What should I do to get both numeric terms are on the right side of the equation. 3/2t - 4/3t - 16 = - 6
Answers
Answer:
i think you have to take_16 to the right side.
Related Questions
Lines with the same slope and a different y intercept never intersect.
TRUE OR FALSE?
Answers
Answer:
True
Step-by-step explanation:
Lines with the same slope and different y-intercepts are considered parallel. As they extend forever, the lines will never intersect.
You know from class that 23 people can comfortably fit standing in 32 square feet. You attend an outdoor concert that has a standing area for observers that is 450 feet by 650 feet. How many people can comfortable stand in this observation area?
A) 2,102 people
B) 21,027 people
C) 210,234 people
D) 2,102,340 people
Answers
Answer:
C
Step-by-step explanation:
To do this first find how many square feet are in the area. You can do this by multiplying 450 * 650 = 292500.
Next, divide by 32 to find how many sections of 23 people there are.
292500 / 32 = 9140.625
Lastly, multiply by 23 to find how many people can stand in the area.
9140.625 * 23 = 210,234.375 which rounds to C. 210,234 people
A supermarket normally sells 20 eggs for £2.60. In a sale, the cost of the eggs is reduced by 30%. Work out how much 180 eggs cost in the sale. Give your answer in pounds (£).
Answers
Answer:
£16.38
Step-by-step explanation:
To calculate the cost of 180 eggs during the sale, we first need to determine the cost of a single egg and then apply the 30% discount.
The initial cost of 20 eggs is £2.60. To find the cost of a single egg, we divide the total cost by the number of eggs:
\(\frac{\£2.60}{20} = 0.13\)Now, we need to apply the 30% discount to the cost of a single egg:
\(\£0.13 \times (1 - 0.30) = \£0.13 \times 0.70 = \£0.091\)The cost of a single egg during the sale is £0.091. To find the cost of 180 eggs, we multiply the cost of a single egg by the number of eggs:
\(\£0.091 \times 180 = \£16.38\)Therefore, the cost of 180 eggs during the sale is £16.38.
________________________________________________________
f ( x ) = − 2 x + 9, find f(1).
Answers
Answer: f(1) = 7
Step-by-step explanation:
f (x) = -2x + 9
f(1) = -2(1) + 9
f(1) = -2 + 9
f(1) = 7
Answer:
4
Step-by-step explanation:
f(1) = -2x + 9
-8 = -2x
x = 4
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
Answers
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
An 8-cylinder Crown Victoria gives 18 miles per gallon in city driving and 21 miles per gallon in highway driving. A 300-mile trip required 15.5 gallons of gasoline. How many whole miles were driven in the city?
Answers
Answer:
Step-by-step explanation:
let he drives at 21 m/hr=x gallons
gas used at 18 m/hr=15.5-x
21x+18(15.5-x)=300
divide by 3
7x+6(15.5-x)=100
7x+93-6x=100
x=100-93=7 gallons
gas used in city=15.5-7=8.5 gallons
distance travelled in city=18×8.5=153 miles
Cariyah placed $2000 into a savings account with 3.5% interest, compounded annually. Write Cariyah's total savings S(t) as a function of time in years, t.
S(t) =
Answers
Answer:
450
Step-by-step explanation:
Part 1: Write the equation of the graphed line in slope intercept (y= mx + b).
Answers
Answer:
1. y = 2x - 5
2. y = (-1/3)x
3. y = -4
4. y = (-3/4)x + 7
5. x = 6
6. y = -3x - 8
Step-by-step explanation:
1.
Point 1: (0, -5) Point 2: (-1, -7)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -7 - (-5) -7 + 5 -2
m = ------------ = ----------- = ---------- = ------ = 2
x₂ - x₁ -1 - 0 -1 -1
y - y₁ = m (x - x₁)
y - (-5) = 2(x - 0)
y + 5 = 2x - 0
-5 -5
y = 2x - 5
----------------------------------------------------------------------------------------------------------
2.
Point 1: (0, 0) Point 2: (3, -1)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -1 - 0 -1
m = ------------ = ----------- = ----------
x₂ - x₁ 3 - 0 3
y - y₁ = m (x - x₁)
y - (0) = (-1/3)(x - 0)
y - 0 = (-1/3)x - 0
-0 -0
y = (-1/3)x
----------------------------------------------------------------------------------------------------------
3.
Point 1: (0, -4) Point 2: (-5, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - (-4) -4 + 4 0
m = ------------ = ----------- = ---------- = ------ = 0
x₂ - x₁ -5 - 0 -5 -5
y = -4
----------------------------------------------------------------------------------------------------------
4.
Point 1: (0, 7) Point 2: (4, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 7 -3
m = ------------ = ----------- = ----------
x₂ - x₁ 4 - 0 4
y - y₁ = m (x - x₁)
y - 7 = (-3/4)(x - 0)
y - 7 = (-3/4)x - 0
+7 +7
y = (-3/4)x + 7
----------------------------------------------------------------------------------------------------------
5.
Point 1: (6, 0) Point 2: (6, 3)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 3 - 0 3
m = ------------ = ----------- = ---------- = undefined
x₂ - x₁ 6 - 6 0
x = 6
----------------------------------------------------------------------------------------------------------
6.
Point 1: (0, -8) Point 2: (-4, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - (-8) 4 + 8 12
m = ------------ = ----------- = ---------- = ------ = -3
x₂ - x₁ -4 - 0 -4 -4
y - y₁ = m (x - x₁)
y - (-8) = -3(x - 0)
y + 8 = -3x - 0
-8 -8
y = -3x - 8
I hope this helps!
>>>>>>>>> Use graphs and tables to find the limit and identify any vertical asymptotes of the function. limit of 1 divided by the quantity x minus 10 as x approaches 10 from the left
Answers
Answer:
\(\displaystyle \lim_{x \to 10^-} \frac{1}{x - 10} = -\infty\)
General Formulas and Concepts:
Calculus
Limits
Right-Side Limit: \(\displaystyle \lim_{x \to c^+} f(x)\)Left-Side Limit: \(\displaystyle \lim_{x \to c^-} f(x)\)Graphical Limits
Step-by-step explanation:
If we graph the function, we can see that as we approach 3 from the left, we go towards negative infinity.
∴ \(\displaystyle \lim_{x \to 10^-} \frac{1}{x - 10} = -\infty\)
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x 0 3 6 9 y 0 2 4 6
Answers
The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The table is given below.
x y
0 0
3 2
6 4
9 6
The variable 'y' is directly proportional to the variable 'x'. Then we have
y ∝ x
y = k x
At (9, 6), the value of the constant 'k' is given as,
6 = 9k
k = 6 / 9
k = 2/3
The proportionality is given as,
y = (2/3) x
The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.
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You purchase a stock at $100 per share. It drops 40% the next day; however, a week later, it increases in value by 40%. If you sell it, will you break even? Explain your answer.
Answers
Answer:
No
Step-by-step explanation:
You start off with $400 and it drops 40%. Then the price dropped all the way down to $240. If it goes up another 40% of 240, that'll be $336. So you lost around $64
In this exercise we have to use our knowledge of finance to analyze the given situation and identify if a break even occurs, so we have:
Yes, you will have a break even, as you lose 16 dollars per sale.
First we have to analyze what the break even is, this would be:
In commerce and trade, particularly cost accounting, the break-even point (BEP) exist the point at that cost or expense and profit exist equal: there happen no total amount of money lost or gain, and individual bear "crushed even". In the linear case the break-even point happen effective the established costs detached for one contribution room around something for one.Returning to the question, we have that:
\(100-40\%= 60\\60+40\%=84\\100-84=16\)
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-2a-6a-9=-9-6a-2a
help please g
Answers
Answer:
the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Step-by-step explanation:
To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:
Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.
Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.
Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).
In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
Answers
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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Convert the angle 0=100 degrees to radians. What’s the exact answer??
Answers
Please help! A rectangle with a perimeter of 54 yards has a length and width in a ratio of 8:1. What are
the length and width?
length =
yards
width =
yards
Answers
Answer:
Length = 24 yards
Width = 3 yards
Step-by-step explanation:
First you find the perimeter of the rectangle assuming It's length is 8 and its width is 1. The perimeter is then 18. Lets call this rectangle A
Now you divide 54 by 18 which gives you 3. That means the rectangle is 3 times the size of the rectangle A.
So to find the length and width you do this:
Length: 8 X 3 = 24 yards
Width: 1 X 3 = 3 yards
see the attached sheet.
I hope it helps you .
please help to find the answer
Answers
Answer:
\frac{2\sin(x)}{2\left(\cos(x)\right)^{3}-\sin(2x)} and \frac{2\sin(x)}{2\left(\cos(x)\right)^{3}+\sin(2x)}
Given f(x) = x^2 + 4x – 3, find f( – 3).
Answers
A. -6.
When you plug in -3 for x. simplify to get -6
i need help with these 2
Answers
Answer:
Step-by-step explanation: Hey for the second one I got y = -3/4x -0.5 I'm not sure if its correct though sorry if not
ill try my best to explain my solution though
1. From the parallel equation (3x + 4y = 12) all we need to do is find the slope
So the easiest way to do so is to put the said equation in y-intercept form
y=mx +b
m= slope
b= y intercept
so 1. 3x + 4y = 12
=
4y = 12-3x
divide that by 4 to get only y
y=3-3/4x
-3/4 is our slope
y=-3/4x+b
than we have a point -2, -2
if we put -2 for y
-2=-3/4x+b
and then we put our -2 for x
-2 = -3/4 * -2 + b
=
-2 = -1.5 +b
b=-0.5
Answer : y=-3/4x-0.5
After one quarter (year), the interest on a principal of $1000 is $8.75.
Find the rate. Write your answer as a percent.
Answers
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)
11-2n and 4-5n
Solve it
Answers
Answer:
\(n=2\frac{1}{3}\)
Step-by-step explanation:
Im assuming you mean
\(11-2n=4-5n\)
Solve
\(11-2n=4-5n\)
add \(5n\) to both sides
\(11+3n=4\)
subtract \(11\) from both sides
\(3n=-7\)
divide both sides by 3
\(n=2\frac{1}{3}\)
If g(x)=x+1/x-2 and h(x) = 4 – x, what is the value of (9*h)(-3)?
