The Equations is b/4 + 2= 8 and b = 24.
What is expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions.
Mathematical statements called expressions must contain at least two phrases including numbers, variables, or both, and they must be joined by an operator.
Given Two more than the quotient of a number and 4 is 8,
Let number be b
b/4 + 2= 8
b/4 = 8 -2
b/4 = 6
b = 24
Hence, two more than the quotient of a number is 24.
Hence the equation for phrase is b/4 + 2= 8 and b = 24.
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Refer to the table on air travel. Suppose a flight that arrived at El Centro is selected at random. What is the probability that the flight did not arrive on time? Express the answer as a fraction, decimal, and percent. Explain your reasoning.
Air Travel
Airport: El Centro (CA) ; Baltimore (MD)
Arrivals (Percent on-time): 80 ; 82
The expression of the probability that the flight did not arrive on time at El Centro is as follows:
Fraction = 1/5Decimal = 0.2Percentage = 20%.What is the probability?Probability is the chance or likelihood that an expected outcome occurs or does not occur.
Probability describes an occurrence's relative value (ratio) over many possible events.
When the likelihood is 100% certain or uncertain, the probability is 1 or 0, respectively. Otherwise, probability as a fractional value lies between zero and one.
Air Travel
Airport: El Centro (CA) Baltimore (MD)
Arrivals (Percent on-time) 80% 82%
Did not arrive on time:
Percentage = 20% (100 - 80) 18% (100 - 82)
Fraction = 1/5 (20/100) 9/50 (18/100)
Decimal = 0.2 (20/100) 0.18 (18/100)
Thus, the probability that the El Centro flight did not arrive on time is 20%, 1/5, or 0.2.
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How many three letters code words can be constructed from the first nine letters of the Greek alphabet if no repetition are allowed
Answer:
504
Step-by-step explanation:
There are 9 choices for the first letter, 8 choices for the second letter, and 7 choices for the third letter, for a total of 987 = 504 three-letter code words that can be constructed from the first nine letters of the Greek alphabet without repetition.
need someone to answer this question please.
Answer:
56, 265.
Step-by-step explanation:
How many real solutions does the equation have?
g² +42 = 0
Answer:
The equation g² + 42 = 0 has two real solutions.
To solve this equation, we can start by subtracting 42 from both sides to get g² = -42. Then, we can take the square root of both sides to get |g| = √42. Since the square root of a number is positive, this means that g = √42 or g = -√42. These are the two solutions to the equation.
The diagram shows a isosceles right triangle, follow the steps to explore relationships between Saint triangles, measure the length of each leg and hypotenuse
The length of the sides are given by the 45°–45°–90° triangle theorem.
Correct responses:
AB = 1
AC = 1
BC = √2
How to find the length of an Isosceles Triangle?The 45°–45°–90° triangle theorem is one that states that the ratio of the lengths of the sides of triangles having interior angles of 45°, 45°, 90° is expressed as 1 : 1 : √2
We know that the lengths of the legs of an isosceles triangle are equal. Now, the legs of the given isosceles right triangle in the attached file are AB and AC.
Thus, we can say that, AB = AC
If the length of AB s 1 unit, then we have;
AB = AC = 1
Using Pythagoras theorem, we have;
BC² = AB² + AC²
Which gives; BC = √2
Therefore, by plugging in the length of AB = AC = 1, we have;
AB = 1
AC = 1
BC = √2 ≈ 1.414
The above values are in the ratio 1 : 1 : √2, which now corresponds with the 45°-45°-90° triangle theorem.
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Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. If necessary, round to the nearest tenth. A(-2,4), B(4,-3);3to2
The coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2 is the ordered pair (4.2, -0.2).
How to determine the coordinates of point P?In this exercise, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2.
Mathematically, line ratio can be used to determine the coordinates of the point P and this is modeled by this mathematical expression:
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Substituting the given parameters into the line ratio formula, we have;
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
P(x, y) = [(3(4) + 2(-2))/(3 + 2)], [(3(-3) + 2(4))/(3 + 2)]
P(x, y) = [(27 - 4)/(5)], [(-9 + 8)/5]
P(x, y) = [21/5], [-1/5]
P(x, y) = [4.2, -0.2]
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Marcie cooked dinner for herself. The original recipe has a serving size of 2 and requires 2 2/3 pounds of chicken. How many pounds of chicken will be needed for a single serving?
Answer:The answer is 1 1/3 pounds of chicken.
Step-by-step explanation:
For a single serving of the recipe, you would need half the amount of chicken that is required for a serving size of 2, which is 2 2/3 / 2 = 1 1/3 pounds of chicken.
solve the quadratic equation graphically using at least two different approaches when necessary give your solutions to the nearest hundredth. x^2+12x+11=0 a. x=-11 or x=-1 b. x=1 or x=6 c. x=10 or x=-3 d. x=0 or x=-6
The roots of the quadratic equation are x= -1 and x= -11
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
y = x²+12x+11
Axis of Symmetry is x={-6.00}
Vertex at (x,y) = (-6.00,-25.00)
x -Intercepts (Roots) :
Root 1 at (x,y) = (-11.00, 0.00)
Root 2 at {x,y} = (-1.00, 0.00)
Take some random values for x and find corresponding y values using the equation y = x²+12x+11
Plot the points to get the graph attached
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Determine the truth value of each of the following implications.
a. If 3 + 4 = 12, then 3 + 2 = 6
b. If 3 + 3 = 6, then 3 + 6 = 9
c. If 3 + 3 = 6, then 3 + 4 = 9
d. If Fidel V. Ramos was the twelfth president of the Republic of the Philippines. Then 2 + 3 = 5
Answer:
Step-by-step explanation:
A: false
B: true
C: true
D: false
is this problem proportional:
a wood deck quoted at a bulk cost for 25 square ft.
In the problem, the information is not enough to find whether the problem is proportional or not.
What is proportions?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given a phrase, a wood deck is quoted at a bulk cost for 25 square ft.
to find the problem proportional or not,
for proportional there must be at least four quantities, whose ratios are to be compared and if their ratios are equal they are said to be in proportion.
for example,
When two ratios are equal, they are said to be in proportion. For instance, the time it takes a train to travel 50 kilometres per hour is equal to the time it needs to travel 250 kilometres in 5 hours. e.g., 250km/5 hours = 50 km/h.
Hence for the given question, the information is not enough.
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a certain college graduate borrows 7506 to buy a car. the lender charges interest at an annual rate of 15%. assuming that interest is compounded continuously and that the borrower makes payments continuously at a constant annual rate k dollars per year, determine the payment rate that is required to pay off the loan in 2 years. also determine how much interest is paid during the 2-year period
The payment amount rate required to pay off the loan in 2 years is k = $4,266.67 and the total interest paid during the two-year period is $2,142.66. This is calculated by using the formula for continuous compounding to solve for k and the formula for calculating interest to solve for I.
1. Calculate the payment rate required to pay off the loan in 2 years:
k = P/(1 - e^(-rt))
= 7506/(1 - e^(-0.15*2))
= 7506/(1 - 0.8698)
= 4,266.67
2. Calculate the total interest paid during the two-year period:
I = P(e^(rt) - 1)
= 7506(e^(0.15*2) - 1)
= 7506(1.3302 - 1)
= 2,142.66
Payment rate required to pay off the loan in 2 years: K = $5,062.89. The amount of interest paid during the 2-year period is $1,506.11. The borrower pays back a total of $9,012.89 over the 2-year period. The interest rate of 15% is continuously compounded and the payments are made at a continuous rate of K dollars per year.
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1 and2.Select all that apply of the following terms: acute,right,obtuse,adjacent,vertical,complementary,supplementary.
1 and2.Select all that apply of the following terms: acute,right,obtuse,adjacent,vertical,complementary,supplementary.
The statement that apply to the given terms are:
rightadjacentsupplementaryHow can the angles be analysed?The facts to be noted :
An Angle in the figurecan be regarded as right angle which is 90°
∠2 can be seen as 90° since they are vertically opposite angles are equal
Both ∠1 and ∠2 altogether will give us 180° which can be seen as Linear Pair Then ∠1 = 90°.
Hence, we can deduce that :
They are Right angles ( measure of both angles are 90)
They are Adjacent angles (there is common arm and a common vertex)
They are Supplementary angles (sum of both angles is 180°)
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Kendyl ate 4 pieces of the banana. Adison ate 2
pieces of the banana. They ate the entire
panana. What fraction represents the WHOLE
banana?
Answer:
Whole banana = 6/6
Step-by-step explanation:
Given information,
→ Kendyl ate 4 pieces.
→ Adison ate 2 pieces.
Now the total number of pieces,
→ 4 + 2
→ 6 banana pieces
Fractional representation is,
→ Kendyl = 4/6
→ Adison = 2/6
→ Whole banana = 6/6 = 1
Hence, the answer is 6/6.
HELP ASAP PLEASE will give branlist what is the slope of the linear relationship
1/4
-4/1
4/1
-1/4
Answer:
-1/4
Step-by-step explanation:
the slope is going down by a rate of -1/4
PLEASE HELP ME! URGENT!
