Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]
Required
Solve for x
[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]
Add [tex]\frac{1}{3}[/tex] to both sides
[tex]\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}[/tex]
[tex]\frac{4}{3}x = 9 + \frac{1}{3}[/tex]
Take LCM
[tex]\frac{4}{3}x = \frac{27 + 1}{3}[/tex]
[tex]\frac{4}{3}x = \frac{28}{3}[/tex]
Multiply both sides by [tex]\frac{3}{4}[/tex]
[tex]\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}[/tex]
Evaluate the left hand side
[tex]x = \frac{3}{4} *\frac{28}{3}[/tex]
[tex]x = \frac{28}{4}[/tex]
Divide 28 by 4
[tex]x = 7[/tex]
Answer:
x=7 we are both correct
Step-by-step explanation:
Can someone please help me with these practice problems? *URGENT*
5 3/4
i don't know how to solve this
Answer:
it would be 5.75
Hope this helps! :)
(make brainliest if it helped!!)
{3x+y=10
{X-4y=-1 You must solve for Y
Answer:
x = 3 and y = 1
Step-by-step explanation:
Solve the following system:
{3 x + y = 10
x - 4 y = -1
Express the system in matrix form:
(3 | 1
1 | -4)(x
y) = (10
-1)
Solve the system with Cramer's rule:
x = 10 | 1
-1 | -4/3 | 1
1 | -4 and y = 3 | 10
1 | -1/3 | 1
1 | -4
Evaluate the determinant 3 | 1
1 | -4 = -13:
x = 10 | 1
-1 | -4/(-13) and y = 3 | 10
1 | -1/(-13)
Simplify 10 | 1
-1 | -4/(-13):
x = -1/13 10 | 1
-1 | -4 and y = 3 | 10
1 | -1/(-13)
Simplify 3 | 10
1 | -1/(-13):
x = -(10 | 1
-1 | -4)/13 and y = -1/13 3 | 10
1 | -1
Evaluate the determinant 10 | 1
-1 | -4 = -39:
x = (-1)/13×-39 and y = -(3 | 10
1 | -1)/13
(-1)/13 (-39) = 3:
x = 3 and y = -(3 | 10
1 | -1)/13
Evaluate the determinant 3 | 10
1 | -1 = -13:
x = 3 and y = (-1)/13×-13
(-1)/13 (-13) = 1:
Answer: x = 3 and y = 1
Simplify | - 7 - 1 |.
| - 7 - 1| = | - 7 + ( -1 ) |
= | -8|
= 8
= 8
| -7 - 1 | = 8
Answer:
8
Step-by-step explanation:
Which best expression is the best estimate of the product of 7/8 and 8 1/10
A.0•8
B.1•10
C.7•8
D.1•8
Answer:
D. 1x8
Step-by-step explanation:
7/8 rounded is 1. And 8 and 1/10 rounder is 8, so therefore your answer is 1x8.
hope this helps! :)
A taxi company charges $5 to ride in the cab plus an additional $0.35 for each mile driven. If Jose has $45 and he needs to take two taxi rides, how many miles is he able to go without running out of money?
Answer:
100 miles
Step-by-step explanation:
2 rides = 10$
3.5$=10 miles x 10=35$=100 miles
Which decimal comes between 1/2 and 5/8. A. 0.629 B. 0.07 C. 0.499 D. 0.6
Answer:
D
1/2 is 0.5
5/8 is 0.625
Which one is less than 0.625 and greater than 0.5?
0.6
If tn is 2n+3 find t7 t30 and s10
Answer: t₇ = 17 t₃₀ = 63 S₁₀ = 140
Step-by-step explanation:
t₇ = 2(7) + 3
= 14 + 3
= 17
t₃₀ = 2(30) + 3
= 60 + 3
= 63
S₁₀ = (t₁ + t₁₀)/2 × 10
= (5 + 23)/2 × 10
= 28/2 10
= 14 × 10
= 140
What is the distance between (2,-1) and (2,5)
Answer:
6
Step-by-step explanation:
Since the x coordinates are the same, we are only concerned about the y coordinates
Find the difference between -1 and 5
5 - -1
5+1
6
The distance is 6
The coordinates of point T are (0,3). The midpoint of ST is (2,−2). Find the coordinates of point S. The other endpoint is nothing. (Type an ordered pair.)
Answer:
The coordinates of point S are (4,-7).
