Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
8a₈ = 12a₁₂d = -2,a₁ = ?=============
Solutionaₙ = a₁ + (n-1)d
a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 228a₈ = 12a₁₂
8(a₁ - 14) = 12(a₁ - 22)2(a₁ - 14) = 3(a₁ - 22)2a₁ - 28 = 3a₁ - 663a₁ - 2a₁ = -28 + 66a₁ = 38PLSSS HELPP ASAPP and plssssss SHOW UR WORK PLSSS & TYY
if JL=5x+2, find JL
Answer:
62
Step-by-step explanation:
JL = JK + KL
5x + 2 = 3x - 1 + 27 add like terms
5x + 2 = 3x + 26
2x = 24
x = 12
JL = 12 × 5 + 2
JL = 62
x/w = z/y². solve for y
Answer:
Step-by-step explanation:
We can simplify (cross multiply) to get [tex]xy^2=wz[/tex]
Then we easily simplify to get [tex]y=\sqrt{\frac{wz}{x}},\:y=-\sqrt{\frac{wz}{x}};\quad \:w\ne \:0,\:x\ne \:0[/tex]
A box contains $7.45 in nickels, dimes, and quarters. There are 43 coins in all, and the sum of the numbers of nickels and dimes is 3 less than the number of quarters. How many coins of each kind are there?
Answer:
Number of nickels = 6
Number of dimes = 14
Number of quarters = 23
Step-by-step explanation:
Total number of coins = 43
Let number of nickels = n
Let number of dimes = d
Let number of quarters = q
[tex]n+d+q=43 ...... (1)[/tex]
Money in n nickels = [tex]n \times 0.05[/tex]
Money in d dimes = [tex]d \times 0.10[/tex]
Money in q quarters = [tex]q \times 0.25[/tex]
Total money = $7.45
[tex]0.05n +0.10d+0.25q = 7.45\\\Rightarrow 5n +10d+25q = 745 .... (2)[/tex]
The sum of the numbers of nickels and dimes is 3 less than the number of quarters.
i.e.
[tex]n+d=q-3[/tex]
Let us put the value in (1):
[tex]q-3+q=43\\\Rightarrow 2q= 43+3\\\Rightarrow q =23[/tex]
Putting the value of q in (1) and (2):
n+d = 20 .... (3)
[tex]5n+10d+575 =745\\\Rightarrow 5n+10d =170\\\Rightarrow n+2d =34 .... (4)[/tex]
(4) - (3):
d = 14
Now, from (3):
n = 6
Number of nickels = 6
Number of dimes = 14
Number of quarters = 23
A farmer plants corn and soybeans. This model shows the area reserved for each.
A model with 4 rows of 5 squares that represent corn and 4 rows of 3 squares that represent soybeans. Corn is 20 acres and soybeans is 12 acres.
Which expression is equivalent to the sum of the two areas?
4(5)(3)
5(4 + 3)
4(5 + 3)
(4 + 5)(4 + 3)
Answer:
4(5+3)
Step-by-step explanation:
I just did this question and I got it correct trust me ;)
Answer:
4(5 + 3) (C or 3)
Step-by-step explanation:
Edge 2020
Please help. If CJ=8x+5 CT=55, and JT=4x+2 Find JT
Answer:
- 56
Step-by-step explanation:
JT = CJ + CT
4x + 2 = 8x + 5 + 55
4x + 2 = 8x + 60
4x - 8x = 60 - 2
- 4x = 58
x = 58/-4
x = -29/2
x = - 14.5
JT = 4x + 2 = 4(-14.5) + 2 = - 58 + 2 = - 56
Jack bought a car for $29,000. He sold it for $10,000 3 years later. What is the percentage loss that Jack made?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{65.51\% \: }}}}}[/tex]
Step-by-step explanation:
Given,
Cost price of a car ( CP ) = $ 29,000
Selling price of a car ( SP ) = $ 10,000
Since , SP < CP, there is a loss.
Loss % = ?
First, Finding the loss amount
⇒[tex] \boxed{ \sf{loss = cost \: price \: - selling \: price}}[/tex]
⇒[tex] \sf{loss = 29000 - 10000}[/tex]
⇒[tex] \sf{loss = 19000}[/tex]
Loss amount = Rs 19000
Finding the loss %
[tex] \boxed{ \sf{loss \: percent = \frac{loss}{cost \: price} \times 100\%}}[/tex]
⇒[tex] \sf{loss \: \% \: = \frac{19000}{29000} \times 100\%}[/tex]
⇒[tex] \sf{loss \: \% \: = \: 65.51 \: \%}[/tex]
Loss percent = 65.51 %
Hope I helped!
Best regards!!
Combine Like Terms:
10z + 2z - 2
Answer:
the answer is 12z-2
Step-by-step explanation:
hope it help
Answer:
12z-2
Step-by-step explanation:
We are given the expression:
10z+2z-2
and asked to combine like terms.
First, let’s analyze each term.
10z : has the variable “z”
2z : has the variable “z”
-2 : does not have a variable
The like terms in this expression are the 2 terms with the variable “z”. Add the 2 terms, 10z and 2z.
10z + 2z -2
(10z+2z)-2
(10+2)z-2
(12)z -2
(12z)-2
12z-2
The expression 10z+2z-2 when simplified is 12z-2.
Can someone help me please
Answer:
d=126 degrees
z=28 units
y =6x-15
Please help
Answer:
y=15+-6x
Step-by-step explanation:
y = -6x + 15
Reorder the terms:
y = 15 + -6x
Solving
y = 15 + -6x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 15 + -6x
Step-by-step explanation:
[tex]6x - 15 = y \\ 6x = y + 15 \\ \frac{6x}{6} = \frac{y + 15}{6} \\ x = \frac{y + 15}{6} \\ x = \frac{y}{6} + \frac{5}{2} [/tex]
Select the correct answer
Henry used these steps to solve an equation:
Step 1: -3(+ + 2) = 5('* - 7)
Step 2: -3.8 - 6 = 51 - 35
Step 3: -8.3 - 6 = -35
Step 4: - = -29
Step 5: x =
Between which two steps did Henry apply the distributive property?
O
steps 1 and 2
steps 2 and 3
steps 3 and 4
steps 4 and 5
Answer:
Steps 1 and 2
Step-by-step explanation:
Henry applied the distributive property between steps 1 and 2.
The distributive property states that a(b + c) = ab + ac. In step 1, Henry used the distributive property to expand -3(x + 2) and 5(x - 7). This is evident when we rewrite step 1 using the distributive property:
Step 1 (using distributive property):
-3(x + 2) = -3 * x + (-3 * 2) = -3x - 6
5(x - 7) = 5 * x + (5 * -7) = 5x - 35
After applying the distributive property, Henry was able to simplify the equation and move on to step 2. The distributive property is a fundamental property in algebra that helps us expand expressions and make solving equations more manageable. In this case, it allowed Henry to eliminate the parentheses and combine like terms, bringing him closer to solving for the variable x.
Overall, the distributive property played a crucial role in transforming the original equation in step 1 into a simpler form in step 2, enabling Henry to continue solving the equation until he found the value of x in step 5.
To know more about Distributive Property here
https://brainly.com/question/30828647
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Complete Question
Choose the correct answer form the given options :
Select the correct answer
Henry used these steps to solve an equation:
Step 1: -3(x + 2) = 5( x - 7)
Step 2: -3x - 6 = 5x - 35
Step 3: -8x - 6 = -35
Step 4: -8x = -29
Step 5: x = 29/8
Between which two steps did Henry apply the distributive property?
steps 1 and 2
steps 2 and 3
steps 3 and 4
steps 4 and 5
Braden signed up for streaming music service that cost $11 per month the service allows Braden to listen to Unlimited music but if you want to download songs for off-line listening to the service changes one dollar per song how much total money would brave and have to pay this month in which he downloaded 35 songs how much would he have to pay if he download S songs
Answer:
Cost for 35 songs: 1(35)+11=46
Cost for s songs: 1s+11
Step-by-step explanation:
what is the answer to this problem 2.4z+1.2z-6.5=0.7
Answer:
The answer is
2.4z+1.2z=0.7+6.5.
3.6z=7.2.
z=7.2/36.
z=2
What is the value of y when -5 = y-7/9
Answer:
Y= - [tex]\frac{38}{9}[/tex] or -4.222...
Step-by-step explanation:
-5=y-[tex]\frac{7}{9}[/tex]
y=[tex]\frac{7}{9}[/tex]-5
y= [tex]\frac{7}{9} - \frac{45}{9}[/tex]
y = - [tex]\frac{38}{9}[/tex]
y= about -4.222...
Real Numbers:Question 6
Which of the following numbers is closest to
V90
?
Select one:
12
o 10
30
o 45
Answer:
o45
Step-by-step explanation:
Because 45 is the largest number.
What is the solution to this system of equations?
x+y= 7
x = y + 3
A (5,2)
B (4,3)
C (2,5)
D (11/2, 3/2)
Answer:
A. (5,2)
Step-by-step explanation:
If you go to solve the equation you would first try to get y by itself in the first equation and you would do that by subtracting x on both sides. Then you would have y=7-x and then you would plug the second equation in for the x and get the equation y=7-y-3 because you distribute the negative sign of the x to both the y and 3. Then you combine like terms and get y=4-y and then add the y to both sides and get 2y=4 and then divide both sides by 2 and get y=2. Then you plug in y in the first equation and get x+2=7. Then you subtract 2 from both sides and get x=5.
Find the value of x if C is the midpoint of AB and AC = 5x and BC = 10
Answer:
x = 2
Step-by-step explanation:
AC = BC
5x = 10
x = 2
Mark would like to build a rectangle frame. The dimensions of the frame are unknown, but the perimeter of the frame must be 80 yards. The length of the frame is six less than the width. What is the length of the frame?
Answer:
The length of the frame is 17
Step-by-step explanation:
The computation of the length of the frame is shown below:
As we know that
The perimeter of a rectangle is
= 2 (length + width)
where,
let us assume the width be x
So, the length is x - 6
And, the perimeter is 80 yards
So, now put these values to the above formula
80 yards = 2 (x - 6+ x)
80 yards = 2 (2x - 6)
80 yards = 4x - 12
92 = 4x
x = 23
So, the length of the frame is
= 23 - 6
= 17
3 (m- 2) when m = 1.5
Answer:
-1.5
Step-by-step explanation:
1,5-2=-.5
-.5*2=-1.5
3/4, 1/3, 5/8
In order from largest to smallest
Answer:
[See Below]
Step-by-step explanation:
3/4 = 0.75
1/3 = 0.333..
5/8 = 0.625
Largest to Smallest: 3/4, 5/8, 1/3
Ill give 40 points to brainliest (in each word problem write the independent and dependent variable) A.You work part time at a grocery store and are saving money for a car. You already have $200 saved and you earn $12 per hour.B.You are driving on a road trip with your friends. You have 12 gallons of gas in your car and you use 0.10 gallons each mile you drive.C.You got a 60 on your test. You test grade will improve 2 points with each extra credit assignment you turn in.
Part A
independent variable = number of hoursdependent variable = total amount savedThe equation would be y = 12x+200 where x is the number of hours and y is the amount saved. The 200 is what you already have, and then you add on 12x additional dollars.
==============================================
Part B
independent variable = number of miles you drivedependent variable = amount of gas in the carequation would be y = -0.10x+12. You start off with 12 gallons and each time you use up 0.10 gallons of gas for each mile you drive, so in total you use up 0.10x gallons
==============================================
Part C
independent variable = number of extra credit assignments turned independent variable = test gradeEquation is y = 2x+60. You add on 2x additional points to the 60 you already have
==============================================
Part D
independent variable = number of text messages sentdependent variable = total monthly billx is the number of messages and y is the total monthly bill, so the equation would be y = 0.25x + 35
==============================================
Part E
independent variable = number of cookies eaten per daydependent variable = total caloric intake per dayeating x cookies, at 120 calories a piece, means y = 120x is the total number of calories you consume per day. This is just considering the cookies of course and not other meals.
==============================================
In each case, the independent variable is the variable that is allowed to change and you know this value (or are given it). For instance, you know how many miles you drive and it varies. The dependent variable relies on the value chosen for the independent variable. So as x changes, then so does y.
Answers & Step-by-step explanation:
Let's define the two terms that we need to identify:
Independent variable: A variable that you have control over.
Dependent variable: A variable you cannot control and depends on other factors.
Let's solve your problems!
___________________________________________________________
A.Amount saved: dependent variable
Amount earned: independent variable
Explanation:
The amount you can save depends on how much you earn.
___________________________________________________________
B.Amount of gas: dependent variable
Amount you drive: independent variable
Explanation:
The amount of gas you have affects how much you can drive.
___________________________________________________________
C.Test grade: dependent variable
Extra credit you gain: independent variable
Explanation:
Your test grade is dependent on the amount of extra credit you earn.
___________________________________________________________
D.Monthly bill: dependent variable
Number of texts sent: independent variable
Explanation:
The monthly bill is dependent on the number of texts sent.
___________________________________________________________
E.Amount of calories per day: dependent variable
Amount of cookies eaten: independent variable
Explanation:
The number of calories eaten each day is dependent on how many cookies you eat.
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)Multiply. Express your answer in simplest form.
1
5
х
8
6
Answer:
1290
Step-by-step explanation:
15 x 86 = 1290
2. Perform the following operations to find the terms to complete the blanks.
- 1
Part A: (a - 1)(1 + a + a²) =
- 49
Part B: [(x - y) + 7][(x - y) - 7] =
(y2 – 3x)
Part C: -5(3y+ - 4y2 + 7x)(y2 – 3x) =
+ 105x2
= -15y +
Part D: (3m - 2n)3 = (9m2 - 12mn +4n?).
= 27m3 -
+
- 8n3
Answer:
27m3- is the answer equals to 8n 3
This question is confusing. Please help me!
Answer:
x = 18
Step-by-step explanation:
Given:
a = 2x +3b = 4x - 7Finding x for which 3b = 5a:
3b = 5a3(4x - 7) = 5(2x + 3)12x - 21 = 10x + 1512x - 10x = 15 + 212x = 36x = 36/2x = 18Answer:
x = 18
Step-by-step explanation:
Plug in 4x-7 for b and 2x+3 for a in 3b = 5a
3(4x-7) = 5(2x +3)
Solve for x:
12x-21 = 10x+15
2x = 36
x=18
What is the vertex of the graph of f(x) = |x-3| + 11?
Answer:
(3,11)
Step-by-step explanation:
we find the vertex of
[tex]g(x)=|x-3|[/tex] which is going to be (x,0)
and we add 11 (movement upward) so the vertex is (x,11)
vertex of g(x)
it is going to be when g(x)=0
and that only happens when x=3
so vertex (3,0)
so vertex of f(x)
(3,11)
if you don't believe i leave you the graph
Jessica wants to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days. Determine a reasonable domain and range for this situation.
Answer:
i believe it should be E
Step-by-step explanation:
domain is x
range is y
since x is the number of days (0-30) the domain would be [0,30]
for y since she is decreasing 40 every two days that would be 15 days x 40 calories which is 600 (on 30th day)
subtract 600 from 2500 = 1900
so the range would be [1900,2500]
Which BEST describes a ray?
A) Arrow at both ends.
B) Endpoint at both ends.
C) No endpoint or arrow on the ends.
D) Endpoint at one end and an arrow at the other end.
Answer:
D: an endpoint at one end and an arrow on the other or answer hope this helped,
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A line segment has an endpoint at both ends. A has arrows at both ends.A ray has a endpoint at one end and an arrow at the other.
HELP ASAP!!
What is the slope of the line x = 4?
Answer:
no slope
Step-by-step explanation:
4z-5<3;2 Im confused
Answer:
z < 2
Step-by-step explanation:
4z - 5 < 3
4z < 8
z < 2
For 9-10, use the graph below.
9. What is the length of AB? Explain your reasoning.
10. What is the midpoint of CD? Justify your answer.
Answer:
Step-by-step explanation:
A = (5,-5)
B = (-1,-5)
AB = (5 - - 1) + (-5 - - 5)
AB = 6
=================
Mid Point CD
C = - 3,4
D = 6,3
Midpoint = (-3 + 6)/2 , (4+3)/2
Midpoint = 3/2, 7/2
Midpoint = 1.5, 3.5
A factory produces 42,000 computer monitors per day. The manager of the factory claims that fewer than 660 defective computer monitors are produced each day. In a random sample of 240 computer monitors, there are 2 defective computer monitors. Determine whether the manager's claim is likely to be true. Explain.
Answer:
The manager's claim is likely to be true.Step-by-step explanation:
We are given that the factory produces 42,000 computer monitors per day
And the claim is of this amount produces fewer than 660 are defective.
a random sample shows that of 240 monitors 2 are defective
to verify the factory managers claim we need to know how many 240s are there in 42000
=42000/240= 175
Since each 240 will give 2 defective monitors
175 will give= 175*2= 350
350 is less than 660 hence the managers claim is correct