Answer:
1: 2 and $3.072
Step-by-step explanation:
According to the question, the data provided is as follows
10 half gallons
For this she paid $15.36
Based on the above information,
The ratio in fractional form is
= 1 ÷ 2
= 1 : 2
And, the cost of gasoline per gallon is
Since half of 10 gallons is 5
And, the amount paid is $15.36
So, the cost of gasoline per gallon is
= $15.36 ÷ 5
= $3.072
Which number is greater than -2
Simplify the following: [tex]\frac{-1(-8x - 16)}{-2 -x} = \frac{-1(-16-8x)}{-2 -x}[/tex]
2(n+2)=4n+1-2n
Whats the answer
Answer:
no solution
Step-by-step explanation:
Given
2(n + 2) = 4n + 1 - 2n ← distribute parenthesis on left side
2n + 4 = 2n + 1 ( subtract 4 from both sides )
2n = 2n - 3 ( subtract 2n from both sides )
0 = - 3 ← not possible
This indicates the equation has no solution
The original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.
To solve the equation 2(n + 2) = 4n + 1 - 2n, we can simplify and then solve for the variable n.
First, distribute 2 to the terms inside the parentheses:
2n + 4 = 4n + 1 - 2n
Next, combine like terms on the right side:
2n + 4 = 2n + 1
Now, subtract 2n from both sides to isolate the n term:
2n - 2n + 4 = 2n - 2n + 1
4 = 1
Since 4 is not equal to 1, there is no solution to this equation.
Therefore, the original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.
Learn more about Equation here:
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Aaron’s age is three years less than Devon‘s age the sum of their ages is 31 find each of their ages
Aaron 14 years
Devon 17 years
Step-by-step explanation:D = A + 3
D + A = 31
replace D
A + 3 + A = 31
2A = 31 - 3
2A = 28
A = 14 years
D = 17 years
Simplify
45
125
Solve this
Answer:
9/25
Step-by-step explanation:
I guess you mean 45/125
they are divisible by 5
45/5 = 9
125/5 =25
9/25
What rewrite 4/6 : 1/3 as a unit rate
Answer:
unit rate is 2
Step-by-step explanation:
Notice that if we multiply both '1' and '3' in 1/3 by 2, we get:
4/6 : 2/6,
which reduces to 4/2, or 2, which is the desired unit rate.
Answer:
The answer is 2:1
Step-by-step explanation:
what is a unit rate?
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
When writing a unit rate the denominator is always 1
If you want to obtain a unit rate you divide both quantities by the second one.
A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; Their cost for manufacturing, royalties, and distribution are $5.50 per CD. They sell the CDs to Mage-Mart for $7.20 each
Answer:
Instructions are below.
Step-by-step explanation:
Giving the following information:
Fixed costs= 4,000 + 10,000= $14,000
Unitary variable cost= $5.5
Selling price= $7.2
To calculate the number of units to be sold to break-even, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 14,000 / (7.2 - 5.5)
Break-even point in units= 8,235 units
In dollars:
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 14,000 / (1.7/7.2)
Break-even point (dollars)= $59,294
Now, imagine the company requires a profit of $50,000:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= 64,000/1.7
Break-even point in units= 37,647 units
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Break-even point (dollars)= 64,000 / (1.7/7.2)
Break-even point (dollars)= $271,059
3 + 5x = 3x - 9 =? help, please
Answer:
it looks like you are trying to find x in this problem so x= -6
Answer:
Step-by-step explanation:
3 + 5x = 3x -9
-3 -3x -3x -3
2x = -12
2x/2 -12/2
X= -6
y+6x=11; x = -2,0, 4
Solve the equation for y.
Answer:
23, 11, -13
Step-by-step explanation:
y+6(-2)=11
y-12=11
y=23
y+6(0)=11
y+0=11
y=11
y+6(4)=11
y+24=11
y=-13
Last one lol please help!!!
Answer:
(C) 50π
Step-by-step explanation:
For this problem, we need to find a way to relate the inner circle, to the square, to the outer circle.
