Answer:
The original length of each side of the equilateral triangle = x =15 inches
Step-by-step explanation:
Let Original length of side of equilateral triangle = x
If it is increased by 5 inches, the length will become = x+5
Since in equilateral triangle all the ides have same length so,
New Length of side 1 = x+5
New of side 2 = x+5
New Length of side 3 = x+5
Perimeter of triangle = 60 inches
We need to find the value of x
The formula used is: [tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3[/tex]
Putting values in formula and finding x
[tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15[/tex]
So, the original length of each side of the equilateral triangle = x =15 inches
plz help!!
32 25 18 11 4
These are the first 5 terms of sequence
Find(a)6th term
(b)nth term
(c)which term is equal to -332
Answers
A 3
B t = -7n +39
C 51.571
It is declining!
32 to 25 decreases by 7
25 to 18 decreases by 7
18 to 11 decreses by 7
The sequence is linear!
39 is the 0th term and our numbers are decreasing by 7 each term.
t = -7n +39 is our equation
a) -7(6) + 39
-49 + 39
3
b) to find nth term replace the term with n in this equation:
t = -7n +39
c) -332 = -7n +39
Subtract 39 from both sides!
-361 = -7n
Divide both sides by -7!
n = 51.571
The 6th term will be equal to -3, the nth term of the sequence will be equal to -7n + 39 and the term will be the 53rd term.
What is the arithmetic sequence?Two definitions are given for an arithmetic sequence. A "series where the variances in between every two succeeding terms are the same" is what it is.
Each term in an algebraic expression is created by multiplying its previous term by a specified integer (either positive, negative, or zero).
As per the given information in the question,
The sequence is given as:
32, 25, 18, 11, 4
(a)
a = 32
d = 25 - 32 = -7
n = 6
Then,
a₆ = a + (n - 1)d
a₆ = 32 + (6 - 1)(-7)
= 32 - 35
= -3
(b)
Find the nth term.
[tex]a_n[/tex] = a + (n - 1)d
= 32 + (n - 1)(-7)
= 32 -7n + 7
[tex]a_n[/tex] = -7n + 39
(c)
-332 = 32 + (n - 1)(-7)
-332 - 32 -7 = -7n
n = -371/-7
n = 53rd term.
To know more about the arithmetic sequence:
https://brainly.com/question/15412619
#SPJ2
The equation of the line of best fit of a scatter plot is y = −5x − 2. What is the slope of the equation?
Group of answer choices
-5
-2
2
5
Answer:
-5
Step-by-step explanation:
Because y=Mx=b and m is the slope
Answer:
-5
Step-by-step explanation:
person above me
Find the value of a if [tex]\frac{x(x+a)}{x^2-9} =\frac{x}{x+3}[/tex]
Use the graph to solve the system of linear equations.
Answer:
there is nothin there -.-
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is no graph but the formula is y=mx+b
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
Answer:
A, B, D
Step-by-step explanation:
what is a figurative language
Answer:
What does figurative language mean? Figurative language is language that's intended to create an image, association, or other effect in the mind of the listener or reader that goes beyond the literal meaning or expected use of the words involved.
Step-by-step explanation: an example is
Although it's often debated how many types of figurative language there are, it's safe to say there are at least five main categories. ... They are: metaphors, similes, personification, hyperbole, and symbolism.
Answer:
Figurative Language: A language that expresses something beyond its literal meaning
Hope this helped!
write the equation for the line that goes through the points (-8,2) and (7,7)
Answer:
y=3x+(0,4.5)
Step-by-step explanation:
i did this in my head, but the difference between -8 and 7 is 15. the difference between 2 and 7 is 5. it's rise over run so (15,5). that simplified is (3,1)/3. that is the slope. now you need a graph to see the y-int. the y-int is around 4.5.
1/2 dived by what equlels 4
Answer:
1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 / ? = 4
1/2 / 4 = ?
1/2 = 4 x ?
1/2 / 1/8 = 4
Marie has a container of oatmeal. She uses 1/4 cup of the oatmeal for breakfast and 3/8 cup for a cookie recipe. What is the total change in the amount of milk she has? Why are 1/4 and 3/8 represented with negative numbers on the number line in the example
Answer:
-5/8
1/4 and 3/8 are represented as negative because it depicts a decline or reduction in the initial amount
Step-by-step explanation:
Given that :
Breakfast = 1/4 cup of Oatmeal
Cookie recipe = 3/8 cups
Change in total amount had :
total amount used = (breakfast + cookie recipe)
= 1/4 + 3/8
= (2 + 3) / 8
= 5 / 8
Hence, change in amount had = - 5/8
1/4 and 3/8 are represented as negative because it depicts a decline or reduction in the initial amount
Nathan and Jordan design surveys to determine the average amount of time bicyclists in a race spend training each
week. Nathan surveys every fifth bicyclist crossing the finish line after a race. Jordan surveys the first five bicyclists to
finish the race. Which best explains which sample is likely to be the most valid?
