Answer:
Find S: IF q = 4, and r = 6, then S = 2 when S = 8q - 5r.
Find q: IF S = 42, and r = 6, then q = 9 when S = 8q - 5r.
Step-by-step explanation:
Answer the questions as If-then statements:
Note that the given equation is S = 8q - 5r.
There are two parts to this question. The first is asking based on the rule that q = 4, r = 6.
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
Plug in the corresponding numbers to the corresponding variables in the given equation:
S = 8q - 5r
q = 4, r = 6
S = 8(4) - 5(6)
First simplify, by multiply 8 with 4 and -5 with 6, respectively.
S = (8 * 4) - (5 * 6)
S = 32 - 30
(Next, subtract).
S = 32 - 30
S = 2
IF q = 4, and r = 6, then S = 2 when S = 8q - 5r.
~
Plug in the corresponding numbers to the corresponding variables in the given equation:
S = 8q - 5r
S = 42 , r = 6
42 = 8(q) - 5(6)
First, simplify, by multiplying 8 with q, and -5 with 6, respectively.
42 = (8 * q) + (-5 * 6)
42 = 8q - 30
Next, isolate the variable, q. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 30 to both sides of the equation:
42 (+30) = 8q - 30 (+30)
42 + 30 = 8q
8q = 72
Next, divide 8 from both sides of the equation:
8q = 72
(8q)/8 = (72)/8
q = 72/8
q = 9
IF S = 42, and r = 6, then q = 9 when S = 8q - 5r.
~
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6 tons 1325 lb - 3 tons 852 lb = how many tons and lbs
6 - 3 = 3
3 tons1325 - 852 = 473
473 lbs5x-1=3x+5 an equation
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]5x-1=3x+5[/tex]
Get the x's on one side.
Add 1:
[tex]5x-1=3x+5\\\box \ \ +1) \ \ (\ \ \ \ +1)[/tex]
[tex]5x=3x+6[/tex]
Subtract 3x from both sides.
[tex]\ \ \ 5x=\ \: 3x+6\\\underline{-3x} \ \ \ \ \underline{-3x}\\[/tex]
[tex]2x = 6[/tex]
Finally, divide both sides by 2.
[tex]2x / 2 = 6/2[/tex]
[tex]x = 3[/tex]
Please help asap!!!!!!
Please answer this It would mean alot to me.
The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent expressions are expressions that have similar value or worth but do not look the same.
Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).
Let's factorise to know whether the expressions are equivalent.
Therefore, using the common factors,
8x + 4y = 4(2x + y)
Hence, the expression are not equivalent .
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The Science Club has 30 members and needs to elect officers. They will need a President, Vice President, Secretary, Treasurer, and Historian. How many ways can a 5-member committee be formed?
150
3,735
142,506
17,100,720
The ways to select the candidates from the total is (c) 142,506
How to determine the ways of selection?From the question, we have
Total number of members, n = 30
Numbers to selection, r = 5
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 30 and r = 5
Substitute the known values in the above equation
Total = ³⁰C₅
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 30!/25!5!
Evaluate
Total = 142,506
Hence, the number of ways is 142,506
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Answer: The answer is 17,100,720 different ways, or D.
Step-by-step explanation: I took the FLVS test. This situation is a permutation because order DOES matter. If got 142,506, you used the combination formula which is incorrect for this situation.
Harley and Dakaria are selling small cups of hot chocolate for $0.75 and large cups of hot chocolate for $1.50. They sold 4 small cups of hot chocolate and 22 large cups of hot chocolate. They spent $9.85 that they will need to pay back to the bank.
How much profit did they make in Large Cups?
If Harley and Dakaria are selling small cups of hot chocolate for $0.75 and large cups of hot chocolate for $1.50. The profit they make in Large Cups is $26.15.
What is profit?Profit can be defined as the money a person earn as income after deducting all expenses.
First step is to find the revenue
Revenue = (4 cups ×$0.75/cup) +(22 cups ×$1.50/cup)
Revenue = $3.00 +$33.00
Revenue = $36.00
Now let find the profit using this formula
Profit = Revenue - Expenses
Profit = $36.00 - $9.85
Profit = $26.15
Therefore the profit is $26.15.
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Does 15 20 25 form a right triangle?
Any triple would still represent the sides of a right triangle if we multiplied it by a constant. Therefore, the sides of a right triangle would be represented by 6, 8, 10, 15, 20, and 25, among countless other numbers.
What is right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
Input the Pythagorean Theorem with the given numbers:
c^2 = a^2 + b^2
25^2 = 15^2 + 20^2
625 = 225 + 400
625 = 625
Yes, the numbers 15, 20 and 25 form a right triangle and the Pythagorean triple.
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2. Claire is painting some windows that are all the same size. She used gallon of paint to paint 2 windows. How many gallons of paint are needed to paint 1 window?
Answer:3
Step-by-step explanation:
since 7 is a number and b is to u should just put 3 windows cause u need to add them all up i think, not sure but just do that, why not,
How do you solve a proof question?
To solve a proof question, firstly you have to identify the question and visualize it and then try to connect the given conditions.
Mathematical proofs can be difficult, but can be conquered with the proper background knowledge of both mathematics and the format of a proof.
To solve a proof question you have to remember following steps:
Identify the question = You must first determine exactly what it is you are trying to prove. Identify the question. You must first determine exactly what it is you are trying to prove. Draw diagrams = When trying to understand the inner working of a math problem, sometimes the easiest way is to draw a diagram of what is happening. Use the information given in the problem to sketch a drawing of the proof. Label the knowns and unknowns.Study proofs of related theorems = Proofs are difficult to learn to write, but one excellent way to learn proofs is to study related theorems and how those were proveTo know more about proof here
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Find the domain of the function.
f(x)= 3 x−2
Answer:
All real numbers
Step-by-step explanation:
How do you identify a parabola?
When the co-ordinates of a given figure satisfies the equation of a parabola then we say that the given figure is a parabola.
The general equation of a parabola is given by
y = a(x – h)2 + k or x = a(y – k)2 +h
Here (h, k) denotes the vertex.
y = a(x – h)2 + k is the regular form.
x = a(y – k)2 +h is the sidewise form.
A right circular cone and a plane surface intersect to generate one of the conic sections known as a parabola
It has a U-shaped symmetry in the plane. The conventional form of a parabola is a graph whose equation takes the form f(x) = ax2+bx+c.
A parabola's vertex is its most extreme point, and the vertical line that runs through it forms its axis of symmetry.
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maya has $75 this is 30% of what she needs explain how you can work out how much she needs
Answer: $250. Step-by-step explanation: let the amount she need is $x. now. given that. 30℅ of x = $75. so. 30/100 × X = $75.
Please help! Need this by tonight thanks! Question 7 Click on picture
Answer:
Oh god, I don't really know much about this, but I am going to assume that the 25 represents the mn so maybe you have to put 25mn + 6600 on the first box?
Step-by-step explanation:
I just looked up how to do this. I think the form has to be a C=mn+b format. For the third box, I think you need to solve 54100=25mn+6600. On the second box I think you just need to solve C(3600)=25(3600)+6600. idrk
−8×(−10+(−7))
Evaluate the following expression.
Answer:
136
Step-by-step explanation:
solve the inside of the parentheses and you get -17, then multiply by -8
A line is parallel to the line y = -x + 5 and passes through the point (4. - 1). Which of the following is an equation of the
line?
Answer:
y = -x + 3; could also be y + 1 = -(x - 4) or y = -(x - 4) - 1 or x + y = 3
Step-by-step explanation:
No options given, so I hope this helps.
1. Identify any of the equations that have the same slope as your given equation (-1). If there's only one, stop here.
2. Find the y-intercept by replacing (x,y)=(4,-1) in the equation y = -x + b and solve for b: -1 = -(4) + b ==> 3 = b
3. Replace b in the equation y = -x + b with 3.
Solve for w.
2w²-2w+32 = (w-5)²
[tex]2w^2-2w+32=(w-5)(w-5)[/tex]
[tex]2w^2-2w+32=w^2-10w+25[/tex]
Subtract [tex]w^2[/tex] from each side:
[tex]w^2-2w+32=-10w+25[/tex]
Add [tex]10w[/tex] to each side:
[tex]w^2+8w+32=25[/tex]
Subtract 25 from each side:
[tex]w^2+8w+7=0[/tex]
Factor:
[tex](w+1)(w+7)[/tex] =0
Both solutions work, so w=-1 and w=-7Please help will mark Brainly
Answer: Horizontal Translation
Step-by-step explanation:
Can you guys please help me?
Answer:
its 11
Step-by-step explanation:
(2*3)^2-5^2=11
36-25=11 hope it helps
What double facts can help you solve 8 7?
The double facts of 8 + 7 = 15 is (7 + 7) + 1 and ( 8 + 8) -1.
Double facts:
A doubles fact is a number sentence that repeats the same addend, such as 3 + 3 = 6 or 8 + 8 = 16.
Here we have to find the double facts of the equation:
Equation:
8 + 7 = 15
When a number is added to itself the result is twice that number
Example:
2 + 2 = 2× 2 = 4
3 + 3 = 2× 3 = 6
5 + 5 = 2× 5 = 10
Similarly, we have to solve for 8 + 7 = 15
So 8 + 7 = 7 + 7 + 1
= ( 7 + 7) +1
In the same manner, we can also do that:
8 + 7 = 8 + 8 -1
= (8 + 8) -1
Therefore the double facts of the equation are ( 7+7)+1 and (8+8)-1.
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The monthly rents (in dollars) paid by 10 people are given below. (Note that these are already ordered from least to greatest.) 735, 935, 960, 995, 1005, 1050, 1065, 1075, 1100, 1120 Suppose that one of the people moves. His rent changes from $735 to $535. Answer the following.
The mean will decrease when the rent decrease.
The median will stay the same.
What is a mean?It's important to note that a mean simply means the average of a set of numbers that are given. The mean is the average of the given numbers and is calculated by dividing the total number of numbers by the sum of the given numbers. A data set's mean (average) is calculated by adding all of the numbers in the set and then dividing by the number of values in the set.
Mean = (sum of all observations divided by the total number of observations)
In this case, the rents are 735, 935, 960, 995, 1005, 1050, 1065, 1075, 1100, 1120 and one of the people moves, and his rent changes from $735 to $535.
In this case, changing 735 to 535 will make the average lower.
On the other hand, the median isn't affected as it's still 1057.50.
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Your new warehouse robot will make things a lot easier; however you still need your staff to do the delicate part. Hence they need to learn each other. First time your warehouse employee tried replenishing a single order with the robot, it took 275 seconds. Calculate how much it will take after 17 repetitions with a learning rate of
80%?
Number of repetitions: ???
The time it will take after 17 repetitions with the learning curve having a rate of 80% is of:
6.19 seconds.
What is the Learning Curve Formula?The learning curve formula is an exponential function defined as follows:
[tex]y = ab^x[/tex]
In which the parameters are listed as follows:
a is the time it takes to make the first object.b is the rate.Then y gives the time it takes to make the xth object.
In the context of this problem, the values of the parameters are given as follows:
a = 275, as it is the time that it takes the employee on the first time.b = 0.8, as it is stated in the problem that the learning rate is of 80%.Then the time needed for the 17th repetition is of:
y = 275 x (0.8)^17 = 6.19 seconds.
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Given the following diagram, find the value of x
Explain how you arrived at your answer.
_______________________________________
Answer:
x = 107
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
123° is an exterior angle of the triangle , then
x + 16 = 123 ( subtract 16 from both sides )
x = 107
Which of the following graphs represents the equation:
y=3/2 x+1
Answer:
It looks like it could be the first one
Step-by-step explanation:
How to solve problems like this:
KEY FORMULA: y=mx+b
The b respresents the Y-INTERSCEPT (The number that the line crosses on the y-axis. In this case, it is 1. In the first graph, the line is crossing the 1 on the y-side.)
Mx = Slope. In this case, it is 3/2.
How to graph this: First, plot (0, 1), because 1 is the y-interscept. Then, since the slope is a POSITIVE, after the 1, you go right two, then up three. Then you draw your line.
Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000
if the probability of selecting the number is 3/10, the what could the question be?
The question can be:
"From the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
What is the probability of randomly selecting a multiple of 3?"
The answer is that the probability is 3/2, as expected.
What could the question be?We want to find a question about probability, such that the answer is 3/10.
So we will have a set of 10 numbers, and 3 of them make a given event true, the probability of selecting one of these 3 numbers out of the whole set is:
P = 3/10
So, for example:
From the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
What is the probability of randomly selecting a multiple of 3?
There are 3 multiples of 3 on that set of 10 numbers, then the probability is P = 3/10.
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what is the solution to the system of equations 5 0 0 5 0 5 5 0
The solution to the system of equations for the given graph is (0, -5). The option 3 is correct.
In the given question we have to find the solution to the system of equations for the given graph.
As we know that the equation of line express in the form of y=mx+c, where x and y is the point where line cutting in the graph and m is the gradient.
From the graph we can see that both lines are cutting each other at (0,-5).
So the solution to the system of equations for the given graph is (0, -5).
The option 3 is correct.
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The right answer is:
What is the solution to the system of equations?
(5, 0)
(0, 5)
(0, –5)
(–5, 0)
In, a city had a population of 310,000 people. Each year since 2007, the population has grown by 4.8%.
Let t be the number of years since. Let y be the city's population.
Write an exponential function showing the relationship between t and y.
The exponential function showing the relationship between t and y is y = 310000(1.048)⁺
How to determine the exponential function?From the question, we have the following parameters that can be used in our computation:
Initial population = 310000
Rate of growth = 4.8%
These parameters can be represeted as
a = 310000 and r = 4.8%
An exponential function is represented as
y = a(1 + r)⁺
Substitute the known values in the above equation, so, we have the following representation
y = 310000 (1 + 4.8%)⁺
Evaluate
y = 310000(1.048)⁺
Hence, the function is y = 310000(1.048)⁺
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the diagram shows squares 1 2 and 3
(Area of 1) + (Area of 2) = (Area of 3) this statement about the squares must be true.
What is Right angle traingle?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest of the three sides, known as the hypotenuse, is the third side.
we know that;
By applying the Pythagorean Theorem;
[tex]c^2 = a^2 + b^2[/tex] .............................(1)
Area of the square says A1;
A1 = a^2 unit^2 ...............................(2)
Area of the square says A2;
A2 = b^2 unit^2 .................................(3)
Area of the square says A1;
A3 = c^2 unit^2 ..................................(4)
Replace the A1, A2, and A3 values in the equation 1 ;
A3 = A1 + A2
therefore;
(Area of 1) + (Area of 2) = (Area of 3).
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Gavin graphs the parabola (x+1)²=-8(y+3)
How does he proceed?
Drag a value, coordinates, an equation, or a word to each box to correctly complete the statements.
Gavin identifies that the vertex of the parabola is ? The parabola opens
and the focus is ? units away from the vertex. The directrix
is ? units from the focus. The focus is the point ? The directrix ? of the equation is ?
Gavin plots the vertex and focus, and graphs the directrix as a dashed line. He then draws the parabola so that the focus sits inside the curve and the directrix does not intersect it.
We get,
The vertex of the parabola, according to Gavin, is "(-1,-3)."
The parabola opens "down"
A "2" unit distance separates the focus from the vertex.
The directrix 1 unit from the focus.
The focus is the point "(-1,-5)".
The directrix and the focus of the equation is "y = -1".
Given that,
Gavin graphs the parabola (x+1)²=-8(y+3).
We have to find the missing places.
We know that,
What is Parabola?The U-shaped curve known as a parabola is used to represent a quadratic function.
The parabola (x+1)² = −8 (y+3) is given in the question.
As per the question,
We get the result as,
Therefore, We get,
The vertex of the parabola, according to Gavin, is "(-1,-3)."
The parabola opens "down"
A "2" unit distance separates the focus from the vertex.
The directrix 1 unit from the focus.
The focus is the point "(-1,-5)".
The directrix and the focus of the equation is "y = -1".
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what is the rate of change/slope
Answer:
1/2
Step-by-step explanation:
Slope is rise over run. If we look at the points (0,0) and (2,1) and plug it into the slope formula...
m = y2 - y1 / x2 - x1
m = 1-0 / 2-0
m = 1/2
we see that the slope is 1/2.
Answer:
1/2
Step-by-step explanation:
The ROC=1/2 because of the rise over run.
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