Answer: The required solution for p is [tex]p=2mr+q.[/tex]
Step-by-step explanation: We are given to solve the following equation for the variable p :
[tex]2m=\dfrac{p-q}{r}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given equation for p, we must take p on one side of the equation and all other terms on the other side.
From equation (i), we get
[tex]2m=\dfrac{p-q}{r}\\\\\Rightarrow 2mr=p-q~~~~~~~~~~~~~~[\textup{Cross-multiplication}]\\\\\Rightarrow p=2mr+q.[/tex]
Thus, the required solution for p is [tex]p=2mr+q.[/tex]
Miranda wants to buy as many collectible dolls as possible, for $2.50 each. If she has $45.00 to spend, how many dolls can she buy?
Which equation BEST represents this situation?
A) 45x = 2.5
B) 2.5x = 45
C) x + 2.5 = 45
D) x + 45 = 2.5
WILL MARK BRAINLIEST ANSWER
2x^2+20x=-38
show work
the greatest wind speed ever recorded on earth's surface is 231 miles per hour. what is the speed in kilometers per hour
To convert 231 miles per hour to kilometers per hour, multiply by the conversion factor of 1.60934, resulting in approximately 371.76 km/h.
The greatest wind speed ever recorded on Earth's surface is 231 miles per hour (mph). To convert this speed into kilometers per hour (km/h), we use the conversion factor that 1 mile is approximately 1.60934 kilometers. Therefore, the speed in kilometers per hour is given by multiplying the speed in miles per hour by this conversion factor.
Here is the calculation:
231 mph x 1.60934 = 371.75774 km/h.
Approximately, the wind speed would be 371.76 km/h after converting from miles per hour.
Solve the following equation. Then place the correct number in the box provided. 2x - 1 ≤ x + 5
Answer:
The solution for the inequality is [tex]x \leq 6[/tex].
Step-by-step explanation:
Consider the provided inequality.
[tex]2x - 1 \leq x + 5[/tex]
Subtract x from both the sides.
[tex]2x -x- 1 \leq x-x + 5[/tex]
[tex]x- 1 \leq 5[/tex]
Add 1 to both the sides.
[tex]x- 1+1 \leq 5+1[/tex]
[tex]x \leq 6[/tex]
Hence the solution for the inequality is [tex]x \leq 6[/tex].
Five more than three times a number q is written as
Answer:
Step-by-step explanation:
5+(3q) I think
Two radical expressions with the same degree and the same _____ are called like terms.
Answer:
Two radical expressions with the same degree and the same radicand are called like terms.
Step-by-step explanation:
All the terms that have same power and vari ables are called like terms.
For example: 3x²y and 5x²y are like terms, 2x³ and 7x³ are like terms, etc.
The number under the root is known as radicand.
Two radical expressions are like terms if
1. They have same degree.
2. They have same radicand.
Therefore the two radical expressions with the same degree and the same radicand are called like terms.
Two radical expressions are called like terms if they have the same degree and the same:
E. radicand
Two radical expressions are called like terms if they have the same degree and the same radicand. The radicand is the number or expression inside the radical symbol. For example, in the radical expression [tex]\(\sqrt{5}\)[/tex], the radicand is 5. For two radical expressions to be like terms, they must not only have the same index (degree) of the radical but also the same radicand.
Consider the expressions [tex]\(\sqrt{3}\) and \(2\sqrt{3}\)[/tex]. These are like terms because they both have the same degree (square root, which is an index of 2) and the same radicand (3). Similarly, [tex]\(\sqrt[3]{7}\) and \(4\sqrt[3]{7}\)[/tex] are like terms because both are cube roots with a radicand of 7.
However, [tex]\(\sqrt{2}\) and \(\sqrt{3}\)[/tex] are not like terms because their radicands differ. Likewise, [tex]\(\sqrt[4]{5}\) and \(\sqrt{5}\)[/tex] are not like terms because their degrees (indices) differ. Therefore, for radical expressions to be like terms, matching radicands and degrees are essential.
