Answer:5
Step-by-step explanation:
Fred makes $750 a week working 5 days .How much does he make in one day
Answer:
$150
Step-by-step explanation:
750/5 = 150
Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equation for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)
The equation of line m, in point-slope form is: y + 3 = 4(x - 1)
Recall:
The slopes of parallel lines are equal to each other.Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.Point-slope form equation is: [tex]y - y_1 = m(x - x_1)[/tex] where, [tex](x_1, y_1)[/tex] is a point and m is the slope.Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute [tex](x_1, y_1)[/tex] = (1, -3) and m = 4 into [tex]y - y_1 = m(x - x_1)[/tex]:
[tex]y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}[/tex]
Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)
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A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answer:
13.9 ft
Step-by-step explanation:
Heather works 40 hours a week and she earns $11. 50 per hour. When Heather works over 40 hours, her pay is 1. 5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?.
The amount that Heather earns if she works 46 hours in one week is; $563.5
Amount she earns per hour if she works for 40 hours a week = $11.5 per hour
If she works over 40 hours, her hourly pay is 1.5 times the previous rate.
Thus;
Amount she earned for 40 hours is;
11.5 × 40 = $460
Amount she earned for the 6 extra hours to make it 46 hours is;
1.5 × 11.5 × 6 = $103.5
Total amount she earned for the 46 hours = $460 + $103.5 = $563.5
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What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?
Answer:
if it is (2x-y)8
then it is 16x - 8y
[tex]x^0[/tex]y = 1.y = y
so the co efficient of y is -8
Step-by-step explanation:
Kimi and Jordan are each working during the summer to earn money in addition to
their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour
at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his
allowance is $16 each week.
Their earnings would be the same after 4 hours
Let the number of hours be x, and the weekly earning be y
So, the given parameters are:
Kimi
Earnings = $9 per hourWeekly allowance = $8So, the equation for Kimi's weekly earning is:
[tex]y =9x + 8[/tex]
Jordan
Earnings = $7 per hourWeekly allowance = $16So, the equation for Jordan's weekly earning is:
[tex]y = 7x + 16[/tex]
Equate both equations
[tex]7x + 16 = 9x + 8[/tex]
Collect like terms
[tex]9x - 7x = 16 - 8[/tex]
[tex]2x =8[/tex]
Divide both sides by 2
[tex]x =4[/tex]
Hence, their earnings would be the same after 4 hours
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Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4xâ’4y=â’4x 4 Select the correct answer from the drop-down menu.
The system of equations is consistent and dependent and it can be determined by using the properties of the equation.
Given that,
System of the equation,[tex]\rm y=4x-4\\y=-4x+4[/tex]
We have to determine,
The system of equations is consistent and independent, consistent and dependent, or inconsistent.
According to the question,
When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.
System of the equation,[tex]\rm y=4x-4\\y=-4x+4[/tex]
On adding both the equation,
[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]
Substitute y = 0 to evaluate the value of x.
[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]
The solution of the equation is (1, 0).
Hence, The system of equations is consistent and dependent.
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There are 70 seats on a train. 30% of the seats are empty. How many empty seats are there
on the train?
Answer:
21
Step-by-step explanation:
70/10=7
So 7 people are 10% of the train.
10*3=30
7*3=21
21 empty seats
Answer
21
Step-by-step explanation:
The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070
Omar just accepted a job at a new company where he will make an annual salary of $52000. Omar was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Omar make as a salary after 10 years working for the company? What would be his salary after
t
t years?
Answer:
1: $92000 2: 52000 + 4000t= current salary
Step-by-step explanation:
1: simple arithmetic, 52000 + 4000(10)=92000
2: equation is formed as InitialSalary + 4000*(years at company) = New Salary
or with other variables, 52000+4000*t=N
22 - (+12) - (-4) + (-6)
Answer:
8
Step-by-step explanation:
+- = --- = ++- = -++ = +22-12+4-6 = 8
how many roots does the quadratic function h(x)+=x2^2-3x+6 have
The quadratic function h(x) = x² - 3x + 6 has 2 roots.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, quadratic, cubic etc.
A quadratic polynomial has a degree of 2, hence it has only 2 roots.
The quadratic function h(x) = x² - 3x + 6 has 2 roots.
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Plz solve the problem.
Answer:
x = 7
Step-by-step explanation:
What are the coordinates of the image Triangle ABC reflection over the line y=x ( please help!!)
Answer:
A (2,-1)
B (-3,-2)
C (-2,1)
Step-by-step explanation:
A (-2,-1), B (3, - 2), and C (2,1)
Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.
A’ (2,-1), B’ (-3, -2), and C’ (-2,1)
15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
her to make $425.
Answer:
4.2
Step-by-step explanation:
assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%
The final answer is 9 percent
Hilda adds 5 to a number, then multiplies the sun by -2. The result is 6. Write and solve an equation to find the number, x. What is the number?
Answer:
-8
Step-by-step explanation:
-2*(x+5)=6
Divide both sides by -2
x+5=-3
x=-3-5
x=-8
Solve for x
−4x+60<72 OR 14x+11<-31
Answer:
x ≠ -3
Step-by-step explanation:
Adding 4x-72 to the first inequality gives ...
-12 < 4x
-3 < x . . . . . divide by 4
Adding -11 to the second inequality gives ...
14x < -42
x < -3 . . . . divide by 14
Now we have ...
x < -3 or x > -3
The solution is x ≠ -3.
_____
The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.
emliy is thinking of a number which she calls n she find 1/4 of the number and then subtracts 3. write an expressions that represents emlily number.
Answer:
1/4 n - 3.
Hope this helps, sorry if it doesn't.
How to solve this question?
Answer: -3
Step-by-step explanation:
The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]
i really need help... factor by the simplest form 46xy^5
select all values equal to -4/5
Answer:
C and E
Step-by-step explanation:
the position of the minus either up or down affects both the numerator and denominator.
but if both number have minus the minus cancels each other
Answer:
B, C, E
Step-by-step explanation:
A is -/- and therefore +
B is - -/- = -+ = -
C is -/+ = -
D is - -/+ = -- = +
E is +/- = -
What is the value of 24 + 32 - 52
The population proportion for a certain characteristic is 0.28. In a sample of
100 people, 25 had that characteristic.
Which equation correctly describes the point estimate?
A. P = 0.28
B. p = 0.28
O c. p = 0.25
D. p = 0.25
Answer:
B. p= 0.25
Step-by-step explanation:
Pls give brainliest if helps
Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round,he had 7 points. Express the change in points in the most recent round as an integer
Answer:
I think the answer would be +15.
Step-by-step explanation:
The change in points in the most recent round as an integer is given by 15 points.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round, he had 7 points.
Assume that the change in points in the most recent round as an integer is given by [ΔR].
At -
R{7} = - 8 points
R{8} = 7 points
ΔR = R{8} - R{7}
ΔR = 7 - (- 8)
ΔR = 7 + 8
ΔR = 15 points
Therefore, the change in points in the most recent round as an integer is given by 15 points.
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in need of help. plz
Evaluate the following expression if c = 8 and d = -5
3 * (c+d
Hi,
if c = 8 and d = -5:
3*(c + d) <=> 3*(8 + (-5))
= 3*(8 - 5)
= 3*3
= 9
✅^_^
Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64
Answer:
[tex]x=\pm2[/tex]
Step-by-step explanation:
[tex]f(x)=4x^4-64[/tex]
[tex]0=4x^4-64[/tex]
[tex]0=x^4-16[/tex]
[tex]16=x^4[/tex]
[tex]\pm2=x[/tex]
Kameron wrote the following equation:
4x - (x - 3) = 18
Using the distributive property, what would her next step be?
Answer:
hope it helps you..........
(3)
Lea wants to make two pillows for her new couch. She needs 3 square yards of fabric for the first pillow and 1, square
yards of fabric for the second pillow. Lea wants to know how much fabric she will have to buy for both pillows.
Which expression represents the total number of square yards of fabric she needs for both pillows?
The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
let
x = first pillow
y = second pillow
fabrics needed for first pillow = 3 yards
fabrics needed for second pillow = 1 yards
z = Total square yards needed
The equation:
3x + y = z
Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
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Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
let
x = first pillow
y = second pillow
fabrics needed for first pillow = 3 yards
fabrics needed for second pillow = 1 yards
z = Total square yards needed
The equation:
3x + y = z
Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
Step-by-step explanation: