Answer:
x = 1Step-by-step explanation:
[tex]-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1[/tex]
Chose the substitution method to solve the system of equations choose the correct ordered pair 3x-y=7 2x-2y2
Answer:
(3, 2)
Step-by-step explanation:
3x-y=7
2x-2y=2
------------
y=3x-7
substitute this equation to 2x-2y=2
first, simplify 2x-2y=2 into x-y=1.
-----------------------------------------------------
x-(3x-7)=1
x-3x+7=1
-2x+7=1
-2x=1-7
-2x=-6
x=-6/-2=3
y=3(3)-7=9-7=2
Answer: x=3, y=2.
Which two points on the number line represent numbers that can be combined to make zero? C
Answer:
The are infinite
Step-by-step explanation:
some are 1,-1
2,-2
3,-3
10000,-10000
Answer:
It’s a
Step-by-step explanation:
David drove 135 miles in 3 hours find the unit rate
Answer:
45 mph
The drawing will help
Answer: 45 miles per hour
Step-by-step explanation:
3 hours = 135 miles
divide both sides by 3
1 hour = 45 miles as you can write this as 45 miles per hour
Of the following equations below, which equation represents a direct variation between x and y?
Select one:
A. 2y = 3x −7
B. y −4 = x +6
C. y +3 = x +3
D. 4y +1 = 4x−1
Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. [tex]2y = 3x-7[/tex]
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. [tex]y-4 = x+6[/tex]
Solving above expression we get;
[tex]y-4 = x+6\\y = x+6+4\\y=x+10[/tex]
From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. [tex]y+3 = x+3[/tex]
Solving above expression we get;
[tex]y+3 = x+3\\y = x+3-3\\y=x[/tex]
From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. [tex]4y+1 = 4x-1[/tex]
Solving above expression we get;
[tex]4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2[/tex]
From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C. [tex]y+3 = x+3[/tex]
Perpendicular to 3x-6y=-2 containing points (-3,-8)
Answer:
y = -2x - 14Step-by-step explanation:
[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m\ -\ \text{slope}\\b\ -\ \text{y-intercept}[/tex]
[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]
[tex]\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope intercept from:}\\\\3x-6y=-2\qquad\text{subtract }\ 3x\ \text{from both sides}\\\\-6y=-3x-2\qquad\text{divide both sides by (-6)}\\\\y=\dfrac{-3}{-6}x+\dfrac{-2}{-6}\\\\y=\dfrac{1}{2}x+\dfrac{1}{3}\to m_1=\dfrac{1}{2}[/tex]
[tex]\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-1\cdot\dfrac{2}{1}=-2.\\\\\text{Put the value of a slope and the coordinates of the point (-3, -8)}\\\text{ to the equation of a line:}\\\\-8=-2(-3)+b\\\\-8=6+b\qquad\text{subtract 6 from both sides}\\\\-14=b\to b=-14\\\\\text{Finally:}\\\\y=-2x-14[/tex]
Caleb paid $26.70, including a 7% sales tax, for a security wallet. How much did the wallet itself cost?
Answer:
24.36
Step-by-step explanation:
26.7 / 1.07 = 24.36
P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7
What does n=
Answer:
[tex]n = 3[/tex]
Step-by-step explanation:
Given:
The equation given is:
[tex]p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7[/tex]
We simplify the given equation using the following law of indices:
[tex]a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}[/tex]
Therefore,
[tex]p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5[/tex]
Since the base on both the sides is same, therefore, their exponents must also be same. This gives,
[tex]n+2=5\\n=5-2\\n=3[/tex]
Therefore, the value of 'n' is 3.
Use addition to solve the linear system of equations y=2x-5 3x+3=y
Answer:
(-8, -21)
Step-by-step explanation:
y=2x-5
3x+3=y
------------
2x-5=3x+3
2x-3x-5=3
-x-5=3
-x=3+5
-x=8
x=-8
y=2(-8)-5=-16-5=-21
Answer: x=-8, y=-21.
it is 6.09 pm the movie starts at 6:30 pm. while standing in the line for the movie, you count 146 people in front of you. nine people buy their tickets in 70 seconds. will you be able to buy your ticket before the movie starts?
