Answer:
Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)
Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games)
Step-by-step explanation:
The unit rate is the rate per unit of a quantity, that is the rate at which the denominator has been made a unit or one
The given parameters are;
The number of hours of homework or reading Jonathan needs to do for his parents to allow him to play video games for 30 minutes = 2 hours
The number of hours of homework or reading Lucas needs to do for his parents to allow him to play video games for 30 minutes = 1.5 hours
We note that 30 minutes = 0.5 hours
For Jonathan we have
Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)
Unit rate = (2 hours)/(0.5 hours) = 4 hours of reading or homework per hour of paying video games
Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)
For Lucas we have
Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)
Unit rate = (1.5 hours)/(0.5 hours) = 3 hours of reading or homework per hour of paying video games
Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games).
What fraction is half of 1/3 and 1/4
Answer:
im not entirely sure what you're asking so here are some example answers
half of (1/3 + 1/4)
= half of (7/12) = 7/24
half of 1/3 = 1/6
half of 1/4 = 1/8
Point R is on line segment QS. Given RS=11 and QS=19, determine the length QR.
================================================
Explanation:
R is between Q and S and on segment QS, allowing us to say
QR + RS = QS
because of the segment addition postulate.
-------
Use substitution and solve for QR
QR + RS = QS
QR + 11 = 19
QR = 19 - 11 .... subtracting 11 from both sides
QR = 8
9x square divided by 3x
9x^2/3x
= 3x
...................
Answer:
3x
Step explanation:
[tex]\frac{9x^{2}}{3x}=\frac{3*3*x*x}{3*x}=3x[/tex]
PLEASE ANSWER!!! Select the correct answer from each drop-down menu. Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.
Function transformation involves changing the position of a function.
The graph of g(x) is the graph of f(x) translated 2 units right, and [tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]
The function is given as:
[tex]\mathbf{f(x)=3x + 1}[/tex]
The graph of g(x) passes through (2,1) and (0,-5).
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{-5-1}{0-2}}[/tex]
[tex]\mathbf{m = \frac{-6}{-2}}[/tex]
[tex]\mathbf{m = 3}[/tex]
The equation is then calculated as:
[tex]\mathbf{g(x) = m(x -x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]
By comparing [tex]\mathbf{f(x)=3x + 1}[/tex] and [tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]
The graph of f(x) is shifted 2 units to the right
Read more about function transformation at:
https://brainly.com/question/13810353
Is (3,8) a solution to the inequality 14x + 12y = 12?
If 8x = 24, then 24= 8x what property is this
Answer:
it is transitive property
as, a=b
also, b=a
Step-by-step explanation:
There are 2 Rectangles, a red one and a blue one.The Blue rectangle has the perimeter of 250 km. If the area of the red rectangle is 2,500 square kilometers, what are its dimensions?
(Both of the rectangles have the same perimeter)
Answer:a
Step-by-step explanation:
Answer:
length = 100
width = 25
Step-by-step explanation:
Let L = length of red rectangle
Let H = height of red rectangle
Equation1: L+H=125 : we know the perimeter is 250 so L+H is 125
Equation2: L*H=2,500 : we know the area is 2,500
Equation3: L=125-H : subtracted H from both sides of Equation1
Equation4: (125-H)*H=2,500 : substituted "125-H" for L into Equation2
Solve equation4:
(125-H)*H=2,500 multiple terms on left side of equation
125H - H^2 = 2,500 rearrange into standard form
H^2 - 125H + 2,500 = 0
At this point you can "brute force" the answer with the quadratic formula:
H = (125 ± SQRT(125^2 - 4*1*2500) ) / 2
H = 100 or H = 25 : actually these are L and H
You could also factor the equation:
(H - 100) * (H - 25) = 0 : gives same answe
I’m struggling bad! If you need a better pic I can
Answer:
could i have the website info or the image clearer so i could try and help you
Step-by-step explanation:
Verizon charges a $40 sign up fee and $60 a month for their new hotspot. T-Mobile charges a $100 sign up fee and then $40 per month for their new hotspot. After how many months of service will the two company's fees be the same?
It will take 3 months for both company's fees be the same
Let
y = total charges
x = number of months
Verizon:
y = 40 + 60x
T-Mobile:
y = 100 + 40x
Number of months it will take both companies to charge the same fee
Equate the total charges of both companies
40 + 60x = 100 + 40x
40 - 100 = 40x - 60x
-60 = - 20x
x = -60 / -20
x = 3 months
https://brainly.com/question/24374422
What is the DOMAIN for rational function?
Answer:
The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .
Step-by-step explanation:
i google this l M A O
A rational function's domain includes all real numbers x except those with a denominator of zero.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A rational function's domain includes all real numbers x except those with a denominator of zero. To locate these x values that are not in the domain of a rational function, set the denominator to zero and solve for x.
Hence, A rational function's domain includes all real numbers x except those with a denominator of zero.
Learn more about Function here:
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#SPJ2
Help pls! Gotta be done before I go to work :((
Answer:
A = 104 ft²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ are the parallel bases
Here h = 8, b₁ = 10 + 6 = 16, b₂ = 10 , then
A = [tex]\frac{1}{2}[/tex] × 8 × (16 + 10) = 4 × 26 = 104 ft²
math is a bummer bro
Answer:
alr let's start
one clock 12 hrs => 360 °
so 1hr=> 30°
now visualise clock with struck 8
between 12 and 8 from smaller angle we get that there are 4 hrs in between so
4 × 30 = 120°
done Dana done done
Answer:
ANGLE=120°
SEE THE IMAGE FOR SOLUTION
Rhonda bought a new laptop for $500. The laptop
depreciates, or loses, 10% of its value each year. The
value of the laptop at a later time can be found using
the formula A - P(1 - 1)', where P is the original
value, r is the rate of depreciation written as a decimal,
and t is the number of years since it was purchased,
What will the laptop be worth in two years?
In two years, the laptop will be worth $________.
The solution is ______ ?
Answer:
405
Step-by-step explanation:
A = P(1-r)^t
A = 500 (1-.1)^2
A = 500 (.9)^2
= 500*0.81
= 405
Two cyclists, 63 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as
the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?
a. Write an equation using the information as it is given above that can be solved to answer this problem.
Use the variable r to represent the speed of the slower
cyclist.
b. What is the speed of the faster cyclist?
mi/hr
Answer:
a) 9r=63
b) 14 mi/h
Step-by-step explanation:
Let say r the speed of the slower cyclist,
2*r the speed of the faster cyclist,
they meet 3 hours later:
a)
(r+2*r)*3=63
3r*3=63
9r=63
r= 63/9
r=7 (mi/h)
b)
2r=14 (mi/h)
Given: In Parallelogram ABCD,
• mA = (7y+13)º
• m2B = (106 - 2x)º
• mC = (10y - 32)º
• m2D = (3x – 4)º
What are the values of x and y
Answer:
x = 110
y = 15
Step-by-step explanation:
AB is parallel to CD
angle B and angle D are alternate and they are equal
106-2x = 3x-4
106 + 4 = 3x - 2x
110 = x
same goes for y
7y + 13 = 10y - 32
13 + 32 = 10y - 7y
45 = 3y divide both sides by 3
15 = y
this is progression
i need to know C plsssss
thankssssssssssßsssssss
Answer:
[tex]l = 28[/tex]
Step-by-step explanation:
Given
[tex]S = \sum (2k - 3); k = 4\ to\ l[/tex]
Required
What is l when S = 725
This can be solved using Sum of n terms of an AP;
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
Where
[tex]S_n = 725[/tex]
[tex]T_1 = first\ term[/tex]
To get T1; we substitute 4 for k in 2k - 3
[tex]T_1 = 2 * 4 - 3[/tex]
[tex]T_1 = 8 - 3[/tex]
[tex]T_1 = 5[/tex]
[tex]T_n = last\ term[/tex]
To get Tn; we substitute l for k in 2k - 3
[tex]T_n = 2 * l - 3[/tex]
[tex]T_n = 2l - 3[/tex]
n = the number of terms;
Since k = 4 to l, then
[tex]n = l - 4 +1[/tex]
[tex]n = l - 3[/tex]
Substitute these values in [tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
[tex]725 = \frac{l-3}{2}(5 + 2l - 3)[/tex]
Collect Like Terms
[tex]725 = \frac{l-3}{2}(2l + 5- 3)[/tex]
[tex]725 = \frac{l-3}{2}(2l + 2)[/tex]
Open the bracket
[tex]725 = \frac{l-3}{2} * 2l + \frac{l-3}{2} * 2[/tex]
[tex]725 = (l-3) * l + (l-3)[/tex]
[tex]725 = l^2-3l + l-3[/tex]
[tex]725 = l^2-2l -3[/tex]
Subtract 725 from both sides
[tex]725 - 725 = l^2-2l -3 - 725[/tex]
[tex]l^2-2l -3 - 725 = 0[/tex]
[tex]l^2-2l - 728 = 0[/tex]
[tex]l^2 + 26l - 28l - 728 = 0[/tex]
[tex]l(l + 26) - 28(l + 26) = 0[/tex]
[tex](l - 28)(l + 26) = 0[/tex]
[tex]l - 28 = 0[/tex] or [tex]l + 26 = 0[/tex]
[tex]l = 28[/tex] or [tex]l = -26[/tex]
But l must be positive;
Hence, [tex]l = 28[/tex]
Brenda has an associate’s degree earning the median salary. She wants to quit working and go to college to get just a basic bachelor’s degree. If she completes her degree in 2 years and it costs $15,000, how long will it take her to recover her investment assuming that she earns the median salary? A graph titled Median Annual Household Income by Educational Attainment of Householder, 1997. Professional degree, 92,228 dollars; doctorate degree, 87,232 dollars; master's degree, 68,115 dollars; Bachelor's degree or more, 63,292 dollars; Bachelor's degree, 59,048 dollars; associate degree, 45,258 dollars; some college, no degree, 40,015 dollars; high school graduate, 33,779 dollars; ninth to twelfth grade, 19,851 dollars; than twelfth grade, 15,541 dollars. a. almost 6 years b. almost 7 years c. almost 8 years d. almost 9 years
Answer:
a. almost 8 years
Step-by-step explanation:
Brenda's expected annual increase in salary is ...
$63,292 -45,258 = $18,034
If we assume that Brenda's cost of education includes going without 2 years' salary as well as the cost of tuition, her degree's total cost will be ...
2×$45,258 +15,000 = $105,516
__
Once Brenda starts earning again, she is recovering this cost at the rate of $18,034 per year, so it will take ...
$105,516/($18,034 /yr) = 5.85 yr
to recover that cost.
Since Brenda spent 2 years in school, from the time she decides to start school until she has recovered her cost, it will be 2 + 5.85 = 7.85 years, almost 8 years.
_____
If Brenda can continue working while going to school, she can recover her tuition cost in about 10 months after graduation.
Answer:
C
Step-by-step explanation:
Click on the graphic to select the figure that would make the following "a reflection in line k."
Answer: Choice A (both are smiley faces)
This is because the reflection doesn't flip the faces upside down or anything (instead it does a left-right swap in a way). This is why both faces are smiley faces.
how do you solve this
Answer:
yo what concept is this
Step-by-step explanation:
shirley purchased a plot of land for $19,500. the land appreciates about 3.9% each year. what is the value of the land after 5 years
Answer:
$23,302.50
Step-by-step explanation:
13. A pair of shoes sell for $27 per pair. There is a sale tomorrow on shoes offering two pairs for $45.
How much will 3 pairs of shoes cost today?
Answer:
$72
Step-by-step explanation:
The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.
The cost of 3 pair of shoes
= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes
= $45 + $27
= $72
So, 3 pairs of shoes will cost $72 today.
what is the solution to 2(3x+4)=20
Answer:
x=36
Step-by-step explanation:
Answer: X=2
Step-by-step explanation: you want to distribute the 2 to the 3x and 4. That will give you 6x+8 now you want to subtract 8 from both sides. That will give you 6x=12 and you divide both sides by 6 and your final answer should be X=2. :)
20 POINTS!! What is the greatest common factor (GCF) of 100^2 - 250xy + 75x?
A. X
B. 25x^2
C. 25x
D. 5x
Answer:
Step-by-step explanation:
25x(4x -10y + 3)
the solution is C. 25x
If y = 3x +1 were changed to y = x+1, how would the graph of the new function
compare with the original?
A. It would be shifted down.
B. It would be shifted up.
C. It would be less steep.
D. It would be steeper.
Answer:
Step-by-step explanation:
The standard form of a linear equation, a line, is y = mx + b, where m is the slope. The rule is the higher this value of m, the steeper the graph is. If we have the original equation y = 3x + 1, its slope m is 3; in the "new" equation, y = x + 1, its slope is 1. So the "new" equation would be less steep because the slope is a lower value than the original.
Mention any two effects of load shedding.
Answer:
loss of work and deficiency in progress
disturbance in schedule
Answer:
Shortage of gas
interruption in water supply for households that access piped water from the local municipality
Loss of profit for businesses
Step-by-step explanation:
16 - 2r = 3r + 6r + 1
what is r?
[tex]\\ \sf\longmapsto 16-2r=3r+6r+1[/tex]
[tex]\\ \sf\longmapsto 16-2r=9r+1[/tex]
[tex]\\ \sf\longmapsto 16-1=9r+2r[/tex]
[tex]\\ \sf\longmapsto 11r=15[/tex]
[tex]\\ \sf\longmapsto r=\dfrac{15}{11}[/tex]
Answer: r = 15/11
Step-by-step explanation:
Given
16 - 2r = 3r + 6r + 1
Combine like terms
16 - 2r = 9r + 1
Add 2r on both sides
16 - 2r + 2r = 9r + 1 + 2r
16 = 11r + 1
Subtract 1 on both sides
16 - 1 = 11r + 1 - 1
15 = 11r
Divide 11 on both sides
15 / 11 = 11r / 11
[tex]\boxed{r=\frac{15}{11} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Given the equations of a straight line f(x) (in slope-intercept form) and a parabola g(x) (in standard form), describe how to determine the number of intersection points, without finding the coordinates of such points. Do not give an example.
Answer:
Step-by-step explanation:
Hello, when you try to find the intersection point(s) you need to solve a system like this one
[tex]\begin{cases} y&= m * x + p }\\ y &= a*x^2 +b*x+c }\end{cases}[/tex]
So, you come up with a polynomial equation like.
[tex]ax^2+bx+c=mx+p\\\\ax^2+(b-m)x+c-p=0[/tex]
And then, we can estimate the discriminant.
[tex]\Delta=(b-m)^2-4*a*(c-p)[/tex]
If [tex]\Delta<0[/tex] there is no real solution, no intersection point.
If [tex]\Delta=0[/tex] there is one intersection point.
If [tex]\Delta>0[/tex] there are two real solutions, so two intersection points.
Hope this helps.
3. Find x.
Please help me
Answer:
A. 29.91
Step-by-step explanation:
tan(x) = opposite leg / adjacent leg
tan(41) = 26 / x
0.869... = 26/x
26 / 0.869... = x
x = 29.91...
A toy box in the shape of a rectangular prism has a volume of 6,912 cubic inches. The base area of the toy box is 288 square inches. What is the height of the toy box?
Answer:
h= 24 inches
Step-by-step explanation:
(Volume)= (Base Area) * (Height)
6,912= 288h
h=
how many are 2 raised to 2 ???
Answer:
Step-by-step explanation: 2 raised to 2 or 2^2 is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4
Answer:
Step-by-step explanation: 2 raised to 2 or 2^2
is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4