The mystery number is y = 0.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), operations, variables, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Let's assume the mystery number to be y.
When we multiply it by 1, add 5, and finally subtract by 2 we obtain 3.
Using the statement we obtain the expression,
y × 1 + 5 - 2 = 3
y + 5 - 2 = 3
y + 3 = 3
Subtracting 3 from each side of the equation,
y + 3 - 3 = 3 - 3
y = 0
Hence the mystery number is 0.
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you order two tacos and a salad. the salad costs $2.50. you pay 6% sales tax and leave a $3 tip. you pay a total of $13.60. how much does one taco cost?identify an equation that can be used to answer the question.
Answer:
1.25 without the sales tax and tip
Step-by-step explanation:
the answer to the question any help is appreciated
The length of the missing radius of the circle is found as 12 units.
What is defined as the tangent?A tangent is a line drawn out of an external point that passes through a point on a curve in geometry. Tangents are common in everyday life; for example, when riding a bicycle, each point on the circumference of a wheel forms a tangent with the road.For the given question;
As 16 unit line is tangent on the circle, thus it makes 90 degrees angle with the radius of the circle.
The, the triangle formed is right angled triangle.
Using Pythagorean theorem.
H² = T² + R²
Where, H is the longest side called hypotenuse = 20 units.
T is the tangent = 16 units.
R is the radius of the circle.
Putting the values and simplifying.
R² = 20² - 16²
R² = 400 - 256
R² = 144
Taking square root both side,
r = 12 units.
Thus, the length of the missing radius of the circle is found as 12 units.
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write the equation of a parabola with stretch 4 and vertex (-5,0)
A ladder leans against an apartment building at an angle of 40 degrees . The laddies is 12ft. Tall. How far is the bottom of the ladder from the base of the house? Round to the nearest foot.
Given:
[tex]\begin{gathered} \cos \theta=\frac{BC}{AC} \\ \cos 40\degree=\frac{BC}{12} \\ 0.766=\frac{BC}{12} \\ BC=0.766\times12 \\ BC=9.192\text{ ft} \end{gathered}[/tex]The bottom of the ladder from the base of the house is 9 foot.
help please!!! it’s due soon!!!!!!
Answer:
-2
Step-by-step explanation:
The question tells you to find f (2). 2 is in the position where x is, so you can plug 2 into the function. According to the function, f(x)= -2 if x=2, so that makes f(2) equal -2 since x=2.
A firm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items
produced and sold) where C(x) = R(x) is called the break-even point. Assume that the below table can be expressed as a
linear function.
Find (a) the cost function, (b) the revenue function,
and (e) the profit function.
(d) Find the break-even point and decide whether the
product should be produced, given the restrictions on According to the restriction, no more than 19 units can be sold.
sales.
(a) The cost function is C(x) =
Step-by-step explanation:
(a)
the cost function is
C(x) = 300 + 20x
(b)
the revenue function is
R(x) = 35x
(e)
the profit function
P(x) = R(x) - C(x) = 35x - 300 - 20x = 15x - 300
(d)
break-even is the point where C(x) and R(x) are equal :
C(x) = R(x)
300 + 20x = 35x
300 = 15x
x = 300/15 = 20
so, the break-even is only achieved when 20 units are produced and sold. and with more than 20 sold units the business would then make a profit.
per our restrictions only max. 19 units can be sold, so, the business will always be in the negative numbers (unless they cheat and sell virtual units that were never produced).
therefore, the product should not be produced at all.
If polygon ABCD rotates 70° counterclockwise about point E to give polygon A'B'C'D', which relationship must be true?
A.
BB' = DD'
B.
m∠ABC > m∠A'B'C'
C.
A'E' = AE
D.
m∠ABC < m∠A'B'C'
Answer:
C. m∠ABC=m∠ABC
Step-by-step explanation:
A polygon stands as a two-dimensional geometric formation that contains a finite number of sides. It is shown that when polygon ABCD exists rotated by 70°in a counterclockwise order about point E to present polygon A'B'C'D'. so C. is your answer
hope this helps
What is the magnitude size of 3.7?
Answer: |3.7| = 3.7 so the answer will be 3.7
Step-by-step explanation:
the original price of an item is p dollars. is the price of the item with an 18% markup the same as multiplying the originaal price by 1.18?if yes use two expressions to justify your answer.
Answer:
• Yes
,• p+0.18p
,• 1.18p
Explanation:
Let the original price of the item = p dollars.
If there is an 18% markup, the new price of the item will be:
[tex]\begin{gathered} \text{New Price}=p+(18\%\text{ of p)} \\ =p+(\frac{18}{100}\times p) \\ =p+0.18p \\ =1.18p \end{gathered}[/tex]Yes, the price of the item with an 18% markup is the same as multiplying the original price by 1.18.
Yes, the price of the item with an 18% markup is the same as multiplying the original price by 1.18.
Given that, the original price of an item is p dollars.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the original price of the item = p dollars.
If there is an 18% markup, the new price of the item will be
New price = p + 18% of p
= p + 0.18p
= 1.18p
Yes, the price of the item with an 18% markup is the same as multiplying the original price by 1.18.
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Please help me solve this
With the explanation
Using proportions, the solution to the given rule of three is as follows:
x = 0.61.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three among the proportional amounts, using basic arithmetic operations such as multiplication or division.
The multiplication can be on the line or cross multiplication, depending if the variables are inverse or direct proportional, respectively.
In the context of this problem, the rule of three that represents the relation between the variables is:
1/x = 54/33
Supposing a direct relationship, we apply cross multiplication, hence the solution for x is found as follows:
54x = 33
x = 33/54
x = 0.61.
What is the missing information?This problem is incomplete, hence we are going to suppose that we have to solve for x = alpha considering the drawing as a rule of three.
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2x+11
6x-9
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
Hey, sure thing! (: All of the angles in this triangle are equal, which means that this is an equilateral triangle, and since this is an equilateral triangle, then that means all sides must be equal to each other.
Now, let's set up an equation to show that.
2x + 11 = 6x - 9
+ 9 + 9
2x + 20 = 6x
- 2x -2x
20 = 4x
4 4
x = 5
Tada! That's how we got the answer. Best of luck with the rest of your responsiblities! <3
Answer:
x = 5
Step-by-step explanation:
equilateral triangle definition:
a triangle whose all three sides are of equal length and 3 congruent angles of 60°
so
2x + 11 = 6x - 9
2x - 6x = - 9 - 11
- 4x = -20
x = - 20 : (-4)
x = 5
------------------------------
check (remember pemdas)
2 * 5 + 11 = 6 * 5 - 9
10 + 11 = 30 - 9
21 = 21
the answer is good
m² x m² x m² x m² can you please help me
Answer:_______
____1 m8
Answer:
m^8
Step-by-step explanation:
you basicly need to add those 2s because m² =m x
a scientist has two solutions, which she has labeled solution a and solution b. each contains salt. she knows that solution a is salt and solution b is salt. she wants to obtain ounces of a mixture that is salt. how many ounces of each solution should she use?
She should use 72 ounces for solution a and 108 ounces foe solution b.
What is an ounce?It is a several different unit of mass, weight or volume. And it is almost unchanged. It is a unit of weight in the avoirdupois system.
The number of ounces of solution a be x and the number of ounces of solution b be y.
x + y = 180, y = 180 - x
60x + 85y = 75(180)
60x + 85y = 135
60x + 85y = 13500
60x + 85(180 - x) = 13500
60x + 15300 - 85x = 13500
-25x = -1800
x = 72ounces
y = 180 - 72
y = 108 ounces
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5/2 convert to percentages
The answer is two hundred and fifty percent
whats the slope (m) and equation?
The slope of the line is: -3/4.
The equation of the line is: y = -3/4x + 4.
How to Find the Slope of a Line?The slope of a line is given as, m = change in y / change in x.
How to Write the Equation of a Line?
Using the slope (m) and the y-intercept of the line (b), substitute the values into y = mx + b to write the equation of the line in slope-intercept form.
Using two points on the line, (0, 4) and (4, 1):
Slope(m) = (4 - 1)/(0 - 4) = 3/-4
Slope (m) = -3/4.
The y-intercept (b) = 4.
Substitute m = -3/4 and b = 4 into y = mx + b:
y = -3/4x + 4.
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The larger of two numbers is three more than the smaller number. if the sum of the numbers is 51, find the numbers
Which equation accurately represents the situation. If we re-write it by replacing the “b” variable?
Answer:
(b+3)+b=51
"b" is a smaller number, that is 24.
So a larger numer is 27
Step-by-step explanation:
L = b +3
L+b = 51
(b+3) + = 51
2b + 3 = 51 >> subtract 3 to both sides
2b = 48 >> divide by 2 to both sides
b = 24
Larger = b + 3= 24 + 3= 27
5. Find y.
A) 40
B) 45
C) 50
D) 60
60
Step-by-step explanation:
y+60=100,100-60=40 so the value of y is 40 and 100 +2y=100+(2×40)=80 100+80=180
please help work out will also do
After doing some mathematical operations, the value of A is 3.465.
What are mathematical operations?An operation, also known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the operations that are most frequently studied.So, A = π(R² - r²):
Where π = 22/7, R = 7/4 and r = 7/5.Now, solve the expression as follows:
A = π(R² - r²)A = 22/7((7/4)² - (7/5)²)A = 22/7(49/16 - 49/25)A = (22/7 × 49/16) - (22/7 × 49/25)A = (11 × 7/8) - (22 × 7/25)A = 77/8 - 154/25A = [25(77) - 8(154)]/200A = [1925 - 1232]/200A = 693/200A = 3.465Therefore, after doing some mathematical operations, the value of A is 3.465.
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I need help badly on this one
PLEASE
[tex]\cfrac{x^2-9}{3x^2+8x-3}\div\cfrac{x-3}{x+2}\implies \cfrac{x^2-9}{3x^2+8x-3}\cdot \cfrac{x+2}{x-3}\implies \cfrac{\stackrel{\textit{diff. of squares}}{x^2-3^2}}{(x+3)(3x-1)}\cdot \cfrac{x+2}{x-3} \\\\\\ \cfrac{~~\begin{matrix} (x-3)(x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(3x-1)}\cdot \cfrac{x+2}{~~\begin{matrix} x-3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{x+2}{3x-1}[/tex]
a-2=3+6a/3 what is a
Answer:
a = -5
Step-by-step explanation:
Let's solve the problem,
→ a - 2 = 3 + (6a/3)
→ 2a - a = -2 - 3
→ [ a = -5 ]
Hence, the value is -5.
What is an equation of the line that passes through the points (2,−6) and (−2,4)?
Answer:
y = - [tex]\frac{5}{2}[/tex] x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 6 ) and (x₂, y₂ ) = (- 2, 4 )
m = [tex]\frac{4-(-6)}{-2-2}[/tex] = [tex]\frac{4+6}{-4}[/tex] = [tex]\frac{10}{-4}[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 2, 4 ) , then
4 = 5 + c ⇒ c = 4 - 5 = - 1
y = - [tex]\frac{5}{2}[/tex] x - 1 ← equation of line
Order each step and justification that is needed to solve the equation below. -2x = 28 - 6x Steps Justifications -2r = 28 - 61 Given - 2x + 6r 28 - 61 + 61 Simplification Simplification Division property of equality -41 28 28 4 r = 7 r = - 7 4r = 28 - 4x = 28 Addition property of equally
-2x = 28 - 6x --------------------------> Given
-2x + 6x = 28 - 6x + 6x------------------------------>Addition property of equality
4x = 28 -----------------------------------------> Simplification
4x/4 = 28/4 --------------------------------->Division property of equality
x = 7 --------------------------------------->Simplification
how many groups of 3 3/1 are there in 6 1/6
The number of groups of 3 and 1/3 in 6 and 1/6 are 37/20.
We can write the given mixed fraction in the form of an improper fraction form.
Mixed fraction
Mixed fractions are those fractions that are formed by combining a whole number with a fraction.
Improper fraction
A fraction with the numerator value greater than the denominator is known as an improper fraction.
Hence, we can write,
3 and 1/3 = 10/3 and,
6 and 1/6 = 37/6
To find the number of groups of 3 and 1/3 in 6 and 1/6, we will divide 6 and 1/6 by 3 and 1/3
Hence, we can write,
(37/6) ÷ (10/3) = (37/6)*(3/10) = 37/20
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I NEED HELP ASAP , no tutor was able to solve this.
given
Number of customers = 20
number of successes = 30% = 0.30
Find
a) Probability of exactly 15 customers will make a purchase.
b) Probability of atleast 15 customers will make a purchase.
c) Probability of atmost 4 customers will make a purchase.
Explanation
here we use binomial distribution.
n = 20
p = 0.30
q = 1 - 0.30 = 0.70
a) Probability of exactly 15 customers will make a purchase =
[tex]\begin{gathered} ^{20}C_{15}(0.30)^{15}(0.70)^5 \\ \frac{20!}{5!15!}(0.30)^{15}(0.70)^5 \\ \frac{20\times19\times18\times17\times16}{5\times4\times3\times2\times1}\times(0.30)^{15}(0.70)^5 \\ 0.00004 \\ \end{gathered}[/tex]b) Probability of atleast 15 customers will make a purchase =
[tex]\begin{gathered} P(X\ge15)=0.00005 \\ \end{gathered}[/tex]c) Probability of atmost 4 customers will make a purchase =
[tex]P(X\leq4)=0.23751[/tex]Final Answer
Hence
a) 0.00004
b) 0.00005
c) 0.2375
Five less than the square of a number is 44. What is the number?
Answer:
7
Step-by-step explanation:
7 square is 49. 44 is 5 less than 49.
so the correct answer is 7
Diego is buying shrimp and rice to make dinner. Shrimp costs $6.20 per pound and rice costs $1.25 per pound. Diego spent $10.55 buying shrimp and rice. The relationship between pounds of shrimp s, pounds of rice r. and the total cost is
represented by the equation 6.20s + 1.25 = 10.55.
Write an equation that makes it easy to find the number of pounds of rice if we know the number of pounds of shrimp purchased.
The act of expressing anything is the process of verbally, writtenly, or by another medium, your thoughts, feelings, etc. [noncount] Freedom of expression [=the ability to publicly express what one believes and feels]
Explain about the Expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
We change the number of pounds of rice, r, to be the subject of the given equation by applying the principle of subject of formula. The formula would therefore be r = (10.55 - 6.20s)/1.25.
Given the phrase:
6.20s + 1.25r = 10.55
Separate 1.25r
1.25r = 10.55 - 6.20s
To identify r, divide both sides by 1.25.
r = (10.55 - 6.20s)/1.25
Consequently, the necessary phrase would be
r = (10.55 - 6.20s)/1.25
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292,000 after several years decrease by 8%
After several years of an 8% decrease, the house's value is $268,640 currently.
What is a percentage decrease?In this situation, the percentage decrease refers to the fractional devaluation of the property value.
We can compute the percentage decrease by directly determining the amount (absolute value in dollars) of the decrease or by indirectly determining the value after the decrease, using mathematical operations.
The initial value of the house = $292,000
The percentage decrease in value = 8%
The Decrease Value = $23,360 ($292,000 x 8%)
The Current Value of the house = $268,640 ($292,000 - $23,360) or {$292,000 x (1 - 8%)}
Thus, the house decreased by $23,360 or 8% and is currently worth $268,640.
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QUICKLYY PLS I NEED NOW TY
Answer:
5.004 X 10^6
0.51 then 1.445 × 10³
0.071 then 0.884
Find the value of byt
Answer:75 degrees
Step-by-step explanation:
Since the 2 angles make a line the sum of the angles would equal 180 degrees. One of the angles is 105 so 180-105 is 75.
Alexis found that a bushel of apples contain 78 large apples she separated the Apple into three groups such that second group had twice as many as the first and the third group has six more than the first how many apples are in each group
So we know that are three groups, and the second one had twice of apples that the first one, and the third group has six more than the first, so we have nine parts of the amount of the first group separated in the three groups, to have the 78 apples separated in all the groups we are going to need that the first group contain 78/9 apples, the second one contain 2*(78/9) = 156/9 apples and the third one contain 6*(78/9) = 468/9 apples.
So the answer is the first group contain 78/9 apples, the second one contain 2*(78/9) = 156/9 apples and the third one contain 6*(78/9) = 468/9 apples.
