Answers
Answer:
7 units
Step-by-step explanation:
Forming an equation:
There is a one-time signup fee. Let that be represented by "a".
Then, there's also a weekly fee. Let that be represented by "b", i.e., the fee for one week is "b" units.
==> If she goes to the gym for x weeks, then her total weekly fee will be "b" times "x" units.
If we represent her total cost after membership by "y", our equation becomes:
[tex] \boxed{ \sf{y = a + bx}}[/tex]
We're provided with three values of x and y.
When x = 6, y = 133When x = 12, y = 175When x = 24, y = 259The solution to the equation:
Substitute the respective values of x and y into the equation.
#1
133 = a + 6b
==> a = 133 - 6b
#2
175 = a + 12b
Since we only need the values of two variables we'll use only two equations.
Substituting from #1 for a:
175 = (133 - 6b) + 12b
==> 175 = 133 + 6b
==> 175 - 133 = 6b
==> 42 = 6b
==> b = 7
And b is the amount she pays each week.
So, the answer is 7 units.
Related Questions
pls help only if ur sure of the answer!
Answers
Answer:
C
Step-by-step explanation:
[tex]12000 \times {1.05}^{4} = 14586[/tex]
What is the area of the triangle below
Answers
In a right triangle, sin (3x+5)^\circ(3x+5) = cos (8x+9)^\circ(8x+9) Solve for x. Round your answer to the nearest hundredth if necessary.
Answers
Right triangles are triangles with a measure of 90 degrees
The value of x is 76/11
How to calculate x in the triangleThe equation is given as:
sin (3x+5) = cos (8x+9)
To solve for x, we make use of the following theorem
If sin(A) = cos(B), then
A + b = 90
So, we have:
3x + 5 + 8x + 9 = 90
Collect like terms
3x + 8x = 90 - 5 - 9
Evaluate the like terms
11x = 76
Divide both sides by 11
x = 76/11
Hence, the value of x is 76/11
Read more about right triangles at:
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This is the same dilation that you used in Question 3.
What scale factor was used to create the dilated Triangle M'S'V'?
In your answer, give the scale factor that was used and explain how you
calculated it.
Answers
Answer:
k = 2/3Step-by-step explanation:
Find the length of two corresponding sides.
MS = 6 - (-3) = 9 unitsM'S' = 4 - (-2) = 6 unitsThe scale factor is the ratio of corresponding sides:
k = M'S'/MS = 6/9 = 2/3Answer:
k = 2/3
Step-by-step explanation:
Simplify this expression
10a + 6x-2a-3x
Answers
Answer:
[tex]3x+8a[/tex]
Step-by-step explanation:
Given the following question:
[tex]10a+6x-2a-3x[/tex]
In order to find the answer, we combine like terms and then simplify.
[tex]10a+6x-2a-3x[/tex]
[tex]=6x-3x+10a-2a[/tex]
[tex]6x-3x=3x[/tex]
[tex]10a-2a=8a[/tex]
[tex]=3x+8a[/tex]
[tex]3x+8a[/tex]
Hope this helps.
Griffin’s General Store is having a 30% off sale on fans. Robert paid $24. 50 for a fan that was on sale. What is the original price of the fan?.
Answers
Step-by-step explanation:
Since Griffin’s General Store is having a 30% off sale on fans, it simply means that fans are paying for (100%-30%)= 70%.
Let the original price be x;
Therefore, 70% of x equal to $25;
70/100x = 25
0.7x = 25
x = 35. 71
(There ya go)
Consider directed line segment PQ. Point P is located at (-10,3). Point R, which is on segment PQ and divides segment PQ into a ratio of PR:RQ = 2:3, is located at (4,7). What are the coordinates of point Q?
Answers
[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,3)\qquad Q(a,b)\qquad \qquad \stackrel{\textit{ratio from P to Q}}{2:3} \\\\\\ \cfrac{P\underline{R}}{\underline{R} Q} = \cfrac{2}{3}\implies \cfrac{P}{Q} = \cfrac{2}{3}\implies 3P=2Q\implies 3(-10,3)=2(a,b)[/tex]
[tex](\stackrel{x}{-30}~~,~~ \stackrel{y}{9})=(\stackrel{x}{2a}~~,~~ \stackrel{y}{2b}) \\\\\\ R=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-30+2a}}{2+3}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{9+2b}}{2+3} \right)}~~ = ~~\stackrel{\textit{and we know that is}}{(4~~,~~7)} \\\\[-0.35em] ~\dotfill[/tex][tex]\cfrac{-30+2a}{5}~~ = ~~4\implies -30+2a=20\implies 2a=50\implies a=\cfrac{50}{2}\implies \boxed{a=25} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9+2b}{5}~~ = ~~7\implies 9+2b=35\implies 2b=26\implies b=\cfrac{26}{2}\implies \boxed{b=13}[/tex]
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The coordinates of the point Q are (25,13).
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Let the coordinates of the point Q be represented by Q(a,b).
Given the Ratio from P to Q is 2:3.
The internal division of the line segment using the ratios will be,
PR/RQ = 2/3
3P = 2Q
3(-10, 3) = 2(a, b)
Now, the coordinates of R can be rewritten as,
[tex]R = (\dfrac{-30+2a}{2+3},\ \dfrac{9+2b}{2+3}) = (4,7)[/tex]
Comparing the coordinates,
(-30+2a)/(2+3) = 4
a = 25
(9+2b)/(2+3) = 7
b = 13
Hence, the coordinates of the point Q are (25,13).
Learn more about Coordinates:
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What are the sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60°?
Answers
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
The sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60° are 6√3 and 4√3.
What is a Hypotenuse?This is defined as the longest side of a right-angled triangle and is opposite to the right angle.
The ratios of the sides of a 30/60/90 triangle are x, x√3, 2x (short leg, long leg, hyp). We can infer that the long leg is 6 'units' which is
6 = x√3
x = 6√3.
The hypotenuse is 2x then the hypotenuse is 2(6√3)
= 12√3 when rationalized
= 12√3/3 = 4√3.
Read more about Right angle triangle here https://brainly.com/question/18452950
A parallelogram's area is given by the expression 4x2 2x 6. The height of the parallelogram is 2x2. Which expression represents the base of the parallelogram? 2 x 2 2 2 x.
Answers
Answer:
The answer is B!!HOPE THIS HELPS :)
Step-by-step explanation:
I just guessed it and its right :)
Answer:
b
Step-by-step explanation:
help!?!?!?!?!?!!?!?!?!?!?!
Answers
you took time typing help that you forgot your Question :D
Find the value of x in the figure.
Answers
Answer:
145
Step-by-step explanation:
Complete the table.
Original Price: Percent of discount: Sell Price:
? 25% $40
PLEASE HELP FASTT 100 points
Answers
Answer:
you saved $10.00
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 40 × 25/100
Discount = 40 x 0.25
Answer:
10
Step-by-step explanation:
What is 25% of 40?
Y is 25% of 40
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 25% * 40
Converting percent to decimal:
p = 25%/100 = 0.25
Y = 0.25 * 40
Y = 10
What is the value of p in this proportion?
56p=2312
Enter your answer as a simplified fraction in the box.
p =
Answers
Answer:
41 28571/100000
Step-by-step explanation:
56p = 2312
We rewrite this expression into this:
p = 2312/56 ≈ 41.286
Q11. Helen invested £6000 for n years in a savings account. She got 3% compound interest each year. At the end of n years Helen had £7379.24 in her savings account. Work out the value of n. You must show your working.
Answers
Answer: 100/103, 184481/150000
Step-by-step explanation:
Choose the expression that represents "the
product of a number and five is two less than the
number."
x/5 = 2-X
5x = 2 x
5x = x-2
x/5 = X-2
Answers
Answer:
5x = x - 2
Step-by-step explanation:
"And" means to multiply, so 5 × (x)
two less than a number is "X - 2"
I hope this helps!
Find the measure of ∠CBE: A line containing points A, B, and E intersects with a line containing points C, B, and D at point B. Angle ABD is 30 degrees: A. 30° B. 60° C. 90° D. 150°
Answers
Answer:
the answer is always c trusttt
100 Points!!!
The table shows the number of calories in different numbers of apples.
Number of apples 3 5 8
Number of calories 195 325 520
How many calories are in 9 apples?
Answers
Answer:
585 calories are in 9 apples
Step-by-step explanation:
Number of apples : 3 || 5 || 8
Number of calories: 195 || 325 || 520
Find the unit rate:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{325-195}{5-3}[/tex]
[tex]\frac{130}{2}[/tex]
[tex]65[/tex]
Find equation:
y - 325 = 65( x -5)
y = 65x - 325 +325
y = 65x .....this is the equation to find any number of calories.
put x as 9 here:
y = 65x
y = 65(9)
y = 585 calories
Sasha likes to run on a track that is 58 of a mile. If she runs 7 laps. How many miles did she run? 758 678 548 438
Answers
Answer:
4 miles
Step-by-step explanation:
4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps
7 x 0.58=4.06 which is 4 miles
Have a good day :}
Please help me!!!!!!!!
Answers
Step-by-step explanation:
Let's turn each mixed fraction into an improper fraction.
[tex]1 \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} [/tex]
[tex]2 \frac{1}{5} = \frac{5}{5} + \frac{5}{5} + \frac{1}{5} = \frac{11}{5} [/tex]
We'll use 11/5 twice.
Multiply:
[tex] \frac{5}{4} \times \frac{11}{5} = \frac{55}{20} [/tex]
[tex] \frac{55}{20} = \frac{20}{20} + \frac{20}{20} + \frac{15}{20} = 2 \frac{15 \div 5}{20 \div 5} = 2 \frac{3}{4} [/tex]
Multiply the Second problem:
[tex]\frac{5}{6}\times\frac{11}{5}=\frac{55}{30}[/tex]
[tex]\frac{55}{30} =\frac{30}{30} +\frac{25}{30}= 1 \frac{25 \div 5}{30 \div 5} = 1 \frac{5}{6}[/tex]
Compare:
[tex]2 \frac{3}{4} > 1\frac{5}{6} [/tex]
2 3/4 is greater, we can identify this a few ways:
Decimals, 2 3/4 equals 2.75 while 1 5/6 equals 1.83Whole numbers, 2 is greater than 1.Improper fractions, 2 3/4 as an improper fraction is 11/4 while 1 5/6 as an improper fraction is 11/6.Therefore, your answer is >
4. Solve the following equation: 6x + 12 = 4x - 8
Answers
Answer:
-10 is the correct answer
Step-by-step explanation:
hope this helps
Answer:
-10
Because I worked it out on paper
Evaluate x + y + z for x = 2, y = -3, z = -4.
Answers
Hey there!
x + y + x
= 2 + (-3) + (-4)
= 2 - 3 - 4
= -1 - 4
= -5
Therefore, your answer is: -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
the area of rectangle is 18cm².its length is double than of its breath find its length and breadth
find its perimeter
Answers
Answer:
length = 6 cm, breadth = 3 cm, perimeter 18 cm
Step-by-step explanation:
Let the breadth be x,
Then the length will be 2x
area of rectangle = length * breadth
using the formula:
(2x * x) = 182x² = 18x² = 9 x = √9x = 3The breadth is 3 cm
Length:
2x2(3)6 cmperimeter of rectangle:
2( length + breadth )2( 3 + 6 )2(9)18 cmFor more length, area, width questions:
https://brainly.com/question/26671255
Answer:
Step-by-step explanation:
Let the breadth = x cm
Length = 2x
2x *x = 18
x² = 18/2
x² =9
x = √9
x = 3 cm
Breadth = 3 cm
Length = 2*3 = 6 cm
Perimeter = 2*(length + breadth)
=2*(3+6)
= 2*9
Perimeter = 18 cm
how do I put (-3,2) and (-2,-3) in slope formula
Answers
The slope formula is
(y2-y1)/(x2-x1)
In the point (-3,2),
-3 is x and 2 is y
y2 represents the second y point, and y1 represents the first y point
same for x
so, its
(-3-2)/(-2-(-3))=
-5/1=
-5
the answer for it what is it
Answers
Answer:
1.378 approximately 1.38
Step-by-step explanation:
we're looking for x which is the opposite in the diagram we've been given the hypotenuse in the question as 1.8
so we use sin = opp/hypotenuse
sin50= x/1.8
x = sin50× 1.8
x= 1.378
approximately 1.38
Order the following numbers from greatest (on top) to least (on bottom). Click on the arrows and drag to move the numbers around.
1 1.
-2/8
-3/7
-0.2
Answers
Explanation:
You need to change the fractions to a decimal so you can compare them.
-0.2=-0.2
-2/8=-0.25
-3/7 ≈-0.43
Find the value of x. KU = 3x + 3 UM = 4x - 4
Answers
The value of x in the given parallelogram is: x = 7.
What is the Diagonal of a Parallelogram?A parallelogram has two congruent diagonals that bisect each other into equal segments.
Thus:
KU = Um
Substitute
3x + 3 = 4x - 4
Combine like terms
3x - 4x = -3 - 4
-x = -7
x = 7
Therefore, the value of x in the given parallelogram is: x = 7.
Learn more about parallelogram on:
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The point M(
–
4,
–
6) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, M'?
will mark branliest
Answers
Answer:
M' (- 6, 4 )
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ) , then
M (- 4, - 6 ) → M' (- 6, 4 )
Evaluate 65 - 3 x [ ( 28 - 8 ) / ( 24 / 6 ) ]
Answers
Answer:
65 − 15x
Step-by-step explanation:
Answer:
50Step-by-step explanation:
65 - 3 × [ ( 28 - 8 ) / ( 24 / 6 ) ] = 65 - 3 × (20/4) = 65 - 3 × 5 = 65 - 15 = 50Diamond started the day with $280 in her bank account. She purchased 14 books that were all the same price. After she left the store, she had -$20 in her account. How much did each book cost? (Round your answer to the nearest hundredths place)
Answers
Answer:
21.43
Step-by-step explanation:
280+20=300=total spent
300÷14=21.4285714
21.4285714 to the nearest hundredths place= 21.43
Which property will we need to use to solve the equation?
x - 10 = 5
Answers
Answer:
Addition Property of Equality
Step-by-step explanation:
To solve this equation, we need to use the Addition Property of Equality because we need to add 10 to both sides to isolate x...
x-10=5
x-10+10=5+10
x=15