Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches. Select the equation that most accurately depicts the word problem
A:x+2x^2=36
B:x+x+2x=36
C:2x+2x+2x=36
D:x+2x+2x=36
Answer:
Answer is below
Step-by-step explanation:
To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.
Answer:
D:X+2X+2X=36
Step-by-step explanation:
X+X=EQUAL AND DOUBLE THE SHORTEST SIDE
2[X+X]+[X]=36
Solve for x.
21 + 3x = -15
Answer:
21+3x=-15
-21 -21
3x=-36
÷3 ÷3
x=-12
x=-12
find the sum of the series 9+3+1+........+1/27
Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.
Answer:
10+(-4)=6
Step-by-step explanation:
Answer:
-4 + 10
Step-by-step explanation:
¡¡. PLEASE HELP !!!!
solve this equation
6x+13=9x-8
Step-by-step explanation:
Hey there!
Given;
6x + 13 = 9x - 8
Shift "6x" to right side and "-8" to left side and simplify it to get answer.
13+8 = 9x-6x
21 = 3x
x= 21/3
Therefore, x= 7.
Hope it helps...
Gabe earns $10 per hour working for a landscaping business. He earned a raise to $10.75 per hour.
What is the percent increase of Gabe’s wages? If necessary, round your answer to the nearest tenth of a percent.
4.5+ (-4.5+ 2.6)
written by using the associative property
7. Evaluate the following expression for n = 4.
2n? - 8
Simply replace n with 4 and do the math.
2n - 8
Let n = 4
2(4) - 8
8 - 8 = 0
Answer: 0
I WILL GIVE 30 POINTS PLEASE Sinorice put $7.200 in a savings account that pays 3.295 interest compounded annually.
After 3 years, he deposited another $5.000 in the account. What is the value of the account
after 8 years?
A $14 98240
B $15.116.25
C $15.596.30
D $16.073.60
thir is a sail at the store for 4 bags of chips are $11.96 at this rate what is the cost of 9 bags
Answer:
26.91
Step-by-step explanation: 11.96/4 is 2.99. so that means 1=2.99 and soon so just multiple 9 by 2.99 and you get 26.91
In eight minutes, Josh was able to type 496 words. What’s his typing speed in words per minute?
Answer:
62 words/minute
Step-by-step explanation:
496 words divided by 8 minutes= 62 words in one minute
The value of
y
is directly proportional to the value of
x
.
x
.
if
y
=
42
y
=
42
when
x
=
84
,
x
=
84
,
what is the value of
y
y
when
x
=
35
x
=
35
Answer:
y = 17.5
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 42 when x = 84, then
42 = 84k ( divide both sides by 84 )
0.5 = k
y = 0.5x ← equation of proportion
When x = 35, then
y = 0.5 × 35 = 17.5
A train leaves New Delhi at 4:00 p.m. and reaches Lucknow at midnight. Its speed is 55km/h. What is the distance between Delhi and Lucknow?
Answer:
[tex]\boxed{440 km}[/tex]
Step-by-step explanation:
→ Work out time between New Delhi and Lucknow
12:00 - 4:00 = 8:00
→ State the speed formula
Speed = Distance ÷ Time
→ Rearrange to make distance the subject
Distance = Speed × Time
→ Substitute in the values
55 × 8 = 440 km
Simplify five to the power of -4 over five to the power of three plzzzz answer
Answer:
5^-4= 0.0016
5^3= 125
Step-by-step explanation:
Two equations are shown: I will give 40 pts if someone answers
Equation 1: (x – 12) = 12
Solve each equation.
Answer:
x and y both equal 24
ILL MARK BRAINLIST IF YOU GET IT RIGHT .which expression is equivalent to s - t?
Answer:
s(6)×t(6)
hope this helps
help me I will give brainiest
Answer:
the first one is .... X = - 25/2
the second one is .... X= -3
Step-by-step explanation:
have a nice day!!!
Answer:
the second one is .... X= -3
But the other guy was wrong, the first one is -25/2 not -25/5
Step-by-step explanation:
distribute then solve two-step = to get z
4(2z-5)=-4
x = 2
Step-by-step explanation:
math lol
I'm truly deeply sorry if its wrong :'))
Answer:
z = 2
Step-by-step explanation:
Given
4(2z - 5) = - 4 ← distribute parenthesis on left side by 4
8z - 20 = - 4 ( add 20 to both sides )
8z = 16 ( divide both sides by 8 )
z = 2
If an object is dropped from a height of 39 feet, the function h(t)=-16t^2+39 gives the height of the object after t seconds. Graph the function
Answer:B
Step-by-step explanation: I took the test.
