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
Answers
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.
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Related Questions
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
4%
?
The sales tax is $
The total cost is $
Answers
Answer:
Tax = $2.00, cost of item = $52.00
Step-by-step explanation:
Multiply 50(.04) = $2.00, then add $50 + $2 = $52
Answer:
Sales tax 2.00, Total cost=52.00
Step-by-step explanation:
50 x .04=2 sales tax
50+2=52 total price
PLEASE HELP IM GONNA FAIL WILL GIVE BRIANLESS
Answers
Answer:
8) 1,965,600 passwords
9) 1/8
Step-by-step explanation:
8) 9 · 8 · 7 · 6 ·26 ·25 = 1,965,600
9) 1/2 · 1/2 · 1/2 = 1/8
A diagram of a swimming
pool is below. The width of
the pool is 25 m, find the
length of the actual pool?
7.5 cm
15 cm
Answers
7.5×2 = 15
25×2 = 50
f(x) = 10(1/2)x is it linear, exponential or neither
Answers
Answer:
It is a linear.
Step-by-step explanation:
Because after factor the function you will get f(x)= 5x, and the linear function is y=ax.
I need help with math
Answers
Answer: c +5 is the same as c+5 and 2 of (c+5) equals 30, so 30/2 will equal the price of 1 pizza.
Answer:
The answer is $10
Step-by-step explanation:
c+5 multiplied by 2 is 2c+10=30 subtract ten to get 2c=20 divide by 2 and get your answer c=10
Sumaya is using two different strings of Christmas lights to decorate her house.one string flashes every 10 seconds.the other one string flashes every 15 seconds.when Sumaya turns on the lights they flashes at the same time.work out how long it will be before they flash again at the same time.use the LCM to help you work out your answer
Answers
Answer: 30 seconds
Step-by-step explanation:
From the question, we are informed that one string flashes every 10 seconds while the other one string flashes every 15 seconds.
The number of minutes that it'll take before they both flash again at the same time will be gotten by calculating the LCM of 10 and 15. This will be:
10 = 10, 20, 30, 40, 50 ...
15 = 15, 30, 45, 60, 75 ....
We can see that the lowest common multiple of 10 and 15 is 30. Therefore, the answer is 30.
They'll both flash again at same time in 30 seconds.
This year, a farmer planted 300 acres of corn. This was 1.5 times as many acres as he planted last year. How many acres did he plant this year?
Answers
Answer:
600 acres
Step-by-step explanation:
brainest vote pleasee
Rewrite the expression in the form z^n
Answers
Answer:
[tex] {z}^{ \frac{1}{2} } [/tex]
Step-by-step explanation:
[tex] \huge \sqrt[5]{ {z}^{4} {z}^{ - \frac{3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{4 - \frac{3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{ \frac{8 - 3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{ \frac{5}{2} } } \\ \\ = \huge {z}^{ \frac{5}{2} \times \frac{1}{5} } \\ \\ = \huge {z}^{ \frac{1}{2} } [/tex]
pls help!! and show your work. i'm confused on it
Answers
Answer:
2.3×10/10=23/10=2 3/10 is mixed number
HELP, this is really hard and i’m struggling
Answers
Answer:
B or 2
Step-by-step explanation:
Because 2 and 4 are alternative interior angles that means that they are equal, but on the inside of the traversal (Parallels AB and CD)
Hope this helped :)
Answer:
it should be angle 2 and 4
Step-by-step explanation:
since 2 and 4 are interior angles they are the same and congruent so they have to be equal for the line to be parallel
Help????? 5 rate its due at 8:00 hehee.....
Answers
Each quadrilateral below is a parallelogram. Find the missing measures
Answers
Answer:
[tex]ST=3[/tex], [tex]VT=10[/tex], [tex]m[/tex]∠[tex]V=48[/tex]°, [tex]m[/tex]∠[tex]T=132[/tex]°
Step-by-step explanation:
In a parallelogram, opposite sides are congruent and therefore have the same length. Thus, [tex]ST=RV=3[/tex] and [tex]VT=RS=10[/tex].
Similarly, opposite angles in a parallelogram are congruent and therefore have the same measure. Thus, [tex]m[/tex]∠[tex]V=m[/tex]∠[tex]S=48[/tex]° and [tex]m[/tex]∠[tex]T=m[/tex]∠[tex]R=132[/tex]°. Hope this helps!
2. What does Decay means?
O To increase more and more.
O To get lesser and lesser.
O To multiply.
O To get higher.
