12. The second of three numbers is one less than the first. The third
number is 5 less than twice the second. If the third number exceeds the
first number by 12, find the three
numbers.
Answer:
The three numbers are 19, 18, and 31.
Step-by-step explanation:
The three numbers are x, y, and z.
y=x-1
z=2y-5
z=x+12
2y-5=x+12
2(x-1)-5=x+12
2x-2-5=x+12
x=19
y=18
z=31
The three numbers are 19, 18 and 31
what is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.
let the three numbers be x, y, and z.
So, according to question
The second of three numbers is one less than the first,
y = x-1
The third number is 5 less than twice the second,
z=2y-5
also, If the third number exceeds the first number by
12z=x+12
Now, equating the equations
2y-5=x+12
2(x-1)-5=x+12
2x-2-5=x+12
x=19
So, y=18 and z=31.
Learn more about algebra here:
https://brainly.com/question/24875240
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The larger of two numbers is fourteen more than twice the smaller number. If the sum of the numbers is 41, find the two numbers. Write your answer as two numbers separated by a comma.
Answer:
x+y=41
x=2y+14
by solving eq
2y+14+y=41
y=27
×=68
Solve for x I need help ASAP!
Let's solve your equation step-by-step.
2x+9=8x+21
Step 1: Subtract 8x from both sides.
2x+9−8x=8x+21−8x
−6x+9=21
Step 2: Subtract 9 from both sides.
−6x+9−9=21−9
−6x=12
Step 3: Divide both sides by -6.
-6x/-6=12/-6
x=-2
Answer:
-2 = x
Step-by-step explanation:
First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.
Hope this helps! Let me know!
it is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be
consumed worldwide in 2015. In 2003, worldwide consumption was 421 quadrillion Btu. What is the
expected rate of change in consumption from 2003 to 2015? (what is rate of change?)
Answer:
the expected rate of change in consumption is 11.83
Step-by-step explanation:
The computation of the expected rate of change in consumption is shown below:
= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)
= (563 - 421) ÷ (2015 - 2003)
= 142 ÷ 12
= 11.83
hence, the expected rate of change in consumption is 11.83
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Marcus said the product of 7/8 × 1 3/4 is 9/4.
How can you tell that his answer is wrong?
Kendall is making greeting cards, which she will sell by the box at an arts fair. She paid $40
for a booth at the fair, and the materials for each box of cards cost $5. She will sell the cards
for $10 per box of cards. At some point, she will sell enough cards so that her sales cover her
expenditures. How many cards will that take?
Answer:
9
Step-by-step explanation:
40 dollars due up front
10 dollars made per sale
5 dollars lost per creation
Realistically speaking she is only making a $5 profit per box she sells;
$5 used up for material cost, $10 made from sales -5+10= 5
To pay the $40 dollar for the booth she would need to make 9 sales with her current profit
40/5 = 9
-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal
Answer:
-2
Step-by-step explanation:
help me please it's due at 2:30
Answer:
i have the same doubt
Step-by-step explanation:
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths
Answer:
Option A
Step-by-step explanation:
The equation of line is
Solution:
Given that line passes through the point (4, –6) and has a slope of Negative three-fourths
Given point is (x, y) = (4, -6)
The equation of line passing through point (x, y) and slope "m" is given as:
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Substitute (x, y) = (4, -6) and in eqn 1
The required equation of line is given as:
Thus the equation of line is found
Answer:
a
Step-by-step explanation:
Which statement explains how to determine if triangle ABC is similar to triangle XYZ?
Answer:
It is the last one
Step-by-step explanation:
There aren't enough angles
If f(x) = 2x – 4 and g(x) = x 2 – 4x, find each value.
Answer:
Step-by-step explanation:
First, solve for each function separately:
F(5)=52+4(5)F(5)=25+20⇒F(5)=45
G(6)=2(6)+2G(6)=12+2⇒G(6)=1
Now, let's add our solutions together:
F(5)+G(6)=45+14=59
Answer:*******************brainliest
Answer:
How is your day going lol
Step-by-step explanation:
was this supposed to be a question lol>
help plz it due today
Answer:
Point A - 1/2 and - 1/4
Point B - 2 1/2 and 1 1/2
Point C 1/4 and 1/2
Step-by-step explanation:
Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?
____ m
Answer:
the circumference of her wheel is 1.81 mLin’s bike travels 100 meters when her wheels rotate 55 times.
here, n = 55 rotation and D = 100 meter.
Diameter is the distance bike travel
n is the number of times rotation
C is the circumference of the wheel
2n – 32 = 10(n - 8) what is the answer
Answer:
n = 6
Step-by-step explanation:
2n - 32 = 10n - 80
2n - 10n = -80 + 32
-8n = -48
-48/-8 = 6
There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer
Answer:
Nate's MP3 has 20 hours of memory.
