i think you want y=125x+225
Step-by-step explanation:
the linear equation is created by sticking these two numbers into y=mx+b
so we start at 225 feet, which means that goes where b is, and the helicopter goes up 125 per whatever, which means we put 125 where m is
The current plans describe a fountain 9 feet in diameter. Around the sides of the fountain, the contractors will install a chain barrier to prevent children from falling into the fountain. How much area in the park will the designers need to set aside for the fountain? How much chain will the contractors need to install? Round your answers to the nearest hundredth of a square foot or foot. Type the correct answer in the box. Use numerals instead of words.
hundred people bearajsbsj
Answer:
I don't know about this question
When √27 is expressed in simplest a√b form, what is the value
of a?
Answer:
3
[tex]3 \sqrt{3} [/tex]
Step-by-step explanation:
Remember to complete the prime factorization for 27. 27 = 9x3 = 3x3x3. The
[tex] \sqrt{3} \times \sqrt{3} \times \sqrt{3} [/tex]
is
[tex]3 \sqrt{3} [/tex]
A ball is dropped from a state of rest at time t=0.
The distance traveled after t seconds is s(t)=16t2 ft.
(a) How far does the ball travel during the time interval [6,6.5]?
Δs= ___ft
(b) Compute the average velocity over [6,6.5].
ΔsΔt= ___ ft/sec
(c) Compute the average velocity over time intervals [6, 6.01] , [6, 6.001] , [6, 6.0001] , [5.9999, 6] , [5.999, 6] , [5.99, 6] .
Use this to estimate the object's instantaneous velocity at t=6.
V(6)=____ ft/sec
The distance traveled by the ball as a function of time, s(t) = 16•t² ft., and the rate of change, based on calculus, gives;
(a) During the time interval [6, 6.5], the distance traveled is 100 feet
(b) In the interval, [6, 6.5], the average velocity is 200 ft/s
(c) The calculated average velocities in ft/s, for the respective time intervals are;
[6, 6.01]. 192.16
[6, 6.001]. 192.016
[6, 6.0001]. 192.0016
[5.9999, 6]. 191.9984
[5.999, 6]. 191.984
[5.99, 6]. 191.84
The instantaneous velocity at t = 6 is v(6) = 192 ft/s
What are the average and instantaneous velocities of the ball?The distance traveled as a function of time is s(t) = 16•t² ft.
(a) The distance traveled during the time interval [6, 6.5] is found as follows;
s(6) = 16 × 6² = 576
s(6.5) = 16 × 6.5² = 676
The distance traveled in the interval, [6, 6.5], ∆s(t) = 676 - 576 = 100
The distance traveled during the time interval [6, 6.5] = 100 feet
(b) Average velocity = ∆s(t)/∆t
∆t = 6.5 - 6 = 0.5
Therefore;
∆s(t)/∆t = 100/0.5 = 200
The average velocity = 200 ft./s
(c) The average velocities over the given time intervals, obtained using a graphing calculator, are;
Interval. Average velocity
[6, 6.01]. 192.16
[6, 6.001]. 192.016
[6, 6.0001]. 192.0016
[5.9999, 6]. 191.9984
[5.999, 6]. 191.984
[5.99, 6]. 191.84
Given that at t = 6, as the time interval approaches zero from the right and from the left, the average velocity approaches 192 ft./s, the instantaneous velocity at t = 6, v(6) is 192 ft./s
v(6) = 192 ft./s
Using calculus, differentiation, we have;
v(t) = ds/dt = 2×16 × t = 32•t
v(6) = 32 × 6 = 192
Therefore;
v(6) = 192 ft./s
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Is 7x+y+3=y a linear equation
Answer:
7x+y=3 is not a linear equation.
In each of the following, tell what computation must be done last.
a. 5×6-3x4 +2
b. 19-3x4+9÷3
c. 15-6÷2x4
d. 5+(8-2)3
Triangle CDE, with vertices C(-4,2), D(-3,7), and E(-7,6), is drawn inside a rectangle,
as shown below.what is the area in square units of triangle CDE?