Answers
PLEASE HELP ME WITH THIS ASAP
Answers
Answer:
a) When x = 2, y = 0
and when x = 3, y = 4
b) curve C
c) 2 and -1
Step-by-step explanation:
Write a System of Equations to solve the following problem:
The school that Maria goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 12 student tickets for a total of $51. The school took in $93 on the second day by selling 5 senior citizen tickets and 6 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Cost of Senior Citizen Ticket: $
Cost of Student Ticket: $
Answers
Answer:
Cost of Senior Citizen Ticket: $15
Cost of Student Ticket: $3
Step-by-step explanation:
Let the price of a senior citizen ticket be s.
Let the price of a student ticket be t.
Day 1:
s + 12t = 51
Day 2:
5s + 6t = 93
The system of equations is:
s + 12t = 51
5s + 6t = 93
Let's use the substitution method to solve it. Solve the first equation for s.
s = 51 - 12t
Now substitute s in the second equation with 51 - 12t.
5s + 6t = 93
5(51 - 12t) + 6t = 93
255 - 60t + 6t = 93
Subtract 255 from both sides. Combine -60t and 6t.
-54t = -162
Divide both sides by -54.
t = 3
Now substitute 3 for t in the equation
s = 51 - 12t
s = 51 - 12(3)
s = 51 - 36
s = 15
Answer:
Cost of Senior Citizen Ticket: $15
Cost of Student Ticket: $3
Midsegment- Find x (x+10)(x+2)
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]
he lunch special at Saleh's Restaurant is a sandwich, a drink and a dessert. There are 2 sandwiches, 2 drinks, and 3 desserts to choose from. How many lunch specials are possible?
Answers
Answer:
2
Step-by-step explanation:
that's because there are two sandwiches and two drinks so one sandwich and drink is one lunch special
The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?
Answers
Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.
More can be learned about translation concepts at https://brainly.com/question/4521517
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6 times a number is 27 less then the square of that number find the positive soloution
Answers
Answer:
9
Step-by-step explanation:
n2-27=6n
Than n (exponet) 2 - 27 - 6n = 0
Now factor (n-9)(n+3)=0
Determine whether the expression is a polynomial. If it is a polynomial state the degree of the polynomial
3z^2 - 5z + 11
Answers
The expression is a polynomial and and the degree of the polynomial(quadratic equation) is 2.
What is a polynomial expression?
A polynomial expression is an algebraic expression that takes the form [tex]\mathbf{ax^{n > 1}+bx+c}[/tex]. It consist of variables, arithmetic operator, non-integers and coefficient.
A quadratic equation is a form of polynomial equation due to the fact that it comprises of a power of x for which x is a non-negative integer. However, the degree of a quadratic equation is 2.
Learn more about polynomial expression here:
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please help its hard btw
Answers
Answer:
4213
Step-by-step explanation:
go to the numbers that pop out and do it backwards.
A shirt is on sale for $15.75. This is 15% off the original price. What was the original price of the shirt?
$18.11
$13.39
$17.25
$18.53
Answers
Divide sale price by (1 - percent of discount):
15.75 / (1- 0.15) =
15.75 / 0.85 = 18.53
Answer = $18.53
Answer:
18.53
Step-by-step explanation:
18.53*0.15≈2.7795
Rounded = 2.78
18.53-2.78=15.75
Expand :
x(x + 7)
please help
Answers
Answer:
[tex]it \: is \: \: \: \: {x}^{2} + 7x[/tex]
Step-by-step explanation:
I hope this is be useful for you ^_^
Expand x(x+7)
SOLUTION:▶️x(x+7)
▶️x² + 7
▶️7x²
ANSWER:▶️7x²
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 1, find tan ∠A.
Answers
The value of tan∠A form the right angled triangle ABC is 1.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:
tan∠A = (tan∠B)⁻¹ = 1
The value of tan∠A form the right angled triangle ABC is 1.
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Of those who like to fish, what percent are ages 13-18?
Answers
Answer:
B.) 42.9
Step-by-step explanation:
The percent that we are trying to find out is 12/28
I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)
Anyways 12 divided by 28 = 42.857etc.
If we simplify this then that gives us our answer of B.) 42.9
trust me it’s right
Evaluate if N= -3.3 - n x n
Answers
Answer:
10.89
Step-by-step explanation:
-3.3 x -3.3 = 10.89
A negative times a negative is always a positive.
Answer: N=n 2 X - 3.3
Step-by-step explanation:
A = (1,5)
C = (1.75, 2.5)
B = (?)
Answers
Please help will give brainlest
Answers
I hope this helps
image inserted below
Answers
Answer:
you forgot the attachment
Step-by-step explanation:
...
Find the slope of each line.
The slope of your line is __
so the rate is $__ per week.
The slope of your friend's line is __
so the rate is $__ per week.
How much more money does your friend save each week than you?
Your friend saves $__ more.
I'll do 15 points this time.