Answers
9514 1404 393
Answer:
(g·h)(-3) = 2.8
Step-by-step explanation:
Given:
g(x) = (x +1)/(x -2)
h(x) = 4 -x
Find:
(g·h)(x) = g(x) × h(x) for x = -3
Solution:
g(-3) = (-3+1)/(-3-2) = -2/-5 = 2/5
h(-3) = 4 -(-3) = 4 +3 = 7
Then the product is ...
g(-3)·h(-3) = (2/5)(7) = 14/5 = 2.8
(g·h)(-3) = 2.8
Solve the equation 10 = 3x -6
Answers
_
3
x=16/3
Step-by-step explanation:Add 6 to both sides10=3x-6
10+6=3x-6+6
Add the numbers10+6=3x-6+6
16=3x-6+6
Take away -6 from 616=3x-6+6
Divide both sides by the same factor16=3x
16/3 3x/3
Cancel terms that are in both the numerator and denominator16/3 3x/3
16/3
Answer: x=16/3Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?
Answers
Answer:
Mr. Esposito is taller By 8 inches
Step-by-step explanation:
5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.
(71-63=8)
DON'T FORGET TO DOUBLE-CHECK!
Answer:
Mr. Esposito is taller by 8 inches
Step-by-step explanation:
Mr. Esposito
12x5 = 60 + 11 = 71
Mrs. Humbert
63 inches = 5 foot and 3 inches
71 - 63 = 8
in five minutes 25 cars, 8 trucks, 12 vans and 2 motorcycles drove past the house. Which
two vehicle types can the ratio 3:2 be used to describe?
Answers
Answer:
12 vans : 8 trucks
Step-by-step explanation:
12/3=4
8/2=4
therefore this would be your answer.
25/3= 8.33 25/2=12.5
2/3- 0.66 2/2=1
8/3= 2.66
12/2=6
Hope this helps
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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find the area of the circle 8
Answers
Answer:
50.24 in²
Step-by-step explanation:
\(A = \frac{1}{4} \times (22/7) \times 8^2 = 0.25 \times 3.14 \times 64\\= 50.24\)
➲ Hope this helps.
➲ Wish you the best of luck. :)
diameter of circle= 8 inch.
so, radius of circle= d/2 = 4 inch
now
area of circle=πr²
22/7 × (4)²
50.24 inc.
What are the domain and range of the function f(x)= Squrt x-7+9
Answers
Answer:
domain: x ≥ 7range: f(x) ≥ 9Step-by-step explanation:
The domain is the set of values of x for which the function is defined. Those are the values of x that make the square root argument non-negative:
x -7 ≥ 0
x ≥ 7
__
Since the square root cannot be negative, the sum of it and 9 cannot be less than 9. The range is ...
f(x) ≥ 9
Answer:
domain: x ≥ 7
range: f(x) ≥ 9
HELP FAST!!!
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x-6y=6
Answers
Answer:
Slope intercept form:
8x-6y=6
You should bring the 8x to the other side of the equal sign.
-6y = 6-8x
Now you need to divide the six to every term to leave the y by itself.
y = 4/3x-1
y = 4/3x-1 IS THE SLOPE INTERCEPT FORM.
Stacy is selling tickets to the school play. The tickets are $7 for adults and $4 for children she sells twice as many adult tickets as children’s tickets and brings in a total of $270. How many of each kind of ticket did she sell?
Answers
Stacy sold 15 children tickets and 30 adult tickets.
The tickets are $7 for adults and $4 for children.
She sells twice as many adult tickets as children tickets and bring in a total of $270.
Therefore,
let
number of children ticket sold = x
number of adult ticket sold = 2x
7(2x) + 4(x) = 270
14x + 4x = 270
18x = 270
x = 270 / 18
x = 15
The number of children ticket sold = 15
The number of adult ticket sold = 15 × 2 = 30
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The formula for an account that earns
compound interest is Pt = P0 ⋅ (1 + r)
t
,
where Pt
represents the balance in the
account after t years, P0 represents the
initial amount of the deposit, and r
represents the interest rate.
Carrie is considering depositing $1480 into
an account that pays compound interest.
How much will be in her account if she
receives 1.9% compound interest for
10 years? Round to the nearest cent.
Answers
After 10 years with a Compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.
The amount that will be in Carrie's account after 10 years with compound interest, we can use the formula Pt = P0 ⋅ (1 + r)^t.
Given:
P0 = $1480 (initial deposit)
r = 1.9% = 0.019 (interest rate as a decimal)
t = 10 (number of years)
Substituting these values into the formula, we get:
Pt = $1480 ⋅ (1 + 0.019)^10
Using a calculator, we can evaluate the expression inside the parentheses:
(1 + 0.019)^10 ≈ 1.201223
Now we can calculate the final amount in Carrie's account:
Pt ≈ $1480 ⋅ 1.201223
Pt ≈ $1777.87
Therefore, after 10 years with a compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.
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