2*y + 5*x < 2 hours But the units are not the same. The left side contains minutes and the right hours.
2y + 5x < 2*60
2y + 5x < 120 <<<<< Answer
Answer:
5x + 2x < 120
Step-by-step explanation:
Given:
Binh takes 5 minutes to repot each plant and 2 minutes to water each plant.
He has at most 2 hours.
Here "at most" represents by the inequality "<"
Let's convert 2 hours into minutes.
1 hour = 60 minutes
2 hours = 2×60 minutes = 120 minutes
Let x represent the number of plants to repot, and y represent the number of plants to water.
So, the given situation represented by
5x + 2x < 120
please help!! 20 POINTS
Cristoble used synthetic division to divide the polynomial f(x) by x + 3
What is the value of f(-3)
f(-3) would be 36.
When looking at synthetic division, the numbers across the top represent the coefficients of x^2, x and the constant in that order. Therefore, the equation is as follows.
2x^2 - 5x + 3
Now we can put -3 into the equation and solve.
2(-3)^2 - 5(-3) + 3
2(9) + 15 + 3
18 + 15 + 3
36
How much does the CEO earns?
p = number of items sold (note: this is not the profit)
1 item sells for $855, so p items sell for 855p dollars
Subtract off the cost of 6780 and we have the expression 855p-6780 which is the profit for that given month.
Now plug in p = 250 because 250 items were sold in that given month
855*p - 6780 = 855*250 - 6780 = 206,970
The company earns $206,970 in profit for that month. Apply 15% to this value
15% of 206,970 = (15/100)*206,970 = 0.15*206,970 = 31,045.50
---------------------------------------------------------------------------------------------------
Answer: $31,045.50 which is choice C
the average child will wear down 739 crayons by his or her 10th birthday find the number of boxes of 64 crayons this is equivalent to round to the nearest tenth
739/64 = 11.546 then round it off
what does 9x-4= -3x-8
Your answer is
x + - 1/3
9x-4= -3x-8
Move term -3x to left side
9x+3x-4=-8
Add 9x to 3x
12x-4=-8
Add 4 both sides
12x=-8+4
Subtract -8 from 4
12x= -4
Divide both sides by 12
12x/12=-4/12
Solve
X=- 1/3
HELP! PUUUUUHLEEAAAAAASE!
B. (x+5)^3+4
If you graph all the equations you can match and see the differences.
me. Ford's kitchen is in the shape of a rectangle with a width of 12.25 feet. She is buying a wallpaper border to go on all of her kitchen walls. She wants to buy 5 extra feet of the border to be sure she has enough. She buys 62.5 feet of the border. What is the length of ms. Ford's kitchen?
Answer:
The length of Ms. Ford's kitchen is 57.5 feet.
Step-by-step explanation:
1. You have the following information given in the problem above:
- The kitchen is rectangular.
- Ms. Ford wants to buy 5 extra feet of wallpaper border.
- She buys a total of 62.5 feet of wallpaper border.
2. Therefore, to calculate the length of Ms. Ford's kitchen, you only need to substract 62.5 feet and the 5 extra feet of wallpaper border. Therefore, the result is:
[tex]62.5ft-5ft=57.5ft[/tex]
by graphing the system of constraints find the values of x and y that maximize the objective function x+y<=8
2x+y<=10
x=>10
y=>0
A. (0,0)
B. (5,0)
C.(0,8)
D.(2,6)
Answer: D(2,6)
Step-by-step explanation:
To find the values of x and y that maximize the objective function
x+y≤8....(line 1)
2x+y≤10.......(line 2)
x≥0......(3)
y≥0.......(4)
we need need to plot them by the following steps.
Step 1: Find coordinates(x,y) of line(1) x+y=8
Put x=0 , we get y =8
Put y=0, we get x=8
by this we got points (0,8) and (8,0) to plot line (1)........(a)
Step 2: Find coordinates (x,y) of line(2) 2x+y=10
Put x=0 , we get y =10
Put y=0, we get 2x=10⇒x=5
by this we got points (0,10) and (5,0) to plot line (2)...........(b)
so with the help of (a) , (b) ,(3) and (4) ,we plot the given graph .