Step-by-step explanation:
1. multiply 9.4 times 100
2. divide that by 47
3. you get your answer of 20 hours
-6t-7=17 what does t equal
Answer:
t=-4
Step-by-step explanation:
I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4
[tex]4x + 5y = 19 \\ x + 5y = 13[/tex]
I need some help putting it in ordered pair
1. Order the set of integers {-3, 0, -6,4} from greatest to least.
Answer:
Greatest 4 > 0 > -3 > -6 Least
General Formulas and Concepts:
Number lineStep-by-step explanation:
Negative numbers are always going to be the smallest while positive numbers will be the greatest
Answer:
4,0,-3,-6
Step-by-step explanation:
integer means a number which is not a fraction. So 4 is the greatest ,because it is positive.Then 0.Then -3 then -6 'cause there negative.
Brainliest 5 stars Thanks! (running out of time and points sorry)
What is this expression in simplified form? √32 x √24
A. 16√3
B. 64√12
C. √768
D. 32√3
Answer:
16 sqrt(3) x -> A. 16√3
Step-by-step explanation:
Simplify the following:
sqrt(32) sqrt(24) x
Hint: | Simplify radicals.
sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):
2^2 sqrt(2) sqrt(24) x
Hint: | Evaluate 2^2.
2^2 = 4:
4 sqrt(2) sqrt(24) x
Hint: | Simplify radicals.
sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):
4 sqrt(2)×2 sqrt(2) sqrt(3) x
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).
sqrt(2) sqrt(3) = sqrt(2×3):
4 sqrt(2)×2 sqrt(2×3) x
Hint: | Multiply 2 and 3 together.
2×3 = 6:
4 sqrt(2)×2 sqrt(6) x
Hint: | Multiply 4 and 2 together.
4×2 = 8:
8 sqrt(2) sqrt(6) x
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).
sqrt(2) sqrt(6) = sqrt(2×6):
8 sqrt(2×6) x
Hint: | Multiply 2 and 6 together.
2×6 = 12:
8 sqrt(12) x
Hint: | Simplify radicals.
sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):
8×2 sqrt(3) x
Hint: | Multiply 8 and 2 together.
8×2 = 16:
Answer: 16 sqrt(3) x
Answer:
16√3
Step-by-step explanation:
I got it on test
Can somebody please help me
Answer:
26/24
Step-by-step explanation:
you multiply 1 by 8 and 6 by three as well as 3 by 8 and 8 by three to get 8/24 and 18/24 . now that you have a common denominator, you can add the two together to get 26/24
Find the slope of the line through
3) (-1, 17). (6, 12)
Will mark brainliest!plz help
EXTRA POINTS!
Answer both questions...
Scientists discovered the ozone layer was depleting at a rapid rate. At the beginning of the study the ozone layer was 3 millimeters thick. Throughout the study it depleted at a rate of 0.04 Millimeters per week.
Which function can be used to find the thickness of the ozone layer in meteres x days sconce the study ?
A) T(x)=-0.04(x+3)
B) T(x)=0.04(x+3)
C) T(x)=0.04x+3
D) T(x)=-0.04x+3
Answer:
1. D
2. D
Step-by-step explanation:
Answer:
i thinks it's D im not so sure but i think it's D
Is there a proportional relationship between x and y? Explain.
х
8
10
12
14
у
5
7
9
11
A.
No, all ratios
are not equivalent.
B. Yes, each x value and y value increases by 2.
C. Yes; the difference between each x value and y value is 3.
D.
No, all ratios
are greater than 1.
Answer:
B. Yes, each x value and y value increases by 2.
Which expression is a difference of cubes?
Answer:
[tex](x-y)(x^2+xy++y^2)[/tex]
Step-by-step explanation:
[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]
Answer:
It would be D
Step-by-step explanation:
Got it right on Edge 2021
PLEASE QUICK:
Is the relation a function?
{(1, 3) (5,-2) (6, 0) (-4, 7) (1,9)]
No
Yes
Answer:
no
Step-by-step explanation:
there are 2 1's in that function
Okay yes I know it's messy it was a long stressful day lol so just check the last two, are they written right? are they even right? Thanks so much love you guys!!!!!!
Answer:
Yes
Step-by-step explanation:
Yes it is
No 1 is correct
No 2 is correct
No 3 is correct
No 4 is correct
and what i mean by correct is you answered it correct
I hope this helps you :)
Answer:
yes
Step-by-step explanation:
yes it is
it is all correct
HELP!!!
write the linear equation of the given table
Answer: y = 1.5x + 3
Step-by-step explanation:
As part of a survey, 300 girls were asked to name their favorite sport. Theresults showed that 12 of the girls named bowling as their favorite sport. Whatpercentage of the girls in the survey named bowling as their favorite sport?
Answer:
4%
Step-by-step explanation:
12/300
hope this helps