1: you can keep mixed numbers when performing multiplication or division.-----> true
2: numerators must be multiplied by numerators and denominators must be multiplied by denominators.------>false
3: You must convert mixed numbers into improper fractions before multiplying or dividing. ------> false
4: The denominators MUST be the same. -----> false
Set up a proportion and solve.
If 4 containers of yogurt cost $2.00, find the cost of 5 containers of yogurt.
Five containers of yogurt will cost what?
Answer: $2.5 for 5 containers of yogurt
Step-by-step explanation:
To set up a proportion for this problem, we will have the 4 containers on the left with the 5 containers on the right and the container amount in the numerator with the dollar amount in the denominator. Let x be the unknown amount that we are solving for.
[tex]\dispalystyle \frac{4\text{ containers}}{\$2} =\frac{5\text{ containers}}{\$x}[/tex]
Now, we will cross-multiply and isolate the variable using inverse operations.
4 * x = 2 * 5
4x = 10
x = $2.5
Enrique has found that sales of laptops are 5% of his store’s total sales. Let x represent the store’s sales of laptops in a month. Write an equation that represents the store’s predicted total sales y for that month.
Answer:
20x = y
Step-by-step explanation:
the sales of laptops makes 5% of his sales, so you can estimate his total sales of a month if you know his sales of laptops of the same month. This is done by multiplying the amount of sales of laptops that month, x, by 20. You do this because 5% x 20 = 100%.
Please help I’ll mark you as brainliest if correct!!
Answer:
23 remainder 13
Step-by-step explanation:
18 goes into 427 23 times with a remainder of 13
Answer:
The quotient of 427 and 18, the ratio of 427 and 18, as well as the fraction of 427 and 18 all mean (almost) the same:
427 divided by 18, often written as 427/18.
The number 427 is called the numerator or dividend, and the number 18 is called the denominator or divisor.
Welcome to 427 divided by 18, our post which explains the division of four hundred and twenty-seven by eighteen to you.
Step-by-step explanation:
Recall the Pythagorean theorem, , where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse. Apply the Pythagorean theorem to right triangle . Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. By counting square units, the length of side is 8 units, and the length of side is units. By the Pythagorean theorem, the length of the hypotenuse, side , is units.
Supposing that the other square has a length of 6 units, applying the Pythagorean Theorem, it is found that:
The length of the hypotenuse side is of 10 units.
What is the Pythagorean Theorem?The Pythagorean Theorem is a geometry axiom that relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In the context of this problem, we have that the legs have lengths defined as follows:
One leg is of 6 units.The other leg is of 8 units.Hence the length of the hypotenuse can be found as follows:
h² = 6² + 8²
h² = 36 + 64
h² = 100
h = sqrt(100)
h = 10 units.
What is the missing information?
This problem is incomplete and could not be found on any search engine, hence we are going to suppose that the other leg of the triangle has a length of 6 units.
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yesssssssssssssssssssssss
Answer:
Yes?
Step-by-step explanation:
Did you figure out a problem and you are celebrating?
List the angles in order from the largest to the smallest for triangle ABC AB=14AC=15BC=16
Explanation
An image of triangle ABC can be seen below;
The largest angles are the angles with the longest sides. Therefore from largest to smallest we will have
[tex]\angle A,\angle B,\angle C[/tex]Answer: Option A
Determine the end behavior of the graph of the function. f(x)=(x+7)(x-6)^2
Using limits, the end behavior of the function f(x) = (x + 7)(x - 6)² is given as follows:
lim x -> -∞ f(x) = -∞.lim x -> ∞ f(x) = ∞.How to find the end behavior of a function?To find the end behavior of a function f(x), we have to find the limits of f(x) as x goes both to negative infinity and to positive infinity.
For this problem, the function is given as follows:
f(x) = (x + 7)(x - 6)²
As x goes to infinity, we consider only the highest exponent of the function, hence:
f(x) = x³.
Then the limits that define the end behavior of the function are given as follows:
lim x -> -∞ f(x) = (-∞)³ = -∞. (negative number with odd exponent, keeps the negative).lim x -> ∞ f(x) = (∞)³ = ∞.More can be learned about limits and end behavior at https://brainly.com/question/27165263
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Delaney's internet provider charges $14.95 per month plus $5.75 for each gigabyte of data she stores in the cloud a. write an equation to model the cost per month for the situation b. what will the dalneys bill for January be if she stores 8 gigabytes of data in the cloud that Month ?
Answer: (I know this is not college work, but whatever.) [tex]y=14.95x+5.75[/tex] is the answer.
answer the unknown Angles
Answer:
p=45°, q=45°, s=112.5°
Step-by-step explanation:
Because the triangle is an isosceles right triangle, [tex]p=q=45^{\circ}[/tex].
In the top triangle, because of the isosceles triangle, the other two angles are each 67.5°.
Therefore, because angles that add to form a straight angle add to 180°, s=112.5°.
Information is given about a polynomial f(x)
whose coefficients are real numbers. Find the
remaining zeros of f.
Degree 4; zeros: i, - 6+ i
The remaining zero(s) of fis(are)
(Use a comma to separate answers
as needed.)
Answer:
Step-by-step explanation:
Find the value of x and y need answers right now
○ x=15,y=12
○ x=14,y=11
○ x=14,y=12
○ x=15y=11
If 1/2 p = -5, then the value of p is
(a)-10
b) 10 c) 0 d) 2
Answer:
a
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] p = - 5 ( multiply both sides by 2 to clear the fraction )
p = 2 × - 5 = - 10
Answer: a -10
Step-by-step explanation:
[tex]\frac{1}{2} *\frac{-10}{1}[/tex]
-10 divided by 2 is -5
Solve the equation for y. 5x + y = 9
Isolate y.
5x + y = 9
5x + y - 5x = 9 - 5x
y = 9 - 5x
the expression (x-6)² is equivalent to (1) x² - 36(2) x² - 12x +36 (3) x² + 36(4) x² + 12x +36
the expression (x-6)² is equivalent to
(1) x² - 36
(2) x² - 12x +36
(3) x² + 36
(4) x² + 12x +36
______________________
(x-6)²= ( x - 6) ( x - 6)= x^2 -6x - 6x + 36 = x² - 12x +36
______________________
Do you have any questions regarding the solution?
an item is 65$ and is 20% off what is the new price
Answer: $52
Step-by-step explanation:
Answer:
$52
Step-by-step explanation:
Translate the sentence into an EQUATION
Answer:
4c+8 = 2
Step-by-step explanation:
Making an equation
Eight more than ( than means it comes after the next part)
the product of a number and 4 (Product means multiply)
4c
Eight more than (more than means add)
4c+8
is equal to 2 means equals
4c+8 = 2
A yoga studio charges a $140 yearly fee for membership plus $15 for each class. What is the average total cost per class if a studio member takes 50 classes per year?
The Average total cost per class if a studio member takes 50 classes per year will be 17.8$
What are average?The average can be calculated by dividing the sum of observations by the number of observations.
Average = Sum of observations/the number of observations
Given that A yoga studio charges a $140 yearly fee for membership plus 15 dollars for each class.
Yearly charge = 140 $
Charge per class = 15 $
The Number of classes attended by; studio members per year = is 50
We want to find the average total cost per class for this member for a year.
The Total charge = Yearly charge + Number of classes attended x Charge per class
Total charge = 140 + 50 x 15
Total charge = 140 + 750
Total charge = 890$
Than the Average total cost per class =890/ 50
= 17.8
Therefore, the Average total cost per class, if a studio member takes 50 classes per year, will be 17.8$
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please help me please
Observe that the sequence increases by adding three units. It's an arithmetic sequence.
Let's use the arithmetic sequence formula.
[tex]f(n)_{}=f(1)_{}+(n-1)d[/tex]Where, f(1) = 7, d = 3. Let's replace these values.
