Answer:
7.83 km/h
Step-by-step explanation:
Let v = average speed for first part, v' = average speed for second part.
Given that v' = v - 15, the distance covered by the first part d = 350 km. The distance covered in the second part d' = 470 km - 350 km = 120 km.
Since both parts are covered in the same time,
d = vt and d' = v't = (v - 15)t
So, 350 = vt (1) and 120 = vt - 15t (2)
substituting vt = 350 into (2), we have
120 = 350 - 15t
collecting like terms, we have
15t = 350 - 120
simplifying, we have
15t = 230
dividing through by 15, we have
t = 230/15
t = 15.33 h
Since d' = v't, then
v' = d'/t
= 120 km/15.33 h
= 7.83 km/h
So, the average speed for the second part of the journey is 7.83 km/h
Kara takes 4.5 hours
to deliver 396
newspapers. What is
the rate per hour
she is delivering the
newspapers?
7 RP 1
- 8.5а - 4.5+ За = - 24.5
Answer:
a=3.63
Step-by-step explanation:
Isolate the variable by dividing each side by factors that contain the variable.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer:
9.8 because of the rate that is given
Step-by-step explanation:
Write the following ratio using two other notations. 6:7 Use only the numbers above (not any others). Notation one: Notation two: . X
what is the answer?
9514 1404 393
Answer:
6/76 to 7 (some authors would write this "6 is to 7")Step-by-step explanation:
The commonly used symbols for ratios are a colon or a fraction bar. Words can also be used.
6 : 7 = 6/7 = 6 to 7
__
When the ratio is part of a proportion, then it might be written ...
6 is to 7
as in ...
6 : 7 :: 12 : 14 . . . . . . . 6 is to 7 as 12 is to 14
Help asap i will give brainliest;)
Answer:
Simple the area is 88
Step-by-step explanation:
The football team gained 7 yards in the first play and lost 8 yards in the second play. Did they gain or lose yard? _____ How many? _____
Answer:
+7 -8 = -1
lost yard
lost yard by 1 yard
Step-by-step explanation:
On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. 3.Which number is the slope of the line shown by the equation? A .14 C .70 B. 40 D.75 4.Which number is the y-intercept A. 14 C. 70 B.40 D.75
Answer:
Which number is the slope of the line shown by the equation?
B. 40
Which number is the y-intercept
D.75
Step-by-step explanation:
The formula for the Equation of a line =
y = mx+b
where:
m is the slope and b is the y-intercept.
Hence, interpreting the above question:
On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour.
x is the number of hours and y is the total fee.
Hence, the Equation we have is:
y = $40 × x + 75
y = 40x + 75
Comparing with the Equation of a line formula
= y = mx+b
Therefore:
The slope of the line = 40
The y intercept = 75
A tin of paint, 6 cm high, holds a half a litre of paint. How much paint would go into a similar
tin which is 12 cm high?
Answer:
One liter
Step-by-step explanation:
The first tin is 6 cm, holds 1/2 liter.
12 is double 6, because 6 x 2 = 12.
What you do to one side you have to do to the other, 1/2 x 2 = 1.
One liter of paint.
Simplify : - sqrt(- 75) A. - 5i * sqrt(2) B. - 5i * sqrt(3) C. - 5i D. 5i
Answer:
B
Step-by-step explanation:
Here, we want to calculate the square root of -√- (75)
That will be
-√(25)(-3)
= -5 √(-3)
√(-3) is same as 3i
So we have the root as;
-5i√3
Bethany and Aidan each have candy bars that are the same size and shape. Bethany's candy bar is marked so that it can be broken into equal parts. Aidan's candy bar is marked to that it can be broken into equal parts. Bethany ate pieces of her candy bar. Aidan also ate pieces of his candy. What is this problem about?
Answer:
Step-by-step explanation:
This problem is most likely about what percentage of the candy does each individual have left. Since the phrase is explaining that each ones candy bar is the same size and can be broken into equally divided pieces then it is most likely about figuring out which one of the individual's has more candy left over when compared to the other's candy. This is possible since both candies are the same size but more information would be needed.
Orlando is simplifying the expression 29 + (–42).
How can you rewrite this problem as a subtraction problem?
Answer:
29-42
Step-by-step explanation:
Since the expression contains a negative number, it can be rewritten as 29-42.
The population of town A increases from 1,346 to 1,500. In the same period, the population of town B increases from 1,546 to 1,800.
a. Find the percent of increase in population for town A and for town B.
b. Which town had the greater percent of increase?
please help
Answer:
C $44.99 is the answere
Answer:
there you go! 2 extra for you ⊂:
Step-by-step explanation:
Determine the value of z for the system of equations. x + y + z = 2 3x - 2y + 2z = -8 8z - 12y - x = 12
Answer:
4Step-by-step explanation:
To get the value of z, we need to reduce the system of equation into two and 2 unknowns;
Add 1 and 3:
y - 12y + z + 8z = 2+12
-11y + 9z = 14 ....... 4
Also Multiply equation 1 by 3 and subtract from 2
Eqn 1 * 2 will give 3x + 3y + 3z = 6
Subtract from eqn 2;
3y-(-2y)+3z-2z = 6-(-8)
5y+z = 14 ....5
Solve 4 and 5
-11y + 9z = 14 * 5
5y+z = 14 * 11
________________
-55y + 45z = 70
55y + 11z = 154
Add both
45z+11z = 70+154
56z = 224
z= 224/56
z = 4
Hence the value of z is 4
How many solutions does the system have?
y=5+ 62
y=6x + 5
A) Exactly one solution
B) No solution
C) Infinitely many solutions
I’ll mark as BRANLIEST!!
50 POINTS!!
Plz help me it’s a final and if I don’t do this question or get it wrong I will not go to college god loves you.
Answer:
15. {1, 3, 5, 7}
16. nothing empty set { }
17. {0, 1, 2, 4, 5, 6, 7, 8, 10}
Step-by-step explanation:
the U means combining the sets that fit the criteria
the upside down U means what fits both criteria
for 16, it asks for contradicting criteria so there is nothing in the set.
please give thanks by hitting the like :)
and brainliest :)
7. Determine the value of x for which ris if
m_1 = 80 - X; and
• m22 90 - 2x.
The given is that r║s while the angles are known.
m∠1 = 80 - x
m∠2 = 90 - 2x
m∠1 = m∠2 because of corresponding angles theorem.
So,
m∠1 = m∠2
80 - x = 90 - 2x
- x = 90 - 80 - 2x
- x = 10 - 2x
- x + 2x = 10
x = 10
The value of x is 10
Can you please help me!? Explain and show work, please!
Answer:
no solution
Step-by-step explanation:
Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function Y=8/5x+ 3/5
Answer:
A general lineal equation is written as:
y = a*x +b
Where a is the slope (also called the rate of change) and b is the y-intercept-
For a line that passes through the points (x1, y1) and (x2, y2)
The slope will be:
a = (y2 - y1)/(x2 - x1)
For the line:
Y= (8/5)*x+ 3/5
The slope, or rate of change, is 8/5.
Then we want to find two points (x1, y1) and (x2, y2) such that the slope generated by them is larger to 8/5.
There are a lot of ways to finding these points, a simple way is:
We could define (x1, y1) = (0, 0)
And (x2, y2) = (5, 9)
Then the rate of change of the line that passes through these two points will be
a = (9 - 0)/(5 - 0) = 9/5
Which is larger than 8/5, as we wanted.
1. A small college requires its students to take at least one Mathematics course and at least one Science course. A survey of 140 of its students shows that:
60 completed their Mathematics requirement, 45 completed their Science requirement and 20 completed both Mathematics and Science requirements. Use a Venn diagram to find the number of students who had completed:
a. exactly one of the two requirements;
b. at least one of the requirements;
c. neither requirement.
Answer:
65
85
Step-by-step explanation:
Exactly one of the two requirement
Maths only = 45 - 20 = 25
Science only = 60 - 20 = 40
Exactly one = (25 + 40) = 65
B.) Atleast one :
(25 + 40 + 20) = 85
C) Neither :
140 - 85 = 55
In order to join a hip-hop dance crew, there is a 30$ initiation fee and a 4$ monthly fee. If you were to write an expression to represent the situation, what is the constant
Answer:
30 is your constant
Step-by-step explanation:
y = 4x + 30 ends up being your equation and a constant is the # without a variable. That is why the constant would be 30.
6n – 4 + 5n - 5 what is the awnser
Answer:
11n-9
Step-by-step explanation:
6n-4+5n-5
11n-4-5 Combine like terms
11n-9
What does ⊥ mean in math ?
plz don't copy from g00gle
Answer:
Perpendicular
Step-by-step explanation:
It is a symbol used for showing any two lines perpendicular to each other.
Answer:
The symbol ⊥ is representative of the perpendicularity of lines.
Step-by-step explanation:
For lines to be perpendicular, they must intersect and form a right angle (90 degrees).
For example, in the image shown:
[tex]AB[/tex] ⊥ [tex]XY[/tex]
This is because the two lines intersect and form a right angle.
In 2010, Carlos purchased a car whose value y, after x years is given by y = 6,750(0.82) What is the correct interpretation of 0.82 in this equation?
0
А
There will be an 18% decrease in y annually.
B
There will be an 82% decrease in y annually.
С
There will be an 18% increase in y annually.
D
There will be an 82% increase in y annually.
Answer: the correct answer is a.
Step-by-step explanation:
12x + 10x what is the awnser
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
( ALSO ANOTHER QUICK ONE)
There are 100 students and 5 teachers going on a field trip. Each bus can hold a maximum of 40
people. What is the fewest number of buses required for the field trip?
Answer:
So if you Divided the number of students to the number of the teachers you will have 19 students to each one teacher which means:
Step-by-step explanation:
100÷5=20 ( 19 students & 1 teacher )
science each bus can hold a maximum of 40 people.
100 = 20 20. 20. 20. 20
20 + 20 = 40 ( first bus )
20 + 20 = 40 ( second bus )
last 20 alone ( third bus )
The final answer is the fewest number of buses required for the field trip is 3 buses.
Pls help I cant do this
Answer:
Here you go!
Step-by-step explanation:
Hope this helped!
Answer: a=7
d=2
Step-by-step explanation:
Round the number to the nearest hundredth 3.99527
Answer:
nnnnnnnn
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Fidel has $217.18 and his checking account until the end of the month Fidel writes a check for $357.42 how much money does Fidel now have in his checking account.
Answer:
the amount that Fidel now have in his checking account is $140.24
Step-by-step explanation:
The computation of the amount that Fidel now have in his checking account is shown below:
= Ending balance - Opening balance
= $357.42 - $217.18
= $140.24
Hence, the amount that Fidel now have in his checking account is $140.24
We simply applied the above formula so that the correct value could come
And, the same is to be considered
A stone is thrown vertically upwards with an initial velocity 20m/s. Find the maximum height it reaches and the time taken by it to reach the height.
(g= 10m/s)
who gives answer with explanation i will make him braillint
Answer:
The maximum height it reaches is 20 meters
The time taken by it to reach the height is 2 seconds
Step-by-step explanation:
The formula of the height of the stone is h = u t - [tex]\frac{1}{2}[/tex] g t², where
t is the time to reach the height hu is the initial velocityg is the acceleration of gravity∵ A stone is thrown vertically upwards with an initial velocity of 20 m/s
∴ u = 20 m/s
∵ g = 10 m/s²
→ Substitute them in the equation above
∴ h(t) = 20t - [tex]\frac{1}{2}[/tex] (10) t²
∴ h(t) = 20t - 5t²
→ Arrange the terms of the right side according to the greatest power of t
∴ h(t) = -5t² + 20t
To find the maximum height and the time of it find the vertex of the quadratic function (m, k), where m = [tex]\frac{-b}{2a}[/tex] and k is the value of h at t = m, a is the coefficient of t² and b is the coefficient of t
∵ The coefficient of t² is -5
∴ a = -5
∵ The coefficient of t is 20
∴ b = 20
→ Use them to find h
∵ m = [tex]\frac{-20}{2(-5)}[/tex] = [tex]\frac{-20}{-10}[/tex] = h
∴ m = 2
→ Substitute it in the equation above to find k
∵ h(m) = k
∵ k = -5(2)² + 20(2)
∴ k = -5(4) + 40
∴ k = -20 + 40
∴ k = 20
∴ The coordinate of the vertex of the function are (2, 20)
→ m represents the time of the maximum height and k represents
the maximum height
∴ The maximum height it reaches is 20 meters
∴ The time taken by it to reach the height is 2 seconds
Which of the statements is true
a. v7 is an integer
C. V25 is a rational number
b. V16 is an irrational number
d. 190 is neither rational nor irrational number
Answer:
The only valid choice is c.
Step-by-step explanation:
Rational Numbers
Rational numbers have the form a/b, where a and b are integers and b is not zero.
In other words, rationals are all numbers that can be written as a fraction.
Examples are -3/7, 11/2, 5, 0
Note the last two numbers are integers, but they are also rationals because an integer can be expressed as a fraction with a denominator of 1.
Irrational numbers are the opposite, they cannot be expressed as a fraction.
a. [tex]\sqrt{7}[/tex] is not an integer since it's irrational. False
c. [tex]\sqrt{25}[/tex] = 5 or -5. It is a rational number because it's an integer. True
b. [tex]\sqrt{16}[/tex] = 4 or -4. It is not an irrational number because it's an integer. False
d. 190 is a rational number. False
The only valid choice is c.
