The resultant answer of the given equation 7 – 5p + 3q is 23.
What are equations?A math formula is a formula that uses the equal sign to represent the equivalence of two expressions.
The meanings of the word equation and its cognates in various languages can vary slightly.
For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
by inserting the provided values, we must determine the value of the given equation.
The result is obtained by changing the values of p and q in the above equation.
Thus, if p = 1 and q = 7.
So, we get the equation: 7 – 5p + 3q
Calculate as follows:
7 – 5(1) + 3(7)
7 – 5 + 21
28 – 5
23
Therefore, the resultant answer of the given equation 7 – 5p + 3q is 23.
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Correct question:
Evaluate 7-5{p}+3q7−5p+3q7, minus, 5, p, plus, 3, q when p=1p=1p, equals, 1 and q=7q=7q, equal, 7.
Lauren and Shayla have ½ pound of Skittles. They want to share the Skittles between themselves and 2 friends.
How many pounds of Skittles will each of them receive?
Using division we know that each person will have 1/4 pound of Skittles.
What is division?In mathematics, the division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.
For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
The division sign, "," or occasionally "/," is used in computer code.
So, we know that:
Lauren and Shayla have 1/2 pound of Skittles
They will share it with 2 more people.
Then, each will have:
(1/2)/2
1/2 / 2
1/2 * 1/2
1/4
Therefore, using division we know that each person will have 1/4 pound of Skittles.
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order reads: klotrix 0.35 meq/lb po dissolved in 6 oz of orange juice at 8 am; available: klotrix 8 meq/ml. how many ml of klotrix will you add to the orange juice for a 20.5 kg patient? round your answer to the nearest tenth.
We will add 2 ml of klotrix to the orange juice for a 20.5kg patient.
We know that , 1 kg=2.20462 pounds
Therefore, 20.5kg=20.5x2.20462 pounds= 45.195 pounds or 45.195 lb
Additionally we have, 1 lb = 0.35 mEq
Therefore, 45.195 lb= 0.35 mEq × 45.195 = 15.818 mEq.
Also, 8mEq=1 mL
By using unitary method,
1 mEq=1/8 mL
Converting 15.818 mEq to mL, we get
15.818mEq = 15.818 ÷ 8 = 1.9 mL
Thus, 15.818mEq = 1.9 mL
Rounding off the answer we get,
The amount of klotrix required to add to the orange juice for a 20.5 kg patient is 2mL
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exercise 4. exercise 2 on page 65 on the textbook. suppose the world population today is 7 billion, and suppose this population grows at a constant rate of 3% per year from now on. (a) what would be population equal 100 years from now? (b) compute the level of population for t
Answer: A: what would be population equal 100 years from now?
Step-by-step explanation: I hope this helps!
Whitch equation represents a cricle with the center t(5,-1) and q radius of 16 units
(x - h)^2 + (y - k)^2 = r^2 is the equation for a circle with center (h, k) and radius (r).
What exactly is a math equation?
A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."
So, an equation that represents a circle with center (5, -1) and radius of 16 units is:
(x - 5)^2 + (y + 1)^2 = 16^2
or
(x - 5)^2 + (y + 1)^2 = 256
The graph of this equation will be a circle centered at the point (5,-1) with a radius of 16 units.
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Solve and reduce to lowest terms: 5 x 2/7
The multiplication of the numbers given to the reduced form is 10/7.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
The given expression is 5 × 2/7
One of the number is a whole number and the other is a fraction.
We can write 5 as 5/1 in terms of fraction and then multiply the numerators and the denominator.
(5/1) × (2/7) = (5×2) / (1 × 7) = 10/7, which is in the lowest form.
Hence the solution of the multiplication is 10/7.
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Square 1 ABDC square 2 FGEH. AD= 18 DC=12 FE= 15 how do I find the square factor?
Using the similarity rectangle theorem, the value of FG is approx 23.
We determine the value of FG using the using the similar rectangle theorem.
Two rectangles must have proportional sides in order for them to be identical (form equal ratios). The two shorter sides should be proportionately equal to the two longer sides.
The rectangle ABCD and FGEH are both have same shape.
As we know that the rectangle same two sides equal. So
FG/EF = AD/DC
FG/15 = 18/12
Multiply by 15 on both side, we get
FG = 18/12 * 15
FG = 3/2 * 15
FG = 22.5
FG = 23 (approx)
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The complete question is:
Square 1 ABDC square 2 FGEH. AD= 18 DC=12 FE= 15. How do I find the square factor FG?
Which pair of ratios does not form a true proportion? A)6:16 and 21:56 B) 2 to 10 and 15 to 75 C) 9/11 = 27/15 D) y=5x
The ratios 6:16 and 21:56, 9/11 = 27/15, and y=5x do not form a true proportion. Hence, options A, C, and, D are the correct options.
A true proportion is when both the ratios presented are equal. This can be verified by putting them in their respective fractional form. For example, let's take the ratios in the second option -
= 2/10 and 15/75
Here, we can see that 2*5 = 10 and 15*5 = 75
Hence these can be written as
= 2/2*5 and 15/15*5
Hence, these fractions are the same and as a result, the ratios form a true proportion.
As for the other ratios in question -
A) 6/16 is not equal to 21/56
C) 9/11 is not equal to 27/15
D) y= 5x are not proper ratios and are not equal
Thus, options A, C, and, D are the correct options.
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what is the relationship between the singular values of a and the eigen- values of aat ? what about at a?
The eigenvectors of AAH are called the left-singular vectors of A and the eigenvectors of AHA are the right-singular vectors of A . They are called this way because of their use in singular value decomposition. Say A=UΣVH , then the columns of U are the left-singular vectors and the columns of V are right-singular vectors.
We know that the non-zero eigenvalues of AAH and AHA are the same, they are the squares of the singular values of A . A singular of value of A is a value σ such that Av=σu AHu=σv where u is a left-singular vector and vs a right-singular vector. This can be taken as the definition of singular value, left-singular vector (which is an eigenvector of AAH) and right-singular vector (which is an eigenvector of AHA).the left-singular and right-singular vector pair works with AAH and AHA
AAHu=σAv=σ2u
AHAv=σAHu=σ2v
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Q: What is the relationship between the eigenvectors of AAT and ATA?
Marshawn ran with the football for a 24 yard gain.
Given that 1 yard = 3 feet, enter the distance Marshawn ran in feet.
Here is a number pyramid puzzle.
Each number is the product of the two numbers directly below it.
Complete the pyramid.
Complete the pyramid with the corresponding values
How to complete the pyramid?
Since each number is the product of the two numbers directly below it. Then the pyramid can be completed as follows:
Check the attached image for labeling.
j = -1 × -1 = 1
h = -2 × j = -2 × 1 = -2
y = h × -1 = -2 × -1 = 2
j × n = -1
1 × n = -1
n = -1
n × m = 2
-1 × m = 2
m = -2
w = -1 × 2 = -2
t = y × w = 2 × -2 = -4
-1 × k = n
-1 × k = -1
k = 1
k × l = m
1 × l = -2
l = -2
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inequality notation of 3 − 5x > −2
Answer:x<1
Step-by-step explanation:
move constant -5x>-2-3
Add alike numbers (-2 and -3)
-5x>-5
Divide both sides by -5
Then flip the inequality sign
x<1
Answer:
Step-by-step explanation:
Add 3 to the -2
-5x > 1
Divide by -5 the sign switches because of the negative
x < - 1/5 or X < -0.2
3 pens cost £2.25
5 folders cost £5.80
Chris wants to buy 30 pens and 30 folders
he only has £60
does he have enough to buy 30 pens and 30 folders? yes or no
Yes, Chris has enough money to buy 30 folders and 30 pens.
How to know if he has enough to buy the pens and folders?The cost of the stationaries Chris bought are as follows:
3 pens cost £2.255 folders cost £5.80Chris wants to buy 30 pens and 30 folders and he has only £60.
Let's check If he has has enough money to buy the products.
Therefore,
3 pens cost £2.25
1 pen = ?
cost of 1 pen = 2.25 / 3 = 0.75 dollars
5 folders cost £5.80
1 folder = ?
cost of 1 folder = 5.80 / 5 = 1.16 dollars
Hence,
30(0.75) + 30(1.16) = 22.5 + 34.8 = 57.3 dollars
Therefore, he has enough money to buy 30 folders and 30 pens
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What is the probability that Andre, Olivia, and Zach all win gift cards that are at least $25?
The probability that Andre, Olivia, and Zach all win gift cards that are at least $25 is 0.
Since the value of the gift cards is determined by chance, it is impossible to calculate the probability of this exact outcome. Instead, we can calculate the probability of any one person winning a gift card that is at least $25, which is 0.5.
The probability of them all winning would be the product of the individual probabilities, which is 0.5 x 0.5 x 0.5 = 0.125. However, since this is impossible, the probability of this exact outcome is 0.
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What is the value of x?
x = 1
Answer:
-----------
3x + 1 = 4x
4x = 3x + 1
4x - 3x = + 1
x = 1
Which expression is equivalent to 1/4(3x+4y) + 3(1/4x+ 2/3y)
The expression is equivalent is 6x/4 + 24y/12
What are algebraic expressions?
Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.
These expressions also consisting of mathematical operations, such as;
AdditionParenthesesDivisionSubtractionMultiplicationFloor division, etcGiven the expression;
1/4(3x+4y) + 3(1/4x+ 2/3y)
expand the bracket
3x/4 + 4y/4 + 3/4x + 3/3y
collect like terms
3x/4 + 3/4x + 4y/4 + 3/3y
add like terms
3x + 3x/4 + 12y + 12y /12
add the numerators
6x/4 + 24y/12
Hence, the expression is 6x/4 + 24y/12
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Is w = 6 a solution to the inequality below?
8 > W
W = 6 is a solution to the inequality.
Solutions of an inequality expression:In mathematics, Inequality is an unequal comparison between two or more algebraic terms or expressions. The solution of an inequality is a numerical value that will satisfy the given expression.
The signs that we use in Inequality expression are
'>' - greater than
'<' - less than
'≥' - greater than or equal to
'≤' - less than or equal to
Here we have
Inequality 8 > W
Where the symbol '>' less than indicates 8 is greater than W
or the value of W is less than 8
As we can see that 6 < 8
Therefore,
W = 6 is a solution to the inequality.
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Write an equation in point slope form for the line that passes through (-4, 3) and whose slope is 3.
An equation in point slope form for the line that passes through (-4, 3) and whose slope is 3 is equal to y - 3 = 3(x + 4).
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represents the data points.m represents the slope.Next, we would determine the linear equation representing the line which passes through the points (-4, 3) and has a slope of 3 by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3 = 3(x - (-4))
y - 3 = 3(x + 4)
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Suppose the first class in a frequency table of quantitative data is 0-4 and the second class is 5-9. What is the class midpoint of the first class
The class midpoint of the first class in the case of table of quantitative data is 0-4 and the second class is 5-9 is 2.5
When you want to make a histogram to see the values in a frequency table, you frequently use class midpoints.A histogram shows the classes along the graph's x-axis while using bars to show how frequently each class occurs along the y-axis. At the midpoint of each class, each bar is centered.When you want to make a histogram to see the values in a frequency table, you frequently use class midpoints. A histogram shows the classes along the graph's x-axis while using bars to show how frequently each class occurs along the y-axis. At the midpoint of each class, each bar is centered.To know more about midpoint here
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If you can't see it zoom in
The SAS congruency is applied here.
Hence,
[tex] \frac{TR}{JK} = \frac{RS}{JL} = \frac{TS}{KL} \\ \frac{24}{x} = \frac{12}{6} = \frac{y}{15} \\ \frac{24}{x} = 2 \\ x = 48 = JK[/tex]
[tex] \frac{y}{15} = 2 \\ y = 30[/tex]
Perimeter =
[tex]6 + 30 + 48 \\ 36 + 48 \\ = 84[/tex]
Explain in words how the method for solving equations with fractional or decimal
coefficients and constants compare with the method for solving
The approach used to solve equations with integer coefficients & constants can also be used to solve equations with fractional / decimal coefficients and constants.
What is equation?An equation is a mathematical statement that expresses the equality of two expressions. It is a relationship between two or more variables, such as x + y = z. Equations are used to solve a wide variety of problems in mathematics, physics, chemistry, engineering and other scientific fields.
The main difference is that when solving equations with fractional or decimal coefficients and constants. For example, if you have an equation with a decimal coefficient, divide both sides by the coefficient to make the coefficient 1 before you can use the same steps to solve the equation.
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The potential energy, P, in a spring is represented using the formula P = A equals StartFraction one-half EndFraction b h.kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.
Which equation should she use?
k = 2Px2
k = k equals StartFraction one-half EndFraction P x squared.Px2
k = k equals StartFraction 2 P Over x squared EndFraction.
k = k equals StartFraction P Over 2 x squared EndFraction.
She should use the equation k = P/x². The correct answer would be an option (D).
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The potential energy, P, in spring is represented using the formula, as follows:
P = kx²
Solve for variable k and we get the equation:
k = P/x²
When we compare this equation to the provided possibilities, we can easily see that it corresponds to the last option.
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what is the measure of the acute angle formed by the hands of a clock at $4:20$ a.m.? express your answer as number of degrees.
The acute angle formed by the hands of a clock at 4:20a.m is 10°.
For the minute hand, we can compute that, for its every move, it covers 6 degrees. And for the hour hand, each move covers 30 degrees.
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
The angle between the hour's hand and the minute hand when the clock shows 4:20 pm can be calculated by using the formula:
Angle=|11/2 M-30H|
where M= minute H= hour's
Here M=20 H=4
Therefore we get the angle |11/2(20)- 30*4|=|110-120|=|-10°|=10°
Hence, 10° is the correct answer.
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equation=
ordered pair=(3,-4)
Slope(m)=
y-intercept=2
The equation of the line, given the ordered pair and the y - intercept, is y = -2 x + 2
The slope ( m ) is - 2
How to find the equation ?The equation for a linear model takes the form :
y = mx + b
m = slope
b = y - intercept
As we have the ordered pair, and the y - intercept, we can find the slope:
y = mx + b
- 4 = 3 x slope + 2
3 x slope = - 4 - 2
Slope = - 6 / 3
Slope = - 2
The equation is therefore:
y = -2 x + 2
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parallel to the line y =-3x + 5; passes through (-4,5)
Answer:
Step-by-step explanation:
ham 3.45x
What is the domain and range
Answer:
Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The domain of a function is the set of values that we are allowed to plug into our function. While a functions range, is the set of values that the function can take.
To be more precise, he domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
A relation's domain can also be discussed, where one element in the domain may be mapped to more than one element in the range.
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The speed of light is 3 x 10 8squared m/s. if its frequency is 4.11 x 10 4squared Hz, what is its wavelengeth
Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength of a wave with a frequency of 4.11×10⁴ Hz is 7299.27 m.
WavelengthWavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
FrequencyFrequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Propagation speedThe propagation speed is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) using the following equation:
v = f×λ
Wavelengeth in this caseIn this case, you know:
v= 3×10⁸ m/s
f= 4.11×10⁴ Hz
λ= ?
Replacing:
3×10⁸ m/s= 4.11×10⁴ Hz× λ
Solving:
λ= 3×10⁸ m/s ÷ 4.11×10⁴ Hz
λ=7299.27 m
In summary, the wavelength of the wave is 7299.27 m.
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A car is 150 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
Hi, my name is Za'Riah! I will gladly help you with your problem. (see explanation)
Step-by-step explanation:
There really isn't much to explain or step out with this problem.
60% of 150 is 90
150 + 90 = 240 inches
The truck is 240 inches long.
Answer:
240
Evaluate the expression.
(13×6)×5
=
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played?
Write a system of equations to represent this situation.
Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").
Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"
How many 6 player games?
How many 2 player games?
13 points
The total 7 two-player games and 6 six-player games were played.
Here the total games = 13
And the total number of athletes participated = 50
Let us assume that x represents the total 2-player games played and y represents the total 6-player games played.
The neighborhood holds 13 total games.
So, we get an equation,
x + y = 13 ................(1)
There are 50 athletes signed up for a neighborhood basketball competition.
So, we get an equation,
2x + 6y = 50 .............(2)
From equation (1)
x = 13 - y ..........(3)
substitute above value of x in equation (2)
2(13 - y) + 6y = 50
26 - 2y + 6y = 50
4y = 24
y = 6
Substitute above value of y in equation (3)
x = 13 - 6
x = 7
Thus, we can conclude that the total 7 two-player games and 6 six-player games were played.
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help pls, i have one topic left in aleks
If the force is changed to 50N, the acceleration of the object becomes 10m/s²
How to determine the valueFrom the information given, we have that force is directly varies as the acceleration.
Given that;
F represents forcea represents the accelerationThis is represented as;
F ∝ a
Then, the constant is
F= ka
Now, make 'k' the subject of the formula, we get;
k = F/a
substitute the values to determine the value of k
k = 40/8 = 5
If the value of the force, F of the object changes to 50N, then the acceleration is given as;
a = F/k
Substitute the values into the formula
a = 50/5
Divide the values
a = 10m/s²
Hence, the value is a = 10m/s²
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