Final Answer: [tex]5x - 30[/tex]
Steps/Reasons:
Question: Simplify [tex]5(x - 6)[/tex]
Step 1: Expand by distributing the terms.
[tex]5x + 5[/tex] × [tex]-6[/tex]
Step 2: Simplify [tex]5[/tex] × [tex]-6[/tex] to [tex]-30[/tex].
[tex]5x - 30[/tex]
~I hope I helped you :)~
Our equation looks like:
[tex]5(x-6)[/tex]
This means that we will need to distribute. This means that we need to multiply everything inside the parenthesis by the number outside of the parenthesis. (Note: you only distribute when variables are involved.)
[tex](5 \cdot x)-(5 \cdot 6)[/tex]
Simplify:
[tex]5x-30[/tex]
We cannot simplify any further, so we know that our equation, until we know what x equals, is [tex]5x - 30[/tex].
There were 24 boys and 20 girls in a chess club last year. This year
the number of boys increased by 25% but the number of girls
decreased by 10%.
Find the overall percent change in membership of the club.
10
Answer:
35%
Step-by-step explanation:
If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.
Consider the following system of equations
-2x+5y=19
Y=-5/6x-1/6
Use this graph of the system to approximate its solution
A. (13/4,-5/2)
B. (-5/2,13/4)
C. (-13/4,5/2)
D.) (5/2,-13/4)
Answer:
C
Step-by-step explanation:
We have the system of equations:
[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]
And we want to use the graph to approximate the solution to the system.
Remember that, graphically, the solution to a system of equations is where the two graphs intersect.
We can see that the point at which the two lines intersect is in QII.
Hence, x is negative and y is positive.
The only choices that satisfies these conditions are B or C.
However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.
Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.
So, our final answer is C.
Solve for x: 10(x + 1) = 2x - 7
Answer:Simplifying
x = -2.125
Step-by-step explanation:Add '-10' to each side of the equation.
10 + -10 + 8x = -7 + -10
Combine like terms: 10 + -10 = 0
0 + 8x = -7 + -10
8x = -7 + -10
Combine like terms: -7 + -10 = -17
8x = -17
Divide each side by '8'.
x = -2.125
Simplifying
x = -2.125
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer:
table b i think
Step-by-step explanation:
Write a function rule.
y is 9 less than the product of 8 and x.
Answer:
dumyemimynumifgmfdhum
Plz someone help I beggggg
Answer:
25100 i believe would be the answer
Step-by-step explanation:
Which fraction is not equivalent to 9/12
PLEASE HURRY
Answer:
1/2
1/2 = 50%
9/12 = 75%
Step-by-step explanation:
can someone explain
Answer:
K = -2
Step-by-step explanation:
K represents the y-intercept, which is where the line crosses the y axis. We can see from the y = -4x -2, that -2 is the y-intercept, because in y = mx + b, b is the y -intercept.
~theLocoCoco
BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?
Answer:
i would go for a but im not really sure. sorry if incorrect
Step-by-step explanation:
im struggling :(((((((((((
Answer:
Step-by-step explanation:im sorry im only 11
suppose aaron earned 15.75 in interest for account A and 28.00 in interest for account B after 21 months if the simple interest rate is 3.0% for account A and 4.0% for account B wich account has the greater principle explain
Answer:
Principle for account B is greater.
Step-by-step explanation:
First of all, let us have a look at the formula for Simple Interest:
[tex]SI =\dfrac{PRT}{100}[/tex]
Where [tex]P[/tex] is the principle amount
[tex]R[/tex] is the Rate of interest per annum
[tex]T[/tex] is the time in years.
Time = 21 months = [tex]\frac{21}{12}\ yrs[/tex]
[tex]R_1 = 3\% \\R_2=4\%[/tex]
Let the Principles be [tex]P_1, P_2[/tex].
Using the formula for Simple Interest, we get:
[tex]SI_1=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow 15.75=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow P_1 = 300[/tex]
[tex]SI_2=\dfrac{P_2\times 4\times 21}{100\times 12}\\\Rightarrow 28=\dfrac{P_2\times 3\times 21}{100\times 12}\\\Rightarrow P_2 = 533.33[/tex]
Therefore, principle for account B is greater.
Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!
Answer:
A or the first one
Step-by-step explanation:
Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly
just fill in the blanks pls tyy
Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
[tex]Y^2 - 24^2=25^2[/tex]
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
Learn more: brainly.com/question/17429689
Tanner measured the rate of oil draining from a tank. His measurements showed that the relationship betwđen the height (in inches) of the oil in the tank, h,
and the time in minutes) that the oil was draining, t. could be modeled by the equation h = 8 -0.25t.
According to the model, how long will the oil need to drain for the height to decrease by 1 inch?
0.25 minutes
1 minute
4 minutes
8 minutes
Answer:
8
Step-by-step explanation:
1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?
Answer:
53 shares
Step-by-step explanation:
Calculation for how many SHARES did he then own
Using this formula
Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]
Let plug in the formula
Numbers of shares= [(.06 x 50 shares)+50 shares]
Numbers of shares= 3 + 50 shares
Numbers of shares = 53 shares
Therefore How many shares did he then own is 53 shares
5 + 0.08 + 0.004 in word form plz
Answer:
Five plus eight hundredths plus four thousandths
Answer:
five plus zero point zero eight plus zero point zero zero four equals five point zero eighty four
Step-by-step explanation:
C С
800.54 + 90.52 =
Answer: 891.06
Step-by-step explanation:
add 800.54 by 90.52
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answer:
The answer to the chart is y=x-1
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
Select the correct answer.
Consider these functions:
f(x) = 2x^3+3
g(x) =x- 4
What is the value of g(f(x))?
Answer:
A. 2x³ - 1
General Formulas and Concepts:
Algebra I
Composite FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 2x³ + 3
g(x) = x - 4
Step 2: Find g(f(x))
Substitute: g(f(x)) = (2x³ + 3) - 4Simplify: g(f(x)) = 2x³ - 11 - 3x = 3x + 1 solve for x
Answer: x = 0
Step-by-step explanation:
1 - 3x = 3x + 1
then add 3x on both sides
1 = 6x + 1
then subtract 1 on both sides
0 = 6x
then divide by 6 on both sides
0 = x
so x = 0
Answer:
x would be unknown bc there wouldnt be an answer since
1-3x=3x+1
if we take away 1 forom both sides were left with -3x=3x and it would be 6x if we combined them which can be possible bc it would be nothing = 6x if that makes sense
Step-by-step explanation:
A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.
Answer:
30 angels
Step-by-step explanation:
How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5 % per annum of simple interest?
[Irrelevant answers will be reported]
Answer:
2 years
Step-by-step explanation:
Let us take the time period be t .
And , we know formula of SI as ,
[tex]\boxed{SI = \frac{PRT}{100}}[/tex]
[tex]\implies Rs 810 = \dfrac{Rs 9000 \times 4.5 \times t }{100}\\\\\implies t = \dfrac{810 \times 100 }{9000\times 4.5 } \\\\\underline{\boxed{\red {\implies Time = 2 \ years }}}[/tex]
11. A loading crew estimates that it can load 8 boxes in 20 minutes. At this rate,
how many boxes could it load in 1 hour?
Answer:
24
Step-by-step explanation:
If 20 × 3 = 60 which is an hour then you do 8 × 3 = 24.
So 24 boxes
^^^ this too please
help i need the answer
Answer:
the first one
[tex].5x+10\geq .25x+15[/tex]
Step-by-step explanation:
They want to know how much I will take for the amount they have read to be the same. So that automatically crosses out the last one. They asking you to subtract anything so that crosses the third one out. The second option has the number of pages the both read first switched so that crosses that one out.
I hope this explanation was helpful.
Help Will give crown
Answer:
a) x=3
y=6*3+4
=22
b) x=4
y=6*4+4
=24
c) x=6
y=6*6+4
=40
d) x=7
y=6*7+4
=46
Hope it will help you......PLEASE HELP!!!!!!!!!!!!!!
Answer:
882-28282=9191
Step-by-step explanation:
The drawing at the right shows a person,
5 feet tall, casting a shadow 3 feet long.
The tree is casting a shadow 15 feet long.
How tall is the tree?
Answer:
I would say the tree is 18 feet tall
Answer: 25 feet tall
Step-by-step explanation:
First, let's take a look at the person. If they are 5 feet tall and cast a shadow of 3 feet, we can easily convert this into a proportion: 5 feet tall: 3 feet shadow.
Continuing with this method, we can convert the tree into a proportion: x feet tall: 15 feet shadow.
So, 5:3=x:15. Mathematically, think of it as 5/3=x/15.
To find x, you will need to multiply 15 to both sides, or perform cross multiplication. (5/3)(15)=(x/15)(15). This will equal 25. The tree is 25 feet tall.