Answer:
x=6
Step-by-step explanation:
im smart this is the answer i swear to ahead and try it yw
Answer:
x = 6
Step-by-step explanation:
To solve an equation for the value of a variable, undo the operations that are performed on that variable. The Order of Operations tells you the order they are performed. The operations can be undone in the reverse order by making use of inverse operations.
__
Here, x is multiplied by 4 and -8 is added to the product. The opposite of -8 is +8, so we can add that to both sides of the equation to "undo" the addition.
4x -8 = 16 . . . . given
4x -8 +8 = 16 +8 . . . . add the opposite of the constant
4x = 24 . . . . . . . . . . simplify
To undo the multiplication, we multiply by the "multiplicative inverse" or "reciprocal" of the coefficient of x. Again, we do this to both sides of the equation.
(1/4)(4x) = (1/4)(24) . . . . multiply by inverse of 4
x = 6 . . . . . . simplify . . . . this is the value of x you are looking for
_____
Additional comment
This is called a "2-step" linear equation. The two steps are ...
isolate the variable term by adding the opposite of the constanteliminate the variable coefficient by multiplying by its inverseNote that multiplying by 1/4 is the same as dividing by 4. Adding the opposite of a number is the same as subtracting the number.
The properties of equality tell you that you can do anything you like to an equation, as long as you do the same thing to both sides of the equation. When solving equations, this is the one rule that you must never violate.
Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.
1, 3, 6, 10, 15, …
My answer below:
3 + 1 = 4
3 - 6 = -3
so, I get neither?
Sequence: 1, 3, 6, 10, 15, …
If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]
If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]
Check for arithmetic:
[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]
[tex]\sf \rightarrow 3 =3.5[/tex] Hence, the sequence is not arithmetic
Check for geometric:
[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]
[tex]\sf \rightarrow 3 = \sqrt{6}[/tex] Hence, the sequence is not geometric
Solution:
Neither[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]
[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex][tex] \textsf{and} [/tex]
[tex] \textsf{If the ratio of successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex][tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]
Hope it helps ~
Maya just turned 14 years old. Her parents started saving $350 each month for her college.
education when she was born. Her parents want to make sure there will be enough money in
her account by the time she turns 18 to cover tuition and expenses at an in-state, four-year
college. How much will Maya's parents need to raise their monthly contribution for the next 4
years if they want to save at least $80,000?
Answer:
$91.66
Step-by-step explanation:
We need to calculate how much they've saved so far. So we multiply 12 * 14 to get 168 months (14 years). Then we can multiply 350 by 168 to get $58,800.
We then subtract 58,800 from 80,000 to get 21,200 left to cover over 4 years. In 4 years, there are 48 months so we just divide 21,200 by 48 to get 441.66.
Subtract 350 from 441.66 to get 91.66.
We can check this by doing (350*168) + (441.66 * 48).
Hope this helps,
As always, correct me if I'm wrong
Answer:
Given :-
Money saved by her parents each month = $350
Time = 14 years = 14 × 12 = 168 months
To find :-
How much money ger parents have to save in next 4 years to achieve the goal of $80,000
Total money saved in 14 years = 350 × 168 = $58,800
Total money left to achieve goal = 80,000 - 58,800
= $21,200
Money they have saved next 4 years in each month to achieve the goal
[tex] = \frac{21200}{4 \times 12} \\ = \frac{21200}{48} \\ = 441.69 [/tex]
They need $441.69 each month to complete $80,000 for her college.
Complete the equation of this circle:
A
1
[ ]=z([_]_^)+z([ ¿ ] − x)
Enter ⚠️NEED HELP ASAP WILL GIVE BRAINLIEST⚠️
Answer:
(x - 3)^2 + (y - 2)^2 = 4^2
Step-by-step explanation:
Looking at the graph its obviously a circle as it said.
We have to find (h,k) and the radius of that circle.
(h, k) = (3,2)
Origin to the edge of the A.
radius = 4
(x - 3)^2 + (y - 2)^2 = 4^2
Please help (7th grade math)
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)
The scatter plot shows the association between the ordered pairs
The two ordered pairs that can be joined to best draw the line of best fit for this scatter plot are (0, 13) and (10, 0)
How to determine the two best ordered pairs?To draw the line of best fit, the line must pass through at least two points such that the number of points on either sides of the line must be equal
See attachment for illustration
From the attached image of the graph, we can see that the line passes through the points (0, 13) and (10, 0), and there are 4 points on either sides
Hence, the two ordered pairs are (0, 13) and (10, 0)
Read more about scatter plots at:
https://brainly.com/question/2820882
Answer: (0,13) and (10,0)
Step-by-step explanation:
I took the test on flvs.net
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer: 16
Step-by-step explanation:
Write the ratio as a fraction in simple form, with whole number in the numerator and denominator 2. 7 hr to 7. 2 hr
Answer:
3/8
Step-by-step explanation:
A ratio is expressed in lowest terms by removing common factors from numerator and denominator.
[tex]\dfrac{2.7\text{ hr}}{7.2\text{ hr}}=\dfrac{3\cdot0.9\text{ hr}}{8\cdot0.9\text{ hr}}=\boxed{\dfrac{3}{8}}[/tex]
If TR = 11 ft, find the length of PS. Round to the nearest hundredth.
P
T
R
16°
S
arc PS =
ft
The length of arc PS from the information given in the task content is; 31.5 ft.
What is the length of the arc PS?It follows from the task content that;
Point T is the center of the circle and line TR is the radius of the circle.Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.On this note, the length of arc PS is;
arc PS = (164/360) × 2 × 3.14 × 11.
arc PS = 31.5ft.
Read more on length of an arc;
https://brainly.com/question/2005046
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Choose the function whose graph is given below.
What is the product of 17 and 41
Answer:
697
Step-by-step explanation:
A product is an answer to a multiplication question
Help Me (I am doing this on paper)
I need help this question says solve for x. Round to the nearest tenth, if necessary
Answer: 49.8
Step-by-step explanation:
you purchase a used car for 5000 and discover that it decreases 10% per year write an equation that represents this situation
Answer:
See below
Step-by-step explanation:
Decreasing 10% means the car retains 90 % of its value
Value of car = 5000 ( .90)^x where x = number of years
Julia's family wants to save for her four-year college education. After some research, they
estimate that the total cost for a state school will be about $72,000. They have saved $50,000
so far, and Julia is 14 years old. If her family saves $250 a month for the next 4 years, how much
money will Julia need in financial aid to pay for her education?
Answer:
She will need $10000 in financial aid
Step-by-step explanation:
Step 1: Determine the money in 4 yeras
$250 a month * (4 years * 12 months per year)
$250 a month * (48 months)
$12000
Step 2: Determine the total amount
$50000 + $12000
$62000
Step 3: Determine the difference
$72000 - $62000
$10000
Answer: She will need $10000 in financial aid
Answer:
She will need $10000 in financial aid
Step-by-step explanation:
Step 1: Determine the money in 4 yeras
$250 a month * (4 years * 12 months per year)
$250 a month * (48 months)
$12000
Step 2: Determine the total amount$50000 + $12000
$62000
Step 3: Determine the difference
$72000 - $62000
$10000
Answer: She will need $10000 in financial aid
What expression represents the volume of the cone, in cubic units? two-thirdsπx3 four-thirdsπx2 2πx3 4πx3
The expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.
Volume of coneThe volume of a cone is given by the following formula presented below;
V = ¹/₃πr²h
where;
V is volume of the coner is radius of the coneh is height of the coneThe volume of a cone can be determined by multiplying the square of the radius and height of the cone.
Thus, the expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.
Learn more about volume of cone here: https://brainly.com/question/20099462
Answer:
[tex]\frac{2}{3}[/tex] π x³
Step-by-step explanation:
PLEASE HELP!!
The rodriguez and peralta families went to the local pizzeria for supper. The items purchased and the total cost of the purchases are shown in the table below. Find the cost per pizza and drink.
The cost of each pizza is $12.50 while the cost of each drink is $1.99.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the cost of each pizza and y the cost of each drink. Hence:
3x + 5y = 47.45 (1)
Also:
4x + 8y = 65.92 (2)
From both equations:
x = 12.5, y = 1.99
The cost of each pizza is $12.50 while the cost of each drink is $1.99.
Find out more on equation at: https://brainly.com/question/2972832
Find the length of the unknown side using the Pythagoras theorem
SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
Step-by-step explanation:
12
Answer:
a) 12
b) 11
c) 8
Step-by-step explanation:
Using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex]
a is the shorter side,
b is the longer side,
c is the hypotenuse.
a) [tex]a^2 + b^2 = c^2\\5^2+b^2=13^2\\25+b^2=169^2\\b^2=169-25\\b^2=144\\b=\sqrt{144}=12\\ b=12[/tex]
b)[tex]a^2 + b^2 = c^2\\a^2+60^2=61^2\\a^2+3600=3721\\a^2=3721-3600\\a^2=121\\a=\sqrt{121}=11\\ a=11[/tex]
c)[tex]a^2 + b^2 = c^2\\a^2+15^2=17^2\\a^2+225=289\\a^2=289-225\\a^2=64\\a=\sqrt{64}=11\\ a=8[/tex]
The number of water bottles used during a team's football practice varies directly with the temperature. If a team
uses 75 bottles when the temperature is 60°, what is the temperature if they use 120 bottles?
Answer:
96 degress letter G
Step-by-step explanation:
What is value of 22y-6
260
Step-by-step explanation:
11y + 6 =139
-6
11y. = 133
÷11
y. = 133/11
22y - 6
22 x 133/11 - 6
=260
Hope this helps!
Step-by-step explanation:
[tex]11y + 6 = 139 \\ 11y = 133 \\ y = 12.0909[/tex]
so,
[tex]22y - 6 \\ 22(12.1) - 6 \\ = 260[/tex]
4 Suki watches a movie and eats a snack afterward. The movie starts at 7:15 PM
and is 1 hours long. Suki finishes her snack at 9:10 PM. How long does Suki
spend eating a snack?
Show your work.
It’s question 4 btw
25 minutes long
Explanation:Hope this helps!
Ok so we know that the movie starts at 7:15 PM. The duration of the movie is 1.5 hours long. She begins eating her snack after the movie which, sense 7:15 plus 1.5 hours is 8:45, is 8:45. She finishes her snack at 9:10. What is the difference between 9:10 and 8:45?
For me, the easiest thing to do we would be to add a half hour (30 minutes) to the 8:45. This gets 9:15. Since 9:15 is past 9:10, I subtract the difference to get 5 minutes. I then take the 30 minutes I added to the 8:45 and subtract the 5 minutes that it went over to get 25 minutes. This is the easiest way to get the answer in my opinion. Sorry if this could not be of help to you!
Diagram to better understand maybe? (I did the best I could with this lol)
x (the 25 minutes you found once you solved it)
^
7:15 PM ----------------------------- 1.5 hours later----------------------------------- 9:10 PM
^ ^ ^
Time the movie started Movie length When she finished eating
♡ I am so proud of you! You are doing amazing and you are glowing! Keep up the great work and have a good day! ♡For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050
The year the model would most likely be sufficient to make a prediction of the population is 2005.
What year would be sufficient to make a prediction?
The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.
Please find attached the complete question. To learn more about exponential functions, please check: https://brainly.com/question/26331578
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solve the inequality 4p-5<25
Answer:
p<15/2
Step-by-step explanation:
p<(25+5)/4
p<30/4
p<15/2
Point A has coordinates (0,4).
Point B has coordinates (1,6).
Point C has coordinates (2,0).
Find an equation of the line that passes through C and is perpendicular to AB.
equation needs to be in the form ax+by= c
a and b need to he integers ASAP PLS HELP
Answer:
x - 6y - 2 = 0
Step-by-step explanation:
Let “m” be the slope of line AB
and “a” be the slope of the line that passes through C and is perpendicular to AB
Then
[tex]m = \frac{6-0}{1-2} =-6[/tex]
The second line is perpendicular to AB
then
m × a = -1
then
-6 × a = -1
then
[tex]a=\frac{1}{6}[/tex]
C(2,0) lies on the line of equation y=ax+b
⇔ C(2,0) lies on the line of equation y=(1/6)x+b
⇔ 0 = (1/6)×2 + b
Then b= -1/3
Therefore Our equation is :
y = (1/6)x - 1/3
⇔ 6y = x - 2
⇔ x - 6y - 2 = 0
8
To rent a car, Jorge spent $415 in rental
fees plus $86 for insurance. He also paid
$2 per day for tolls, plus $5 per day for
roadside assistance. Jorge rented the car
for a total of 12 days.
Based on the expression below, what is
the total amount of money that Jorge
spent? (6.7A | Lesson 5)
1
415 +86 + 12(2 + 5)
somebody pls help me
im not very smart 7u7
Answer:
[tex]1 \2 (7 + 12)6 \\ 1 \2(19)6 \\ 114 \times 1 \2 = 72[/tex]
so therefore area is 72cm²
Solve the system y=-x+7 and y=-.5(x-3)^2+8
The legend on a map states that
1 cm is 20 km. If you measure 9
centimeters on the map, how
many kilometers would the actual
distance be?
Actual distance = [ ? ] km
Answer:
1cm=20km
multiply both sides by 9
you get
9cm=20x9km
9cm=180km
PLLSS HELP ILL GIVE BRAINLIST PLLLLLSSSS
Identify the multiplication problem that matches the model.
3 x 3
3 x
3
5
2 x
3
5
3 x
Please help me I can’t figure it out
Answer:
20
Step-by-step explanation:
To evaluate the expression for a= 3, replace (or 'substitute') every 'a' you see with a '3' in the expression.
Given expression: 32 -4a
When a= 3,
32 -4a
= 32 -4(3)
= 32 -12
= 20
Answer:
20 is the value of expression when a is equal to 3 .Step-by-step explanation:
In the question we're given with an expression that is 32 - 4a , value of a is 3 . And we are asked to evaluate the expression for a = 3 .
Solution : -
[tex] \longmapsto \: 32 - 4a[/tex]
Step 1 : Substituting value of a in given expression :
[tex] \longmapsto \:32 - 4(3)[/tex]
Step 2 : Multiplying 4 with 3 :
[tex] \longmapsto \:32 - 12[/tex]
Step 3 : Subtracting 12 from 32 :
[tex] \longmapsto \: \red{\boxed{ \frak{20}}}[/tex]
Therefore , value of expression for 3 is 20 .#Keep Learning
PLEASE HELP! I WILL GIVE BRAINLIEST! NO LINKS PLEASE!!
Answer:
number of passengers is an independent variable, average speed depends on the number of passengers so its a dependent variable, liters of fuel used depends on average speed so its a dependent variable
Step-by-step explanation:
please help :)))))))))))))
Answer:
C
Step-by-step explanation:
If that is wrong tell me. I am sure it is right tho