a. Write an equation representing the fact that the product of two consecutive even integers is 80. Use x to represent the smaller integer.
b. Solve the equation from part (a) to find the two integers
Answer:
a.
[tex]x \times (x + 2) = 80[/tex]
Hope it helped
please mark BRAINLIEST
a. The equation will be of the form x(x+2) = 80.
b. The two numbers are 8 and 10.
What is an integer ?An integer is a number which has no decimal value.
According to the given question we have to write an equation representing the fact the product of two consecutive even integers is 80.
Let us represent the smaller integer x and the greater integer by (x+2).
As even numbers comes after every 2 digits.
∴ x(x+2) = 80
x² + 2x = 80
x² + 2x - 80 = 0
x² + 10x - 8x - 80 = 0
x(x+10) - 8(x+10) = 0
(x+10) = 0 OR (x-8) = 0
x = -10 OR x = 8. ( x = 8 is the valid option as it satisfies the given equation)
The two integers are 8 and 10.
learn more about integers here :
https://brainly.com/question/16941498
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A rectangular garden has length and width as given by the expressions below. Length: 4 - 7 (3x + 4y) Width: 3x(-2y) Write a simplified expression for the perimeter of the rectangle.
Answer:
⇒ 8 − ⇒ 42x − ⇒ 56y − ⇒ 12xy
Step-by-step explanation:
Im smart
Answer:
8 − 42x − 56y − 12xy
Step-by-step explanation:
Yes.
Someone help me please
Answer:
3
Step-by-step explanation:
Please someone actually help me with this
Answer:
π radians
Step-by-step explanation:
The angle subtended at the centre by an arc, has the same measure as the arc subtending it, then
angle subtended = measure of arc = π radians
bag contains 16 balls 4 are blue. how what percentage of balls are blue ?
Answer:
25% is the answer. 4 is 25% of 16.
What is the simplest form of the numerical expression 5+16/4-2^3 ?
Answer:
5+4-8
Step-by-step explanation:
edge is stressful how do you get caught up quick
Please help i am confusion
Answer:
h=40 and k=10
Step-by-step explanation:
Simultaneous equation!!!
At your first job you make $1200 a month of that you save $200 a month. Your goal is to save 20% did you reach your goal?
Answer:
No, you didn't
Step-by-step explanation:
20% of $1200 is:
0.2*$1200 = $240Since you saved $200 and its less than $240 you didn't reach your goal
Hi there!
No:
200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.
If it was 20% of 1200, it would then be 240 since 240·5=1200...
What this means:
No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.
PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)
The question is in the picture!
Answer:
don't see
Step-by-step explanation:
What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent
Answer:
64.58
Step-by-step explanation:
Answer:154.84%
Step-by-step explanation:
what is the "input" of a function
PLS HELP!! GIVING BRAINLIST!!
Li tried to evaluate an expression step by step. Find Li's mistake. What is the mistake he made. Is it A:step 1, B:step 2, C:step 3 or D: Li did not make a mistake ???
Answer: C Step 3
Step-by-step explanation: I passed
Can anyone help me? I have to write an equation.
if its in slope intercept witch I expect then,
Y=Mx+b
Y=1/5+4
The hall has 10 windows that measure 2m across and 2m high. It also has 4
doors that measure 2m high and 1,8m across
i)
What is the area of all four walls in the hall (including all windows and
doors)?
what the answer and how do I solve it?
Answer:
5xy^2z
Step-by-step explanation:
(-15/-3) x (x^6/x^5) x (y^5/y^3) x z = 5xy^2z
Answer:
[tex]5xy^2z[/tex]
Step-by-step explanation:
5) If Oskar bisects the diameter of a circle, what is he trying to construct?
6) What is the center and radius of a circle with the equation (x - 5)+ (y + 3)2 = 49
Answer:
Center = (5,-3) and radius = 7
Step-by-step explanation:
(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.
(6) The given equation is :
[tex](x-5)^2+(y+3)^2=49[/tex]
The general equation of circle is given by :
[tex](x-a)^2+(y-b)^2=r^2[/tex] ...(1)
Where
(a,b) are the coordinates of the centre and r is the radius.
The given equation can be written as :
[tex](x-5)^2+(y+3)^2=7^2[/tex] ..(2)
Comparing equation (1) and (2) we get :
a = 5, b = -3 and r = 7
So,
Center = (5,-3) and radius = 7
Hence, this is the required solution.
The perimeter of a rectangle is 54 cm. The width is 1 cm shorter than the length. What is the length and width of the rectangle
Answer:
13 is the width and 14 is the length
Step-by-step explanation:
I divided 54 and got 13.5 then I started adding random numbers around 13 like 12+12+13+13 that didn't work it came out to 50 so I went up and did 13+13+14+14 and got my answer
The radius of a circular clock is 10.5 inches.Which measurement is the closet to the measurement of the circumference of the clock in inches.
A.33
B.132
C.66
D.346
Answer:
C: 66 in.
Step-by-step explanation:
The circumference formula is C = 2(pi)(r). Here, r = 10.5 in. Thus, the circumference of the clock to the nearest inch is:
2(3.14)(10.5 in) = 65.94 in, which rounds off to C: 66 in.
