Answers
Step-by-step explanation:
trick question alert !
because a term is every part of an expression. and they are storage by + or - signs.
and sometimes also by division !!!
so, what did your teacher tell you ?
and then every grouping of these single parts in the expression is a term too.
therefore the whole expression is a term too.
so, the expression itself is a term.
then 3 is a term.
then 1/2×b is a term.
that is in total 3.
but it could be that 1×b (or simply b) and 2 of the fraction or division are considered terms too.
that would bring us to 5.
but normally the answer should be 3.
Related Questions
If 51x + 23y = 116 and 23x + 51y = 106, then find the value of (x – y).
Answers
Step-by-step explanation:
51x + 23y = 116 ……….. (i)
23x + 51y = 106 ………… (ii)
Subtracting (ii) from (i)
28x – 28y = 10
28(x – y) = 10
⇒ (x – y) = 10/28 = 5/14
The solution of the expression x- y is 5/14.
Given Equation:
Equation 1: 51x + 23y = 116
Equation 2: 23x + 51y = 106
Now, multiply 23 in equation 1 and 51 in equation 2 gives
Equation 3: 1173x + 529y = 2,668
Equation 4: 1173x + 2601 y = 5406
Solving the Equation 1 and (3) gives
2601y - 529y = 5406 - 2668
2072y= 2738
y = 37/28.
Substituting the value of y= 37/28 in Equation 1 gives
51x + 23(37/28)= 116
51 x= 2397/28
x= 47/28
So, the value of x-y
= 47/28 - 37/28
= 10/28
= 5/14
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Solve for x. 7.5x/11=4.8/5
Answers
The value of the variable is 1. 40
How to determine the valuewe need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.
these algebraic expressions are also made up of arithmetic operations.
These arithmetic operations are listed as;
BracketDivisionAdditionSubtractionMultiplicationParenthesesFrom the information given, we have that;
7.5x/11=4.8/5
cross multiply the values, we get;
7.5x(5) = 4.8(11)
multiply the values
37. 5x = 52. 8
Divide both sides by the coefficient of x, we get;
x = 1. 40
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solve the following question
Answers
14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°
What is a trigonometric equation?A trigonometric equation is an equation that contains a trigonometric ration.
14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows
Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,
We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that
(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°
= 1² + 1² - 4cos²45°
We know that cos45° = 1/√2. So, we have
1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²
= 1 + 1 + 4/2
= 2 + 2
= 4
So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows
Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1
We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that
2(cos²θ - sin²θ) = 1
2(cos2θ) = 1
cos2θ = 1/2
Taking inverse cosine, we have that
2θ = cos⁻¹(1/2)
2θ = 30°
θ = 30°/2
θ = 15°
So, θ = 15°
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A computer store sells an average of 3 laptops per week.
1. What is the probability that no laptops will be sold next week?
2. What is the probability that a laptop will be sold next week?
3. Assuming that the store only works from Saturday to Wednesday, then there are two days in which no computers are sold: what is the probability that tomorrow (Tuesday) only one laptop will be sold?
Answers
Answer:7%
Step-by-step explanation:the store is rapidly selling laptops
1. The probability that no laptops will be sold next week is very low, as the store has an average of 3 laptops sold per week. This probability can be calculated using the Poisson distribution, which is a probability distribution used to model the number of times an event occurs within a given time period. The probability of no events occurring within a given time period is given by the formula:P(x=0) = e^(-lambda)
Where lambda is the average number of events per time period. In this case, the probability that no laptops will be sold next week is:
P(x=0) = e^(-3) = 0.0498
2. The probability that a laptop will be sold next week can also be calculated using the Poisson distribution. The probability of at least one event occurring within a given time period is given by the formula:
P(x>=1) = 1 - P(x=0) = 1 - e^(-lambda)
In this case, the probability that a laptop will be sold next week is:
P(x>=1) = 1 - e^(-3) = 0.9502
3. The probability that only one laptop will be sold tomorrow (Tuesday) can be calculated using the Poisson distribution. The probability of x events occurring within a given time period is given by the formula:
P(x) = (lambda^x * e^(-lambda)) / x!
Where lambda is the average number of events per time period and x is the number of events being considered. In this case, the probability that only one laptop will be sold tomorrow is:
P(x=1) = (3^1 * e^(-3)) / 1! = 3 * e^(-3) = 0.224
Note that this probability assumes that the store sells laptops at a constant rate throughout the week, and does not take into account any variations in demand or other factors that may affect the number of laptops sold on a given day.
Assume that 75 was the mean test score on an exam, with a standard deviation of 4 points.
What percent had scores between 67 and 75? Use the % symbol in your answer.
Answers
Answer:
68%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 75, standard deviation of 4.
What percent had scores between 67 and 75?
67 = 71 - 4
75 = 71 + 4
Within 1 standard deviation of the mean, so, by the Empirical Rule, 68%.
The four corners are cut from a 3-foot-by-6-foot sheet of plywood, as shown in the figure. Find the
perimeter of the remaining piece of plywood. In the figure A = 6, B = 3 and C = 1.5. Round your answer
to two decimal places.
Answers
Answer:
yeywheysveywbsgdvevcege
Find a formula for the general term a_n of the sequence, assuming that the pattern of the first few terms continues. {1, -2/3, 4/9, -8/27,... }
Answers
Answer:
\(a_{n}\) = \((-\frac{2}{3}) ^{n-1}\)
Step-by-step explanation:
The sequence has a common ratio between consecutive terms , that is
r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{a_{3} }{a_{2} }\) = \(\frac{a_{4} }{a_{3} }\) = - \(\frac{2}{3}\)
This indicates the sequence is geometric with nth term
\(a_{n}\) = a₁ \((r)^{n-1}\)
where a₁ is the first term
Here a₁ = 1 and r = - \(\frac{2}{3}\) , then
\(a_{n}\) = 1 \((-\frac{2}{3}) ^{n-1}\) = \((-\frac{2}{3}) ^{n-1}\)
An online seed supplier packages a seed mix that costs the company $23.20 per pound. Themix includes poppy seeds costing $25.45 per pound and clover seeds costing $14.20 perpound. If a worker is going to prepare some of this mix and has already measured out 14pounds of poppy seeds, what quantity of clover seeds should he add?Write your answer as a whole number or as a decimal rounded to the nearest tenth.
Answers
3.5 pounds
Explanation:The cost of seed mix per pound = $23.20
The cost of the poppy seeds per pound = $25.45
The cost of the clover seeds per pound = $14.20
let the number of poppy seeds = P
Let the number of clover seeds = C
Number of Seed mix = P + C
Total cost of seed mix:
Number of pounds of poppy seeds(cost per pounds) + Number of pounds of clover seeds(cost per pounds) = Number of pounds of seed mix (cost per pounds)
P(25.45) + C(14.20) = 23.20(P + C)
Expanding the parenthesis:
25.45P + 14.20C = 23.20P + 23.20C
collect like terms:
25.45P - 23.20P = 23.20C - 14.20C
2.25P = 9C
divide both sides by 9:
2.25P/9 = 9C/9
C = 2.25P/9
We were told 14 pounds of poppy seeds was measured.
This means P = 14 pounds
C = ?
Inserting into the equation above:
C = 2.25(14)/9
C = 3.5
The quantity of clover seeds he should add is 3.5 pounds
Determine the slop of the linear function
Answers
Answer:
y = 5x.
Step-by-step explanation:
Read the table from top to bottom. You'll see that each time x increases by 1, y increases by 5. We know immediately that the slope of this line is m = rise/run = 5/1 = 5.
Using the first point (2, 10), we see that y = 10 when x = 2. Fit this info into the slope-intercept form of the equation o a straight line:
y = mx + b becomes 10 = 5(2) + b, or b = 0, and the final equation is y = 5x.
Imagine that 55% of the 800 students participate in music instead of 60%. How could
you use the idea of halves with the bar model to find 55% of 800?
Answers
Answer:
Step-by-step explanation:
Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
Answers
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
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Enter the equation of a circle that is congruent to circle C and is centered at point P
Answers
The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².