[tex]\begin{gathered} f(n)=7+(n-1)\cdot3 \\ f(n)=7+3n-3 \\ f(n)=3n+4 \end{gathered}[/tex]Hence, the answer is D.What is the value of the expression? (−52)2+3^3/4
Answer:
If [tex]3^\frac{3}{4}[/tex] , ≈ -101.7205
If [tex]\frac{3^3}{4}[/tex] , = -389/4
Step-by-step explanation:
If [tex]3^\frac{3}{4}[/tex] :
[tex](-52)2+3^{\frac{3}{4} } =[/tex]
[tex]-104+\sqrt[4]{3^{3} }=-104+\sqrt[4]{27}=-101.7205[/tex]
If [tex]\frac{3^3}{4}[/tex] :
[tex](-52)2+ \frac{3^3}{4} =[/tex]
[tex]-104+\frac{27}{4} =-\frac{416}{4}+\frac{27}{4} =-\frac{389}{4}[/tex]
Fill in the blank with a value so that the solution will be as indicated. Each blank can be a different value. Then explain how you know.
Considering the given systems of equations, the expressions to obtain the desired results are filled as follows:
No solution: -2x + 5 + 11x = 9x + 6. (11 and 6 fill the blanks). One solution: -2x + 5 + 8x = 9x + 6. (8 and 6 fill the blanks). Infinitely many solutions: -2x + 5 + 11x = 9x + 5. (11 and 5 fill the blanks). When does a system of equations has no solution?A system of equations will have no solution if it can be written in the following format:
0x = constant different of 0.
Hence:
-2x + 5 + 11x = 9x + 6(the final number can be any number different of 5)
As:
9x + 5 = 9x + 6
0x = 1 -> division by 0 does not exist, hence no solution.
When does a system of equations has one solution?A system of equations will have one solution if it can be written in the following format:
cx = d, c different of 0.
Hence:
-2x + 5 + 8x = 9x + 6(the final number on the left side can be any number different of 11)
6x + 5 = 9x + 6
-3x = 1
x = -1/3 (lone solution).
When does a system of equations has infinitely many solutions?A system of equations will have infinitely many solutions if it can be written in the following format:
0x = 0.
Hence:
-2x + 5 + 11x = 9x + 5
9x + 5 = 9x + 5
0x = 0 (0/0 results in any value).
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Can you please help me, I'm not really good at geometry, please and thank you!
Circle and Point
Option B and D are the correct answers.
need help on #3
picture attached
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
What is a formula for linear equations?A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b).
How is a linear equation solved?Linear Equation Solvingclear decimals or fractions.Remove parentheses from each side of the equation and combine similar phrases to make it simpler.Remove the variable term from the equation's other side.Divide each side of the equation to find the solution.Verify your response.What are examples of linear equations?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 10x+14y=50. When an equation is given in this format, finding both intercepts is rather simple (x and y).
What do a simple equation and a linear equation mean?When an equation of the form an x + b = 0, where a, b Q and, it is said to have one variable and be linear. A simple equation is a linear equation with a single variable. The solution of the equation is the value of the variables that makes the equation true, i.e., makes L.H.S. equal to R.H.S.
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what does B equal???
Answer:b = 2
Step-by-step explanation:
Find the value
-2+5/3
Answer: [tex]\Large\boxed{-\frac{1}{3} }[/tex]
Step-by-step explanation:
Given expression
[tex]-2+\dfrac{5}{3}[/tex]
Convert into fraction form
[tex]=-\dfrac{2}{1} +\dfrac{5}{3}[/tex]
Multiply 3 on both the numerator and denominator of 2
[tex]=-\dfrac{2\times 3}{1\times 3} +\dfrac{5}{3}[/tex]
[tex]=-\dfrac{6}{3} +\dfrac{5}{3}[/tex]
Add the numerator
[tex]=\dfrac{-6+5}{3}[/tex]
Simplify by addition
[tex]=\Large\boxed{-\frac{1}{3} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
One of the members of staff from the software organisation travels to Birmingham on a business trip. She pays for her ticket with three crisp £25 notes at the ticket office and is given £10.50 in change. Assuming that she bought a return ticket and that each leg of the journey cost the same amount, how much was one leg of the journey?
