Answer:
2
Factored out:
2 ( 2 − n )
Answer:
2
Step-by-step explanation:
The GCF (greatest common factor), is 2 because 2 can go into both numbers.
original: 4-2n
with GCF factored out: 2(2-n)
A long-distance delivery truck averages 8 miles per gallon when the truck is full. The miles per gallon improves by 20% when the truck is empty. Which expression represents the amount of gasoline used (g) in terms of the number of miles driven when full (mf) and the number of miles driven when empty (me)?
Answer:
When the truck is full: [tex]g_{mf} = \frac{m}{8}[/tex]
When the truck is empty: [tex]g_{me} = \frac{m}{9.6}[/tex]
Step-by-step explanation:
When the truck is full for every eight miles traveled by the vehicle, there is a cost of one gallon of fuel, therefore for every mile the cost is one eight of a gallon, with this information we can create the following expression:
[tex]g_{mf} = \frac{m}{8}[/tex]
Where m is the number of miles traveled by the truck.
When the vehicle is empty, it's performance improves by 20 %, which means that for the same amount of fuel it'll travel a distance 120% of the previous one. Therefore we need to multiply 1.2 on the denominator of the last expression:
[tex]g_{me} = \frac{m}{8*1.2}\\\\g_{me} = \frac{m}{9.6}[/tex]
The expression represents the amount of gasoline used (g) is,
When the truck is full (mf) is represented as [tex]m_f = \dfrac{m}{8}[/tex],
And when the truck is empty (me) is represented as, [tex]m_e = \dfrac{m}{9.6}[/tex]
Given that,
A long-distance delivery truck averages 8 miles per gallon when the truck is full.
The miles per gallon improve by 20% when the truck is empty.
We have to determine,
Which expression represents the amount of gasoline used (g) in terms of the number of miles driven when full (mf) and the number of miles driven when empty (me).
According to the question,
The amount of gasoline used (g) in terms of the number of miles driven when full (mf),
And The distance delivery truck averages 8 miles per gallon when the truck is full.
The amount of gasoline when the truck is full is represented as,
[tex]m_f = \dfrac{m}{8}[/tex]
Then,
The miles per gallon improve by 20% when the truck is empty.
The number of miles driven when empty is represented as,
[tex]m_e = \dfrac{m}{8 + 8 \times 0.20}\\\\m_e = \dfrac{m}{8+ 1.6}\\\\m_e = \dfrac{m}{9.6}[/tex]
Hence, The expression represents the amount of gasoline used (g) is,
When the truck is full (mf) is represented as [tex]m_f = \dfrac{m}{8}[/tex],
And when the truck is empty (me) is represented as, [tex]m_e = \dfrac{m}{9.6}[/tex].
To know more about the Linear equation click the link given below.
https://brainly.com/question/11835006?
Tina has 10 packages of yarn to knit a scarf. She uses 1/3 package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Answer:
30 inches
Step-by-step explanation:
She has 10 packages of yarn.
She uses 1/3 package of yarn for each inch of the scarf.
Therefore, 1 package of yarn will be 3 times each inch:
3 * 1 = 3 inches
1 package of yarn goes for 3 inches of scarf.
Therefore, 10 packages will go for:
10 * 3 = 30 inches
Kurt's truck uses 12 gallons of gas to travel 156 miles. He has 6 gallons in the tank. How much more gas will he need to drive 351 miles?
Answer:
it will be 27 gallons
Step-by-step explanation:
if we take the gallons number is x
then x=[tex]\frac{351*12}{156}[/tex]
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
Work Shown:
i = 20 = interest we want to earn
r = 0.05 = decimal form of the annual interest rate
t = 5 = number of years
P = i/(r*t)
P = 20/(0.05*5)
P = 80
Answer:
80
Step-by-step explanation:
i got it right
if A=13 and B=10, find C. Pythagorean theorem.
Answer:
C = √269
C ≈ 16.4
Step-by-step explanation:
Use the Pythagorean Theorem to solve for 'c'.
[tex]a^2+b^2=c^2[/tex]
We are given:
'a' = 13
'b' = 10
Replace the variables with the appropriate values and solve for 'c':
[tex]13^2+10^2=c^2\\\rightarrow 13^2=169\\\rightarrow 10^2=100\\169+100=c^2\\269=c^2\\\sqrt{269}=\sqrt{c^2}\\\boxed {16.40122... = c}[/tex]
16.4012195 ≈ 16.4
C is about 16.4.
please help quick !!!
Answer:
(-x + 3)/4 = 12
Step-by-step explanation:
By doing the workingout for this expression you will get the same solution.
Find the average rate of change of the function defined by the following table X -2,2,6,10 Y -5,35,75,115
Answer:
The slope is 10 (y =10x +15)
Step-by-step explanation:
When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.
The formula for finding the slope is y-y divided by x-x.
so... (35)-(-5)=40 NOTE: I did 35 minus -5 but you can also do -5 minus 35.
2-(-2)=4 But just remember to do it the same order for
subtracting the x coordinates.
40/4=10
convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Answer Choices:
A) (-2, 2√3)
B) (-2√3, 2)
C) (-2√3, -2)
D) (-4, 4√3)
Answer:
B
Step-by-step explanation:
Using the exact values
cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex]
sin150° = sin30° = [tex]\frac{1}{2}[/tex]
Given
z = 4(cos150° + isin150° ) , substitute values
= 4(- [tex]\frac{\sqrt{3} }{2}[/tex] + [tex]\frac{1}{2}[/tex]i )
= - 2[tex]\sqrt{3}[/tex] + 2i , that is
(- 2[tex]\sqrt{3}[/tex], 2 ) → B
Assigned Media
Skill Builder
X 2.4.75
The telephone company offers two billing plans for local calls. Plan 1 charges $36 per month for unlimited calls and Plan 2 charges $17 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2
b. Explain the meaning of the answer to part a.
Answer: a. 36-17 <0.04x ⇒ 475 < x
b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The cost of plan 1 (36) must be less (<) than the cost of plan 2 (fixed charge [17] plus the product of the charge per call [0.04] and the number of calls [x] )
a.36 < 17+ 0.04x
Solving for x
36-17 <0.04x
19 < 0.04x
19 /0.04 <x
475 < x
b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.
Simplify 19 – 1.67 + (–2.4)
jenny can walk 0.25 miles in 12 minutes.how far can she walk in an hour
Answer:
1.25 miles
Step-by-step explanation:
hour is 60 minutes
[tex] \frac{60}{12} = 5[/tex]
[tex]0.25 \times 5 = 1.25[/tex]
Boris eats 1/5 of the cake. Maziy eats one fifth of the cake. Sanjay and Silas eat 1/5 of the cake And jack also has 1/5 of the cake is there any cake left?
Answer:
Yes.
Step-by-step explanation:
We have to first find how much of the whole cake (1) that they all ate.
Boris eats 1/5 of the cake.
Maziy eats 1/5 of the cake.
Sanjay and Silas eat 1/5 of the cake.
Jack also has 1/5 of the cake.
The total fraction of cake eaten was:
1/5 + 1/5 + 1/5 + 1/5 = 4/5
Therefore,the fraction of the cake left is:
1 - 4/5 = 1/5
Yes, there is cake left.
In Haley's favorite video game, players stack blocks to create buildings. Haley builds a fort shaped like a cube. Haley's fort has a length, width, and height of 9 meters. What is the volume of Haley's fort?
Answer:
729 cubic meters
Step-by-step explanation:
Volume of cube is given by side^3
where side is length of the side
Given in the problem
side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .
Thus,
volume of cube = 9^3 = 9*9*9 = 729
Thus, volume of Haley's fort is 729 cubic meters.
Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Let's take each one of those answers and test it against the graph.
"Greater app price always relates to greater profit."
***As you can see, this is not true. Although the profit does increase up to a point as the app price increases, look at the profit at an app price of $4 and an app price of $11. The profit from a $4 app is about $30 million and the profit from the $11 app is about $24 million.
"Greater app price relates to greater profit as long as the app's price is more than about $7."
***As we just saw in the above statement, this is not true.
"The largest possible profits the company can make is 7 million dollars."
***The highest profit is where the highest point on the graph is. While the APP price is $7 at this highest point, the profit there is about 39 million dollars. So the largest possible profit is not 7 million, the largest profit corresponds to an app price of $7 with a profit of 39 million.
"The largest possible profit the company can make is about 40 million dollars."
***From above, we know that this is true.
The only true statement is the last one.
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
Which best describes the range of possible values for the third side of the triangle?
< 12.5, x > 18.9
12.5 < x < 18.9
x < 6, X > 26
6
26
Answer:
I'm not sure but I think the second one. 12.5 < x < 18.9
Step-by-step explanation:
Answer:
B. 12.5 < x < 18.9
Step-by-step explanation:
on edge
What is m∠BCD? A. 82 degrees B 168 degrees C. 192 degrees D. 220 degrees
Answer:
m∠BCD = 82°
Option A
Step-by-step explanation:
The opposite angles of quadrilateral inscribed in a circle are supplementary.
i.e m∠A +m∠C = 180°
or, m∠BAD + m∠BCD= 180°
or, 98° + m∠BCD = 180°
or, m∠BCD = 180°-98°
or,m∠BCD = 82°
Answer: A - 82
Step-by-step explanation:
180 - 98 = 82
took the test and got it right.
