how long does it take a bus to travel 105 kilometers if its speed is 70 kilometers per hour
Answer:
1.5 hour
Step-by-step explanation:
since 1 hour =70km . Then x hour =105 ÷70=1.5 hour
Aftor and increased of 10% a Clercks
Salary was $13,250. Calcolate her salary
if an increase of 15% was given instead
Answer: $13,713.75
Step-by-step explanation: 10% of $13,250 = $1,325 (the raise given)
$13,250 - $1,325 = $11,925 (original salary)
15% of $11,925 = $1,788.75
$11,925 + $1,788.75 = $13,713.75
Of a company’s 110 employees. 70 work full time and 60 are married. Half of the full time workers are married. b. What is the probability that an employee works full-time or is married?P(full-time) OR (Married) - P(full-time and married)c. What is the probability than an employee works full-time or is not married?P(full-time) OR P(Not Married) - P(full-time and not married)
nswer:
Explanation:
) We want to start by drawoing a Venn diagram
We call the set of the married people M and the set of the full-time workers F
We have the Venn diagram represented as follows:
b) We want to get the probability that an employee works full time and is married
We have that as:
P(full-time) OR P(married) -P(Full time and married)
P(full time) = 70/110
P(married) = 60/110
P(full time and married) = 35/110 (since half of the full-time workers are married)
Thus, we have:
:
[tex]\frac{70}{110}+\text{ }\frac{60}{110}-\frac{35}{110}\text{ = }\frac{95}{110}[/tex]c) The probability that an employee works full time or is not married
Mathematically, we have that as:
P(full time) OR P(not married) -P(full time and not married)
P(not married) = 1 - P(married)
:
[tex]\begin{gathered} \frac{70}{110}+(1-\frac{60}{110})\text{ - }\frac{35}{110} \\ \\ \frac{70}{110}+\frac{50}{110}-\frac{35}{110}\text{ = }\frac{70+50-35}{110}\text{ = }\frac{85}{110} \end{gathered}[/tex]A group of hikers tracked how long it took to hike a 10-mile trail. They hiked 2.5 miles in 2 hours, 7.5 miles in 6 hours, and 8.75 miles in 7 hours.
Determine if the relationship between the hikers' distance and time is proportional.
Yes, it is proportional because the ratios for miles per hour are all equivalent to 0.8 miles per hour.
Yes, it is proportional because the ratios for miles per hour are all equivalent to 1.25 miles per hour.
No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 8.75 miles in 7 hours.
No, it is not proportional because 2.5 miles in 2 hours is not equivalent to 7.5 miles in 6 hours.
Option (B) Yes, it is proportional because the ratios for miles per hour are all equivalent to 1.25 miles per hour is correct.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that:
A group of hikers tracked how long it took to hike a 10-mile trail. They hiked 2.5 miles in 2 hours, 7.5 miles in 6 hours, and 8.75 miles in 7 hours.
From the data given:
Ratio = distance/time
2.5 / 2 = 1.25 miles per hour
7.5 / 6 = 1.25 miles per hour
8.75 / 7 = 1.25 miles per hour
Thus, option (B) Yes, it is proportional because the ratios for miles per hour are all equivalent to 1.25 miles per hour is correct.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ1
Help with geometry!!!
Answer: HL
Step-by-step explanation: the diagram compares the two sides, or legs, and the hypotenuse.
find the missing side length, and round to the nearest tenth if necessary.
Answer:
3.2
Step-by-step explanation:
→ State Pythagoras theorem
x² + y² = z²
→ Substitute in
3² + 1²
→ Simplify
10 = z²
→ Evaluate
√10 = 3.2
Answer:
3.2
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
a = 3
b = 1
[tex]3^{2}[/tex] + [tex]1^{2}[/tex] = 9 + 1 = 10
[tex]c^{2}[/tex] = 10
c = [tex]\sqrt{10}[/tex]
c = 3.16227766017
Round to the nearest tenth
c = 3.2
9. 5 apples and 3 pears costs 8p more than 3 apples and 5 pears. How much more expensive is an
apple than a pear?
A: 1p
E: 5p
B: 2p
F: 6p
C: 3p
G: 7p
D: 4p
H: 8p
The amount by which an apple is more expensive than a pear is; D: 4p
How to solve Algebra Word Problems?
We are told that 5 apples and 3 pears costs 8p more than 3 apples and 5 pears.
