To solve for "p" in the equation "t = d + pm," isolate "p" by subtracting "d" from both sides: "t - d = pm." Then, divide both sides by "m" to find "p": "p = (t - d) / m." This formula allows you to calculate "p" based on given values of "t," "d," and "m."
To solve for "p" in the equation "t = d + pm," you need to isolate "p" on one side of the equation. Here's how you do it step by step:
Start with the Equation:
The equation is t = d + pm, where "t" represents a value, "d" represents another value, "p" is the variable we want to solve for, and "m" is yet another value.
Isolate the "pm" Term:
To get "pm" by itself, we need to eliminate the "d" term on the right side. We can do this by subtracting "d" from both sides of the equation:
t - d = pm
Solve for "p":
Now that "pm" is isolated on the right side, we can solve for "p" by dividing both sides by "m":
p = (t - d) / m
So, the solution for "p" in terms of "t," "d," and "m" is given by the formula p = (t - d) / m. This formula tells you how to calculate the value of "p" based on the values of "t," "d," and "m."
In practical terms, this equation might be used in various scenarios. For example, if "t" represents total distance, "d" represents a fixed distance, and "m" represents a constant speed, then "p" would represent the time it takes to cover the remaining distance to reach "t." This formula can be quite useful in solving real-world problems involving time, distance, and speed.
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Choose the correct transformation of the graph f(x) = |x + 8| - 3.
The graph of f(x) = x| is shifted to the left 8 units, down 3 units.
The graph of f(x) = x| is shifted to the right 8 units, down 3 units.
The graph of f(x) = x| is shifted to the left 8 units, up 3 units.
The graph of f(x) = x| is shifted to the right 8 units, up 3 units.
Answer:
A. The graph of f(x) = |x| is shifted to the left 8 units, down 3 units.
Step-by-step explanation:
We are given,
The transformed function is [tex]f(x)=|x+8|-3[/tex].
Now, the parent function is [tex]f(x)=|x|[/tex].
So, we have,
When the parent function is shifted 8 units to the left, the function is [tex]|x+8|[/tex].
This function when translated 3 units downwards gives [tex]f(x)=|x+8|-3[/tex].
Thus, we get,
The parent function f(x)=|x| is translated 8 units to the left and 3 units downwards.So, option A is correct.
Find the number of ways 4 members from a family of 5 can line up for a photo shoot?
Final answer:
There are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot. This is calculated using permutations, where the order of members matters, and is found by the formula 5! / (5-4)!.
Explanation:
To find the number of ways 4 members from a family of 5 can line up for a photo shoot, we use the concept of permutations since the order of arrangement matters.
In mathematics, the number of permutations for selecting r objects from a set of n objects is given by nPr, which is calculated as n! (n factorial) divided by (n-r)! (the factorial of the difference between n and r).
In this case, we want to arrange 4 out of 5 family members, so n = 5 and r = 4. The permutation formula gives us:
5P4 = 5! / (5-4)! = (5 × 4 × 3 × 2 × 1) / 1 = 120 ways.
Therefore, there are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot.
The measure of an angle is 79°. what is the measure of a supplementary angle?
Hence, the supplement angle is [tex]101[/tex] degree.
What are the angles?
Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.
The point at which the two rays meet (intersect) is called the vertex.
Here given that,
The measure of an angle is [tex]79[/tex] degree.
Let the supplement angle is [tex]x[/tex]
As we know that the supplement of an angle is [tex]180-x[/tex].
[tex]180-x=180-79[/tex]
[tex]=101[/tex] degree.
Hence, the supplement angle is [tex]101[/tex] degree.
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Final answer:
The measure of a supplementary angle to one that measures 79° is 101°, since supplementary angles sum up to 180°.
Explanation:
If the measure of an angle is 79°, the measure of a supplementary angle can be found by subtracting this angle from the total degrees in a straight line. In other words, the sum of the measures of supplementary angles is 180°. Therefore, to find the measure of a supplementary angle when one angle measures 79°, we perform the following calculation:
180° - 79° = 101°
So, the measure of the supplementary angle is 101°.
11) Solve b = g + (t – 1)w for t. *
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Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. What was the approximate percent error? Show your work to find the percent error. (2 points)
This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellite is placed in orbit. What is the volume of the nose cone?
45 cubic feet
60 cubic feet
90 cubic feet
180 cubic feet
Thank you :)
Answer:
[tex]45\pi\ ft^3[/tex]
Step-by-step explanation:
The volume of the cone can be calculated using formula
[tex]V_{cone}=\dfrac{1}{3}\cdot \pi r^2\cdot H,[/tex]
where [tex]r[/tex] is the radius of the base circle and [tex]H[/tex] is the height of the cone.
Since [tex]r=3\ ft[/tex] (half of the diameter given in the diagram) and [tex]H=15\ ft,[/tex] then
[tex]V_{cone}=\dfrac{1}{3}\cdot \pi \cdot 3^2\cdot 15=45\pi\ ft^3.[/tex]
A box contains only red yellow and green jelly beans. The number of red jelly beans 4/5 of the number of green jelly beans 3/4 the number of yellow ones. If there are 470 beans in total, what's the probability of picking yellow?
How many quarters have the same value as 85 dimes?
Find a Point-Slope equation for a line containing the given point and having the given slope. 1. (-4, 3), m = -12 2. (-15, 6), m = -3 3. (5, -2), m = -7 4. (3, -5), m = -2 5. (6, -2), m = -5 6. (-5, -2), m = -4 7. (7, 0), m = -3 8. (0, 9), m = -5 9. (5, 1), m = -10
How many subsets of exactly two elements does a set of five elements have?
A.10
B.26
C.7
D.32
Option: A is the correct answer.
A. 10
Step-by-step explanation:We know that the number of subsets of exactly ''r'' elements that is formed by the help of n elements is calculated by:
[tex]n_C_r[/tex]
Since here we have to chose 2 elements out of the 5 elements in order to form a subset.
Hence, we have: n=5 and r=2
Hence, the number of subsets are:
[tex]5_C_2=\dfrac{5!}{2!\times (5-2)!}\\\\\\5_C_2=\dfrac{5!}{3!\times 2!}\\\\\\5_C_2=10[/tex]
Hence, the number of subsets are:
10
Answer:
A. 10
Step-by-step explanation:
In a soccer league the ratio of boys to girls is 4 to 6, there are a total of 50 players in the soccer league how many girls play in the soccer league
Answer:
Number of girls = (6 / 10)* 50 = 6*5 = 30
so there are 30 girls in the soccer league.
Step-by-step explanation:
What is the missing term? (10x-4x^2)-(7x+?)=3x-6x^2
The given problem is =
[tex]( 10x-4x^{2} )-(7x+?)=3x-6x^{2}[/tex]
Lets suppose the missing term to be T
So equation becomes:
[tex]10x-4x^{2} -7x-T=3x-6x^{2}[/tex]
[tex]T=10x-4x^{2} -7x-3x+6x^{2}[/tex]
[tex]T=2x^{2}[/tex]
Hence, the missing term is [tex]2x^{2}[/tex]
Leo is roller-blading at a speed of 200 meters per minute. How long will it take him to roller-blade 1 km?
Answer:
5 min
Step-by-step explanation:
Apply THe ORder of operations to simplify the expression
90/ [10+(3² - 4)]
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Can an octagon have angles that measure 140, 120, 50, 95, 105, 100, 80 and 150
Marta believes that the equation of the line of best fit for the scatterplot below is y=-5/9x+23/9. Which statement best summarizes why Marta is likely incorrect?
Marta’s equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.
Marta’s equation has a positive y-intercept, but the scatterplot shows a negative correlation.
Marta’s equation has a negative slope, but the scatterplot suggests a negative y-intercept.
Marta’s equation has a negative slope, but the scatterplot shows a positive correlation.
The correct option is a.
Marta is likely incorrect because her equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.
Explanation:Marta is likely incorrect because her equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept. The y-intercept is the value of y when x equals zero, so if the scatterplot shows a negative y-intercept, it means that when x is zero, y is negative. However, Marta's equation predicts a positive y value when x is zero, which contradicts the scatterplot.
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A restaurant offers a $12 dinner special that has 77 choices for an appetizer, 1010 choices for an entrée, and 44 choices for a dessert. how many different meals are available when you select an appetizer, an entrée, and a dessert?
Belinda wants to buy 3 large boxes of oranges each box contains 4 bags of oranges and each bag has 10 oranges. How many oranges will she have?
Last month, Margo bought a tree that grows 2.5 cm each day. It was 5cm tall when she bought it and now it is 65 cm tall. Write an equation to determine the number of days Margo has owned the plant.
I’m Still stuck someone help ?!
angle y = arcos(2.25/6)
= 67.97 degrees
round to 68 degrees
68 is less than 75 so it is not safe to use
The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Answer:
0.60
Step-by-step explanation:
hope this helps
please help quick im offering 10pts and brainliest answer
(3a) ^ 3 =
This expression without exponents is 3aaa 3 • 3 • 3a 3a3a3a 3 • 3 • 3a 3
Answer: The correct option is (C) [tex]3a.3a.3a.[/tex]
Step-by-step explanation: We are given to select the correct representation of the following exponent expression :
[tex]E=(3a)^3.[/tex]
We will be using the following property of exponents :
[tex]a^n=a.a.a.~.~.~.~(n~times).[/tex]
So, for the given expression, we get
[tex]E=(3a)^3=3a.3a.3a.[/tex]
Thus, the correct representation is [tex]3a.3a.3a.[/tex]
Option (C) is CORRECT.
Rosa brought d drawings to an art show. After selling 15 of them she had 38 left. Identify the equation that situation and the correct solution
Answer:
The equation that identify the situation is:
d= x + y
d= 15+38
d= 53
She brought 53 drawings.
Step-by-step explanation:
We know that Rosa brought d numbers of drawings to an art show.
She sold 15 of them and she had 38 left.
The number d of drawings that she brought to an art show is:
d= x + y
Where:
d: number of drawings she brought
x: number of drawing she sold
y: number of drawings she had left
d= 15+38
d= 53
She brought 53 drawings.
Evaluate 4x3 + 2 for x = -1.
-62
-10
-6
-2
replace x with -1
4(-1)^3 +2 =
4*-1 +2
= -4 +2 = -2
answer is -2
Can you add a whole number to a number with a variable
: In order to solve the inequality -1/4 x > 8, which of the following steps must be done?
1.divide by -4 and keep the inequality symbol
2.divide by -4 and flip the inequality symbol
3.multiply by -4 and keep the inequality symbol
4.multiply by -4 and flip the inequality symbol
Multiply by -4 and flip the inequality symbol. The correct option is D.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Here are the steps to solve the whole equation of -1/4x > 8:
Simplify the fraction to x/4
Multiply both sides by 4
Multiply 8 x 4 so it can be 32
Multiply both sides by -1
The value of x is less than -32.
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Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube made from 27 unit cubes so that the surface area of the remaining solid is the same as the surface area of the original 3 by 3 by 3 cube? In how many different ways can this be done?
I removed all eight corners, leaving the total area unchanged.
I removed the central cube of the top surface obtaining an increase of the surface area with four units.
I removed one cube from the middle of an edge at the top (any of the four remaining) and I arrived at a figure with ten cubes less then the original one but with the same surface area.
https://nrich.maths.org/787/solutionThe cube can be removed from the top middle and from the center if a 3 by 3 by 3 cube is made from 27 unit cubes.
What is surface area?An object's surface area refers to the overall space that its surfaces occupy.
Given:
The dimensions of the cube are 3 by 3 by 3
Calculate the surface area of the cube as shown below,
Surface area = 6 × side²
Surface area = 6 × 3²
Surface area = 6 × 9
Surface area = 54
I eliminated each of the eight corners, leaving the entire space untouched.
I deleted the top surface's central cube to increase the surface area by four units.
I started with a shape that was ten cubes smaller than the original one but had the same surface area after removing one cube from the center of one of the top edges (any of the four still there).
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Almira earns $50 an hour. How much does she earn in 6 hours? What’s the independent and dependent variables?
Chloe draws three parallelograms. In each figure, she measures a pair of angles, as shown.
What is a reasonable conjecture for Chloe to make by recognizing a pattern and using inductive reasoning?
In a parallelogram, all angles are supplementary.
In a parallelogram, consecutive angles are supplementary.
In a parallelogram, consecutive angles are congruent.
In a parallelogram, all angles are congruent
Three parallelograms. The angles of the first parallelogram are 35 degrees and 145 degrees. The angles of the second parallelogram are 38 degrees and 142 degrees. The angles of the third parallelogram are 51 degrees and 129 degrees.