Step-by-step explanation:
Given the locations of points S and T, the midpoint coordinates are set by midpoint formulas:
[tex]\bar x = \frac{x_{S}+x_{T}}{2}[/tex] and [tex]\bar y = \frac{y_{S}+y_{T}}{2}[/tex]
Where:
[tex]x_{S}[/tex], [tex]x_{T}[/tex] - x-Components of S and T.
[tex]y_{S}[/tex], [tex]y_{T}[/tex] - y-Components of S and T.
The coordinates of S are cleared:
[tex]x_{S} = 2\cdot \bar x -x_{T}[/tex]
[tex]y_{S} = 2\cdot \bar y - y_{T}[/tex]
If [tex]\bar x = 2[/tex], [tex]\bar y = -2[/tex], [tex]x_{T} = 0[/tex] and [tex]y_{T} = 3[/tex], the equations are now solved:
[tex]x_{S} = 2\cdot (2) -0[/tex]
[tex]x_{S} = 4[/tex]
[tex]y_{S} = 2\cdot (-2)-3[/tex]
[tex]y_{S} = -7[/tex]
The coordinates of point S are (4,-7).
A students regular desk is 30 inches long and 18 inches wide. The teachers desk is similar to the student desk and has a length of 50 inches. What is the width of the teachers desk?
Answer:
Width of Teacher desk = 30 in
Step-by-step explanation:
Given:
Length of student desk = 30 in
Width of student desk = 18 in
Length of teacher desk = 50 in
Find:
Width of Teacher desk
Computation:
Assume,
Width of Teacher desk = x
Teacher desk is similar to student desk
Length of student desk / Width of student desk = Length of teacher desk / Width of Teacher desk
30 / 18 = 50 / x
x = [(50)(18)] / 30
Width of Teacher desk = 30 in
covert 1.3902 to centiliters
Answer:
`13.902
Step-by-step explanation:
is the following a function? why or why not
Answer:
No
Step-by-step explanation:
Functions can only have 1 range per domain (Only 1 Y output per X). Another method is by using the vertical line test, and in this case it fails because more than 2 points are on the same vertical line (x = 1 and x = 2)
can someone help me solve this
the football team lost 8 years on every play for 5 plays which intergers shows the total number of yards the team has lost
Answer:
-40
Step-by-step explanation:
The team won 16 games and lost 8 games.
What is subtraction?
Subtraction is one of the four basic arithmetic operations that is used to find the difference.
A football team won 8 more games than they lost. They played 24 games in the season. How many games were won and how many were lost?
The team lost n games.
The team won 8 more games than it lost, so it won n + 8.
The total number of games the team played was n + n + 8, or 2n + 8.
The team played a total of 24 games, so
2n + 8 = 24
We now solve for n.
2n + 8 = 24
2n = 16
n = 8 (lost games)
n + 8 = 8 + 8 = 16 (won games)
Hence, The team won 16 games and lost 8 games.
Learn more about subtraction here;
https://brainly.com/question/11328248
#SPJ2
solve (8²)³ Simplified and what law did you use?
Answer:
[tex]8^{6}[/tex]
Step-by-step explanation:
power to power rule: multiply the bases
Answer:
262144
Step-by-step explanation:
(8²)³
When there is a power on top of a power, In this case (^2)^3, you DON'T Multiply 2 three times. You multiply two WITH 3.
SO,
(8²)³
= 8^6
Final answer =262144
75% as a fraction in simplest form
Answer:
3/4
Step-by-step explanation:
Show all work
14 +18 - 2 x 18 -7
Answer:
-11
Step-by-step explanation:
BIDMAS
(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)
14 + 18 - 2 x 18 -7
the first thing we do is the multiplication (since there is no division in this question)
14 +18 − (2)(18) −7
14 + 18 - (36) - 7
32 - 36 - 7 = -11
124.4 divided by 4, idk they want more characters even tho it’s REALLY SIMPLE
Answer:
31.1
Step-by-step explanation:
Answer:
31.1
Step-by-step explanation:
124.4 / 4
= 0.1 * (1244/4)
= 0.1 * 311
= 31.1.
-3/4 x + 1/2 = 3/4 solve for x please
Answer:
[tex]x = -\frac{1}{3}[/tex]
Step-by-step explanation:
1/2 = 2/4Plug 2/4 in: -3/4x + 2/4 = 3/4Subtract 2/4 from each side, so it now looks like this: -3/4x = 1/4Divide each side by -3/4, so it cancels out the -3/4 next to x. It should now look like this: x = -1/3I hope this helps!
