Answers
Answer:
x = 12
Step-by-step explanation:
We know that the integers are consecutive. This means that they can be written as:
x, x + 1, and x+2.
First Integer: x
Second Integer: x + 1
Third Integer: x + 2
It is also given that the sum of the first integer and twice the second is 80 minus three times the third.
Write as an equation:
First Integer + 2(Second Integer) = 80 - 3(Third Integer)
Substitute:
x + 2(x+1) = 80 - 3(x+2)
Multiply:
x + 2x + 2 = 80 - 3x - 6
Simplify:
3x + 2 = 74 - 3x
Add 3x to both sides of the equation:
6x + 2 = 74
Subtract 2 from both sides of the equation:
6x = 72
Divide both sides of the equation by 6:
x = 12
Let me know if you have any questions about my explanation!
Answer:
Smallest Integer = 12Step-by-step explanation:
According to question ,
• First Integer → x
• Second Integer → x + 1
• Third Integer → x + 2
Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,
→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )
→ x + 2x + 2 = 80 - 3x - 6
→ 3x + 2 = -3x + 74
→ 3x + 3x = 74 - 2
→ 6x = 72
→ x = 72/6
→ x = 12
Hence , value of x is 12 that means :
→ x = First Integer = 12
→ x + 1 = Second Integer = 13
→ x + 2 = Third Integer = 14
In all of these x is the smallest integer and hence 12 is the correct answer .
Related Questions
Which expression is equivalent to
13c + 9f - 7f + 3c + 15 - 2
Expression 1: 16e + 2f + 13
Expression 2: 28e + 2f + 1
Expression 3: 22e + 8f + 1
Expression 4: 6e + 12f + 13
Answers
Answer:Sorry but none where c there e but no c .
But it would be 16c +2f +13 .
Step-by-step explanation:you need to combine like terms
which are 13c +3c =16c and 9f- 7f=2f and 15-2 =13 .
Hope it helps .
Identify the equation of the parabola in vertex form if a = 1 and the vertex is (4, 6).
a) y = (x - 6)2 + 4
b) y = (x + 6)2 +
+4
c)y=(x + 4)² +6
d) y = (x - 4)2 + 6
Answers
Answer:
B
Step-by-step explanation:
PLS HELP PLS PLS PLS WILL MARK BRAINLIEST
select the table representing a Linear function. (graph them if necessary)
Answers
It’s going down by the same rate of change, 2.
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost $17.20. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of another 3 panes of glass? Another 3 panes of glass cost $
q ?????????????
Answers
Answer:
$6.45
Step-by-step explanation:
Use the ALEKS calculator to find 62% of 80. Do not round your answer.
Answers
Answer:
ok Naruto
Step-by-step explanation:
49.6
How many 1/3 inch cubes does it take to fill a box with width 2 213 inches, length 3 1/3
inches, and height 2 1/3 inches?
Answers
Answer:
560 cubes
Step-by-step explanation:
Is 2 213 supposed to read 2 1/3? First calculate the volume of the box
V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches
Now calculate the volume of your 1/3 inch cube:
V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches
Now divide the V_box by V_cube:
Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes
Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15...
A. an = 9 + 2(n-1)
B. an = 9 + 2(n+1)
C. an = 9 + 2
D. an = 9 * 2(n)
Answers
Answer:
2n+7
Step-by-step explanation:
find the difference
and see the difference from the 2 Times table to the original sequence
and write it as an equation for this sequence
Answer:
A
Step-by-step explanation:
Question 5
A
B
C
D
PLEASE HELP!!!!!!
Answers
Answer:
a)x=-2.5 or x=1
Step-by-step explanation:
it's the answer
hope It helps
What is 2 to the 400th power factorial?
Answers
Step-by-step explanation:
2^400=2^(2×200)
2^(2×200) =[2^(2) ]^200
Now, [2^(2) ]^200=4^200
The power of 2 in 400! is 397.
What is the method of determination of power of prime in Factorial ?Let p is the prime number whose power is to be found
Let n is the factorial number then
p in n! = (n /p) + (n/p²) +(n/p³) + .......
until Numerator < Denominator
and after division only the integer part is taken
Therefore to determine the power of 2 in 400!