Let the cost of apples be x and let the cost of pears be y. Thus, the equation that represents the sentence is;
5x + 3y = 3x + 5y + 8
Rearrange to get;
5x - 3x + 3y - 5y = 8
2x - 2y = 8
divide both sides by 2 to get;
x - y = 4
Thus;
x = 4 + y
Which means it costs 4p more
Read more about Algebra Word Problems at; https://brainly.com/question/13818690
#SPJ1
n + n+1 = 2n+1 = 2n+2-1 = 2(n+1) -1
2 = factor so must be even.
even number -1 is always odd
The value of n is 1/2 and it is not an even number or odd number
How to determine the solution to the equation?From the question, the steps are given as
n + n + 1 = 2n + 1
n + n + 1 = 2n+2-1
n + n + 1 = 2(n+1) -1
Also, from the question, we have the result of the expression to be
2
This means that
n + n + 1 = 2
Substitute n + n + 1 = 2(n+1) -1 in the equation n + n + 1 = 2
So, we have
2(n + 1) - 1 = 2
Add 1 to all sides of the equation
So, we have
2(n + 1) = 3
Divide both sides of the equation by 2
So, we have
n + 1 = 3/2
Subtract 1 from all sides
n = 1/2
The above implies that the number n is neither an even number, nor an odd number
This is so because the result is a fraction
Read more about expressions at
https://brainly.com/question/13818690
#SPJ1
Please help me. Yall are so smart
The product of negative four and a number is at most
negative sixty-two. Choose al possible values of the number.
The possible values of the number will be -62/4 or -31/2.
Multiplication of numbers may be defined as the tool or arithmetic operation which can be used to increase the count of a number. For example, if there is a number 4, then in order to increase the number it will be multiplied with some other number like 9. Now, the number will be 4×9 = 36. We are given that the product of -4 with a number gives the answer as 62. Let us assume the number as x and form the equation in accordance with the data given in the question.
-4×(x) = 62
Now, to find x we divide -4 on both the sides and we get
x = -62/4
This number can also be simplified by dividing both numerator and denominator with 2 and we get
x = -31/2.
Learn more about Multiplication at:
brainly.com/question/1135170
#SPJ1
on a recent diet nina lost 43lb more than leila. their total weight loss was 95 lbs. how many pounds did nina lose
L = lbs lost by Leila
N = lbs lost by Nina
since we know that Leila lost "L" lbs and Nina lost 43lbs more than that, so Nina lost then "L + 43", and we also know their total weight was 95lbs hmmmm so
[tex]\stackrel{Leila's}{L}~~ + ~~\stackrel{Nina's}{(L+43)}~~ = ~~\stackrel{total}{95}\implies 2L+43=95\implies 2L=52 \\\\\\ L=\cfrac{52}{2}\implies L=26\hspace{15em}\underset{Nina~lost}{\stackrel{26~~ + ~~43}{\text{\LARGE 69}~lbs}}[/tex]
Write an equation of the line that has a slope of -3 and passes through the point (5, -1) 5
The equation of the line that has a slope of -3 and passes through the point (5, -1) is 3x + y = 14.
What is slope ?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
We know the slope point form,
y - y1 = m( x - x1 )
Where x1 and y1 atre the coordinates of the points and m is the slope.
Putting thew values from the question:
y - (-1) = -3 ( x - 5)
=> y + 1 = -3x + 15
=> 3x + y = 14
To learn more about slope point form click on the link below:
https://brainly.com/question/24907633
#SPJ9
write 6400kg in grams giving your answer in standard form
Answer: 6400kg=6.4*10⁶ g
Step-by-step explanation:
6400 kg=
6.4*10³ kg=
6.4*10³*10³ g=
6.4*10³⁺³ g=
6,4*10⁶ g
Answer - 6.4 × 10^6
Step by step Explaination-
6400 kg=
6.4*10³ kg=
6.4*10³*10³ g=
6.4*10³⁺³ g=
6,4*10⁶ g
Firstly, we'll discuss the units of digits -
1. We'll convert 6400 kilograms into grams. Multiply the value in kilograms by the factor '1000'.
2. Standard form may be a means of writing variety thus it's easier to browse. it's typically used for terribly large or small numbers.
For more information on standard type refer the link below -
https://brainly.com/question/19169731
PLS HELP I'LL GIVE BRAINIEST TO WHOEVER ANSWERS ALL AND IS CORRECT
What is the justification for each step in the solution of the equation?
54+2x=5x−3(2+6x)
Select from the drop-down menus to correctly justify each step.
1)54+2x=5x−6−18x
a. addition to property of equality
b.distributive property
c.multiplication property of equality
2)60=−15x
a. addition to property of equality
b.division property of equality
c.multiplication property of equality
3)−4=x
a. addition to property of equality
b.division property of equality
c.subtraction property of equality
Answer:
1) 54+2x=5x−6−18x Distributive Property
2) 60=−15x Division Property of Equality
3) −4=x Division Property of Equality
Explanation:
1.) This answer is Distributive Property because the parenthesis in the original equation were removed through the process of distributing.
3(–2 – 6x) was distributed by multiplying 3 • –2 and 3 • –6x to get –6 – 18x
2.) This answer is Division Property of Equality because for all real numbers x, y, and z, if x = y and z ≠ 0, then x/z = y/z. This is true in this equation because of 60/–15 = −15x/–15.
3.) Division is used to get the value of x, which is –4.
Hope that helps! Have an amazing rest of your day! Please consider giving me the Brainliest! :)
I really also need help on this too!
NO. Your friend is incorrect because the solution to the system of equations on the graph is: (4, 3).
How to Determine the Solution to a System of Linear Equations?The solution to a system of linear equations is the coordinates of the point where the two lines of the linear equations intersect.
The x-coordinate and the y-coordinate of this point lie on each of the lines of the linear equations. This means that, both values of x and y are a solution to each of the linear equation given.
Therefore, the solution to a system of linear equations is usually represented as (x, y) and not just as a single value of x.
The system of linear equations that is graphed above shows that both lines intersect at (4, 3), that is, when x = 4, the value of y = 3.
However, your friend only stated the value of x = 4, as the solution to the system of linear equations that is represented on the graph.
Therefore, your friend is wrong.
Learn more about system of equations on:
https://brainly.com/question/13729904
#SPJ1
A cave explorer is at an elevation of −32 feet. The explorer starts moving at a rate of −6 feet per minute. Write and solve an inequality that represents how long it will take, $t$ (in minutes), the explorer to reach an elevation deeper than −140 feet.
If a cave explorer is at an elevation of −32 feet and the explorer starts moving at a rate of −6 feet per minute. it will take, 9 in minutes for the explorer to reach an elevation deeper than −140 feet.
TimeElevation of feet = −32 feet.
Feet per minute = −6 feet per minute
Elevation deeper than feet = −140 feet
Let x represent the time for reach the desired height
Inequality
-32 - 6x = ≤ -140
Substract 32 from both side
12x ≤ 140 -32
12x ≤ 108
Divide both side by 12x
x ≤ 108/12
x ≤ 9
Therefore we can conclude that the explorer will have to use 9 minutes to get to the elevation.
Learn more about time here: https://brainly.com/question/2854969
#SPJ1
ahmed has AED 180 . He gives his brother 0.7 with bar notation of what he has , how much money did ahmed give his brother ??
The amount of money that Ahmed gave to his brother is AED 140.
It is given in the question that Ahmed has AED 180. He gives his brother 0.7 with bar notation of the amount he has.
We have to find the amount given by Ahmed to his brother.
Here, we have to convert a non-terminating but recurring rational number into fraction form.
Let 0.7 bar = x
Multiplying the equation by 10, we get
7.7 bar = 10x
10x - x = 7.7 bar - 0.7 bar
9x = 7
x = 7/9
Hence, Ahmed gave 7/9 of the amount he had to his brother.
Hence, we can write,
Amount given to Ahmed's brother by Ahmed = (7/9)*180 = AED 140.
To learn more about rational number, here:-
https://brainly.com/question/24398433
#SPJ1
a ball dropped vertically falls d, in t seconds
d is directly proportional to the sqaure of t
the ball drops 80 in 4 seconds
how far does the ball drop in the next 8 seconds
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"d" proportional to }t^2}{ {\Large \begin{array}{llll} d=kt^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} d=80\\ t=4 \end{cases}\implies 80=k(4)^2 \\\\\\ \cfrac{80}{4^2}=k\implies 5=k\hspace{15em}\boxed{d=5t^2} \\\\\\ \textit{when t = 8, what is "d"?}\qquad d=5(8)^2\implies d=640~in[/tex]
BRAINLIEST AND A LOT OF EXTRA POINTS FOR A SURE AND CORRECT ANSWER
Answer:
b
Step-by-step explanation:
because he borrowed $2 everyday and now he owes 10 so b
yw! :)
pls make me brainliest
Tegan’s aunt deposited $4,000 into a savings account for her. The account pays 4.5% simple interest each year. If she neither adds nor withdraws money from the account, how much interest will she earn after 20 months?
Jordan has a points card for a movie theater.
.
• He receives 85 rewards points just for signing up.
• He earns 10.5 points for each visit to the movie theater.
• He needs at least 240 points for a free movie ticket.
What is the least number of visits he needs to make in order to earn a free movie
ticket?
The least number of visits he needs to make in order to earn a free movie ticket is approximately 15 visits.
What is the least number of visits needed?Points received for signing up = 85 rewards points
Points received for each visit to the movie theater = 10.5 points
Points needed for a free movie ticket = 240 points
Number of visits = x
85 + 10.5x ≤ 240
10.5x ≤ 240 - 85
10.5x ≤ 155
x ≤ 155 / 10.5
x ≤ 14.761
Approximately,
x ≤ 15 visits
Therefore, Jordan needs at least 15 visits to earn a free movie ticket.