The graph of the function h(t)=-16t^2+39 is graph (b)
The equation of the function is given as:
h(t)=-16t^2+39
The above function is a quadratic function that as a y-intercept of 39.
This is shown as follows:
h(0)=-16 * 0^2+39
Evaluate the exponent
h(0)=-16 * 0+39
Evaluate the product
h(0)=0+39
Evaluate the sum
h(0)= 39
Hence, the graph of the function h(t)=-16t^2+39 is graph (b)
Read more about quadratic functions at:
https://brainly.com/question/1214333
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
Answer:
$ 2.30
Step-by-step explanation:
Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]
The cost of the book is $ 12.99.
So, the tax on the book= 8.5% of 12.99
[tex]= \frac {8.5}{100}\times 12.99[/tex]
=1.10
So, the sales tax on the book is $ 1.10.
The cost of the video game is $ 39.99.
So, the tax on the book= 8.5% of 39.99
[tex]= \frac {8.5}{100}\times 39.99[/tex]
=3.30
So, the sales tax on the book is $ 3.40.
The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30
So, the tax on the video game is $ 2.30 more than then tax on the book.
Which expressions are equivalent to 5 the power of 18
Answer:
3.8146973e+12
Step-by-step explanation:
you have to do 5x5 18 times to get this answer.
Answer:
The two on the top
Find the missing measure for Angle E.
m ∠ E =
Step-by-step explanation:
40°+63°+e=180°
103°+e=180°
e=180°-103°
e=73°
Question 3
Which expression uses the greatest common factor to rewrite 18 + 6?
A
2 (9+3)
B
6 (3+B
С
9 (2) + 3 (2)
D
6 (3) + 2 (3)
Answer:
6( 3+1)
Step-by-step explanation:
18 + 6
Factor a 6 from each term
6*3 + 6*1
6( 3+1)
If you divided $63.65 evenly among five children, how much would each
child get?
Answer$12.73
Step-by-step explanation:
$63.65/5(children) = $12.73
Answer:
$12.73
Step-by-step explanation:
$63.65/5=$12.73
The sum of two consecutive odd integers is 84. Find the two integers.
Step 1 of 2: Set up an equation using the variable n as the smallest integer. Do not solve the problem.
Answer
Tutor
Skip
© 2020 Hawkes Learning
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.
Answer: n + (n + 2) = 84
Step-by-step explanation:
If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.
Answer:
41 and 43.
Step-by-step explanation:
We can divide 84 by 2 and add and subtract 1 from the result to get 41 and 43 as the two numbers. For any number n that is divisible by 2, we can solve this problem by finding n/2 + 1 and n/2-1. These will always be consecutive odd numbers and if you add them up, you get n.
Does 2 times 36 equal 3 times 24
Answer:
Yes
Step-by-step explanation:
[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]
Answer:
Yes.
Step-by-step explanation:
2 times 36 = 72 and 3 times 24 = 72
Hope this helped! ^-^
Can you explain why a larger denominator actually means the fraction is smaller than a fraction with a smaller denominator? Why is it helpful to know how to compare and order fractions? Can you think of situations where you will need to compare and/or order fractions?
Answer:
It is helpful to know how to compare and order fractions because when doing division between different groups or classes it is easy to determine their share and so on.
Step-by-step explanation:
Suppose we have two fractions 1/2 and 1/3 . And suppose we have two cakes of equal sizes. We cut the first cake into 2 equal parts and the 2nd cake into three equal parts.
Now comparing both the cakes the cake with two pieces will have a larger piece as compared to the cake having three pieces.
So 1/2 > 1/3
or half of the cake is greater than one third of the cake.
The larger denominator means a smaller fraction because it shows greater number of divisions. Like wise a fraction with smaller denominator is a larger fraction as it shows smaller number of divisions.
It is helpful to know how to compare and order fractions because when doing division between different groups or classes it is easy to determine their share and so on.
It can be employed between the different groups and to find different rates / scores or for statistical calculations etc.
In finding the order of division and so on.
Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Answer:
There were 4 adults; including Mr. Torres
Step-by-step explanation:
- Each row in the stadium had 9 seats
- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)
- The arrangement of the students and the adults who sat with them on same row is: A S S S A S S S A
1 2 3 4 5 6 7 8 9
since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.
So the total number of adults that were present = 3 + 1 = 4
Leo the Rabbit
Leo the Rabbit is climbing up a flight of 10 steps. Leo can only hop up 1 or 2 steps each time he hops. He never hops down, only up. How many different ways can Leo hop up the flight of 10 steps? Provide evidence to justify your thinking.
Can someone provide an answer and explain. Thanks
Answer:
2?
Step-by-step explanation: because he can hop them one step at a time or two steps at a time