2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D
2 in 400! = 200 +100 +50+25+12+6+3+1
2 in 400 = 397
Therefore the power of 2 in 400! is 397.
To know more about power of prime in Factorial
https://brainly.com/question/4680412
#SPJ2
Linear or not linear, PLZ I’m freaking out cause this is due in like 15 mins PLEASE HELP ME
Answers
Answer:
no yes yes no
Step-by-step explanation:
because linear means straight line if the line isnt a straight equation its wrong (: other ones have example: ^3 and ^2 so that makes the problem not straight anymore (:
How many solutions does -3x+15=3(5-x) have
Answers
Answer:
Infinite solutions
Step-by-step explanation:
So if simplified it would be
-3x+15=15-3x
Which is basically the same thing if arranged
15-3x=15-3x
-3x+15 can also be 15-3x still the same thing as adding 15 to -3x
So since these are equal anything could be used
like try 0
Both get 15
Try 1
Both get 12
Try legit any number
youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)
The side lengths of a triangle are 5, 3, and 4. Is this a right triangle?
A. Yes, because 32 +
*#2352
B. Yes, because 32 + 42 = 52,
O C. No, because 32 +42 + 52.
D. No, because 3+ 4+5.
Answers
Step-by-step explanation:
Given that,
The side lengths of a triangle are 5,3 and 4.
For a right triangle, the Pythagoras theorem is applicable. We know that, for a right triangle,
[tex]H^2=b^2+h^2[/tex]
Where
H is Hypotenuse
b is base
h is perpendicular height
If we put b = 3. h = 4, then
[tex]H^2=3^2+4^2\\\\H^2=9+16\\\\H=5[/tex]
Hence, it will form a right triangle.
What percentage of students age 15 and above travel to school by car? Round to the nearest whole percent.
Answers
Answer:
18%
Step-by-step explanation:
First, we need to find out the underage of 15 for walking/biking. 152-65=87
then we subtract 87 and 60 from 165 to get 18%
Solve for t.
-35 = 7t
O t= -5
Ot=-
O t = 28
Of = 42
Answers
Answer:
Literally divide by 7 and you get -5
To rent a certain meeting room, a college charges a reservation fee of $48 and an additional fee of $8.80 per hour. The film club wants to spend less than $100.80 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answers
Answer:
6 hours
Step-by-step explanation:
48 + 8.80
56.8 + 8.80
65.6 +8.80
74.4 + 8.80
83.2 +8.80
92 + 8.80
100.8
Given the function y=2x and the domain (-1, 0, 1, 2), the corresponding range is (-2,
0.2, 6).
True
False
Answers
2x2≠6
This diagram represents 3 batches of light yellow paint. Draw a diagram that represents 1 batch of the same shade of light yellow paint. white paint (cups) yellow paint (cups) Show your work here.
Answers
Answer: we need 3 cups of white paint and 5 of yellow paint if we want to make 1 batch.
Step-by-step explanation:
I suppose that each one of these squares represents one cup of the given color.
(the white squares represent the cups of white paint and the yellow squares represent the number of cups of yellow paint)
We know that for 3 batches of the paint, we need:
9 cups of white paint.
15 cups of yellow paint.
Now, if we only want to do one batch, then we should use one-third of these numbers of cups. (Because with that we make 3 batches, and one-third of 3 batches is one batch)
Originally, we use 9 cups of white paint, then for one batch we need one-third of 9 cups, this is:
9/3 = 3
Then we should use 3 cups of white paint.
And for the yellow paint, we originally use 15 cups, one-third of 15 is:
15/3 = 5
Then we should use 5 cups of yellow paint.
We can conclude that we need 3 cups of white paint and 5 cups of yellow paint if we want to make 1 batch.
This would be represented with 3 white squares and 5 yellow squares.
Printer A can print 21 pages per minute. Printer B can print 1300 per hour. Which printer will have the biggest number of pages in two hours.
(please show work)
Answers
Answer:
Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.
Step-by-step explanation:
PLEASE HELP AND GET POINTS!
Answers
Answer:
i think 6 x 72 = calculator
Step-by-step explanation:
Answer:
6 x 70 = calculator
Step-by-step explanation:
QL
Find the x- and y-intercepts of the equation.
-x + 2y = 4
O (4,0). (0,2)
O None of these
O (-4.0), (0.-2)
O (4.0), (0, -2)
O (-4.0), (0.2)
pls help
Answers
Answer:
Option 2: none of these
Step-by-step explanation:
-x +2y= 4
x-intercept occurs at y=0.
When y=0,
-x +2(0)= 4
-x= 4
x= -4
Thus, x-intercept is (-4,0).
y-intercept occurs at x=0.
When x=0,
0 +2y= 4
2y= 4
y= 4 ÷2
y= 2
Thus, y-intercept is (0,2).
*When writing coordinates, the x and y coordinates are separated by a comma in the bracket. If the 3rd option is a comma instead of a dot (which could instead denote a multiplication sign), it would be the correct option.
Pls sum one help me I need it
Answers
Answer:
3.9
Step-by-step explanation:
bshwhsbwjwwjusushs
√
15
≈
3.87298334620741688517
But since you wanted it rounded to the nearest tenth it’s going to be 3.9
A circle has a diameter of 18 feet. Which following is closest to the l circumference of the circle?
A-28.3ft
B-56.5ft
C-113.1ft
D-245.5ft
Answers
circumference =2×pi×r
18/2=9(r)
so...2×pi×9
=54..5
Answer:
56.5 ft
Step-by-step explanation:
We define the number π as the ratio between the circumference and diameter of a circle: π = c/d. Rearranging this equation gives us one for the circumference: c = πd. Using an approximation of π ≈ 3.14 and our value of d = 18 feet, we can find that c = 3.14(18) = 56.52 ft, or 56.5 ft, rounded to the nearest tenth.
Find cos θ for θ = 60°
Answers
Question
Find cos θ for θ = 60°
PLZ HELP ME I REALLY NEED IT?!?
Answers
Answer:
he bought 17 book.
Solve the following system of equations using the elimination method. 5x + y = 9 –10x + 7y = 18 Question 6 options: A) (2,–6) B) (–7,3) C) (3,–4) D) (1,4)
Answers
Answer:
Step-by-step explanation:
5x + y = 9
-10x + 7y = 18
10x + 2y = 18
-10x + 7y = 18
9y = 36
y = 4
5x + 4 = 9
5x = 5
x = 1
(1,4)
answer is D
If x < 0 and y > 0, determine the sign of the real number. (a) x y positive negative (b) xy2 positive negative (c) x − y xy positive negative (d) y(y − x) positive negative
Answers
Answer:
From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.
(a)x y : x is negative and y is positive
⇒negative x positive = negative
Therefore, xy is negative
(b)x[tex]y^{2}[/tex] : x is negative and [tex]y^{2}[/tex] is positive
⇒negative x positive = negative
Therefore, x[tex]y^{2}[/tex] is negative
(c) (x − y)xy : x is negative and [tex]y^{2}[/tex] is positive
⇒(x − y) is negative and xy is negative {from (a)}
⇒negative x negative = positive
Therefore, (x-y)xy is negative
(d) y(y − x): x is negative and y is positive
here y - x is positive
⇒positive x positive = positive
Therefore, (y-x)y is negative
Tatiana’s book has an area of 88 square inches what are the length and width measurements of the book
Answers
Answer:
9.38 inch
Step-by-step explanation:
[tex]length \: = width \: = \sqrt{area} = \sqrt{88} = 9.38 \: inch[/tex]
Answer:
9.38 inch
Step-by-step explanation:
Solve the inequality. Graph the solution set and write it in interval notation. .
15x - 35 > 5(2x - 11)
I thought the end of the arrow wild be open but it's showing a [ and a( at the end which is correct ?
Answers
Answer:
-4
Step-by-step explanation:
where is the point ( 0,-4) located on the coordinate plane
A. on the y-axis
B. in Quadrant 3
c. on the x-axis
d. in quadrant 4
Answers
Answer:
A
Step-by-step explanation:
If you plot the point on a cartesian plane you see it is on the y axis
Answer:
D
Step-by-step explanation:
whoever’s correct i will make their question as brainliest! :) be quick please