Find the shadow cast of a 10 foot lamp post when the angle of elevation of the sun is 58°. Find the length of the nearest tenth of a foot. please help
Answer:
Length of the shadow = 6.25 foot
Step-by-step explanation:
Given: A lamp post is of 10 foot
To find: length of the shadow cast of a lamp post when the angle of elevation of the sun is 58°
Solution:
Trigonometric ratios explain the relationship between the angles and sides of the triangle.
For any angle [tex]\theta[/tex],
[tex]tan\theta=[/tex] side opposite to [tex]\theta[/tex]/side adjacent to [tex]\theta[/tex]
In ΔABC,
[tex]tanC=\frac{AB}{BC}[/tex]
Put [tex]AB=10\,\,foot\,,\,\angle C=58^{\circ}[/tex]
[tex]tan58^{\circ}=\frac{10}{BC}\\BC=\frac{10}{tan58^{\circ}}\\=\frac{10}{1.6}\\=6.25\,\,foot[/tex]
So,
length of the shadow = 6.25 foot
12 less than a number y
Answer: y- 12
Step-by-step explanation:
12 is less than y so is like 12 being subtracted from y.
(WILL GIVE BRIANLIEST)
Please Help!
Question:
What is the solution set for the equation below?
(Look a the image, and the multiple choices are there)
Answer:
option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex] is the correct answer.
Step-by-step explanation:
The given Quadratic equation is:
[tex]3x^{2} -x-4=0[/tex]
Let us try to make factors:
[tex]3x^{2} -x-4=0[/tex]
Here, [tex]-x[/tex] can be written as [tex]-4x + 3x[/tex] (Look at the coefficient of [tex]x^{2}[/tex] and constant part i.e. 3 and 4). So, the quadratic equation becomes:
[tex]\Rightarrow 3x^{2} -4x+3x-4=0\\\text{Taking x common from }3x^{2} -4x \text{ and 1 common from }3x+4:\\\Rightarrow x(3x-4)+1(3x-4)=0\\\Rightarrow (x+1)(3x-4)=0\\\Rightarrow (x+1) =0\ or\ (3x-4) = 0\\\Rightarrow x =-1\ or\ x = \dfrac{4}{3}[/tex]
So, solution set for the equation [tex]3x^{2} -x-4=0[/tex] is:
[tex]\{-1,\dfrac{4}{3}\}[/tex]
Hence, option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex] is the correct answer.
This tally below shows the number of times that Jim and rob won games of checkers. What is the experimental probability that rob beats jim in future games? Jim: IIIIIIII ROB: IIIIII
another due for tomorrow help please
Answer:
189 cm²
Step-by-step explanation:
A= bh
h=9 , b=21
21×9=189 cm²
what is the value of x +when x=3?
Answer:
when x = 3, x would equal 3 since x can be substituted as 3, aka chancge any xes into 3 if they give you yhat info
Step-by-step explanation:
Answer:
x=3
will still remain as the same
so you answer is x=3
In the figure above circles with centre o and o' are externally tangent at P. I f OA= 5 is a tangent to circle centre o', the area of rectangle oklm is Brainly
Answer:
give me points pls
Step-by-step explanation:
Express the ratio below in its simplest form. 6 : 2 : 6
Answer:
Step-by-step explanation:
6:2:6=3:6=3/6=(1*3)/(2*3)=1/2
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
-10
Step-by-step explanation:
-(x-5) ^2+25
-x+5^2+25
-5 -5
-x^2+20
-2x+20
---- ----
-2 -2
x=-10
// have a great day //
holp 4h+j, where h=−4 and j=−2
Answer:
-18
Step-by-step explanation:
We are given the expression:
4h+j
We are also given h= -4 and j= -2. Therefore, we can substitute -4 in for h and -2 in for j.
4(-4)+-2
4(-4)-2
Solve according to PEMDAS
Multiply 4 and -4
-16-2
Subtract 2 from -16
-18
Answer: 4(-4)+(-2)=-18
Step-by-step explanation:
A shop is having a sale.all items are reduced by 25%. Work out the sale price of an item normally priced at £90 ?
Answer:
E67.5
Step-by-step explanation:
when we calculate 27%of E90 it result in 22.5then we subtract E22.5 from E90 which is equal to E67.5Which table represents a linear function?
Answer:
its A i just took the quiz
hope i helped!
Step-by-step explanation:
The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
be used to find w, the width of the rectangle?
Answer:
The width is 11 units.
Step-by-step explanation:
First, you have to add 4 to 18 which is 22. Then divide by 2.
These tables of values represent continuous functions. For whichfunction
will the y-values be the greatest for very large values of x?
PLEASE HELP!!!
I think it's B because it contains the highest numbers
Answer:
D
Step-by-step explanation:
The answer is D because every time x increase by 1, the y is tripling. Making it so that as x gets larger and larger, the y will become the larger than the other choices.