Area of triangle ΔCDE with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ) is 9.5 square units.
We have a triangle ΔCDE with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ). To calculate the area of triangle when its vertices are given we have the formula as shown below,
Area of triangle ΔCDE = [tex](1/2)(x_{1} (y_{2} - y_{3} ) + x_{2} (y_{3} -y_{1} ) + x_{3} (y_{1} -y_{2} ))[/tex]
Here, [tex]x_{1}[/tex] = -4 , [tex]x_{2}[/tex] = -3 ,[tex]x_{3}[/tex] = -7 , [tex]y_{1}[/tex] = 2 , [tex]y_{2}[/tex] = 7 and [tex]y_{3}[/tex] = 6
On substituting the above values in the formula of area of triangle , we will get
Area of triangle ΔCDE = (1/2)( -4 ( 7 - 6 ) + ( -3 ) ( 6 - 2) + (-7 ) ( 2 - 7 ))
Area of triangle ΔCDE = (1/2) ( - 4 - 12 + 35 )
Area of triangle ΔCDE = 19/2
Area of triangle ΔCDE = 9.5 square units
Area of triangle ΔCDE with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ) is 9.5 square units.
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At what rate of interest would a sum of money becomes one and half in 10 year ?
Let the Principle be 100.
P = 100, then A = 200 and SI will be 200 - 100 = 100
YES = 100 in 10 years
Rate = 100/10 = 10%.
∴ The interest rate is 10%.
The traditional method is:Given:
Time period = 10 years
Formula used:
SI = (P × R × T)/100
A = P + SI
Where P = main amount, R = rate, T = time, SI = primary interest
Calculations:
Monetary amount 2P
YES = 2P - P
⇒ P = (P × R × 10)/100
⇒ 1 = R/10
⇒ R = 10%
∴ The interest rate is 10%
Arithmetic Mean of 128,144,146,143,136,142,138,120,140,152,144,140,150,142,154
Answer: 141.26666666667
Step-by-step explanation:
does anyone know how to do this
Answer:
Step-by-step explanation:
add 99 and 36 together to get 135 degrees
Answer:
135°
Step-by-step explanation:
You add the two angles together.
How many multiples of 4 lies between 10 and 20
Answer:
there are 2 multiples of 4 like 12 and 16
Step-by-step explanation:
The multiples of 4 are - 4,8,12,16,20,24
What is the image of (-4,-2) after a reflection over the x-axis?
According to the image the x-axis, there is a reflection (- 4, 2 ).
How can a coordinate be found to mirror itself?An image that has been flipped has no points that are closer to the mirror line than the original shape. The point's coordinate must be multiplied by -1 in order to reflect it over the axis. Simply add -1 to the coordinate of the point to reflect it over the axis.
What does the term coordinate geometry refer to?Analytic geometry, often known as coordinate geometry, is the study of geometry using coordinate points. It is possible to determine distances between points using coordinate geometry, as well as divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations.
According to the given data:Under the x-axis reflection.
A point (x, y) → (x, -y), so
(- 4, - 2 ) → (- 4, 2 )
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PLEASE HELP As soon a possible
Find the coordinates of the point
7/10 of the way from A to B.
The coordinates of the point 7/10 of the way from A to B is (2.4, 4.2)
How to find the coordinates of the point 7/10 of the way from A to B?On the coordinate plane, we have the following coordinates
A = (-3, -8)
B = (11, 6)
The point 7/10 can be represented using the following ratio
m : n = 7 : 3
The coordinates of the point 7/10 of the way from A to B is calculated as
Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)
This gives
Point = 1/(7 + 3) * (3 * 11 + 3 * -3, 11 * 6 + 3 * -8)
Evaluate
Point = 1/10 * (24, 42)
This gives
Point = (2.4, 4.2)
Hence, the coordinates of the point 7/10 of the way from A to B is (2.4, 4.2)
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PLEASE HELP! DUE IN LESS THAN 2 HOURS! IM STUCK! PLEASE HELP ME! THANKS QUESTION DOWN BELOW!!! PLEASE SHOW THE WORK! DETERMINE THE NUMBER OF LINE SEGMENTS IN THE 100TH PATTERN!
Answer:
Step-by-step explanation:
So we are not counting each line segment forming a cube. We are actually counting the four sides of the overall shape, and the number of segments inside it.
It will increase by 2 each time.
So if we start at 4(the four outside lines), go to 6(adding 2 on the inside), then to 8(adding 2 more on the inside), we continue this 100 times, correct?
So our equation would be
(x times 2) +4 (if we start at the SECOND term and count that as the first )
so, to figure out the answer to out problem, we insert 100 for x
(100 x 2)+4 = 204
This would leave us with one big square (4 outside line segments) With 100 segments going horizontal, and 100 vertical)
Hope this helps! ^^
Draw the Venn diagram showing the inclusion relation among the different Sets of numbers.
Answewhats the number mason
Step-by-step explanation:
Clark made 4 of his truck
5
late payments and was fined
4 late fees. The total change to
his savings from late fees was
-$48.32. How much was one late
fee?
Answer:
12.00
Step-by-step explanation:
you need to get the division down first then it will become super easy once you have that
Debra bought 4 hammers and 6 tape measures for $94. Heather bought 5 hammers and 3 tape measures for $77 . Letting x represent the price of each hammer and y represent the price of each tape measurewrite a cost equation for both Debra and Heather
The cost equation for Debra is given by 4x + 6y = 94 and for Heather is 5x + 3y = 77.
What are Linear equations in two variables?Linear equations in two variable have one, none, or infinitely many solutions, with the highest exponent order of 1 in each of the two variables. The standard form of a two-variable linear equation is ax + by + c = 0, where x and y are variables. Solutions can also be written in pairs, for example (x, y). A two-variable linear equation system is represented graphically by two straight lines that can intersect, parallelize, or coincide.
According to the given condition, we have 2 equations:
4x + 6y = 94
5x + 3y = 77
Now, multiply by 2 on both sides of the equation 5x + 3y = 77 to obtain:
10x + 6y = 154
Now, subtracting the equation 10x + 6y = 154 and 4x + 6y = 94.
[10x + 6y = 154] - [ 4x + 6y = 94]
6x + 0y = 60
x = 10
Putting the value of x = 10 in equation 4x + 6y = 94, we get
y = 9
So, the cost of 1 hammer is 10$ and tape is 9$.
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Results of 2017 survey of sample of executives from 155 banks reveal insights on banking priorities among bank institutions in certain region As bank institutions begin planning new year of utmost importance is boosting profitability and identifying growth areas Fifty-two percent of bank institutions note mobile app experience initiatives as an area in which spending expected t0 increase_ Implementing mobile app relationship management (MARM) solution was ranked as the top most important omnichannel strategy to pursue with thirty-six percent of institutions citing mobile app banking enhancements as the greatest anticipated strategy to enhance the customer experience. Complete parts (a) through (d) What Is the population of interest? the 155 bank executives in the region all bank institutions in the region that are Implementing mobile app relatonship management solution all bank execulives representing bank institutions all bank institutions 0 E all bank customers in the region that use mobile app banking b. Whal is the sample (hat was collected? the 56 bank institutions the region that cite mobile app banking enhancements as the greatest anticipated strategy the 81 bank institutions in the region that note mobile app experience initiatives as an area in which spending expected t0 increase the 56 bank institutions the region all bank executives the 155 executives representing bank institutions What E possible parameter of interest? proportion of bank executives representing bank institutions that cite mobile app banking enhancements as the greatest anticipated strategy the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy the proportion of bank executives in Ihe region who were sampled the proportion of bank institutions in the region that have mobile app banking What the statistic used to estimate the parameter found in (c)? Select the correct choice below and fill in the answer box (0 complete your choice (Type an integer Or decimal: Do not round ) % of all bank institutions the study use mobile app banking % of bank executives representing bank institutions earn more than S500,000 per year % of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy %0 of all bank executives were sampled in the study
Using sampling concepts, it is found that:
a) The population of interest is all bank institutions in the region that are Implementing mobile app relationship management solution.
b) The sample is given by the 155 executives representing bank institutions.
c) The possible parameter of interest is the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy.
d) The statistic used to estimate the parameter is: 36% of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy.
What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.Hence, for this problem:
a) The population of interest is all bank institutions in the region that are Implementing mobile app relationship management solution.
b) The sample is given by the 155 executives representing bank institutions.
Parameter and Statistic:If the information is taken from a sample, it is called a statistic.If the information is taken from a population, it is called a parameter.Hence:
c) The possible parameter of interest is the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy.
From the sample, the percentage is of 36%, hence:
d) The statistic used to estimate the parameter is: 36% of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy.
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What is the value of −5 + |−18|?
13
23
−13
−23
Answer:
your answr would be a 13
Step-by-step explanation:
Answer:
A) 13
Step-by-step explanation:
[tex]-5 + |-18|\\where\:|-a|=|a|\:\:\mathrm{if}\:a\neq 0\\|-18| = |18|\\= -5 + 18\\Inverse\:\:the\:\:expression\\= 18 - 5\\= 13[/tex]
Are the raitos 10:16 and 5:8 equivalent
Answer:
Yes, they are equivalent, because one is just a reduced version of the other. Since they are equally balanced when reduced, they are equivalent ratios.
Answer:
Yes, It is equivalent.
Step-by-step explanation:
To convert [tex]\frac{10}{16}[/tex] , so the denominator is 16, multiply the numerator and denominator by 1.
[tex]\frac{5*2}{8*2}[/tex] vs [tex]\frac{10*1}{16*1}[/tex]
Now we have two fractions with the same denominator, so we can easily compare the numerators to determine if they are equal;
[tex]\frac{10}{16}[/tex] vs [tex]\frac{10}{16}[/tex]
As you can see, the numerators colored in black above are the same. Therefore, the answer to "Is 5/8 equal to 10/16?" is yes!
[tex]\frac{5}{8} = \frac{10}{16}[/tex]
A shirt normally costs $22.50 and is on sale for 12% off. What is the sale price?
Answer:
$19.8($2.7 subtracted off)
Step-by-step explanation:
[tex]P = 22.5(1 - 12\%)\\P = 22.5(1 - 0.12)\\P = 22.5(0.88)\\P = 19.8[/tex]
A person has a bag containing quarters and dimes. There are a total of 51 coins in the bag, and the total value of the coins is $11.10.
Answer:
you would need 40 quarters and 11 nickels
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
.25x40=$10
.10x11=$1.10
$10+$1.10=$11.10
Sasha did an experiment to study the solubility of two substances. She poured 100 mL of water at 20 °C into each of two beakers labeled A and B. She put 50 g of Substance A in the beaker labeled A and 50 g of Substance B in the beaker labeled B. The solution in both beakers was stirred for 1 minute. The amount of substance left undissolved in the beakers was weighed. The experiment was repeated for different temperatures of water and the observations were recorded as shown. Experimental Observations Substance Mass of Undissolved Substance at Different Temperatures (gram) 20 °C 40 °C 60 °C 80 °C A 12 11 9 8 B 45 40 34 31 Part 1: Which substance has a higher solubility? Part 2: Explain your answer for Part 1.
In the experiment, the solubility of B is high than the solubility of A.
This is because the mass of undissolved substance of substance A is more than Substance B at every temperature.
What is solubility?The amount of a substance that dissolves in a specific amount of solvent is known as its solubility. Higher solubility results from more solute dissolution, while lower solubility results from less solute dissolution.
Regarding the observations made, at any temperature, the mass of the undissolved material of substance A is greater than that of substance B. This suggests that less solute dissolves in the amount of solvent provided.
Therefore, because of this, substance B is more soluble than substance A.
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7x-5y= 0
49x+30y= 13
Answer:
what should we find the value of y and x or what