Answer:
Number of cars washed at the 6th hour = 12 cars
Sum of all cars washed in 6 hours = 42 cars
Step-by-step explanation:
First term, a = 2 cars
Common difference, d = 2 cars
6th term = a + 5d
= 2 + 5(2)
= 2 + 10
= 12 cars
Sum of the 6th term = n/2{2a + (n-1) d}
= 6/2{2*2 + (6-1)2}
= 3{4 + (5)2}
= 3{4 + 10}
=3(14)
= 42 cars
Write the equation of the line that passes through the points (9,8) and (6,3). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y - 3 = 5/3(x - 6)
General Formulas and Concepts:
Algebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (9, 8)
Point (6, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3-8}{6-9}[/tex]Subtract: [tex]m=\frac{-5}{-3}[/tex]Simplify: [tex]m=\frac{5}{3}[/tex]Step 3: Write function
Slope m = 5/3
Point (6, 3)
Substitute: y - 3 = 5/3(x - 6)Question 2 of 10
Is ABC - ALMN? If so, name which similarity postulate or theorem applies.
B
75°
75
50"
А
50"
C
N
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
A
Step-by-step explanation:
two of the triangles' corresponding angles are the same even if the side lebgths are not, making these two similar
By AA similarity triangle ABC and triangle LMN are similar. Therefore, option A is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
In the given triangle ABC, ∠A=50° and ∠B=75°.
In the given triangle LMN, ∠L=50° and ∠M=75°
From the given triangles,
∠A=∠L=50°
∠B=∠M=75°
By AA similarity triangle ABC and triangle LMN are similar.
Therefore, option A is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ5
Solve for y ..............
Answer:
Im not gonna explain i will give you the answer that i came up with I currently have 60 right now hope this is right
Step-by-step explanation:
please anyone??????????
Answer:
D: 85 degrees
Step-by-step explanation:
Four-sided shape degrees add up to 360
85 + 100 + 90 = 275
360 - 275 = 85
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
answer 85
Step-by-step explanation:
85+100+90=275
360-275 = 85
plus did the question before hope it helps
Which table correctly converts inches to feet
Answer:
the third table
Step-by-step explanation:
Hope this helps and plz mark as brainliest!
The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progression that is greater than 200. Find the sum of all the terms in the progression.
Given:
The first two terms in an arithmetic progression are -2 and 5.
The last term in the progression is the only number in the progression that is greater than 200.
To find:
The sum of all the terms in the progression.
Solution:
We have,
First term : [tex]a=-2[/tex]
Common difference : [tex]d = 5 - (-2)[/tex]
[tex]= 5 + 2[/tex]
[tex]= 7[/tex]
nth term of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=-2+(n-1)(7)[/tex]
According to the equation, [tex]a_n>200[/tex].
[tex]-2+(n-1)(7)>200[/tex]
[tex](n-1)(7)>200+2[/tex]
[tex](n-1)(7)>202[/tex]
Divide both sides by 7.
[tex](n-1)>28.857[/tex]
Add 1 on both sides.
[tex]n>29.857[/tex]
So, least possible integer value is 30. It means, A.P. has 30 term.
Sum of n terms of an A.P. is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Substituting n=30, a=-2 and d=7, we get
[tex]S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7][/tex]
[tex]S_{30}=15[-4+(29)7][/tex]
[tex]S_{30}=15[-4+203][/tex]
[tex]S_{30}=15(199)[/tex]
[tex]S_{30}=2985[/tex]
Therefore, the sum of all the terms in the progression is 2985.
what is the simplest form of this ratio?
100:40:20
Answer:
52
Step-by-step explanation:
Choose the property of real number that justifies the equation. Last time I asked this the picture was cut out! Please answer quick I’m timed!
Answer:
I am thinking it is distributive property
Question 9
10 pts
Identify whether the equation has no solution, infinite solution or one solution
2x +3 = 2x + 3
Which expression represents the phrase, "five more than the quotient of a number and 16?"
A 16-n + 5
C. 5+ n - 16
B. 16n + 5
D. n/16 +5
5th grade math. Decimals. Correct answer will be marked brainliest.
Answer:
4.71 +3.80 =8.51
Step-by-step explanation:
Answer:
8.51
Step-by-step explanation:
4.71
+ 3.80
------------
8.51
~Ren
Write the equation for the Graph in Vertex form ( `y=a\left(x-h\right)^{2}`+ k) below by first determining the values of h and k.
List all of the equations, numbers, and units that they gave us? Helppppppp answer this.
Answer:
I this all for the question
Find the value of Angle A and B!!! Will mark brainliest
Answer:
A=73
B=107
Step-by-step explanation:
since the angles are across from eachother they would be the same, the total angle of all 4 added together would be 360, and 73+107 would be 180, so 180+180 is equal to 360
Suppose Metro by T-Mobile wants to offer a simple extended warranty plan. If your phone is damaged, they will repair it for up to $50. If you lose or destroy your phone, they will give you a $200 voucher towards a new phone. The company believes that 5% of customers will need the replacement voucher and 10% will request a repair. What is the standard deviation?
Answer:
45
Step-by-step explanation:
Given that :
Voucher awarded (x) :
Repair = $50
Lose or destroy = $200
P(x):
Replacement voucher = 5%
Repair voucher = 10%
X ______ 50 ______ 200
P(x) ____ 0.1 _______ 0.05
Expected variance Var(X) :
ΣX²p(x) - E(x) ;
E(x) = Σx*p(x) = (50*0.1) + (200*0.05) = 15
ΣX²p(x) = Σ[(50^2 * 0. 1) + (200^2 * 0.05)] = 250 + 2000 = 2250
Var(X) = 2250 - 15^2 = 2025
Standard deviation = √Var(x)
Standard deviation = √2025
Standard deviation = $45
I need help finding a, b, and c. Thank you!
Write a multiplication fact that goes with this division fact.
33 ÷ 11 = 3
Answer: 3 x 11 = 33
Step-by-step explanation: Hope it helped!
What percent of 35 is 21
Answer:
7.35
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
Hope this helps!!!
Can I have Brainliest???
7x – 2y = -5 which is the correct answer help a homie out pls
There are 62 girls in the seventh grade and 58 boys in the eighth grade. Each grade
has 120 students. Which statement correctly compares the
ratios of boys to girls in each grade?
Answer:
1:1
Step-by-step explanation:
since there are120 girls and120 boys
120:120
1:1
hey there, random person? Mind to answer?
your answer is 512 feet squared.
Put these in order starting from the smallest
62
34
25
59
Answer:
25 34 59 62
Step-by-step explanation:
easy shi thanks
Please help me answer this question thank you !!
Answer:
c
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ASAP
solve using the elimination process and SHOW ALL STEPS
5x+4y=2
3x+3y=-3
IM LITERALLY BEGGING FORN HELP RN
Answer:
x = 6, y = -7 or (6, -7)Step-by-step explanation:
Given system of equations
5x+4y=2 3x+3y=-3Solving as follows:
Simplify the second equation by dividing all terms by 3
3x+3y=-3 divide by 3⇒ x + y = -1Now, considering the coefficient of x of 5 in the first equation, we will multiply the simplified second equation by 5 and subtract from the first equation:
x + y = -1 multiply by 5⇒5x + 5y = -5Subtract it from 5x + 4y = 2
5x + 4y - 5x - 5y = 2 - (-5)-y = 7y = -7Finding x using simplified second equation:
x + (-7) = -1x = - 1 + 7x = 6Answer is (6, -7)
plz help...........
Answer:
1 is one of them
Step-by-step explanation:
what is the answer?
Answer:
HL
Step-by-step explanation:
The hypotenuse and the "leg" are congruent...along with the 90 degree angle.
"The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent." - Calcworkshop
y=x-1
y=x+1
((This is System of Equations))
Add 1 to both sides of the equation.
y = x - 1
2x = 3 + 1
Add 3 and 1 .
y = x - 1
2x = 4
What is 12p+3q−5−5q−8p written in simplest form?
Answer:
C.
Step-by-step explanation:
6 + 18r = 20r - 18 - 4r
Answer:
r = -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6 + 18r = 20r - 18 - 4r
Step 2: Solve for r
Combine like terms: 18r + 6 = 16r - 18Subtract 16r on both sides: 2r + 6 = -18Isolate r term: 2r = -24Isolate r: r = -12 3
42 ➗ (15-2)
I don’t know know to do this
Answer:
Step-by-step explanation:
42/13=4
What is the root of the polynomial equation *(x-2)(x+3) - 18? Use a graphing calculator and a system of
equations.
O-3
ОО
O2
O 3
Answer:
Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.
This gives you: 1 - 4 - 7 + 10 = 0.
Because 0 = 0 is a true statement, you know that x = 1 is a solution.
Step-by-step explanation:
Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.
This gives you: 1 - 4 - 7 + 10 = 0.
Because 0 = 0 is a true statement, you know that x = 1 is a solution.