What is the equation of a circle?In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.Based on the information provided, we have the following parameters for the equation of this circle:
Center (h, k) of P = (1, 5)Radius (r) of P = 5 units.By substituting the given parameters, we have:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - 1)² = 5²
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Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
Answers
To reflect a point across the line y=3, we find the point that is the same distance from y=3 as the original point, but on the opposite side of the line. In this case, the original point is B(−4,−6), which is 9 units below y=3. The image point will be 9 units above y=3, so it will have a y-coordinate of 3+9=12. The x-coordinate remains the same, so the image point is B
′
(−4,12).
the sum of infinite series 1/5-2/25+4/75-8/625.... ?
Answers
Answer:
1/7
Step-by-step explanation:
Given series :-
1/5 -2/25 +4/125 - 8/625 ( correct)To find :-
The sum of infínite Series .From the Series , the common ratio will be ,
⇝ CR = -2/25 ÷ 1/5
⇝ CR = -2/25 × 5
⇝ CR = -2/5
Using formula of GP :-
⇝ S_∞ = a /1 - r , -1 < r < 1
⇝ S = 1/5 ÷ ( 1 - (-2/5))
⇝ S = 1/5 ÷ ( 1 +2/5)
⇝ S = 1/5 ÷ 5/7
⇝ S= 1/7
Show how to find the following product using a diagram
1/4 × 2/3
Answers
Answer:
3/3
Step-by-step explanation:
The GCF of 18 and 30 is ____.
pls help >:o
Answers
Answer:
6
Step-by-step explanation:
Answer: GCF of 18 and 30 is 6.
Answer:
9
Step-by-step explanation:
18,1,2,3,6,9
30,1,2,3,5,6,9
Which of the scenarios below are considered seller-based discounts? options are in the picture
Answers
The scenarios that can be considered a seller-based discount are:
A. The offer by Wire and Cable
B. Carfna's Fine Foods
C. Mouser Electronics offer
E. Carchex Car Maintenance
What is a seller-based discount?A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.
The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.
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What is the answer of the chart (picture) please help
Answers
Answer:
DARK Blue! 0.4!
Step-by-step explanation:
600 students attend Walker Middle School.
240 are 6th graders.
What percent of the students are not 6th graders?
Answers
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
The circle shown below has a diameter of 12 centimeters. What is the
approximate area of the shaded sector?
310*
OA. 390 cm²
OB. 102 cm²
C. 97 cm²
OD. 226 cm2
Answers
The approximate area of the shaded sector is 97 cm^2
What is area of circle ?
area of circle can be defined as the product of pi and square of radius ,the value of pi is 22/7 or 3.14 .
Given , diameter = 12
We need to convert diameter to r
d =2r
d/2 =r
12/2=r
6 =r
The radius is 6
A= pi *6^2
A = 36 *(3.14)
A = 113.04 cm^2
Now the fraction of the circle that is shaded is 301degrees out of 360
(A circle is 360 degrees)
=310/360 * area of a circle
=310/360 * 113.04
= 97.34
Hence , The approximate area of the shaded sector is 97 cm^2 .
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The cost of 4 notebooks and 3 pens is $24.50. The cost of 5 notebooks and 6 pens is $21.50.
Part As What is the cost of each item
Part B: Waseem needs to purchase some new school supplies. For each pen he buys he will buy 3 notebooks. How many pens can he purchase if he has $272
Show your work and label your answers for both parts of this questio
Answers
4x+3y=14.50
5x+6y=21.50
4x=14.50-3y
X=3.625-0.75y
18.125-3.75y+6y=21.50
2.25y=3.375
Y=1.5
X=3.625-0.75(1.5)
X= 2.5 , Y = 1.5
Notebook = 2.5
Pen=1.5
Part (B)
Part (B)
1 pen =3 notebooks
With the statement for each pen he buys he buys a notebook that means he spends $9 per purchase on both so for $27 dollars he would get 3 pens
What is the length of diagonal LN
20.4 in
12.6 in
22.8 in
25.2 in
Answers
The length of diagonal \(\mathrm{\overline{LN}}\) is 406.44\(\overline{LN}\) 20.16 inches.
What is equation?Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14.
You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.
The Pythagorean formula can be used to determine the diagonal LN's length. We can see that LM is 12.0 inches long while MN is 16.2 inches long
So, the Pythagorean Theorem can be applied as follows:
LN = LM + MN LN = (12.0) + (16.2) LN = 144 + 262.44 LN = 406.44 LN 20.16 inches.
Consequently, the longitudinal LN measures about 20.16 inches in length.
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What is the first step in evaluating the expression shown below?
12
÷
(
7
.
4
−
3
.
6
)
+
8
−
2
Answers
Answer:
Step-by-step explanation:
The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.
Step 1: Evaluate the expression inside the parentheses.
7.4 - 3.6 = 3.8
After evaluating the expression inside the parentheses, the expression becomes:
12 ÷ 3.8 + 8 - 2
Step 2: Perform the division.
12 ÷ 3.8 = 3.158
After performing the division, the expression becomes:
3.158 + 8 - 2
Step 3: Perform the addition and subtraction from left to right.
3.158 + 8 = 11.158
11.158 - 2 = 9.158
Therefore, the value of the given expression is approximately 9.158.
The first step is:
⇨ parenthesesWork/explanation:
The expression is:
12 ÷ (7.4 − 3.6) + 8 − 2
Let's recall the order of operations first:
order of operations = PEMDASPEMDASParenthesesExponentsMultiplicationDivisionAdditionSubtractionSo we evaluate
\(\sf{12\div(7.4-3.6)+8-2}\)
\(\sf{12\div3.8+8-2}\)
Next, division:
\(\sf{3.158+8-2}\)
Next, addition & subtraction:
\(\sf{9.158}\)
Hence, the first step is to evaluate the parentheses.unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answers
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
Tom and his sister both decided to get part-time jobs afterschool at competing clothing stores. Tom makes $15 an hour and recieves $3 in
commission for every item he sells. His sister makes $7 an hour and recieves $5 in commission for every item she sells. How many items
would each of them have to sell to make the same amount of money in an hour?
Answers
Answer:
Each of them would sell four items.
Step-by-step explanation:
Tom - 15+3+3+3+3= $27
His sister - 7+5+5+5+5= $27
what's the correct answer please
A mite measures 0.00091 of a meter long. Which of the following correctly represents this in Scientific Notation?
9.1x10^4
9.1x10^-4
9.1x10^3
9.1x10^-3
Answers
Answer:
9.1x- 10000
9.1 x 10^-4
Step-by-step explanation:
b
2xy=z-y solve for x
Answers
Answer:
\(x=\frac{z-y}{2y}\)
Step-by-step explanation:
Janae is at a carnival. She won 420 tickets. She rides two rides for 75 tickets each and attends a concert for 180 tickets. If she can exchange 10 tickets for one prize, how many prizes can she get with her tickets
Answers
Answer:
9 Prizes
Step-by-step explanation:
She begins with 420 tickets.
She goes on 2 rides for 75 tickets each so 420-75-75= 270
She then attends the concert for 180 tickets so 270-180= 90
Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9
9 PRIZES
In 2-3, graph the system of equations to find the solution to the system. Then, use the check step to prove that the solution works in both equations. Show all work
Answers
The system of equations has an infinite number of solutions.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
3x + 2y = 6 ____(1)
6x + 4y = 12 _____(2)
Applying the substitution method.
3x + 2y = 6
x = (6 - 2y)/3 in (2)
6 (6 - 2y)/3 + 4y = 12
2 (6 - 2y) + 4y = 12
12 - 4y + 4y = 12
12 = 12
This means,
It has an infinite number of solutions.
Thus,
An infinite number of solutions.
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The complete question is:
Graph the system of equations
3x + 2y = 6
6x + 4y = 12
and find the solution to the system.
PLS HELP ASAP
(50 POINTS)
What is the range of the relation {(1, 2), (2, 4), (3, 2), (4, 6)}?
A) {2,4}
B) {1, 2, 3, 4)
C) {2, 4, 6}
D) {1, 2, 3, 4, 6}
Answers
Answer:
a
Step-by-step explanation:
the answer is a
Answer:
C
Step-by-step explanation:
