Answer:
x < -8/21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](\frac{5}{2} * 3x) + (\frac{5}{2} * 4) < -3x + 6[/tex] [tex]\frac{15}{2}x + 10 < -3x + 6[/tex]Step 2: Add 3x to both sides.
[tex]\frac{15}{2}x + 10 + 3x < -3x + 6 + 3x[/tex] [tex]\frac{21}{2}x + 10 < 6[/tex]Step 3: Subtract 10 from both sides.
[tex]\frac{21}{2}x + 10 - 10 < 6 - 10[/tex] [tex]\frac{21}{2}x < -4[/tex]Step 4: Multiply both sides by 2/21.
[tex]\frac{21}{2}x * \frac{2}{21} < -4 * \frac{2}{21}[/tex] [tex]x < -\frac{8}{21}[/tex]Therefore, the answer is x < -8/21.
Factor the Trinomial 6x^2 -23x +20
(And please show the work/steps.)
Step-by-step explanation:
6x²-23x+20
=>6x²-8x-15x+20
=>2x(3x-4)-5(3x-4)
=>(3x-4)(2x-5)
hope this helps you.
Step-by-step explanation:
the answer is in the image above
brian split 5/6 pounds of candy among 3 people what is the unit rate
Answer:
5/18Step-by-step explanation:
Divide the total by number of people to find the unit rate:
5/6 : 3 = 5/18 pounds per personAnswer:
[tex]\sf\longmapsto \frac{5}{18}pounds \:per\: person [/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: \frac{5}{6} : 3[/tex]
[tex]\sf\longmapsto \frac{5}{18} pounds \:per\: person [/tex]
how do you find common multiples and factors explain
Answer:
We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...
Your bedroom is 20 feet long by 12 feet wide. You are make a scale drawing of you bedroom with the scale 1⁄2 inch = 4 feet, what would the dimensions be?
Divide actual feet by scaled feet then multiply by scale inches:
20 feet / 4 = 5
5 x 1/2 = 2 1/2
12 feet / 4 = 3
3 x 1/2 = 1 1/2
Dimensions are 2 1/2 inches by 1 1/2 inches
Mike´s fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?
Answer:
10 months
Step-by-step explanation:
30x=22x+80
8x=80
x=10
Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft
Step-by-step explanation:
The area = base × height
= 12 × 17 = 204
the perimeter = 2(17 + 15) = 2 × 32 = 64
please give me a brainliest answer
WILL GIVE BRAINLIEST. a. determine a rule for the table B. complete the table. for input for 4 and n.
Answer:
WHAT TYPE OF MATH LIKE WHAT LESSON
Step-by-step explanation:
I need help with my math, please?
Answer:
Step-by-step explanation:
In each triangle below, name the type of line segment that CD is.
Is each number correctly expressed in scientific notation? Choose Yes or No.
Number Scientific Notation
4,836,000,000 4.836 × 106
Choose...
0.0000005812 5.812 × 10–7
Choose...
546,000,000,000 5.46 × 1011
Choose...
Answer:
NoYesYesStep-by-step explanation:
The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be [tex]4.836*10^9[/tex]
Can someone help me with this?!
Answer:
1) measure angle T= 72, measure angle U=54
2)measure angle M=76, measure angle N=76
3)EF= 18 inches, measure angle F=134
4)measure angle P,Q,R= 60
Step-by-step explanation:
4. Isoke's salary in 2015 is $30 000 per year. Every year her salary
is increased by 5%.
In 2016 her salary will be
30 000 x 1.05 = $31 500
In 2017 her salary will be 30 000 x 1.05 X 1.05 = $33075
In 2018 her salary will be 30 000 x 1.05 x 1.05 x 1.05 = $34728.75
And so on.
a). What will her salary be in 2019?
b) What will her salary be in 2021?
Answer:
in 2019, $36 465.19
in 2021, $40 202.87
Step-by-step explanation:
2015 is $30 000 per year
if it is increased by 5% every year
then,
in 2019, her salary will be $30 000 x (1.05)^4 = $36 465.19
in 2021, her salary will be $30 000 x (1.05)^6 = $40 202.87
I forgot how to do this. Please help!
Answer:
It's just a line with a slope of 0 at y= -5
expand and simplify (3x-1)(x-3)
Following are simplifications to the given expression:
Given:
[tex]\bold{(3x-1)(x-3)}[/tex]
To find:
simplify=?
Solution:
[tex]\to \bold{(3x-1)(x-3)}\\\\\to \bold{(3x^2-9x-x+3)}\\\\\to \bold{(3x^2-10x+3)}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{3x^2-10+3}[/tex]".
Learn more:
brainly.com/question/1661958
Write an equivalent expression for 6(3g + 2) - 2g. Simplify the expression.
Answer:
16g + 12
Step-by-step explanation:
6(3g + 2) - 2g
18g + 12 - 2g
16g + 12
which is the correct simplification:
giving brainliest
Answer:
The answer is letter E.........
Answer:
Step-by-step explanation:
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
y = 0.6x
y=23x
y=14x
y=34x
First-quadrant graph showing a ray from the origin through the points begin ordered pair 4 comma 2 end ordered pair and begin ordered pair 8 comma 4 end ordered pair.
Answer:
y = 0.6x
Step-by-step explanation:
Look what happens as we move from point (4, 2) to point (8, 4). The x coordinate increases by 4 and the y coordinate by 2. Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.
The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).
Answer: 0.6
2/3
3/4
I took the test and got those as my answer. Btw here's the image for proof :)
Correct=Brainlest Evaluate (-4-0.7-1)÷-4 Convert into a decimal
Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425
Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).
How do you solve fractions step by step?
Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10
a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
0.7/1 = 7/10
Note: 7/10 is called a decimal fraction.
c) Simplify and reduce the fraction
7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1
Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus four minus seven tenths = minus forty-seven tenths.
Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.
Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.
Solve the following quadratic equation.
d²-5d+6=0
Answer:
[tex]d=2[/tex] and [tex]d=3[/tex]
Step-by-step explanation:
[tex]d^2-5d+6=0[/tex]
[tex](d-2)(d-3)=0[/tex]
[tex]d=2[/tex] and [tex]d=3[/tex]
please help me .. thank you
Hello BinibiningDel!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Fill in the blanks.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
The process of finding the factors of a polynomial is known as factoring.The factor that appears repeatedly in each term is known as the common factor.A trinomial is an algebraic expression with three terms.The constant term is definite in value.6mn - 9m = 3m (2n - 3). The greatest common factor is 3m.A polynomial doesn't have a fractional exponent.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a polynomial.A rational algebraic expression comes in the form of p/q where p & q are polynomials.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a rational algebraic expression.[tex]\boxed{\bold{\dfrac{3x}{x+4}}}[/tex] is the rational algebraic expression written in the simplest form.__________________
Hope it'll help you!
ℓu¢αzz ッ
At a movie theater, there were 7 kids
for every 2 adults. If kids tickets cost $5
and adult tickets cost $8, how much
money did the theater make if there
were 54 people in the theater?
Answer:
$306
Step-by-step explanation:
Adult cost = no of adult × adult cost
no of adult = 12
adult tickets cost = $8
= 12 x $8
= $96
kids cost = no of kids x kids tickets cost
no of kids = 42
kids tickets cost = $5
= 42 x $5
= $210
total sales for the theatre =$96 +$210
= $306
Find f(x) if it is known that f(x-2)=2x-4
Answer:
f=2
Step-by-step explanation:
f(x-2)=2x-4
divide x-2 to 2x-4
f=2
f(2-2)=4-4
In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards, how far apart were the ball carrier and defender when they started? Answer with appropriate precision. (Hint: Use the Pythagorean Theorem.)
Answer:
Step-by-step explanation:
The ball carrier and defender were 20.62 ft apart
Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.
x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.
From Pythagoras' theorem,
x² + L² = y²
So, L² = y² - x²
L = √(y² - x²)
Since x = 40 yards and y = 45 yards,
#substituting the values of the variables into the equation, we have
L = √(y² - x²)
L = √(45² - 40²)
L = √(2025 - 1600)
L = √425
L = 20.62 ft
So, the ball carrier and defender were 20.62 ft apart
Learn more about Pythagoras' theorem here:
https://brainly.com/question/23713139
What is..Simplify 15.8
Answer:
simplify of 15.8 is 16
Step-by-step explanation:
please mark me as brainliest
Answer:
15 4/5
Step-by-step explanation:
this is just so dum why do they make the app if nobody is going to help me and other some people have to post the same question 5 times even more if they have their people in need that need help and they come on brainly so they can get help even I do but yall dont care yall answer that yall want to answer thats not fair
What question do you need help with
Vickie was born on this day in 1981. Including leap years, how many seconds old is Vickie?
Answer:
Vickie is about 1,256,428,800 seconds old.
Step-by-step explanation:
1 year = about 31,536,000 seconds
2021 - 1981 = 40
39 × 31,536,000 = 1,229,904,000 (total 365-day years in seconds discluding this year)
____________________________________________
Now, add the leap days.
Since 1981, there has been 10 leap years, meaning 10 leap days.
1 leap day = about 86,400 seconds
86,400 × 10 = 864,000 (total leap day seconds)
____________________________________________
Today is 10/24/2021, so it is the 297th day of the year.
1 day = exactly 86,400 seconds
297 × 86,400 = 25,660,800 (total seconds this year)
____________________________________________
Add all values to get the total amount of seconds.
1,229,904,000 + 864,000 + 25,660,800 = 1,256,428,800 (total seconds of how old is Vickie)
Let f(x) = 3x + 7.
Find f '(x).
The inverse of f(x) is when you switch the position of the x's and y's (or f(x))
x=3y+7, and then isolate the y so you get a normal function
(x-7)/3
corrine has 9.6 pounds of trail mix to divide into 12 bags. how many pounds of trail mix will go in each?
Answer:
0.8 pounds
Step-by-step explanation:
Divide 9.6 pounds by 12 bags = 0.8 pound per bag
Answer:
0.8 lbs per bag
Step-by-step explanation:
9.6 / 12 = 0.8
Answer: 0.8
Can the sides of a triangle have lengths 3, 3, and 9?
Answer:
No, the sum of the lengths of ANY 2 sides must be greater than the lengths of this 3rd side.
Step-by-step explanation:
Solve this equation. 3(x−9)>3x+6
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the inequality true.