The correct question is:
Two radical expressions are called like terms if they have the same degree and the same
A. denominator
B. radical
C. term
D. number
E. radicand
What is 7 feet converted to miles?
Answer:
Step-by-step explanation:
Use the factor-label method you learned in chemistry (also known as dimensional analysis), keeping in mind 2 things:
the label you want needs to be on the top of the equivalent ratio, and
that there are 5280 feet in 1 mile. Having said that:
[tex]7feet*\frac{1mile}{5280 feet}=[/tex]
The math tells us to divide 7 by 5280. That means that
7 feet = .0013257576 miles, to however many decimal places you need. That 7575 is repeating, btw.
Y= f(x) 16x find f(x) when x= 1/2
The value of f(x) when x = 1/2 is 8.
Explanation:To find the value of f(x) when x = 1/2, we need to substitute x = 1/2 into the equation y = f(x) = 16x.
Substituting x = 1/2, we get y = f(1/2) = 16(1/2) = 8.
Therefore, f(1/2) = 8.
Why are black people always watched so closely at a liquor store?
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida. 3(f − 36) = 85 1 over 3f + 36 = 85 Quantity f minus 36 all over 3 equals 85 Quantity f plus 36 all over 3 equals 85 Question 3(Mu
TDC, Inc's . net profits were $-2000 each month last year . What was TDC's net profits for the year ?
The TDC's net profits for the year were -$24,000 if TDC, Inc's. net profits were $-2000 each month last year option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
TDC, Inc.'s net profits were $-2000 each month last year.
Let x be the net profit for the year
As we know there are 12 months in 1 year.
So the net profit:
x = $-2000×12
x = -$24,000
Thus, the TDC's net profits for the year were -$24,000 if TDC, Inc. net profits were $-2000 each month last year option (A) is correct.
Learn more about the linear equation here:
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Find the special product (5s-3)^(2)
A. 10s2 - 9
B. 25s2 -30s - 9
C. 25s2 - 9
D. 25s - 9 30x + 9
In the diagram below, ∠Q is bisected.
Find the perimeter of ΔPQS.
John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.00. After using a $6.00 gift certificate, they spend a total of $13.20. Write an equation to model this situation, and find the cost of one large drink. a. 3d + $13.00 – $6.00 = $13.20; $2.07 b. 4d + $13.00 – $6.00 = $13.20; $1.55 c. 4d – $13.00 + $6.00 = $13.20; $6.73 d. 4d + $13.00 – $6.00 = $13.20; $1.60
4d +13.00 -6.00 = 13.20
4d = 7.00 = 13.20
4d = 6.20
d - 6.20/4 =1.55
answer is B
What number can you add to √7 to get a rational number?
−7√
7√
7
0
If h(x)= 5 for the function h(x)= 2x+1, what is the value of x?
What is the measure of ∠ABC?
Enter your answer in the box.
The measure of the angle ∠ABC will be 95 degrees.
What is a quadrilateral?A quadrilateral is a shape made up of four sides having the sum of the angles 360 degrees. The given shape is like a parallelogram in which two sides are equal and at the same angles.
Given that angle A in the quadrilateral is 85 degrees. The value of the angle B will be calculated as:-
∠A + ∠B +∠C + ∠D = 360
85 + ∠B + 85 + ∠B = 360 ∠B = ∠D
170 + 2∠B = 360
2∠B = 360 - 170
2∠B = 190
∠B = 190 / 2
∠B = 95
Therefore, the measure of the angle ∠ABC will be 95 degrees.
To know more about a quadrilateral follow
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Evaluate the numerical expression. 4.2 − 3.5 ÷ 0.7 + 2.4 A) −3.2 B) 1.6 C) 11.6 D) 3.4
4.2 -3.5/0.7+2.4
order of operations, do division first
-3.5/0.7 = -5
now you have:
4.2-5 +2.4
now just add/subtract from left to right
4.2-5 = -0.8 + 2.4 = 1.6
Answer is B
In the diagram, JG = 5 cm and GE = 10 cm. Based on this information, can G be a centroid of triangle HJK? Point G cannot be a centroid because JG does not equal GE. Point G cannot be a centroid because JG is shorter than GE. Point G can be a centroid because GE and JG are in the ratio 2:1. Point G can be a centroid because JG + GE = JE.
in short terms it's b lol
Expand the logarithm. log₅ 5x⁻⁵
PLS HELP!
At day camp, hiking began at 8:30 a.m. and lasted 2 hours and 42 minutes. What time did hiking end? A. 9:02 a.m. B. 10:12 a.m. C. 11:12 a.m. D. 12:02 p.m.
Plz help ppl
Solve the inequality
5x < 16 + x.
A.) x < 1/4
B.) x > 1/4
C.) x < 4
D.) x > 4
The quotient of a number and 4, minus 1, equals 5/4. find the number
Final answer:
The equation (x / 4) - 1 = 5/4 is solved by isolating x and simplifying, which reveals that the number sought is 9.
Explanation:
To solve the equation where the quotient of a number and 4, minus 1, equals 5/4, we can set up the following algebraic expression:
Let x = the number we want to find.
Now, we translate the problem into an equation:
(x / 4) - 1 = 5/4
To find the value of x, follow these steps:
Add 1 to both sides of the equation to get the fraction by itself:
(x / 4) - 1 + 1 = 5/4 + 1
Simplify both sides:
(x / 4) = 5/4 + 4/4
Add the fractions on the right side:
(x / 4) = 9/4
Multiply both sides of the equation by 4 to solve for x:
4 * (x / 4) = 4 * (9/4)
Simplify both sides:
x = 9
Therefore, the number we are looking for is 9.
Can somebody PLEASE help me on this question, I really need an answer. What are the reasons for a,b,c, and, d?
Write the ratio of dogs to cats in simplest form. 12 dogs, 16 cats
Question 14 a certain drug is made from only two ingredients: compound a and compound
b. there are 3 milliliters of compound a used for every 4 milliliters of compound
b. if a chemist wants to make 497 milliliters of the drug, how many milliliters of compound b are needed?
HELP PLEASE!!
Graph the system of linear equations.
-1/2y=1/2x+5 and y=2x+2
The solution to the system is ( _ , _ )
the correct answer is -4, -6
What is 16% of 43 minutes
Answer:
16% of 43 minutes are 6.8 minutes.
Step-by-step explanation:
To know the percentage of a quantity first you should divide the percentage by a hundred, then you should multiply the quantities, as follows.
1. Calculate the percentage:
[tex]\frac{16}{100}=0.16[/tex]
2. Multiply the percentage by the quantity:
[tex]0.16*43=6.88[/tex]
Therefore 16% of 43 minutes are 6.8 minutes.
find the center and radius for the circle, given the equation: x2+16x+y2-6y=-24
Solve by completing the square
X^2+12x-13=0
To solve the quadratic equation x^2 + 12x - 13 = 0 by completing the square, follow these steps. The solutions to the equation are x = 1 or x = -13.
Explanation:To solve the quadratic equation x^2 + 12x - 13 = 0 by completing the square, follow these steps:
Move the constant term to the other side of the equation:x^2 + 12x = 13Take half of the coefficient of the x-term and square it:(12/2)^2 = 36Add this value to both sides of the equation:x^2 + 12x + 36 = 13 + 36Factor the left side of the equation, which should be a perfect square:(x + 6)^2 = 49Take the square root of both sides and solve for x:x + 6 = ±√49x + 6 = ±7x = -6 ± 7Therefore, the solutions to the equation are x = 1 or x = -13.