[tex]-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18[/tex]
The solution for x in this equation is 18.
Answer:
x = 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3(x + 4) + 5x = 24
Step 2: Solve for x
Distribute -3: -3x - 12 + 5x = 24Combine like terms: 2x - 12 = 24Isolate x term: 2x = 36Isolate x: x = 18Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -3(18 + 4) + 5(18) = 24Add: -3(22) + 5(18) = 24Multiply: -66 + 90 = 24Add: 24 = 24Here we see that 24 does indeed equal 24.
∴ x = 18 is the solution to the equation.
Can someone help me what is the answer
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3+1}{0+1}[/tex] = [tex]\frac{4}{1}[/tex] = 4
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 4x + 3 ← equation of line
An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)
Answer:
The graph will change by simply having an increased slope of 16 instead of 15.
Step-by-step explanation:
For this problem, we will consider the initial case as stated by the problem where the joining fee is $20 and each book is $15. Let x represent the number of books that we have purchased. Then, we can write the following function to represent the cost of this club.
f(x) = 15x + 20
Note, if x = 0, meaning we have no books, then
f(0) = 15(0) + 20
f(0) = 0 + 20
f(0) = 20
Which is the cost of our joining fee. If x = 1, meaning we have 1 book, then
f(1) = 15(1) + 20
f(1) = 15 + 20
f(1) = 35
Which is the cost of our joining fee and 1 book, which matches our graphed function.
Now, let's consider that the cost of the book is $16 instead of $15 ("the cost per audio book goes up by $1.00"). Then we can modify the slope of our function to reflect this change giving us the new function:
g(x) = 16x + 20
In this new function, our slope increased from 15 to 16, to account for the increase in cost, but our initial 20 remained the same.
So the graph will change by simply having an increased slope of 16 instead of 15.
Cheers.
Answer:
The new function will have a steeper slope, so...
Step-by-step explanation:
Le: t x ----> the number of audio books purchased
y ---->the cost of belonging to the club in dollars
case 1 (Originally) :
y = 15x + 20
case 2 ( the cost per audio book goes up by $1.00) :
y= (15+1)x+ 20
y = 16x + 20
The slope of the new function is greater than the slope of the original function
The new function will have a steeper slope:
16 $/ audio book > 15 $/audio book
Yo can somebody please help me with this math problem
Answer:
what is the problem it doesn't show anything
Find the measures of the angles of a triangle of the measure of one angle is three times the measure of a second angle and the third angle measures five times the second angle decreased by 90
Answer:
hii
x=30
Step-by-step explanation:
x+3x+5x-90=180
9x=270
x=30
subtraction property of equality ur welcome x3
Answer:
wut????????
Step-by-step explanation:
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
find the missing measures
Answer:
8 cm and 28 cm
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
(i)
Here A = 48, b = AB and h = DE = 6 , then
AB × 6 = 48 ( divide both sides by 6 )
AB = 8 cm
(ii)
Here A = 252, b = PQ = 9 and h = RT , then
9 × RT = 252 ( divide both sides by 9 )
RT = 28 cm
Can someone help me on this
Answer:
a=3*3*3*3*3=243
b=2*2*2*2=16
c=10*10*10=1000
Step-by-step explanation:
A four-person relay team completed a race in 60.4 seconds. On average, what was each runner's time?
Answer:
Each person did 15.1 seconds.
Step-by-step explanation: Just divide 60.4 seconds by 4 for the number of runners.
if the volume of a cube is 64 cm cube then find its total surface area
Answer:
tsa
Step-by-step explanation:
tsa of cube is 6a²
so
64cm²=6a²
Answer:
96 cm²
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the side length )
Here V = 64 , thus
s³ = 64 ( take the cube root of both sides )
s = [tex]\sqrt[3]{64}[/tex] = 4
A cube has 6 congruent square faces.
The area of 1 face = s² = 4² = 16 cm², thus
area of 6 faces = 6 × 16 = 96 cm² ← surface area
Plsss help I’ll give u brainlest and 10 points
Answer:
b
Step-by-step explanation:
d is your inital amount. Then you spend $7, so you subtract 7. That is greater than or equal to 50.
The Martinez family spent 28% of its monthly income for housing. If the family’s monthly income is $3,200, how much did they spend for housing?
Answer:.
Step-by-step explanation:
Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.
Answer: f(x) = -cos(x) + 4.584
Step-by-step explanation:
we know that f'(x) = sin(x)
if we integrate that, we get:
f(x) = -cos(x) + C
Where C is a constant of integration.
And we also want that:
f(2) = 5
with that relationship we can find the value of C.
f(2) = 5 = -cos(2) + C
(The calculation is done in radians)
5 = -(-0.416) + C
5 - 0.416 = C = 4.584
Then the function is:
f(x) = -cos(x) + 4.584
can i have some help
Answer:
one solution
Step-by-step explanation:
once you solve it, x equals 0
Write the word sentence as an equation. Then solve. A number divided by -9 is -16.
Answer:
X÷-9=-16 x=144
Please help I’m really stressed
What’s the answer to this problem?
Answer: y − 6 = 5 ⋅ ( x − 1 )
Step-by-step explanation:
Answer: y − 6 = 5 ⋅ ( x − 1 )
Step-by-step explanation: becuase i got the awnser right on the question
What is the scale factor of AABC to AXYZ?
B
3
35
Y
60
-350
45
9
12
48°
96°
48°
35
x 7 Z
O A. 5
d
B.
1
3
-
C. 3
D.
011
The scale factor from triangles ABC to XYZ IS 6.
Option A is the correct answer.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
ΔABC and ΔXYZ
The corresponding sides are:
AB = XY
BC = YZ
AC = XZ
Now,
We see that,
XY = 6 x AB
YZ = 6 x BC
XZ = 6 x AC
So,
The scale factor is 6.
Thus,
The scale factor from triangles ABC to XYZ IS 6.
Learn more about scale factors here:
https://brainly.com/question/20759556
#SPJ7
what is the slope of a line perpendicular to the line y=-1/4x-1
slope of line perpendicular to the line y=-1/4x-1 is 4.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us write the given equation y=-1/4x-1
If we compare the given equation with slope intercept form
We get to know slope of line m is -1/4.
It two lines are perpendicular then the product of their slopes will be -1
-1/4×m=-1
m=4
Hence slope of line perpendicular to the line y=-1/4x-1 is 4.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Solve the following equation for x give your answer in simplified form 1/4x +3y =8
Ill give Brainliest!!! PLease THIS IS MY LAST QUESTION, I HAVE 5 MINUTES LEFT!!!
Answer:
y=95x+50
Step-by-step explanation:
A car dealership increased the price of a certain car by 11%. The original price was $42,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price - Original price
(b) Use your answer in part (a) to determine the new price.
So, with percentages the easiest way is to multiply the 42200 by 0.11. After that you get (4642.00) < Answer to A so you add 42200 to 4642 to get the new price. That should bring you to (46842.0) < Answer to B
which of these context describes a situation that is likely?
2p + 3w = 7.25 whats p
Marking people as brainlist are the triangles congruent?
Answer:
congruent by S.A.S. hope it helps if you could give me brainliest it would help. THANKS
Step-by-step explanation:
A poster of the detroit lions football players uses a scale of 4 inches= 3 feet. If quarterback Matthew stafford is 8 1/2 inches tall on the poster, find his actual height.
Answer:
The actual height = 6.38 feet
Step-by-step explanation:
Given that a poster of the detroit lions football players uses a scale
of 4 inches = 3 feet
so
1 inch = 3/4 feetGiven that the poster's length:
[tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex] inch
We need to determine the actual height if quarterback Matthew Stafford is 8 1/2 inches tall on the poster.As 1 inch = 3/4 feetThus, we need to multiply 8.5 inches by 3/4 to determine the actual height of the player.
Actual height = 8.5 × 3/4 feet
= 6.38 feet
Therefore, the actual height = 6.38 feet
What is the slope of a line perpendicular to the line whose equation is
10x – 8y = -80. Fully reduce your answer.
Answer:
-4/5
Step-by-step explanation:
write the given equation in y=mx+b form, where m is the slope
10x-8y=-80
-8y= -10x-80 divide both sides by -8
y=(10/8)x+10
y=(5/4)x+10
m= 5/4 is the slope of the given function
the slope of an equation that is perpendicular is the negative reciprocal of the given one so is
m= -4/5
Please use the graphing method to solve the following system of the linear equation:
Answer: I think c but im not too sure
Step-by-step explanation;
Answer:
B (4,4)
Step-by-step explanation:
if you go to desmos.com, click on graphic calculator and put your equations in you will see they intersect at point (4,4)
Please help me on number (15) Will mark brainliest
Answer:
that will be 12
Step-by-step explanation:
will mark brainliest with ONE question!!^^^^^^^^
Answer:
c + 0.5b =700 and c + b =1,000 I think
Answer:
c+b=1000
Step-by-step explanation:
This problem can be solved by process of elimination. If the end weight is 1000, then at the equal sign, it should also be 1000. Since the last option is the only one with 1000, then it would be the only correct option.
Inverse operations are mathematical operations that undo one another. Division is the inverse operation of multiplication. -2 × 6 = -12. -12 ÷ 6 then "undoes" this multiplication, leaving us with a quotient of -2. Multiplication and division follow the same rules related to signs. A negative integer multiplied by a positive integer gives us a negative product. Similarly, a negative integer divided by a positive integer gives us a negative quotient. However, unlike multiplication, division is not commutative. If you change the order of the number you're dividing and the number you're dividing by, you will get a different quotient. Find the quotient: -54 ÷ 9 =
Answer:
-54/9=-6
Step-by-step explanation:
When doing this division we need to take a couple of things into account. First, notice we are dividing a negative number into a positive number, therefore our answer must be negative.
Second, notice that 9 fits 6 time into 54, therefore:
-54/9=6
We can look at this graphically, if we have 54 squares and divided them in groups of 9, we would get 6 groups of 9 in total.
See attached picture.