Answer:
x = 12.
Step-by-step explanation:
5/2x - 7 = 3/4x + 14.
put the like terms together keeping in mind that when a number crosses the equal sign it changes its sign and it acquires the opposite sign.
5/2x - 3/4x = 14 + 7
7/4x = 21.
divide both sides by the reciprocal of 7/4, the number next to the unknown
so x = 21 ×4/7
x = 12.
please help me out, i'm really bad at math
Answer:
Step-by-step explanation:
3. [tex]\frac{3}{16}=\frac{x}{12}[/tex]
36 = 16x
9 = 4x
x = [tex]\frac{9}{4}[/tex]
4. [tex]\frac{x}{120}=\frac{1}{24}[/tex]
x = [tex]\frac{120}{24}[/tex]
x = 5
5. [tex]\frac{a-2}{9}=\frac{2}{3}[/tex]
3a - 6 = 18
3a = 24
a = 8
6. [tex]\frac{b+4}{5}=\frac{7}{4}[/tex]
4b + 16 = 35
4b = 19
b = [tex]\frac{19}{4}[/tex]
7. [tex]\frac{3}{7}=\frac{c+4}{35}[/tex]
105 = 7c + 28
7c = 105 - 28
7c = 77
c = 11
8. [tex]\frac{2c}{11}=\frac{c-3}{4}[/tex]
8c = 11c - 33
11c - 8c = 33
3c = 33
c = 11
9. [tex]\frac{7}{k-2}=\frac{5}{8}[/tex]
56 = 5k - 10
5k = 66
k = [tex]\frac{66}{5}[/tex]
12. [tex]\frac{c+1}{c-2}=\frac{4}{7}[/tex]
7c + 7 = 4c - 8
7c - 4c = -15
3c = -15
c = -5
13. [tex]\frac{v}{4}= \frac{7}{8}[/tex]
v = [tex]\frac{7}{2}[/tex]
14. [tex]\frac{9}{14}=\frac{3}{n}[/tex]
9n = 42
n = [tex]\frac{42}{9}[/tex]
n = [tex]\frac{14}{3}[/tex]
15. [tex]\frac{b+13}{2}=\frac{-5b}{3}[/tex]
3b +39 = -10b
13b = -39
b = -3
16. [tex]\frac{3b}{b-4}=\frac{3}{7}[/tex]
21b = 3b - 12
21b - 3b = -12
18b = -12
b = -[tex]\frac{12}{18}[/tex]
b = [tex]-\frac{2}{3}[/tex]
17. [tex]\frac{x+2}{2x-6}=\frac{3}{8}[/tex]
8x + 16 = 6x - 18
8x - 6x = -18 - 16
2x = -34
x = -17
Factor completely
4x^2 - 18x - 36
Answer: 2(2x + 3)(x - 6)
Step-by-step explanation: For any factoring problem you do, your first
task will be to determine if a GCF exists for the original polynomial.
If a GCF does exist, it must be factored out as the first step to the problem.
In the problem you see here, the 3 terms in
the original polynomial have a GCF of 2.
So a 2 must be factored out as your first step.
This leaves you with 2(2x² - 9x - 18).
This does not make your life a whole lot easier however
because you still have a coefficient on the x squared term.
Factoring from here, you get 2(2x + 3)(x - 6).
Answer:
2(x - 6)(2x + 3)
Step-by-step explanation:
There are a few steps to factoring depending on the polynomial.
Step 1. Factor our a common factor if possible.
Every term is divisible by 2, so factor out a 2.
4x^2 - 18x - 36 =
= 2(2x^2 - 9x - 18)
Step 2. We need to factor the quadratic trinomial.
Now we have a quadratic trinomial, in which the x^2 term is not plain x^2, but it has a coefficient of 2.
Our polynomial is of the form ax^2 + bx + c, with "a" not equal to 1.
We have 2x^2 - 9x - 18, so we have a = 2, b = -9, c = -18.
We can try guessing, but instead, I will use the "ac" method.
Step A. Multiply coefficients ac:
ac = 2(-18) = -36
Step B. Now we need two numbers that add to b and multiply to ac.
We need two numbers that add to -9 and multiply to -36.
The numbers are -12 and 3 since (-12)(3) = -36, and -12 + 3 = -9.
We now break up the middle term, -9x, using these two numbers.
= 2(2x^2 - 12x + 3x - 18)
Now we factor by grouping. Factor a common factor out of the first two terms, and factor a common factor out of the last two terms.
= 2[2x(x - 6) + 3(x - 6)]
x - 6 is a common factor inside the brackets, so we factor it out inside the brackets.
= 2[(x - 6)(2x + 3)]
= 2(x - 6)(2x + 3)
HELPPPPPPP URGENT AGAIN.!!!! The coordinates of which point are (–3, –6)? point A point B point C point D
Answer:
Point C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What are the coefficients in this expression, 2x+y-3z? Hint, There is 3 coefficient.
Matter is not created or destroyed:
Amy simplifed this complex fraction problem. Negative 2 and one-half divided by five-fourths = Negative five-halves divided by five-fourths = negative five-halves (five-fourths) = negative StartFraction 10 over 8 EndFraction. The quotient is negative five-fourths. What errors did Amy make? Select all that apply.
Answer:
B, C
Step-by-step explanation:
Amy should have flip the numerator and the denominator of the second fraction before multiplying. She also used addition instead of multiplication for the numerators.
Answer:
B C
Step-by-step explanation:
1/2 (6x +4) + 3x - 1 = 3/4 (12 - 8x) solve
Answer:
x = 2/3
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask
If you find this answer helpful, mark it Brainleast ;)
haven't been able to solve nor my tutors please help
Answer:
.5,2.5,1.5,3.0
Step-by-step explanation:
Answer:
.5,2.5,1.5,3.0
Step-by-step explanation:
The total rainfall for two days was 14.6 mm. The first day's total was 4.5 mm less than the second
day's. How much rain fell on each day in cm?
Answer:
first day = 5.05mm = 0.505cm
second day = 9.55mm = 0.955cm
Step-by-step explanation:
Let x represent first day
Let y represent second day
x + y = 14.6
x = y - 4.5
(y - 4.5) + y = 14.6
2y - 4.5 = 14.6
2y = 14.6 + 4.5
2y = 19.1
Divide both sides by coefficient of y which is 2
y = 9.55
Substituting value of y in the equation x + y = 14.6
x + 9.55 = 14.6
x = 14.6 - 9.55
x = 5.05
To convert the values in mm to cm you divide them by 10 since 1cm=10mm
Solve:
-8(x - 3) + 5x < 9(x + 12)
This is Algebra 1
Answer:
The answer is x > -7
Step-by-step explanation:
The starting out equation is:
-8(x - 3) + 5x < 9(x + 12)
Once you've got your equation down, you have to remove the parentheses by doing distributive property, and multiplying the -8 by x and -3, [-8(x-3)] and the 9 by x and 12, [9(x + 12)]
Once you do that, you have something like this:
-8x + 24 + 5x < 9x + 108
Then you have to add like terms. That means adding -8x to the positive 5x, and only that since thats the only possible way.
-3x + 24 < 9x + 108
When that's over, you have to move the variable(in my case, 9x) to the left-hand side and change its sign:
-3x -9x + 24 < 108
You see that instead of positive 9x, like it was, it's now negative 9x since we changed its location.
And now do the same to the constant (in my case, 24) to the right-hand side. make sure to reverse its sign aswell, so now it's a negative 24. Now it looks a bit like this:
-3x -9x < 108 -24
Collect like terms (subtracting -9x by -3x, subtracting 108 by -24)
-12x < 84
Now that we isolated the variable, we have to divide it by -12.
KEEP IN MIND!!
When doing work like this, at some point you have to divide the variable by itself, and same thing to the other side. When the variable is a positive number and you're dividing by a positive number, DONT REVERSE THE GREATER/LESS (whatever you have) SIGN!!
When you are dividing by a negative number,
REVERSE THE SIGN!!
I always forgot this and got it wrong back then!!
Back to the lesson, itll look like this when dividing
-12x < 84
------ ------
-12x -12x
Once you divide it, you'll get this
x > -7
I hope this helped!
For x > 3, values of the function f(x) = –(x – 3)^2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?
A) Both the additive inverse and the multiplicative inverse are positive.
B) Both the additive inverse and the multiplicative inverse are negative.
C) The additive inverse is positive, while the multiplicative inverse is negative.
D) The additive inverse is negative, while the multiplicative inverse is positive.
Answer:
C) The additive inverse is positive, while the multiplicative inverse is negative.
Step-by-step explanation:
The answer is C on Edge. (VERIFIED Edge Answer)
Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.
Edge Tip: Answers do not mix or change.
f(x)=x -1 g(x)=-4x2 + 4 Find (f o g)(x)
Answer:
4x^2 + 3.
Step-by-step explanation:
f o g(x) = f(4x^2 + 4)
= (4x^2 + 4) - 1
= 4x^2 + 3.
The cost of a taxi follows the function C(m) =6+.50m where C is the cost and m is the number of miles. Find the cost for: 10 miles and 20 miles
Answer:
Step-by-step explanation:
c
=
0.6
d
+
1.2
Explanation:
The
3
mile cab ride includes a basic charge as well as the cost for the distance covered.
For a
6
mile trip, the cost is
$
4.80
which means that :
The cost of
3
miles is
$
4.80
−
$
3.00
=
$
1.80
Therefore the cost for
1
mile is
$
1.80
÷
3
=
$
0.60
The basic fee for hiring the cab is
$
3.00
−
$
1.80
=
$
1.20
So the total cost,
c
for a trip of
d
miles will be:
c
=
0.6
d
+
1.2
1. Calculate the simple interest over an amount of N$ 2500 that is invested for 3 years and 6 months at a rate of 7% pa.
Answer:
N$ 612.5
Step by step explaination:
Given,
Principal or'P'=N$2500
Time or'n'=3 years & 6 months or 3.5 years
Rate of profit or 'r'=7% or 7/100
Profit or 'I'=?
_____________________________________
We know,
I=P*n*r
I=2500*3.5*7/100
I=612.5
So,simple interest is N$ 612.5.
Evaluate f(x) = 12 for the function f(x) = 5(x - 3) + 17
Answer:
62
Step-by-step explanation:
12-3=9
5x9=45
45+17=62
Answer:
f(12)= 62
Step-by-step explanation:
Plug 12 into x.
5(12-3)+17
45+17
= 62
Solve each equation 9-4(2x-1)=45
I think it is done like this but I am not sure.
Simplifying
9 + -4(2x + -1) = 45
Reorder the terms:
9 + -4(-1 + 2x) = 45
9 + (-1 * -4 + 2x * -4) = 45
9 + (4 + -8x) = 45
Combine like terms: 9 + 4 = 13
13 + -8x = 45
Solving
13 + -8x = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + -8x = 45 + -13
Combine like terms: 13 + -13 = 0
0 + -8x = 45 + -13
-8x = 45 + -13
Combine like terms: 45 + -13 = 32
-8x = 32
Divide each side by '-8'.
x = -4
Simplifying
x = -4
The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.
We have,
Distribute the -4 to the terms inside the parentheses:
9 - 4(2x - 1) = 45
9 - 8x + 4 = 45
Combine like terms:
13 - 8x = 45
Move the constant term to the other side of the equation by subtracting 13 from both sides:
13 - 8x - 13 = 45 - 13
-8x = 32
Divide both sides of the equation by -8 to isolate the variable:
(-8x) / (-8) = 32 / (-8)
x = -4
Therefore,
The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.
Learn more about equations here:
https://brainly.com/question/3118662
#SPJ6
If B is the midpoint of AC, and AC = 8x-20, find BC
Answer:
AC=-160
BC is the midpoint of AC meaning half of AC
-160/2=-80
what is the value of y in this equation. 3-4y=19
Steps to solve:
3 - 4y = 19
~Subtract 3 to both sides
-4y = 16
~Divide -4 to both sides
y = -4
Best of Luck!
A bakery sells a dozen bagels for $8.50 and a dozen donuts for $3.99. Write an expression for the
cost of buying b dozen bagels and d dozen donuts.
Answer:
Total cost = ($8.50b) + ($3.99d)
Step-by-step explanation:
In a bakery, the cost of a dozen bagels = $8.50
and the cost of a dozen donuts = $3.99
1 Dozen = 12 pieces
Let 'b' represents the number of bagels (in dozen) and d represents dozen donuts.
The expression that represents total cost of b dozen bagels and d dozen donuts would be :
Total cost = ($8.50b) + ($3.99d)
Please answer all of them and give steps.
Answer:
Step-by-step explanation:
1. 12a = 4
12a/12 = 4/12
a = 1/3
2. 2c = 7(8/7)
2c = 8
c = 4
3. 5h = 6(-3/8)
5h = -18/8
5h = -9/4
20h = -9
h = -9/20
4. -27m = -4
m = 4/27
5. -42p = 21
p = -21/24 = -1/2
6. -7x = 4/7
x = -4
7. 9n = -40/9
n = -40
8. 15g = -24
g = -24/15 = -8/5
9. 4s = 56
s = 14
10 -5t = -9(2/3)
-5t = -6
t = 6/5
Which fraction is nearest in value
Answer:
7/22
Step-by-step explanation:
Answer:
it will be B took the test
Step-by-step explanation:
como puedo salir de Brainly
Answer:
push the x on the top left corner of the tab
Step-by-step explanation:
Health officials in Parsnipville are concerned about the recent outbreak of the flu. While scientists are working hard to find a vaccine, the town leaders are turning to you to predict how many people will be sick over time. They hope to find a vaccine in a week. Here are the facts: The epidemic started on Day 0 when Velma and Stanley returned from their exotic jungle vacation with symptoms of the flu. Each day, a sick person infects two additional people. The town of Parsnipville has 3800 citizens.
Answer:
4372 people would have been sick over time.
Step-by-step explanation:
Since the vaccine would be found in a week, then the over time is a week (7 days). Each day, a sick person infects two additional people.
Number of people infected by Velma can be predicted as follows:
Day 1 - 2, Day 2 - 6, Day 3 - 18, Day 4 - 54, Day 5 - 162, Day 6 - 486, Day 7 - 1458
Number of people infected by Velma = 1458 + 486 + 162 + 54 + 18 + 6 + 2
= 2186
Also, number of people infected by Stanley can be predicted as follows:
Day 1 - 2, Day 2 - 6, Day 3 - 18, Day 4 - 54, Day 5 - 162, Day 6 - 486, Day 7 - 1458
Number of people infected by Stanley = 1458 + 486 + 162 + 54 + 18 + 6 + 2
= 2186
Total number of people than can be infected over time = 2186 + 2186
= 4372
Therefore, the predictable number of infected people over time would be 4372. All citizens of Parsnipville would have been infected before the vaccine is available.
Answer:
Step-by-step explanation:
ASSUMING that only 4 new people get sick a day then we would have the equation 4x+2
A water ballon shaped like a sphere is filled with water.The water ballon has a diameter of 3 inches.Which measurement is closest to the volume of water in the water ballon in cubic inches?
A. 14.13 cu. in.
B. 3.53 cu. in.
C. 113.04 cu. in.
D. 3.33 cu. in.
Answer:
the answer is (A) 14.13 cu. in
Step-by-step explanation:
Is A 14.13
explanation divide by to get radius then use the formula 4/3πr to the third
Sammy's bedroom has the dimensions 9 feet by 15 feet. If the ceiling is 11 feet, what is the area of the smallest wall?
Answer:
99
Step-by-step explanation:
11 and 9 are the smallest dimensions. Multiply them and you get 99.
Jackson bought 555 ounces of raisins for \$4$4dollar sign, 4. How much do raisins cost per ounce?
Answer:
$0.80/oz
Step-by-step explanation:
$4 for 5 ounces
unit cost = price/weight = $4/(5 oz.) = $0.80/oz
Answer:
$00.80 and 1.15 ounces
Step-by-step explanation:
khan said so hope this helps
7 < 12 + c < 13
Pls help me show work
Answer:
−5<c<1
Step-by-step explanation:
Let's solve your inequality step-by-step.
7<12+c<13
7<c+12<13(Simplify all parts of the inequality)
7+−12<c+12+−12<13+−12(Add -12 to all parts)
−5<c<1
Answer:
c∈[-5,1]
Step-by-step explanation:
12+c>7
12+c<13
c>-5
c<1
Out of these numbers which ones are multiples of 7 {−7, −4, 2, 14, 21, 34, 42}
Answer:
-7, 14, 21, and 42
Step-by-step explanation:
7•-1=-7
7•2=14
7•3=21
7•6=42
Solve for x: -4 x+5 =-16
Answer:
Step-by-step explanation:
X=5.25
Someone please help! :(
Answer:
See below.
Step-by-step explanation:
Start with triangle ABC with side BC lying on line n.
Draw a line through point A parallel to line n, and call it line m.
Angles 1 and 3 are alternate interior angle of parallel lines and are congruent.
Angle 2 and 4 are alternate interior angles of parallel lines and are congruent.
The sum of the measures of angles angles 1, BAC, and 2 is 180 since they lie on a line.
m<1 + m<BAC + m<2 = 180
Now we substitute in the angles we know are congruent by alternate interior angles (written above).
m<3 + m<BAC + m<4 = 180