Answer:
Equation: y = 0.4x
y = 2.4
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant
Plug in x and y:
y = kx
10 = k(25)
Solve for k:
0.4 = k
So, the equation is y = 0.4x
Then, use this equation to find y when x = 6:
y = 0.4x
y = 0.4(6)
y = 2.4
A direct proportion is a proportion such that the ratio between both variables remains constant thus the given proportion will be y = 04x and the value of y at x = 6 will be 2.4.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
a)
Let's say the direct proportion as,
y = kx
Given that y = 10 when x = 25.
10 = k(25)
Solve for k,
0.4 = k
Therefore, the equation will be y = 0.4x
y = 0.4x
b)
The value of y when x = 6
y = 0.4(6)
y = 2.4
For more information about ratios and proportions,
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(a) 12 is 15% of what?
The pottery store can make 176 coffee mugs in an 8 hour day. How many mugs can they make in one hour
Watch your units!
Answer:
22 per hour
Step-by-step explanation:
8 divided by 176 lol Hope I did it right tho ;-;
Answer:
they can make 22 in one hour.
Find a formula for the general term or of the sequence assuming the pattern of the first few terms
continues.
{14, 19, 24, 29, 34, ...}
Assume the first term is a1.
an=?
Answer:5n+6
Step-by-step explanation :an=a1+d(n-1)
=1+(-5)(n-1) or 1+-5n+5
an=-5n+6
plz answer it as fast as you can
Answer:JL=MO
Source:trust me bro
If two lines are perpendicular, their slopes are negative reciprocals.
A. True
B.False
HELP^^^ ITS 7TH GRADE MATH
Answer:
13
Step-by-step explanation:
count outside lines
Answer:
Perimeter: 13
27.1018494699 round to nearest hundred-thousandth
Answer:
27.101
Step-by-step explanation:
The population of a city is estimated to decline according to the model P(t)=197000e^-0.014t, where t is the number of years present. What does the model predict the population will be in 13 years?
Don’t understand pls help
Answer:
-1.5x + 3
Step-by-step explanation:
The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:
Please explain how to do it so I can learn it
Simplify the following polynomial expression (8x^2-7x+2)+(3x^2-9x-6) help fasttt!!!!!!!!!!!!!
Answer:
11x^2 - 16x +4
Step-by-step explanation:
In order to simplify, add like terms
(8x^2-7x+2)+(3x^2-9x-6)
8x^2 + 3x^2 = 11x^2
-7x + -9x = -16x
-6 + 2 = 4
now the equation is 11x^2 - 16x +4
Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0
Answer:
x = -14, 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Completing the SquareMultiple Roots/SolutionsStep-by-step explanation:
Step 1: Define
(x + 7)² - 49 = 0
Step 2: Solve for x
Add 49 to both sides: (x + 7)² = 49Square root both sides: x + 7 = ±7Subtract 7 on both sides: x = -7 ± 7Evaluate: x = -14, 0Step 3: Check
Plug in x values into original equation to verify they are a solution.
x = -14
Substitute in x: (-14 + 7)² - 49 = 0Add: (-7)² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = -14 is a solution of the equation
x = 0
Substitute in x: (0 + 7)² - 49 = 0Add: 7² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = 0 is also a solution of the equation.
Answer:
Lesser x=-14 Greater x=0
Step-by-step explanation:
x+7)
2
−49
(x+7)
2
(x+7)
2
=0
=49
=
49
Hint #22 / 3
\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}
x+7
x
(x+7)
2
−49
x=−14
=±7
=±7−7
or x=0
Identify the vertex of
y = 2x2 − 4x − 2
vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
In triangle ABC, angle A is 35 and angle b is 20 select all triangle which are similar to triangle ABC.
Answer:
The similar one are 1 and 5
A. Triangle DEF where ∠D is 35° and ∠E is 20°.
C. Triangle JKL where ∠J is 35° and ∠L is 125°.
D. Triangle MNO where ∠N is 20° and ∠O is 125°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles of a triangle is equal to 180°.
Given, A triangle ABC has ∠A = 35° and ∠B = 20°.
∴ ∠C = 180° - 35° - 20°.
∠C = 125°.
Triangle will be similar if every corresponding angle of different triangles has the same measure.
So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20°.
Triangle JKL where ∠J is 35° and ∠L is 125°.
Triangle MNO where ∠N is 20° and ∠O is 125°.
learn more about triangles here :
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A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J, K, L, M, N, O, P, Q, R, S, and T). How many di erent choices of ocers are possible if: (a) There are no restrictions
Answer:
There are 220 choices
Step-by-step explanation:
Given
[tex]People = 12[/tex]
[tex]Selection =3[/tex] (President, Treasurer and Secretary)
Required
Determine number of selection (if no restriction)
This is calculated using the following combination formula:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
Where
[tex]n = 12[/tex]
[tex]r= 3[/tex]
So, we have:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
[tex]^{12}C_3 = \frac{12!}{(12 - 3)!3!}[/tex]
[tex]^{12}C_3 = \frac{12!}{9!3!}[/tex]
[tex]^{12}C_3 = \frac{12*11*10*9!}{9!3!}[/tex]
[tex]^{12}C_3 = \frac{12*11*10}{3!}[/tex]
[tex]^{12}C_3 = \frac{12*11*10}{3*2*1}[/tex]
[tex]^{12}C_3 = \frac{12*11*10}{6}[/tex]
[tex]^{12}C_3 = 2*11*10[/tex]
[tex]^{12}C_3 = 220\ ways[/tex]
There are 220 choices
What is the slope and the y-intercept of the line on the graph below?
b=
m=
Write an equation for this line in slope-
intercept form (y=mx+b).
Answer:
b=1
m=1/4
y=1/4x+1
Step-by-step explanation:
m is the slope, b is the y-intercept
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
eye blue like the Atlantic and im going down like the Titanic
Answer:
how is this a question
Step-by-step explanation:
A ball is thrown from a height of 130 feet with an initial downward velocity of 6ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=130-6t-16t^2
How long after the ball is thrown does it hit the ground?
See attachment for math work.
1. if $2,500 is invested into an account that pays 4% interest compounded monthly how long will it take for the investment to double?
2. find the average rate of change of f(x)= x^2 +2x+1 evaluated at x=1+a and x=1
Answer:
SORRYYYYYYY!!!!!!!!!!!
150 pounds to 135 pounds
Answer:
15 pounds
Step-by-step explanation:
150-135
Answer:
15 pounds
Step-by-step explanation:
Help me fast pleaseeeee
Answer:
y=-2x-2
Step-by-step explanation:
Find slope and y intercept
can any one help me with this please ?this is worth 82 points
Answer:
1. YZX
2. XYZ
3. ZXY
4. EDF
5. MLN
6. FED
7. DFE
8. MNL
9. LMN
1 was flipped (reflected).
2 was slid (translated).
3 was slid (translated).
4 was rotated 180 degrees clockwise.
5 was flipped and rotated.
6 was flipped and rotated.
7, 8, 9 were translated.
You're baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake?
Answer: .12 grams of butter per cupcake
Step-by-step explanation:
1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.
write an equation that reflects this relationship using X to represent the amount of grams in fish and y to represent the number of calories
Answer:
[tex] y = \frac{3}{2}x [/tex]
Step-by-step explanation:
The graph shows there is a proportional relationship between amount of grams of fish (x) and number of calories (y).
A original relationship can be represented by An equation as [tex] y = kx [/tex], where, k = constant of proportionality (y/x).
The constant of proportionality using any point, let's say (200, 300), would be:
k = y/x = 300/200 = ³/2
Plug in the value of k into [tex] y = kx [/tex].
Thus, the equation that reflects the relationship would be:
[tex] y = \frac{3}{2}x [/tex]
The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x) and this can be determined by using the point-slope form of a line.
Given :
A graph where the x-axis represents the number of fish in grams and the y-axis represents the number of calories.Points - (100,150) and (200,300)The point-slope form can be used to determine the equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.
The point-slope form is given by the equation:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex] ----- (1)
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, put the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the equation (1).
[tex]\dfrac{y-150}{x-100}=\dfrac{300-150}{200-100}[/tex]
[tex]2(y-150)=3(x-100)[/tex]
2y - 300 = 3x - 300
2y - 3x = 0
2y = 3x
The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x).
For more information, refer to the link given below:
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Below are the test scores of nine students on the math test:
50, 50, 50, 50, 51, 89, 90, 90, 90
What is the mean absolute deviation of the test scores? (round to the nearest thousandth)
Answer:
The mean absolute deviation is 19.5
Step-by-step explanation:
Hope this helps!
add then simplify if possible 1/2 + 2/5
Answer:
9/10 and it can't be simplified
Step-by-step explanation:
BRAINLIEST PLEASE
Answer:
9/10
Step-by-step explanation:
1/2 = 5/10
2/5 = 4/10
5/10+4/10= 9/10
I need help!
Which of the following has a graph that is a straight line?
a. y^2 = x - 1
b. y = 2x^2 + 4
c. y = 2x + 7
d. y = 3x^3
Please help me ASAP
How many pavers are needed to cover the patio?
Answer:
270
Step-by-step explanation:
✔️Area of the Patio = bh
b = 12 ft = 144 in.
h = 10 ft = 120 in.
Area of Patio = 144*120 = 17,280 in.²
✔️Area of Brick Paver = bh
b = 8 in
h = 8 in
Area of the Brick Paver = 8*8 = 64 in.²
The number of quaver needed to cover the Patio = area of Patio ÷ area of one brick quaver
= 17,280/64 = 270
Which Shape is NOT quadrilateral
Answer:
the pentagon (3rd one)
Step-by-step explanation:
definition of a quadrilateral literally means a shape with 4 sides