Answer:
5.6 hoursStep-by-step explanation:
Using the formula for calculating speed expressed as shown;
Speed = Distance/Time
Given parameters
Distance = 280miles
Speed = 50miles/hour
Required
Time it will take t return
From the formula above, Time = Distance/ Speed
Substituting the given parameters
Time = 280/50
Time = 5.6 hours
Hence the time it will take the driver to return is 5.6hours
Subtract 12h+1 from 34h+4 . what is the answer? a.−1/4h+5 b.1/4h+5 c.−1/4h d.1/4h+3
Answer:
D
Step-by-step explanation:
We would like to solve:
(3/4h + 4) - (1/2h + 1)
This is equivalent to:
3/4h + 4 - 1/2h - 1
First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:
3/4h - 1/2h + 4 - 1
The common denominator for 3/4 and 1/2 is 4, so:
3/4h - 1/2h = 3/4h - 2/4h = 1/4h
Put this back in:
1/4h + 4 - 1
1/4h + 3
The answer is thus D.
~ an aesthetics love
Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirteen years?
Answer:
Patricia's account balance after thirteen years is $867.15.
Step-by-step explanation:
It is given that,
Principal on deposited amount is $612.40
Rate is 3.2%
We need to find Patricia's account balance after thirteen years, t = 13 years
This problem is based on the concept of simple interest. Interest is given by :
[tex]I=PRt\\\\I=612.4\times \dfrac{3.2}{100}\times 13\\\\I=\$254.75[/tex]
Net amount = $612.40 + $254.75=$867.15
b) Below is a regular hexagon. A piece is cut out and translated to the opposite side to form an
irregular polygon that will tessellate. On the right, the figure that can tessellate is drawn solid,
and the original hexagon sides are shown as dashed lines. (10 points)
Copyright Edcenuity in
Student Guido (continued)
Perform two translations to the parallelogram below to transform it into an irregular polygon
that can tessellate.
Using inspiration from the hexagon example, we can cut out a side of the parallelogram and move that portion to the opposite side. The cut can be a curve of any kind or it could be a jagged edge like I have done below. The figure tessellates the plane as shown in the last section of the diagram. We can place the figures side by side to fill up a 2D space. Think of it like putting a jigsaw puzzle together in a way.
I’ll give you 20 points if you help me please
Answer:
f(g(x)) = 2x - 5
Step-by-step explanation:
If f(x) = 2x + 1 and g(x) = x - 3
Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)
f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5
Answer:
[tex]\huge \boxed{f(g(x))=2x+-5}[/tex]
Step-by-step explanation:
The functions are given,
[tex]f(x)=2x+1[/tex]
[tex]g(x)=x-3[/tex]
To find [tex]f(g(x))[/tex], the input for the function f of x will be g of x.
[tex]f(g(x))=2(x-3)+1[/tex]
Expand brackets.
[tex]f(g(x))=2x-6+1[/tex]
Combine like terms.
[tex]f(g(x))=2x-5[/tex]
What is the term, coefficient, constant, and factor of 1/2(base1 + base2)h? (Formula used to find area of trapezoid)
Answer:
i. Term = [tex]\frac{b_{1}h }{2}[/tex] + [tex]\frac{b_{2}h }{2}[/tex]
ii. Coefficient = [tex]\frac{1}{2}[/tex]
iii. Constant = [tex]\frac{1}{2}[/tex]
iv. Factor = [tex]\frac{h}{2}[/tex]
Step-by-step explanation:
A trapezoid is a quadrilateral which has its base parallel to the opposite side. It's area can be determined by;
Area of trapezium = [tex]\frac{1}{2}[/tex] ([tex]b_{1}[/tex] + [tex]b_{2}[/tex])h
Where [tex]b_{1}[/tex] is the measure of length of its fist base, [tex]b_{2}[/tex] is the measure of its second base and h is its height.
Considering the given question,
Term = [tex]\frac{b_{1}h }{2}[/tex] + [tex]\frac{b_{2}h }{2}[/tex]
Coefficient = [tex]\frac{1}{2}[/tex]
Constant = [tex]\frac{1}{2}[/tex]
Factor = [tex]\frac{h}{2}[/tex]
7. 4y(5y - 11) – 2y(3y + 10)
Answer:
[tex]14y^{2} -64y[/tex]
Step-by-step explanation:
Hello!
4y(5y - 11)
Distribute the 4y
4y * 5y = 20y^2
4y * -11 = -44y
Put it together
20y^2 - 44y
2y(3y + 10)
Distribute the -2y
-2y * 3y = -6y^2
-2y * 10 = -20y
Put it gether
-6y^2 - 20y
Put it all together
20y^2 - 44y - 6y^2 - 20y
Combine like terms
14y^2 - 64y
The answer is [tex]14y^{2} -64y[/tex]
Hope this helps!
please help :) Choose the number that is larger than: 1.11 x 10 to the 12 power A. 90,000,000,000 B. 5.66 x 10 to the 11th power C. 1.01 x 10 to the 13th power D. 1.01 x 10 to the 12 power
Answer:
First we need to find the value of 1.11 * 10^12.
We need to solve the exponent first.
10^12 = 1000000000000
Next, we will multiply this by 1.11.
1,000,000,000,000 * 1.11 = 1,110,000,000,000
The value of 1.11*10^12 is equal to 1,110,000,000,000.
We can immediately rule out a), 90,000,000,000 as an answer. We can easily tell that out solution is greater than this answer.
Now we will find the value of option b).
5.66 * 10^11.
We need to solve the exponent first.
10^11 = 100000000000
Next, we will multiply this by 5.66.
100,000,000,000 * 5.66 = 566,000,000,000
This number is not greater than our solution to 1.11 * 10^12. Therefore, option b) is not your answer.
Now we will find the value of option c).
1.01 * 10^13.
We need to solve the exponent first.
10^13 = 10,000,000,000,000
Next, we will multiply this by 1.01.
10,000,000,000,000 * 1.01 = 10,100,000,000,000
This number is greater than our solution to 1.11 * 10^12. Therefore, option c) is your answer.
Hope this helps!
Step-by-step explanation:
Option C. 1.01×10¹³ which is 1010×10¹⁰ is larger than 111×10¹⁰.
How to compare numbers ?Write all the given numbers in same powers of 10 and then compare the base.larger base is the larger number.
According to the given question we have to choose the correct option for a numbers which is larger than 1.11×10¹².
We know 10¹² has 12 zeroes after 1.
In option a 90,000,000,000 it has 10 zeroes so it can be written as 9×10¹⁰
and 1.11×10¹² can be written as 111×10¹⁰ so option A is smaller.
looking at option B. which is 5.66×10¹¹ this can also be written as 56.6×10¹⁰.
Which is gain smaller than 111×10¹⁰.
Option C. which is 1.01×10¹³ which can be written as 1010×10¹⁰ which is larger than 111×10¹⁰.
learn more about scientific form here :
https://brainly.com/question/142095
#SPJ2
the area of a triangle is 54 cm. if the height is 3 cm more than the base, find the length of base
A={a,b,c,d} B={p,q,r,s} find the value of A-B and B-A
Answer:
A-B= (a,b,c,d)-(p,q,r,s)
=( )
B-A =(p,q,r,s)-(a,b,c,d)
( )
Answer:
A - B = { a , b , c , d }B - A = { p , q , r , s }Step-by-step explanation:
Given,
A = { a , b , c , d }
B = { p , q , r , s }
Let's find the difference of two set A and B :
A - B = { a , b , c , d } - { p , q , r , s }
The difference of two sets A and B is denoted by A - B and defined as the set of all the elements of A only which are not in B.
⇒A - B = { a , b , c , d }
Now, let's find the difference of two sets B and A
B - A = { p , q , r , s } - { a , b , c , d }
Similarly, The difference of two sets B and A is denoted by B - A and defined as the set of the all elements of set B only which are not in A.
⇒ B - A = { p , q , r , s }
Hope I helped!
Best regards!!
A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline? -33 miles -83 miles -120 miles -270 miles
Answer:
Hey there!
1 gallon of gas is equal to 18 miles of road.
15 gallons of gas is equal to 18(15) miles, or 270 miles of road.
Let me know if this helps :)
Answer:
D) because if you take 18 times 15 you would get 270
Step-by-step explanation:
Stay safe, positive, and healthy C:
Have a wonderful morning c:
Keith has 39 books in his library he brought several books at a yard sale over the weekend he now has 84 in his library how many? Keith has 45 boooks
Subtract original amount from new amount:
84 - 39 = 45
He bought 45 books.
Which of the following is a statement? What talent! He is talented. Is he talented?
Answer:
he is talented
Step-by-step explanation:
don’t understand why I have to type a question each time when I have a picture but anyone know this?!
Answer:
3/8
Step-by-step explanation:
There are 8 boxes and 3 shaded columns
[tex]\frac{3}{4}\times \frac{1}{2} \\\\=\frac{3\times \:1}{4\times \:2}\\\\=\frac{3}{4\times \:2}\\\\=\frac{3}{8}[/tex]
Answer:
Hey there!
The correct answer is 1/2(3/4)=3/8
Hope this helps :)
which of the following equations does not represent a true statement
Answer:
C) -6-(-3)=3
Step-by-step explanation:
-6-(-3)=
-6+3=
-3 (Not positive 3)
So the third one is incorrect
Need help giving 13 points
Answer:
Read Exp:
Step-by-step explanation:
9.) (-6)^2
10.) 10^3
11.) (2/3)^6
Answer:
see below
Step-by-step explanation:
( -6) * (-6)
The base is -6. It is multiplied 2 times so the exponent is 2
(-6)^2
10*10*10
The base is 10 It is multiplied 3 times so the exponent is 3
10 ^3
2/3 * 2/3 * 2/3 * 2/3 *2/3 *2/3
The base is 2/3. It is multiplied 6 times so the exponent is 6
(2/3) ^6
A manufacturer drills a hole through the center of a metal sphere of radius R = 8. The hole has a radius r. What value of r will produce a ring whose volume is exactly half the volume of the sphere? (Round your answer to two decimal places.)
Answer:
New radius(r) = 3.65 (Approx)
Step-by-step explanation:
Given:
Radius of sphere(R) = 8
Find:
New radius(r)
Computation:
Volume of sphere = (4/3)πR³
Volume of sphere = (4/3)π(6)³
Volume of sphere = 288π
Volume of ring = (4/3)π(R²-r²)³/²
Half volume of sphere = Volume of ring
288π / 2 = (4/3)π(R²-r²)³/²
144 = (4/3)(6²-r²)³/²
108 = (6²-r²)³/²
New radius(r) = 3.65 (Approx)
for each diagram, determine whether angles 1 & 2 are adjacent angles, heeeelp please :(
Answer:
Diagram 5: Not adjacent angles
Diagram 6: Not adjacent angles
Diagram 7: Are adjacent angles
Diagram 8: Are adjacent angles
Step-by-step explanation:
In order for angles to be adjacent, they need to have all of three things:
1. Have a common vertex
2. Have a common side
3. Must not overlap
Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.
Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.
Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.
is y=-2+5x a function
Answer:
No
Step-by-step explanation:
Because of the y^2, each value of x will be represented twice on the y-axis. Henceforth, the vertical line will pass through this line twice. THIS IS NOT A FUNCTION. ... It passes the vertical test for function.
A family travels, by plane, five hundred miles from their city to a beach town. Then they take a taxi from the airport to the hotel at the beach. When they ask the driver how far the airport is from the hotel, he tells them twenty kilometers. What is the approximate total distance, in miles, the family traveled
Answer:
512.4274 miles
Step-by-step explanation:
500m + 20k = distance
1 kilometer = 0.621371 miles
20k = 12.4274
500 + 12.4274 = 512.4274 miles
Help please!!!! Thank you
Answer:
Option (C) : 3
Step-by-step explanation:
Circumference of front tire = Circumference of back tire
[tex]3(2\pi\: r) = 2\pi \R[/tex]
[tex] \R = 3r[/tex]
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran 1/6 the loop in an hour. What is Selma’s unit rate in miles per hour for Monday’s run? In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour. In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour. According to the question, the unit rate is to be expressed in which units?
Hello There!!~
The units of per hours is = 4.5
Explanation:
Unit rate in miles per hour is the ratio of total distance covered in miles to total time taken in hour to cover that distance.
L = 3/4
Time taken to cover the loop on monday:-
T = 1/6 hours.
Unit rate in miles per hour :-
V = L/T
=> 3/4 ,1/6 =18/4
18/4 = 4 5
Hope This Helps!! :)
By °~Itsbrazts°~
The football team lost three yardsOn the first play game 5 yards on the second play in lost to yards on the third play represent the total yards after three plays as an integer
Answer:
Total lost yards = 10 yards
Step-by-step explanation:
Given:
First match = lost 3 yards
Second match = lost 5 yards
Third match = lost 2 yards
Find:
Total lost yards
Computation:
Total lost yards = First match + Second match + Third match
Total lost yards = 3 yards + 5 yards + 2 yards
Total lost yards = 10 yards
let x and y be numbers, y ≠ 0 and let n be a positive integer. How is (x/y)^n related to x^n and y^n?
Answer:X∧N and Y ∧N share a variable
Step-by-step explanation: X∧N
Y∧N
they have the last same variable
.A straight line passes through point A(2,4) and B(6,12). Find the equation of the perpendicular bisector of line AB (write your answer in the form ax+by=c)
Answer:
x + 2y = 20
Step-by-step explanation:
We require the slope and the midpoint of AB
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(2, 4) and (x₂, y₂ ) = B(6, 12)
m = [tex]\frac{12-4}{6-2}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
-----------------------------------
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]
Thus midpoint of AB = ( [tex]\frac{2+6}{2}[/tex], [tex]\frac{4+12}{2}[/tex] ) = (4, 8 )
--------------------------------------------
y = - [tex]\frac{1}{2}[/tex] x + c ← partial equation of perpendicular bisector
To find c substitute (4, 8) into the partial equation
8 = - 2 + c ⇒ c = 8 + 2 = 10
y = - [tex]\frac{1}{2}[/tex] x + 10 ← in slope- intercept form
Multiply through by 2
2y = - x + 20 ( add x to both sides )
x + 2y = 20 ← in the form ax + by = c
Simplify the expression
5+(-6)^2
Answer:
41
Step-by-step explanation:
5 + (-6)^2
=> 5 + 36
=> 41
Identify the number that does not belong with the other three. Explain your reasoning (24 points)
Answer:
See explanation
Step-by-step explanation:
The number that would not belong is [tex]\sqrt{48}[/tex] since it is irrational
Answer:
[tex]\sqrt{48}[/tex]
Step-by-step explanation:
Looking at the numbers, we can see that the first number, third, and fourth number are all rational numbers since they either repeat or terminate.
On the other hand, let's try and simplify the square root of 48:
[tex]\sqrt{48}=\sqrt{16\cdot3}=\sqrt{16}\cdot\sqrt3=4\sqrt3[/tex]
The square root of 3 is irrational. Therefore, 4 times the square root of 3 is also irrational. All of the given numbers are rational instead of the second one. So, the second number does not belong .
You roll a fair die. What is the probability of rolling a 3 or an even number
Answer:2/3 or 66.666%(don't quote me if I'm wrong about this)
Hari borrowed Rs. 126000 from a money-lender at 15% per annum simple interest,
After 3 years, he paid Rs. 70700 and gave a buffalo to clear off the debt. What is the
cost of the buffalo?
Answer:
Rs. 112000
Step-by-step explanation:
Borrowed money = Rs. 126000Interest rate = 15% PA simpleTime = 3 yearsHari is due to pay after 3 years:
126000* (1+ 3*15/100) = 182700He pays Rs. 70700, remaining money is cleared by giving buffalo.
Cost of buffalo:
182700 - 70700= Rs. 112000Answer is: Rs. 112000
Answer:
Solution,
principal(P)= Rs. 126000
Rate(R)=15%
Time(T)=3 years
Money paid=Rs.70700
Cost of buffalo=?
We know that,
Interest=P*T*R
100
= Rs. 126000*3*15
100
= Rs. 56700
Now,
Amount(A)=P+I
=Rs. ( 56700+126000)
= Rs.182700
Again,
by the question,
Cost of buffalo= Amount- Money paid
= Rs.(182700- 70700)
= Rs. 112000
Therefore, the cost of buffalo is Rs. 112000.
If anyone knows how to do this stuff I would love some help (✿◠‿◠)
Answer:
See explanation below
Step-by-step explanation:
(a) The spread of the data is represented by their range,
Adam's Range : 106 - 91 = 15
Miguel's Range : 105 - 86 = 19
As Miguel's Range is greater, his data has the greater spread
(b) The middle 50 percent of both data sets would be the following,
Adam | 103 | 105 | 104 | 106 | 100
Miguel | 88 | 86 | 89 | 93 | 105
And their 50% range would be ...
Adam's 50% Range : 106 - 100 = 6,
Miguel's 50% Range : 105 - 86 = 19
Adam still has the least spread, even in the middle 50%
(c) This proves that their is a small variance in Adam's training times, but a large variance in Miguel's training times (Miguel's data is more likely skewed).
You spend $30 20 on 4 CDs Each CD costs the same amount and is on sale for 80% of the original price
2 Write and solve an equation to find how much you spend on each CD. Let p represent the price you pay for each CD
Equation QS-2240
You spent $ 5.5 on each CD
The next day, the CDs are no longer one sale You have $25. Will you be able to buy 3 more CDS?
Yes you will
be able to buy 3 more CDs
Explain your reasoning for part b).
Each CD COSTS
at the regular price, so 3 CDs would cost $
Answer:
You will only be able to buy two at the original price the following day.
Step-by-step explanation:
You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price.
If x = original cost of one CD
80% of one CD = 0.8x
0.8x = the price you pay for one discounted CD
You buy 4 of the discounted CDs for $30.40
4(0.8x) = 30.40
solve for x, the original cost of one CD
3.2x = 30.40
x = 9.50
The next day, the CDs are no longer one sale. You have $25. Will you be able to buy 3 more CDs?
25$ / $9.50 = 2.63 CDs