Step-by-step explanation:
It is given that [tex]9[/tex] people bought tickets in [tex]70[/tex] seconds.
So,[tex]\frac{9}{70}[/tex] people can buy tickets in a second.
It is given that the current time is [tex]6:09pm[/tex] and movie starts at [tex]6:30pm[/tex].
So there is [tex]30-9=21minutes[/tex] until movie starts.
In [tex]21[/tex] minutes,the number of persons that can buy tickets are [tex]\frac{9}{70}\times 21\times 60=162[/tex].
So,[tex]162[/tex] people can buy tickets in [tex]21[/tex] minutes.
Since there are only [tex]146[/tex] people in front of you,you can buy a ticket.
Avery bought 5 packs of pencils there were eight pencils in each back if every team line pencils to her friends how many pencils does Avery have left
Answer:
31
Step-by-step explanation:
Avery has 31 left
5 x 8 = 40
40 - 9 = 31
therefore avery has 31 pencils left
Find the quotient of 2 ÷ 3/ 8. The quotient is 5 and ______
Answer:
1/3
Step-by-step explanation:
2 ÷ 3 /8
To divide by a fraction, multiply by its reciprocal.
2 ( 8 /3 )
Multiply
2
(
8
3
)
.
Tap for more steps...
16
3
The result can be shown in multiple forms.
Exact Form:
16
3
Decimal Form:
5.
¯
3
Mixed Number Form:
5
1 /3
5 is the quotient and 1 is a reminder.
What is the quotient?the result obtained by dividing two numbers is known as the quotient.
dividend / divisor = quotient + reminder
Given problem 2 ÷ 3/8. after simplifying it.
2 ÷ 3/8 = 16 ÷ 3
2 ÷ 3/8 = 5 + 1/3
Therefore the given problem quotient is 5 and the remainder is 1.
Learn more about quotient here:
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Determine the intercepts of the line.
y=-3x+12y=−3x+12
Answer:
x-intercept=4 and y-intercept = 12
Step-by-step explanation:
To find the x-intercept, make the y=0:
0 = -3x+12
3x = 12
x=12/3
x=4
To find the y-intercept, make the x=0:
y = -3(0) +12
y = 0 +12
y = 12
Hope this helps!
Please mark brainliest if you think I helped! Would really appreciate!
Answer:
y=12,0
x=4,0
Step-by-step explanation:
for those who were just as confused as i was <3
Anahita drives for 3 hours at 15 miles per hour. How far does she travel?
Answer:
45 Miles
Step-by-step explanation:
3 hours * 15mph= 45 Miles in 3 hours
Solve the equation : n +32=60
1) n= 1.875
2) n= 28
3) n= 38
4) n= 92
N=28
Step-by-step explanation:
Subtract 32 from both sides
i think my answer also n=28
Deja spends 25% of her monthly salary on her rent. Her rent is $650 a month. What is dejas monthly salary
Answer:
Monthly Salary = $2,600
Step-by-step explanation:
Monthly rent on monthly salary = 25%
Monthly rent = $650.
To determine the monthly sale, we have to use the unitary method.
25% monthly rent on monthly salary means out of $100, Deja spends $25 on her rent.
Therefore,
Deja spends $25 on her rent, when the monthly salary = $100
Deja spends $1 on her rent, when the monthly salary = [tex]\frac{100}{25}[/tex]
Deja spends $650 on her rent, when the monthly salary = [tex]\frac{100*650}{25}[/tex]
= [tex]\frac{65000}{25}[/tex]
= $2,600
Her monthly salary is $2,600.
PLEAASE HELP ASAP!!!!!
language arts!!
1. Decide whether each of the following groups of words is a complete sentence (an independent clause) or an incomplete sentence (a dependent clause). If the sentence is incomplete, capitalize it and do whatever else is necessary to make it complete. If the sentence is complete, capitalize the first word and add the appropriate ending punctuation.
Example: three ships went with Columbus
Three ships went with Columbus.
1.because they found no gold in that country
2. after they went running through
3. he wants to visit the moon
4. the boy who has lots of freckles
5. she turned a page in her book
6. a book that I read
7. before the race began
1. Incomplete/ Because they found no gold in that country...
2. Incomplete/ After, they went running through...
3. Complete/ He wants to visit the Moon.
4. Incomplete/ The boy who has lots of freckles...
5. Incomplete I believe/ She turned a page in her book...
6. Incomplete/ A book that I read...
7. Incomplete/ Before the race began....
Answer:
Incomplete/ Because they found no gold in that country...
2. Incomplete/ After, they went running through...
3. Complete/ He wants to visit the Moon.
4. Incomplete/ The boy who has lots of freckles...
5. Incomplete I believe/ She turned a page in her book...
6. Incomplete/ A book that I read...
7. Incomplete/ Before the race began....
Step-by-step explanation:
4. How much time will it take for a bug to travel 7.5 meters across the floor if it is traveling at 1 m/s?
It will take the bug 7.5s to travel across the floor.
Step-by-step explanation:
Distance = 7.5 meters
Speed = 1 m/s
The formula for speed is
[tex]Speed = \frac{Distance}{Time}\\\\Time = \frac{Distance}{Speed}\\Time=\frac{7.5}{1}\\Time=7.5\ s[/tex]
It will take the bug 7.5s to travel across the floor.
Keywords: distance, speed
Learn more about distance at:
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ANSWER MY QUESTION PLEASE
Here is a linear equation: y = 1/4x + 5/4. Find the x-intercept of the graph of the equation.
Hint: the y-value will be 0 at the x-intercept.
write your answer
To find the x-intercept of the linear equation y = 1/4x + 5/4, substitute y = 0 into the equation and solve for x. The x-intercept is -5.
Explanation:To find the x-intercept of the graph of the equation y = 1/4x + 5/4, we need to set the y-value to 0 and solve for x.
So, by substituting y = 0 into the equation, we get 0 = 1/4x + 5/4.
Now, we can solve for x by isolating x on one side of the equation. Subtracting 5/4 from both sides gives us -5/4 = 1/4x. Multiplying both sides by 4 gives us -5 = x, or x = -5.
Therefore, the x-intercept of the graph is -5.
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Suppose g(x) = f(x-2) + 3. Which statement best compares the graph of g(x)
with the graph of f(x)?
Answer:
The graph of g(x) is f(x) translated 3 units up.
A loan of $46,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $65,000 or more?
After 5.11 years, amount due reach $65,000 or more
Solution:
Given that a loan of $46,000 is made.
Rate of interest charged is 7% compounded annually
Need to determine number of years in which the amount due reach $65,000 or more.
In our case
Amount due A = $65000
Loan Amount that is principal P = $46000
Rate of interest r = 7%
Formula for Amount compounded anually is as follows:
[tex]\mathrm{A}=P\left(1+\frac{r}{100}\right)^{n}[/tex]
Substituting the values in above formula we get
[tex]\begin{array}{l}{65000=46000\left(1+\frac{7}{100}\right)^{n}} \\\\ {\frac{65000}{46000}=\left(\frac{107}{100}\right)^{n}} \\\\ {\Rightarrow 1.4130=(1.07)^{n}}\end{array}[/tex]
Applying log on both sides, we
[tex]\begin{array}{l}{\ln 1.4130=n \ln 1.07} \\\\ {=>\frac{\ln 1.4130}{\ln 1.07}=\mathrm{n}} \\\\ {=>\mathrm{n}=\frac{0.34571}{0.067658}=5.1096=5.11}\end{array}[/tex]
Hence after 5.11 years , amount due reach $65,000 or more
The difference of 2 times a number and 3/4 is 1/2. Determine the number
Answer:
5/8
Step-by-step explanation:
if I understand correctly the problem is
(2*X)-(3/4)=1/2
to solve for x we need to isolate it, the first step in doing so is getting rid of the 3/4
2*X-3/4+3/4=1/2+3/4
simplify
2*X=1 1/4
the next step is getting rid of the 2
(2*X)/2=(1 1/4)/2
simplify
X=5/8
help me plssss last one i need
Answer: y=2x-20
Step-by-step explanation:
y+18=2(x-1)
y+18=2x-2
y=2x-20
Write an inequality for the graph.
Answer:
x ≤ 3
This is because it is a closed circle.
what value is equivalent to -2 x 3² - 8 ÷ 2 + 6?
Answer:
−18x+2
Step-by-step explanation:
x|x integars between 4 & 8 lost the elements in the set
Answer:
The set of integer between 4 and 8 = { 5, 6, 7 }.
Step-by-step explanation:
Set:
A set is a well-defined collection of distinct objects, elements encloses in curly bracket.
For example.
set of vowels = { a, e, i, o, u }
set of any three Capital alphabets = { A, B ,Z }
set of cars = { Ferrari, Volvo, Mercedes, Audi }
Now we want set of integer between 4 and 8
Integer: All the positive and negative natural numbers are called integers.
-1, -2, -3, 1, 2, 3, 4, 5, 6 ,7 , 8 ..
The set of integer between 4 and 8 = { 5, 6, 7 }.
A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown on the right, making the one day sale price of the ski set $328. Find the original selling price of the ski set.
The original selling price of the ski set is $585.71.
Explanation:Step 1: Determine the final sale price after the first markdown
The one-day sale price of the ski set is $328, and the first markdown is 20%. To find the final sale price after the first markdown, we can set up the equation:
0.80 × Original Price = $328
Solving for the original price, we get:
Original Price = $328 / 0.80 = $410
Therefore, the final sale price after the first markdown is $410.
Step 2: Determine the original selling price
The final sale price after the first markdown is $410, and the second markdown is 30%. To find the original selling price, we can set up the equation:
0.70 × Original Price = $410
Solving for the original price, we get:
Original Price = $410 / 0.70 = $585.71
Therefore, the original selling price of the ski set is $585.71.
11 identical pairs of Air Jordan cost $660.What is the cost of one pair?
Answer:
$60
Step-by-step explanation:
11 identical pairs of Air Jordan cost $660.
To find the cost of one pair, you have simply to divide the total amount paid by the total number of pairs.
Total amount paid = $660
Total number of pairs = 11
The cost of one pair [tex]=\$660 : 11=\$60[/tex]
To find the cost of one pair of Air Jordan sneakers from the total cost of 11 pairs, divide the total cost ($660) by the number of pairs (11), which equals $60 per pair.
Explanation:The question concerns determining the cost of one pair of Air Jordan sneakers given the total cost for 11 pairs. This is a basic division problem that falls under the category of arithmetic in mathematics. To find the cost of one pair, divide the total cost by the number of pairs. Here is how the calculation is done step-by-step:
Determine the total cost of all pairs together, which is given as $660.Count the number of identical pairs, which we know is 11 pairs.Divide the total cost by the number of pairs: $660 ÷ 11 pairs = $60 per pair.Therefore, the cost for one pair of Air Jordan sneakers is $60.
Which of the following is the inequality −18x + 2y ≥ −13 written in slope-intercept form?
Select one:
A. y ≥ - 6.5x - 9
B. y ≥ 7x - 10
C. y ≥ 9x − 6.5
D. y ≥ 10x - 7
Answer:
C. y ≥ 9x − 6.5Step-by-step explanation:
[tex]-18x+2y\geq-13\qquad\text{add}\ 18x\ \text{to both sides}\\\\-18x+18x+2y\geq18x-13\\\\2y\geq18x-13\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}\geq\dfrac{18x}{2}-\dfrac{13}{2}\\\\\boxed{y\geq9x-6.5}[/tex]
How many 6 1/4-inch pieces of fabric can be cut from a 75-inch roll?
Answer:
12 pieces
Step-by-step explanation:
75 divided by 6 1/4= 12 pieces
using elimination method, simultaneously solve, 6x+2y=20 and 0.5x-0.5y=1
Answer:
x=3, y=1. (3, 1)
Step-by-step explanation:
6x+2y=20
0.5x-0.5y=1
-----------------
6x+2y=20
1/2x-1/2y=1
----------------
6x+2y=20
2(1/2x-1/2y)=2(1)
------------------------
6x+2y=20
x-y=2
-------------------
6x+2y=20
x=y+2
---------------
6(y+2)+2y=20
6y+12+2y=20
8y+12=20
8y=20-12
8y=8
y=8/8
y=1
x=1+2=3
x=3, y=1.