Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Sidney wants to take group fitness classes at a nearby gym, but needs to start by selecting a
membership plan. With the first membership plan, Sidney can pay $36 per month, plus $2 for
each group class she attends. Alternately, she can get the second membership plan and pay
$35 per month plus $3 per class. If Sidney attends a certain number of classes in a month,
the two membership plans end up costing the same total amount. How many classes per
month is that? What is that total amount?
If Sidney attends
Submit
classes per month, each membership plan costs $
Answers
The system of equation to describe the situation below is x= 1.
What is equation?
an equation is a formula that is to expresses the equality of two expressions, by the connecting them with in the equals sign.
The process of equting one thing with another is called the equation of science with objective.
Sol- Based on the given condition-
The formulate is- 36+2x=35+3x
Rearrange variables to the left side of the equation
2x-3x=35-36
Combine like terms
-x= 35-36
Calculate the sum or difference
-x=-1
Devide both side of the equation by the coefficient of variable we get
X=1
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Related Questions
Express the shaded part of the model using decimals and percents.
<
Decimal:
Percent
. 13
0.13
1: 1.3
22 0.0013
0.013
3 1.3%
= 13%
3 130%
13%
1
2
3
4
Next
Answers
Percent : 0.13
IT'S OK IF YOU DON'T ANSWER ALL OF THEM, JUST PLEASE HELP ME!!! I'M GIVING 100 POINTS!!!
4.
a + b + c = what when a = 8, b = 11, c = -13 ?
5.
Which of the following equations is equivalent to 28 – 6 = 22?
22 + 6 = 28
22 ∙ 6 = 28
28 + 22 = 6
22 – 6 = 28
6.
What is the multiplicative inverse of 8?
0.08
-1/8
1/8
-8
7.
If \(\frac{z}{y}=x\) , which of the following statements is true?
y · x = z
z - y = x
z - x = y
\(\frac{x}{z}=y\)
Answers
Answer:
4. Ans =6
5.Ans =B
6. Ans= C
7. Ans = A
You want to compare the numbers of hours spent on recreation each week by teachers and non-teachers in your state. You take 100 random samples of 15 teachers and 100 random samples of 15 non-teachers throughout the state and record the median value of each sample. The double box-and-whisker plot shows the distributions of sample medians. Are the samples likely to be representative of all teachers and non-teachers in your state?
Answers
Yes, the samples are likely to be representative of all teachers and non-teachers in the state.
Statistical measure of central tendencyThe median, in similarity with the mean is a statistical measure of central tendency.
Since, the double box-and-whisker plot shows the distribution of sample medians, it follows that the samples are likely to be representative of all teachers and non-teachers.
Read more on central tendency measure;
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find the area enclosed by the curve x = t2 − 3t, y = t and the y-axis.
Answers
The area under the curve is \(\frac{6 \sqrt{3}}{5}\).
Consider the following parametric equations:\($$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$\)
The objective is to find area enclosed by the curve using the formula.
The area under the curve is given by parametric equations x=f(t), y=g(t), and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:
\($$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$\)
The curve has intersects with y-axis. so x=0
\($$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$\)
Now we have to draw the graph,
Let f(t)=\(t^2-3 t, g(t)=\sqrt{t}$\)
Differentiate the curve f(t) with respect to t.
\(f^{\prime}(t)=2 t-3\)
Now, find the area under the curve use the above formula.
\(\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$\)
\(& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right]\)
\($\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}\)
Therefore, the area of the curve is \(\frac{6 \sqrt{3}}{5}\).
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Round 64.87 to the nearest tenth.
Answers
Answer:
64.9
Step-by-step explanation:
Since 7 is equal to or above 5 it will add +1 to the 8
Answer:
64.87 rounded to the nearest tenth is 64.9 since it is past 5 :)
Step-by-step explanation:
The area of a rectangle is x^2-3x-18.What are the dimensions?
Answers
Factor the trinomial to find a possible combination of dimentions that the rectangle could have:
\(x^2-3x-18\)To factor the trinomial, remember that the following product of binomials is equal to:
\((x+a)(x+b)=x^2+(a+b)x+ab\)Then, we need to find two numbers a and b such that their product is equal to the constant term -18 and their sum is equal to the linear coefficient -3.