Given that we know the area of a circle is πr^2, and our inner circle has a area of 25π, we can find the radius.
25π = πr^2
25 = r^2
5 = r
Note, that the diameter of the inner circle is parallel to the side of the square, meaning that the diameter of the inner circle is the length of the side of the square.
diameter = 2 * radius
d = 2 * 5 = 10.
Now that we know the value of the side of the square, we can find the length of the diagonal of the square, which is the diameter of the outer circle.
Using the properties of the 45-45-90 right triangle, we can say that the diagonal of the square is the length of the side times sqrt(2).
Outer_Diameter = 10 * sqrt(2)
Now to find the outer area, we need the formula for the area of a circle. Note that the diameter is twice the radius, so we will simply divide by 2.
A = πr^2
A = π * [ ( 10 * sqrt(2) ) / 2 ]^2
A = π * [ 5 * sqrt(2) ] ^2
A = π * 25 * 2
A = 50π
So the area of the outer circle is 50π.
Cheers.
X +6= 10 what does x =
Answer:
x = 4
Step-by-step explanation:
[tex]x + 6 = 10 \\ x = 10 - 6 \\ x = 4[/tex]
Help please and thank you. ❤️
Answer:
-3(x + 6)(x + 2)
Step-by-step explanation:
FACTOR
-3(x² + 8x + 12) FIND TWO #'S THAT ADD TO 8 AND MULTIPLIES TO 12
-3(x + 6)(x + 2)
the equation of a and 8 number
Answer:
8
Step-by-step explanation:
This is because the expression is already in decimal form
The cable is 10 feet above the roadway at horizontal distances of about from the left support.
Answer:21ft and 79ft
Step-by-step explanation:
Answer:
21 and 79 ft
Step-by-step explanation:
If a biker is riding at 14 miles per hour, and he had been riding for 4 hours in the past 3 days, which unit of measure best fits the distance the biker has ridden
Answer: miles
because hes measuring in miles and i answered this same question today
Simplify: [tex]\frac{1}{(x+3)(x+4)} +\frac{2}{(x+4)(x+5)}[/tex]
Answer:
[tex]\frac{3x+11}{(x+3)(x+4)(x+5)}[/tex]
Step-by-step explanation:
Before adding we require the fractions to have a common denominator.
Multiplying the numerator/ denominator of the first fraction by (x + 5)
Multiplying the numerator/ denominator of the second fraction by (x + 3)
= [tex]\frac{x+5}{(x+3)(x+4)(x+5)}[/tex] + [tex]\frac{2(x+3)}{(x+3)(x+4)(x+5)}[/tex]
Now add the numerators leaving the common denominator
= [tex]\frac{x+5+2x+6}{(x+3)(x+4)(x+5)}[/tex]
= [tex]\frac{3x+11}{(x+3)(x+4)(x+5)}[/tex]
1=x+15 so I’m stuck on this
Answer:
-14
Step-by-step explanation:
Solve for x. Image is below.
Answer:
44
Step-by-step explanation:
180-48/3 to find the value of x
oceanside bike rental shop charges a 14 dollar fixed fee plus 7 dollars an hour for renting a bike. Tim paid 49 dollars to rent a bike. How many hours did he pay to have the bike checked out?
Answer:
5 hours
Step-by-step explanation:
49 - 14 = 35 and 35 ÷ 7 = 5
what is the answer to this equation 5r+2<17
Answer:
r < 3
Step-by-step explanation:
Step 1: Write out inequality
5r + 2 < 17
Step 2: Subtract 2 on both sides
5r + 2 - 2 < 17 - 2
5r < 15
Step 3: Divide both sides by 5
5r/5 < 15/5
r < 3
In this case, r has to be smaller than 3. So anything like -2, -15, or even -12413573875942 works as r, as long as it's smaller than 3.
During a trip Sara knits a scarf at the rate of 469 millimetre everyday if her trip lasts 8 days how much of the scar will she have knitted by the end of the trip
Answer:
3752mm or 3752 millimeter
Step-by-step explanation:
We are told in the question that Sara knits 469 mm everyday.
Hence, this can be expressed as:
1 day, she knits = 469 mm
8 days =
Cross Multiply
469mm × 8
= 3752mm
Therefore the amount of scarft she would have knitted after 8 days = 3752mm
Why is the equation y = 5x - 10 not proportional?
Answer:
x=2
Step-by-step explanation:
to find x- intercept substitute y=0
move variable to the left hand side and change its sign -5x=-10
then divide both sides of the equation by -5
and the final answer is x=2
hope this helps!
I need help because I don’t know what they are asking
Answer:
16x -2
Step-by-step explanation:
You know how to compute the perimeter of a rectangle of length L and width W:
P = 2(L+W)
Here, you're asked to use the given algebraic expressions for length and width and simplify the result of putting those in the perimeter formula.
P = 2((5x-2) +(3x+1))
P = 2(8x -1)
P = 16x -2 . . . the perimeter of the rectangle
You were wrong the answer was -6, -2,2,6
Answer:
ummm
Step-by-step explanation:
Anybody can help ?? 6-3d=5(2-d)
Answer:
d = 4
Step-by-step explanation:
6-3d=10-d
-2d=4
divide d by -2
the answer is 4.
Answer:
6-3d=10-5d...Multiplying 5 with (2-d)
5d-3d=10-6....Taking - 5d to left and writing it +5d and Taking +6 to right and making it - 6
2d=4...Subtracting as required
d=4/2
d=2....Normal division
what is the answer to 7x-35=30+6x
Answer:
x=65
Step-by-step explanation:
you have to get all variables to one side so you would subtract 6 from seven getting one and then add 35 to 30 giving you 65 :)
Answer:
x = 65
Step-by-step explanation:
7x - 35 = 30 + 6x First subtract 6x from both sides
x - 35 = 30 Then add 35 to both sides
x = 65
Jim and Lynn were asked to find the coordinates of the midpoint of the segment whose endpoints are R (−15, −8) and S (−5, −2). Jim used point S as ( x 1 , y 1 ). Lynn said he had to use point R as ( x1 , y 1 ). Who is correct? Explain.
Answer:
Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result.
Step-by-step explanation:
We must remember that location of midpoint of any line segment can be determined by using this formula in function of the endpoint locations:
[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right)[/tex]
Where:
[tex]x_{M}[/tex], [tex]y_{M}[/tex] - Location of midpoint, dimensionless.
[tex]x_{R}[/tex], [tex]y_{R}[/tex] - Location of endpoint R, dimensionless.
[tex]x_{S}[/tex], [tex]y_{S}[/tex] - Location of endpoint S, dimensionless.
Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result. That is:
[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right) = \left(\frac{x_{S}+x_{R}}{2}, \frac{y_{S}+y_{R}}{2} \right)[/tex]
set up and solve an equation for each problem below.
Answer:
Step-by-step explanation:
123+4 =127
Solve for n nn. ( 3 3 ) 2 = n 6 (3 3 ) 2 =n 6 left parenthesis, 3, cubed, right parenthesis, squared, equals, n, start superscript, 6, end superscript n = n=n, equals
Answer:
3Step-by-step explanation:
given the expression (3³)² = n⁶, we are to find the value of n.
To do that we will apply one of the laws of indices shown
[tex](a^m)^n = a^{mn}[/tex]
Applying the law to the question
(3³)² = n⁶
[tex]3^{3*2} = n^6\\\\[/tex]
[tex]3^6 = n^6\\\\[/tex]
Since the power of both values at both sides are equal, they will cancel out to give;
[tex]3 = n[/tex]
Hence the value of n is 3
its 2
N=2
and i know this since i got it wrong and it showed me the correct answer :)
2 i hopeSimplify the expression. Show your work. 9-7(-3x-4)+8(5-5x) Thanks!
Step-by-step explanation:
(-3x-4) is -12. -12
(5-5x) is x. x
9-7 is 2. 2
+8. +8
-2+x
9+24x+4+ 40-40x
53-16x