Nathan's because his sample was more random
O Jordan's because his sample was more random
Nathan's because his sample contained elements of the population
Jordan's because his sample contained elements of the population
Answer: Nathan's because his sample was more random
Step-by-step explanation:
Nathan's survey could be described as a Systematic random sampling technique whereby every 5th observation taken as a sample from the population. With these technique we have a more random observation than with
Answer:
A
Step-by-step explanation:
What is the remainder when 3x2−7x+5 is divided by x+5?
Answer:
35 is the remainder
Step-by-step explanation:
have a good Thanksgiving tomorrow
what is the value of third digit 6.56
Answer:
The value of the third digit is 6 hundredths, think back to place values from second grade.
The rectangle has a length of 8 inches and height of 4 inches. The triangle has a base of 2 inches and height of 4 inches. What is the probability that a point randomly chosen in the rectangle is in the triangle? A StartFraction 1 over 8 EndFraction B One-fourth C Three-fourths D StartFraction 7 over 8 EndFraction
Answer:
yes
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
Find the equation between the points (-8,0), (-5,5)
calculators are sold to students for $20 each. 300 students are willing to buy them for that price. For each five dollars increase in price, there are 30 fewer students that are willing to buy the calculator.
a. what selling price will produce the maximum revenue?
b. what will the maximum revenue be?
Look at the picture please don’t guess
Answer:5,6
Step-by-step explanation:
Factor by grouping
8x2+6x+4x+3
Answer:
8x+6x+4x=18x 2+3=5
=18x+5
Answer:
19+10x
Step-by-step explanation:
16+6x+4x+3
19+10x
Pleasse help me with this
Answer:
Step-by-step explanation:
30% off of $18.00
so that makes the price $12.60
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 3 : 10. You bake 20 oatmeal cookies. How many chocolate chip cookies do you bake?
Answer
6 chocolate chip cookies :)
Step-by-step explanation:
So this is VERY simple...
Oatmeal is OChocolate is C3:10
C:O
and it says you bake 20 Oatmeal cookies
3:10
C:20
OR
3/10 is c/20
you multiply 2 on the bottom so you do the same thing on the top
3 x 3 = 6
Answer:
6 chocolate chip cookies!
Step-by-step explanation:
Solve using EQUATIONS (with step by step explanation)
3x+y=-9
y=5x+7
Answer:
3x+y=-9= 0 then y=5x+7=0
Step-by-step explanation:
Slope=−
2.000
6.000
=−3.000
x−intercept=−
3
9
=−3
y−intercept=−
1
9
=−9.00000
=
2.000
10.000
=5.000
x−intercept=
−5
7
=−1.40000
y−intercept=
1
7
=7.00000 i believe
You look at real estate ads for houses in Naples, Florida. There are many houses ranging from $200,000 to $500,000 in price. The few houses on the water, however, have prices up to $15 million. The distribution of house prices will be:_____. a. skewed to the left.b. roughly symmetric.c. skewed to the right.
Answer:
d. skewed to the right with possible outliers
Step-by-step explanation:
The distribution of house prices will be skewed to the right with possible outliers. This is because the regular median prices are still fairly far apart from each other with roughly $300,000 in difference between them. Also since there are some extreme house prices also included that greatly surpass the normal range these would be considered outliers in the data set.
what is the answer?
Answer:
2 hours
Step-by-step explanation:
two hours is the closest number to 0 they all reach.
4x + 2 = 10 and 4x = 8
Answer:
4x=8,x=2
4x+2=10,x=1
Step-by-step explanation:
Please helpp anyone
Step-by-step explanation:
let equation of the line be y = mx + b.
m = - 100/60 = - 5/3
sub (0, 100):
100 = -5/3(0) + b
b = 100
therefore, y = -5/3x + 100
Topic: coordinate geometry
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
y = -5/3x + 100
Step-by-step explanation:
Find slope change in y over change in x
-100/60
-5/3
find y-int
100
y = -5/3x +100
how many questions can i miss out of 25?
Answer:
if there are 25 questions, you can miss all of them. The ones you get right will give you 4 points.
Step-by-step explanation:
y varies directly with x. When y = 16, X = 80. What does y equal when x = 125?
a.) 50
b.) 25
c.) 15
d.) 20
Answer:
25
The correct answer is 25
5/6 k= -10 what is k equal
Answer:
k = -12
Step-by-step explanation:
5/6 k = -10
6 x 5/6 = 6 (-10)
5 k = -60
5k/5 = -60/5
k = -12
Answer:
k = -12
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
5/6k = -10
Step 2: Solve for k
Divide both sides by 5/6: k = -12Step 3: Check
Plug in k to verify it's a solution.
Substitute: 5/6(-12) = -10Multiply: -10 = -10Answer my question please
Answer:
Lol where the answer
Step-by-step explanation:
You just got your first paycheck. The gross amount was $187.15, and the net amount was $150.55. The state tax, FICA, and Medicare totaled $17.60. How much was the federal income tax?
Your answer
Answer:
o.8
Step-by-step explanation:
What is the least integer that is a solution of 2r-4.4>-8.6?
Answer:
- 2
Step-by-step explanation:
2r - 4.4 > - 8.6
2r > - 8.6 + 4.4
2r > - 4.2
r > - 2.1
The least integer is - 2