Simplify (3x2 - 2) + (2x2 - 6x + 3). (1 point)
a
5x2 - 6x + 1
Ob
5x2 - 6x -1
Oc
x²- 6x +1
Od
5x2 - 8x + 3
Answer:
A) 5x² - 6x + 1
Step-by-step explanation:
In this question, you would have to simplify the expression.
Solve:
(3x² - 2) + (2x² - 6x + 3)
Combine like terms.
3x² - 2 + 2x² - 6x + 3)
5x² - 2 - 6x + 3
5x² - 6x + 1
Since there's no more like terms, we have completely simplified the expression.
Therefore, your answer would be A) 5x² - 6x + 1
A group of people went to a coffee shop.
Each person chose a drink and a treat.
number of people who chose coffee: number of people who chose tea = 1:4
Of those who chose coffee,
number of people who chose a muffin number of people who chose a tart = 2:7
Of those who chose tea,
number of people who chose a muffin : number of people who chose a tart = 5:1
What fraction of the people chose a tart?
Answer:
Fraction of the people chose a tart = [tex]\frac{13}{45}[/tex]
Step-by-step explanation:
Given - A group of people went to a coffee shop. Each person chose a
drink and a treat. number of people who chose coffee: number of
people who chose tea = 1:4. Of those who chose coffee, number of
people who chose a muffin number of people who chose a tart =
2:7. Of those who chose tea, number of people who chose a muffin
: number of people who chose a tart = 5:1.
To find - What fraction of the people chose a tart?
Proof -
Let the Total number of People went to a coffee shop = 5x
Now,
As given, number of people who chose coffee: number of people who chose tea = 1:4
⇒Total number of people who chooses coffee = [tex]\frac{1}{5}.5x[/tex] = x
Total number of people who chooses tea = [tex]\frac{4}{5}.5x[/tex] = 4x
Now,
As given,
Of those who choose coffee, number of people who chose a muffin number of people who chose a tart = 2:7
⇒Total number of people who choose muffin after coffee = [tex]\frac{2}{9}x[/tex]
Total number of people who choose tart after coffee = [tex]\frac{7}{9}x[/tex]
Also,
Given that
Of those who chose tea, number of people who chose a muffin : number of people who chose a tart = 5:1
⇒Total number of people who choose muffin after tea = [tex]\frac{5}{6}.4x = \frac{20}{6}x[/tex]
Total number of people who choose tart after tea = [tex]\frac{1}{6}.4x = \frac{4}{6}x[/tex]
∴ we get
Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea
⇒Total number of people who chooses tart = [tex]\frac{7}{9}x[/tex] + [tex]\frac{4}{6}x[/tex]
= [tex]\frac{7}{9}x + \frac{2}{3}x[/tex]
= [tex]\frac{7x + 6x}{9}[/tex]
= [tex]\frac{13}{9}x[/tex]
⇒Total number of people who chooses tart = [tex]\frac{13}{9}x[/tex]
Now,
Fraction of the people chose a tart = [tex]\frac{People choose tart}{Total people}[/tex]
= [tex]\frac{\frac{13}{9}x }{5x}[/tex]
= [tex]\frac{13}{45}[/tex]
⇒Fraction of the people chose a tart = [tex]\frac{13}{45}[/tex]
Christy is 3 years older than Jamie. The sum of their ages is 23. How old is Jackie?
Explain pls
christy is 13 and jamie is 10
What is the solution to this system of linear equations?
y - 4x=7
2y + 4x = 2
(3,1)
(1,3)
3.-1)
(-1,3)
[tex]y=7+4x\\2(7+4x) +4x=2\\14+8x+4x=2\\14+12x=2\\12x=-12\\x=-1\\\\y-4(-1)=7\\y+4=7\\y=3[/tex]
(-1,3)
GENGUR
20. Gençlik ve Spor bakanlığının düzenlemiş
olduğu Gençlik Kamplarına bu yıl her ilden 16
öğrenci katılmıştır.
Torkiye'de 81 l bulunduğuna göre Gençlik
kamplarne katılan toplam Oğrenci sayısı kaçtır?
Answer:
11 cevapppppppppppppp bb
find x, find jl . any help is deeply appreciated :) !
Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78
on 5x (2 + 1)2 : 3 =
Step 1 Add 2 to both sides.
5x=3+2
Step 2 Simplify 3+23+2 to 55.
5x=5
Step 3 Divide both sides by 5.
x=1
Hoped this helped :)
Also if this answered your question you can maybe give me brainilest?
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?
Answer: C. 0 ≤ x ≤ 230
When the A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].
Calculation of the domain of the equation:Here the domain is the values of 'x' in the function f(x).
the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)
So, the domain of the function for this situation is [0,260].
Learn more about domain here: https://brainly.com/question/18573273
Who suspended the constitution of Mexico and ended American settlement in Texas?
Santa Anna
William Henry Harrison
Stephen F. Austin
Martin Van Buren
Davy Crockett
no guessing, I got mods :/ ty for the help ill give u brainiest <3
Answer:
Santa Anna
Step-by-step explanation:
It was my quiz just now and I got it right.
Answer:
Correct Answer: A. Santa Anna
Step-by-step explanation:
I can confirm that Santa Anna is correct.