A(n)___
is a letter used as a placeholder for an unknown value.
what is the slope of the line determined by the cordinates (2,3) and (-6,-4)
Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° counterclockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?
Students use a balance to determine the mass of a marble in 7.5 G of graduated bottle contains 10 milliliters of water when the marble is carefully lowered into the granulated bottle and is completely covered with water the volume of the water containing the marble has increased to 12.5 ml what is the density of the marble
Answer:
3 g/ml
Step-by-step explanation:
After the marble was introduced into the graduated bottle, the volume change from 10 ml to 12.5 ml, this means that 12.5 - 10 = 2.5 ml is the volume occupied by the marble.
The mass of a marble is 7.5 g.
Density is defined as follows:
density = mass / volume =
Replacing with the measures:
density = 7.5/2.5 = 3 g/ml
what is the GCF of 20,36 and 72
Container A is 13 inches by 19 inches. by 25 inches.Container B is 13 inches by 13 inches by 31 inches.In cubic inches,how much greater is the volume of Container A.
Martin starts at 300 and counts by fives to 420. What are the last 6 numbers Martin will say?
Worker bees can travel at 24 km/h how fast can a worker bee travel in miles per hour
Ken and Hamid run around a track. It takes Ken 80 seconds to complete a lap. It takes Hamid 60 seconds to complete a lap. Ken and Hamid start running at the same time from the start line. How many laps will they each have run when they next meet on the start line?
The correct answer is:
Ken will have run 3 laps and Hamid will have run 4.
Explanation:
To find this, we first find the number of seconds that will have passed when they meet again. We use the LCM, or least common multiple, for this. First we find the prime factorization of each number:
80 = 10(8)
10 = 5(2)
8 = 2(4)
4 = 2(2)
80 = 2(2)(2)(5)(2)
60 = 10(6)
10 = 5(2)
6 = 2(3)
60 = 2(2)(3)(5)
For the LCM, we multiply the common factors by the uncommon. Between the two numbers, the common factors are 2, 2 and 5. This makes the uncommon 2, 2, and 3, and makes our LCM
2(2)(5)(2)(2)(3) = 240
This means every 240 seconds they will both be at the start line.
Since Ken completes a lap in 80 seconds, he completes 240/80 = 3 laps in 240 seconds.
Since Hamid completes a lap in 60 seconds, he completes 240/60 = 4 laps in 240 seconds.
Ken will have run [tex]3[/tex] laps and Hamid will have run [tex]4[/tex] laps when they next meet on the start line.
Take LCM of [tex]80,60 =240\\[/tex]
After every [tex]240[/tex] seconds they will both be at the start line.
So in [tex]240[/tex] seconds Ken covered
[tex]\dfrac{240}{80}=3laps\\[/tex]
So in [tex]240[/tex] seconds Hamid covered
[tex]\dfrac{240}{60}=4laps\\[/tex]
Ken will have run [tex]3[/tex] laps and Hamid will have run [tex]4[/tex] Laps.
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If you have 110 dollars and you rent a car that charges you 20 cents per mile, how many miles can you travel?
How do you find the area of a triangle
Write five expressions equivalent to 20x + 100
1x+5 2x+10 3x+15 4x+20 5x+25
Step-by-step explanation:
To write expressions equivalent to 20x + 100, we can use factoring, distributing, and properties of equality. Examples include 4(5x + 25), 10(2x + 10), and three other variations, all of which maintain the original value of the expression.
To write five expressions equivalent to 20x + 100, we can apply various mathematical techniques such as factoring, distributing, adding/subtracting terms, or using properties of equality. Here are five different equivalent expressions:
4(5x + 25)10(2x + 10)(100x + 500) \/ 520(x + 5)200(x/10 + 5)The equivalence of these expressions to 20x + 100 remains intact because they are simply restructured using basic algebraic principles without changing the value.
josh is inviting his friends to a party. he has 42 granola bars and 56 fruit drinks, and he wants to give the same number of each item to each friend.
Answer:
Number of granola bars that Josh gave to each of his friend =3
Number of fruit drinks that Josh gave to each of his friend =4
Step-by-step explanation:
Number of granola bars with Josh = 42
Number of fruit drinks with Josh = 56
He wants to give the same number of granola bars and fruit drinks to each friend.
To find : Number of granola bars and fruit drinks Josh give to each friend.
First, find HCF of 42 and 56 .
[tex]42=2\times 3\times 7\,,\,56=2^3\times 7[/tex]
Therefore, HCF ( 42, 56 ) = Highest common factor of 42 and 56 = 14
Number of granola bars that Josh gave to each of his friend = Number of granola bars with Josh / HCF ( 42, 56 )
= 42/14 = 3
Number of fruit drinks that Josh gave to each of his friend = Number of fruit drinks with Josh / HCF ( 42, 56 )
= 56/14 = 4
Is the answer to -8.8-3.4 positive or negative? I know. It is 12.2 but I don't know if it's -12.2 or +12.2
What’s the smallest value of .50, .00567, .055, and .05
A cashier has only one-dollar bills, quarters, and dimes. List all the ways you could receive $2.50 in change
Solve the formula for the bold variable.
V=lWh W- is the bold variable
The formula V=lWh is solved for W by dividing both sides of the equation by lh, providing the solution W = V / lh. This is a simple algebraic operation used for isolating the variable we're solving for, which is W in this case.
Explanation:The question asks to solve for the variable, W, in the formula V =lWh, where V represents volume, l represents length, h represents height, and W is the width we are solving for. To isolate W, you need to perform some algebraic operations. Let's go step by step:
First, we will divide both sides of the equation by l and h. So it becomes, W = V / lhThat's it! Now, the formula is solved for W.Remember, in algebra, the main goal is to isolate the variable we're trying to find on one side of the equation, which in this case is W.
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12−5x−4kx=y solve for x
Answer:
The value of the equation is [tex]x=\frac{12-y}{5+4k}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]12-5x-4kx=y[/tex]
We need to solve the provided equation for x.
Subtract 12 both side.
[tex]12-12-5x-4kx=y-12[/tex]
[tex]-5x-4kx=y-12[/tex]
Take -x common as shown:
[tex]-x(5+4k)=y-12[/tex]
Divide both sides by 5+4k.
[tex]-x=\frac{y-12}{5+4k}[/tex]
[tex]x=\frac{-y+12}{5+4k}[/tex]
[tex]x=\frac{12-y}{5+4k}[/tex]
Hence, the value of the equation is [tex]x=\frac{12-y}{5+4k}[/tex].
1 part sugar and 4 parts of water she uses 3/4 cup of sugar
What times what equals 0.59??
Paint costing $19 per gallon is to be mixed with thinner costing $3 per gallon. How much of each should be added to make 16 gallons of a mix that costs $14 per gallon?
To make a 16-gallon mix that costs $14 per gallon from a paint costing $19 per gallon and a thinner costing $3 per gallon, you need approximately 11.56 gallons of paint and 4.44 gallons of thinner.
Explanation:This is a problem of Mathematics, specifically Systems of Equations. Let's denote the amount of paint as P (in gallons) and the amount of thinner as T (in gallons). We are looking for the values of P and T that satisfy these two conditions:
P + T = 16 (The total volume of the solution should be 16 gallons)19P + 3T = 14 * 16 (The total cost of the solution should be $14 per gallon)This gives us two equations,
P + T = 1619P + 3T = 224Now, you can subtract the first equation from the second to solve for P,
18P = 208, therefore P = 208/18 = 11.56 gallons. Substitute P = 11.56 into the first equation to solve for T, T = 16 - 11.56 = 4.44 gallons. So, approximately 11.56 gallons of paint and 4.44 gallons of thinner should be mixed to get the desired 16-gallon mixture.
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To find the amounts of paint and thinner needed to make a $14 per gallon mix by mixing two different-priced liquids.
Mathematically, this problem can be solved using a system of equations.
Let x be the gallons of paint and y be the gallons of thinner. We have two equations based on the given information:
x + y = 1619x + 3y = 14 * 16Solving this system of equations will give you the amounts of paint and thinner that need to be mixed to achieve a $14 per gallon mix.
3 Questions Math! HELP!!!
Add using a number line.
56+(−116)
Drag and drop the word SUM to the correct value on the number line.
----------------------
Add 34+(−212) using the number line.
Select the location on the number line to plot the sum.
---------------------
What is the sum?
1.3+(−2.4)
Enter your answer, as a decimal, in the box.
Adding a negative number on a number line is equivalent to subtracting the absolute value of that number. Thus, 56+(−116) = -60, 34+(−212) = -178 and 1.3+(−2.4) = -1.1
Explanation:When you are adding a negative number on a number line, you are essentially performing a subtraction operation. Let's look at the three problems you've posted:
1. 56+(−116): Start at positive 56 on the number line and then move 116 steps to the left because we're adding a negative number. Your final position will be -60. So, 56+(−116) equals -60.
2. 34+(−212): Similarly, start at 34 on the number line and move 212 spaces to the left which results a value of -178. Therefore, 34 + (-212) = -178.
3. 1.3+(−2.4): Starting at 1.3 on the number line, if we move 2.4 steps to the left we end up at -1.1. So, 1.3 + (-2.4) = -1.1
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If 2x2 - x + 6 is subtracted from x2 + 3x - 2, the result is
x² + 2x - 8
x² - 4x + 8
-x² + 2x - 8
-x² + 4x - 8
Answer:
x^2 + 3x - 2 - (2x^2 - x + 6) =
x^2 + 3x - 2 - 2x^2 + x - 6 =
-x^2 + 4x - 8
the answer is 8
Which is true of a geometric plane? A) one-dimensional B) two-dimensional C) three-dimensional Eliminate D) no dimensions, only position
The geometric plane is two-dimensional since there are two variables.
A geometric plane is a plane which is a flat surface.
The general equation of a plane is :
ax + by + c = 0
Here x and y are variables.
Since there are two variables, the plane is two dimensional.
Or in other words, there are two directions for the plane.
So the geometric plane is two-dimensional.
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solve for 42-49 / (21-14) X 5+6
Solve for x. 3x−82=x−6
20 Points
3x-82 = x-6
subtract 1 x from each side
2x -82 = -6
add 82 to each side
2x = 76
divide both sides by 2
x = 76/2 =38
x = 38
Check:
3(38)-82 = 38-6
3*38 = 114, 114-82 =32 and 38-6 = 32 32 = 32 TRUE
Approximate √39 to the nearest whole number
Find three consecutive even numbers that have a sum of 36
Chloe wants to cut a 37 in. piece of ribbon into three pieces. The second piece is to be 2 in. longer than the first, and the third piece is to be 3 in. longer than the second. How long will each of the pieces be?
1st piece = x
2nd piece = x+2
3rd piece = x+2+3 = x+5
37 = x +x+2 + x+5 =
37 = 3x+7
30=3x
x = 30/3 = 10
1st piece = 10 inches
2nd piece = 10+2 = 12 inches
3rd piece = 10+5 = 15 inches
What is an even radicand in Algebra 2/ Trig? Please provide an example as well.