Both expressions (20 – 4) – 2 and 20 – (4 – 2) are equivalent, simplifying to 14. The equivalence exemplifies the Associative Property of Addition.
The question asks to determine whether the two expressions (20 – 4) – 2 and 20 – (4 – 2) are equivalent, and if so, to identify the property applied. To determine equivalence, we need to simplify both expressions. The first expression, (20 – 4) – 2, simplifies to 16 – 2 which equals 14. The second expression, 20 – (4 – 2), simplifies to 20 – 2 which also equals 14. Therefore, both expressions are equivalent, and the property applied here is the Associative Property of Addition, which allows us to change the grouping of the numbers we're adding (or subtracting, in this case) without changing the result.
Which scoring scheme is the most favorable to the test taker?
Answer:
If the situation is: Sebastian has researched the following scoring schemes: one that has 5 question choices, one that has 4 question choices, and two that have 3 question choices. Which scoring scheme is the most favorable to the test taker?
Then I believe the answer is scheme D
Step-by-step explanation:
edge ( Brainliest if you can)
What makes the ratio equivalent to 11:44
Answer:
1:4
Step-by-step explanation:
1:4=11:44
Edward owes his parents $20 for a new video
game that he bought. He pays his parents back
$5 every 2 days. Complete the table and graph
to find how long it will take Edward to
pay back his debt.
Answer:
it would take Edward 8 to pay back his debt
Step-by-step explanation:
every 2 days he pays his parents 5 bucks so because 5 times 4 equals 20 he would have to multiply the 4 by 2 and that gets you 8 days
Final answer:
Edward will pay back his $20 debt to his parents by repaying $5 every 2 days; thus, it will take him 8 days in total to repay the full amount.
Explanation:
The question asks us to determine how long it will take for Edward to pay back a $20 debt to his parents if he repays $5 every 2 days. To solve this, we can set up a simple table showing the cumulative amount paid over time, and then establish a corresponding graph if needed. Here's how the repayment schedule works out:
Day 0: $0 paid back
Day 2: $5 paid back (Total: $5)
Day 4: $5 paid back (Total: $10)
Day 6: $5 paid back (Total: $15)
Day 8: $5 paid back (Total: $20)
From the table, it is clear that it will take Edward 8 days to pay back the full $20 debt.
if a pair of 1-6 number generators is tossed once, what is the propabilitly that the total number rolled would be..1?.... 2?.... 3?
Probability that the total number rolled would be 1 , 2 , 3 is [tex]\frac{1}{6}[/tex] or 0.167 each .
Step-by-step explanation:
Here we have , a pair of 1-6 number generators is tossed once, . We need to find that what is the probability that the total number rolled would be..1?.... 2?.... 3?. Tossed once, and number of outcomes are { 1,2,3,4,5,6 } out of which we need to find probability that the total number rolled would be 1 , 2 , 3 .
Probability for 1: Number 1 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Probability for 2:Number 2 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Probability for 3:Number 3 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Two sides of a triangle measure 10 cm and 18 cm. Which could be the measure of the third side of the triangle?
6 cm
8 cm
12 cm
30 cm
Answer:
12cm is the answer as the two lowest sides must be more in size than its longest side. 10+12=22
Step-by-step explanation:
Final answer:
The possible length of the third side of a triangle with two sides measuring 10 cm and 18 cm, according to the Triangle Inequality Theorem, must be more than 8 cm and less than 28 cm. Therefore, the valid measures among the given options are 8 cm and 12 cm.
Explanation:
The question concerns determining the possible length of the third side of a triangle when the lengths of the other two sides are given. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Using this theorem, if we have sides measuring 10 cm and 18 cm, the possible lengths of the third side could be more than the difference of the two given sides and less than their sum. Therefore, the third side must be greater than 8 cm and less than 28 cm.
Among the given options, 6 cm is not a possible length because it is less than 8 cm and would not satisfy the Triangle Inequality Theorem. Similarly, 30 cm is not a possible length because it exceeds the sum of the two given sides. However, both 12 cm and 8 cm are possible lengths for the third side since both values are within the allowable range.
(-6)*(-6)*(-6)*z*z
the expression is
Answer: (-6)³z² = -216z²
Step-by-step explanation:
(-6)(-6)(-6)z·z
-6 is multiplied by itself 3 times so gets an exponent of 3 --> (-6)³
z is multiplied by itself 2 times so gets an exponent of 2 --> z²
need this answer asap my homework is due soon
Answer:
a) x < 3
b) 3,4,5,6
c) x > 6
Step-by-step explanation:
a) x < 3
b) 3,4,5,6
c) 3x + 7 > x + 19
2x > 12
x > 6
I need help ASAP! Please do not decimal it
Answer:
the correct answer for this question is
1¹/³ is 0.333'
and the second one is 1.111'
Answer:
Place one on the 3rd mark after one, then the 5th mark after 2
Step-by-step explanation:
Which of the following sets does not contain any irrational numbers?
{-5.12,pi,30}
{square root of 80, 100, 6.56}
{ 9/2 , square root of 100, 5.123}
{5.123..., 1/2 , -65}
Answer:
{ 9/2 , square root of 100, 5.123}
Step-by-step explanation:
The answer would be an option (D) {5.123..., 1/2, -65}. This set does not contain any irrational numbers.
What are real numbers?Real numbers are defined as the value of a continuous quantity that can represent a distance along a line of a real number in mathematics. Rational and irrational numbers are both real numbers. Rational numbers such as integers (-7, 0, 4), fractions(5/2,7/2, 4.2), and irrational numbers such as √5, π, etc., are all real numbers.
According to the given options
(A) {-5.12,pi,30}
Here the irrational number is pi
(B) {square root of 80, 100, 6.56}
Here the irrational number is the square root of 80 i.e. (√80)
(C) { 9/2, square root of 100, 5.123}
Here the irrational number is the square root of 100i.e. (√100)
(D) {5.123..., 1/2, -65}
Here this set does not contain any irrational numbers
Hence, the answer would be option (D) {5.123..., 1/2, -65}. This set does not contain any irrational numbers.
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Practice
pies and factors - QUIZ - LEVEL
Which statement is true?
4 is a factor of 18.
4 is a factor of 20.
4 is a factor of 26.
4 is a factor of 30.
Answer:
4 is a factor of 20.
Step-by-step explanation:
Final answer:
The true statement regarding factors is that 4 is a factor of 20. This is proven by dividing 20 by 4, which results in 5 without any remainder.
Explanation:
The question asks which statement is true regarding factors of numbers. A factor is a number that can divide another number without leaving a remainder. For example, 4 is a factor of 20 because when you divide 20 by 4, there is no remainder, and you get 5 which is a whole number. So the true statement among the given options is that 4 is a factor of 20.
Looking at the other options, 4 is not a factor of 18 since 18 divided by 4 gives you 4 with a remainder of 2. Similarly, 4 is not a factor of 26 because 26 divided by 4 is 6 with a remainder of 2. Lastly, 4 is not a factor of 30 because 30 divided by 4 is 7 with a remainder of 2. Therefore, the correct answer is that 4 is a factor of 20.
One container is filled with a mixture that is 30% acid. A second container is filled with a mixture that is 50% acid. The second container is 50% larger than the first, and the two containers are emptied into a third container. What percent of acid is the third container?
Answer:
42% acid
Step-by-step explanation:
Suppose that these two storage containers are filled to complete capacity?
That makes the second container have 3 volume parts and the first container having 2 volume parts.
v*(1.50)= (3/2)*v
First Container 2v 30% acid
Second Container 3v 50% acid
The mixture of all of this is in the third container. Two parts plus three parts is 5 parts for the mix volume.
=(2*30+3*50)/5
=210/5
=42
So,
42 % Acid, mixture
Final answer:
After calculating the quantities of acid from both containers and their total volume, the final acid concentration in the mixture in the third container is found to be 42%.
Explanation:
The student has asked about finding the percentage of acid in a third container after mixing two solutions with different acid concentrations. This question involves proportion and percentage calculations, which are commonly covered in high school mathematics.
To find the final concentration of acid in the third container, we can use the formula final concentration = (quantity of acid in container 1 + quantity of acid in container 2) / total volume. Assume the first container has a volume of V liters. Since the second container is 50% larger, it has a volume of 1.5V liters.
Acid in the first container = V liters × 30% = 0.3V liters
Acid in the second container = 1.5V liters × 50% = 0.75V liters
Total volume = V + 1.5V = 2.5V liters
Thus, the final concentration of acid = (0.3V + 0.75V) / 2.5V = 1.05V / 2.5V = 42%.
The final acid concentration in the third container is 42%.
A table representing the function f(x) = 2(three-halves) Superscript x is shown below. A 2-column table has 4 rows. The first column is labeled x with entries (0, 1, 2, 3). The second column is labeled f (x) with entries 2, 3, 4.5, 6.75. What is true of the given function? The function increases at a constant additive rate. The function increases at a constant multiplicative rate. The function has an initial value of 0. As each x value increases by 1, the y values increase by 1.
Answer:
The function increases at a constant multiplicative rate.
Step-by-step explanation:
I had it
The correct conclusion about the function is 2: "the function increases at a constant multiplicative rate".
Given information:
The value of function f(x) is shown in the below table:
x 0 1 2 3
f(x) 2 3 4.5 6.75
So, the value of x changes from 0 to 3, and the value of function f(x) changes from 2 to 6.75.
Following observations can be made using the given values:
The function starts with an initial value of 2.The value of function increases with a constant multiplicative rate. The constant rate is 1.5 times. The increase of value of function is not constant as it is multiplicative.From the above conclusions and the given options, it can be said that the correct option is 2.
Therefore, the correct conclusion about the function is 2: "the function increases at a constant multiplicative rate".
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Each lapel on a suit jacket is in the shape of a triangle.the three angles of each triangle measure 47 , 68 and 65. classify the triangle by its angles
The type of triangle is acute angled triangle.
Solution:
Let us first define the type of triangles based on angles.
If all angles of a triangle are less than 90°, then it is acute angled triangle.
If any one angle of a triangle is exactly 90°, then it is right angled triangle.
If any one angle of a triangle is more than 90°, then it is obtuse angled triangle.
Given angles of a triangle:
47°, 68° and 65°
Here all the three angles are less than 90°.
Hence it is a acute angled triangle.
Which fraction is larger 2/3 3/12 4/5 3/4
Answer:
4/5
Step-by-step explanation:
2/3 is 0.66666666
3/12 is 0.25
4/5 is 0.8
3/4 is 0.75
The largest fraction is 4/5.
Comparing Of Fractions.
To compare these fractions, make sure they all have the same denominator.
The lowest common factor is 60
Now, express each fraction with a denominator of 60.
2/3 = 40/60
3/12 = 15/60
4/5 = 48/60
3/4 = 45/60
Therefore, the largest fraction is 48/60 which is equivalent to 4/5.
So, 4/5 is the largest fraction among the given fractions.
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what’s the hypotenuse?
Answer:
c = 10 feet
Step-by-step explanation:
Use the Pythagorean theorem: a^2 + b^2 = c^2
Step 1: Plug in the information
(6)^2 + (8)^2 = c^2
36 + 64 = c^2
100 = c^2
sqrt(100) = sqrt(c^2)
10 = c
Answer: c = 10 feet
the area of the base (B) of a triangular pyramid is 28 cm. The perimeter (p) is 20 cm, and the slant height (S) is 5 cm. Determine the pyramid's surface area. A) 96 cm2 B) 128 cm2 C) 225 cm2 D) 78 cm2
Answer: D. 78cm2
Step-by-step explanation:
SA=B+1/2ph
SA=28+1/2(20)(5)
SA=78cm2
Answer:
78 cm2
SA = B +
1
2
ph
SA = 28 +
1
2
(20)(5)
SA = 78 cm2
The path of a ball kicked from the ground can be modeled by the equation y=−1/3(x−3)(x−21), where x and y are measured in feet. The x-axis represents the ground. How far does the ball land from where it is kicked?
The ball lands
feet from where it is kicked.
Answer:
The ball lands 18 feet from where it is kicked.
Step-by-step explanation:
Given : The path of a ball kicked from the ground can be modeled by the equation [tex]y=-\frac{1}{3}(x-3)(x-21)[/tex], where x and y are measured in feet. The x-axis represents the ground.
To find : How far does the ball land from where it is kicked?
Solution :
According to question,
The value of y is zero as it is kicked from ground.
So, [tex]0=-\frac{1}{3}(x-3)(x-21)[/tex]
Applying zero product property,
[tex]a\cdot b\cdot c=0\Rightarrow a=0\text{ or }b=0\text{ or }c=0[/tex]
i.e. [tex]-\frac{1}{3}\cdot (x-3)\cdot (x-21)=0[/tex]
[tex]x-3=0[/tex]
[tex]\Rightarrow x=3[/tex]
[tex]\text{ or }x-21=0[/tex]
[tex]\Rightarrow x=21[/tex]
The distance the ball land from where it is kicked is d=21-3=18.
Therefore, the ball lands 18 feet from where it is kicked.
The ball lands 18 feet from where it is kicked.
To find out how far the ball lands from where it is kicked, we need to determine the horizontal distance traveled by the ball when it hits the ground again. The x-axis represents the ground, so we are looking for the x-coordinate of the point where the ball lands, which is when y = 0.
Given the equation of the path of the ball:
[tex]\[ y = -\frac{1}{3}(x - 3)(x - 21) \][/tex]
We set y to 0 to find the x-coordinates where the ball touches the ground:
[tex]\[ 0 = -\frac{1}{3}(x - 3)(x - 21) \][/tex]
This equation can be factored to:
[tex]\[ 0 = (x - 3)(x - 21) \][/tex]
Setting each factor equal to zero gives us two solutions for x:
[tex]\[ x - 3 = 0 \quad \text{or} \quad x - 21 = 0 \][/tex]
[tex]\[ x = 3 \quad \text{or} \quad x = 21 \][/tex]
These solutions represent the x-coordinates where the ball is kicked (x = 3) and where it lands (x = 21). To find the distance between these two points, we subtract the smaller x-coordinate from the larger one:
[tex]\[ \text{Distance} = 21 - 3 = 18 \text{ feet} \][/tex]
However, since the ball is kicked from the ground and lands back on the ground, the distance it travels horizontally is the absolute value of the difference between the two x-coordinates:
[tex]\[ \text{Horizontal distance} = |21 - 3| = |18| = 18 \text{ feet} \][/tex]
Challenge: Find the area of the polygon.
space.
2.4 m
0.4 m
0.4
m
0.4 m
1.0
ms
W 90
Your answer
Answer:
[tex]3.6 {m}^{2} [/tex]
Step-by-step explanation:
The area of a rectangle is length times width.
We divide the polygon into 4 rectangles:
The area of the first rectangle is :
[tex]0.4 \times 0.4 = 0.16 {m}^{2} [/tex]
The area of the second rectangle is
[tex]2.4 \times 0.6 = 1.44 {m}^{2} [/tex]
The area of the 3rd rectangle is
[tex]1.6 \times 1 = 1.6 {m}^{2} [/tex]
The area of the fourth rectangle is
[tex]0.4 \times 1 = 0.4 {m}^{2} [/tex]
Putting all together, the area of the polygon is;
0.16+1.44+1.6+0.4=3.6m²
Solve the value of y.
I believe that y=17.8
I hope that helps you!
On 1st January 2016 Li bought a boat for $170000
The value of the boat depreciates by 8% per year.
Work out the value of the boat on 1st January 2019
Give your answer correct to the nearest dollar.
After a depreciation of 8% per year for 3 years, the value of Li's boat depreciates to approximately $136258, according to the formula for calculating the value of an asset after a certain number of years of depreciation.
Explanation:The value of an asset after a certain number of years, taking into account annual depreciation, can be calculated using the formula: Preliminary Value x ((100 - Depreciation Rate) / 100) ^ Years Of Depreciation.
Given that the initial value of Li's boat was $170,000 and it depreciated by 8% each year, we can substitute these values into the formula to find the value of the boat on 1st January 2019 (after 3 years).
So, the boat's value would be: $170,000 x ((100 - 8) / 100) ^ 3. This simplifies to $170,000 x (0.92) ^ 3, yielding a final value of approximately $136258
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If the r-value, or correlation coefficient, of a data set is 0.934, what is the
coefficient of determination to three decimal places?
Distributive property of (-1)(4-c)
Answer:
[tex]\huge\boxed{(-1)(4-c)=c-4}[/tex]
Step-by-step explanation:
[tex]\text{The distributive proeperty:}\ a(b+c)=ab+ac\\\\(-1)(4-c)=(-1)(4)+(-1)(-c)=-4+c=c-4[/tex]
Which expressions are equivalent to_____? Check all that apply.
Option 1. [tex](-2)(5x) + (-2)(-\frac{3}{4})[/tex] and option 4.[tex]-10x + \frac{3}{2}[/tex] are equivalent to [tex]-2(5x-\frac{3}{4} ).[/tex]
Step-by-step explanation:
Step 1:
The given expression is expanded as follows.
The -2 is multiplied with the 5x and then the -2 is multiplied with the [tex]-\frac{3}{4}[/tex].
So the expression becomes as follows;
[tex]-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}).[/tex]
This is the first option given so the first expression is equivalent.
Step 2:
[tex]-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}) = -10x + \frac{6}{4} = -10x + \frac{3}{2} .[/tex]
Of the other four options, only the fourth expression has the fraction [tex]\frac{3}{2}[/tex] so the fourth expression is also equivalent.
Expressions 1 and 4 are equivalent to the given expression.
a bakery uses 3/5 a cup of sugar for each cookies.How many batches of cookies can they make with 9 cups of sugar?
Answer:
12
Step-by-step explanation:
divide 9 by 3/5 or .75
A line goes through the points (-1,9) and (1,1).Write the equation of this line in point slope form using one of these points.
Answer:
y-9= -4(x+1)
Step-by-step explanation:
First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).
tan x= 3÷5 nearest tenth
Answer:
17.0°
Step-by-step explanation:
We want to solve
[tex] \tan(x) = \frac{3}{10} [/tex]
We take inverse tangent of both sides using a scientific calculator to get:
[tex]x = { \tan}^{ - 1} ( \frac{3}{10} )[/tex]
[tex]x = 16.6992[/tex]
We round to the nearest tenth to get;
[tex]x = 17.0 \degree[/tex]
Therefore the value of x is 17.0°
Find the perimeter of the triangle below. Then, explain the steps you used to find the perimeter
The perimeter of the triangle = 60 cm
Solution:
The given triangle is a right triangle.
Base of the triangle = 15 cm
Hypotenuse = 25 cm
Let the unknown side of the triangle be x.
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]x^2+15^2=25^2[/tex]
[tex]x^2+225=625[/tex]
Subtract 225 from both sides,
[tex]x^2=400[/tex]
Taking square root on both sides, we get
x = 20
The unknown side of the triangle is 20 cm.
The perimeter of the triangle = Sum of the sides of the triangle
= 15 cm + 25 cm + 20 cm
= 60 cm
The perimeter of the triangle = 60 cm
Anna pays for her purchase with four $20 bills and two $10 bills. Which is the correct change for Anna's purchase?
A) Two $1 bills, one nickel, and two pennies
B) Two $1 bills and one dime
C) Three $1 bills, one nickel, and two pennies
D) Three $1 bills, two nickels, and two pennies
E) None of the above
Answer:
what was she buying ?total she has 100 dollars
Step-by-step explanation:
What is the area of this parallelogram?
A.60 cm²
B.66 cm²
C.72 cm²
D.132 cm²
Answer:
Hello, Your answer will be,D) 132cm²
Hope That Helps! And if you find this answer helpful you can give me a brainleist!
The smalltown Zoo has 2 African elephants. An elephant eats 230 pounds of food per day. How many pounds of food are needed to feed the elephants for an entire week?
Answer:
3,220
Step-by-step explanation:
3220 is how much food you will need for both elephants