The cost of the one leg of the journey is 32.25 pounds.
Given that:-
Number of 25 pounds notes given by the member of staff travelling to Birmingham = 3
Change given to her = 10.50 pounds
It is assumed that she bought the return ticket as well and that each leg of the journey cost the same amount.
We have to find the cost of one leg of the journey.
Let the cost of one leg of the journey be x pounds.
Hence, we can write,
2x + 10.50 = 25*3
2x + 10.50 = 75
2x = 75 -10.50
2x = 64.50
x = 64.50/2
x = 32.25 pounds.
Hence, the cost of one leg of the journey is 32.25 pounds.
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Hello, I need some assistance with this homework question please for precalculusHW Q37
Given the function, we are asked to find a graph that is symmetric about the y-axis.
Explanation
Functions can be symmetrical about the y-axis, which means that if we reflect their graph, about the y-axis we will get the same graph. In the above question, the answer is
Answer:
[tex]y=|x|[/tex]To keep Paul Senior from blowing a gasket, Paul Junior must deviate from the ideal area of the disk, which is 1000 in2, by less than ±4 in2. How close to the ideal radius must the Flowjet (the machine that cuts the disk) be to maintain tranquility at OCC? Use 3 significant figures to report your answer.
The area of a circle with radius r is given by the formula:
[tex]A=\pi r^2[/tex]If we change the value of r by a small amount Δr, the new value of the area will be:
[tex]\begin{gathered} A+\Delta A=\pi(r+\Delta r)^2 \\ =\pi(r^2+2r\Delta r+\Delta r^2) \end{gathered}[/tex]We can neglect the term Δr^2 since we are assuming that Δr is a very small quantity. Then:
[tex]A+\Delta A=\pi r^2+2\pi r\Delta r[/tex]Substitute A=πr^2 and isolate Δr from the equation:
[tex]\begin{gathered} \Rightarrow\pi r^2+\Delta A=\pi r^2+2\pi r\Delta r \\ \Rightarrow\Delta A=2\pi r\Delta r \\ \Rightarrow\Delta r=\frac{\Delta A}{2\pi r} \end{gathered}[/tex]Assuming that the ideal area of the disk is 1000in^2, calculate the ideal radius of the disk:
[tex]\begin{gathered} A=\pi r^2 \\ \Rightarrow r^2=\frac{A}{\pi} \\ \Rightarrow r=\sqrt[]{\frac{A}{\pi}} \\ \Rightarrow r=\sqrt[]{\frac{1000in^2}{\pi}} \\ \Rightarrow r=17.84124116\ldots in \end{gathered}[/tex]Substitute the value of r as well as the variation on the value of the area ΔA=4in^2 to find the variation in the value of the radius:
[tex]\begin{gathered} \Delta r=\frac{4in^2}{2\pi(17.84124116\ldots in)} \\ =0.03568248232\ldots in \end{gathered}[/tex]Up to 3 significant figures, the variation in the value of the radius must be less than:
[tex]0.0357in[/tex]Solve for a
6s + 50s - 60 = 5428
Answer:
s= 98
Step-by-step explanation:
Answer: s=98
Step-by-step explanation: 6s+50s-60=5428
Combine like terms: 56s-60=5428
Move -60 to the other side: 56s=5488
Divide: 5488/56 =98
s=98
Bakery has 46 batches of cupcakes each week. How many individual cupcakes do they make each week
Answer:
1,104 cupcakes
Step-by-step explanation:
46 batches, 24 cupcakes per batch.
Multiplying 46 by 24 gives 1,104 cupcakes.
1/2 + P = -3 help I can’t figure this out and I don’t know how to do it
Answer:
p = -3 1/2
Step-by-step explanation:
1/2 - 1/2 + P = -3 - 1/2
-3 - 1/2 would be -3 1/2
So,
p = -3 1/2
Answer:
P= -3.5
Step-by-step explanation:
1/2+P=-3
move 1/2 over
P=-3-1/2
simplify
P=-6/2-1/2
P=-7/2=-3.5=-3 1/2