Select an equivalent form of this equation: x/12 - 7 = x/4
To solve the equation x/12 - 7 = x/4, multiply all terms by 12 to eliminate the fractions. Simplify the equation and solve for x by isolating the variable.
Explanation:To solve for x, we need to find an equivalent form of the given equation. First, let's get rid of the fractions by multiplying all terms by 12 (the common denominator).
After multiplying, we get 12(x/12) - 12(7) = 12(x/4), which simplifies to x - 84 = 3x.
Next, subtract x from both sides of the equation to isolate the variable. This gives us -84 = 2x.
Finally, divide both sides of the equation by 2 to solve for x. The equation becomes -42 = x. Therefore, an equivalent form of the given equation is x = -42.
Why do you multiply the tax and the money 3.38 aren’t you supposed to add
Kelly has a spinner with 4 equal sections. She spins it 2 times. How many possible outcomes are in the sample space of the experiment?
Answer:
4 times 2 equals 8
Step-by-step explanation:
step by step think in your stomach.
Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.
What are Permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
Given
Kelly has a spinner with 4 equal sections. She spins it 2 times.
How many possible outcomes are in the sample space of the experiment?Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.
Let the outcome are (1, 2, 3, 4)
Then all the outcomes are
(1, 1)(1, 2)(1, 3)(1, 4)
(2, 1)(2, 2)(2, 3)(2, 4)
(3, 1)(3, 2)(3, 3)(3, 4)
(4, 1)(4, 2)(4, 3)(4, 4)
So the total outcome is 16.
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Factor the expression over the complex numbers.
x2+25
Answer:(x+5i) (x-5i) is the right answer
The expression x^2 + 25 can be factored over the complex numbers as (x + 5i) and (x - 5i). This is achieved using the sum of squares formula a^2 + b^2 = (a + bi)(a - bi).
Explanation:The expression you are tasked with factoring is x2 + 25.
This is a sum of squares expression and can be factored using the formula a2 + b2 = (a + bi)(a - bi), where 'i' represents the complex numbers.
So, x2 + 25 can be factored as (x + 5i)(x - 5i).
This is because the square root of 25 is 5, and 'i' represents the imaginary number.
So the factors of the expression x2 + 25 over the complex numbers are (x + 5i) and (x - 5i).
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Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completing?
Two intersecting circles are drawn with a radius in each marked. the image will be linked
An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle
Given options : Two intersecting circles are drawn with a radius in each marked. the image will be linked.
Given options : An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle.
Note. When we join an intersection point of two circles and centers of the circles it would form an equilateral triangle that would be inscribe inside a common portion of both circles..
Therefore, an equilateral triangle inscribed in a circle would be correct option.
She is completing an equilateral triangle inscribed in a circle.
F(n) = 900 - 60(n-1) represent the amount oscar still need to repay on a loan at the beginning of month n .Find the amount oscar pays monthly and the month in which he will make his last payment.
Answer:Each installment will be of 60 and 16th will be the last payment.
Step-by-step explanation:
To find the monthly repayment by Oscar we first find the sequence.
For that first we put [tex] n=1 [/tex] in
[tex] F(n)=900-60(n-1)[/tex]
[tex] F(1)= 900-60(1-1) = 900 [/tex]
Now for [tex]n=2 [/tex]
[tex] F(2)=900-60(2-1)=840[/tex]
For [tex]n=3[/tex]
[tex] F(3)=900-60(3-1)=900-120=780[/tex]
So the sequenxe is 900,840,780......
As the amount is decreasing by 900-840=840-780=60
Therefore each installment will be equal to 60
For last payment amount will become 0
i.e.[tex]F(n) =0[/tex]
[tex] 900-60(n-1)=0[/tex]
[tex] 900-60n+60=0 [/tex]
[tex] 960=60n [/tex]
[tex]n = 960\div60[/tex]
[tex]n = 16 [/tex]
Last month will be 16th
The amount Oscar pays monthly is $900, and he will make his last payment in month 16.
Explanation:To find the amount Oscar pays monthly, we can subtract the amount he repays in each month from the previous month's balance. The formula F(n) = 900 - 60(n-1) represents the remaining amount Oscar needs to repay at the beginning of month n. By plugging in n = 1, we can find the initial balance and the amount he paid that month. To find the month in which he makes his last payment, we can set F(n) to zero and solve for n.
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Four neighborhood children opened their own lemonade stand. The table shows the sales information for each stand, in glasses of lemonade. What was the largest fraction of sales of the stands' inventory?
A. 1⁄2
B. 4⁄7
C. 3⁄4
D. 7⁄12
Answer:
Option C is the answer.
Step-by-step explanation:
Given that four neighborhood children opened their own lemonade stand. The sales by the four were as follows:
A. 1⁄2
B. 4⁄7
C. 3⁄4
D. 7⁄12
We cannot compare these sales as such since they have different denominators.
To compare we find the Least common denominator for all the four first.
2,7,4,12 have lCD = 12(7) = 84
Now make equivalent fractions for all the four.
A. 1⁄2 = 42/84
B. 4⁄7 = 48/84
C. 3⁄4 = 63/84
D. 7⁄12 = 49/84
Now since denominator is the same we compare and find that
C =63/84 is the largest value.
Hence Option C is the answer.
If 1 mile is equal to 1.61 kilometers, how many kilometers are there in 50 miles
There are 80.5 kilometres in 50 miles.
1 mile= 1.61 km
50 miles= x
1x= 50*1.61
x=80.1
80.1 kilometers
A movie cost $3,254,107 to produce.What digit is in the hundred thousands place?
The digit that we have is 3,254,107.
To find out what digits are there at hundred and thousands place we need to find out the digits at the respective places.
From the given digit we can see that (we start counting the places from the right i.e 7)
At units place we have 7
At tens place we have 0
At hundreds place we have 1
At thousands place we have 4
So, we have '1' at hundreds place and we have '4' at thousands place.
Jill's fish weighs 8 times as much as her parakeet. Together they weight 63 ounces. How much does the fish weight
Money that an individual spends is referred to as
A. Investment
B. Liquidity
C. Cash inflow
D. Cash outflow
Cash outflow I think.
A piece of fabric is 1/3 yard by 3 5/8 yards. Irma solves 1/3⋅3 5/8 to find the area of the fabric in square yards. Enter numbers to complete irma's calculation for the area.
For this case we have:
The area of the piece of fabric is given by [tex]A = a * b[/tex]
Where
[tex]a = \frac{1}{3}yards[/tex]
[tex]b = 3 \frac{5}{8}yards[/tex]
Substituting in the formula of the area we have:
[tex]A = \frac{1}{3}* 3 \frac{5}{8}\\[/tex]
[tex]A = \frac{1}{3}* (3 + \frac{5}{8})\\[/tex]
[tex]A = 1 + \frac{5}{24}[/tex]
[tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
Thus, the area of the piece of fabric is given by: [tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
Answer:
[tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
1/3 x 3 5/8 = (1/3 x 3) + (1/3 x 5/8)
= 3/3 + 5/24
= 29/24
FOR THE LOVE OF GOD HELP ME PLEASE!!The trinomial x2 – 3x – 4 is represented by the model.
What are the factors of the trinomial?
( x + 1) and (x - 4)
to factor the trinomial consider the factors of the constant term ( - 4) which sum to give the coefficient of the x-term ( - 3 )
these are - 4 and + 1
x² - 3x - 4 = (x - 4)( x + 1)
Evaluate: 4x (x-2)-3x^2 for x=3
Evaluate: 4x^2-3x+2 for x=2
Simplify -(2x+3y)-4(-x-y)
1.) 12x - 33
2.) 12
3.) -6x + y
Gilbert has 50 drywall screws. He is purchasing more screws. He can purchase up to 6 boxes of screws. Each box of screws contains 200 screws. He can't purchase partial boxes. The function that models the number screws Gilbert has is f(b)=200b+50 f ( b ) = 200 b + 50 , where b is the number of boxes he purchases. What is the practical domain of the function?
Answer:
All integers from 1 to 6 inclusive!
An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. The actual size of the bill is 2.61 inches by 6.14 inches. If the billboard is 48 feet wide, what's the scale of the bill to the billboard? A. 1′ = 8.71″ B. 1′ = 7.81″ C. 1″ = 8.71′ D. 1″ = 7.81′
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches .
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
Ruben bought 6 new book which increased his collection by 12%. How many books did he have?
Answer:
The initial number of books he had=50
The number of books he has after adding new books=56
Step-by-step explanation:
Step 1: Derive formula for percentage increase
The formula for calculating the percentage increase is;
p={(f-i)/i}×100
where;
p=the percentage increase
f=the final number of books he had
i=the initial number of he had
In our case;
p=12%
(f-i)=defines the increase in the number of books=6
i=unknown
Substitute and solve for i;
12%=6/i
(12/100)=6/i
(12/100)×i=6
i=6×100/12
i=50
The initial number of books he had=50
The number of books he has after adding new books=50+6=56
If their food and bevareges cost 25.30 and their is an 8% meals tax how much is the bill
What is the range of f(x)?
{ f(x)| –∞ < f(x) < ∞}
{ f(x)| –∞ < f(x) ≤ 4}
{ f(x)| 4 < f(x) < ∞}
{ f(x)| 0 ≤ f(x) < ∞}
Answer:
best ans is { f(x)| –∞ < f(x) ≤ 4}
Step-by-step explanation:
usually to find the range of a fn, u need to see what the value can be. the graph show only a small range of x values. but u can see f(x) is definitely < 4. so the ans is { f(x)| –∞ < f(x) ≤ 4}
The range of the graph will be (–∞, 4]. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
From the graph, we can conclude that the curve gets saturated at y = 4 and as the value of x approached to infinity, the value of y approach to negative infinity.
The range of the graph will be (–∞, 4].
Then the correct option is B.
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CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!
The square below has an area of 4 - 4x + x^2 square meters.
What expression represents the length of one side of the square?
Side length = ___ meters
Answer:
(2-x) or (x-2)
Step-by-step explanation:
Given that area of a square is 4-4x+x^2
We know that area of a square = side x side = side ^2
Hence side of a square = square root of area
To find side let us take square root of 4-4x+x^2
This can be written as 4-4x+x^2 = 2^2 -2(2)(x)+x^2
Recall the identity a^2-2ab+b^2 = (a-b)^2
Here a = 2 and b = x
Hence square root can be either 2-x if x<2 or x-2 if x>2
Answer is 2-x or x-2
The scale of a model train is 1 inch to 13.5 ft . One of the model trains is 5 inches long what is the length in feet of the actual train car
1 in: 13.5 ft
x5 x5
5 in : 67.5 ft
Answer: 67.5 ft
Which of the following equations describes a line with an x-intercept of 3? A. x + y = −3 B. x − y = −3 C. x = 3
The correct equation which describes a line with an x-intercept of 3 is C. x = 3. This implies a vertical line where the x-value is always 3, regardless of the y-value.
Explanation:In response to your query about which of the following equations describes a line with an x-intercept of 3, the direct answer is C. x = 3. An x-intercept is the point where a line crosses the x-axis. For an equation to have an x-intercept of 3, it means that when y is 0, x equals 3. By plotting this on a graph, y can be any real number, but x will always stay 3. Therefore, the equation x = 3, which option C represents, is the correct description for a line with an x-intercept of 3.
It's important to note that, in terms of linear equations (generally represented as y = mx + b, where m represents the slope and b represents the y-intercept), x = 3 can be perceived as a vertical line that intersects the x-axis at point 3.
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Order this set of numbers from least to greatest: 2.51, 2.3, 2.15
What is the value of this expression? (11,982)^0
Answer: 1
Step-by-step explanation:
Anything to the 0 power is 1, with the exception of 0⁰ = 0
(1,000,000,000)⁰ = 1
[tex](\frac{2}{5})^{0} = 1[/tex]
(0.0012345)⁰ = 1
Danny makes $8.75 per hour and works 32 hours per week but 18 percent is withheld from each paycheck for taxes. If Danny's monthly expenses total $595 per month and he is able to save the rest, approximately how much could Joe save in one year?
the answer should be $4799.20
Why do the ratios of sine and cosine depend upon the angle being a part of a right triangle?
Step-by-step explanation:
Think of a right triangle (refer the attached image). If you increase or decrease the length of one of its legs, while keeping the other leg the same (the hypotenuse will increase as well) here we have increased the length of the perpendicular side. You can see that the *subtending* angle (the angle which is opposite to the increasing leg, x) gets larger, while the *adjacent* angle (the angle with the increasing leg as one of its rays) will decrease.
and we know that:
[tex]\sin x=\frac{AB}{AC}[/tex] and [tex]\cos x=\frac{BC}{AB}[/tex] in both the cases the variation of AB is causing the angles to change hence, the ratios of sine and cosine depend upon the angle being a part of a right triangle.
How is 10 2/3 written as a decimal to the nearest hundreth?
How is 10 2/3 written as a decimal to the nearest hundreth?
Answer is 10.2/3 because you round it to the hundreth?
In 2012,five u.S. Postal stamps cost money 2.20.How much did seven stamps cost
Answer:
$3.08
Step-by-step explanation:
First you have to find how much each stamp costs. So u take 2.20 ÷ 5 = 0.44.
Next you take 0.44 x 7 and you should get $3.08
A local pet store has a total of 72 fish in 9 tanks. Each tank holds the same number of fish. How many fish are in each tank?
There are eight fish in each tank. Because 72 divided by 9 is 8.
The length of a rectangle is 3 inches more than its width if the perimeter is 42 in find the dimensions of the rectangle
The problem uses the perimeter formula. P = 2w + 2l where w is the width, and l is the length.
We know the length (l) is 3 inches longer than it's width (or l = w+3). Substitute w +3 into Perimeter equation.
P = 2w + 2(w+3). That simplifies to P = 4w + 6.
Since P + 42, we have 42 = 4w +6.
With some simple algebra we find that w = 9 and l = 12.