Taking into account the definition of a system of linear equations, the system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on is:
\(\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.\)
where G is the number of games Kadeesha played and R is the number of rides Kadeesha went on.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns give the solution proposed in both equations.
System of equations in this caseIn this case, a system of linear equations must be proposed taking into account that:
G: number of games Kadeesha played.R: number of rides Kadeesha went on.On the other hand, you know:
Each game costs $2.50 and each ride costs $4.75. Kadeesha spent $48.75 altogether at the carnival. The number of games she played is twice the number of rides she went on.So, the system of equations to be solved is
\(\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.\)
Among the different existing methods to solve the system of equations, it is decided to solve it using the substitution method. This method consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the second equation in the first one you get:
2.50×2R+4.75R=48.75
Solving:
5R+4.75R=48.75
9.75R=48.75
R= 48.75÷ 9.75
R= 5
Remembering that G=2R, you obtain that G=2×5= 10
In summary, the system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on is:
\(\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.\)
where G is the number of games Kadeesha played and R is the number of rides Kadeesha went on.
Finally, the number of games played is 10 while the number of rides she went on is 5.
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what is x if 3x+4=19
3x + 4 = 19
3x = 19-4
3x = 15
\(x = \frac{15}{3} \\ \)
x = 5
Melissa and Rosa are golfing on a beautiful summer day the ninth hole is 380 yards Melissa hooked hit to the left of the correct direction her drive on hole number nine sketched belowHow far is Melissa’s ball from the hole? Explain or show your work
118.44 yards
Explanations:In order to determine the required distance, you will use the cosine rule as shown:
\(c^2=a^2+b^2-2abcosC\)Given the following parameters
\(\begin{gathered} a=310yd \\ b=380yd \\ m\angle C=16^0 \end{gathered}\)Substitute the given parameters
\(\begin{gathered} c^2=310^2+380^2-2(310)(380)cosm\angle C \\ c^2=96100+144400-235600cos16^0 \\ c^2=240500-235600cos16^0 \\ c^2=240500-226473.255 \\ c^2=14026.74 \\ c=118.44yards \\ \end{gathered}\)Therefore Melissa's ball is 118.44 yards from the hole
26) Cary hiked 18 miles in 6 hours. If he continues at the same pace, how much farther can he hike in the next 2 hours?
27) Harry made 4 hits in 9 times at-bat. If she keeps the same success level, how many hits should she make in 18 times
at-bat?
28) In how many ways can 18 hikers be organized into 2 or more groups for trail clearing if all groups have the same number of hikers?
Mixed Review
Use the rules of divisibility to solve each problem below. Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, or 10.
29) 12
30) 30
31) 360
32) 96
Answer:
same question
Step-by-step explanation:
A landscape architect wants to plant a circle of flowers around a triangular garden. She has sketched the triangle on a coordinate grid with vertices at A (0, 0), B (8, 12), and C (18, 0). Explain how the architect can find the center of the circle that will circumscribe triangle ABC. Then find the radius of the circumscribed circle.
Answer:
The center of the circle is the point (6,3)
In a study, the sample is chosen by surveying every 3rd driver coming through a tollbooth
What is the sampling method?
Systematic
Simple Random
Stratified
Cluster
Convenience
The sampling method according to the given question will be Option A (Systematic).
A form of probabilistic sampling approach, using a randomized, although fixed, periodical, the moment of the department, wherein the individuals of a general community have been picked, is considered a Systematic method.
The other given options such as:
Simple random - A subset of something like a sample size where almost every member of such subset is approximately equally likely to be selected.Stratified - A technique of sample that thus divides a community into so-called strata across narrower groupings.Cluster - A appropriate sampling approach whereby the researcher divides the entire population amongst numerous study divisions.Convenience - This includes employing interviewees "acceptable or suitable" for the investigator.Such sampling methods aren't related to the given scenario. So the above is the correct answer.
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Jim wants to buy an electric saw marked $98.00. If the salesperson offers him a discount of 15%, how much will he have to pay for the saw?
Answer:
$83.30
Step-by-step explanation:
Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):
98(0.85)
= 83.3
So, he will have to pay $83.30 for the saw
here is my algebra 13 homework screenshot, can somebody help me QUICKK PLS
Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).
y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3
A) h(x) = 5\((2)^{x}\)
when x = 0
Any number with zero power is always 1
h(x) = 5
B) h(x) = 5\((0.5)^{x}\) + 0.5
when x = 0
h(x) = 5 + 0.5
h(x) = 5.5
C) g(x) = 3\((\frac{1}{4}) ^{x}\)
when x = 0
g(x) = 3
Here we get y intercept as 3.
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Does 6.3=6.33 plz help
no
it does not
6.3 is 6.30
6.33 is not equal to 6.30
so the answer is No
Select the fraction and decimals that match the percentage discount. Work out the amount of the item after the discount has been applied.
Rambo's bait and tackle store is having a big sale-
$230.40 fishing rod with 50% off Blank 1 Blank 2 Blank 3
$25.80 worth of lures with 23% off Blank 4 Blank 5 Blank 6
$5.50 spool of fishing line with 8% off Blank 7 Blank 8 Blank 9
2 bags of bait at $6.00 each with 25% off Blank 10 Blank 11 Blank 12
3 packet of hooks each $2.50 with 60% off Blank 13 Blank 14 Blank 15
A fishing video on clearance for $5 each with 90% off Blank 16 Blank 17 Blank 18
Select the fraction and decimals that match the percentage discount accordingly
How to determine the fraction and decimals that match the percentage discount?Discount is defined as a deduction from the usual cost of something.
$230.40 fishing rod with 50% off
fraction = 50/100
decimals = 0.5
Amount = $230.40 - (0.5 * $230.40) = $115.20
$25.80 worth of lures with 23% off
fraction = 23/100
decimals = 0.23
Amount = $25.80 - (0.23 * $25.80) = $19.87
$5.50 spool of fishing line with 8% off
fraction = 8/100
decimals = 0.08
Amount = $5.50 - (0.08 * 5.50) = $5.06
2 bags of bait at $6.00 each with 25% off
fraction = 25/100
decimals = 0.25
Amount for 1 bag = $6.00 - (0.25 * $6.00) = $4.50
Amount for 2 bags = 2 * $4.50 = $9.00
3 packet of hooks each $2.50 with 60% off
fraction = 60/100
decimals = 0.6
Amount for 1 packet of hooks = $2.50 - (0.6 * $2.50) = $1.00
Amount for 3 packet of hooks = 3 * $1.00 = $3.00
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71) y = -x + 32AY5+21ti6 5 4 3 2 11 2 3 43 6XHelp me solve and graph
We have the next equation
\(y=\frac{7}{2}x+3\)Seeing the function we can see that it has a linear form.
To graph the linear function we must find the intercepts of the function
y-intercept:
To find the y-intercept we must replace x = 0 in the function and then solve for y
\(\begin{gathered} y=\frac{7}{2}(0)+3 \\ y=0+3 \\ y=3 \end{gathered}\)So, the y-intercept is the point (0, 3)
x-intercept:
To find the x-intercept we must replace y = 0 in the function and then solve for x
\(\begin{gathered} 0=\frac{7}{2}x+3 \\ \frac{7}{2}x=-3 \\ x=\frac{-3\cdot2}{7} \\ x=-\frac{6}{7}=-0.857 \end{gathered}\)So, the x-intercept is the point (-0.857 , 0)
Now, we have two point of the graph, we must join them and this will be our graph. This, because is a linear function.
So, the graph will be
the graph represents the x^2+y^2=8. Use the graph to answer questions 6,7,8.
6. look at the graph of the equation x^2+y^2=8. give its domaim and range
7. use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.
8. is there any value(s) of the domain of x^2+y^2=8 that passes the verticle line test? if so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
Using the concepts of domain and range, we have that:
6. Both the domain and the range of the relation are [-2.826, 2.826].
7. The relation is not a function, as each value of x is associated with two values of y, that is: \(y = \pm \sqrt{8 - x^2}\).
8. From item 7, we get that there are no points that pass the vertical line test.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, from the graph of the circle, for item 6, both the domain and the range of the relation are [-2.826, 2.826].
A relation is a function only if each value of x is related to only one value of y. Solving the equation of the circle for y, we have that:
x² + y² = 8.
y² = 8 - x²
y = ±sqrt(8 - x²).
Hence each value of x is related to two values of y, meaning that it is not a function, and for item 8, there are no points that pass the vertical line test.
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Please help I’m stuck on this question
C looks like the smartest answer to go with.
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
Which figure has four sides that are the same length
Expand the following equation (2x-3)^2
Answer:
4x^2 - 12x + 9
Explanation:
(2x - 3)^2
(2x - 3)(2x - 3)
2x(2x - 3) -3 (2x - 3)
4x^2 - 6x - 3 (2x - 3)
4x^2 - 6x - 6x + 9
4x^2 - 12x + 9
please help and show work will makr as brainliset
Step-by-step explanation:
\(5x + 2y = 8\)
\(2y = - 5x + 8\)
\(y = \frac{ - 5x}{2} + \frac{8}{2} \)
\(y = \frac{ - 5x}{2} + 4\)
Option → A
Which may be a cost of inflation?
Higher prices
Consumer panic
Higher pay for workers
Increased business profits
Answer:
consumer panic
Step-by-step explanation:
Need help answering question 5
Answer:
Step-by-step explanation:
how to find similarity in right triangles
Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
Find a set of parametric equations of the line. (Enter your answers as a comma-separated list.)
The line passes through the point
(4, 5, 6)
and is parallel to the xz-plane and the yz-plane.
The parametric equations of the line are x=4, y=5, and z=6+t.
Parametric Equation of the Line:
When we want to find the parametric equation of a line, we must know a vector that is parallel to the line and any point that is contained in the line.
we know that the line passes through point P(4,5,6) and is also parallel to the planes xz and yz, so it means that the line is parallel to the z-axis, so its direction vector is a vector k^ =(0,0,1).
Then, if we have a vector v=(v₁, v₂, v₃) parallel to the line and a point (x₀, y₀, z₀) on the line, the parametric equation of the line is given by:
x=x₀+v₁t, y=y₀+v₂t, z=z₀+v₃t
In this particular case, we have that P (4,5,6) = (x₀, y₀, z₀) , and v=(0,0,1)=(v₁, v₂, v₃)
now plugging the equation of the line is
x=4+(0)t, y=5+(0)t, z=6+(1)t
x=4, y=5, z=6+t.
Hence the parametric equations of the line:
x=4, y=5, z=6+t.
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If 20% of a number is 72 and 50% of the same number is 180, find 30% of that number.
Answer:
.20x = 72, so x = 360
.30(360) = 108
(4x-4)+(3x-2)+(2x+6)=180
Answer:
x=20
Step-by-step explanation:
Let's solve your equation step-by-step.
4x−4+3x−2+2x+6=180
Step 1: Simplify both sides of the equation.
4x−4+3x−2+2x+6=180
4x+−4+3x+−2+2x+6=180
(4x+3x+2x)+(−4+−2+6)=180(Combine Like Terms)
9x=180
9x=180
Step 2: Divide both sides by 9.
9x
9
=
180
9
x=20
Answer:
x=20
Answer:
x=20
Step-by-step explanation:
im pretty sure this is right. you can't take away 4 from 4 x, so you do it like this: -4+(-2)+6 =0. 4x + 3x + 2x =9x. 180/9 = 20
if x is 6 what is x + 4
Answer:
put six on the place of x..
Step-by-step explanation:
So 6+4 =10 Answer
hope it helps
What is the surface area of the solid that this net come from?
Answer:
I think its C tell me if its right
Step-by-step explanation:
which expression is a cube root of -2i?
The cube root of -2i,
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
We can represent -2i in polar form as,
r(cosθ + i sinθ)
by computing its magnitude and angle.
The magnitude of -2i is 2
Since the absolute value of any imaginary number is equal to its magnitude.
To find the angle θ,
We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.
In this case,
The opposite side is -2 and the adjacent side is 0.
Therefore, we have tanθ = -2/0, which is undefined.
However,
We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.
So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).
Now, we need to find the value of θ/3. Since θ is undefined,
we will represent it as π/2 + 2πn,
where n is any integer.
So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.
Therefore, the cube root of -2i is equal to
⇒ ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]
Now put n = 0
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
This is the final form of the cube root of -2i in the required form.
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Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
Select the correct answer.
24c^6 - 32c^4
Which expression is equivalent to
8c^3 ? Assume that the denominator does not equal zero.
Answer:
B: \(c(3c^2-4)\)
Step-by-step explanation:
1. Substitute \(1\) for c: \((24^6-32^4)/(8^3)\)
2. Solve substitution: \(-1\)
3. Compare \(-1\) to calculated answers when \(c=1\)
4. \(c(3c^2-4)\) when \(c=1\) is \(-1\)
What is the absolute value of -330?
Answer:
Why is | 330 | the absolute value of the number 330?
The absolute value of a number is how far away the number is from zero. The absolute value is ALWAYS positive.
What is the absolute value of -330?
The negative version of the number is also | 330 |
More Examples
Here are more examples of even and odd numbers in sequence:
Number 328 329 331 332
Absolute Value 328 329 331 332
Suppose the function h(x) = 2x - 9 is translated up 5 units to become a new function,
Xx). What's the equation of the new function?
A) x) = 7x-4
B)(x) = 2x - 14
C)(x) = 7x-9
D) (x)=2x-4
According to the given data the equation of the new function is (D) f(x) = 2x - 4.
What is meant by equation?An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.
According to the given information:If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:
f(x) = h(x) + 5
Substituting the definition of h(x) into this equation, we get:
f(x) = 2x - 9 + 5
Simplifying, we have:
f(x) = 2x - 4
Therefore, the equation of the new function is (D) f(x) = 2x - 4.
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