9514 1404 393
Answer:
7+(7–7) ÷(7+7•7)= 7
Step-by-step explanation:
The difference 7 - 7 provides an opportunity to zero out everything to its right. That's what we've done in this version:
7 +(7 -7) ÷ (7 +7×7) = 7 . . . our version of the equation
7 +0 ÷ (7 +49) = 7 . . . . . multiplication inside parentheses first
7 +0 ÷ 56 = 7 . . . . . . . . parentheses first
7 +0 = 7 . . . . . . . . . . . . division before addition
Cameron works at an electronics store as a salesperson. Cameron earns a 4% commission on the total dollar amount of all phone sales he makes, and earns a 6% commission on all computer sales. Cameron made a total of $3600 in sales and earned $178 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Cameron made and the dollar amount of computer sales he made. Define the variables that you use to write the system.
Step-by-step explanation:(4/100x)+(6/100y)=178---------(i)
2х+3y=8900-----------(i)
x+y=3600---------(ii)
where x is phone
y is pen
The system of equations that describes the situation are 4x + 6y = 17800 and x + y = 3600.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Let the cost of 1 phone is x dollars and cost of 1 computer is y dollars.
Cameron earns a 4% commission on the total dollar amount of all phone sales he makes and earns a 6% commission on all computer sales.
∴ (4/100)x + (6/100)y = 178
4x + 6y = 17800...(i)
Cameron made a total of $3600 in sales.
∴ x + y = 3600...(ii)
Now to solve the equations we'll multiply eqn(ii) by 4 or 6 to cancel out x or y, and then we'll substitute the numerical value of x or y in any of these equations.
learn more about linear equations here :
https://brainly.com/question/13738061
#SPJ2
changing improper fractions to mixed numbers worksheet
Divide the numerator by the denominator to create a mixed number from an incorrect fraction. The mixed number is created after the division in such a way that the achieved quotient becomes the whole number, the leftover becomes the new numerator, and the denominator stays the same.
A mixed number is one that combines both a proper fraction and a full number. Mixed fractions are another name for mixed numbers.
A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. "Top-heavy" fractions are sometimes used to describe improper fractions.
Follow these procedures to convert a mixed number to an incorrect fraction:
1. Divide the entire number by the numerator.
2. Increase the numerator by that sum.
3. Add that total to the denominator from the previous step.
To learn more about changing improper fractions to mixed numbers link is here
brainly.com/question/16676142
#SPJ4
The table shows the total distance that Myra runs over different time periods.
A 2-column table with 5 rows titled Time and Distance Ran by Myra. The first column is labeled Time (minutes) with entries 0, 2, 4, 6, 8. The second column is labeled Distance (miles) with entries 0.0, 0.4, 0.8, 1.2, 1.6.
Distance is increasing with a speed of 0.2 Miles/Min
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Time in Minutes Distance in Miles
0 0.0
2 0.4
4 0.8
6 1.2
8 1.6
Here, Myra’s distance is increasing as time increase with a constant Speed.
Now, In every 2 mins distance traveled = 0.4 Miles
Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min
Thus, Distance is increasing with a speed of 0.2 Miles/Min.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Miriam is 5 cm taller than her sister,who is ? cm tall.write an expression of mia's height in cm.
The expression of Mia's height in cm is 5 + x
How to write an expression of Mia's height in cm?The given parameters are
Mia's height = 5 cm taller than her sister
Her sister's height = x
The parameter "Mia's height = 5 cm taller than her sister" means that
Mia's height = 5 cm + her sister's height
Substitute Her sister's height = x in Mia's height = 5 cm + her sister's height
Mia's height = 5 cm + x
This means that the expression of Mia's height in cm is 5 + x
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
Urgent please help! Which graph best represents a counterclockwise 180 rotation from the origin from of the figure below?
Answer:
The first answer
Step-by-step explanation:
Please help super fast i need the answer
Answer:
I think it's the first one but i'm not 100% sure
Step-by-step explanation:
Which expression represents the perimeter of the rectangle above?
06x + 2
O 12x - 8
O 6x - 4
O 12x + 2
Answer:
12x-8
Step-by-step explanation:
Added both equations and used PEMDAS to combine all equations
Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
To know more about differential equation:
https://brainly.com/question/2273154
#SPJ4
The probability distribution for the number of defective items in a random sample is as follows: x: 0 1 2 3 4 p(x) : 1 0.15 13 07 0.55
calculate:
expected value of X = ____
From the probability distribution for the number of defective items in a random sample, the expected value of X is 2.82.
To calculate the expected value of X, we need to multiply each possible value of X by its corresponding probability and sum them up.
The expected value of X, denoted as E(X) or μ, is calculated using the formula:
E(X) = ∑ (x * p(x))
where x represents each possible value of X and p(x) represents the corresponding probability.