The numeric values for each expression in this problem are given as follows:
a. g(g(g(1))) = 1.
b. f(f(f(2)) = 1.
c. f(f(g(2))) = 2.
d. g(f(g(4))) = 2.
How to obtain the numeric value for each expression?The numeric value for each expression is obtained using the compositions, and also the numeric values given from the tabke,
As an example, from the table, we have that when x = 1, g(x) = 4, hence:
g(1) = 4.
Hence:
g(g(g(1))) = g(g(4)) = g(3) = 1.
The circle symbol represents composition, meaning that the expressions are similar to item a.
Thus the numeric value in item b is obtained as follows:
f(f(f(2)) = f(f(4)) = f(5) = 1.
The numeric value in item c is obtained as follows:
f(f(g(2))) = f(f(5)) = f(1) = 2.
The numeric value in item d is obtained as follows:
g(f(g(4))) = g(f(3)) = g(6) = 2.
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According to the rules of tennis, a regulation ball "shall have a bounce of more than 53 inches and less than 58 inches when dropped 100 inches upon a concrete base."
Which number sentence reflects the bounce height restrictions for tennis balls?
A. 53 inches < bounce height <58
B. 53 inches > bounce height >58 inches inches
C. 53 inches ≤ bounce height ≤58
D. 53 inches ≤ bounce height ≤58 inches inches
The number sentence inequality that reflects the bounce height restrictions for tennis balls is given as follows:
A. 53 inches < bounce height < 58 inches.
How to construct the number sentence inequality?To construct the number sentence inequality, we must look at the restrictions for the bounce height of the tennis balls.
The restrictions are given as follows:
More than 53 inches.Less than 58 inches.The inequality that symbolizes the first restriction is given as follows:
bounce height > 53 inches.
The inequality that symbolizes the second restriction is given as follows:
bounce height < 58 inches.
Hence the compound inequality that involves the two restrictions is given as follows:
53 inches < bounce height < 58 inches.
Meaning that the correct option for this problem is given by option A.
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Allan dreams of being a real estate agent. He has just graduated with a degree in business. When will Allan be ready to start work as a real estate agent?
as soon as a new position becomes available at a local real estate firm
OB.
after he works as an administrative assistant at a real estate firm
O C. after he passes a licensing exam to prove he's qualified to sell real estate
O D. as soon as he job-shadows a successful real estate agent for at least three weeks
A.
Allan will be ready to start work as a real estate agent; After he passes a licensing exam to prove he's qualified to sell real estate.
What is sell real estate?Selling real estate is the process of transferring ownership of a piece of property from one person or entity to another.
The complex process that involves several steps, includes determining the market value of the property, marketing the property, negotiating with prospective buyers, and finally closing the sale.
This is important to work with an experienced real estate professional who can help guide, through each step in the process and ensure that everything is handled properly.
So the correct option is C.
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Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y2x + 12
2x + y ≤ - 5
The Graph C shows the solution to this system of inequalities in the coordinate plane.
What are system of inequalities?When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.
A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
We are given that
3y > 2x + 12
2x + y ≤ - 5
Therefore, solving it;
x < 3(y - 4) / 2
y > 2 (x + 6) / 2
2x + y< -5
x> -5
So,
x < 3(y - 4) / 2
Here it shows dotted ascending line attached through x=-6
This means x=--6 and y = 0
This x>-5 shows boundary dotted vertical line through -5
Which means x = -5 y = 0
If it had been x ≥ -5 it would have been solid boundary line.
The vertices of both show (-5,1) so the correct option is C.
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A-1 Chemical Supply pays Kim Bryant a $1010 monthly salary plus a 12% commission on merchandise she sells each month. Assume Kim's sales were $16,100 for last month.
Kim's total salary for each month is given as follows:
$2,942.
How to obtain Kim's total salary?Kim's salary is divided into two earnings, as follows:
Fixed salary of $1,010.Commission of 12% on her sales.Kim's sales were $16,100 for last month, hence her commission is found applying the proportion as follows:
0.12 x 16100 = $1,932.
(the proportion is obtained multiplying the decimal equivalent of the percentage by the total amount to obtain the desired amount).
Then, adding to the fixed salary of $1,010, her total salary for the past month is obtained as follows:
1010 + 1932 = $2,942.
Missing InformationThe problem is incomplete, hence we suppose that it asks for Kim's total salary last month.
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Please help me with this question please I need help asap
Answer:
You can travel 112.5 on a full tank of gas.
Step-by-step explanation:
500/60 = 8 [tex]\frac{1}{3}[/tex]
You can travel 8 [tex]\frac{1}{3}[/tex] miles on one gallon of gas.
Your tank holds 13 1/2 gallons.
8 [tex]\frac{1}{3}[/tex] x 13 [tex]\frac{1}{2}[/tex]
[tex]\frac{25}{3}[/tex] x [tex]\frac{27}{2}[/tex] 3 and 2 share a common factor of 3 so I cross canceled.
[tex]\frac{25}{1}[/tex] x [tex]\frac{9}{2}[/tex] = [tex]\frac{225}{2}[/tex] = 112.5
Answer:
your answer is 1,245 gas
please help with math .... ok please
Answer:
A) : 10% = 48
Final result: 432
Step-by-step explanation:
10 * 480 / 100
= 4800 / 100
= 48
480 - 48 = 432 (final result)
Answer:
B) : 54
Final result: 306
Step-by-step explanation:
15 * 360 / 100
= 5400 / 100
= 54
360 - 54 = 306 (final result)
I hope this helps!
*To find the percent, use this formula: part percent * whole number / 100
If m∠b is 32°, what is the m∠d?
58⁰
64⁰
148⁰
32⁰
Answer:
I guess it's 58° fr apparently
6. Complete the two-column proof.
Given: 3x + 4 = 10 Prove: x = 2
3x + 4 = 10 __?___
3x = 6 __?___
x = 2 ___?___
Answer:
see explanation
Step-by-step explanation:
given
3x + 4 = 10 ( subtract 4 from both sides )
3x = 10 - 4 = 6 ( divide both sides by 3 )
x = 6 ÷ 3 = 2
thus x = 2 is proven
Use the properties of exponents to rewrite this expression.
What is the value of the rewritten expression when ?
A.
B.
C.
D.
The value of the expression Illustrated as (2a⁴)²/a^0a^5 is C. -500
What is the value of the exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number
From the information (2a⁴)²/a^0a^5
We know ( xy) ^z = x^z y^z
(2a^4)^2 = 2^2 a^4^2
and x^y^z =x^(y*z) so a^4^2 = a^(4*2) = a^8
(2a^4)^2 = 4 a^8
We know that a^0 = 1
4 a^8/1 a^5
We know x^y / x^z = x^ ( y-z)
4 a^( 8-5)
4 a^3
Let a = -5
4 ( -5) ^3
4 ( -125)
= -500
The correct option is C.
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Translate this sentence into an equation. 23 more than Delia's height is 56. Use the variable d to represent Delia's height.
Answer: d + 23 = 56
Step-by-step explanation:
" More than" is another way of saying "added by", so your problem is Delia's height added by 23 is 56. If we replace Delia's height with the variable d, then we get d added by 23 is 56. This is really easy now,
d + 23 = 56
what is the value of 32,538 divided by 10 to the third
Answer:
32.538
Step-by-step explanation:
[tex]\frac{32538}{1000}[/tex] move the decimal point that is at the end of the number 3 places to the left.
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Which of the following is the best approximation of the volume of the cylinder below?
The volume of the cylinder is 602.9 cm³
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We need to find the volume of the cylinder whose height is 3 cm and diameter is 16 cm.
Radius =16/2=8 cm.
The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder.
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
As per the given figure,
The radius of a cylinder is 8 cm and the height of the cylinder is 3 cm.
V = 3.14×8²×3
=3.14×64×3
=602.88=602.9 cm³
Hence, the volume of the cylinder is 602.9 cm³
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which inequalilty corresponds with the graph below
The inequality which corresponds with the graph below is x + y ≤ 0.
What is inequality?A mathematical expression in which the sides are not equal is referred to as being "inequality." An inequality, in its most basic form, is a comparison of any two values that shows that one value is less than, greater than, or equal to the value on the other side of the equation.
Less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠) are the inequality symbols.
Comparing numbers and identifying the range (or ranges) of values that meet the specifications of a given variable are both done using inequalities.
The equation of the above straight line is
y = −x
or
x + y=0
Now the shading in the above graph is towards the negative part (where x is negative).
Also the line is dark and not dotted. This indicates that the points on the line are part of the inequality.
Thus, the inequality which corresponds with the graph below is x + y ≤ 0.
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Full question:
Which inequality corresponds with the graph below
a. y - x ≤ 0
b. x - y ≤ 0
c. y + x ≤ 0
d. None of the above
divide
6x^4-2x^3- 13x-7 by 3x plus 8
Answer:
700 the answer is 700.
Step-by-step explanation:
the answer is 700
factor the exprresion 27+12
