Answer:
3y = 2x + 24
Step-by-step explanation:
The correct question is as follows;
Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3
Solution
Here, we have a point and a slope, and we want to write the equation of the line
The method we shall use here is the point slope method
Mathematically, that will be;
y-y1 = m(x-x1)
(x1,y1) = (6,12)
m = 2/3
y-12 = 2/3(x-6)
3(y-12) = 2(x-6)
3y-36 = 2x - 12
3y = 2x -12 + 36
3y = 2x + 24
In a chicken farm a diet is given, to gain weight, with a minimum composition of 15
units of a substance A and another 15 of a substance B.
There are only two classes of compounds on the market: type X with a composition of one
unit of A and 5 of B, and the other type, Y, with a composition of five units of A and one of B. The
price of type X is $ 10 and type Y is $ 30.
What quantities of each type must be purchased to cover the needs at a cost
minimum?
Step-by-step explanation:
id-9384026088
password-9999
What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
O (0, 0)
O (0,4)
X2+ ?x + 36
ayoooo i need helppp
Answer:
? = 12
Step-by-step explanation:
(x + 6)(x + 6)
= x^2 + 12x + 36
Which relation is not a function?
Hurry quick I’ll mark brainlyest now hurry
Answer:
B because the x value repeats
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
beacuse the 7 is on y and it changes whitch cant work
Find the value of x for each function when f(x) = 24
Answer:
x = 76
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{4}[/tex] x + 5 and f(x) = 24, then equate the right sides
[tex]\frac{1}{4}[/tex] x + 5 = 24 ( subtract 5 from both sides )
[tex]\frac{1}{4}[/tex] x = 19 ( multiply both sides by 4 to clear the fraction )
x = 76
If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible without going over?
Answer:
Approximately $14.20
Step-by-step explanation:
Let the cost of the groceries be represented by c, then;
cost price + VAT = c + (5% of c)
To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.
Let c = $14.20, then;
So that,
c + (5% of c) = 14.20 + (5% of 14.20)
= 14.20 + 0.71
= $14.91
Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.
Find the slope and y-intercept of the graph of 3y = 6x – 12.
The slope is
and the y-intercept is
Answer:y
=
2
x
−
y
Step-by-step explanation:
Diego is attending UTEP and has completed some courses worth 3 credits and some courses worth 4 credits. He has earned a total of 59 credits after completing 18 courses.
How many courses worth 4 credits has Diego completed?
Answer:
5
Step-by-step explanation:
5 courses worth 4 credits have Diego completed. Therefore, option B is the correct answer.
We need to find how many courses worth 4 credits has Diego completed.
What are systems of equations?In mathematics, a system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought common solutions. A system of equations can be classified in a similar manner as single equations.
Now, let the courses worth 3 credits be x and the courses worth 4 credits be y.
Now, in total Diego completed 18 courses
That is, x+y=18 ------(I)
Diego has earned a total of 59 credits
So, 3x+4y=59 ------(II)
Multiply the equation (I) by 3, that is 3x+3y=54 ------(III)
Now, subtract the equation (III) from (II) and simplify.
That is, 3x+4y-(3x+3y)=59-54
⇒y=5
Substitute y=5 in the equation (I) and simplify
That is, x=13
Therefore, 5 courses worth 4 credits have Diego completed.
To learn more about the system of equations visit:
https://brainly.com/question/21620502.
#SPJ6
Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
Answer:
60 hours
Step-by-step explanation:
We are given;
Initial amount: A_o = 64 mg
Half life; T_½ = 15 hours
Amount left: A = 4 mg
To get the time that 4 mg of Sodium-24 remain, we will use the formula;
A = A_o(½^(t/T_½))
Where t is the time that 4 mg of Sodium-24 remain.
Thus;
4 = 64 × ½^(t/15)
Divide both sides by 64 to get;
4/64 = 2^(t/15)
0.0625 = ½^(t/15)
In 0.0625 = (t/15) In 0.5
-2.7726 = (t/15) × -0.6931
t = (-2.7726 × 15)/-0.6931
t = 60 hours
What is the length of the unknown side of the right triangle? (1 point)
A) 21
B) 29
C) 400
D) 441
Answer:
The answer is a
Step-by-step explanation:
There is a word problem and idk how to do it here's the word problem [Kari is making copies at a local store of the program for her school play she makes 52 copies and the total is $6.24. How much did the store charge her per copy] this is in math
Answer:
Unitary cost per copy= $0.12
Step-by-step explanation:
Giving the following information:
Total number of copies= 52 copies
Total cost= $6.24
We need to calculate the unitary cost of each copy. To do that, we will use the following formula:
Unitary cost per copy= total cost / number of copies
Unitary cost per copy= 6.24/52
Unitary cost per copy= $0.12
Pls help me with this question give u brainliest pls it's urgent pls help
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• greatest common factor of 8 and 12
Answer:
Positive 4
Step-by-step explanation:
Factors for 8 => 1, 2, 4, 8
factors for 12 => 1, 2, 3, 4, 6, 12
the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.
Katarina earns $14.60/hour for regular hours of work. She is paid time and a
half for overtime work. What is her overtime rate of pay?
Answer:
$21.90
Step-by-step explanation:
You start by doing 14.60*1.5 because for overtime work is says she is paid time and a half. When you do the equation, you get $21.90.
Hope this helps!
Light shines through window what is the area of a trapezoid shaped region created by the light
Answer:
16 ft²
Step-by-step explanation:
The complete question is attached.
A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.
The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.
Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:
The area of a trapezoid = [(3 + 5)/2] * 4
The area of a trapezoid = 16 ft²
Answer:
Step-by-step explanation:
16
Help me solve this problem please
Answer:
6
Step-by-step explanation:
A factory produces 2 bottles of sparkling water for every 8 bottles of plain water. How many bottles of sparkling water does the company produce when it produces 600 bottles of plain water?
Answer:
150
Step-by-step explanation:
600/8*2
Find a slope of a line that passes through the points (-1,1) and (3,-1)
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-1/3-(-1)
m=-2/4
m=-1/2
30 in
18 in
b
What is the length of the missing leg?
b
inches
will give brainliest if its right
Answer:
answer D
Step-by-step explanation:
A and C have to be equal
B and D have to be equal
A+B+C+D have to equal 360
so, two equations
5y-3=x+3y
4x+5y-3+x+3y=360
4x=156
x=39
5y-3=9+3y
2y=42
y=21
Hope this helps plz hit the crown :D
change from word to standard form sixty-seven and five hundred thirteen thousandths
help !!!
A car gets 40 miles per gallon of gas. It travels for 5 hours at 60 miles
per hour. How many gallons of gas did it use? *
O 6.75 gallons
O 7.5 gallons
O 3.33 gallons
O 10 gallons
how many solutions does the quadratic have? 2x^2+3x-5
Answer:
2 solutions
Step-by-step explanation:
Given
2x² + 3x - 5 ( to solve the quadratic equate it to zero )
2x² + 3x - 5 = 0 ← in standard form
(2x + 5)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]
x - 1 = 0 ⇒ x = 1
The 2 solutions are x = - [tex]\frac{5}{2}[/tex] , x = 1
compare the graph of g(x)=6x−5 to the graph of f(x)=6x
a. g(x) shifted up 5 units
b. g(x) shifted down 5 units
c. g(x) is 6 units steeper
d. f(x) shifted down 5 units
Answer:
The answer is B choice.
Explanation:
Compare two graphs, the transformation of the graph is g(x) while f(x) is an original.
[tex]f(x) = 6x \\ g(x) = 6x -5[/tex]
For a linear function or line graph.
[tex]y = mx + b[/tex]
This means that the function y has the graph that shifts up b units.
[tex]y = mx - b[/tex]
While on the other hands, if the function y has -b as y-intercept. We can say that the function has the graph that shifts down b units.
Rather say that. If the constant term is positive, it shifts up and if the constant term is negative, it shifts down.
Back to the answer.
Comparing two graphs, from f(x) and g(x) —
We can say that function g shifts down 5 units from f(x) ^ Read the topic above before this ^
Thus, the answer is B.
Question: In history the Mongols are remembered as "savage ruthless barbarians." Is this representation accurate? Using the terms stereotype, xenophobia, or prejudice explain why this representation is or is not accurate. Write your response in a claim, evidence, reasoning paragraph with a focus on your concluding sentence. See rubric below for more details.
Answer:
Despite the stereotype of the Mongols, yes they were "savage ruthless barbarians."
Step-by-step explanation:
You need to write the rest yourself.
I WILL GIVE 15 POINTS FOR THE CORRECT ANSWER PLEASE I need help with my work
Answer:
1/since 4/5 in three munites i think e divide lang yong 4/5 in to 3.
Answer: A
Step-by-step explanation: 4/15
Estimate: 2.31 x 2.58 x 5.
Estimated Answer: 30
Work: Since 2.31 is below 2.50, I rounded is back down to 2. Since 2.58 is above 2.50, I rounded it up to 3, and Since 5 isn't a decimal, it stays at 5. So, the new "Estimated" multiplication problem is 2 x 3 x 5 = 30
Check: So, lets do the original equation. The answer is 29.799, which is very close, so (Check) I hope this helps, and Happy Holidays! :)
Answer:
IT'S 30
Step-by-step explanation:
= 30: 2X3X5 6X5 =30 This a little bit of step by step but.......
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. Five gallon of paint covers 1500 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool?
Answer:
2 cans
Step-by-step explanation:
Given that :
Radius of pool = 30 feets
Using the relation for the Area of a circle :
Area = pi*r^2
Thus,
Area of pool = 3.14 * 30^2
Area of pool = 3.14 * 900 = 2826feet²
Paints are sold in cans of 5 gallon
5 gallon of paint = 1500 feet²
Least number of 5 gallon can required :
2826 feet² / 1500 feet² = 1.884 cans
Hence,
Least number of 5 gallon can required = 2 cans
The ratio of boys to girls in a choir is 3 to 7 there are 35 girls in the choir how many members are in the choir
Answer:
50
Step-by-step explanation:
35/7= 5
5*10=50
Answer:
50 people in the choir
Step-by-step explanation:
we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.
Hope this helps! :)
(Also i know my explanation is rly bad just ignore it)
(4, -4) and (-8, -1)
This need to be put in slope intercept form and I need the steps thank you!
Answer:
y = [tex]\frac{-1}{4}[/tex]x - 3
Step-by-step explanation:
(4, -4) (-8, -1)
y = mx + b
equation for slop: [tex]\frac{y1 - y2}{x1 - x2}[/tex]
[tex]\frac{-4 + 1}{4 + 8}[/tex] = [tex]\frac{-3}{12}[/tex] = [tex]\frac{-1}{4}[/tex]
y = [tex]\frac{-1}{4}[/tex]x - 3
PLEASE HELP I WILL MARK BRAINLIEST ITS URGENNNTTTT!!!
Answer:
-6°C
Step-by-step explanation:
(-3) - 3 = -6