In this case, the probability distribution for X is given as follows:
x: 0 1 2 3 4
p(x): 0.1 0.15 0.13 0.07 0.55
To calculate the expected value, we perform the following calculations:
E(X) = (0 * 0.1) + (1 * 0.15) + (2 * 0.13) + (3 * 0.07) + (4 * 0.55)
E(X) = 0 + 0.15 + 0.26 + 0.21 + 2.2
E(X) = 2.82
The expected value represents the average value or mean of the probability distribution. In this case, it represents the average number of defective items we expect to find in a random sample based on the given probabilities.
To learn more about expected value click on,
https://brainly.com/question/31319639
#SPJ4
You rent an apartment that costs \$1600$1600 per month during the first year, but the rent is set to go up \$130$130 per year. What would be the monthly rent during the 8th year of living in the apartment?.
The monthly rent during the 8th year of living in the apartment will be $2510
The cost of the apartment per month in the first year is $1600
The rent is set to go up by $130 per year
The monthly rent during the 8th year of living in the apartment
This can be calculated by using arthimetic progression
here a = 1600
d = 130
We need to caluclate a₈
a₈th = a + (8-1)d
= 1600 + 7 x 130
1600 + 910
= 2510.
Therefore, the monthly rent during the 8th year of living in the apartment will be $2510
To learn more about arthimetic progression refer here
https://brainly.com/question/7882626
#SPJ4
which of the relations given by the following sets of ordered pairs is a function?
a. {(5,2),(4,2),(3,2),(2,2),(1,2)}{(5,2),(4,2),(3,2),(2,2),(1,2)}
b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}
c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}{(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}
d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}
{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.
{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.
In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.
The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.
Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}
No two ordered pairs have the same value of the x coordinate.
So it is a function.
Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}
Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).
So, it can not be considered a function.
Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}
No two ordered pairs have the same value of the x coordinate.
So it is a function.
Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}
No two ordered pairs have the same value of the x coordinate.
So it is a function.
Therefore, Options (a), (c), and (d) are the functions.
Option (b) is not a function.
For more questions on ordered pairs as function
https://brainly.com/question/11267211
#SPJ4
I need helpp please do as many as u can but can you please do the whole thing thank youuuuuu
The values of following in parallel lines are:
Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).
Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).
Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).
Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).
Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).
Option B: 23 is not an example of supplementary angles.
Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.
Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.
Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.
What is parallel lines?Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.
To know more about parallel lines,
https://brainly.com/question/31412993
#SPJ1
✨PLEASE HELP✨ it’s due soon
Answer:
x = 5
Step-by-step explanation:
6x - 2y = 22
y = -2x +14
30 - 2y = 22. So y = 4
4 = -2x + 14
-10 + 14
4 = 4
HOPE THIS HELPS
Answer:
x=5
Step-by-step explanation:
6x-2y=22
y=-2x +14
6x-2(-2x+14)=22
6x+4x-28=22
10x= 22+28
10x = 50
x= 50/10
x=5
Which graph shows the line y = x + 1?
Due May 4Attendance Question (5/4/21) A cab company charges a$5 boarding rate in addition to its meter which is $3 forevery mile. What equation represents the rate of thiscompany?
Explanation
Step 1
Let x represents the number of hours
Let y represents the rate of the company
and
cost per hour = $3
so, the total cost per time is
cost per time= 3* number of hours
cost per time==3x
now, the company charges a $5 boarding rate
so, the rate is
\(\begin{gathered} \text{rate= boarding rate}+\text{cosper times} \\ reaplce \\ y=\text{ \$5+\$3x} \\ \text{reorder} \\ y=\text{ \$3x}+\text{\$5} \end{gathered}\)I hope this helps you
What is the formula to find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
The probability of event A is P(A) = 1/4 or 0.25.
The formula to find P(A) for a series of simple events is:
P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)
For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:
- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.
Visit to know more about Probability:-
brainly.com/question/13604758
#SPJ11
what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction
PLSSS SOMEONE ANCWEE THISS BEGGINGG.
Answer:
The sum of zeros is \(\frac{61}{6}\)
Step-by-step explanation:
The Rule of Zero Product
The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:
If a.b=0, then a=0 or b=0
The equation
(m-10)(6m-1)=0
can be solved by applying the mentioned rule:
\(m-10=0 \ \ \Rightarrow m=10\)
\(6m-1=0 \ \ \Rightarrow m=1/6\)
The sum of both solutions is:
\(\displaystyle 10+\frac{1}{6}=\frac{61}{6}\)
The sum of zeros is \(\mathbf{\frac{61}{6}}\)
Please help me its due on wen but it needs to be turned in on tue night at 12
Answer:
C
Step-by-step explanation:
you just have to find the surface area here. 2(2x10) = 40 this is the area of both the sides. then 2(15×10) = 300 this is the area of the top and the bottom. after that we will find the area of the the back and the front side which is 2(15×2) = 60. finally we will add them up. 40+300+60= 400 in^2. remember the surface area is 2(lw + wh + hl) where I is the length w is the width and h is the height
(12pts/homework)Which best describes end behavior
The volume of this cone is 643,072 cubic inches. What is the radius of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius of the cone is 783.84/√h
What is volume of a cone?A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of a cone is expressed as;
V = 1/3πr²h
643072 × 3 = 3.14 × r²h
r²h = 614400
r² = 614400/h
r = 783.84/√h
therefore the radius of the cone is 783.84/√h
learn more about volume of cone from
https://brainly.com/question/1082469
#SPJ1
8. Which graph matches the inequality Xs 10 ?
Answer:
option three
Step-by-step explanation:
x cannot be greater than 10 so it is going to be going to the left
because it is a less than or equal to it will have a closed circle
Chase ordered a set of beads. He received 4,000 beads in all. 3,000 of the beads were green. What percentage of the beads were green?
75% of the beads are green in color.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Chase ordered a set of beads
He received 4,000 beads in all.
3,000 of the beads were green.
We need to find the percentage of the beads were green of 4000.
x/100×4000=3000
40x=3000
Divide both sides by 40
x=75%
Hence, 75% of the beads are green in color.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ1
The graph of $f(x)$ is shown below.
For each point $(a,b)$ on the graph of $y = f(x),$ the point $\left( 3a - 1, \frac{b}{2} \right)$ is plotted to form the graph of another function $y = g(x).$ For example, $(0,2)$ lies on the graph of $y = f(x),$ so $(3 \cdot 0 - 1, 2/2) = (-1,1)$ lies on the graph of $y = g(x).$
(a) Plot the graph of $y = g(x).$ Include the diagram in your solution.
(b) Express $g(x)$ in terms of $f(x).$
(c) Describe the transformations that you would apply to the graph of $y = f(x)$ to obtain the graph of $y = g(x).$ For example, one transformation might be to stretch the graph horizontally by a factor of $5.$
Answer:
See attached
Step-by-step explanation:
The graph of both f(x) and g(x) attached
g(x) obtained from f(x) by x→ 3x - 1 and y → y/2 transformation rule
The transformation to get g(x) would be:
Vertical compression by a factor of 2Horizontal shrink by a factor of 3f(x) is the blue graph
g(x) is the red graph
Answer:
Step-by-step explanation:
ask the message board ! :)
Kimberly had a coupon for 15% off the purchase of one item she decided to buy a pair of jeans that was on sale for 2/3 of the original price after using the coupon Kimberly only pay $10 for the pair of jeans what was the original price of the jeans
Answer
Price after discount: $50.99
You saved: $9.00
With original price $59.99 and 15% discount,
3(5x-2)=15x-6 is their a solution or no
Answer: 0 = 0
Step-by-step explanation: there is no solution
The variance of a group of scores is 9. What is the standard deviation? a) 3 b) 4.5 c) 81
The standard deviation is the square root of the variance. Therefore, in this case, the standard deviation is the square root of 9, which is equal to 3. So the answer is a) 3.
The standard deviation is a statistical measure of how far a set of data values deviates from the mean (average) of the data set. It assesses how dispersed the data is in relation to the mean. In other words, it informs us how far the individual data points depart from the data set's average. A large standard deviation implies that the data is widely dispersed from the mean, whereas a small standard deviation suggests that the data is tightly grouped around the mean. Standard deviation is symbolised by the symbol σ for the population and s for a sample. It is widely used to analyze and understand data in a variety of domains, including finance, economics, physics, biology, and social sciences.
For such more question on standard deviation:
https://brainly.com/question/18648874
#SPJ4
Which figure represents a translation?
At the skating rink, sean and patrick
spent $17. 45 on admission and snacks.
they used one coupon for $2 off the
admission. the snacks cost $5. 95. what
is the regular admission cost for one?
The regular admission cost for one is $4.75.
At the skating rink, Sean and Patrick spent $17.45 on admission and snacks.
They used one coupon for $2 off the admission.
So they spent cost on admission and snacks after off = 17.45 - 2
They spent cost on admission and snacks after off = 15.45
The snacks cost $5.95.
So the cost of admission = They spent cost on admission and snacks after off - The snacks cost
The cost of admission = 15.45 - 5.95
The cost of admission = 9.5
The cost both Sean and Patrick for regular admission = 9.5
So, the cost of Sean for regular admission = 9.5/2
The cost of Sean for regular admission = $4.75
To learn more about finding the cost of one link is here
brainly.com/question/20131928
#SPJ4
Forty-five thousand dollars was raised in the charity drive. This was nine tenths of the goal. A. The goal of the charity drive was to raise how much money?
Answer:
Goal = x
45000 = 9/10 * x
x = 45000 * 10/9 = 50000
Step-by-step explanation:
You may find something useful on my you tube channel "Sciency Sergei". You may also suggest a topic to discuss or problems to solve.
HELP ASAP PLEASE!!!!
Answer:
q=(1,5) t=(-2,3)r=(3,-1)s=(0,0)
Step-by-step explanation: