From the information in the word problem we are able to set up the following inequality:
3y + 2 - y = 12 | where x is the larger number of two numbers in a set (x, y)
We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.
We also know that x - y = 12.
So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:
3y + 2 - y = 12
Now, we solve the inequality
3y + 2 - y = 12
-> subtract 2 from both sides :: 3y - y = 10
-> subtract y from 3y :: 2y = 10
-> divide both sides by 2 :: y = 5
So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:
x - y = 12
-> substitute y for 5 :: x - 5 = 12
-> add 5 to both sides :: x = 17
OR
3y + 2 = x
-> substitute y with 5 :: 3(5) + 2 = x
-> multiply 3, 5 :: 15 + 2 = x
-> add 15, 2 :: 17 = x
So there you have it:
x = 17 , y = 5
You can go back and use these values to check your answer and make sure they work with the word problem.
Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.
(just another form of the equation)
brainliest will be appreciated as well
-3x + 5 ¾ + 12x - 2.25
if you answer this it is worth 100 points
Answer: 9 x + 7 /2
Step-by-step explanation:
Answer:
8 + 9x
Step-by-step explanation:
This is an algebraic expression. Our job here is to simplify it by combining like terms: combine the x terms and then combine the constants:
-3x + 5 ¾ + 12x - 2.25, after combining the x terms, is
5 ¾ + 9x - 2.25
Next, combine the constants. It's easier to convert -2.25 to -2 1/4 and then
add this 2 1/4 to 5 3/4:
8 + 9x
Help
Write an equation in slope-intercept form of the line that passes through the given points.
Answer:
y = 1/2x+1
Step-by-step explanation:
Slope = Δy/Δx
The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.
Slope-intercept form: y=mx+b
We take point (0,1) and input into this equation.
1= 1/2×0 +b
1 = b
HELP ASAP
Factor n²+9n+20
Can someone please correct me please I beg you
Answer:
D
Step-by-step explanation:
The area of a circle can be find with this formula:
radius^2 π
in this case we have the diameter, so we have to divide it by two
radius = 16 : 2 = 8 ft
area = 8^2 π
Please help, if do, thank you luvs<33
have a good day
Use the distributive property to simplify each expression.
(-5d + 1) (-2)
Answer: 10d-2
Step-by-step explanation:
Answer:
10d - 2
Step-by-step explanation:
Multiply each term inside parentheses by -2, separately:
10d - 2 (answer)
6. Find JL.
3r + 4
JL=
5.x - 16
Answer:
Step-by-step explanation:
3x+4 = 5x-16
-2x+20 = 0
-2x = -20
x = 10
3*10+4 = 5*10-10 = 34
34*2 = 68
JL = 68
The area of a triangle is 3232. Two of the side lengths are 74 and 94 and the included angle is acute. Find the measure of the included angle, to the nearest tenth of a degree.
If im not wrong it would be 12 degrees
FREE PTS! What is something that annoys you? (pet peeves)
Answer:
people not rinsing out they dirty dishes
Step-by-step explanation:
Answer:
When people like pick me girls are like, oh my gosh im so ugly I wish I was pretty. To get everyone's validiation or to be cute its annoying.
Anyways have a great day :)
Help me with #9 please!!
Answer:
Im pretty sure the answer would be 360 dec. or 64in. sry if im wrong and plz tell me if im wrong ill fix it
CAN U HELP ME WITH MY ANSWER I POSTED YESTERDAY
Step-by-step explanation:
Willy's Candy store and Bill's Candy store attended same number of customers in an hour.
Willy's Candy store can attend 3 customers at once where as Bill's Candy store can attend 5 customers at once. So, what is the minimum number of customers attended by each store in an hour?
Answer:
15 customers attended by each store
a board game cost d dollars. the sales tax rate is 8%. what two expressions can be used to calculate the total cost for the game, including tax?
Answer:
The equation for the amount of tax (8%) T on an item that costs P dollars is:
T=0.08P
Step-by-step explanation:
Plz I need this super fast it is due in 30 min! Plz help
Answer:
4ft 1
Step-by-step explanation:
Answer:
50 inches=4.1 inches
so answer is option B
plz need help now plz 11 points
Answer:
137 square feet
Step-by-step explanation:
To find the area of this figure, you will need to combine the area of the triangle and the rectangle. The area formula of a triangle is A = 1/2lw (l = length, w = width). You just find the area the same way you would the rectangle and the divide it by 2. 6 times 3 is 18, and 18 divided by 2 is 9. The area of the triangle is 9 square feet. To find the area of the rectangle, multiply the length and the width (16 and 8). The product is 128. 128 + 9 = 137.
Which of the following is closest to the circumference, in inches, of a circle that has a diameter of 12 inches?
Answer:
37.68 inches
Step-by-step explanation:
The formula for the circumference of a circle is 2πr.
The radius is 6, and 6⋅2 = 12 (diameter).
3.14 = pi.
12 ⋅ 3.14 = 37.68
Whichever answer is closest to 37.68 is your answer!
Help me, please. Don't just claim my points, it's irritating
Answer:
8.239x10^-5
so the answer is A
Step-by-step explanation:
trust me
ps. use photomath on phone
Write both number with the same power of 10, factor out that power of 10 (since it's common to both terms), then simplify to standard scientific notation (that is, a.bcd... × 10⁻ⁿ):
(8.28 × 10⁻⁵) - (4.1 × 10⁻⁷) = (828 × 10⁻⁷) - (4.1 × 10⁻⁷)
… = (828 - 4.1) × 10⁻⁷
… = 823.9 × 10⁻⁷
… = 8.239 × 10⁻⁵
PLEASE!!!
A gym offers two different membership options. In the first option, new members pay a one-time fee of $50 and a monthly fee of $30. In the second option, members pay a one-time fee of $100 and a monthly fee of $20.
Suppose c is the total membership cost for m months. The two equations that model the two membership options are c = 30m + 50 and c = 20m + 100.
Part A
1. To find out when the cost will be equal, you will need to solve for m using substitution. Substitute the expression for the cost from the first equation into the cost, c, in the second equation.
2. Solve the equation in number 1 for m
3. Would you get the same solution if you substituted the expression for cost in the second option for c in the first equation? Why?
9514 1404 393
Answer:
30m +50 = 20m +100m = 5yes. symmetric property of equality.Step-by-step explanation:
1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...
c = 20m +100
gives you ...
30m +50 = 20m +100
__
2. Adding -50-20m to both sides gives ...
10m = 50
m = 5 . . . . . . . divide by 10
__
3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...
c = 30m +50
to get ...
20m +100 = 30m +50
This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).
You get the same solution.
In Phoenix, Arizona, the average temperature is 85 degrees Fahrenheit or higher during 25% of the year. During about how many weeks of the year is the average temperature below 85 degrees Fahrenheit?
Answer: 39 weeks
Step-by-step explanation:
Given
The average temperature is [tex]85^{\circ}F[/tex] or higher
A year has 52 weeks
It is given 25% of the time-temperature is above [tex]85^{\circ}F[/tex]
So, in the remaining 75% of the weeks, the average temperature is less than [tex]85^{\circ}F[/tex]
No of weeks can be determined by
[tex]\Rightarrow 75\%\ \text{of}\ 52\\\\\Rightarrow \dfrac{75}{100}\times 52=39\ \text{weeks}[/tex]
What is 73/48 simplified
Answer:
The Decimal form is: 1.52083 (and the 3 keeps going and going)
Is mixed number it is: 1 25/48.
What is 1/2b x 6/10 ?
Answer:
the answer to this question is 2.4b
pleaseee help
The answer choices for number 2 is and the answer choices for number 1 is in the photo
1. Has no relation
2. Is the vertical angle to the corresponding angle
3. Is the corresponding angle
4. Is an alternate exterior angle
The length of one edge of a cube is 7 units. What is the volume of this cube in cubic units? HELPPPPPP JUSTIFY THE ANSWER PLEASEEE
Answer:
Step-by-step explanation:
A cube has an edge length of 5 inches
When I know the side length of a cube, I can find its surface area and express it using appropriate units.
I can write and explain the formula for the surface area of a cube.
The volume of a cube with edge length [tex]S^{}[/tex] is .[tex]S^{3}[/tex]
A cube has 6 faces and they are all identical squares. The surface area of a cube with edge length [tex]S^{}[/tex] is. 6 DIVIDE [tex]S^{2}[/tex]
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=70°, and EF = 4.4 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
FD= 1.6 ftStep-by-step explanation:
Seems like an easy trig question so let's get to it.
1) Draw the right triangle to make it easier to solve (right triangle because we have a 90 degree angle)
2) Find the last angle measure by adding 90+70= 160 and 180-160= 20 so the last angle measure is 20.
3) Use trig function, tan20= x/4.4 to find the answer of x (FD) to be 1.6. Therefore, the FD value will be 1.6 ft.
what is the area of a circle with a diameter of 18.2 cm?
use 3.14 for TT and round your final answer to the nearest hundredth.
the area is ___ square cm.
Answer:
260.0234 cm
Step-by-step explanation:
The formula for area of a circle is π r².
Since the radius is half of the diameter, we must divide the diameter by 2.
18.2/2 = 9.1
Next, we must multiply 9.1 x 9.1.
This gives us 82.81
Now we must multiply 82.81 by pi (3.14).
82.81 x 3.14 = 260.0234
Therefore, the area of the circle is 260.0234.
PLEASE HELP!!!!!!!!!!! I NEED THIS RN!!!!! NO LINKS, JUST THE ANSWER!!!!!!!
THIS IS NOT MULTIPLE CHOICE!!!!!!
B. Find another city whose population starts larger than the city in part (a), but
that during this same time experienced population decline. Determine its
population for January 1st of the same year you picked for part (a). Write an
exponential function to represent the city’s population, y, based on the
number of years that pass, x after a period of population decline. Describe
the variables and numbers that you used in your equation.
-
c. Explain the similarities and differences between your equations in (a) and (b).
d. During what year will the population of city (a) first exceed that of city (b)?
Show all of your work and explain your steps.
e. During what year will the population of city (a) be at least twice the size of
the population of city (b)? Show all of your work and explain your steps.
Answer:
Step-by-step explanation:
We need the actual base question put that in the comments or edit the question
g(1) = 4
g(n) = g(n-1).(-3)
g(3)=
g(1) = 4
g(n) = g(n-1).(-3)
g(3)= 2g(2) = 24 = 16
What are the zeros of f(x) = x(x - 9)?
A. X= 0 and x= -9
B. x = 9 only
C. x = 0 only
D. x= 0 and x = 9
Neeed help ASAP!!!
Answer:
D
Step-by-step explanation:
f(x) =x(x-9)
X(x-9)=0
X2-9x=0
X2-9x+0=0
(X2-9X)
x(x-9)=0
X-9=0
X=9
X+0=0
X=0
Can someone help with question B please it's urgent
Answer:
| B | = - 9
Step-by-step explanation:
The determinant of a 2 by 2 matrix B = [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex] is
| B | = ad - bc
Then for
B = [tex]\left[\begin{array}{ccc}0&1\\9&8\\\end{array}\right][/tex]
| B | = (0 × 8 ) - (1 × 9 ) = 0 - 9 = - 9
jhvjkelhndbkjehlhdbhlfoei;hljkdv joer
Answer:
2.5
Step-by-step explanation:
‼️Someone help please..
Find the missing term in each sequence
Answer:-170
Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.