Read more on inequality:
https://brainly.com/question/25275758
#SPJ1
Can someone help me find x and y?
Value of x is 28.5 and y is 14.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles created when two rays are in the plane where the rays are located. The intersection of two planes also creates angles. We refer to these as dihedral angles.
Given Data
a = 2x + 3y
b = 4x - y
c = 3x + 2y
∠b = 100° ( corresponding angle)
4x - y = 100
4x - 100 = y
∠a = ∠b ( alternate angle)
2x + 3y = 4x - y
Equating values of y
2x + 3(4x - 100) = 4x - 4x + 100
2x + 12x - 300 = 100
14x = 400
x = [tex]\frac{400}{14}[/tex]
x = 28.5
For the values of y,
4(28.5) -100
114 -100
14
Value of x is 28.5 and y is 14.
To learn more about angles, visit:
https://brainly.com/question/7116550
#SPJ9
divisibility rule of 84
Answer:
For example, 7 is a divisor of 84 because 84 ÷ 7 is an even division. However, that also means that 7 × (a number) = 84, so 7 is a factor of 84.
Is there a rigid transformation taking Rectangle A to Rectangle B? Explain how you know.
No. there is no rigid transformation taking Rectangle A to Rectangle B. See the explanation below.
Further explanationThe type of transformation that is taking place in the attached image from Rectangle A to Rectangle B is a non-rigid transformation. This is is because A rigid transformation (or isometry) is a transformation that DOES NOT change the size or shape of a geometric figure.
As it is easily observed, rectangle A is no longer the same shape and size as B. This means that the change or transformation that has occurred is non-rigid.
It is to be noted that dilation is a transformation that keeps the figure's geometry and orientation but alters its size. A dilation's scale factor is the factor by which each linear measure of the figure (such as a side length) is multiplied.
Learn more about rigid transformation:
https://brainly.com/question/28004150
#SPJ1
Greg has to find the area of a rectangle. The area can be determined by the equation A=5I, where A is area and I is the length of rectangle. What is the constant of proportionality?
The constant of the proportionality is 5.
Constant of proportionality:
The word constant of proportionality refers the ratio that relates two given values in what is known as a proportional relationship.
Given,
Greg has to find the area of a rectangle. The area can be determined by the equation A=5I, where A is area and I is the length of rectangle.
Here we need to find the constant of proportionality.
Through the given question we know that the area of the rectangle is
A = 5l
Here A represents the area of the rectangle
and the letter "l" denotes the length of the rectangle.
While we compare these with the standard form,
y = mx
Here m represents the constant of proportionality.
While in the given equation the place of m in standard equation number 5 is presented.
Therefore, 5 is the constant of proportionality.
To know more about Constant of proportionality here.
https://brainly.com/question/22620356
#SPJ1
does anybody know what A equals ? this is for geometry!
Answer:60°
Step-by-step explanation:the whole thing equals 180° since it is a straight line. 30°+90°=120° 180°-120°=60°
Can 4 1/2 be between three and four
I just checked it for you. yes it can
Please help I need to do it step by step and I can’t add or subject or divide or multiply fractions on this website
Answer:
x = 9
Step-by-step explanation:
To solve for x, you must isolate the variable.
First, start by adding 2 to BOTH sides to eliminate the 2.
3=1/3x. then divide each side by 1/3
3÷1/3 = x
3/1 × 3/1 = x
9 = x
Rewrite 326 in scientific notation.
Answer:
3.26 time 102
Step-by-step explanation:
Because a square of 10 is 100
3.26 x 100 = 326
We know that the decimal move 2 spots to the right
So the answer is 3.26 x 102
An elevator has a weight limit of 2000 pounds. The weights in pounds of twelve people on the elevator are shown below. 175, 140, 135, 155, 170, 190, 125, 160, 150, 150, 130, 145 a. Find the total weight of the twelve people on the elevator. b. A thirteenth person wants to get on the elevator. Write and solve an inequality that represents the weight w that person can be without exceeding the elevator’s weight limit.
The weight of the twelve people on the elevator is 1,825 pounds.
And the weight of the thirteen person is given by the inequality:
x ≤ 175
How to find the total weight of the people in the elevator?
We have an elevator with 12 people in it, such that the weights of these 12 people are:
175, 140, 135, 155, 170, 190, 125, 160, 150, 150, 130, 145
To find the total weight we just need to add these numbers, we will get:
175 + 140 + 135 + 155 + 170 + 190 + 125 + 160 + 150 + 150 + 130 + 145 = 1,825
So the 12 people in the elevator have a total weight of 1,825 pounds.
Now, the weight limit is 2,000 pounds.
So if we define x as te weight of the 13 th person, we can write the inequality:
1,825 + x ≤ 2,000
x ≤ 2,000 - 1,825
x ≤ 175
So the person can weight at mos 175 pounds.
learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1