Answer:
2, rise over run. 2/1 =2.
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
please explain
Answer: y = 6; x = 12
Step-by-step explanation:
3x - 30 = y
Change this into an equation where x and y are in the same side.
3x - 30 = y
Subtract y from both sides
3x - y - 30 = 0
Add 30 to both sides
3x - y = 30
7y - 6 = 3x
Do the same thing I did to the first equation
7y - 6 = 3x
Subtract 3x from both sides
-3x + 7y - 6 = 0
Add 6 to both sides
-3x + 7y = 6
We can now use the system of elimination to find x and y.
3x - y = 30
-3x + 7y = 6
After adding both equations, you get:
6y = 36
Divide 6 from both sides
y = 6
Since we now know y, we can solve for x.
3x - 30 = y
Substitute y for 6
3x - 30 = 6
Add 30 to both sides
3x = 36
Divide both sides by 3
x = 12
Hope this helped!
Answer:
[tex]x = 12.y = 6[/tex]
Step-by-step explanation:
Restructuring
[3x - 30 = y
-3x - 6 =7y
[tex] \frac{ - 36}{ - 6} = \frac{ - 6y}{6} [/tex]
y=6
Sub 6 in equ II
7(6)-6=3x
[tex] \frac{36}{3} = \frac{3x}{3} [/tex]
x=12
Sarah started collecting coins last year.
She already collected 58, when she received another 21 from her parents.
She is expecting to get 12 more for her birthday next week.
How many coins is she going to have at the end of next week if her expectation is right?
Answer:91 coins
Step-by-step explanation:You add them all together the numbers which are 58 and 21 and 12.It gives you 91 coins in total.
Hope it helps :)
X
3
7
+
Simplify:X-3 X+4 x²+x-12
Rewrite the expression using the LCD:
Ox(x+4)-3(x-3)+7
(x-3)(x+4)
O x(x+4)+3(x – R+7
(x-3)(x+4)
x(x+4)+3(x-3) -7
(x-3)(x+4)
Answer: it’s a
Step-by-step explanation:
Answer: A for the first part and B for the second part
Step-by-step explanation:
Subtract (−x − 2) − (4x + 3).
Answer:
-5x - 5
Step-by-step explanation:
1. Distributive Property
-x - 2 - 4x - 3
2. Combine like terms
-5x - 5
Hope this helped!
You might need:
Calculator
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x2 – 484
lesser x =
greater 2 =
Answer:
x = -11, x = 11
Step-by-step explanation:
Zeros are when g(x) = 0:
[tex]0=4x^{2} -484[/tex]
[tex]0=4(x^{2} -121)[/tex]
[tex]0=x^{2} -121[/tex]
Factor:
[tex]0=(x-11)(x+11)[/tex]
[tex]0=x+11, 0=x-11[/tex]
[tex]x=-11, x=11[/tex]
Find cos 0 for 0 = 30°
The 0 has a weird line through it
Answer: [tex]\frac{\sqrt{3}}{2}[/tex]
======================================================
Explanation:
The symbol [tex]\theta[/tex] is the greek letter theta. It's often used in trigonometry for angles.
In this case, [tex]\theta = 30^{\circ}[/tex]
So,
[tex]\cos(\theta) = \cos(30^{\circ}) = \frac{\sqrt{3}}{2}[/tex]
You'll need to use a reference sheet or the unit circle to determine the value of cos(30). Or you could use a 30-60-90 triangle template.
When using the unit circle, look in the upper right quadrant (which is quadrant 1). The angle 30 degrees is in this quadrant. Locate the terminal point and note how [tex]\frac{\sqrt{3}}{2}[/tex] is the x coordinate of the terminal point. This is due to [tex]x = \cos(\theta)[/tex]
Side note: [tex]\frac{\sqrt{3}}{2} \approx 0.866025[/tex]
Please help!!! I’ll mark brainliest!! (Look at picture)
Answer:
[tex]\huge\boxed{\sf (x*4) + (x*5) = 54}[/tex]
Step-by-step explanation:
[tex]\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Some helpp pleaseeeee
Step-by-step explanation:
( 1.5 * 10^0 ) * ( 2.0 * 10 ^ - 5)
= 1.5 * 1 * 2.0 * 10 ^ - 5
= 3 * 10^-5
Hope it will help :)
Based on the graph shown, which features are correctly stated?
Answer:
A, B, & C.
that's features that correctly stated.
Use the word virtue in a complete and strong sentence about someone you know.
Answer:
Step-by-step explanation:
My friend is a virtue because he is very upright. The patience that he has is very virtuous, and during school, he shows high moral standards and you can see it by the grades he gets.
Hope this helped a little!
The amount of increase , divided by the original amount, equals the ____of increase
Answer: percent
Step-by-step explanation: i know stuff and btw i hope this helps
A Stock company was selling at 28$ a share a month later it was selling at 21$ a share what is the percent loss ?
Answer:
25% loss
Step-by-step explanation:
21 is 75% of 28, because 7*3 = 21 and 7*4 = 28
100%-75%=25%
Hope this helps!
Answer:
the answer is 50 %
Step-by-step explanation:
C.P x (100+ (P/L) ) over 100 = S.P
C.P x 50 over 100 = 8500
C.P = 8500 x 100 over 50 = 17000 .Rs.
hope it helps make me the brainliest now !!!!!!!
if 15.5 gallons are $24.16, how much is it for one gallon
Answer:
$1.55870968
Step-by-step explanation:
24.16dollars/15.5gallons = 1.55870968dollars/gallon
- tan^2x + sec^2x = 1 proving trig equations
Answer:
Is C
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sec²x = 1 + tan²x
Consider the left side
- tan²x + sec²x
= - tan²x + 1 + tan²x ← collect like terms
= 1
= right side, thus proven
Write the rule for the linear function. Remember a function rule is written using f(x)
Answer:
The rule for the linear function wil be:
f(x) = xStep-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear
Taking two points
(0, 0)(1, 1)Finding the slope between (0, 0) and (1, 1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - 0] / [1 - 0]
= 1 / 1
= 1
Thus, the slope of the line = m = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 0
Thus, the y-intercept b = 0
Now, substituting m = 1 and b = 0 in the slope-intercept form of linear function
y = mx+b
y = (1)x + 0 ∵ m = 1, b = 0
y = x
f(x) = x ∵
Therefore, the rule for the linear function wil be:
f(x) = xOMG PLEASE HELP QUICK 7TH GRADE LEVEL
Answer:
26 Feet
Step-by-step explanation:
6 feet 6 inches x 4
Answer:
That would be about 26 feet.
Step-by-step explanation:
sinA.secA
__________ = tan²A
cosecA.cosA
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to show that the left hand side equals the right hand side
We can express the left hand side as:
sin A/ cos A * sec A/cosec A
kindly recall that;
sin A/cos A = tan A
Also;
sec A = 1/ cos A
cosec A = 1/ sin A
Thus, we have that ;
tan A * 1/cos A / 1 / sin A
= tan A * sin A/cos A
This is;
tan A * tan A = tan^2 A
Peter made 19 1/8 cups of chili for the football game. If 14 3/4 cups of the chili were eaten how many cups of chili did peter have left over
Answer:
Step-by-step explanation:
3)Hubba Bubba Bubble gum
was $0.25 thirty years ago.
Today it costs $1.39. What is
the percent increase? Round
to the nearest hundredth (if
necessary).
V
Answer:
456% increase
Step-by-step explanation:
Step one:
given data
Hubba Bubba Bubble gum was $0.25 30 years ago
Today it costs $1.39.
Required
The percentage increase
Step two:
Percentage increase= change in price/ old price *100
Percentage increase= 1.39-0.25/0.25 *100
Percentage increase=1.14/0.25 *100
Percentage increase=4.56*100
Percentage increase=456%
Answer the following Question with Appropriate Explanation
Answer:
option is B)
Step-by-step explanation:
2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.
2x = 4
hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...
What is the equation of the circle shown below?
Step-by-step explanation:
Equation of circle: (x + 2)² + (y - 2)² = r²
Radius of the circle is 3 (from -2 to 1).
Hence we have
(x + 2)² + (y - 2)² = 3² or (x + 2)² + (y - 2)² = 9.
Word Problem (x and y intertcept)
A doll company can make a doll at a cost of P35 per doll. If the selling of the doll is x pesos and the number of dolls sold per month is 500 - x,
a. Express the monthly profit in pesos as a function of x.
b. If the selling price of the doll is P85, determine the monthly profit. Use the result in letter a.
Answer:
a. Monthly profit is
(x-35)(500-x)
b. given x = 85, the profit is 20,750 pesos
Step-by-step explanation:
a. The monthly profit is the selling price - cost price
The cost price for the number of dolls made will be ;
35(500-x)
The value of the amount we are selling all is;
x(500-x)
So the monthly profit would be;
x(500-x)-35(500-x)
= (x-35)(500-x)
b. Given the selling price we 85 , we want to calculate the monthly profit
From
what we have, x will be 85
Substituting in the equation we have for A above, we have that;
(85-35)(500-85)
= 50* 415 = 20,750 pesos
Please help! Will give brainiest! HIGH POINTS
Evaluate each of the following using ...
Answer:
F(0)= 0, 0
F(3)= -21, 3
F(2)= -12, 2
Step-by-step explanation:
explanation
The local comic book store is having a closeout sale on their last 375 comic books and Pokémon cards. They are selling single issue comics for $5.79 and Pokémon boosters packs for $3.35. Their goal is to make $1345 to break even on their current final cost. Approximately how many of each do they need to sell?
Answer:
36 comic books and 339 Pokemon cards
Step-by-step explanation:
Let number of comic books be [tex]x[/tex] and number of Pokemon cards be [tex]y[/tex].
Total number of comic books and Pokemon cards is [tex]375[/tex]. So we get the equation
[tex]x+y=375\\\Rightarrow y=375-x[/tex]
Cost of one comic book is $5.79 and one Pokemon card is $3.35.
They need to make $1345 so we get the equation
[tex]5.79x+3.35y=1345\\\Rightarrow 5.79x+3.35(375-x)=1345\\\Rightarrow 5.79x-3.35x+3.35\times 375=1345\\\Rightarrow x=\dfrac{1345-3.35\times 375}{5.79-3.35}\\\Rightarrow x=36.37\approx 36[/tex]
[tex]y=375-x=375-36\\\Rightarrow y=339[/tex]
So, they need to sell approximately 36 comic books and 339 Pokemon cards.
Look at the graph shown below:
Which equation best represents the line?
A: y = 1 over 3 x - 1
B: y = 3x - 1
C: y = -x + 1 over 3
D: y = 3x + 1
What does sas stand for
Answer: Statistical Analysis System
Step-by-step explanation:
I = $60, P = $750, r = 4%, t = ?. Find the amount of time.
Answer:
you need to be more specific.
5. Company “A” charges $80 a month for
their cell phone plan and $5 for a 100MB
of Data. Company “B” charges $60 a
month for their cell phone plan and $10 for
a 100MB of Data. How many mega bytes
of data used would make the cost from
either company equal?
Answer:
400 megabytes of data used will make the cost from either company equal.
Step-by-step explanation:
Given that:
Per month charges of Company A = $80
Charges of 100 MB = $5 = [tex]\frac{5}{100}=\$0.05\ per\ MB[/tex]
Let,
x be the number of MBs consumed.
y be the total charges.
y = 0.05x+80
Per month charges of Company B = $60
Charges of 100 MB = $10 = $0.1 per MB
y = 0.1x+60
For equal charges;
0.05x+80 = 0.1x + 60
80-60 = 0.1x-0.05x
20 = 0.05x
[tex]\frac{0.05x}{0.05}=\frac{20}{0.05}\\x=400[/tex]
Hence,
400 megabytes of data used will make the cost from either company equal.
Find the equation of the straight line that is parallel to 2y - x = 7 and bisects the line joining the points (3,1) and (1,-5).
Answer:
yes that is completely correct
The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He then paid 8% sales tax on the discounted price.
Part A: What is the percent discount on the game? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Mario paid for the video game including tax? Show all work and steps in your solution.
Answer:
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Step-by-step explanation:
Given that:
Part A:
Original price of video game = $32.99
Discounted price = $26.39
Amount of discount = 32.99 - 26.39 = $6.60
Discount percent = [tex]\frac{Amount\ of\ discount}{Original\ price}*100[/tex]
Discount percent = [tex]\frac{6.60}{32.99}*100 = 0.20*100[/tex]
Discount percent = 20%
Part B:
Sales tax = 8% of discounted price
Amount of sales tax = [tex]\frac{8}{100}*26.39 = 0.08*26.39[/tex]
Amount of sales tax = $2.11
Total amount = $26.39 + $ 2.11 = $28.50
Hence,
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.