The scenario represented by the linear function y = x + 2 is given by:
Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The y-intercept is of 2, as when x = 0, y = 2.The slope is of 1, as when x changes by 2, y also changes by 2, hence m = 2/2 = 1.Thus the function is given by:
y = x + 2.
Which means that the initial amount is of $2, and increases by $1 for each unit of time, hence the correct option is:
Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Answer:
b
Step-by-step explanation:
The surface area of Earth is approximately 5.1 x 108 km2. The surface area of Jupiter is approximately 6.2 x 1010 km2. Approximately
how many times larger is Jupiter's surface area than Earth's surface area?
A 8
B 12
C 80
D 120
Answer:
The correct answer is: Option D: 120
Step-by-step explanation:
Given that
[tex]S_E = 5.1*10^8\ km^2\\S_J = 6.2*10^{10}\ km^2[/tex]
In order to find how much larger is the area of Jupiter we will divide the surface area of Jupiter by the Surface area of Earth. First of all we will have to equate the exponents of 10 so that the cutting can be done
Now,
[tex]= \frac{S_J}{S_E}\\= \frac{6.2*10^{10}}{5.1*10^8}[/tex]
10^10 can be written as: 10^8*10^2
[tex]=\frac{6.2*10^2*10^8}{5.1*10^8}\\= \frac{6.2*100}{5.1}\\=\frac{620}{5.1}\\=121.5686[/tex]
Closest to 121 is 120.
Approximately Jupiter's surface area is 120 times larger then Earth's surface area.
Hence,
The correct answer is: Option D: 120
Tony has x quarters. Jane has three more quarters than Tony. Rob has twice as many quarters as Jane. Together, Rob and Jane have $4.50 in quarters. Complete each statement. (A) The expression x + 3 represents the number of quarters Jane has. (B) The expression x – 3 represents the number of quarters Rob has. (C) Tony has quarters.
Answer:
x = 3 quarters
Step-by-step explanation:
Tony = x quarters
Jane = (x + 3) quarters
Rob = 2(x + 3) quarters
Rob and Jane have $4.50 in quarters.
$1 = 4 quarters.
$4.50 = ( 4 × 4.5 ) quarters
= 18 quarters.
(x + 3) + 2(x + 3) = 18
x + 3 + 2x + 6 = 18
3x + 9 = 18
3x = 18 - 9
3x = 9
x = 9/3
x = 3
(A) The expression x + 3 represents the number of quarters Jane has. YES
x + 3
= 3 + 3
= 6 quarters
(B) The expression x – 3 represents the number of quarters Rob has.
NO
(C) Tony has quarters.
Tony = x quarters
= 3 quarters
Rob = 2(x + 3) quarters
= 2(3 + 3) quarters
= 2(6) quarters
= 12 quarters
Answer:
(A) The expression x + 3 represents the number of quarters Jane has.
B) The expression 2(x+3) represents the number of quarters Rob has.
(C) Tony has 3 quarters.
Step-by-step explanation:
A_____number can be written as a ratio of two integers in the form A/B with B ≠ 0.
large
rational
common
irrational
Suppose y varies directly with x and y = 72 when x = 6. What direct variation equation relates x and y? What is the value of y when x = 10?
I know that it is 12x but for some reason there is no result in the answer choices.
The theater sells two types of tickets: adult tickets for $14 and child tickets for $6.
Last night, the theater sold a total of 438 tickets for a total of $5012. How many adult tickets did the theater sell last night?
Answer:
Number of adult tickets = 298
Number of child tickets = 140
Step-by-step explanation:
Number of adult tickets = a
Number of child tickets = c
a + c = 438 -------------------(I)
14a + 6c = 5012 ----------------(II)
Multiply equation (I) by (-6) and then add, so c will be eliminated.
(I) * (-6) -6a - 6c = -2628
(II) 14a + 6c = 5012 {Add}
8a = 2384
a = 2384/8
a = 298
Plugin a = 298 in equation (I)
298 + c = 438
c = 438 - 298
c = 140
A package of 8 pens costs $1.09. Milo's work to find the unit price of the pack is shown below. StartFraction 8 pens Over 1 dollar and 9 cents EndFraction = StartFraction question mark Over 1 dollar EndFraction. Question mark = StartFraction 8 Over 1 dollar and 9 cents EndFraction. Question mark = 7 dollars and 34 cents.
Question:
A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.
8p/$1.09 =
8÷$1.09 =
$7.34
Where did Milo make his first error?
Answer:
He wrote the unit rate incorrectly.
Step-by-step explanation:
Given
[tex]Pens = 8[/tex]
[tex]Cost = \$1.09[/tex]
Required
Determine Milo's error
First, we need to solve for the unit price; then compare our results with Milo's
[tex]Unit\ Price = \frac{Cost}{Pens}[/tex]
[tex]Unit\ Price = \frac{\$1.09}{8}[/tex]
[tex]Unit\ Price = \$0.13625[/tex]
Comparing the calculation with Milo's:
We can see that he made wrong calculations i.e. in other words, he solved the required incorrectly
у= 5х – 3
3х – у = -1
Whats the value of y?
Answer:
(2,7) x=2 y=7
Step-by-step explanation:
Describe the location where all 3 inequalities may be satisfied on the following slide.
there is no pics
Answer:
the big moon is a good place to set your location
Answer:
Hey im sorry but we can help you because the question doesnt make sense without picture
Step-by-step explanation:
|) Mei Li is going orange
picking. She is choosing
between two orange
orchards. The cost of a
basket of oranges at each
orchard is shown.
Which orchard should Mei
Li choose? Explain.
Answer:
Annie's Orange Grove
Step-by-step explanation:
* you need to find out how much each pound of oranges cost at both orchards.
* to do so you take the total amount of money and divide it by the number of pounds you get.
1) 7.25 ÷ 20 = .36
2) 5 ÷12 = .4
* as you can see .36 is less than .4 and therefore is the better deal.
If g(x) = 4x-7 then g(1) = ?
Answer:
g(1) = -3
Step-by-step explanation:
g(x) = 4x-7
Let x=1
g(1) = 4*1 -7
= 4 -7
= -3
Answer:
-3
Step-by-step explanation:
waht is 8/5 times 7/4 pleeaaaaseeee help LAST QUESTION PLZ
Answer:
below
Step-by-step explanation:
improper fraction: 14/5
as a decimal: 2.8
proper fraction: 2 4/5
In 3 hours Jon can walk 5 miles. At this
same rate, how long can he walk in 5
hours?
Answer:
8.3 miles
Step-by-step explanation:
In 3 hrs he can walk=5 miles
In an hour he can walk=5/3miles
=1.66 miles
In 5 hours he can walk=1.66*5miles
=8.3 miles
Hope this helps
Can whoever answers this give a full explanation of what numbers i'm supposed to put (screenshot is there)
Long division is easier than you think. Here's how to solve this problem:
1. See how many times 36 can go into 66.
Multiply until you reach a number that is closest (or exact) to 66.
36 x 1 = 36; 36 x 2 = 72.
72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).
2. Subtract.
Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.
66 - 36 = 30.
3. See how many times 36 can go into 30.
Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.
4. See how many times 36 can go into 303.
I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.
We put "8" on the shelf, next to "1".
5. Subtract.
Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.
Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.
Your answer is:
36 R 15
The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.
I hope this helped!
At the beginning of the month, Arnold’s bank account balance was $217.25. During the month he made deposits of $49.58 and $105.75 and a withdrawal of $25.45. What was Arnold’s bank balance at the end of the month?
Answer:
He has $347.13
Step-by-step explanation:
217.25+49.58+105.75-25.45=347.13
describe julius caesar as a child
Answer:
You dare challenge me...
Step-by-step explanation:
Gaius Julius Caesar was a Roman general and statesman who played a critical role in the events that led to the demise of the Roman Republic and the rise of the Roman Empire. In 60 BC, Caesar, Crassus and Pompey formed the First Triumvirate, a political alliance that dominated Roman politics for several years.
can you please help
Answer:
f = -0.032
Step-by-step explanation:
I looked it up
Answer:
-0.032
Step-by-step explanation:
f/-3.2=0.01
f=-3.2×0.01 (cross multiplication)
f=-3.2×1/100
f=-0.032
Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent. $ Part B After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
a: 27.324 (rounded to the nearest cent is $27.32)
b: 18.0088% (rounded to the nearest percent is 18.01% or 18%)
6 ) y = -x + 4
slope =
y-intercept =
What it is the answers to the question above
Write and solve a proportion to answer the question.
34 is 60% of what number?
Answer: 20 2/5
Step-by-step explanation: 60/100=x/34
100x/100=2040/100
x=102/5=20 2/5
hello, how to do 15(d)? :)
Answer:
Q15.d) 11.8L
Step-by-step explanation:
Please see the attached pictures for the full solution. (Picture 1 &2)
I have also attached the workings for part a-c from pictures 3 and onwards.
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns estimate?
Answer:
12%
Step-by-step explanation:
So 5.5 to 5.62 is .12
Then calculate the difference of 5.5 *.12=0.66
Then do “0.66 is what percent of 5.5?”
The answer is 12%
Thank you for reading, and mark this brainliest
Show work too I’ll mark you brainlist hurry lol
Answer:
1
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
[tex]e(x)=\frac{1}{5}x\\\\e(5)= \frac{1}{5}*5\\\\\boxed{e(5)=1}[/tex]
Hope this helps.
What is the domain of a cube root function?
A. all integers
B. all positive numbers
C. all real numbers
D. all negative numbers
Answer:
C. All real numbers
Step-by-step explanation:
1 3 movie tickets cost $36. At this rate, what is the cost per ticket?
Answer:
$12 per ticket
Step-by-step explanation:
if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost
36/13= $12
4x^2 + 12xy + 9y^2
Can someone answer this and show the work?
ANSWER:
=(2x+3y)^2
WORKINGS:
4x^2+12xy+9y^2
2 =(2x)^2
2 +2(2x)(3y)+(3y)^2
2 =(2x+3y)^2
The four members of the "Fantastic Four" made 40 cookies each for the bake sale. They know that 35% of their cookies are chocolate chip.
How many chocolate chip cookies were made?
Answer:
56 Chocolate Chip cookies
Step-by-step explanation:
To find the answer first add up all of the cookies, in this case, 40+40+40+40 witch equals 160. then find 35% of that. This can be done by dividing 160 by 100 to get 1% then multiplying that by 35 to get 35% witch is 56. Therefore you have 56 Chocolate Chip cookies.
Thomas is purchasing notebooks for
school. He has $25 to spend and each
notebook costs $4.15. How many
notebooks can he buy if he must first
buy a calculator for $8.64?
Answer:
4
Step-by-step explanation:
Keith made $65 for 5 hours of work. At the rate, how much would he make for 18 hours of work?
Answer:
234
Step-by-step explanation:
65 x
--- = ---
5 18
Find X in the problem below
X=In
Answer:
50
Step-by-step explanation:
Let's drag the x line to the other side with the 14 and 48.
Then we do the Pythagorean theorem like 14^2 + 48^2 = x^2.
So then we get that x^2 is 2500
then we clearly know the square root of 2500 is 50
So 50 is our answer.
Answer:
x = 50in.
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]14^{2}[/tex] + [tex]48^{2}[/tex] = 2500
[tex]\sqrt{2500}[/tex] = 50
PLEASE HELP
Write the equation of the line that is parallel to
y = 3x - 4
and that has a y intercept or 5.
WILL MAKE U BRAINLIEST
Answer: m
=
3
Step-by-step explanation: