Answer:
y = 3x
Step-by-step explanation:
The standard format of a directly proportional equation goes by the format of y = k × x. The question asks us to write an equation if y = 75 when x = 25 and y varies directly with x.
So we substitute the values y = 75 and x = 25 in the equation y = k × x
K = constant, we have to work this out
75 = k × 25
75 ÷ 25 = k
k = 75 ÷ 25
k = 3
k = 3 So then we put this back into the original y = k × x to find our final equation which is y = 3x
juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring cup to get 6 cups of flour
Answer:
24
Step-by-step explanation:
1 time=1/4 cups
xtimes=6 cups
Cross multiply
6×1=x×1/4
6=x/4
Make x the subject of formula by cross multiplying
x=4×6
x=24
So the final answer is 24
A taxi charges a $3 initial fee,plus $1.50 per mile traveled.
What is the total cost of a 4.5- mile taxi trip?
A $9.00
B $9.50
C $9.75
D $10.00
Answer:
C
Step-by-step explanation:
$1.50 multiplied by 4.5 = 6.75
$6.75 plus $3 = $9.75
Answer:
$9.75
Step-by-step explanation:
1.50 per mile traveled
1.50 x 4.5 = 6.75
plus the additional fee of three dollars
6.75 + 3.00 = 9.75
Select the correct answer. What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}? A. {24, 18, 12, 6, 20} B. {6, 12, 18, 24, 30} C. {-12, -6, 0, 6, 12} D. {0, 6, 12, 18, 24}
so the right answer is of option D...
What is a difference between a rectangular prism and a cube?
Which is not equal to 400
Answer:
399
Step-by-step explanation:
The only expression that does not equal 400 is c. 500 - 200.
How to determine the expression that is not equal to 400From the question, we have the following parameters that can be used in our computation:
a. 2 * 200
b. 800/2
c. 500 - 200
d. 300 + 100
Evaluating each of the options, we have the following
a. 2 * 200 = 400
b. 800/2 = 400
c. 500 - 200 = 300
d. 300 + 100 = 400
Hence, the only option that does not equal 400 is c. 500 - 200.
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Question
Which is not equal to 400
a. 2 * 200
b. 800/2
c. 500 - 200
d. 300 + 100
Help plzz ASSAP
The function f(x) = 30x + 150 represents the total cost of a gym membership at Jon's Gym for x months plus a signup fee. Bella's Gym has a signup fee of $50 and charges $45 dollars per month. Which statement is true.
Select one
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Jon's Gym charges $15 more per month Bella's Gym
The signup fee at Jon's Gym is $15 more than the signup fee at Bella's Gym
Jon's Gym charges $100 more per month than Bella's Gym.
Answer: The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Step-by-step explanation:
Hi, to answer this question we have to write an equation for the cost of Bella's Gym
Jon's Gym: f(x) = 30x + 150
Bella's Gym has a signup fee of $50 and charges $45 dollars per month.
So, we have to multiply the number of months (x) by the cost per month, and add the signup fee cost (50).
Bella's Gym: f(x) = 45x+ 50
Since Jon's signup fee is 150 and Bella's signup fee is 50 , the difference of both costs is 100 (150-50=100), and since Jon's gym has the more expensive fee:
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Final answer:
The statement that the signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym is true.
Jon's Gym charges $30 per month while Bella's Gym charges $45 per month; thus, Jon's Gym charges $15 less, not more.
Explanation:
Comparing the costs of gym memberships at Jon's Gym and Bella's Gym requires analysis of the initial signup fees and the monthly rates. The function for Jon's Gym, f(x) = 30x + 150, indicates a signup fee of $150 and a monthly rate of $30. Bella's Gym has a signup fee of $50 and a monthly rate of $45. To determine the true statement, we compare these numbers directly:
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym ($150 - $50 = $100).The other statements provided in the question can be dismissed as false:
Jon's Gym does not charge $15 more per month than Bella's Gym; it charges $15 less per month.The signup fee at Jon's Gym is not $15 more than the signup fee at Bella's Gym; it is $100 more.Jon's Gym does not charge $100 more per month than Bella's Gym.Therefore, the correct statement is that The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym.
plz help me plz hurry What is the solution to the system of equations?
7 x minus 2 y = negative 24. 5 x + 5 y = 15.
Answer:
x=-2 y=5
Step-by-step explanation:
7x-2y=-24
5x+5y=15
35x-10y=-120
10x+10y=30
45x=-90
x=-2
-10+5y=15
5y=25
y=5
The solution of the equations is, x=-2 and y=5.
What is an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given expressions are solved as below:-
7x-2y=-24
5x+5y=15
35x-10y=-120
10x+10y=30
45x=-90
x=-2
The second equation is solved as below:-
-10+5y=15
5y=25
y=5
Hence, the solutions are x=-2 and y=5.
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Find the area of the shaded region
A. 1256
B. 425
C. 201
D. 531
E. 603
F. 249
(12m / 8m)
Answer:
A. 1256
Step-by-step explanation:
You have to find the radius of the shaded circle
So you can add 12 + 8 = 20
Or you can find the diameter of the two circles. The diameter of the first circle is 12 + 12 = 24 and the second circle is 8 + 8 = 16 + 20 + 40 is the diameter of the shaded circle. Since radius is half of diameter 40 ÷ 2 = 20
So now since you know the radius of the shaded circle you can find the area
A = πr²
A = 3.14 x 20²
A = 3.14 x 400
A = 1256
40x + 13 - 45x
The standard form is
What is the solution to the inequality -4(5/2+3/2x)>8?
A. x > -1/2
B. x < 1/3
C. x < -3
D. x > 3
Answer:
C
Step-by-step explanation:
Given
- 4([tex]\frac{5}{2}[/tex] + [tex]\frac{3}{2}[/tex] x) > 8 ← distribute parenthesis on left side
- 10 - 6x > 8 ( add 10 to both sides )
- 6x > 18
Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity
x < - 3 → C
Which of the following is(are) the solution(s) to | X+10 | = 3x-2?
Answer:
x = 6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
x = { 3, -2 }
Step-by-step explanation:
Let's actually find the solutions to | X+10 | = 3x - 2. Because of the absolute value operator this breaks down into two simpler problems:
1) x + 10 = 3x - 2, or 12 = 4x. Then x = 3
2) -(x + 10) = 3x - 2, or -x - 10 = 3x - 2, or -8 = 4x. Then x = -2
HELP ASAP
What are the square roots of 36 /100?
sqrt(36/100) = +-6/10
You find the square root of the numerator and the denominator.
What is a common binomial factor
Convert 0.85 to a percent.
Answer:
85%
Step-by-step explanation:
Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator. 0.85 × 100100.
= (0.85 × 100) × 1100 = 85100.
Write in percentage notation: 85%
Answer:
85%
Step-by-step explanation:
To convert a number to a percent, you need to multiply it by 100 and add a percent symbol to the end. 0.85*100=85%. Hope this helps!
The polynomial p(w) = 3w^3 - 20w^2 + 37w - 20 has a known factor of (w-4). Rewrite p(w) as a product of linear factors.
Answer:
(w - 4)(w - 1)(3w - 5)
Step-by-step explanation:
Using Synthetic division to find the quotient on dividing p(w) by (w - 4)
4 | 3 - 20 37 - 20
12 - 32 20
-----------------------------
3 - 8 5 0 ← remainder = 0
quotient = 3w² - 8w + 5 = (3w - 5)(w - 1)
p(w) = (w - 4)(w - 1)(3w - 5)
Write the order pair that represents YZ. Then find the magnitude of YZ. Y(5,4), Z (0,-3)
Answer:
Ordered pair of YZ is (-5,-7) and magnitude of YZ is 8.602
Step-by-step explanation:
Given data:
Two pairs Y (5,4) and Z (0, -3)
To find: ordered pair of YZ
YZ = Z - Y = (0-5, -3-4)
= (-5, -7)
Hence ordered pair of YZ is (-5,-7)
To find: magnitude of YZ.
Here Y and Z are initial and final points of vector. Magnitude of YZ is distance between points Y and Z. Distance formula is
Distance = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
magnitude of YZ = [tex]\sqrt{(0-5)^{2} + (-3-4)^{2} }[/tex]
= [tex]\sqrt{74}[/tex]
= 8.602
Another method:
magnitude of YZ = |YZ|
|YZ| = [tex]\sqrt{(-5)^{2} + (-7)^{2} }[/tex] ...............(since |xy| = [tex]\sqrt{(x)^{2} + (y)^{2} }[/tex]
= [tex]\sqrt{74}[/tex]
= 8.602
magnitude of YZ = 8.602
Answer:
D
Step-by-step explanation:
(-5,-7);√74 units
What’s the definition of the number i?
Answer:
B. i = √(−1)Step-by-step explanation:
When (i) is multiplied to itself it = -1
The number (i)is used for imaginary numbers.
Which expression is equivalent to sine StartFraction 7 pi Over 6 EndFraction?
Answer:
The answer is D: sin 11pi/6
<3
Step-by-step explanation:
The expression that is equivalent to the given expression is Sin(11π/6).
The given trigonometric expression is: [tex]Sin \frac{7\pi }{6}[/tex]
[tex]Sin\frac{7\pi }{6}[/tex] can be written as [tex]Sin(\pi +\frac{\pi }{6} )[/tex]
What is the value of Sin(π+θ)?The value of [tex]Sin(\pi +\theta)[/tex] is [tex]-Sin\theta[/tex].
So, [tex]Sin(\pi +\frac{\pi }{6} )=-Sin\frac{\pi }{6}[/tex]
We know that
[tex]Sin(2\pi -\theta)=-Sin\theta[/tex]
Or, [tex]-Sin\theta=Sin(2\pi -\theta)[/tex]
So, [tex]-Sin\frac{\pi }{6} =Sin(2\pi -\frac{\pi }{6} )[/tex]
[tex]-Sin\frac{\pi }{6} =Sin\frac{11\pi }{6}[/tex]
So, the required expression is [tex]Sin\frac{11\pi }{6}[/tex].
Therefore, the expression that is equivalent to the given expression is Sin(11π/6).
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Which equation can be used to find the length of side x?
The equation that can be used to find the length of side x is:
cos(25°) = x / 32.
The equation that can be used to find the length of side x is:
cos(25°) = x / 32
This equation is based on the trigonometric ratio tan, which is defined as
the opposite side over the adjacent side.
In this case, the opposite side is x and the adjacent side is 32.
We know the angle between these two sides is 25°, so we can use the
tan function to solve for x.
x = cos(25°) * 32
x = 14.65 cm
Therefore, the equation that can be used to find the length of side x is:
cos(25°) = x / 32
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Two hamburgers and three cokes cost $10.50. Four hamburgers and four cokes cost $18.00. Find the cost of a hamburger and a coke.
Answer: hamburger $3.00
Coke $1.50
Step-by-step explanation:
2hamburgers & 3cokes= $10.50
4hamburgers & 4cokes= $18.00
Let hamburger represent H
And coke represent C
2H +3C= 10.50.......equation 1
4H+4C= 18.00.......equation 2
2H =10.50 -3C...........equation 3
The 4H can be rewriting as
2(2H) right
So substitute for the 4H
So we have,
2(2H) +4C= 18
Substitute for 2H
2(10.50 -3C) +4C =18
Open the bracket
21 -6C +4C= 18
21-2C= 18
-2C = 18-21
-2C = -3
Minus cancel minus
C= 3/2 = $1.5
Substitute for c in equation 1
2H+3C =10.50
2H+3(1.5)= 10.50
2H+4.5=10.5
2H= 10.5-4.5
2H =6
H= 6/2
H=$3
So
An hamburger cost $3.00
A coke cost $1.50
Will give 20 points
Given the matrices:
What is the size of the product C = AB?
that is the answer for the first part what are the answers for the second part
Find the product of C = AB.
c11 =
c12 =
c21 =
c22 =
Answer:
Next frame (6) is C
Frame 7 is D then A
Frame 8 is D
Frame 9 is scalar, neither, matrix, matrix
Step-by-step explanation:
Doing the assignment rn :)
Answer:
C =AB
2 x 2
second part
c11=-1 c12=3 c21=3 c22=-3
third part
d11=0 d12=6 d21=1 d22=-4
Step-by-step explanation:
Correct on edge 2023
What is the value of x to the nearest whole number?
Answer:
65
Step-by-step explanation:
Use the formula: a²+b²=c²
63²=3969
16²=256
Add them = 4225 = c²
[tex]\sqrt{4225} = \sqrt{c^2}[/tex]
65 = c (or x in this case)
Answer:
17.96
Step-by-step explanation:
To find the hypotenuse we are will have to use Sine, since we are only given the degree and opposite leg. [tex]sin(degree)=\frac{Opposite}{Hypotenuse}[/tex]
[tex]sin(63)=\frac{16}{x}[/tex]
Let's cancel the x on the right side by multiplying both sides by x
sin(63)x = 16
Divide both sides by sin(63) [Or 0.866, depending on the type of calculator you have]
sin(63)x ÷ sin(63) = 16 ÷ sin(63)
x = 17.9572198
2. Below is a list of grades on
a math test. What is the
range of the scores?
Answer:
31
Step-by-step explanation:
The range can be found by subtracting the lowest number in the set from the highest, so one can conclude how large the gap in between the two is.
the lowest number her is 68 and the highest is 99
99-68=31
Answer:
31 is the range
Step-by-step explanation:
the range is the number between the highest data and the lowest data. You take your largest number in the data and subtract it from the highest.
Largest 99
smallest 68
99 - 68 = 31
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What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and
passes through the midpoints of the 10 cm edges?
centimeters by 18 centimeters
2
8
10
18
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
What is the domain of y = csc(x)?
The domain of y = cosec(x) includes all real numbers except for the integer multiples of [tex]\pi[/tex], where the sine function equals zero and the cosecant function is undefined.
The domain of a function is the set of all possible input values (usually x values) for which the function is defined. In the case of y = cosec(x), the cosecant function is the reciprocal of the sine function, meaning cosec(x) = 1/sin(x). Since the sine of an angle can be zero and division by zero is undefined, the domain of y = cosec(x) must exclude any x values where sin(x) = 0.
The sine function is zero at integer multiples of [tex]\pi[/tex], so the domain of cosec(x) is all real numbers except for integer multiples of [tex]\pi[/tex]
The diameter of a circle is 7 feet. Find the radius
Answer:
3.5 feet
Step-by-step explanation:
Diameter = 7 feet
Radius = Diameter × [tex]\frac{1}{2}[/tex]
Radius = [tex]\frac{7}{2}[/tex] = 3.5 feet
Please help me...
What is the function that matches the description.
A sine function whose amplitude is 5 and Period is 12.
Answer:
Last one
Step-by-step explanation:
f(x) = Asin(Bx) + C
C = 0
A = 5
B = 2pi/12 = pi/6
f(x) = 5 sin[(pi/6)x]
Madi is 5 times as old as Brecken. In 12 years, she will be twice as old as he will be then. How old are they now?
Madi is 4 and Bracken is 20.
In 12 years Madi will be 16 and bracken will be 32 which is twice the age of Madi.
All of the following proportions are equivalent except
b/a=d/c
a/b=cid
a/c=b/d
a/d=c/b
A diagram of a small shed is shown below, find the volume of the composite figure. 3m 6m 5m 5m 8m
Answer:
27
Step-by-step explanation: