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
Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below.
Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance.
Natasha uses the $25 off the repair cost coupon first. She then uses the 20% off the repair cost coupon on the remaining balance.
Who paid the least amount of money for the iPhone repair?
Answer:
natasha paid the least amount
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation.
Using this equation, find out the time at which the rocket will reach its
max, to the nearest 100th of a second.
y = 16x^2+ 238x + 81
Answer: 7.44
Step-by-step explanation: DeltaMath
What is the value of X? ______ degrees.
Answer:
48 degrees
Step-by-step explanation:
180-85-47=x
x=48
which expression is equivalent to
-2(x+4) -(3x+8)?
A) 5x+16
B) 5x-16
C) -5x+16
D) -5x-16
Answer:
D
Step-by-step explanation:
-2x - 8 - 3x - 8
= - 5x - 16
Michael owns a small business selling clothing. He knows that in the last week 39 customers paid cash, 30 customers used a debit card, and 2 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
0.03
Step-by-step explanation:
!
pls help with this its for math pls help
Answer:
first option
Step-by-step explanation:
divide each side by 'wh' to get:
l = V/wh
At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?
445 . Answer:
Step-by-step explanation:
i need help with trigonometric pleasee
Answer:
Step-by-step explanation:
Cos(61) = 0.4848
This is more or less the value of cos(60) which is 1/2
You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.
Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.
Tan (18) = 0.3249 Try tan(18) = 0.3
What is the angle of rotation counterclockwise about the spinner’s center that maps label h to label A? 252° 324° 144° 216°
Answer:
its 324
Step-by-step explanation:
The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?
Answer:
$89.90
Step-by-step explanation:
38% corresponds to the decimal fraction 0.38.
The amount of the discount is 0.38($145), or $55.10. Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.
A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62: $89.90.
I NEED HELP!!!
Find the area of this figure
Answer:
265 yd squared
Step-by-step explanation:
We can solve this problem by taking the little triangle on the left side and moving it to the right to get a rectangle, and from there we can find the area like its a rectangle
21.2*12.5=265
PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!
Answer:
area = 24 cm²
Step-by-step explanation:
area = 1/2 x 6 x 8 = 24 cm²
Katherine's paycheck was $436.14. She put 1/3 of her paycheck into a savings acount and used 1/2 for what was left to pay for her new phone,
How much money does she have remaining from her paycheck?
Answer:
$145.38
Step-by-step explanation:
436.14-(1/3)(436.14)-(1/2)(436.14) = 145.38
The amount of money that Katherine left after considering all fractions will be $145.38.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The denominator of a fraction is the numerical value that comes before the brings together various.
It represents the number of pieces removed from the whole.
As per the given,
Initial amount = $436.14
1/3 of it is = (1/3)436.14 = $145.38
Since, she saved into a saving account so she left with,
$436.14 - $145.38 = $290.76
Now,1/2 of it will be,
(1/2)290.76 = $145.38.
Hence "The amount of money that Katherine left after considering all fractions will be $145.38".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
I need help on this, please help
Answer:i tihnk football is .45 and tennis is .18?
Step-by-step explanation:
i dont know if this is right but im pretty sure it is
HELPP ME PLSSSSSSS I NEED IT NOW PLSSS. How could you calculate the x-coordinate of the midpoint of a horizontal
segment with endpoints at (0,0) and (20,0)?
Answer:
The correct answer is B: Count by hand and D: Divide 20 by 2
Step-by-step explanation:
I just got it correct.
Write the equation of the line that passes through the points (9, -8) and (-7,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y=-0.6875x -1.8125
y= -11/16x -29/16
Step-by-step explanation:
6 Which is NOT a function?
A y – x = 6
B y = 2x
C x = -2
D y + x = 12
Answer:
C) x = -2
Step-by-step explanation:
x = -2 is a vertical line with intersects the x-axis at -2; vertical lines are not functions
The company charges $45 a day for the car
as well as charging a one-time $25 fee for
the car’s navigation system (GPS). Write an
equation for the cost in dollars, C, as a
function of the number of days, d, the car
was rented.
Answer:
I personally find it easier to put my equation in words before actually writing the equation, so for this particular situation, the equation would sound like this :
→ The cost (C) is equal to 45$ a day (d) plus 25$!
Now that your equation is put into words, all that you have to do is write down the equation without the words :
→ C = (45d) + 25
If you want to make sure that your equation is correct, you can try it out, say for instance you want to rent a car for a week, so for a total of 7 days, and you want to see how much it would cost :
d = 7 (in this particular situation)
C = (45 × 7) +25
↓
C = 315 + 25
↓
C = 340
→ So it would cost 340$ to rent a car for a week!
credit goes to naomi479xx for solving this answer.
12 donuts cost $6.96. What is the unit rate for one donut?
Answer:
6.96/12
= 0.58
Step-by-step explanation:
each donut costs $0.58. you can check the work by plugging 12 in for x. (0.58x)
i hope this helps :)
16 cars are parked if 1/4 of them are blue how many cars are blue
Answer: 4
Step-by-step explanation:
Answer:4
Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16
2xyz - 3xy2z - 5x3z
help me please
Answer:
2xyz - 3x[tex]y^{2}[/tex]z-5[tex]x^{3}[/tex]z
Step-by-step explanation:
Simplify 5c(2/5d-4)-3(c+2)+d(c+5)
Hey there!
-3(c+2)+d(c+5)
All you have to do is DISTRIBUTE
-3(c) + (-3)(2) + d(c) + d(5)
-3c - 6 + cd + 5d
SOLVE ABOVE and you have your ANSWER
Answer: cd - 3c + 5d - 6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please help, need help asap!
How many minutes are there in 12.5 hours?
Answer:
750 minutes
Step-by-step explanation:
Answer:
750 minutes would be your answer
Step-by-step explanation:
-8^2+18/ 3=
Evaluate the expression.
I need help with this question
Answer:
2n=12
Step-by-step explanation:
The next step would be to subtract four from each side getting 2n=12 or B
I need help ASAP!!
The height of a right pyramid with a square base is 4 feet. The length of a side of the
base of the pyramid is 6 feet. What is the slant height, s, of the pyramid?
Answer:
i think its 6
Step-by-step explanation:
i dont know for sure
y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?
Answer:
1/2
Step-by-step explanation:
y = mx + b is slope intercept form.
b = y intercept. where the line first passes through on the y axis
that number is 3.
y = mx + 3.
to find M (slope) you have to do RISE / RUN.
Run is going left or right from a point
Rise is going up or down from a point.
To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.
From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.
So, the slope is 1/2.
George's scale drawing of a rectangular volleyball court is 6 inches long
by 3 inches wide. What is the
actual area if the scale is 1 inch = 8 meters?
Also I need part b on this one
Answer:
there is nothing here but thanks for the points
Step-by-step explanation:
Have a great rest of your day/night!