PLEASE HELP QUICK!!!
find the volume of the cone. either enter an exact answer in terms of pi or use 3.14 for pi
The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]
Plug in the values we know.
[tex]V=\pi (5)^2\frac{6}{3}[/tex]
[tex]V=\pi*25*2[/tex]
[tex]V=50\pi[/tex]
[tex]V=157[/tex]
^ If 3.14 was used for [tex]\pi[/tex]
Hope this helps.
頑張って!
Angie and Kenny play online video games. Angie buys 1 software package and 1 month of gameplay. Kenny buys 2 software packages and 3 months of gameplay. Each software package costs $50. If their total cost is $218, what is the cost of one month of gameplay?
Answer:
The cost of one-month gameplay is $39.33 or 39.
Step-by-step explanation:
Let the cost of one month = x
The cost of software = $50
The total amount that can be spent = $218
Therefore, we have to find the cost of one month of game play. Here is the following equation.
218 = (50 + x) + (50 + 2x)
218 = 100 + 3x
218 – 100 = 3x
118 = 3x
x = 118 / 3
x = 39.33 or 39
thus, the cost of one-month gameplay is $39.33 or 39.
How much would $200 invested at 6% interest compounded annually be worth after 5 years? Round your answer to the nearest cent.m
Answer:
$252.50
Step-by-step explanation:
Furture value$252.50
Total Deposits: $200
Interest Earned: $52.50
distribute and combine √12x(-1+√5
Answer:
-2[tex]\sqrt{3x}[/tex] + 2[tex]\sqrt{15x}[/tex]
Step-by-step explanation:
A train of length 180 m approaches a tunnel of length 620 m.
How long will it take the train to pass completely through the
tunnel at a speed of 54 km/h?
How many solutions exist for the equation 5(x-1)+2 = 2x+3x-3 ?
Answer:
infinite number of solutions
Step-by-step explanation:
Given
5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify
5x - 5 + 2 = 5x - 3, that is
5x - 3 = 5x - 3
Since both sides are equal then there are an infinite number of solutions to the equation.
[tex] |7 + 8x| > 5[/tex]
I've tried solving this inequality multiple times and I just can't get it right. I don't know what I'm doing wrong. please help
The absolute value is defined as
[tex]|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
So for example, if x = 3, then |x| = |3| = 3, since 3 is positive. On the other hand, if x = -5, then |x| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.
For the inequality |7 + 8x| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.
• If 7 + 8x ≥ 0, then |7 + 8x| = 7 + 8x, so that
[tex]|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14[/tex]
• Otherwise, if 7 + 8x < 0, then |7 + 8x| = -(7 + 8x), so that
[tex]|7+8x|>5\implies-(7+8x)>5\implies7+8x<-5\implies8x<-12\implies x<-\dfrac32[/tex]
The solution to the inequality is the union of these two intervals.
6. Two trains traveled from opposite
directions on parallel tracks toward
the bullfight town. They started
1,110 km apart at exactly the same
time. Train A's speed was 55 km/h
and Train B's speed was 85 km/h.
Would the trains have
met within 5 hours?
Answer:
They will not have met
Step-by-step explanation:
Train A will have traveled 275km in 5 hours and Train B will have traveled 425km in 5 hours. This means that they will be 700km closer to one another but still 400km apart
5
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1,5). What are the coordinates after the
two transformations
Translation (x, y) -> (x - 2y - 1)
Rotation: 90 degrees counterclockwise at the origin. *
(2 points)
Enter your answer
Answer:
R(-2,0)
S(0,-4)
T(-4,-3)
Step-by-step explanation:
So first you gotta subtract 2 from each x value and 1 from each y value. After you do that, you get:
R(0,2)
S(-4,0)
T(-3,4)
then i put it all onto a graph, and rotated it 90* counterclockwise, from the origin, which puts it in quadrant 3, with the final coordinates above.
6x+11=3x-1, what is x
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]6x+11=3x-1[/tex]
To solve this equation, we must first minus(subtract) 3x from both sides of the equation.
[tex]6x+11-3x=3x-1-3x[/tex]
And this equals:
[tex]3x+11=-1[/tex]
Now we must subtract again, but 11 times now.
[tex]3x+11-11=-1-11[/tex]
And this equals:
[tex]3x-12[/tex]
Now let's make this into a fraction to divide.
[tex]\frac{3x}{3}[/tex]
We get [tex]\frac{-12}{3}[/tex]
Now we got our answer:
[tex]x=-4[/tex]
Hope this helps!
Answer:
-4
Step-by-step explanation:
First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3