By the graph we can find that at (x,y)=(2,6) the objective function is maximized , so option D is right.
write a real-world problem that can be modeled by the inequality 10x > 5.5x + 31.5
Kim and Jane invested the same amount in two different types of investment plans.
After a certain period, Kim earned 10 times of what he invested and Jane earned $31.5 more than 5.5 times of the money she invested.
If Kim's earning is more than Jane's earning, find the minimum amount they invested at the beginning.
Let x be the money they invested at the beginning.
So, after a certain period,
Kim's earnings = 10x and
Jane's earnings = 5.5x + 31.5
Since Kim earned more than Jane,
10x > 5.5x + 31.5.
The inequality 10x > 5.5x + 31.5 can represent a scenario comparing two job offers, where one job's pay rate surpasses the other after working more than 7 hours.
A real-world problem that can be modeled by the inequality 10x > 5.5x + 31.5 could involve a scenario where you are comparing two different job offers. Assume one job offers a flat salary of $10 per hour (represented by 10x, where x is the number of hours worked), while the other job offers a base salary of $5.50 per hour plus a weekly bonus of $31.5 (represented by 5.5x + 31.5).
The inequality is asking for the number of hours (x) you must work in order for the flat salary job to pay more than the other job. To find this, you would subtract 5.5x from both sides to get the inequality 4.5x > 31.5. Dividing both sides by 4.5, you find that x must be greater than 7. Therefore, you would need to work more than 7 hours for the flat salary job to be the better choice.
What is the value of n
I believe it is D.
hope it helps
what equation results from completing the square and then factoring x^2+24x=33
Answer:
If you were to complete the square here and then factor, it would look like this: (x + 12)^2 = 177
Step-by-step explanation:
In order to complete the square, you have to take the coefficient of x (24) and cut it in half (12). Then you have to take that number and square it (144). Once you have this, you add it to both sides of the equation.
x^2 + 24x = 33
x^2 + 24x + 144 = 33 + 144
x^2 + 24x + 144 = 177
(x + 12)^2 = 177
The equation is (x + 12)² = 177, which results from completing the square and then factoring the equation x² +24x=33.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
In order to complete the square, you have to take the coefficient of x (24) and cut it in half (12). Then you have to take that number and square it (144). Once you have this, you add it to both sides of the equation.
x² + 24x = 33
x² + 24x + 144 = 33 + 144
x² + 24x + 144 = 177
(x + 12)²= 177
Therefore, the equation is (x + 12)² = 177, which results from completing the square and then factoring the equation x² +24x=33.
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what is ( 2 ^8 x 5^-5 x 19^0) ^-2 x ( 5^-2 / 2^3 ) ^4 x 2^28
Solving for this equation is 25.
I need help can you plz help me
Simplify
10/3
Convert to a mixed fraction
3 1/3
As a Science experiment, Mo and Jo want to send their model rocket into space. They need 1/6 cup of water and 1/8 Cup of a secret component. How much is there of these two components together.
Final answer:
To find the total amount of the two components, add the fractions together. The total amount of the two components combined is 7/24 cup.
Explanation:
To find the total amount of the two components, we need to add the fractions together. The common denominator of 6 and 8 is 24. So, we have 1/6 cup of water which is equivalent to 4/24 cup, and 1/8 cup of the secret component which is equivalent to 3/24 cup. Adding these fractions together, we get a total of 7/24 cup of the two components combined.
Divide. 2/5÷5/6 Express your answer in simplest form. Enter your answer in the box.
Answer:
2/5÷5/6=12/25 I hope this helps! ;)
Step-by-step explanation:
First you'd flip the second fraction, in this case we'd flip 5/6 and make it 6/5. Then we just multiply the two fractions. 2×6=12 and 5×5=25. Your anwer is 12/25.
The value of 2/5÷5/6 will be 12/25 by division.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the division,
2/5÷5/6 = (2/5) / (5/6)
If we divide two fractions then the bottom fraction will go on multiplication by the inverse.
So,
(2/5) / (5/6) = (2/5) × (6/5)
⇒ 12/25
Hence "The value of 2/5÷5/6 will be 12/25 by division".
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Jamina drove for 2 hours at an average speed of 40km/h. She then drove for 3 hours at an average speed of 50km/h. What was her average speed for the whole journey?
Remark
Average Speed = Total distance divided by total time.
Total Time
2 hours + 3 hours = 5 hours. The total time is 5 hours.
Total Distance
d = rate * time
d1 = 40 km/hour * 2 hours = 80 km
d2 = 50 km/hour * 3 hours = 150 km
d = d1 + d2
d = 80 + 150 = 230 km
Average Speed
Av = Total distance / Total Time = 230 / 5 = 46 km/hr
Write an equation of the line passing through each of the following pairs of points. (5, 7), (−6, −3)
The answer is y = 10/11x + 27/11
I attached the work in a photo.
If you have any further questions feel free to ask.
Hope this helps.
There are 75 students in grade 3. There are 44 more students in grade 4 than in grade 3. How many students are in grade 4?
There is 119 students. The key words are 'more than'. You add 75 plus 45 to get 119
If there are 75 students in grade 3. There are 44 more students in grade 4 than in grade 3. Then 119 students are in grade 4.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
There are 75 students in grade 3
There are 44 more students in grade 4 than in grade 3.
It means grade 4 has seventy five plus 44 students
Grade 3=75
Seventy five plus forty four.
Grade 4=75+44
Seventy five plus forty four is one hundred ninteen.
=119
Hence if there are 75 students in grade 3. There are 44 more students in grade 4 than in grade 3. Then 119 students are in grade 4.
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Alan already baked five cakes and he can bake one cake with each additional stick of butter he buys with 10 additional sticks of butter how many total cakes can hour to bake
evaluate the expressio
-6(-5)+12
First, multiply -6*-5. This equals (positive) 30 because the negative signs cancel out.
This leaves you with:
30+12
Doing the addition leaves you with 42.
The answer is 42.
I hope this helps :)
-6(-5)+12
Do first the parenthesis
30+12
Add 30 &12
42
How do i write 4x-2y=12 in function notation
10 1/2 * 10 1/2 simplify
[tex]\frac{441}{4}[/tex]
change the mixed numbers to improper fractions and multiply the numerators / denominators
10 [tex]\frac{1}{2}[/tex] = [tex]\frac{21}{2}[/tex]
[tex]\frac{21}{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{441}{4}[/tex] = 1110 [tex]\frac{1}{4}[/tex]
Water is poured into a conical paper cup at the rate of 3/2 in^3/sec. If the cup is 6 inches tall and the top has a radius of 3 inches, how fast is the water level rising when the water is 2 inches deep?
THE ANSWER IS IN A RED BOX BELOW
determine the intercepts of the line
Answer: It would be y-intercept: (0,-45), x-intercept:(-10,0)
In the given diagram of the coordinate plane , the x-intercept is (-10, 0) and the y-intercept is (0,-45 ).
To find the x-intercept of a line, we set y = 0.
To find the y-intercept of a line, we set x = 0.
This can be verified by looking at the graph. The line intersects the x-axis at (-10, 0) and the y-axis at (0, -45).
To find the intercepts of a line using algebra:
X-intercept:
To find the x-intercept of a line, we set y = 0 and solve the resulting equation for x.
For example, the equation of the line in the image is y = x + 10. To find the x-intercept, we set y = 0 and solve for x as follows:
0 = x + 10
x = -10
Therefore, the x-intercept of the line is (-10, 0).
Y-intercept:
To find the y-intercept of a line, we set x = 0 and solve the resulting equation for y.
For example, the equation of the line in the image is y = x - 45. To find the y-intercept, we set x = 0 and solve for y as follows:
y = 0 - 45
y = -45
Therefore, the y-intercept of the line is (0, -45).
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During track practice chris ran 2.5 laps in 81 seconds what was his average time per lap
Consider the polynomial 16x2 - 1 what is the value of ac what is the value of b
the answer is
-16
0
-4and4
(4x-1)(4x+1)
Answer:
ac= -16
b=0
[tex](4x+1)(4x-1)[/tex]
Step-by-step explanation:
[tex]16x^2 -1[/tex]
WE write the given polynomial in standard form ax^2 + bx+c
there is no x term so we include 0x
the given expression becomes
[tex]16x^2+0x-1[/tex]
The value of a= 16 , b= 0 and c=-1
[tex]ac= a*c = 16 * (-1) = -16[/tex]
The value of b = 0
Two number to multiply to get ac = -16 are 4 and -4
When we add two numbers we will get
-4 + 4= 0
using factors -4 and 4 , the expression becomes
[tex]16x^2-4x+4x-1[/tex]
[tex](16x^2-4x)+(4x-1)[/tex]
Factor out GCF
[tex]4x(4x-1)+1(4x-1)[/tex]
[tex](4x+1)(4x-1)[/tex] is the factored form
Identify the function type in the graph, and then describe a relationship that could be modeled by the function represented by the graph.
The function in this graph is to figure out the incline of something. The incline is very fast it goes from 0.8 and then stays gradually steady! then it shoot on up to 2! (or 0.2) hope you get 100!
Answer:
It is a decreasing function.
Step-by-step explanation:
Since as the numbers in X-axis is increasing the value of Y-axis get decreased, also this decrement is very little slow, thus the function type in the graph is slowly decreasing function and it touches the x-axis at the end. The graph touches the X-axis when it tends to come at (1,0).
rearrange the formula
[tex]a = \frac{bh}{2} for h[/tex]
A) h= 2ab
b)
[tex]h = \frac{a}{2b} [/tex]
c)
[tex]h = \frac{2a}{b} [/tex]
d)
[tex]h = \frac{2b}{a} [/tex]
[tex]a=\dfrac{bh}{2}\qquad|\text{multiply both sides by 2}\\\\2a=bh\qquad|\text{divide both sides by}\ b\neq0\\\\\boxed{h=\dfrac{2a}{b}}[/tex]
Answer: c)
Answer:
c
Step-by-step explanation:
i just did it :)
Yesterday, The tempature at noon was 11.4. By midnight, the temperature had decreased by 15.7 degrees. The temperature then decreased 1.2 decrease each hour from midnight to 2am. What was the temperature at 2 am
the temp at 2 am is -6.7 degrees
One half a number increased by three is greater than zero or less than or equal to negative three
let x be the name for that number, write the inequalities:
[tex]0.5x+3>0 \\0.5x>-3\\x>-6\\\mbox{OR}\\0.5x+3\leq -3\\0.5x\leq -6\\x\leq -12\\[/tex]
This number x can be anything, except anything in the interval (-12, 6] (excluding -12, and including 6). Lmk if you have questions.
Answer:
The solutions of given inequalities are [tex]x>-6[/tex] and [tex]x\leq -12[/tex] respectively.
Step-by-step explanation:
It is given that one half a number increased by three is greater than zero or less than or equal to negative three.
Let x be the unknown number.
[tex]\frac{1}{2}x+3>0[/tex] or [tex]\frac{1}{2}x+3\leq -3[/tex]
On solving first inequality,
[tex]\frac{1}{2}x+3>0[/tex]
Subtract 3 from both sides.
[tex]\frac{1}{2}x>-3[/tex]
Multiply both sides by 2.
[tex]x>-6[/tex]
On solving second inequality,
[tex]\frac{1}{2}x+3\leq -3[/tex]
Subtract 3 from both sides.
[tex]\frac{1}{2}x\leq -6[/tex]
Multiply both sides by 2.
[tex]x\leq -12[/tex]
Therefore, the solutions of given inequalities are [tex]x>-6[/tex] and [tex]x\leq -12[/tex] respectively.
HELP! multiply k + 3/4k - 2 • (12k^2 - 3)
[tex]\dfrac{k+3}{4k-2}\cdot(12k^2-3)=\dfrac{(k+3)(12k^2-3)}{(2)(2k)-(2)(1)}\\\\=\dfrac{(k+3)[(3)(4k^2)-(3)(1)]}{2(2k-1)}=\dfrac{(k+3)(3)(4k^2-1)}{2(2k-1)}\\\\=\dfrac{3(k+3)[(2k)^2-1^2]}{2(2k-1)}=\dfrac{3(k+3)(2k-1)(2k+1)}{2(2k-1)}=\dfrac{3(k+3)(2k+1)}{2}[/tex]
[tex]\text{Used}\\\\a(b\pm c)=ab\pm ac\\\\a^2-b^2=(a-b)(a+b)[/tex]