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
please help me on this question ASAP.
i need it dont by midnight and its 10:40.
Answer:
i) x = 6 and y = 9
ii) x = 10 and y = 5
iii) x = 9 and y = 10
not entirely sure about the last one
Step-by-step explanation:
not sure how to explain but trust
This is my last question someone help and plz make sure it’s right will mark brainiest plz :)
Answer:
fort nite
Step-by-step explanation:
i dont know what brainiest means
For functions f and g defined by f(x) = x² + 7 and g(x) = x - 3, what is the value of f(g(5))?
Please help quick! Find the value of x to the nearest tenth.
Answer: 3.3
Step-by-step explanation: pythagorean theorem.
first we'll do the bottom triangle. a^2 + b^2 = c^2
a=3 and b=4
(3)^2 + (4)^2 = 9 + 16 = 25 which = c^2
to find c from c^2, square root the c^2 value. in this case it's 25. the square root of 25 is 5.
5 is now the base of the rectangle
now we can do pythagorean theorem again. except we'll switch it so it's c^2 - b^2 =a^2
c=6 and b=5
(6)^2 - (5)^2 = 36 - 25 = 11 = a^2
to find a we'll square root 11 which is just [tex]\sqrt{11[/tex]. approx. 3.3 to the nearest tenth.
We can use the Pythagorean theorem to solve for x.
But first, we have to find the value of 'a' (as I labelled in the diagram below). We could actually do all this in one step if we set it up correctly.
so x = √(6² - a²)
& a² = 3² + 4²
⇒ x = √[6² - (3² + 4²)]
x = √(11) or ≈ 3.3167
What is the product?
(y3+3y+7) x (8y2+y+1)
Answer:
I believe that this is what you mean. (y^3+3y+7)*(8y^2+y+1)
Step-by-step explanation:
So your answer would be: 8y^5+y^4+25y^3+59y^2+10y+7
Have a nice day!
I really hope this helps!
What is 329*56 divided by 21
Answer:
The answer is 877.333333333
Answer:
877.333333333
Step-by-step explanation:
329*56 divided by 21 = 877.333333333
If Michael made 12 shots out of 18 what is the percentage of shots made by him?
Answer:
At least 66%
Step-by-step explanation:
65% of 18 is 11.7
67% of 18 is 12.06
Therefore, at least 66% of the shots where made by Michael.
Step-by-step explanation:
100% = 18
x% = 12
x% = 100% / 100 × x
so,
18/100 × x = 12
18x = 1200
x = 1200/18 = 200/3 ≈ 66.66666...
so, he made about 67% of the shots.
i need help cause i dont know this i was out of school that day
Answer:
0.315
Step-by-step explanation:
act like the fraction is a division problem divide 6 by 19.
this decimal is a repeating decimal so it will never end rounded to the thousandth place it is 0.315
Three less than 4 times a number is equal to 12 more than seven times the number. What is the number?
Answer:
-5
Step-by-step explanation:
4x-3 = 7x+12
Subtract 12 from each side4x-15 = 7x
Subtract 4x from each side-15 = 3x
Divide each side by 3-5 = x
Rewrite using symmetric propertyx = -5Point H, with coordinates (-2,6), is part of a
figure that is transformed by dilation with a
scale factor 2. What are the coordinates of H'
after the dilation?
Step-by-step explanation:
your teacher forgot to mention if the dilation is based on the origin (0, 0).
I assume this is what was meant, but it has to be explicitly specified to be sure.
but if things are as assumed, then the scaling factor is just multiplied into the point coordinates to get the result :
H' = (-2×2, 6×2) = (-4, 12)
round 88.85 to the nearest ten
Answer:
it's 88.9
Step-by-step explanation:
Answer: 88.9
Step-by-step explanation .....
PLEASE HELP ME
The figure below shows two pair of congruent triangles. ΔROB ≅ _____ ΔPTA ΔATP ΔPAT ΔAPT
Please help immediately
Show your work
Answer:
a + 7
Step-by-step explanation:
x^2 + 2x - 8. on [5,a]
(f(a)-f(5))/( a - 5 )
(( a^2 + 2a - 8 ) - 27 ) / a - 5
( a^2 + 2a - 35 ) / a - 5
(a - 5)(a + 7) / a - 5
a + 7
Given the function f(x)=8-3x. Solve f(-2)
A. -14
B. 14
C. -2
D. 2
Answer:
14, which is B.
Step-by-step explanation:
Plug in -2 in your function.
f(-2) = 8-3(-2)
= 8 - (-6)
= 8 + 6 = 14
1) soe soe had 15kg of flour. She used 4/5 of it to make some cookies. How many kilograms of flour had she left?
2) U Kyaw mixed red paint and blue paint in the ratio 5:3 for painting a wall. If he made 24 liters of paint for the painting job, how many litres of blue paint did he use?
Answer:
1) 3 liters left
2) 9 liters of blue paint
Step-by-step explanation:
1) 1/5 * 15 = 3
2) 3 liters of blue paint for each 8 liters.
24/8 * 3 = 9
Fractions and Comparisons
Level : JHS1.
The amount of flour used is :
= 4/5 × 15 kg
= 12 kg
The amount of flour left is :
= 15 kg - 12 kg
= 3 kg
2.
5 : 3 = Red : Blue
The amound of blue paint :
= 3 : (3 + 5) × 24 liters
= 3 : 8 × 24 liters
= 9 liters
So, the litres of blue paint did he use is 9 liters
#LearnWithEXO
Help pls
what is the slope intercept form of (-1,8) and (3,6)
Answer: y = 1/2x+15/2
Step-by-step explanation:
If you need any more help let me know!! I will try to answer every question you post!
How do you get the answer to these two questions? I don’t understand
Answer:
Hey, so it's actually pretty simple I'll try my best to explain it properly!
Step-by-step explanation:
So for the first blue circle the line that goes to the middle that's the radius. And to solve the area you need to know the radius. The formula to solve the area is A = [tex]\pi[/tex] [tex]r^{2}[/tex] so what we would do its 3.14 times 6 times 6 or 3.14 times 36 which would give us the area! Now for circumference, the equation for that is C = 2[tex]\pi r^{2}[/tex] which would look like 2 times 3.14 times 6 times 6 or 2 times 3.14 times 36 and that would give you the circumference.
and y =
4
4
Which is the solution of the equation (4y - 3)2 = 12?
3+2v3
3-23
a. y =
3+2V2
b. y =
and y =
-3-2V2
4
63
-63
y=-
and y =
4
4
3v2
-3/
and y =
4
C.
d. y =
4
4
Answer
10
Step-by-step explanation:
What is the lowest common multiple of 14, 28, and 84?
Explain
help
Answer:
308
Step-by-step explanation:
first you divide all three numbers by the smallest counting number,in this case, it is a '2' . keep on dividing with other numbers until when you reach a point where the remainder is indivisible, that is to say numbers like 7,11,5 etc.
what is the midpoint of (5,-3) and (-1,-7) .
help me , i will give you points
Explain, using complete sentences, the advantages and disadvantages of a deferred payment plan.
Answer:
some advantages is that you can not pay all at once some disadvantage is that you can feel like you can. do that always then you can get late fees that can cost more the the product it self
suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the person is not left-handed. In the sample of 100 people, the function V(p)= 1000 p(1-p) represents the variance of the number of left-handed people in a group of 100.
a) What value of p maximizes the variance?
b) What is the maximum variance?
Answer:
a) 1/2
b) 250
Step-by-step explanation:
The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for [tex]p[/tex] such that [tex]1000p(1-p)[/tex] is maximized. Once we have that [tex]p[/tex], we can easily find the answer to part b.
Finding the value that maximizes [tex]1000p(1-p)[/tex] is the same as finding the value that maximizes [tex]p(1-p)[/tex], just on a smaller scale. So, we really want to maximize [tex]p(1-p)[/tex]. To do this, we will do a trick called completing the square.
[tex]p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4[/tex].
Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of [tex]p[/tex] such that the inner part of the square term is equal to [tex]0[/tex].
[tex]p-1/2=0\\p=1/2[/tex].
So, the answer to part a is [tex]\boxed{1/2}[/tex].
We can then plug [tex]1/2[/tex] into the equation for p to find the answer to part b.
[tex]1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250[/tex].
So, the answer to part b is [tex]\boxed{250}[/tex].
And we're done!
Help! I’ll mark brainly list but please explain!!
Answer:
9.75, 2, and 56.25
Step-by-step explanation:
Since it's 4 movie tickets, 2 popcorns (which are $6.25),
4(9.75) + 2(6.25 -> Popcorn) + 4.75
= 39 + 12.5 + 4.75
= 39 + 17.25
= $56.25
As for the total cost,
4 * 9.75 = 39
2 * 6.25 = 12.5
1 * 4.75 = 4.75
Feel free to mark this as brainliest! :D
please help me on all of them if u can
Answer:
1) x² + x
2) 2x² - x
3) 4x² + 3x
4) 2x² - 3x
5) 4x - 3x²
6) x + x²
Step-by-step explanation:
Due 10/2
for School: Practice & Problem Solving
X 1.9.PS-16
Question Help
5
Challenge Between 9 P.M. and 6:10 A.M., the water level in a swimming pool decreased by in.
24
Assuming that the water level decreased at a constant rate, how much did the water level drop
each hour?
The water level decreased by in. each hour.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Clear All
Check Answer
Answer: The water level drops each hour by 0.1472 inches/hour.
Step-by-step explanation:
We are given that Between 9 AM and 6:10 AM the water level in a swimming pool decreased by 5/12 inches assuming that the water level decreased at a constant rate.
Firstly, we will find the number of hours between 6:10 AM and 9 AM, that is;
Number of hours = From 6:10 AM and 9 AM, there are 2 hours and 50 minutes
So, Number of hours = = 2.833 hours
Also, the water level in a swimming pool decreased by = = 0.417 inches
Now, to find how much did the water level drop each hour, we will divide the amount of water level in a swimming pool decreased by the time interval given, that is;
=
= 0.1472 inches/hour.
This means that the water level drops each hour by 0.1472 inches/hour.
0.1472 as a fraction is 92/625
Which number line represents the solution to the inequality below? *PLEASE ANSWER AND SHOW ALL WORK*
Help me tyyyyyyyyyyyyyyy
Answer:
option number 3
Step-by-step explanation:
Can somebody do this please
Answer:
lines FI and GH
Step-by-step explanation:
both lines are neither parallel nor intersecting and aren't on the same plane
[tex]\bf\red{CD}[/tex]
solve for y
110
75
100
55
Answer:
100
Step-by-step explanation:
because a straight line equals 180 degrees. 25 plus 55 is 80. 180 minus 80 is 100, so the answer is 100 degrees
Simplify 12 square root 1764
Answer:
504
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
The square root of 1764 (or root 1764), is the number which when multipiled by itself give the product as 1764. Therefore the square root of 1764 = √ 1764 = 42.