Since the product is negative, one number is negative and the other is positive.
Since the sum is negative, the greatest number is negative.
Two numbers whose difference is 3 and whose product is 18 are 6 and 3.
Notice that:
\(\begin{gathered} -6+3=-3 \\ (-6)(3)=-18 \end{gathered}\)Then:
\(x^2-3x-18=(x-6)(x+3)\)Therefore, the dimensions of the rectangle, are:
\((x-6)\text{ and }(x+3)\)-4d > 8 and 2d > -6 and graph
Answers
Answer:
Step-by-step explanation:
We can add like terms. Like terms are when the variables are alike, so you can add them to get a simpler form of your expression.equation.
4d and 2d are like terms, therefore, we can add them.
6d+6 is what we are left with.
Our final answer: 6d+6 is equivalent to 4d+6+2d
Answer:
Step-by-step explanation:
Can you help with this problem
Answers
Answer:
The value of w is 3.
Step-by-step explanation:
Parallelograms have equal opposite side measures.
so,
6w = w +15
6w - w = 15
5w = 15
w = 3
Answer:
w=3
Step-by-step explanation:
The opposite arms of parallelogram are equal
So the equation is
6w=w+15
=>6w-w=15
=>5w=15
=>w=15/5
Therefore
w=3
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Which shapes from the Clade Race would be considered plesiomorphic?a. Circle b. Heart c. Square d. Arrowe. Cross f. Moon g. Star h. Triangle i. Hexagon
Answers
Amongst the options circle shape from the Clade Race would be considered plesiomorphic.
A primitive or ancestral character state is called plesiomorphy or known as a plesiomorphic character), and a shared plesiomorphy is called a symplesiomorphy. For example, let us take an example of hair. It is a unique mammalian character that evolved with the evolution of mammals.
The term apomorphy means a specialized or derived character state which is plesiomorphy. It refers to a primitive or ancestral trait. An same as autapomorphy, it is a derived trait that is unique to one group, while a same as synapomorphy is a derived trait shared by two or more groups.
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finally, since sin() < 0, you can write cot() in terms of cos().T/F
Answers
False. The statement is not true in general. The sign of sin() or cos() depends on the quadrant in which the angle lies.
For example, in the first quadrant, both sin() and cos() are positive, while in the second quadrant, sin() is positive and cos() is negative. In the third quadrant, both sin() and cos() are negative, while in the fourth quadrant, sin() is negative and cos() is positive.
Therefore, we cannot say for certain whether sin() is negative without knowing the quadrant of the angle. Similarly, we cannot say for certain whether cos() is positive or negative without knowing the quadrant of the angle.
However, if we know the quadrant of the angle and the sign of either sin() or cos(), we can determine the sign of the other trigonometric functions (such as cot()) using the appropriate trigonometric identity. For example, if we know that the angle lies in the second quadrant and sin() is positive, then we can use the identity \(cos^2() + sin^2() = 1\) to find that cos() is negative, and then use the identity cot() = cos() / sin() to find that cot() is negative.\(cos^2() + sin^2() = 1\)
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please help i have test tmrw
Answers
Answer:
170 ft²
Step-by-step explanation:
4ft = 48 in
You then multiply 48 by each given side.
48 in · 4.25in = 204 in
Divide by 12 to get answer in feet.
204 in ÷ 12 = 17
So the actual length of the side labeled 4.25 in is 17 ft.
48 · 2.5 = 120
Divide by 12 to get the answer in feet.
120 ÷ 12 = 10
The actual length of the side labeled 2.5in is 10 ft.
Area= L x W
Area= 17ft · 10ft = 170 ft²
The car will use how much
gallons of gas to travel 1,155 miles
Answers
Answer: It will travel for 38.5 to 57.75 miles
Step-by-step explanation:
1) One gallon of gas will travel for at least 20-30 miles
Where 1155 miles will use 38.5 gallons or 58 gallons of gas
If its helpful please like thank you
Please help I will give brainliest
Answers
Answer:
1. ∠YZX = 37°
2. ∠YXZ = 53°
3. XZ = 30 meters
Step-by-step explanation:
1. To solve for an unknown angle, we need to utilize the inverse of a trigonometric function.
⭐What are the inverses of the trigonometric functions?
\(sin^-1 (opposite/hypotenuse)\)\(cos^-1 (adjacent/hypotenuse)\)\(tan^-1(opposite/adjacent)\)To know which inverse of the trigonometric functions we use, we have to see the type of side lengths we are given (opposite, adjacent, or hypotenuse)
We are given side length XY, which is opposite of ∠YZX, and we are given side length YZ, which is adjacent to ∠YZX. Therefore, we will use \(tan^-1 (opposite/adjacent) =\)
Substitute the values we are given into the function:
\(tan^-1 (18/24) =\)
Compute this equation using a scientific calculator. I recommend using the Desmos Scientific Calculator:
\(= 37\)
∴ ∠YZX = 37°
2. We already know 2 angles (∠YZX = 37°, and ∠ZYX = 90°) Therefore, to find ∠YXZ, we have to utilize the triangle sum theorem.
⭐ What is the triangle sum theorem?
\(angle_1 + angle_2 +angle_3 = 180\)The sum of all angles in a triangle is 180°Substitute the angles we know already (∠YZX and ∠ZYX), and solve for ∠YXZ.
\(< YZX + < ZYX + < YXZ = 180\)
\(37 + 90 + YXZ = 180\)
\(127 + YXZ = 180\)
\(< YXZ = 53\)
∴ ∠YXZ = 53°
3. We already know 2 side lengths (ZY = 24 meters, and XY = 18). Therefore, to find XZ, we have to utilize the Pythagoras' theorem.
⭐ What is the Pythagoras' theorem?
\((C)^2 = (A)^2 + (B)^2\)C is the hypotenuse of the triangle, A is a leg of the triangle, and B is another leg of the trianglePythagoras' theorem can only be used on right trianglesSubstitute the values of the side lengths into the formula:
\((XZ)^2 = (XY)^2 + (ZY)^2\)
\((XZ)^2 = 18^2 + 24^2\)
Solve for XZ:
\((XZ)^2 = 324 + 576\)
\((XZ)^2 = 900\)
\(\sqrt{(XZ)^2} = \sqrt{900}\)
\(XZ = 30\)
∴ XZ = 30 meters
Which fraction is in simplest form? Responses A. B. C. D.
Answers
Answer:
hey so you know they the fractions arent there
The table shows values for functions f(x) and g(x). x f(x)=2x−3 g(x)=73x−2 −1 −52 −133 0 −2 −2 1 −1 13 2 1 83 3 5 5 4 13 223 5 29 293 What are the solutions to the equation f(x)=g(x)? Select each correct answer.
Answers
0 and 2
f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.
−1 −7/2 −9/2
0 −3 −3
1 −2 −3/2
2 0 0
3 4 3/2
4 12 3
5 28 9/2
There are two solutions to f(x) = g(x) which are x=0 and x=2.
There are two solutions to f(x) = g(x) which are x=0 and x=2.
f(x) = g(x) will be the input or x value at which f and g have the same output or y value.
What is the function?
A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.
Look in the table where two numbers repeat right next to each other.
−1 −7/2 −9/2
0 −3 −3
1 −2 −3/2
2 0 0
3 4 3/2
4 12 3
5 28 9/2
There are two solutions to f(x) = g(x) which are x=0 and x=2.
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need help with this f(x)
Answers
Answer:
yo u gonna get in trouble for plagiarism
Step-by-step explanation:
Someone please help me this is due today ;-;
The segments shown below could form a triangle True or false someone please help me
Answers
Answer: false
Step-by-step explanation:
Answer:False
Step-by-step explanation: none of them can make a triangle
PLEASE HELP ASAP!! WILL GIVE OUT BRAINLIEST!
Answers
Answer:
y= -x+2, f(x) = -x+2
Step-by-step explanation:
the slope-intercept form is
y= mx+b where mis the slope and b is the y-intercept
here b=2 because is where the line intersects the y-axis
slope m= rise/run = -1/1 = -1
y= -x+2
in standard form is
f(x) = -x+2
Someone help pls, I need help desperately
Answers
What number is 690 less than 4,995?
Answers
Answer:
We are looking for a new number which is 690 less than 4995.
We will get the new number by subtracting 690 from 4995.
We write it down as:
4995-690=4305
And finally the solution for: What number is 690 less than 4995?
is 4305
Step-by-step explanation:
Answer: t he answer is 4305 because 4995 - 690
Step-by-step explanation:
Use the original price and the markdown or markup to find the retail price. Original price $43; markup 11.5%
Answers
Answer:
$47.945
Step-by-step explanation:
Given the following
Original price = $43;
markup = 11.5%
Markup price = 11.5% of the original price
Markup price = 11.5% of $43
Markup price = 0.115×43
Markup price = $4.945
Retail price = original price+markup price
Retail price = $43+$4.945
Retail price = $47.945
Solve for p
- 10p + 3(8 + 8p) = -6(p - 4)
Answers
Answer:
p = 0Step-by-step explanation:
Given expression:
- 10p + 3(8 + 8p) = -6(p - 4)Solving for p:
-10p + 24 + 24p = -6p + 2414p + 24 = -6p + 2414p + 6p = 24 - 2420p = 0p = 0Answer:
Step-by-step explanation:
here you go mate
step 1
- 10p + 3(8 + 8p) = -6(p - 4) equation
step 2
- 10p + 3(8 + 8p) = -6(p - 4) simplify by distributing
14p+24=-6p+24
step 3
14p+24=-6p+24 subtract 24 from each sides
20p=0
step 4
20p/20=0/20 divide both sides by 20
answer
p=0
You have 80$ to spend on clothes jeans cost 34$ and t shirts cost 9$ without any added tax how many pairs of jeans can I purchase if I buy 1 t shirt
Answers
Answer:
2 pairs of jeans
Step-by-step explanation:
1) Subtract the cost of the t-shirt
As we are given the information that she will only be buying one t-shirt it
means that we can get rid of the price of it...
$80-$9 = $72
2) Find the number of jeans
Knowing that we have $72 left we have figure out how many jeans she
can buy by dividing 72 by 34...
$72 ÷ $34 = 2
Hope this helps, have a great day!
Need help I’ll give brainliest
Answers
Answer: there are better people out there
Step-by-step explanation:
HELP ME PLS.......................TY
Answers
find the anglewhose complement is 1/4 its supplement
Answers
Answer:
The angle is 60°------------------
Let the angle be x.
Its complement is 90 - x and its supplement is 180 - x.
Set up an equation to reflect that its complement is 1/4 its supplement:
90 - x = (1/4)(180 - x)4(90 - x) = 180 - x360 - 4x = 180 - x4x - x = 360 - 1803x = 180x = 60solve 16x = 64x + 4 please
Answers
Answer:-1/12
Step-by-step explanation:
16x=64x+4
16x-64x-4
-48x=4
x=4/-48
Ans:-1/12
Answer:
\(\huge\boxed{\sf x = -1/12}\)
Step-by-step explanation:
\(\sf 16x = 64x+4\\\\Subtract \ 64x \ to \ both \ sides\\\\16x-64x=4\\\\-48x = 4\\\\Divide \ -48 \ to \ both \ sides\\\\x= 4 / -48\\\\x = - 1 / 12\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807What is a counterexample to this claim?
All quadrilaterals are parallelograms.
OA a rectangle
OB.
a rhombus
ОС. .
a square
OD.
a trapezoid
Answers
Answer:
The answer is D.
Step-by-step explanation:
An object was dropped off the top of a building. The function
f
(
x
)
=
−
16
x
2
+
256
f(x)=−16x
2
+256 represents the height of the object above the ground, in feet,
x
x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
f(−1)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
1.5
)
=
f(1.5)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
6
)
=
f(6)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is .
Answers
Answer:
What is the equation, it’s hard to understand
Step-by-step explanation:
PLEASE HELP IM STRUGGLING IN MATH!! THANK YOU!!!!❤️
Answers
Answer:
$5193.77
Step-by-step explanation:
You want to figure out what x is.
Since x is the number of years after 1996, you can do 2005 - 1996 = 9 years.
Then, plug x = 9 into the equation:
y = 11,000(0.92)^9
Plug this into a calculator and you get: y = $5193.77