Answer:
4 gallons of 15% ethanol
5 gallons of 78% ethanol
Step-by-step explanation:
Given that:
Two types of gases:
1st gas with 15% ethanol
2nd gas with 78% ethanol
The gases are to be mixed in such a way that the mixture of gases comes out to be with 50% ethanol with volume of 9 gallons.
Let amount of gas with 15% ethanol used = [tex]x[/tex] gallons
Now, we are given that total volume is 9 gallons, then
amount of gas with 78% ethanol used = 9 - [tex]x[/tex] gallons
As per the question statement:
[tex]x\times 15\% + (9-x)\times 78\%=9\times 50\%\\\Rightarrow x\times 15 + (9-x)\times 78=9\times 50\\\Rightarrow 9\times 78-9\times 50=63x\\\Rightarrow 9\times 28=63x\\\Rightarrow \bold{x = 4\ gallons}[/tex]
Therefore, the answers are:
4 gallons of 15% ethanol
9 - 4 = 5 gallons of 78% ethanol
The number of gallons required of both kind would be as follows:
4 gallons having 15% ethanol
5 gallons having 78% ethanol
Given that,
The 2 kinds of gases are:
One with 15% ethanol
Other with 78% ethanol
Given that,
The gases(ethanol and gasoline) are diluted in a such a manner that it involves a total of only 50% ethanol.
Number of gallons she wants to use = 9
This shows that only 50% of 9 gallons i.e. 4.5 gallons of ethanol can be used.
Assuming x being the gasoline's measure that is diluted with 15% ethanol.
Now,
The gasoline's measure that is diluted with 78% ethanol would be = 9 - x gallons
Therefore,
x × 15% + (9-x) × 78% = 4.5
On solving, we get
x = 4 gallons
Thus,
The measure of gallons having 15% ethanol = 4
The measure of gallons having 78% ethanol = (9 - x)
= (9 - 4)
= 5 gallons
Learn more about "Fuel" here:
brainly.com/question/6950761
Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.
Answer:
DP=9
Step-by-step explanation:
DS=4
DP=5
DP=DS+DP=4+5=9
DP=9
[tex]4\sqrt{3} * 2\sqrt{3}[/tex]
Answer: 24
Step-by-step explanation:
Answer:
12.89
Step-by-step explanation:
use a calculator
An office supply company ordered 24 cartons of specialty paper. The regular price for a carton of specialty paper is $6.88. They received a discount of $1.75 off each carton. About how much money will the office supply company need to pay for the paper? Which of the expressions gives a reasonable estimate of the answer?
Answer:
$123.12Step-by-step explanation:
Given that the regular price for the specialty paper is
$6.88 per carton
and the company receives a discount of $1.75 per carton
this means that the company will pay $6.88-$1.75 = $5.13 per carton
To calculate the cost of the supply for 24 cartons we have
24*5.13= $123.12
the cost of the supply is $123.12
alternatively we can also calculate the percentage discount as
Actual cost of 24 cartons= 24*6.88= $165.12
Discount= $6.88-$1.75 = $5.13 per carton
%discount= 1.75/6.88= 0.2543
= 25.43%
The price after discount is
=$165.12*(1-0.2543)
=$165.12*0.7456
= $123.12
Subtract. Your answer should be a polynomial in standard form. (-7d2 – 5d f3 – 3f3) - (8d+ 4d f3 +253)
Answer:
-9df^3 - 3f^3 - 7d^2 - 8d - 15625
Step-by-step explanation:
Your hourly salary increased from $11 to $23. What is the percent increase in your
salary?
Answer:
109.09090909% increase
Step-by-step explanation:
Take the new amount and subtract the original amount
23-11 = 12
Divide by the original amount
12/11
1.09090909
Change to percent form
109.09090909%
cual es el resultado de esta operacion urge 27x - 6x
Answer:
21x
Step-by-step explanation:
No más debes de restar 6 de 27 y obtienes 21 y agregas el x
The function f(x) = 2.5x + 75 is used to model the cost
of renting billboard space depending on the area, in
square feet, of the billboard, x, and including a standard
layout fee. The mathematical range for the function is
the set of real numbers
Which statement describes how the reasonable range
differs from the mathematical range?
a. The reasonable range contains only integers.
b. The reasonable range contains only positive rational
numbers
c. The reasonable range contains only integers greater
than 75
d. The reasonable range contains only positive rational
numbers greater than 75
-3(8n - 5) - 2n = 8n - 21
Answer:
Step-by-step explanation:
First you do the parentheses so the -3 x 8n= -24 and -3 x -5= 15
so it will look like this. -24n+15-2n=8n-21
Now combine like terms the -24n-2n.
-26n+15=8n-21 now subtract 8n now it will look like this
-34n+15=-21 now -15 from -21
-34n=-36
now if you want n by its self divide -34 and -36
Consider the following.
Answer:
(-8, 7); x + y = 13 → y= -x + 13
parallel lines have the same slope. slope is -1
y = -x + b
7 = -(-8) + b
7 = 8 + b
b = -1
(a) y = -x - 1
perpendicular lines have opposite slopes. slope is 1/2.
y = -1/2x + b
7 = -1/2(-8) + b
7 = 4 + b
b = 3
(b) y = -1/2x + 3
NEED HELP ASAP
given m||n find the value of x
Answer: x= 17°
Step-by-step explanation:
The two measures have to add up to 180 degrees.
(7x -1) + (5x -23) = 180 combine like terms on the left side
12x - 24 = 180 add 24 to both sides
+24 +24
12x = 204 Divide both sides by 12
x = 17
What does this symbol ^ mean?
Also called the circumflex, the caret is the symbol ( ^ ) above the 6 key on a standard qwerty keyboard.
In mathematics, the caret represents an exponent, such as a square, cube, or another exponential power.
Example attached below
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Radius r Arc Length s 19 feet 7 feet
Answer:
The radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
Step-by-step explanation:
The radian measure of the central angle θ of a circle of radius r that intercepts an arc of length s can be calculated from the formula given below
s =rθ
where s is the length of arc
r is radius of the circle
and θ is the central angle in rad (radian)
From s = rθ, Then
θ = s / r
From the question,
Radius r = 19 feet
and Arc length s = 7 feet
Hence,
θ = s / r becomes
θ = 7 / 19
∴ θ [tex]= \frac{7}{19} rad[/tex]
This means the radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
Factor by identifying a common factor in each term. help
g) 6xy2 = (3x) (?)
h) 25a3b2 = (5a2b2) (?)
i) 6x + 6y + 6p
Answer:
6xy^2=3x(2y²) common factor 3x
25a³b²=5a²b²(5a)
6x+6y+6p = 6(x+y+p)
Use the number line below, where RS = 9y +5, ST = 5y + 6, and RT = 123.
a. What is the value of y?
b. Find RS and ST.
Answer:
[tex]y=8[/tex]
RS: 77
ST: 46
Step-by-step explanation:
We know that RS and ST together make the line RT. This means the sum of their lengths will be equal to RT.
Since RT is 123, we can create the equation [tex]9y+5+5y+6=123[/tex].
Combining like terms gets us [tex]14y+11=123[/tex]
We can now solve for y by isolating the variable on one side of the equation.
[tex]14y + 11 - 11 = 123-11\\\\14y=112\\\\14y\div14 = 112\div14\\\\y=8[/tex]
Now we know the value of y. We can now substitute this into the expressions for RS and ST to find their values.
RS = [tex]9y+5\\\\(9\cdot8)+5\\\\72+5\\\\77[/tex]
ST = [tex]5y+6\\\\(5\cdot8)+6\\\\40+6\\\\46[/tex]
We can confirm this is correct because [tex]46+77=123[/tex].
Hope this helped!
Which expression is an equivalent expression of 12x + 10 + 4y?
Is there an answer key?
Answer:
2(6x+5+2y)
Step-by-step explanation:
What is 36 ÷ ( 1 - |2-7| )?
Answer:
36 / (1 - |2 - 7|) = -9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
Factor out the GCF: 35n + 28
Answer:
Hey there!
The GCF of these terms is 7.
Thus, our answer is 7(5n+4).
Let me know if this helps :)
The chart below shows the lowest elevations for four states. State Arkansas- 55 California- -282 Louisiana- -8 Texas- -2 Lowest Elevation (feet above sea level) Write an expression to model the difference in elevation between the highest and the lowest elevation listed in the table above. A. 55 - (-282) B. 55 - 282 C. -282 - -2 D. -282 - (-55)
The topic is critical path 12th grade and the subject is math of industry and government. Pls help and list the paths too ‼️‼️
Answer:
see below
Step-by-step explanation:
The difference between start and end times is the duration in each case.
The earliest start time is the latest of the earliest finish times of all predecessor tasks. These are computed working left to right.
The latest finish time is the earliest of the latest start times of all successor tasks. These are computed working right to left.
Where earliest and latest times are the same, the task is on the critical path. (It has no slack time.)
The above computations have been built into the attached spreadsheet. Here, predecessors and successors are handled manually. In appropriate scheduling software, they would be handled automatically by the specification of the task relationships.
There are 72 students in the class and 792 apples. If the apples are divided equally among the
students, how many does each student get? *
Answer:
each will get 11 Apple's
Step-by-step explanation:
divide it by 792 ÷72
11.
Answer:
11 apples per student
Step-by-step explanation:
it is a simple division task and you can apply two methods.
Method one
[tex]\frac{792 apples}{72 students}[/tex] =11 Apples per Student
Method two
if 11 students shares 792 apples
1 students gets __x__ apples.
cross multiply
x = [tex]\frac{(792 apples * 1 students)}{11 students}[/tex] = 11 Apples
WILL GIVE BRAINLIEST Pump it Up gym's daily revenue each can be modeled by R(x) = 5x where x represents the number of customers that visit the gym each day. The gym's daily costs can be modeled by the function C(x) = 2x + 150. Find the profit function P(x) if: P(x) = R(x) - C(x) P(x) = 7x +150 P(x) = 7x - 150 P(x) = 3x - 150 P(x) = 3x +150
Answer:
P(x) = 3x - 150
Step-by-step explanation:
Step-by-step explanation:
P(x) = R(x) - C(x)
Given:
R(x) = 5x
C(x) = 2x + 150
P(x) = 5x -(2x+150)
P(x) = 5x - 2x -150
P(x) = 3x - 150 <- Answer
Answer:
The profit function is P(x) = 3x-150
Step-by-step explanation:
Reason is R(x) = 5x
C(x)= 2x + 150
Plugin to P(x) = R(x) - C(x)
P(x) = 5x - (2x+150)
P(x) = 5x - 2x-150
P(x) = 3x-150
Hope this helps!
(pls mark brainliest)
Simplify: 8(20-( (9-5))^2*
Answer:
= 32
Step-by-step explanation:
= 8 [ 20 - { (9-5) }² ]
= 8 [ 20 - { (4) }² ]
= 8 [ 20 - 16 ]
= 8 [ 4 ]
= 32
note:
not sure if your parentheses are in correct position.
Answer:
[tex]\Huge \boxed{32}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]8(20-(9-5)^2)[/tex]
Evaluating according to PEMDAS:
[tex]\Rightarrow \ \ 8(20-( 4)^2)[/tex]
[tex]\Rightarrow \ \ 8(20-16)[/tex]
[tex]\Rightarrow \ \ 8 \cdot (4)[/tex]
[tex]\Rightarrow \ \ 32[/tex]
[tex]\rule[225]{225}{2}[/tex]
(4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y) i need help solving
Answer:
[tex]\huge \boxed{11x^2 y^3-4xy^2 }[/tex]
Step-by-step explanation:
[tex](4x^2y^3 + 2xy^2 - 2y) - (-7x^2 y^3 + 6xy^2 -2y)[/tex]
Distribute the negative sign to the terms in the bracket.
[tex](4x^2y^3 + 2xy^2 - 2y) +7x^2 y^3 - 6xy^2 +2y[/tex]
Grouping like terms.
[tex](4x^2y^3 +7x^2 y^3) + (2xy^2 - 6xy^2 ) +( - 2y +2y)[/tex]
Combining like terms.
[tex](11x^2 y^3) + (-4xy^2 ) +(0)[/tex]
[tex]11x^2 y^3-4xy^2[/tex]
is 5 a natural whole integer or rational or irrational
Answer:
Rational number
Step-by-step explanation:
Answer:
Rational number
Step-by-step explanation:
5/6=x-10/3x+6 solution?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }[/tex]
Apply cross product property
⇒[tex] \sf{5(3x + 6) = 6( x - 10)}[/tex]
Distribute 5 through the parentheses
⇒[tex] \sf{15x + 30 = 6( x - 10)}[/tex]
Distribute 6 through the parentheses
⇒[tex] \sf{15x + 30 = 6x - 60}[/tex]
Move 6x to left hand side and change it's sign
⇒[tex] \sf{15x - 6x + 30 = - 60}[/tex]
Collect like terms
⇒[tex] \sf{9x + 30 = - 60}[/tex]
Move 30 to right hand side and change it's sign
⇒[tex] \sf{9x = - 60 - 30}[/tex]
Calculate
⇒[tex] \sf{9x = - 90}[/tex]
Divide both sides of the equation by 9
⇒[tex] \sf{ \frac{9x}{9} = \frac{ - 90}{9} }[/tex]
Calculate
⇒[tex] \sf{x = - 10}[/tex]
Hope I helped!
Best regards!!
∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30)
∘
and m\angle B=(2x-9)^{\circ}∠B=(2x−9)
∘
, then find the value of x.
Answer:
[tex]x=21\textdegree[/tex]
Step-by-step explanation:
So we know that:
[tex]\angle A=3x-30 \text{ and}\\\angle B=2x-9[/tex]
And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:
[tex]\angle A=\angle B\\(3x-30)=(2x-9)[/tex]
Now, solve for x. Add 30 to both sides. The left side cancels:
[tex](3x-30)+30=(2x-9)+30\\3x=2x+21[/tex]
Now, subtract 2x from both sides. The right cancels:
[tex](3x)-2x=(2x+21)-2x\\x=21[/tex]
Thus, the value of x is 21.
Draw the graphs of 2x+y=6 and 2x-y +2=0.shade the region bounded by these 2 lines and x-axis
Answer: see graph
Step-by-step explanation:
Rewrite each equation in y = mx + b. Then plot the y-intercept (b) and count rise over run (m) to plot the next point. Draw a line through the points.
2x + y = 6 --> y = -2x + 6 --> m = -2, b = 6
2x - y + 2= 0 --> y = -2x +2 --> m = -2, b = 2
Shade the area between the intersection of those two lines and the x-axis.
4639 nearest thousand please answer fast
I don't know but I'll tell you as soon as I find out
Answer: 5000
Step-by-step explanation:
Please answer ASAP !!
Which statement shows 2, 4,-1, and 0 in order from least to greatest?
A 2<-4<-1 <0
B. 4<2<1<0
C. -4 <-1<0 < 2
D. 2 <0 <-1<4
Answer:
C. -4<-1<0<2
Step-by-step explanation:
Since the bigger the negative, the less it is, and since negatives are less than positives, and 0 is more than a positive and less than a negative, the answer is C.
What type of number is v5?
A) Whole number
B) Integer
C) Rational
D) Irrational
Answer:
I'm pretty sure it's letter D
Step-by-step explanation:
The square root of 5 is irrational because a square root of a positive number is either an integer or irrational, and seeing that the square root of five is most definitely not a whole number, it is irrational.